Vorticity
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nan 15 17 18 17 17 16 15 15 17 20 22 20 18 15 14 12 11 9 5 3 5 8 10 11 11 8 5 4 4 4 5 6 5 4 3 1 1 3 7 10 11 11 11 11 9 8 9 10 10 8 6 7 7 6 5 5 6 6 6 6 6 7 11 16 20 24 25 23 21 18 15 12 8 5 5 8 10 9 9 9 10 9 7 6 7 10 14 15 13 10 7 6 6 7 6 5 6 10 11 10 8 5 4 5 6 8 9 11 12 13 15 17 19 20 19 16 15 16 17 19 22 24 21 14 6 2 2 4 6 6 7 7 9 11 14 17 17 13 9 5 3 3 7 9 7 3 2 2 2 4 8 9 10 9 10 12 15 13 8 1 -3 1 8 14 17 17 16 15 14 12 9 7 6 6 7 8 9 8 8 7 7 7 7 7 7 7 8 8 8 nan
nan 12 13 14 15 15 15 13 12 14 18 21 20 18 17 15 15 14 12 8 6 7 9 10 10 9 7 5 4 4 4 5 7 8 7 6 3 3 5 8 10 11 12 13 13 12 10 8 8 8 7 7 8 7 6 5 4 5 6 6 5 4 4 6 11 18 23 26 25 22 19 17 15 13 11 9 9 10 9 9 10 12 12 10 8 7 9 13 15 14 12 10 7 5 4 3 4 7 12 13 10 6 3 3 5 8 9 9 9 9 10 13 18 22 23 18 11 8 9 12 16 21 22 19 11 5 5 11 15 14 10 3 -2 -3 0 6 14 20 20 18 13 9 5 4 6 6 4 3 3 5 8 10 11 13 14 14 12 9 7 4 1 -0 3 10 15 17 17 16 14 12 9 7 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 nan
nan 11 13 14 15 14 12 10 9 10 15 19 19 18 17 15 14 14 12 10 8 8 9 9 8 7 6 7 8 9 8 8 7 7 6 6 5 5 7 8 9 11 11 12 12 11 10 8 7 7 9 9 9 8 6 4 3 4 5 5 5 5 5 6 7 12 18 22 23 22 20 17 16 15 14 13 12 11 9 10 12 14 16 15 12 10 10 12 14 15 15 13 11 8 6 6 7 11 13 13 9 4 0 -0 3 7 10 10 8 7 8 11 18 24 24 15 5 -1 -2 1 7 14 20 20 14 10 12 21 25 21 13 4 -3 -7 -6 -1 4 11 15 15 13 9 6 3 4 6 6 7 8 8 7 7 9 14 17 16 10 7 5 4 4 4 7 11 15 16 15 14 11 9 7 6 7 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 8 nan
nan 12 16 17 17 14 10 7 7 9 13 16 17 15 14 12 11 10 10 9 9 9 9 8 7 6 7 9 10 11 11 10 7 5 4 5 6 7 9 9 9 10 10 10 9 9 8 7 6 7 9 10 10 9 7 5 4 4 5 5 5 7 7 7 6 7 11 15 18 19 20 19 18 16 15 15 14 13 12 13 15 17 19 18 15 12 11 12 14 16 16 16 15 12 9 7 8 10 12 12 9 5 2 -0 1 6 10 11 10 8 8 11 17 22 22 15 4 -4 -7 -6 -2 5 14 19 17 16 18 23 25 22 16 11 7 3 1 1 1 3 6 8 8 7 5 5 6 8 9 9 8 6 3 2 8 15 18 14 8 5 4 5 6 8 10 13 15 14 13 12 10 8 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 14 18 19 16 12 8 6 7 10 14 15 14 12 10 9 8 7 8 9 10 9 8 7 7 7 7 8 9 8 8 7 6 4 4 6 8 10 10 10 9 9 9 8 6 6 7 7 6 7 9 10 9 9 7 6 5 5 6 7 7 8 8 8 6 6 8 11 15 18 20 21 20 18 16 17 17 17 15 16 18 19 18 16 14 13 13 13 15 16 18 18 18 15 11 6 4 6 9 9 9 6 3 1 2 7 11 13 12 11 11 12 16 20 20 16 9 3 -2 -4 -4 -0 6 12 16 17 17 15 14 15 17 18 18 16 14 11 7 5 5 6 7 8 8 8 9 11 11 8 6 3 1 3 12 17 15 9 4 3 4 6 8 10 12 14 14 13 13 12 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 15 18 17 13 9 6 6 8 11 14 14 12 10 8 7 7 8 9 10 10 9 7 5 5 5 5 5 5 5 5 6 6 6 7 8 10 11 11 10 10 9 8 6 5 5 6 7 8 10 11 10 9 9 9 8 6 5 7 9 10 9 8 8 7 7 8 11 15 20 23 24 23 21 19 20 20 18 16 16 16 16 14 12 10 11 13 14 16 18 19 20 20 18 13 9 6 6 8 8 8 7 5 3 4 8 12 13 12 12 13 15 16 18 17 15 14 12 8 4 2 -0 1 5 10 13 11 6 3 4 11 16 19 21 21 18 14 11 10 10 12 11 10 9 10 11 10 7 5 3 4 8 15 16 10 4 1 2 5 6 8 10 13 13 13 12 12 12 12 12 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 nan
nan 14 15 14 10 6 5 7 9 12 13 12 11 10 8 8 8 10 10 11 10 8 6 3 1 1 2 3 3 4 5 6 7 7 8 10 11 11 11 11 10 9 7 6 5 5 6 8 10 12 13 13 11 10 10 10 9 8 9 10 10 9 7 7 8 8 9 11 15 20 23 25 25 23 22 22 21 18 14 12 11 10 9 7 6 7 10 14 16 19 21 22 23 21 17 15 13 11 10 9 9 9 8 6 5 6 8 9 10 12 14 17 18 16 13 13 15 17 16 13 10 6 2 1 3 6 6 2 -2 -2 3 9 13 16 20 21 18 16 14 14 14 13 11 10 10 9 8 7 6 6 7 10 12 10 4 1 0 3 5 7 9 11 13 13 12 11 11 12 12 13 13 12 11 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 nan
nan 12 13 12 9 6 6 8 11 12 11 10 9 9 10 10 10 10 10 9 7 6 5 2 0 -1 1 2 3 4 6 7 7 7 8 9 9 10 11 11 10 9 8 8 8 8 8 8 9 11 13 14 13 12 12 11 11 10 11 12 11 9 8 7 8 9 9 11 13 17 21 23 24 23 22 21 20 17 14 10 8 7 6 4 4 5 8 12 16 19 23 26 27 25 22 19 17 14 11 10 10 11 11 8 3 0 0 3 7 11 14 17 17 14 10 11 14 18 19 18 16 12 8 4 2 3 3 2 0 -1 -1 1 4 8 13 16 17 15 14 12 10 9 11 13 12 10 7 7 8 9 10 10 9 5 2 1 2 3 5 7 10 12 13 13 12 11 11 11 12 12 13 12 11 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 nan
