Vorticity
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nan 18 18 18 18 19 20 21 21 21 20 19 18 16 15 15 14 13 11 8 6 6 7 8 9 10 9 8 6 5 5 6 5 4 3 4 6 9 11 9 8 7 7 7 7 7 7 9 13 16 19 21 21 19 17 16 16 19 22 23 22 21 20 18 15 12 9 9 12 17 19 16 11 7 5 5 6 5 5 5 7 9 10 11 11 11 13 15 14 12 9 7 5 5 4 2 2 4 8 10 10 8 4 1 2 7 12 16 19 20 20 17 14 12 14 17 17 15 13 10 8 6 7 8 10 10 9 10 12 11 7 3 2 6 13 18 21 19 17 15 14 14 13 12 9 6 4 4 6 10 12 12 10 7 5 6 9 13 16 17 17 17 19 21 22 21 18 15 14 13 13 13 15 17 18 16 12 8 5 5 6 6 6 6 7 7 7 7 7 7 nan
nan 13 15 16 18 20 21 21 19 16 15 14 14 14 14 14 13 12 11 9 7 7 7 8 8 8 8 6 4 3 3 3 3 4 7 10 12 13 12 9 7 6 7 7 8 9 9 11 12 12 11 11 13 15 16 15 15 18 23 26 26 25 23 21 17 13 10 9 10 12 15 16 13 11 9 7 7 6 5 6 7 8 9 10 11 12 13 14 14 13 11 9 7 5 4 3 3 4 7 8 8 7 5 5 6 9 12 14 16 20 24 24 22 18 15 15 15 14 13 12 10 9 8 6 5 5 10 17 19 16 8 -1 -7 -6 1 9 14 17 18 17 15 14 12 11 10 8 7 7 8 11 14 15 13 11 8 8 8 10 12 12 11 10 12 16 18 19 18 17 15 14 13 14 16 18 16 12 8 5 4 5 6 6 6 6 7 7 7 7 8 8 nan
nan 12 14 16 19 20 19 17 14 11 11 11 11 12 11 11 11 10 9 9 8 7 7 7 7 7 6 5 5 5 4 3 3 5 9 13 15 13 11 8 6 6 6 7 8 10 10 11 11 10 8 6 6 9 12 12 13 15 18 21 24 26 26 24 20 15 11 9 10 11 13 14 13 13 13 12 10 8 8 9 10 10 9 9 10 12 14 14 14 14 13 12 9 7 6 5 4 4 5 6 7 6 6 8 10 12 13 12 13 18 24 29 28 24 18 13 11 9 8 8 9 10 9 7 3 3 8 15 19 15 9 2 -4 -6 -3 1 5 9 11 13 12 11 9 8 7 8 9 10 11 13 15 15 15 13 11 10 10 10 9 8 6 6 8 13 16 17 17 17 15 15 15 16 17 15 12 8 5 4 5 5 6 6 7 6 7 7 7 8 9 9 nan
nan 11 15 19 21 20 15 11 9 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 7 7 8 8 7 6 7 10 13 14 13 9 7 5 5 6 7 8 9 10 11 11 10 8 6 5 6 7 9 10 12 12 12 15 19 23 24 22 18 13 10 11 12 13 12 12 12 14 14 12 11 11 13 15 14 13 11 11 13 15 16 15 14 14 13 12 9 7 4 3 2 2 4 5 5 5 7 10 14 15 13 13 15 20 27 29 26 20 15 11 7 4 3 4 6 7 6 4 4 7 11 13 11 9 7 6 4 4 4 4 5 6 7 7 6 5 4 5 7 10 11 11 11 11 12 14 15 15 15 13 10 7 5 5 6 9 13 16 16 16 17 17 18 19 18 16 11 8 6 5 6 6 7 8 8 8 7 7 8 8 9 9 9 nan
nan 12 17 21 21 18 12 8 6 7 8 9 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 8 9 9 8 6 5 7 10 13 14 12 9 6 5 5 6 7 8 8 10 11 10 9 7 6 5 5 4 6 8 9 8 7 8 12 17 20 21 21 18 16 14 14 12 11 9 10 12 14 14 15 16 17 19 19 16 13 12 14 17 19 18 16 15 15 14 11 8 4 2 1 2 3 4 5 5 6 9 14 15 14 13 13 15 19 22 21 19 16 13 9 5 2 1 1 3 4 5 7 9 10 10 9 9 10 11 11 11 11 10 9 8 7 7 6 5 5 6 7 9 9 8 7 7 9 14 17 18 16 13 8 5 4 5 8 12 15 17 17 18 19 22 25 25 21 15 10 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 9 nan
nan 13 19 22 20 15 10 6 6 7 9 9 9 7 6 6 6 8 9 9 9 8 7 7 7 6 6 6 6 4 2 1 3 6 11 14 15 12 8 6 5 6 7 7 7 8 10 10 9 7 6 6 6 5 4 4 5 5 5 6 8 10 13 15 18 21 23 22 19 16 13 10 8 8 9 13 16 18 19 19 20 19 17 14 14 17 22 24 23 20 17 16 15 13 9 6 5 5 5 6 6 6 6 7 9 12 12 11 10 10 11 13 14 15 14 14 13 11 8 6 5 3 2 1 3 6 8 10 10 9 7 8 8 9 11 12 13 13 12 11 11 10 8 7 7 7 7 7 6 5 5 7 13 17 16 14 9 5 4 6 9 13 16 18 19 20 22 24 28 30 28 22 15 10 9 9 10 10 9 9 9 8 8 8 8 7 7 7 8 8 nan
nan 13 18 21 18 13 9 6 6 7 8 9 8 7 6 6 7 8 9 9 8 7 6 6 5 5 4 3 1 -1 -2 -0 3 7 11 13 13 12 8 6 6 6 7 7 7 8 9 8 6 5 5 6 6 5 5 6 5 4 4 6 7 9 9 10 14 19 23 25 24 21 17 13 10 7 8 12 16 17 17 16 15 14 13 12 12 17 25 29 29 26 21 17 16 13 10 9 9 9 10 10 9 8 8 8 8 8 7 6 5 6 9 12 14 13 12 11 10 10 10 11 12 11 7 3 1 2 5 8 9 8 6 5 5 5 7 10 12 12 12 12 12 10 8 8 8 8 7 6 6 5 5 7 10 12 12 10 8 7 7 10 15 18 20 21 22 23 25 27 29 29 24 18 12 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 nan
