Vorticity
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nan 16 18 20 21 22 21 19 18 17 16 16 16 16 17 20 23 27 31 32 32 29 22 14 7 2 -1 -2 -2 -1 1 3 4 6 7 9 10 10 11 11 11 11 11 10 9 8 8 9 10 11 11 11 12 13 14 15 12 9 7 5 6 6 6 7 9 10 12 13 14 13 13 12 12 12 12 12 12 13 14 15 17 17 17 16 16 15 15 14 13 12 12 11 9 8 8 9 10 11 12 14 15 14 13 12 11 10 9 8 8 8 8 9 10 10 12 14 15 17 19 20 20 19 18 17 17 17 15 13 12 11 11 11 13 14 15 14 13 11 10 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 18 18 18 17 17 17 16 16 16 16 16 17 18 19 23 27 28 26 22 17 11 4 -2 -5 -5 -3 -1 2 4 5 5 6 6 7 8 9 10 10 11 11 11 11 10 9 8 8 8 8 9 9 9 10 12 14 15 13 10 7 4 4 4 5 6 7 9 11 13 13 13 13 13 13 13 13 13 14 15 16 17 18 18 18 17 17 16 15 14 13 13 11 9 7 6 7 9 11 13 14 14 14 12 12 11 11 10 10 10 9 9 8 8 7 8 10 12 14 16 18 19 19 19 19 19 18 18 16 14 13 12 12 12 13 14 14 14 12 11 9 8 7 6 6 5 4 4 4 5 6 7 8 7 7 7 7 7 7 7 7 8 9 9 10 10 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 17 16 15 14 14 14 15 15 16 18 18 19 21 23 26 27 23 15 7 1 -4 -6 -6 -5 -2 2 5 7 8 8 8 7 7 7 8 8 9 10 10 11 11 10 9 9 8 8 8 8 8 8 8 8 10 13 14 13 10 7 4 3 2 3 4 5 7 9 11 12 13 13 13 13 14 15 15 15 16 17 17 18 18 17 16 15 14 14 14 14 13 11 9 6 5 7 9 12 14 14 13 11 9 9 9 10 10 10 10 10 10 10 10 9 9 11 13 15 17 18 19 19 19 19 19 19 18 17 15 14 13 13 13 14 14 14 13 12 11 9 8 7 7 6 5 4 4 4 6 8 10 9 8 8 7 8 8 8 8 7 8 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 11 11 nan
nan 16 14 13 12 12 13 14 16 18 20 22 24 27 27 27 23 14 4 -3 -6 -6 -4 -1 1 3 6 8 10 10 10 9 8 8 8 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 10 12 14 13 11 8 6 4 2 2 2 3 4 6 8 10 11 12 13 13 14 14 15 16 16 16 17 17 16 15 14 13 13 13 14 14 13 12 9 6 4 6 9 11 14 14 12 10 8 7 7 8 9 9 9 10 11 12 13 12 12 13 14 16 18 19 19 18 18 18 18 18 18 17 16 15 14 13 13 14 14 14 13 12 10 9 8 8 8 8 8 7 8 9 10 12 12 11 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 nan
nan 14 13 13 12 12 13 15 18 20 23 26 28 30 28 24 15 4 -3 -6 -4 -1 2 5 5 7 8 10 11 11 10 10 9 9 10 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 9 11 13 13 13 11 9 7 5 4 2 2 2 3 5 7 9 10 11 11 11 11 12 13 15 17 17 17 16 15 14 13 13 13 14 14 13 11 8 5 4 6 8 11 13 14 12 10 8 6 6 7 8 9 9 9 11 12 14 15 14 15 15 17 18 18 18 17 16 16 17 18 18 17 16 15 15 14 14 14 14 13 13 12 10 9 9 9 9 10 10 11 12 13 13 14 13 12 11 11 11 11 10 10 9 8 8 9 9 10 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 nan
nan 13 13 13 12 13 15 16 18 20 23 26 27 25 21 13 3 -4 -5 -3 -0 4 7 8 8 9 10 11 11 11 11 10 10 10 11 12 12 10 9 8 8 8 8 8 8 9 9 10 10 11 10 9 9 8 9 12 14 15 14 12 11 9 8 6 4 2 2 3 4 6 7 8 8 8 7 8 10 13 15 18 18 17 16 15 14 14 14 14 14 13 11 8 6 6 7 9 10 12 14 13 12 10 8 6 7 7 8 8 9 10 12 14 15 15 16 16 17 18 18 17 16 15 16 16 17 17 17 16 15 14 14 14 14 14 14 13 12 10 10 10 10 11 12 13 14 14 15 15 14 14 13 12 12 12 12 12 11 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 nan
nan 13 13 14 14 15 16 17 17 18 19 20 19 16 11 3 -4 -4 -1 3 5 7 8 8 10 11 12 12 12 11 10 10 10 9 10 11 12 11 9 7 7 7 8 9 10 11 12 12 12 12 11 11 9 8 9 11 14 16 16 15 13 12 12 11 9 5 3 2 3 4 6 7 8 8 7 7 8 11 14 17 18 18 17 16 14 14 14 14 14 12 11 9 7 8 8 10 11 12 13 14 13 11 9 8 7 7 7 8 9 11 13 14 15 16 16 17 17 17 17 16 15 15 15 16 16 16 15 15 14 14 14 14 14 14 13 13 11 10 10 10 11 12 13 14 15 15 15 15 14 14 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 10 10 10 11 11 11 11 10 10 10 10 10 10 nan
nan 12 13 15 17 18 18 17 16 16 15 14 12 9 5 1 -1 2 5 7 8 9 10 10 11 12 12 13 12 10 9 8 9 8 9 10 11 11 9 8 6 7 9 12 14 15 15 15 14 12 12 11 10 9 9 10 12 13 14 14 13 13 13 13 13 10 7 5 5 5 6 8 9 9 8 8 9 10 13 16 18 18 17 15 13 13 14 14 13 12 10 9 9 9 10 11 12 12 13 13 12 11 9 8 7 7 8 8 10 12 14 16 17 17 17 17 17 16 16 15 15 14 15 15 15 15 15 14 14 14 14 14 14 13 13 12 11 10 10 11 12 13 14 15 15 15 15 14 13 13 13 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 10 10 10 10 11 11 11 11 10 10 10 9 9 9 nan