nan 10 12 11 9 8 8 10 12 12 11 8 7 8 9 10 9 8 7 6 4 4 5 5 4 4 4 5 6 7 7 7 7 7 7 7 7 9 12 12 12 11 11 12 13 12 10 9 9 11 13 14 14 14 13 12 11 11 11 11 10 9 9 9 10 10 10 10 11 12 15 18 19 18 17 16 17 16 14 11 8 6 5 5 5 6 8 11 15 19 23 28 30 27 21 17 15 12 9 8 7 9 9 7 1 -3 -3 -0 5 11 14 15 14 11 8 8 11 14 17 18 17 16 14 11 8 6 6 5 5 3 1 -1 -0 2 5 7 8 8 7 4 2 2 7 12 13 11 9 8 9 10 11 10 9 6 4 4 4 4 5 7 11 13 14 14 12 11 10 10 11 11 12 12 11 11 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 nan
nan 11 12 12 9 8 9 11 12 12 10 9 8 7 7 8 7 6 5 3 3 4 5 8 9 10 10 8 8 8 8 8 7 6 5 5 6 9 12 13 13 13 13 14 16 15 13 12 11 12 13 14 14 14 14 13 11 10 8 7 7 7 8 9 10 10 9 10 10 10 10 11 12 13 13 12 12 13 13 11 9 7 6 6 7 8 9 11 15 18 22 26 28 24 18 13 10 8 6 4 4 4 5 5 2 -0 -0 2 6 11 12 11 8 5 4 4 6 9 12 13 14 15 15 15 13 11 11 12 11 9 6 3 2 2 3 3 2 0 -0 -1 -2 -3 -0 6 11 12 11 10 10 11 12 12 11 9 7 6 5 4 5 7 10 13 14 13 12 11 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 nan
nan 12 12 11 9 8 10 11 12 11 9 8 8 8 7 7 7 7 6 5 4 4 5 7 9 12 12 10 8 9 10 10 9 8 6 6 6 9 11 12 13 13 14 14 15 15 14 14 13 13 12 12 12 12 13 12 11 9 7 5 4 5 7 9 9 9 9 10 10 10 9 8 9 9 10 10 9 9 8 7 6 5 5 7 9 10 11 13 15 18 21 23 24 21 15 11 8 7 7 6 6 8 10 11 10 7 6 6 7 10 9 6 2 -1 -2 -0 2 5 8 10 11 12 14 15 15 15 16 18 16 13 11 9 8 7 7 5 4 1 0 0 -0 -1 -0 5 11 14 15 14 12 12 13 13 13 11 8 6 5 4 5 7 10 11 12 12 12 11 10 10 10 10 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 nan
nan 11 11 10 10 10 11 11 11 9 7 7 8 9 10 10 10 10 10 8 6 4 4 4 6 8 9 10 9 10 12 12 12 10 8 7 7 9 11 12 13 13 13 12 12 12 13 13 12 11 10 8 8 9 11 11 9 7 6 5 5 6 8 8 8 9 9 9 9 9 9 8 8 8 7 7 6 5 5 5 5 5 5 7 10 12 13 15 16 18 19 21 21 19 15 12 11 11 11 10 12 16 19 19 18 14 10 8 7 8 6 2 -1 -3 -3 -1 3 7 10 11 11 11 12 13 15 17 20 20 18 15 15 14 14 13 11 10 9 7 4 4 6 8 10 11 14 15 16 15 13 12 13 13 13 11 8 5 4 4 6 8 10 11 11 11 10 10 10 11 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 nan
nan 7 7 8 10 12 12 12 10 7 6 7 8 10 11 13 14 14 13 11 8 6 4 4 5 7 9 10 12 13 15 15 14 12 10 9 9 10 12 12 12 12 11 10 10 11 11 11 11 9 7 6 6 7 9 9 8 6 6 6 7 8 9 9 8 8 9 9 8 8 9 8 7 7 6 4 3 3 4 5 7 7 8 9 11 12 13 14 15 16 17 18 17 15 14 12 13 14 15 14 14 17 20 20 17 13 9 7 7 8 9 6 4 2 2 4 8 14 17 15 12 10 10 10 12 15 18 20 19 17 16 15 14 14 13 11 9 7 6 7 11 16 18 17 14 12 12 12 11 11 12 12 11 9 7 5 4 5 6 8 9 10 9 9 9 10 10 11 11 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 11 11 11 nan
nan 4 4 7 10 13 14 12 10 7 6 7 9 11 12 13 14 14 13 12 10 8 6 7 8 10 11 13 14 17 18 18 16 14 12 12 12 13 13 12 11 10 9 9 10 11 11 10 9 9 7 6 6 7 8 8 7 7 7 7 7 8 8 8 8 9 10 10 9 9 9 9 7 7 6 5 4 4 5 7 10 11 12 12 12 12 11 11 12 13 14 14 13 11 10 10 11 14 18 19 17 16 17 16 13 8 5 4 7 11 14 15 14 13 12 13 15 19 20 18 13 10 8 8 9 10 13 15 17 16 14 13 13 13 13 10 7 7 9 12 15 18 20 19 15 10 8 9 9 10 10 10 8 7 6 5 4 5 6 7 7 8 8 8 8 8 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 nan
nan 2 4 9 13 15 16 14 10 7 6 8 11 12 12 11 11 10 10 10 9 8 8 8 10 12 13 14 16 18 19 19 18 16 15 15 14 14 13 11 9 8 8 9 11 12 11 10 9 9 8 8 7 7 7 8 7 8 8 8 7 7 7 8 9 10 11 11 11 10 10 11 10 9 9 8 7 6 6 8 11 13 13 13 13 12 10 9 9 9 10 10 10 8 7 7 9 13 19 22 20 16 15 13 9 4 0 -0 5 12 15 17 18 18 18 18 18 18 17 14 12 11 10 9 8 8 9 11 13 14 14 14 14 14 13 10 10 13 16 19 18 18 18 18 16 11 8 7 7 7 8 7 6 5 6 6 5 5 5 5 6 7 7 7 7 7 8 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 nan
nan 4 7 12 16 17 16 14 10 7 5 7 10 11 10 9 7 7 7 7 6 7 7 8 10 11 12 13 15 18 19 19 18 17 16 15 14 12 11 10 9 8 9 10 11 11 10 9 8 9 9 8 8 8 8 8 9 9 10 10 9 8 8 9 10 10 11 11 10 10 11 12 13 12 11 10 8 6 6 7 10 12 13 13 12 11 10 9 8 8 7 8 8 7 6 7 8 10 13 16 15 14 13 11 7 2 -1 -2 3 9 12 14 15 16 17 17 16 13 9 7 8 10 11 11 10 9 8 9 10 12 14 14 14 14 13 12 13 16 19 20 18 15 14 15 15 13 10 8 7 7 7 6 6 7 8 8 8 7 6 5 5 5 6 6 6 6 7 7 8 8 8 8 8 9 10 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 nan