nan 12 17 18 15 11 8 6 6 7 7 7 6 6 6 7 8 9 8 7 6 5 4 4 3 3 3 1 -0 -1 1 4 6 8 10 10 11 11 10 8 7 6 7 7 7 7 7 6 5 5 5 5 5 6 7 7 5 4 5 6 7 6 6 6 10 15 20 24 25 24 22 18 14 11 10 12 15 15 13 9 7 7 7 7 9 15 23 30 31 29 24 19 16 14 13 12 11 12 12 12 11 10 8 6 5 3 1 -0 -0 3 8 13 17 17 15 12 10 10 10 13 17 18 17 12 6 3 4 5 7 7 6 5 4 4 4 5 7 9 10 10 9 8 7 9 10 9 8 7 7 7 7 7 8 8 7 7 7 8 11 15 19 21 22 22 22 23 25 26 27 24 18 12 9 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 12 16 17 14 10 7 7 7 7 7 6 5 4 5 7 8 8 7 6 5 4 5 5 5 4 4 3 2 4 6 8 9 8 8 8 10 11 11 9 7 6 6 7 8 8 7 6 5 5 5 5 5 6 7 6 5 5 6 6 6 5 4 4 7 11 16 20 23 25 25 23 21 18 17 16 15 13 9 6 3 1 2 3 7 12 19 26 29 27 22 17 15 14 13 12 12 12 12 12 12 10 7 4 1 -1 -2 -2 -1 3 7 12 17 19 17 14 12 11 12 14 18 21 23 21 17 12 9 8 8 9 8 6 4 3 1 -0 0 3 5 7 7 7 8 9 9 9 8 7 7 8 9 9 8 7 5 5 5 6 9 15 20 21 20 19 19 21 22 23 22 18 13 9 7 6 6 5 6 6 6 7 7 6 6 6 6 6 6 6 5 5 nan
nan 15 18 19 14 10 8 7 7 7 6 5 3 3 4 6 7 8 7 6 5 5 6 7 8 9 8 7 8 8 9 9 7 6 6 8 10 12 11 9 7 6 6 7 9 10 10 9 7 6 6 5 6 6 6 6 5 5 6 7 6 5 4 4 6 8 12 16 19 22 24 25 26 26 25 22 17 13 10 7 4 2 1 3 6 11 16 20 23 21 18 14 12 12 12 12 11 11 11 12 12 11 9 6 3 2 1 2 3 6 8 10 12 13 12 11 11 12 13 15 17 19 21 22 21 18 16 14 14 13 11 8 5 3 1 -1 -3 -3 -0 4 7 10 10 10 9 8 7 7 8 10 11 11 10 8 4 4 4 4 7 13 17 17 17 16 16 17 19 19 17 14 10 8 6 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 nan
nan 18 22 21 16 11 8 7 7 6 5 3 3 4 5 7 8 8 7 6 6 6 7 8 10 11 11 10 9 8 7 6 5 5 7 9 10 11 10 8 7 6 7 8 11 13 13 12 9 8 7 7 7 8 7 7 6 7 7 7 6 5 5 7 8 8 8 11 14 17 21 24 26 29 29 25 19 13 11 9 7 5 4 5 8 11 13 15 17 16 15 13 12 12 12 13 13 13 13 13 13 14 14 13 12 10 8 8 8 8 7 7 7 7 6 6 8 10 11 12 13 14 16 17 18 18 18 18 18 17 14 11 8 6 5 3 2 -0 -0 4 9 13 15 13 11 9 8 8 10 12 13 13 11 8 5 4 5 5 7 11 15 15 14 13 13 14 16 16 13 10 7 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 nan
nan 19 22 21 16 11 8 7 6 5 3 2 4 6 8 10 11 10 9 8 6 5 6 7 8 9 9 8 6 5 4 4 5 6 9 10 10 9 8 7 7 8 9 10 12 13 13 12 11 9 9 9 10 10 10 9 9 9 9 8 7 6 7 9 9 8 8 8 9 12 16 20 22 24 24 21 16 11 9 9 8 7 6 8 10 11 12 12 12 13 13 13 13 13 13 14 15 15 14 13 13 14 16 17 16 15 13 11 9 8 5 4 4 4 4 4 5 7 8 9 9 10 12 13 14 15 16 16 16 17 16 14 11 9 8 8 8 6 3 6 12 18 20 18 14 11 10 11 11 11 12 11 10 8 7 6 5 6 8 11 13 13 12 11 12 13 14 12 10 7 5 4 5 5 5 5 5 5 5 6 6 7 6 6 6 6 5 5 5 4 nan
nan 18 21 18 14 10 8 7 6 4 2 2 4 7 10 12 12 12 10 9 7 6 6 7 7 6 5 4 5 5 5 6 7 9 10 10 9 8 7 8 9 10 11 12 13 13 12 12 12 12 12 12 12 12 11 11 11 11 10 9 8 7 8 9 9 9 9 8 7 8 11 14 16 17 16 13 10 7 5 5 5 6 7 9 10 11 12 11 10 10 11 13 13 13 12 12 13 13 13 12 11 10 12 13 13 12 11 9 7 6 4 3 3 3 4 4 5 6 6 6 7 8 9 11 12 13 14 14 13 14 15 14 13 11 9 9 9 7 6 9 15 20 21 19 15 12 11 10 8 7 7 8 8 8 9 7 3 3 5 9 10 10 9 10 10 11 10 9 7 5 5 5 6 6 6 5 5 6 6 7 8 8 7 7 7 7 6 6 6 6 nan
nan 16 17 16 12 10 9 8 6 4 3 3 5 8 10 11 12 11 11 10 10 9 9 9 8 7 6 7 8 8 9 9 10 10 10 10 10 9 9 10 11 12 13 14 13 12 12 12 13 14 14 14 13 13 12 12 12 11 11 10 8 8 8 9 9 10 10 9 8 7 7 9 11 12 10 8 5 4 3 3 4 5 6 8 10 12 12 12 11 11 11 12 12 12 10 9 9 10 11 11 10 7 6 7 8 9 8 6 5 5 5 5 4 4 4 5 5 5 5 4 5 6 7 9 11 13 14 14 12 11 11 12 12 11 10 9 8 8 9 13 17 18 18 16 13 11 10 8 6 4 4 5 6 9 10 7 2 1 2 4 6 6 7 8 8 9 8 7 6 5 5 6 7 7 6 6 6 7 8 8 9 9 8 8 8 8 8 8 8 8 nan
nan 12 14 14 12 10 9 9 7 6 4 4 6 9 10 11 11 10 10 11 12 13 13 12 11 10 10 12 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 12 13 14 14 14 14 13 12 12 11 10 9 8 8 8 9 8 9 9 9 9 7 6 7 9 10 10 8 6 4 3 3 4 5 7 9 11 13 14 14 14 13 13 14 13 11 9 7 5 6 10 13 12 8 5 5 6 8 8 7 6 7 8 8 7 6 5 5 5 5 5 4 4 4 4 6 8 10 12 14 14 12 11 11 11 11 11 9 9 11 14 17 17 16 14 13 12 11 8 6 5 4 3 4 6 10 11 7 3 2 3 3 4 4 5 6 7 7 7 7 6 7 7 7 8 7 7 7 7 8 9 10 10 9 9 9 9 9 9 10 10 11 nan
nan 10 12 15 13 10 9 9 8 7 5 4 5 8 10 11 10 9 9 10 12 14 14 14 13 12 13 16 18 18 17 16 15 14 14 14 14 13 13 13 12 12 11 11 10 10 10 9 9 10 12 13 13 13 12 12 11 11 10 9 9 8 8 8 7 7 8 8 8 7 5 6 8 10 11 11 9 7 5 5 5 7 9 11 12 13 15 16 16 15 14 13 12 11 8 5 3 4 9 14 14 12 8 6 6 7 8 8 8 10 11 11 10 8 6 5 6 7 8 8 6 5 4 4 5 7 9 11 12 13 12 11 11 11 11 10 11 12 14 15 14 12 10 9 10 9 7 6 6 7 7 6 7 11 12 9 6 6 7 7 6 5 5 6 6 6 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 11 13 nan