nan 10 12 15 18 20 19 17 15 14 13 12 10 8 6 5 5 7 9 10 10 11 12 13 12 12 12 13 12 11 9 8 7 8 8 9 10 10 10 8 7 8 10 14 17 18 18 16 14 13 12 12 11 10 10 10 10 11 11 11 11 11 12 13 14 13 11 9 7 7 7 8 9 9 9 9 10 11 15 18 19 19 17 15 13 13 15 15 14 12 9 8 8 10 12 13 13 13 13 12 11 10 8 7 7 7 8 9 10 13 15 17 18 18 18 17 16 15 15 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 11 10 10 10 11 12 13 14 14 14 14 14 13 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 nan
nan 6 8 13 17 19 18 17 15 13 12 11 10 9 8 8 9 10 10 10 11 12 13 14 14 13 12 13 12 10 9 7 7 7 7 8 9 10 10 9 8 9 12 15 18 20 19 16 13 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 12 13 11 10 9 8 7 8 8 8 9 9 11 13 16 18 19 19 17 15 15 15 17 17 15 12 8 7 9 11 13 14 14 14 13 12 10 9 7 6 6 8 10 11 12 14 16 18 18 18 17 16 15 14 13 13 13 13 13 13 14 14 14 14 14 13 13 13 12 12 11 10 10 10 10 11 12 13 14 14 14 13 13 12 12 11 12 12 12 12 11 11 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 9 9 nan
nan 5 9 14 17 17 16 15 14 12 11 10 10 10 9 10 10 11 11 11 11 12 13 14 14 13 12 11 11 10 9 8 7 7 7 6 7 8 9 9 9 9 11 14 17 18 18 15 13 12 12 13 14 16 16 16 15 13 12 10 9 8 8 9 10 11 11 10 9 8 8 8 8 9 9 10 12 14 17 19 19 19 18 17 17 17 17 17 15 12 9 8 10 11 13 14 14 14 14 13 11 8 6 5 6 9 11 13 16 17 18 18 17 17 16 15 14 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 10 10 10 10 10 11 12 13 13 13 13 12 12 11 11 11 11 12 11 11 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 9 8 8 9 9 nan
nan 14 17 18 18 17 15 14 13 12 11 10 10 10 10 10 11 11 12 12 11 12 13 14 13 12 10 9 8 8 8 8 8 7 6 6 7 8 9 10 10 9 10 12 14 16 17 16 13 12 12 13 15 17 18 18 16 14 12 11 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 10 11 14 17 19 19 19 18 17 17 16 15 15 13 12 12 12 13 13 13 13 13 13 13 12 10 8 6 5 7 9 12 15 17 18 18 17 16 16 15 14 13 13 13 13 13 14 13 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 9 9 9 nan
nan 23 23 21 19 17 15 14 12 11 11 10 10 10 10 10 11 12 13 13 13 13 14 13 12 10 7 5 5 6 7 8 8 8 8 8 9 10 10 11 10 10 10 11 12 14 16 16 15 13 12 12 12 13 13 14 14 13 12 11 10 8 7 6 6 7 7 8 9 10 10 10 9 8 8 8 9 12 17 18 19 19 18 16 15 13 12 12 12 13 14 14 15 15 14 13 12 11 11 10 9 8 7 7 8 10 12 15 17 17 18 17 16 15 14 14 13 13 14 14 14 14 14 14 13 13 12 12 12 12 13 13 13 13 12 11 11 10 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 nan
nan 23 22 20 18 16 15 14 12 11 11 10 10 10 10 10 11 13 14 14 14 14 13 12 10 7 5 3 3 3 4 5 6 7 9 10 10 11 11 11 11 11 11 12 12 14 15 15 15 13 11 9 8 7 7 8 9 10 11 12 11 10 9 7 6 6 6 7 9 10 11 10 9 9 8 8 9 13 17 19 19 19 17 14 12 11 10 11 12 15 16 16 15 15 14 13 11 9 9 9 8 8 8 8 9 11 13 15 16 17 17 17 16 15 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 14 14 14 14 13 12 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 9 nan
nan 20 19 18 17 16 15 13 12 12 12 11 10 10 10 11 12 13 14 13 13 13 13 11 9 7 5 5 4 3 3 3 3 5 6 8 9 10 11 11 12 12 13 13 14 15 15 15 14 12 10 8 6 5 5 6 8 10 11 12 12 12 11 10 8 7 6 7 8 9 10 10 10 10 9 10 12 15 18 20 20 19 15 10 8 9 10 12 14 16 17 15 14 13 12 11 9 8 8 8 8 9 9 9 10 11 12 14 16 16 16 16 15 15 14 13 13 13 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 nan
nan 19 18 17 17 15 14 13 12 14 14 14 12 10 9 11 13 14 13 12 10 10 11 11 10 9 8 7 8 7 5 4 3 3 5 6 8 9 10 11 12 13 14 15 15 16 16 15 14 13 11 9 7 6 6 7 9 10 11 12 12 12 12 12 11 9 8 7 7 7 9 10 10 11 11 11 13 16 18 20 21 19 15 10 8 9 11 13 15 15 15 13 12 11 9 7 7 7 7 8 9 9 9 9 10 11 12 13 14 14 15 15 14 14 13 13 12 12 12 12 12 12 12 12 11 11 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 nan