nan 8 10 14 16 15 13 11 8 5 4 6 8 9 9 7 6 5 5 4 5 6 7 7 8 10 11 12 14 17 19 19 18 16 14 11 10 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 8 9 10 11 11 12 13 13 12 11 11 12 13 12 11 10 10 10 10 11 13 13 12 10 8 6 5 6 9 12 12 12 12 11 10 9 7 6 6 6 7 7 7 7 7 8 7 7 9 10 10 8 5 2 1 2 5 9 11 11 11 11 12 13 12 9 4 1 4 7 10 10 9 8 8 9 10 11 12 12 12 12 12 12 13 14 15 15 13 11 10 10 11 14 13 12 11 11 10 8 8 11 13 13 12 10 7 5 4 4 5 5 6 6 6 7 7 7 7 7 7 8 9 10 11 11 10 10 10 9 9 10 10 10 10 10 10 10 nan
nan 16 16 16 14 12 9 6 5 4 4 6 7 7 6 6 5 4 3 3 4 5 6 7 7 9 10 11 12 14 16 17 16 14 10 8 7 7 9 10 11 12 12 11 10 8 7 8 8 8 8 9 10 12 13 14 14 14 15 15 15 14 14 15 16 15 14 12 11 10 9 9 11 12 12 10 9 7 6 7 9 11 11 12 12 11 11 9 6 3 3 4 6 7 7 9 10 10 9 10 11 11 9 7 5 5 6 8 10 12 11 10 8 7 8 9 8 5 2 -1 1 4 7 7 7 7 8 9 10 10 11 10 10 10 10 11 11 10 9 9 9 9 8 7 9 13 16 16 14 11 9 9 12 16 17 16 14 12 8 6 4 4 4 5 6 6 6 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 nan
nan 22 21 18 13 9 6 5 4 4 4 5 5 6 6 6 5 4 3 2 3 5 6 7 8 8 9 8 8 10 12 13 13 11 9 8 7 8 10 11 12 13 12 11 10 8 7 7 8 9 10 12 14 15 16 15 15 15 15 15 15 15 14 16 18 19 18 17 15 12 10 9 9 11 11 10 9 8 7 8 10 11 11 11 12 12 11 10 7 3 1 1 3 6 9 12 16 19 19 19 17 13 10 9 9 12 12 12 12 11 10 8 7 6 6 6 4 2 -0 -1 -1 1 3 4 5 7 9 10 10 10 10 10 10 10 10 10 10 10 9 8 9 9 8 7 8 11 14 15 13 10 9 10 15 18 18 16 14 12 8 5 3 2 3 4 5 6 7 7 6 6 6 6 6 7 7 8 8 8 9 9 10 10 10 9 10 10 10 10 10 10 nan
nan 22 21 17 13 10 8 7 7 6 5 4 5 7 9 9 8 6 3 2 3 5 6 7 8 8 8 8 7 7 8 9 9 9 9 9 8 9 11 12 13 13 12 11 10 9 9 9 10 11 14 16 19 20 19 17 16 15 15 15 14 14 13 13 15 18 20 21 19 16 12 10 9 10 10 10 10 9 9 10 11 11 11 12 12 12 12 11 9 7 5 3 5 9 13 18 23 26 25 21 16 13 11 12 14 16 16 13 11 11 10 10 9 8 7 5 2 1 0 0 0 1 1 3 5 8 9 10 10 10 10 10 10 9 10 10 11 11 11 11 10 10 10 9 9 10 11 13 12 12 13 16 19 19 18 16 13 10 6 3 2 2 2 4 5 6 7 7 6 6 6 6 6 6 7 7 7 7 8 8 9 9 10 10 10 10 10 11 10 10 nan
nan 16 15 14 12 11 11 11 11 10 8 7 8 11 13 12 9 6 3 3 4 6 6 7 7 8 9 9 8 8 8 8 7 6 7 8 8 9 11 13 14 13 12 12 12 12 12 11 12 13 15 18 21 22 22 19 16 15 14 14 13 11 9 9 10 13 16 18 18 17 13 10 9 9 10 11 12 12 12 12 11 12 12 12 12 13 13 12 11 10 9 9 11 15 19 23 26 25 21 15 11 11 11 13 15 16 15 12 10 10 11 13 12 9 7 5 5 5 6 6 5 5 4 4 6 7 8 8 9 9 9 9 9 9 9 10 11 11 10 10 10 10 11 11 10 10 10 10 12 14 17 19 21 21 19 16 12 8 4 2 2 2 3 4 5 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 nan
nan 9 10 10 10 10 12 14 15 15 13 13 13 14 15 12 8 5 4 4 6 7 7 7 7 8 9 9 9 10 10 9 7 5 5 6 8 8 10 12 13 13 12 13 14 15 15 13 11 10 11 14 18 21 21 20 17 15 14 13 11 8 6 5 5 5 7 10 12 13 11 8 7 7 9 11 13 14 14 14 14 13 13 13 13 13 13 12 11 10 9 11 15 19 22 26 26 22 16 11 7 8 9 11 12 13 13 11 9 8 9 12 12 9 6 7 10 12 13 13 11 9 6 5 5 5 6 6 7 8 8 8 8 8 9 9 10 9 8 8 9 10 11 11 10 10 9 8 9 11 14 16 17 18 18 15 11 7 5 4 4 4 4 5 5 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 9 10 10 11 11 12 nan
nan 7 8 8 8 8 9 13 16 18 19 18 17 16 14 12 8 6 5 6 8 9 9 7 6 7 8 10 10 11 12 10 8 6 5 6 7 8 9 10 11 11 11 12 14 16 16 13 9 6 5 7 12 16 18 19 18 17 15 13 10 7 5 4 4 3 3 5 6 8 8 6 5 4 6 9 12 15 16 17 18 17 15 13 12 11 12 12 11 9 8 10 15 19 21 24 26 22 16 10 6 5 6 8 10 11 11 10 9 9 9 10 11 9 8 10 13 16 17 16 13 10 7 5 5 5 5 5 6 7 7 7 7 7 8 9 9 9 9 10 11 11 12 11 9 7 6 6 6 7 7 8 10 12 14 12 9 7 7 8 8 7 6 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 10 10 11 10 nan