nan 10 13 16 15 11 8 7 7 6 4 1 2 5 8 9 9 8 7 7 9 12 13 13 13 14 15 18 20 21 20 18 17 16 14 13 13 12 11 11 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 7 7 6 7 7 6 5 5 4 6 8 10 11 11 9 7 6 7 9 11 12 13 13 14 16 16 14 12 10 10 9 7 5 2 2 7 13 16 16 13 10 8 7 7 8 9 10 11 12 11 9 8 8 9 12 15 15 13 10 8 6 6 6 6 7 8 9 10 11 11 11 11 11 10 10 10 9 7 6 4 4 5 7 7 7 9 10 10 8 8 11 12 10 9 9 10 10 8 6 5 6 6 6 6 6 6 6 7 7 8 9 10 11 11 12 11 10 9 9 9 9 9 10 10 11 12 13 nan
nan 15 17 17 15 11 7 5 5 5 3 0 0 2 4 5 6 5 5 5 7 9 10 10 11 12 14 16 18 19 19 17 16 14 13 12 10 9 8 8 9 9 10 10 9 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 8 7 7 7 6 6 5 5 4 5 6 8 10 11 11 9 8 8 10 11 12 12 13 13 14 13 12 9 9 8 8 7 6 4 3 7 13 16 17 16 14 11 8 7 8 9 9 10 10 11 11 12 12 14 16 17 18 16 13 11 10 9 9 8 7 7 7 8 9 10 11 11 11 10 7 5 3 2 1 1 1 4 7 10 10 10 9 8 6 8 11 11 9 7 7 9 10 9 7 5 5 5 5 5 5 5 5 6 7 9 10 12 13 13 13 12 10 10 9 9 9 10 10 10 11 11 11 nan
nan 22 23 19 14 10 6 4 3 2 1 0 -0 0 1 2 3 3 2 3 4 6 7 8 9 10 12 13 14 14 14 13 11 11 10 9 8 7 7 8 10 11 11 11 10 9 9 8 8 7 6 6 5 5 6 7 8 8 8 8 8 8 9 10 10 9 8 7 6 5 5 5 5 5 7 9 11 12 11 9 9 9 10 11 11 12 12 12 11 10 9 9 9 9 8 7 6 8 11 13 14 14 14 14 13 11 10 9 9 9 9 9 10 12 14 15 13 12 12 11 11 10 9 9 11 12 11 11 10 9 9 9 10 11 11 11 10 7 5 3 2 3 3 3 6 9 12 13 11 8 6 6 9 11 9 6 3 2 5 9 10 9 6 5 5 5 5 5 5 5 6 8 10 11 12 13 13 13 12 11 10 10 10 10 9 10 10 10 9 9 nan
nan 27 28 22 15 10 6 3 2 0 0 0 1 2 3 3 2 1 1 1 4 6 6 7 9 11 12 12 10 10 11 11 10 9 8 6 6 7 8 10 12 13 13 12 12 11 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 10 11 13 13 11 9 7 6 5 5 4 5 6 9 11 12 12 10 8 8 9 10 10 11 12 12 11 10 9 9 9 8 8 7 7 9 10 11 11 11 11 12 13 13 12 10 8 7 7 8 10 12 13 12 11 8 6 4 3 2 4 6 9 12 14 14 14 13 13 13 13 13 13 13 12 10 7 6 5 5 6 7 10 13 15 16 13 10 9 10 13 12 8 3 -1 -2 -0 5 7 8 7 7 7 6 5 6 7 7 9 10 11 11 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 nan
nan 24 26 24 18 13 9 6 4 2 1 2 4 5 6 5 4 2 1 2 4 7 7 8 10 12 12 11 9 8 10 11 11 10 7 5 6 7 9 11 13 14 14 12 12 12 12 11 9 8 8 8 9 9 10 9 9 8 8 8 8 9 10 11 13 14 13 12 10 7 6 5 4 5 6 7 9 11 12 10 7 7 8 9 10 11 12 11 10 10 9 8 8 8 7 7 7 7 7 7 8 9 9 10 11 12 12 10 7 5 5 6 7 7 7 8 10 9 7 4 1 -1 -0 3 6 9 11 12 13 13 14 15 16 16 16 16 15 13 11 9 7 6 7 9 12 15 17 17 14 12 12 13 14 13 9 4 -1 -4 -4 -1 1 3 5 8 10 10 10 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 15 19 21 20 17 14 12 10 8 6 7 8 9 9 8 7 6 6 5 6 7 8 8 9 10 11 10 9 8 9 10 11 11 9 7 7 7 9 10 12 13 12 11 10 11 12 11 10 10 9 8 9 10 10 11 10 10 9 9 9 10 10 11 11 12 13 13 12 10 8 7 6 6 6 6 7 8 9 8 7 6 7 8 10 11 11 11 10 9 9 8 7 7 8 8 8 7 7 7 7 8 9 10 11 11 11 10 8 7 5 4 3 2 2 4 8 10 10 6 3 0 0 2 4 6 7 7 8 9 10 11 13 15 17 18 18 17 15 12 10 10 11 13 15 17 18 17 13 9 7 8 10 11 9 5 0 -3 -3 -2 -1 0 2 6 11 15 18 20 19 18 16 14 13 11 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 nan
nan 8 12 15 17 17 16 16 16 15 14 13 13 12 11 11 10 10 9 8 8 9 9 8 7 8 9 9 9 9 9 9 10 10 10 9 8 8 8 9 10 11 10 9 8 9 10 11 12 12 11 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 12 11 11 10 9 8 7 6 6 8 7 6 5 6 7 9 11 11 11 9 8 7 7 7 8 9 10 10 10 10 9 8 8 9 10 11 11 11 11 10 10 9 7 4 2 2 3 6 8 9 7 5 3 3 5 5 5 5 5 5 5 6 6 8 10 13 15 17 18 17 15 16 17 19 20 19 18 17 15 10 2 -1 0 3 6 7 5 2 1 1 2 1 1 2 5 12 19 26 27 24 21 17 14 12 11 10 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 nan
nan 8 10 12 12 12 13 15 17 19 19 18 16 14 13 12 11 12 11 11 10 10 9 7 7 8 9 9 8 9 9 9 9 9 9 10 10 8 8 8 9 10 10 9 8 8 10 12 14 15 15 13 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 14 14 15 15 14 13 10 8 8 8 7 5 4 4 5 7 9 11 11 10 8 6 6 7 8 10 10 11 12 11 10 9 8 8 9 11 12 12 12 12 12 12 11 9 7 6 6 6 7 8 8 7 6 6 7 7 7 6 6 5 5 5 5 5 6 7 8 10 13 15 18 21 23 23 21 18 15 13 11 8 2 -1 -1 1 4 5 4 2 3 4 4 3 3 3 6 11 21 28 28 26 21 17 13 12 10 10 9 9 9 8 8 9 9 10 11 11 10 9 9 8 8 nan