nan 19 18 17 18 17 16 14 13 15 16 16 13 9 8 9 12 14 13 12 10 8 8 9 9 10 10 10 11 11 10 7 6 5 6 8 9 10 11 11 12 13 14 15 16 17 16 15 14 13 12 10 9 8 8 9 10 11 12 11 11 11 11 12 11 10 9 8 7 7 8 9 10 11 12 12 14 16 17 18 19 18 16 13 12 12 12 13 13 13 13 12 10 9 7 6 6 6 7 8 8 9 10 11 11 12 13 13 13 14 14 14 14 13 13 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 nan
nan 18 17 16 17 18 16 14 13 13 15 14 11 8 6 8 11 13 13 13 11 9 8 9 9 10 11 12 13 13 12 11 9 8 9 11 12 12 12 12 12 12 13 14 15 16 16 15 14 12 11 10 9 9 9 10 11 12 12 12 11 11 10 10 10 9 9 8 7 8 9 10 10 11 12 13 16 17 17 17 17 17 17 16 15 14 13 12 12 11 11 11 10 9 7 6 6 6 6 6 7 8 10 12 13 15 16 16 15 14 14 13 13 13 12 12 12 11 11 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 10 nan
nan 18 16 15 16 16 14 12 10 9 11 12 10 8 6 8 10 11 11 11 11 10 10 11 11 11 12 12 12 12 13 12 11 11 12 14 14 15 14 13 12 12 12 12 13 15 15 15 14 13 11 10 9 9 9 9 11 12 12 12 11 11 10 10 9 8 8 8 8 9 11 12 12 12 12 14 16 17 17 16 16 17 18 17 16 15 13 11 10 10 10 11 12 11 9 7 6 6 6 7 8 9 10 12 14 16 17 18 18 17 16 15 14 13 12 12 11 11 12 12 12 13 13 13 12 12 11 11 11 11 10 11 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 11 10 10 10 10 10 9 9 9 8 8 8 8 9 10 nan
nan 20 18 16 16 15 13 10 7 7 9 12 12 11 9 8 9 8 8 7 7 9 11 12 12 12 12 11 11 12 12 12 13 13 14 15 16 17 16 15 13 12 11 11 12 13 14 14 14 14 12 11 9 9 9 9 10 11 12 12 12 12 11 10 9 8 7 7 8 10 13 14 14 13 12 13 15 17 17 16 16 16 17 17 16 15 13 11 10 10 10 11 11 10 8 6 5 6 7 8 9 10 10 12 14 16 19 20 20 20 19 17 15 14 13 12 12 12 12 12 12 13 13 12 12 12 11 11 11 10 11 11 10 10 10 10 11 10 10 9 9 10 10 11 11 12 12 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 11 10 10 9 9 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 9 9 10 nan
nan 20 19 17 16 15 13 10 7 7 10 13 15 14 11 10 10 9 8 7 6 8 10 12 13 13 12 11 11 11 12 12 13 13 14 16 16 17 17 16 14 12 11 11 10 11 12 13 14 14 14 12 11 10 10 10 10 11 11 11 11 11 11 10 9 8 7 7 8 10 13 14 15 14 14 14 15 16 17 17 17 17 17 17 16 14 13 12 11 11 10 10 9 7 5 4 4 5 7 9 10 11 11 12 14 17 19 21 22 21 20 18 15 14 13 12 12 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 9 9 10 10 11 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 nan
nan 17 16 15 14 14 13 11 10 10 11 13 14 15 13 12 13 13 11 10 9 9 11 12 13 13 12 11 11 11 11 12 12 12 13 14 16 17 17 16 15 13 12 11 10 10 10 12 13 14 14 14 13 12 11 11 11 12 12 12 11 11 11 11 9 8 7 6 8 11 14 15 16 16 16 16 16 16 17 17 18 18 17 16 14 13 11 11 12 12 11 9 7 5 3 3 4 5 7 9 10 11 12 13 15 17 20 21 22 21 20 17 15 13 13 12 12 11 12 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 10 11 11 12 12 13 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 nan
nan 14 13 13 12 12 12 12 11 11 11 11 12 13 14 15 16 16 14 13 12 12 13 13 13 13 12 11 9 9 9 9 10 10 11 12 14 15 16 16 15 14 13 12 11 10 11 11 12 13 13 12 11 10 10 10 10 12 12 12 13 13 13 12 10 9 7 6 7 11 14 16 17 18 18 18 18 17 17 17 19 19 17 14 12 10 9 10 11 12 12 10 8 5 4 4 5 6 8 9 10 11 12 13 15 18 20 21 22 21 19 17 14 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 11 11 11 11 11 10 9 9 9 9 10 10 11 12 13 12 12 11 11 11 11 11 10 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 nan
nan 13 12 12 12 12 12 12 12 12 11 11 11 12 13 15 17 16 15 13 12 12 13 13 13 13 12 10 8 7 7 7 7 8 9 11 12 14 15 15 15 15 14 12 12 11 12 12 12 12 11 9 8 7 7 8 9 10 11 12 12 13 14 14 13 11 9 7 6 9 12 15 16 17 18 19 19 18 18 18 18 17 14 11 8 6 7 8 10 11 12 12 9 7 6 6 7 8 9 10 11 11 13 14 16 18 20 21 22 21 19 17 15 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 nan