nan 8 8 9 9 8 8 9 12 15 17 18 17 15 12 9 7 7 7 7 9 10 10 8 7 8 9 11 11 13 13 12 10 7 6 7 8 8 9 10 11 11 10 11 13 15 15 12 8 4 2 3 8 12 14 16 18 19 17 15 11 7 5 5 6 6 6 6 6 6 6 5 3 3 4 6 10 13 15 18 20 20 18 14 10 9 9 10 10 9 9 10 14 17 19 21 23 21 16 11 7 5 5 6 8 10 10 10 9 9 10 11 13 15 15 16 18 19 19 16 13 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 11 12 13 12 11 9 6 4 3 4 6 6 4 3 4 7 10 9 7 7 9 10 10 9 8 7 6 6 7 7 7 7 7 6 6 6 6 7 6 6 6 6 6 6 7 7 9 9 9 9 9 9 nan
nan 8 7 10 11 10 8 7 8 9 10 11 11 9 7 5 4 5 6 8 9 11 11 11 10 10 11 11 13 14 14 13 10 8 6 6 7 8 9 10 11 12 12 12 12 13 14 12 9 4 2 3 6 9 11 14 16 19 19 16 12 8 5 5 7 8 9 8 7 7 6 5 4 4 4 5 6 8 11 14 17 19 18 14 9 7 7 9 10 10 10 11 12 13 15 19 20 19 15 11 9 7 5 6 7 8 9 9 8 9 11 13 16 18 20 22 23 23 22 19 15 12 12 13 13 13 12 11 10 10 10 10 9 8 7 7 7 8 10 12 12 12 10 7 4 2 3 6 10 10 6 2 2 5 8 8 6 7 9 11 11 11 10 9 8 8 9 9 8 8 7 7 6 7 7 8 8 8 8 7 6 5 6 7 8 8 8 8 8 7 nan
nan 7 7 9 11 10 8 6 6 6 5 5 5 4 3 1 2 3 5 8 10 12 13 14 13 11 10 11 12 13 13 12 10 8 6 5 6 7 9 10 11 12 13 13 12 13 13 13 10 6 3 2 4 6 7 9 12 15 17 16 13 9 6 5 6 8 8 8 7 5 5 4 4 5 5 5 5 5 6 9 11 14 15 13 10 7 7 8 10 11 12 12 10 9 11 16 18 18 15 11 9 7 6 6 6 7 8 8 8 9 10 13 15 17 19 21 23 24 24 22 20 18 18 18 18 18 16 15 15 15 15 15 13 12 9 8 7 8 9 11 11 10 8 6 6 6 9 13 16 17 12 6 4 6 9 9 8 9 10 12 13 12 11 11 11 11 11 10 10 9 8 7 7 8 8 8 9 9 9 8 7 5 5 6 6 7 7 7 7 7 nan
nan 8 8 9 8 8 7 6 6 7 6 4 3 3 2 2 3 5 7 10 12 13 15 16 15 11 9 9 10 12 12 12 11 9 7 6 6 7 8 9 10 11 12 11 11 12 13 12 10 6 2 0 1 3 4 6 8 11 14 15 13 10 7 5 5 6 6 6 4 3 3 3 4 5 5 5 5 5 5 5 6 9 11 11 10 8 6 7 9 11 12 11 9 6 8 13 16 17 16 12 8 5 4 5 6 7 8 8 8 8 9 9 10 11 13 15 17 20 21 22 22 21 21 20 19 18 17 16 16 17 19 20 19 17 15 12 9 9 11 12 11 9 8 8 9 12 15 19 21 20 17 11 8 9 11 11 11 12 13 14 14 13 12 12 12 12 12 11 10 9 8 7 8 8 8 8 8 9 9 8 7 6 5 5 5 5 5 6 8 8 nan
nan 9 8 8 7 7 8 8 9 10 10 8 6 5 5 6 7 9 11 12 13 13 14 15 14 11 7 7 9 11 12 12 11 10 8 7 7 8 8 9 10 9 9 9 10 11 12 12 10 6 2 -0 -0 1 3 4 7 9 12 13 13 11 8 6 4 4 4 4 3 2 2 2 3 4 5 6 7 6 6 5 4 5 7 8 10 8 6 6 7 10 11 12 10 7 6 10 14 17 16 12 7 3 2 4 7 9 10 10 9 8 6 4 4 5 7 10 11 13 15 17 19 19 18 16 14 12 11 11 13 15 18 21 23 23 22 19 16 14 14 14 14 12 10 10 12 15 18 21 21 20 17 13 11 11 12 12 13 14 16 16 16 13 12 11 11 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 5 6 7 9 9 nan
nan 8 8 8 9 9 10 10 11 12 13 12 10 9 9 10 11 12 13 14 14 13 12 12 12 10 7 7 9 11 11 11 11 10 9 8 8 8 9 9 9 8 7 7 8 11 12 12 10 7 4 2 1 2 3 5 7 9 11 12 11 10 8 6 4 3 2 2 1 1 1 1 1 2 4 5 7 7 6 5 4 3 4 5 6 6 6 6 8 9 11 12 11 8 7 9 13 16 17 14 7 2 1 4 8 11 12 12 10 7 3 -0 -1 0 3 6 9 10 11 13 14 14 12 10 7 5 5 7 9 12 15 19 23 25 26 25 22 19 18 17 16 14 13 13 15 16 18 20 19 18 15 12 12 12 11 11 12 14 17 17 16 13 11 10 10 10 9 8 7 7 7 7 7 8 7 7 7 7 8 8 8 7 7 7 6 6 7 8 9 10 nan
nan 7 7 8 9 10 11 12 13 13 14 13 13 12 11 12 13 13 15 16 14 12 10 10 10 9 7 8 10 12 12 12 11 10 8 8 7 7 7 8 8 7 5 5 7 10 12 12 11 8 6 5 4 4 5 6 8 9 10 10 9 8 7 5 3 2 2 1 1 1 1 1 0 1 3 4 6 6 6 5 3 2 3 3 3 4 5 7 9 11 11 11 11 10 9 10 12 15 17 15 9 3 3 5 9 12 14 13 10 6 1 -3 -4 -2 -0 3 6 8 10 11 12 11 8 5 3 2 3 6 9 11 13 15 18 22 25 26 23 20 18 17 16 15 15 15 16 16 17 17 16 15 14 13 12 10 9 9 10 13 16 16 14 11 10 10 10 10 9 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 7 7 6 6 7 8 9 10 nan
nan 5 6 7 8 10 11 12 13 13 13 12 12 12 12 12 13 14 16 16 14 10 7 7 8 9 7 8 11 13 13 12 10 9 8 7 7 6 6 6 6 6 4 3 5 8 11 12 11 9 8 7 7 6 6 7 8 9 10 9 7 6 4 3 2 2 2 2 2 2 2 1 1 1 2 3 4 5 5 4 3 3 3 3 3 4 6 9 11 11 12 11 11 11 10 11 12 14 16 14 10 5 6 8 12 14 15 13 9 5 0 -3 -3 -1 1 4 5 7 9 11 12 11 8 4 1 1 3 7 9 11 12 13 14 17 20 21 21 19 17 15 14 14 15 15 15 15 14 14 13 13 13 12 10 7 6 6 7 10 13 13 11 10 9 10 10 11 11 10 10 10 9 9 8 7 7 7 6 6 6 6 7 7 7 6 6 7 8 9 9 10 nan
nan 5 6 8 8 8 9 10 11 11 10 10 11 11 12 12 13 14 15 15 12 8 5 4 5 6 5 7 11 14 15 13 11 9 8 7 7 6 6 6 6 5 4 4 5 7 9 11 11 11 10 9 9 8 8 8 8 8 9 8 6 4 3 2 2 2 3 3 3 3 3 3 2 2 3 4 5 5 4 4 3 3 4 4 5 7 9 11 12 11 11 10 11 11 11 11 11 12 13 12 10 8 8 11 14 16 16 14 10 5 0 -2 -1 2 5 7 8 9 10 12 13 12 9 4 -1 -2 1 5 8 9 10 11 12 13 15 16 17 17 17 15 14 14 15 15 15 14 13 12 12 12 12 10 7 4 3 4 6 8 10 10 10 9 9 10 11 12 12 12 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 7 8 9 10 10 nan