nan 10 10 10 10 9 8 10 12 15 16 16 15 14 12 11 10 10 11 11 10 10 9 8 8 9 9 9 8 9 9 9 9 9 9 10 10 9 8 8 9 11 11 11 10 10 12 14 17 19 20 18 15 13 13 12 12 11 11 11 11 11 12 13 14 15 15 15 15 15 16 17 18 19 18 16 14 13 12 10 7 5 4 4 5 8 10 11 10 8 6 6 7 9 10 10 10 11 10 10 9 8 8 9 10 11 12 13 13 13 13 13 12 11 10 9 8 8 9 9 9 8 8 8 8 8 7 7 6 6 7 7 6 4 3 2 3 6 10 16 21 22 20 17 13 11 11 11 10 8 7 6 6 5 4 4 4 4 4 4 3 3 3 5 9 19 24 25 23 20 16 14 13 12 11 10 9 9 9 8 8 9 10 10 10 9 9 8 8 8 nan
nan 10 9 8 9 8 6 6 7 8 10 11 11 10 9 8 7 7 8 9 10 10 10 10 9 10 10 9 9 9 10 10 10 9 8 9 9 9 9 9 10 12 14 14 13 12 12 14 16 18 18 18 15 15 16 16 16 15 14 12 11 11 12 14 16 17 18 18 17 15 15 16 17 19 21 21 20 19 18 16 13 10 7 5 5 7 8 9 9 8 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 10 11 12 13 14 14 14 14 13 13 12 11 11 10 10 10 10 10 9 8 8 7 7 7 7 8 9 9 8 5 3 1 2 5 10 15 17 16 13 11 11 12 13 14 14 14 12 9 7 6 7 8 7 6 4 3 3 3 4 8 14 18 20 20 18 16 15 14 13 12 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 nan
nan 9 8 8 8 8 7 6 6 6 6 6 6 6 5 5 6 6 7 8 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 8 7 8 9 10 11 14 15 16 14 13 12 12 13 13 12 11 11 12 16 19 21 21 19 15 13 13 14 16 17 18 19 19 16 11 9 9 11 14 17 21 24 25 24 23 20 18 15 13 10 8 6 6 6 6 7 8 9 11 10 9 8 8 8 8 8 7 7 8 9 10 11 12 12 13 13 13 14 14 14 14 13 13 12 11 11 12 11 11 10 10 9 9 9 9 9 10 11 12 11 9 5 3 4 8 12 14 13 11 11 12 14 15 15 15 14 12 9 9 10 13 14 13 10 8 6 5 5 6 8 12 15 17 17 17 16 15 14 13 12 10 9 8 8 7 7 7 7 8 8 9 9 9 9 9 nan
nan 10 9 8 8 8 8 9 9 8 7 6 5 5 5 5 6 6 6 7 8 10 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 8 9 10 12 13 15 14 13 12 11 10 10 10 7 6 7 10 15 21 26 27 25 20 17 17 17 17 16 16 16 14 11 6 3 3 4 7 10 15 21 25 26 26 25 23 22 20 18 13 7 5 4 4 6 9 11 12 12 9 7 7 8 8 8 8 8 10 11 11 12 12 12 12 11 12 12 13 14 15 15 14 14 13 12 13 13 13 13 13 12 11 11 11 12 12 12 13 14 14 12 10 11 13 14 13 11 8 9 11 13 13 13 12 11 9 9 12 14 16 17 16 14 12 10 9 8 9 10 12 14 14 14 14 14 14 13 12 11 10 9 9 8 8 7 7 7 7 7 8 9 9 9 9 nan
nan 11 9 8 9 9 9 10 11 11 10 10 9 9 8 7 7 8 8 9 10 11 12 12 11 12 11 11 10 10 10 10 10 11 10 10 9 9 10 10 10 11 12 12 10 10 10 10 9 9 7 6 8 11 16 23 28 31 29 24 21 19 17 15 13 11 10 9 6 4 2 0 1 2 5 8 14 19 22 23 23 22 21 19 17 14 10 6 5 5 6 9 12 14 13 10 8 7 7 8 8 9 9 11 12 12 12 12 12 11 11 10 11 12 13 14 15 15 14 14 13 13 14 14 15 15 15 14 14 14 14 14 14 14 14 15 16 17 19 20 18 14 10 7 6 8 10 11 11 10 9 8 10 12 13 13 14 14 15 15 14 13 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 8 8 9 9 9 10 nan
nan 10 9 8 9 10 11 12 14 14 15 14 14 12 11 10 10 10 11 12 12 12 12 11 11 11 11 10 9 9 9 10 10 11 12 11 11 10 10 9 9 9 10 10 8 8 8 9 9 8 7 7 8 11 16 22 27 29 27 22 19 16 13 10 7 6 6 6 6 5 4 3 1 1 3 6 8 11 13 15 16 16 14 12 10 9 9 9 8 8 8 9 12 15 14 12 8 6 7 8 9 9 9 10 11 12 11 12 11 11 11 11 10 10 11 12 13 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 16 16 16 16 17 19 21 21 20 18 14 11 9 8 10 11 12 11 10 9 9 9 8 8 9 11 13 15 16 15 13 12 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 8 8 8 8 9 11 13 15 17 17 16 15 14 13 12 12 13 13 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 11 10 11 10 10 9 8 8 9 9 8 7 8 9 9 9 8 7 8 10 14 17 19 19 18 15 12 9 5 3 2 2 3 5 7 8 7 5 3 2 3 5 6 7 7 8 8 9 9 7 5 6 8 11 13 13 12 11 13 15 14 12 9 6 6 7 8 8 8 8 9 9 9 10 10 11 11 12 11 11 11 11 11 13 14 14 14 14 14 14 14 14 13 13 13 13 13 14 15 16 17 18 18 19 20 21 22 22 20 18 16 15 15 17 17 17 15 11 8 6 4 4 6 9 12 15 15 13 11 9 8 8 7 8 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 9 9 9 nan
nan 8 8 7 7 8 10 12 13 15 15 14 14 14 14 13 13 13 13 14 14 14 12 11 10 9 10 11 12 12 11 10 10 9 8 8 9 9 9 8 7 6 7 9 9 8 8 8 9 9 9 8 9 9 10 10 10 9 8 7 5 3 1 -1 -1 -0 2 4 6 8 7 6 4 3 4 5 6 5 5 5 6 7 8 7 6 7 10 13 16 17 16 14 14 14 14 12 9 6 5 7 8 9 8 8 9 9 8 9 10 11 12 13 13 13 13 12 13 14 15 15 15 15 15 14 13 12 11 10 10 10 10 11 13 15 16 17 18 19 20 21 22 23 23 23 22 21 22 23 24 25 21 14 8 4 3 5 8 12 13 12 10 8 7 6 6 6 6 7 8 8 8 7 7 7 7 7 7 8 9 9 10 10 10 10 9 8 8 8 8 8 nan