nan 13 12 11 11 12 12 13 14 15 14 13 13 13 13 14 15 15 13 12 11 11 11 11 12 12 11 10 9 8 7 7 7 8 8 9 10 11 13 13 14 14 14 14 13 13 13 12 12 12 10 9 7 6 6 7 8 9 10 11 12 13 14 14 13 12 11 10 8 10 11 12 14 16 19 20 21 20 19 18 17 14 10 6 4 3 4 6 7 9 10 11 10 9 8 8 9 9 10 10 11 12 13 14 17 19 21 22 22 21 19 17 15 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 10 10 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 12 12 12 11 11 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 14 11 10 10 12 14 16 17 18 18 17 16 15 14 13 13 12 12 11 11 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 10 10 11 12 13 14 14 14 14 14 13 13 12 12 11 9 8 8 8 9 9 9 10 11 13 13 13 13 13 13 12 12 12 12 13 14 17 20 22 21 20 18 16 14 12 9 6 4 4 4 5 5 5 6 7 8 8 8 8 9 10 10 11 11 12 13 15 17 19 21 22 22 21 19 16 15 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 9 9 10 10 10 10 11 11 11 11 12 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 15 12 10 11 12 14 16 17 18 18 17 17 15 13 12 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 10 11 12 13 14 15 15 15 15 14 13 13 12 11 10 10 10 10 10 9 10 11 12 12 12 12 13 14 14 15 15 15 15 15 18 21 22 20 18 16 14 14 14 12 10 8 6 6 6 5 5 5 6 7 7 7 7 8 9 10 10 11 12 13 14 17 19 20 21 21 20 18 16 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 nan
nan 16 14 12 12 12 13 14 14 15 15 15 15 13 12 10 10 10 10 11 11 10 9 9 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 10 11 13 15 16 16 16 15 15 14 12 11 11 11 11 11 10 10 10 11 11 12 11 11 12 14 15 16 16 16 16 16 18 19 19 18 17 15 16 17 17 15 12 9 7 7 7 6 6 7 8 10 10 9 8 8 8 9 10 10 11 12 14 16 18 19 19 19 18 17 16 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 13 13 13 13 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 nan
nan 17 14 12 11 11 11 11 11 11 11 11 11 10 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 9 9 12 14 15 17 17 16 16 13 11 10 9 10 11 11 11 10 11 11 11 11 10 10 12 13 15 16 16 16 16 16 16 16 15 15 14 16 18 19 18 15 12 8 6 7 7 7 8 9 11 13 13 12 11 10 9 10 10 10 11 13 14 16 17 18 18 18 17 16 16 15 13 13 12 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 12 11 11 10 10 10 10 11 11 12 12 12 12 11 11 10 10 9 9 10 11 11 12 12 12 12 11 11 11 10 10 10 11 11 10 nan
nan 17 14 12 11 11 11 11 10 9 9 9 9 9 8 7 7 7 8 8 9 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 10 9 9 8 9 10 11 14 16 17 18 17 16 13 11 9 8 9 10 11 11 11 11 11 10 9 9 10 11 13 14 14 14 14 15 14 14 14 13 14 14 15 17 17 15 13 9 6 5 6 7 8 8 9 11 13 13 13 13 12 11 11 11 11 11 13 14 15 16 18 18 18 17 16 15 14 13 13 12 12 12 12 12 12 11 11 11 11 12 13 13 14 14 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 13 13 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 13 13 12 12 11 10 10 9 9 10 10 11 12 12 12 12 11 10 10 11 11 11 11 11 11 nan
nan 17 15 12 12 12 13 13 12 11 10 10 9 9 9 8 8 8 8 9 9 10 10 11 12 12 13 12 12 11 10 10 11 11 12 12 12 11 10 9 9 9 10 12 14 17 18 19 18 16 14 11 10 9 9 9 10 10 10 11 11 10 9 9 10 11 13 13 13 12 13 13 14 14 14 14 14 14 13 13 12 12 10 8 6 6 7 7 8 9 9 11 12 13 13 13 13 13 12 12 12 12 13 14 16 17 18 19 18 17 16 15 14 13 13 12 12 12 12 12 12 12 12 11 11 12 12 13 14 14 13 13 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 12 12 12 12 11 11 11 10 10 11 11 12 12 12 13 13 13 13 13 12 11 10 10 9 9 10 10 11 11 12 12 11 10 10 10 11 11 11 11 11 11 nan
nan 16 15 13 13 13 14 15 15 14 12 11 10 9 9 9 9 9 10 10 11 11 12 12 12 13 13 12 12 11 11 11 11 12 12 12 12 12 11 10 10 10 11 12 15 16 18 18 18 16 14 13 11 10 9 9 9 10 10 10 11 11 12 12 12 12 13 13 13 13 13 14 15 16 16 14 14 12 11 9 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 13 13 13 13 13 13 13 14 15 17 18 18 19 18 17 16 15 14 14 13 12 12 12 12 12 12 12 12 12 11 11 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 11 10 9 9 9 9 10 11 11 12 12 11 11 10 11 10 11 11 11 11 11 nan