nan 9 10 10 9 8 7 8 8 8 7 8 10 11 12 13 14 14 14 13 11 8 5 4 3 2 2 5 10 13 15 14 12 11 10 8 7 6 6 5 6 6 6 6 7 8 9 11 12 13 12 11 11 10 10 9 8 8 7 6 5 4 3 3 3 3 3 3 3 3 4 4 4 4 5 6 7 7 7 7 6 5 5 5 7 10 12 13 12 10 9 9 9 10 11 11 11 11 11 11 10 9 10 11 13 14 15 15 12 6 2 0 1 4 7 8 9 11 12 14 14 13 10 3 -4 -6 -3 1 4 7 9 10 12 12 12 13 14 16 17 17 17 18 18 18 17 16 14 13 11 10 8 7 5 4 5 7 8 9 9 9 9 9 9 10 10 11 11 10 10 9 9 8 8 8 8 9 9 9 10 10 9 9 8 7 7 8 9 10 10 10 nan
nan 13 13 13 11 9 7 6 7 8 8 9 10 11 13 14 15 15 14 13 11 10 9 7 4 1 -0 3 9 12 14 14 13 12 11 9 6 5 5 5 7 9 9 10 10 10 11 13 14 15 14 12 11 11 10 9 8 7 6 5 5 5 5 5 5 4 4 3 3 3 4 5 5 6 7 9 10 11 11 10 9 8 8 8 11 14 15 14 12 9 8 7 8 9 10 12 12 13 12 12 12 12 12 12 11 12 13 14 12 7 3 2 3 5 8 9 10 12 14 15 16 15 11 3 -5 -8 -5 -2 2 4 7 10 13 13 13 13 13 14 16 18 19 21 21 21 20 18 16 13 10 7 6 6 7 9 11 12 12 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 11 10 10 9 10 10 11 11 11 nan
nan 13 14 15 14 11 9 8 9 11 11 11 11 12 14 15 16 16 15 14 13 13 14 13 10 6 3 5 9 12 13 13 13 13 12 10 7 4 3 5 8 12 13 13 12 12 13 14 16 16 15 13 11 10 9 8 7 6 6 6 6 7 7 7 6 6 5 5 4 4 5 6 7 9 10 12 13 13 13 12 11 11 12 13 16 18 18 15 11 8 7 7 8 9 10 12 13 14 14 15 15 15 13 12 11 10 12 12 11 7 4 3 4 6 9 11 12 14 15 16 18 17 12 4 -4 -6 -4 -1 2 5 8 12 14 15 13 12 11 11 13 15 18 20 21 22 22 20 17 14 10 8 8 10 13 15 16 14 12 9 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 10 11 11 12 12 12 12 12 12 11 11 12 12 12 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
8 5 3 2 2 3 3 3 2 2 3 4 4 4 5 5 4 4 3 2 3 4 3 4 5 5 4 4 4 4 5 6 6 6 6 6 6 4 2 2 2 2 2 3 4 4 5 6 8 10 12 13 13 13 13 13 13 15 15 14 15 14 13 15 18 17 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 6 88 288 348 260 218 263 335 361 324 486 920 1364 1627 1767 1940 2192 2458 2729 3001 3161 3175 3098 3014 2968 2942 2892 2822 2853 2963 3046 3068 3063 3062 3057 3009 2906 2776
6 5 3 3 3 3 2 2 1 1 2 3 4 4 4 4 3 3 2 2 2 4 5 5 4 3 3 3 3 3 4 5 6 5 5 4 4 2 1 1 1 1 2 2 3 4 5 7 8 10 12 13 13 13 13 13 13 14 15 14 15 14 14 16 17 15 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 31 243 355 325 298 343 398 401 413 775 1476 2087 2390 2540 2704 2884 3043 3182 3327 3370 3354 3277 3210 3182 3156 3102 3059 3069 3103 3107 3083 3060 3047 3023 2960 2853 2719
5 4 3 2 2 2 1 1 1 2 2 3 3 2 2 3 3 2 1 1 2 3 4 4 3 2 2 2 2 2 2 2 3 3 2 2 1 1 0 0 1 0 2 2 3 4 5 7 9 10 12 13 13 13 13 13 13 14 15 15 15 14 14 16 17 12 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 51 23 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 9 189 421 488 441 415 415 391 442 980 1928 2631 2892 2998 3091 3162 3270 3398 3474 3401 3378 3342 3314 3301 3273 3215 3161 3146 3149 3131 3097 3066 3041 3001 2927 2813 2674
5 3 3 2 1 1 1 1 1 2 1 2 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1 2 2 2 1 1 1 2 1 1 0 0 0 0 0 1 1 3 2 5 6 7 8 10 10 12 13 13 13 12 13 15 16 15 14 15 15 16 16 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 30 122 213 101 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 96 439 610 550 448 397 359 463 1109 2210 2902 3072 3114 3132 3155 3271 3456 3634 3525 3426 3387 3379 3380 3365 3319 3258 3207 3176 3153 3123 3083 3036 2980 2897 2780 2636
5 4 3 2 1 1 1 1 1 2 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 3 4 6 7 8 9 10 11 12 13 13 12 12 14 15 15 14 14 15 16 15 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 110 298 342 150 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 38 395 651 597 431 315 272 435 1144 2246 2901 2990 2980 2976 3012 3128 3312 3494 3556 3520 3496 3475 3460 3449 3423 3368 3291 3218 3179 3145 3097 3029 2951 2857 2735 2587