nan 11 9 7 6 6 7 9 10 10 9 10 12 13 13 13 12 12 12 14 14 13 12 10 9 9 10 12 13 13 12 10 9 8 7 7 8 8 8 6 4 3 5 7 8 8 8 8 9 10 10 10 10 10 8 6 5 3 3 3 2 1 -0 -1 -1 -1 1 3 5 6 7 6 5 4 5 5 5 5 5 5 6 7 8 9 8 9 11 13 15 16 15 14 14 13 13 12 10 8 7 7 8 9 10 10 11 11 11 10 11 11 12 12 13 14 14 14 14 14 15 16 16 16 15 15 13 12 10 8 6 5 6 8 10 11 12 13 14 16 17 17 18 19 20 21 21 21 22 24 27 28 22 15 8 6 8 12 15 17 15 10 7 6 5 5 6 6 6 7 7 8 8 8 8 8 7 7 7 7 8 9 9 10 11 11 11 10 9 9 9 9 nan
nan 13 12 9 8 7 7 8 8 8 8 8 10 12 13 12 12 11 12 13 12 11 10 9 9 10 11 12 13 13 11 9 8 7 8 8 9 9 7 3 -1 -1 2 5 7 8 8 9 10 11 12 12 12 11 9 6 4 3 3 3 2 0 -0 -1 -1 -0 1 3 4 5 6 6 6 5 6 5 5 5 5 6 8 9 9 9 9 10 11 12 12 13 12 12 12 12 11 11 11 10 10 9 10 10 11 12 13 13 14 13 14 12 11 10 11 12 13 14 14 14 14 15 16 16 15 15 13 10 7 3 0 0 3 6 8 9 10 11 12 13 13 13 13 13 14 15 16 17 19 22 25 24 19 13 10 10 14 17 20 19 16 12 9 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 9 10 11 12 12 11 11 11 11 11 nan
nan 13 13 12 11 10 9 9 10 10 10 10 11 13 13 13 12 12 12 12 11 10 10 10 10 11 12 13 12 11 10 9 8 8 9 10 12 12 8 3 -1 -2 2 5 7 8 8 9 11 12 13 13 14 13 11 8 5 5 4 4 2 0 -0 -0 1 2 3 4 5 6 7 7 7 7 6 6 6 6 7 8 10 10 10 9 10 10 11 11 11 10 10 10 10 10 11 11 12 12 11 10 9 10 11 11 12 13 14 15 15 13 10 8 8 9 10 11 12 12 13 14 15 16 16 15 12 7 3 -1 -2 -1 2 5 8 9 9 10 11 11 11 10 9 9 10 11 13 15 17 19 21 19 16 13 12 13 15 17 17 17 16 14 13 11 10 9 8 7 7 7 7 7 7 6 7 7 8 7 8 8 8 8 9 9 10 11 12 13 14 14 14 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
11 12 11 10 10 7 8 7 7 7 7 6 6 6 7 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 10 12 11 11 11 12 12 12 12 13 13 10 8 6 7 8 9 11 11 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 2 11 39 84 113 117 101 102 333 966 1528 1562 1367 1236 979 685 482 344 256 214 205 218 241 258 259 334 656 1314 2137 2846 3274 3426 3396 3401 3421 3444 3454 3440 3411 3355 3237 3030 2753 2459
11 11 10 10 9 8 7 7 8 9 8 7 6 5 6 8 9 9 9 9 9 9 8 8 9 11 10 11 11 11 11 11 11 12 12 12 12 12 11 10 11 10 10 10 10 10 10 10 11 12 12 11 11 11 12 12 13 13 11 8 5 7 8 10 12 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 19 55 79 81 72 57 208 826 1474 1651 1433 1190 929 626 432 342 295 274 269 270 266 255 260 388 780 1435 2234 2967 3416 3526 3455 3435 3419 3391 3382 3382 3357 3273 3101 2842 2528 2216
10 10 9 9 9 8 8 9 12 15 11 7 6 5 5 6 8 9 9 8 8 8 7 8 9 10 10 10 10 10 11 11 11 12 12 12 12 12 11 10 11 10 10 10 10 11 10 11 12 12 12 12 11 11 11 12 13 12 10 9 6 7 8 11 13 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 17 48 18 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 1 9 31 51 53 41 29 91 594 1279 1608 1462 1166 922 671 479 418 400 393 387 364 332 326 366 467 693 996 1543 2247 2844 3176 3316 3406 3426 3386 3354 3328 3268 3140 2925 2633 2302 1993
11 10 10 10 10 10 10 11 13 13 11 8 7 6 6 7 8 9 8 7 8 7 7 8 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 11 12 12 12 11 11 12 12 13 13 12 11 9 8 7 11 13 13 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 27 82 116 45 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 1 10 29 35 26 17 36 422 1117 1565 1507 1189 940 753 576 542 550 531 494 447 417 435 469 480 502 543 828 1396 2062 2633 3043 3314 3435 3416 3342 3259 3143 2972 2728 2418 2083 1786
11 11 11 11 10 11 12 12 11 11 10 9 7 7 7 8 9 10 9 8 7 6 6 7 8 8 9 8 9 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 12 12 12 11 10 11 12 13 14 13 12 11 9 9 12 14 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 72 145 135 48 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 18 20 18 24 304 983 1550 1595 1278 1004 875 770 746 708 598 496 473 511 558 563 473 406 424 586 955 1486 2054 2569 3001 3313 3424 3336 3192 3020 2810 2539 2216 1888 1607