nan 14 15 15 14 14 14 14 15 14 13 11 10 9 8 9 10 10 10 11 11 12 12 12 13 13 13 12 12 11 11 11 12 12 13 13 13 12 11 10 9 9 10 11 13 15 16 17 17 15 14 12 11 11 10 11 10 10 10 10 11 13 13 14 14 13 13 13 13 14 14 14 15 15 14 13 11 10 8 8 8 9 9 10 11 12 12 12 11 11 11 11 11 12 12 12 13 13 14 14 14 15 17 18 18 19 19 19 18 17 16 15 14 14 13 12 12 12 12 13 13 12 12 11 11 11 12 12 12 12 12 12 12 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 11 10 9 8 7 7 8 9 11 11 12 11 11 11 11 11 11 11 11 11 11 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
CAPE
42 42 43 42 42 46 50 54 60 66 71 63 56 49 37 19 6 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 22 65 108 139 166 170 154 130 102 82 78 85 110 160 235 288 217 124 43 4 9 41 106 188 256 278 327 358 347 284 170 45 8 3 4 32 173 337 497 626 653 440 568 445 249 98 23 4 0 0 0 0 0 0 0 0 1 4 20 62 121 154 132 115 82 75 93 122 133 129 204 297 362 410 437 448 441 405 339 275 298 321 341 349 329 310 335 304 338 459 233
39 39 41 41 40 40 42 47 53 60 67 68 62 48 31 13 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 59 127 163 160 151 152 138 110 75 51 50 78 145 206 161 79 34 9 2 11 38 97 171 230 258 299 327 319 271 196 117 32 13 43 124 276 421 515 590 693 804 599 484 351 212 98 29 8 1 0 0 1 0 0 0 1 6 23 87 201 295 307 232 151 129 145 163 144 110 119 177 273 371 417 383 342 315 298 279 269 262 270 285 293 290 304 283 352 435 260
37 37 39 39 36 35 37 42 49 56 64 68 61 44 25 10 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 85 229 317 266 126 114 111 93 65 40 42 95 176 162 44 11 3 0 4 16 45 104 171 222 262 312 347 357 349 321 259 102 78 140 264 410 506 491 459 441 451 479 460 425 352 247 134 51 26 16 15 15 12 7 4 4 9 25 83 205 301 320 230 135 134 151 151 122 86 82 110 189 292 361 340 321 322 310 264 241 233 228 223 224 235 234 240 333 384 255
35 35 36 38 33 29 30 36 45 54 63 64 54 36 18 6 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 49 215 447 470 268 111 95 85 67 54 65 132 200 131 21 1 0 0 5 21 57 122 187 238 287 337 378 397 405 395 330 182 129 205 346 476 526 455 365 313 325 351 245 230 251 257 225 160 117 93 88 93 94 87 72 56 54 73 122 224 274 276 251 223 215 206 162 107 84 88 136 228 333 407 402 401 389 369 341 324 298 243 178 151 178 190 226 316 331 219
31 31 34 34 29 25 26 32 42 53 62 58 45 28 11 3 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 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 3 24 110 338 477 419 208 92 64 54 61 93 156 160 75 14 0 0 0 4 20 60 128 199 254 298 334 360 376 372 340 268 170 104 213 352 456 485 424 325 280 328 365 291 221 211 214 219 215 192 179 173 172 172 164 144 128 122 137 176 220 259 307 366 427 451 342 249 201 195 224 302 388 453 485 474 460 427 431 432 398 342 254 132 107 165 178 217 274 257 159
27 32 35 33 26 20 20 27 38 49 58 55 41 23 9 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 4 5 5 8 9 9 8 7 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 7 35 122 281 378 330 152 40 21 33 69 104 71 26 5 0 0 0 2 16 60 128 198 253 276 296 326 363 376 262 163 104 119 254 361 410 415 379 305 273 303 302 288 376 399 277 205 185 172 164 141 120 106 97 97 118 135 158 189 209 222 244 282 336 395 425 335 273 277 334 429 498 499 475 451 424 398 457 501 483 415 358 205 167 197 193 196 196 159 89
26 31 36 29 23 19 19 25 37 48 54 51 36 19 7 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 7 12 13 10 7 5 4 5 6 7 8 8 8 7 6 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 1 6 27 102 212 227 148 50 10 18 46 51 21 5 1 0 0 0 1 10 53 116 183 236 254 306 383 448 446 220 98 54 112 282 392 364 319 282 254 240 235 216 187 163 154 126 102 92 88 79 54 31 17 19 39 90 135 181 218 235 235 232 236 255 293 354 316 259 227 250 349 468 466 424 381 349 355 450 530 548 486 366 274 239 233 220 188 141 89 43