4 4 3 2 1 1 1 1 1 2 2 2 2 2 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 6 7 9 10 12 12 13 13 13 12 15 15 14 14 14 15 15 13 8 3 1 0 0 0 0 0 0 0 0 0 1 6 6 0 0 0 0 0 0 213 412 341 125 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 309 618 579 340 179 200 496 1283 2280 2745 2778 2810 2842 2902 3008 3143 3280 3415 3507 3550 3532 3500 3487 3479 3441 3363 3264 3179 3125 3079 3011 2912 2796 2667 2521
4 4 4 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 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 1 3 3 4 5 6 8 10 12 12 13 13 13 13 15 16 15 14 14 15 14 9 4 1 0 0 0 0 0 0 0 0 0 1 13 57 47 7 0 0 0 0 0 242 405 312 111 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 1 16 173 507 640 342 129 205 638 1456 2232 2627 2691 2766 2775 2779 2814 2874 2974 3151 3349 3458 3462 3441 3438 3453 3451 3401 3306 3189 3103 3044 2979 2870 2740 2603 2466
4 4 4 3 2 2 2 2 2 2 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 5 6 8 10 11 12 13 13 13 14 15 15 14 14 14 14 12 7 2 0 0 0 0 0 0 0 0 0 0 5 42 180 146 45 3 0 0 0 0 166 318 261 100 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 7 61 268 531 348 172 315 866 1643 2242 2635 2837 2943 2935 2844 2772 2764 2825 2972 3189 3366 3420 3406 3365 3364 3390 3391 3336 3228 3118 3012 2923 2814 2687 2554 2426
4 4 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 4 5 7 9 10 11 12 13 13 13 14 15 15 15 16 15 13 9 5 1 0 0 0 0 0 0 0 0 0 2 17 85 316 240 90 12 1 0 0 7 129 293 248 95 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 72 232 350 270 461 1037 1728 2265 2686 2975 3066 3020 2877 2733 2665 2688 2795 2985 3218 3426 3498 3402 3300 3279 3313 3329 3278 3169 3012 2866 2741 2625 2509 2396
4 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 4 5 7 9 10 11 12 13 13 13 13 14 14 14 16 13 9 6 2 0 0 0 0 0 0 0 0 0 11 60 160 296 491 265 86 16 1 0 1 38 193 315 205 52 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 60 462 496 618 1078 1686 2198 2589 2902 2996 2932 2756 2563 2516 2549 2594 2681 2847 3205 3579 3603 3401 3242 3210 3245 3259 3193 3032 2831 2670 2554 2458 2367
4 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 4 4 6 9 10 11 12 13 13 13 12 12 12 14 14 9 5 3 1 0 0 0 0 0 0 0 0 0 46 238 471 636 684 337 100 22 2 2 34 133 273 287 131 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 2 34 439 712 748 1010 1473 1929 2302 2636 2824 2826 2694 2470 2305 2173 2098 2059 2061 2492 3227 3647 3569 3347 3185 3127 3123 3096 2980 2786 2615 2504 2422 2346
4 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 2 3 4 7 9 10 12 12 13 13 13 12 11 12 13 12 8 4 1 0 0 0 0 0 0 0 0 0 0 16 105 198 492 763 553 239 92 64 81 168 279 315 208 51 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 173 633 772 898 1167 1524 1881 2203 2446 2543 2438 2104 1949 1735 1487 1250 1119 1471 2339 3120 3423 3387 3201 3023 2930 2903 2854 2730 2589 2485 2401 2327
5 5 4 3 2 2 2 1 1 1 1 1 1 1 1 2 3 2 2 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 3 3 3 4 5 8 9 11 12 13 13 13 12 11 12 13 12 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 10 15 184 580 756 545 335 288 298 351 355 261 109 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 3 34 243 588 767 899 1125 1431 1718 1914 1984 1884 1679 1490 1301 964 592 408 636 1393 2269 2973 3261 3177 2952 2783 2730 2726 2671 2569 2474 2390 2317
6 6 6 5 4 3 3 2 1 2 1 2 2 3 3 2 3 2 2 2 1 1 1 0 1 1 1 2 1 0 0 0 0 0 1 1 1 2 2 2 1 3 2 4 3 5 6 6 8 10 11 12 13 12 11 11 12 13 14 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 62 398 690 704 598 507 454 385 253 121 34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 29 231 489 671 827 1068 1323 1474 1504 1379 1306 1152 957 585 249 111 274 895 1794 2690 3152 3143 2920 2722 2643 2636 2605 2532 2457 2385 2316