10 9 9 10 9 10 11 11 11 11 10 9 6 9 8 9 9 9 9 8 6 5 6 7 8 9 9 8 8 8 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 12 13 12 11 10 11 12 13 13 12 13 12 10 10 12 11 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 28 116 151 100 29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 18 187 794 1512 1719 1437 1113 1002 960 895 732 545 449 466 527 568 552 466 406 464 644 928 1323 1739 2113 2520 2995 3333 3350 3169 2941 2687 2387 2061 1745 1475
8 8 8 8 8 9 11 11 11 10 10 8 7 9 8 9 9 9 8 6 5 5 5 6 8 9 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 13 13 12 11 11 11 12 13 13 13 11 11 10 11 11 8 3 1 0 0 0 0 0 0 0 0 0 0 7 31 18 3 1 0 0 0 66 124 108 57 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 92 537 1321 1768 1614 1265 1097 1040 904 689 535 460 442 437 430 405 364 367 471 706 1015 1324 1536 1721 2039 2575 3118 3340 3161 2895 2603 2286 1966 1662 1397
10 8 7 7 8 9 11 11 11 10 10 7 6 7 8 10 9 8 7 6 5 5 5 6 8 8 7 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 11 13 13 13 11 10 10 11 12 12 11 10 10 9 10 10 7 2 1 0 0 0 0 0 0 0 0 0 2 37 172 75 30 13 2 2 11 46 60 36 11 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 1 7 40 253 898 1683 1768 1459 1207 1057 859 690 603 519 443 417 411 384 346 358 469 681 915 1024 972 1139 1556 2175 2879 3277 3163 2886 2565 2238 1921 1624 1362
12 10 9 7 6 8 10 12 13 11 9 7 7 7 8 8 8 7 7 5 4 5 6 7 8 8 6 8 8 9 9 9 9 9 9 9 10 11 11 11 11 11 10 11 10 10 10 10 11 13 13 12 11 11 11 11 11 11 11 11 9 9 9 5 1 0 0 0 0 0 0 0 0 0 0 9 64 274 110 133 75 23 14 22 30 16 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 2 13 77 439 1417 1827 1674 1354 1064 821 706 683 605 491 424 389 357 335 353 436 567 662 568 392 571 1081 1818 2615 3138 3153 2902 2566 2229 1914 1627 1371
12 11 12 10 8 9 10 12 12 12 10 8 7 8 7 8 8 7 6 5 4 5 5 6 7 7 6 7 8 9 9 9 9 10 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 11 13 14 13 12 11 11 11 11 11 12 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 13 89 248 124 262 153 63 23 9 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 120 826 1529 1670 1414 1046 764 671 702 680 533 412 360 333 320 338 394 456 494 383 292 460 910 1616 2412 2999 3133 2936 2599 2257 1943 1662 1411
13 12 12 11 10 11 11 11 12 11 10 9 7 6 4 6 7 6 5 5 4 5 5 6 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 12 13 13 13 12 10 10 10 11 11 9 5 1 0 0 0 0 0 0 0 0 0 0 2 0 2 30 94 105 190 111 53 17 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 2 23 228 764 1152 1153 914 674 588 657 710 576 398 317 279 270 297 345 382 415 397 437 620 984 1593 2324 2898 3086 2933 2630 2307 2007 1732 1484
14 13 12 11 10 10 11 11 12 11 10 9 7 5 6 8 6 5 5 5 5 5 6 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 12 13 13 13 12 11 9 9 9 10 10 8 4 1 0 0 0 0 0 0 0 0 0 0 21 67 54 22 11 33 52 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 2 17 155 411 561 558 492 487 583 680 613 399 277 224 214 238 274 304 344 410 546 745 1081 1651 2328 2850 3029 2904 2648 2368 2096 1830 1577
13 14 14 12 11 11 11 11 11 11 10 8 6 5 7 6 4 4 4 5 5 6 7 6 7 6 7 7 7 8 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 11 10 11 10 11 13 14 13 11 10 9 9 9 11 9 5 2 0 0 0 0 0 0 0 0 0 0 8 61 216 167 84 29 21 33 18 8 5 37 27 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 43 115 189 259 351 484 611 606 383 240 183 170 176 190 211 257 356 516 727 1098 1697 2359 2830 2978 2873 2667 2438 2205 1951 1694
13 15 15 14 14 13 13 13 13 11 9 8 6 6 5 4 4 4 4 5 5 6 6 6 6 6 7 7 8 8 9 9 10 9 9 9 10 10 10 10 11 10 11 10 10 10 10 10 10 12 13 14 13 12 11 10 10 11 11 7 2 0 0 0 0 0 0 0 0 0 0 0 26 118 265 210 196 163 77 42 51 41 27 74 47 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 2 10 37 104 231 416 578 577 382 241 175 146 125 117 121 144 213 340 597 1112 1808 2437 2822 2928 2845 2684 2502 2300 2075 1829