27 29 30 26 17 15 19 27 39 52 56 49 33 16 6 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 10 19 25 30 31 26 18 9 2 5 6 7 6 6 5 3 2 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 3 3 1 0 0 0 0 3 14 62 108 126 102 67 69 86 62 23 4 0 0 0 0 1 6 40 96 161 226 308 437 534 541 431 180 65 49 164 343 416 264 204 177 164 156 144 137 132 123 106 92 86 64 43 30 19 9 7 17 53 128 273 315 318 305 281 244 222 218 232 263 323 265 198 195 281 427 453 410 373 367 374 427 451 414 349 337 359 329 292 250 194 127 74 44
28 30 30 25 14 13 20 31 43 55 56 45 30 15 5 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 42 61 70 74 64 44 26 20 20 11 8 7 6 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 23 20 10 3 0 0 0 0 1 7 27 76 128 151 145 141 74 24 5 0 0 0 2 9 24 73 144 248 392 573 701 653 520 336 142 41 37 159 308 368 253 207 172 132 95 84 80 74 68 65 65 60 54 45 36 24 14 13 27 79 195 416 413 358 300 254 216 200 205 214 228 271 247 213 218 294 439 487 458 453 458 421 368 317 253 231 282 261 299 299 252 175 99 79 76
28 30 27 21 15 15 22 35 46 53 53 40 26 13 5 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 18 36 60 81 80 60 39 30 18 14 13 13 12 6 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 6 21 56 38 17 4 0 0 0 0 0 2 10 67 129 162 154 128 47 12 2 1 3 5 12 30 83 196 328 480 640 764 754 434 247 130 56 21 33 158 320 427 409 371 264 164 99 86 100 107 99 85 73 63 68 71 67 54 38 32 44 98 200 329 311 258 209 177 160 162 193 213 220 227 210 191 219 329 495 553 545 523 471 380 280 237 210 233 268 242 291 271 193 96 32 42 67
30 28 24 19 15 16 22 32 41 44 39 28 15 7 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 30 53 72 75 50 24 15 15 16 17 15 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 28 54 35 13 2 0 0 0 0 2 13 37 85 131 132 98 54 14 3 1 16 47 83 105 124 144 214 392 575 641 564 341 31 26 14 8 18 57 171 316 436 476 419 293 160 78 58 81 102 89 60 38 46 57 72 81 79 67 60 74 116 166 196 184 159 137 119 111 119 164 200 194 152 111 134 213 368 517 533 530 468 374 276 207 215 214 269 312 273 310 289 186 74 10 14 38
29 25 18 20 15 13 17 24 34 37 31 19 7 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 29 44 36 25 19 17 16 15 16 14 11 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 26 18 6 1 0 0 0 5 14 44 88 128 129 91 48 14 3 1 6 41 113 213 269 247 155 105 185 294 288 182 54 0 0 0 2 22 73 162 286 418 445 333 222 105 36 13 20 26 16 9 7 13 26 44 60 70 76 79 107 135 148 145 128 107 90 77 73 83 111 160 161 117 68 96 189 345 447 419 349 270 207 172 175 224 219 239 256 257 244 175 91 33 9 11 23
28 32 30 23 16 12 14 20 29 35 30 16 5 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 22 26 25 24 23 21 19 18 16 14 16 13 8 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 8 4 1 0 0 6 26 49 71 97 121 127 86 36 9 5 8 26 56 101 169 254 304 173 79 60 53 31 10 0 0 0 0 0 17 62 141 252 347 300 166 85 35 11 3 4 6 4 9 13 18 24 29 37 47 61 81 117 133 127 108 85 66 59 54 52 57 68 102 118 111 92 88 165 313 385 318 188 96 67 80 124 183 188 223 227 191 124 58 24 12 10 12 17
27 33 33 23 14 11 12 20 29 36 34 16 7 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 13 14 15 15 15 16 17 18 19 17 11 7 5 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 2 5 16 41 85 93 90 87 82 67 34 17 16 29 58 95 133 188 254 280 245 148 66 19 1 0 0 0 0 0 0 5 33 91 179 215 121 42 12 3 2 2 3 6 10 16 19 20 21 21 21 27 43 73 112 127 118 98 76 60 57 54 50 47 46 51 59 68 75 84 107 98 72 47 30 13 11 20 57 109 121 142 126 83 34 11 6 7 10 13 18
31 37 41 25 15 11 11 18 29 36 34 19 9 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 4 5 7 13 18 20 19 14 10 7 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 3 8 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 10 6 31 69 111 136 113 78 59 54 42 32 25 33 61 101 133 166 220 293 326 264 157 58 5 0 0 2 3 3 2 1 17 72 181 357 146 34 3 1 1 1 4 18 35 34 27 20 15 12 12 14 32 64 101 124 123 114 105 98 92 76 60 48 37 25 16 17 17 11 2 1 4 7 7 4 5 5 17 38 51 53 38 20 6 4 5 7 10 16 24