7 7 7 8 7 5 4 3 2 2 2 2 2 3 2 2 2 2 2 2 1 1 1 1 1 1 1 2 0 0 0 0 0 1 1 1 1 2 2 1 2 3 2 4 4 5 6 7 9 10 11 12 13 12 11 11 13 14 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 3 19 52 33 149 354 490 583 619 542 381 190 70 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 180 420 620 845 1021 1100 1127 1085 1066 1014 783 410 140 62 262 874 1805 2703 3137 3111 2887 2689 2602 2580 2544 2492 2437 2379 2313
8 8 8 8 9 8 7 6 6 5 4 3 3 3 3 3 3 2 2 2 2 2 2 1 1 2 1 2 1 0 0 1 1 1 1 2 2 3 3 2 2 3 2 4 4 5 6 7 9 10 11 12 13 13 12 12 15 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 12 81 185 218 344 323 392 445 445 339 165 46 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 36 157 374 568 643 642 697 858 946 925 690 358 134 117 403 1058 1968 2789 3153 3075 2859 2666 2570 2536 2495 2458 2416 2367 2310
9 9 9 9 9 10 9 9 9 10 8 6 5 4 3 2 2 2 2 2 2 2 2 1 1 2 2 2 1 1 1 1 1 2 2 2 2 3 3 3 4 3 3 5 5 6 7 8 10 11 11 12 13 14 12 13 15 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 21 161 329 408 418 218 297 227 146 78 32 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 1 22 118 191 201 223 393 696 879 878 661 372 185 230 583 1236 2053 2771 3142 3021 2831 2665 2566 2512 2468 2434 2401 2365 2320
10 10 10 11 11 11 11 11 11 11 10 8 6 5 5 4 3 2 2 3 3 3 2 2 2 2 2 1 1 2 2 2 1 2 2 2 3 3 3 4 4 3 5 6 7 7 8 9 10 11 12 13 13 13 13 15 15 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 32 281 296 185 150 108 181 89 22 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 5 16 94 326 640 823 807 633 405 276 367 736 1339 2049 2683 3054 2948 2778 2644 2560 2496 2445 2414 2394 2369 2333
11 11 11 12 13 12 12 12 12 11 12 11 8 6 4 3 3 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 7 8 8 8 8 9 11 11 12 13 15 14 14 15 15 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 21 223 123 30 10 20 52 26 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 8 40 173 418 675 811 784 645 477 397 506 848 1387 2011 2555 2855 2835 2701 2596 2529 2466 2412 2384 2377 2370 2354
11 12 12 12 12 13 13 12 12 12 13 12 9 7 5 4 3 3 3 3 4 3 3 2 2 2 3 3 3 3 4 4 3 3 3 4 4 4 5 5 6 7 8 8 8 9 9 11 12 12 12 13 14 15 15 14 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 15 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 2 39 142 320 535 715 800 776 675 550 493 595 894 1374 1922 2375 2607 2619 2548 2483 2434 2371 2307 2261 2232 2216 2290
13 13 13 13 13 13 12 11 12 13 14 12 10 8 6 4 4 4 3 3 4 3 3 3 3 3 4 5 5 6 6 6 6 5 5 5 5 5 7 8 8 8 8 8 7 9 10 11 12 13 13 14 15 15 15 13 8 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 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 7 63 243 439 598 708 752 726 655 563 536 645 940 1410 1915 2288 2446 2429 2381 2334 2293 2232 2152 2078 2026 2003 2059
13 14 14 14 13 12 11 11 13 14 14 13 11 9 7 5 5 5 5 4 3 3 3 3 4 5 6 7 8 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 10 11 13 13 14 14 15 15 14 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 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 7 52 246 461 577 662 699 687 644 570 534 664 1005 1507 1981 2278 2374 2359 2323 2279 2211 2101 1961 1831 1774 1792 1785
13 13 14 15 14 13 12 12 13 14 14 14 11 8 7 6 6 6 6 5 4 4 5 6 7 9 10 10 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 12 13 14 15 15 15 13 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 0 0 0 2 34 199 440 521 604 633 609 560 497 495 664 1074 1602 2034 2269 2340 2330 2278 2171 2032 1859 1665 1455 1306 1270 1348
14 14 15 15 14 14 14 15 15 14 13 12 10 8 6 5 6 7 8 8 7 7 8 9 10 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 10 11 11 12 13 14 15 15 15 13 6 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 27 152 390 419 508 541 524 491 462 501 709 1171 1674 2048 2243 2291 2249 2137 1947 1747 1554 1327 1036 781 634 603
15 15 15 15 14 15 15 15 14 12 11 10 8 8 7 8 9 10 11 11 12 12 11 12 12 12 12 12 11 9 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 9 10 11 13 13 14 15 16 17 13 6 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 20 110 309 292 357 389 371 341 356 469 746 1221 1695 2026 2191 2217 2137 1962 1702 1454 1250 991 699 467 340 315