14 16 16 16 16 16 16 15 14 13 11 9 6 5 5 5 4 4 4 4 5 5 5 5 6 6 6 7 9 8 9 9 9 9 9 9 9 10 10 11 11 11 10 11 11 10 10 10 11 12 13 13 13 13 12 11 11 12 9 4 0 0 0 0 0 0 0 0 0 0 0 0 63 331 680 371 319 371 156 60 74 101 95 44 12 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 10 60 195 403 555 517 357 238 169 121 83 67 57 51 77 186 561 1358 2152 2630 2839 2875 2809 2686 2541 2367 2174 1947
14 15 15 15 14 15 15 16 16 16 15 10 6 4 4 3 3 4 4 4 5 5 5 5 6 7 7 7 8 7 8 9 9 9 9 9 9 9 10 11 11 11 10 10 11 10 10 11 11 12 12 12 12 13 13 12 13 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 30 162 255 177 206 173 69 17 29 82 103 44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 55 226 422 503 434 328 246 175 99 48 30 25 17 39 210 768 1806 2554 2819 2871 2848 2782 2680 2555 2409 2240 2040
12 13 14 14 13 12 12 15 19 20 17 12 7 5 4 4 4 3 3 4 4 5 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 10 11 11 12 12 11 11 11 11 12 13 14 13 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 20 23 30 5 0 0 0 0 0 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 4 44 292 446 442 362 287 219 134 61 25 15 14 11 61 339 1077 2180 2721 2839 2861 2826 2746 2647 2544 2424 2276 2091
13 15 15 16 16 15 14 13 14 16 17 13 8 6 6 5 5 4 4 5 5 5 6 7 7 6 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 10 11 13 13 11 10 10 12 13 14 15 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 6 33 39 17 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 19 318 441 391 297 222 151 81 35 16 12 9 11 94 472 1323 2313 2712 2776 2861 2851 2737 2609 2508 2394 2261 2110
13 16 18 20 22 19 17 15 14 12 12 11 8 7 6 5 6 6 4 5 6 6 6 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 12 12 11 10 11 12 14 15 15 10 3 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 0 0 3 289 426 374 265 181 118 64 31 20 16 8 22 154 610 1439 2212 2603 2663 2781 2864 2713 2439 2235 2122 2059 2081
14 17 20 20 20 17 15 13 11 8 8 7 6 6 5 5 5 5 4 4 4 4 5 6 5 5 5 6 6 7 7 7 7 7 7 7 8 8 9 9 10 10 11 10 10 11 11 11 12 12 11 11 12 13 14 14 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 231 410 389 278 185 130 85 47 28 16 12 54 254 728 1406 1990 2350 2448 2573 2685 2371 1762 1244 1045 1147 1666
15 17 19 17 16 13 10 8 6 6 5 5 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 7 8 8 9 10 10 11 11 11 10 11 11 12 12 11 11 11 12 14 15 13 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 16 152 371 407 298 193 137 96 51 22 10 26 136 391 817 1324 1754 2032 2186 2337 2346 1946 1292 805 750 1034 1513
15 16 16 15 14 11 7 5 5 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 6 7 7 7 7 8 8 8 9 10 11 11 11 11 11 10 10 12 12 11 10 12 13 15 14 9 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 10 76 286 403 311 192 124 85 46 18 18 87 252 504 855 1251 1590 1814 1962 2084 2102 1873 1471 1197 1216 1429 1653
13 13 13 14 14 11 7 5 4 4 4 4 3 3 2 2 2 2 2 1 1 1 1 2 2 3 3 4 4 5 6 6 6 6 7 8 8 9 9 10 11 11 11 11 11 10 10 12 12 11 11 13 15 16 13 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 2 32 179 353 310 184 99 66 52 49 85 197 350 555 837 1177 1505 1736 1842 1890 1926 1843 1676 1606 1682 1798 1832
11 10 10 11 14 11 8 5 4 4 4 4 4 3 3 3 3 2 1 0 1 1 1 2 2 3 4 5 5 5 6 6 6 6 7 8 9 9 9 10 11 10 10 10 11 11 11 13 12 12 13 15 16 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 94 257 324 201 98 58 61 96 172 288 407 564 803 1116 1436 1675 1782 1807 1858 1853 1842 1887 1970 2013 1954
10 10 10 11 13 9 7 5 4 4 3 3 4 3 3 3 2 2 1 1 2 2 2 2 2 3 4 5 6 6 6 6 6 7 8 8 9 9 9 10 10 9 9 10 11 11 11 12 13 13 14 16 18 16 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 8 50 171 375 274 160 106 113 164 246 336 418 538 740 1010 1296 1546 1719 1796 1887 1919 1986 2063 2120 2117 2026
10 11 11 11 11 8 7 5 4 3 3 3 3 4 3 2 2 2 2 2 2 3 3 3 3 4 5 6 6 6 7 8 8 9 9 10 9 9 9 9 9 8 8 9 11 11 12 13 14 14 15 18 19 15 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 3 22 105 401 426 348 283 266 291 334 378 419 502 651 863 1119 1390 1622 1766 1912 1991 2081 2157 2193 2165 2057