29 38 38 24 15 11 11 17 27 34 33 23 9 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 9 17 21 21 18 14 11 8 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 6 31 38 22 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 16 26 31 19 56 89 133 186 167 69 25 23 36 34 29 36 60 101 147 185 235 328 446 423 291 141 32 1 0 8 19 22 12 2 18 85 239 467 165 41 3 1 1 4 16 51 77 63 37 17 5 0 2 5 23 52 87 116 130 136 143 148 137 88 67 53 37 19 4 2 2 2 1 2 2 3 3 4 5 5 7 14 23 23 16 9 5 4 6 9 12 21 36
20 28 29 23 14 11 11 15 25 35 37 27 13 5 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 2 4 8 11 14 20 25 25 22 18 15 10 6 4 2 0 0 0 0 1 1 1 1 1 1 0 0 0 1 7 47 66 52 23 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 34 47 47 31 39 59 114 182 211 127 59 30 32 48 80 98 113 137 181 242 270 335 432 480 396 245 104 20 3 25 56 62 37 4 29 119 319 453 151 36 4 0 2 7 35 90 103 67 32 14 4 0 0 0 15 40 71 103 127 142 163 178 169 106 91 75 54 29 8 2 1 1 2 3 3 3 3 4 4 4 8 13 17 15 10 10 9 7 11 15 27 43 61
17 24 24 20 15 12 10 15 25 37 44 35 20 8 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 1 3 4 5 7 9 14 19 21 22 26 26 25 24 20 14 8 4 1 0 0 0 0 1 2 1 1 2 3 2 0 0 1 9 33 72 82 58 21 5 1 0 0 0 0 0 0 0 0 0 0 0 4 18 42 57 58 43 19 22 67 142 218 247 141 69 67 127 201 234 227 208 214 286 349 396 445 482 463 366 217 91 35 52 93 96 66 32 47 144 426 502 182 23 3 1 3 14 57 143 208 187 93 13 2 0 0 2 11 32 58 88 115 137 156 174 166 123 126 124 101 72 49 40 15 4 2 2 2 2 3 3 3 3 19 29 29 22 16 15 12 12 16 20 48 78 91
12 20 24 17 14 12 10 16 27 40 48 45 26 13 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 4 7 10 12 14 17 21 23 23 23 24 25 28 29 28 21 11 7 4 3 3 3 4 5 4 2 1 4 7 8 4 3 1 4 16 44 77 82 57 21 6 1 0 0 0 0 0 0 0 0 0 0 3 11 29 47 59 49 25 12 39 104 189 247 190 98 104 170 248 289 269 224 226 327 522 545 514 483 479 462 338 211 123 95 128 139 117 86 79 138 353 345 138 6 2 1 3 21 71 160 285 297 184 18 8 3 1 3 9 31 55 77 98 115 122 121 108 100 144 188 183 160 140 136 79 37 13 4 3 1 2 2 2 3 39 58 54 36 22 19 15 14 17 23 41 65 81
8 14 21 19 16 13 12 16 27 41 50 48 29 15 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 7 10 14 16 19 22 24 28 27 26 26 28 33 35 30 22 22 19 16 16 15 14 13 10 7 6 12 19 23 21 15 11 7 6 13 32 56 59 40 16 5 1 0 0 0 0 0 0 0 0 0 1 7 19 38 55 46 27 15 23 67 137 210 230 115 122 191 277 327 303 245 250 356 546 566 524 492 493 525 452 333 240 192 193 199 181 145 117 135 239 182 75 7 2 3 8 30 80 162 295 308 206 59 13 3 1 2 6 26 50 68 79 85 92 59 49 81 161 252 273 259 240 229 183 102 39 8 4 2 2 3 3 6 32 49 47 33 19 12 10 11 20 40 68 83 79
7 11 16 19 17 14 13 15 23 36 47 48 37 19 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 1 1 2 3 3 5 8 13 17 21 26 33 30 27 27 29 34 40 41 44 51 49 44 40 36 32 27 19 15 16 21 36 51 55 52 56 33 16 8 8 18 28 27 16 4 1 0 0 0 0 0 0 0 1 2 10 27 42 55 69 50 29 15 12 26 64 138 175 98 100 158 231 281 277 239 258 368 519 557 511 484 495 526 502 425 356 306 278 254 218 176 144 147 229 159 79 29 23 25 31 48 98 202 403 418 263 84 17 5 1 1 8 23 41 55 66 76 82 48 83 155 242 316 337 329 312 278 201 102 34 4 2 3 5 6 6 5 4 9 13 15 13 5 11 26 59 106 154 120 73
8 9 13 15 15 14 13 13 17 26 39 50 45 28 13 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 1 1 1 2 6 13 20 23 29 34 30 26 25 28 33 41 52 64 75 80 69 57 50 45 40 27 24 25 31 52 90 113 122 124 81 44 18 6 3 7 6 4 1 0 0 0 0 0 0 0 0 11 34 69 97 80 60 59 40 24 12 6 4 9 33 46 33 32 53 76 91 104 105 130 199 278 328 356 403 466 500 493 475 443 391 334 282 241 208 196 212 258 213 152 112 100 100 89 105 165 276 442 425 235 86 43 9 2 1 5 12 25 43 76 93 96 123 206 275 311 306 291 307 316 277 173 68 18 2 2 4 6 8 9 8 6 3 2 4 11 20 31 69 130 196 237 153 78