16 16 16 16 15 15 15 14 13 11 9 8 7 9 8 9 11 12 12 13 13 13 12 13 13 13 12 12 11 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 11 13 14 15 15 15 17 17 12 6 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 10 64 194 218 244 256 248 254 312 467 772 1221 1677 1990 2129 2139 2039 1825 1523 1245 1009 740 502 335 249 222
17 17 17 16 16 16 16 14 13 11 9 8 8 9 8 10 12 12 13 13 13 13 13 13 13 12 12 12 11 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 10 12 13 14 16 17 18 18 14 10 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 36 113 152 151 181 185 205 283 460 766 1188 1625 1930 2071 2080 1974 1755 1451 1149 868 612 416 284 210 176
17 17 17 17 17 17 16 14 13 11 9 8 10 10 11 12 13 13 13 13 13 13 13 13 13 12 12 12 10 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 12 13 15 17 19 20 18 12 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 24 74 119 132 149 164 194 275 447 733 1119 1534 1848 2014 2042 1956 1765 1481 1150 831 578 394 273 204 163
17 18 18 18 18 17 16 15 13 11 9 9 11 12 13 13 13 14 14 14 13 13 13 13 13 12 12 11 10 9 10 10 10 8 8 8 8 8 8 8 8 8 8 9 10 11 13 13 15 17 19 19 16 10 7 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 3 18 52 99 125 149 174 205 276 429 685 1033 1419 1750 1935 2000 1967 1831 1589 1263 925 642 433 294 212 162
18 18 18 18 18 17 17 16 14 13 12 13 14 14 14 14 15 15 15 14 14 13 13 13 13 13 12 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 11 13 14 15 16 17 19 19 15 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 40 86 126 154 178 208 275 412 638 946 1300 1637 1842 1952 1977 1911 1736 1458 1126 805 550 369 247 163
18 18 18 18 17 18 17 17 17 17 16 15 15 15 15 15 15 16 15 15 14 13 13 13 13 12 11 10 11 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 12 13 14 16 18 19 21 19 14 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 32 72 114 147 173 201 264 388 587 860 1184 1499 1733 1893 1979 1983 1884 1674 1373 1037 734 505 331 198
18 17 18 18 18 18 17 18 17 16 16 15 15 15 15 15 15 16 16 15 14 13 13 13 13 12 11 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 9 11 13 13 15 17 18 19 19 17 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 29 61 102 143 170 196 248 350 525 774 1067 1358 1615 1813 1954 2024 1997 1856 1608 1290 961 692 477 298
18 18 18 19 18 18 17 18 18 16 16 15 14 14 14 15 16 15 16 15 15 13 12 12 12 11 10 9 10 9 9 9 8 8 8 7 6 7 7 7 7 8 10 12 12 13 17 19 18 15 12 11 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 33 57 92 137 168 188 227 308 455 674 944 1225 1494 1729 1911 2029 2063 1992 1808 1531 1208 920 677 471
19 19 19 19 18 18 17 17 17 16 16 16 15 15 15 15 15 15 15 14 13 13 12 12 12 10 9 10 9 8 9 9 8 7 7 7 7 6 6 7 8 9 10 11 11 13 17 18 14 9 6 5 5 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 0 0 20 55 66 84 125 158 179 209 270 385 570 816 1095 1375 1631 1840 1994 2078 2071 1952 1722 1428 1145 884 663
18 19 18 18 17 17 17 16 16 16 16 16 16 16 15 15 14 14 14 13 13 12 12 12 11 10 10 10 9 8 8 7 7 7 7 7 6 6 6 6 7 9 10 10 11 14 15 12 8 4 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 27 88 82 78 110 147 171 196 243 333 483 698 963 1245 1511 1739 1913 2025 2064 1997 1816 1565 1303 1044 819
17 18 17 17 16 16 16 17 16 15 14 15 15 14 14 13 13 12 13 13 13 12 11 11 11 10 9 8 8 7 7 6 6 6 5 5 5 5 6 6 7 8 10 8 8 10 10 7 3 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 96 107 87 94 129 161 181 218 292 419 607 848 1119 1381 1601 1778 1896 1953 1921 1789 1583 1346 1106 903
17 17 16 15 15 14 15 15 15 13 13 12 12 12 13 12 11 11 12 12 12 11 11 11 11 10 8 7 5 6 5 5 5 5 4 4 4 4 4 4 6 7 9 5 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 46 139 131 100 108 140 165 191 246 347 504 717 966 1223 1450 1592 1695 1751 1736 1641 1481 1283 1084 918
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