12 13 13 13 12 10 8 7 5 5 5 4 3 3 3 3 2 2 2 3 3 3 4 5 5 6 6 7 7 8 8 8 9 9 10 10 9 9 8 8 8 8 8 9 10 11 11 12 13 14 16 18 18 12 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 4 52 282 498 531 506 480 468 464 457 455 486 574 727 943 1201 1454 1667 1859 2008 2114 2190 2218 2175 2042
15 16 15 15 14 13 12 10 9 7 6 5 4 3 3 3 2 2 3 4 5 5 7 8 7 7 8 8 8 9 9 8 9 9 9 9 8 8 8 8 8 8 9 10 10 12 9 10 12 14 16 18 15 7 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 19 117 360 524 593 616 616 599 563 524 508 539 638 799 1019 1268 1512 1742 1946 2096 2191 2225 2173 2019
17 17 16 16 15 15 15 14 13 10 8 6 5 5 4 4 4 4 5 6 7 8 9 10 9 9 9 9 9 10 10 9 10 8 8 8 8 8 8 8 8 8 10 11 11 11 9 8 12 15 17 17 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 2 28 133 295 445 545 596 615 607 573 541 537 588 700 878 1101 1345 1594 1825 2013 2137 2188 2141 1980
19 18 17 17 16 16 16 16 15 14 12 10 9 7 6 6 7 8 8 9 10 10 10 11 10 10 10 9 10 10 10 10 9 8 8 8 9 8 8 8 8 8 10 10 10 9 8 8 12 15 17 17 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 0 0 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 24 77 186 300 387 458 507 520 523 532 564 634 756 930 1142 1375 1607 1813 1960 2051 2057 1940
19 18 17 17 16 15 16 16 15 14 13 12 11 11 10 10 11 11 11 12 12 12 12 11 11 10 10 9 10 10 10 9 8 8 9 9 9 9 8 8 8 9 10 7 7 7 8 9 13 16 18 16 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 0 0 2 8 40 107 182 262 332 388 435 465 490 530 604 716 864 1040 1233 1428 1600 1759 1875 1866
19 18 17 16 14 14 14 14 14 14 13 13 12 12 12 12 13 12 12 13 13 12 12 11 10 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 5 6 7 8 11 15 17 17 14 8 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 20 58 117 176 240 304 359 404 438 456 480 525 594 688 809 958 1137 1359 1593 1716
20 19 16 14 14 13 13 12 11 12 12 12 12 12 13 13 13 12 13 13 13 12 11 10 9 9 8 8 9 8 9 9 9 8 8 7 7 7 6 6 7 7 6 5 5 7 11 14 15 13 11 8 4 2 0 0 0 0 0 0 0 0 0 0 0 1 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 1 4 15 39 110 181 250 313 367 415 458 469 468 475 483 511 568 654 819 1048 1322 1535
19 17 15 13 15 13 12 12 12 11 11 11 11 11 12 12 13 12 13 12 11 11 10 10 9 9 9 8 8 8 9 8 8 7 7 7 6 6 6 6 7 7 7 6 7 10 14 15 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 0 0 0 0 0 0 0 0 0 0 3 10 22 95 188 274 347 405 451 490 518 519 506 494 496 514 561 688 855 1118 1382
16 15 13 13 14 11 11 12 12 11 10 10 10 10 11 13 13 12 12 11 12 11 10 10 9 8 9 8 8 8 8 7 7 7 6 5 5 5 4 4 5 4 5 6 8 12 14 12 7 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 3 9 21 76 179 282 367 427 467 493 509 514 509 505 502 509 543 618 732 952 1225
15 13 12 12 13 12 12 13 12 10 9 9 11 12 12 12 12 12 12 12 11 10 10 9 8 8 8 7 7 7 7 6 5 5 4 4 3 2 2 2 2 2 6 4 5 8 8 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 0 0 0 0 0 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 9 7 6 10 20 40 91 191 295 377 430 459 479 499 507 485 490 496 513 540 574 654 795 1005
15 13 11 12 12 12 12 11 11 10 10 11 11 12 14 13 12 13 12 11 11 10 9 8 8 8 8 7 5 5 5 5 3 2 1 2 1 0 0 0 0 2 8 2 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 0 0 0 0 0 0 3 12 39 63 66 65 70 84 114 171 252 335 400 436 452 465 485 505 492 493 507 530 550 566 611 685 814
16 14 12 11 10 10 10 9 9 10 12 12 12 12 12 12 11 12 11 10 10 9 9 8 8 8 7 5 4 4 3 2 1 0 0 0 0 0 0 0 1 3 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 2 16 60 131 161 181 199 220 248 290 344 400 438 447 442 441 459 494 510 527 548 568 581 589 602 628 702
15 13 12 11 8 9 9 9 9 10 11 12 12 12 12 12 11 10 10 10 10 10 9 8 8 7 6 5 3 2 0 0 0 0 0 0 0 0 0 0 1 2 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 9 46 135 198 252 296 330 359 387 420 449 457 439 409 389 399 447 504 546 579 599 608 610 610 607 639
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