10 8 10 11 13 13 12 11 13 19 33 51 53 41 23 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 4 2 1 0 0 0 0 0 3 8 16 24 29 37 39 34 29 26 26 32 45 73 89 93 87 70 51 41 36 33 33 37 40 49 67 95 106 151 167 126 99 64 29 7 0 0 0 0 0 0 0 0 0 0 0 1 31 78 123 112 44 16 16 12 7 3 1 0 0 0 0 0 0 0 0 0 4 12 20 36 54 80 123 198 285 359 418 474 457 416 365 310 265 226 210 216 233 242 228 212 202 190 139 169 247 335 406 417 334 196 87 19 3 0 2 10 25 57 112 125 153 263 316 288 233 177 149 195 249 247 180 82 16 2 3 4 6 8 9 9 9 7 4 3 10 26 37 69 112 139 128 78 49
11 8 8 10 11 12 11 10 10 16 28 46 61 53 35 17 6 2 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 7 9 7 4 1 0 0 0 0 0 3 10 17 25 32 40 42 39 34 30 32 41 59 86 85 68 53 40 29 27 31 41 53 55 55 60 75 98 111 121 135 154 188 168 96 32 1 0 0 0 0 0 0 0 0 0 1 4 24 45 43 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 28 61 112 166 242 324 375 379 360 328 286 245 187 174 197 227 249 262 271 239 155 191 274 345 389 410 429 238 85 19 1 0 3 19 61 151 147 201 261 310 285 178 94 46 42 78 148 191 181 118 30 24 38 51 52 31 14 9 11 11 8 6 10 22 39 54 55 60 60 44 40
11 8 8 10 13 16 14 11 9 12 24 42 60 67 51 29 13 5 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 10 8 5 2 0 0 0 0 0 1 6 14 23 32 41 43 42 41 43 44 49 54 54 43 28 18 13 12 17 33 43 49 51 50 49 52 60 74 64 82 124 186 227 170 72 11 1 0 0 0 0 0 0 1 3 5 4 3 1 0 0 0 0 0 0 0 1 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 30 53 49 56 90 145 221 289 320 318 284 217 182 182 205 237 266 302 256 173 194 266 320 340 322 287 128 41 9 0 1 16 54 132 256 283 330 319 252 150 61 19 4 6 20 76 122 133 100 37 63 107 127 112 61 17 7 9 11 12 11 12 18 30 39 29 28 29 29 37
13 9 8 9 14 19 16 13 10 10 17 33 55 73 69 48 25 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 9 7 4 2 1 1 1 2 2 5 12 21 30 39 48 49 49 47 45 44 44 33 18 7 3 2 5 9 14 16 18 22 26 28 32 33 34 35 45 61 102 157 190 102 31 4 0 0 0 0 0 2 6 15 13 5 0 0 0 0 0 0 0 16 34 41 38 46 48 45 37 33 24 14 5 1 0 0 0 0 0 2 8 19 32 13 5 8 24 64 143 235 300 319 274 220 189 193 220 256 301 245 182 188 227 256 256 202 101 35 10 2 2 10 63 196 306 375 425 331 225 129 53 8 2 0 3 13 41 57 50 35 28 63 80 79 61 32 11 9 11 13 13 13 11 10 13 20 30 29 29 32 38
15 11 8 8 11 15 16 13 10 9 11 22 45 67 75 61 35 16 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 10 10 6 4 3 3 3 4 4 5 9 20 30 37 42 43 36 31 28 27 25 14 6 2 0 0 2 6 8 5 2 6 12 18 22 25 31 37 36 32 61 122 188 198 92 26 5 0 0 0 1 4 12 17 12 5 0 0 0 0 0 6 41 173 249 236 154 145 165 162 133 119 98 66 36 16 6 2 0 0 0 0 2 6 9 2 1 0 2 10 33 100 204 281 303 291 264 242 236 244 242 179 139 134 144 142 127 80 22 6 1 1 8 35 111 325 457 469 372 222 106 38 7 0 0 0 2 8 14 13 6 2 8 22 21 17 11 8 9 12 13 14 15 15 16 17 18 21 34 33 33 35 37
16 14 9 7 11 17 17 14 11 9 10 16 35 59 74 73 52 26 11 5 2 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 11 11 9 5 3 4 4 4 4 6 13 22 29 32 29 24 18 15 14 12 8 3 2 0 0 2 4 7 6 1 1 5 10 16 23 33 51 73 83 58 71 135 228 304 231 101 29 4 0 0 2 5 10 8 4 2 0 0 0 0 0 98 349 632 665 477 227 142 166 168 152 147 148 133 107 78 50 35 24 20 19 16 7 2 1 0 0 0 0 1 5 18 91 193 284 341 337 293 254 213 147 100 82 76 73 59 46 26 8 5 3 4 18 61 150 348 447 406 262 111 37 8 0 0 0 0 0 1 1 0 0 0 0 1 3 4 4 5 8 12 13 13 14 16 20 26 39 49 37 34 36 39 39
17 15 11 6 4 13 17 16 12 9 9 12 23 49 71 79 70 44 21 9 4 2 1 1 0 0 2 2 1 1 0 0 0 2 4 4 8 10 10 7 5 5 5 3 4 4 6 11 17 17 13 10 9 12 14 7 1 0 0 0 0 2 4 5 4 2 3 5 10 17 25 35 57 88 107 98 92 135 220 305 331 187 76 18 0 0 2 3 3 1 0 0 0 0 0 0 4 342 806 977 731 409 168 86 43 40 55 85 121 156 163 138 105 87 86 85 76 58 23 7 1 0 0 0 0 0 0 2 24 119 260 392 441 332 224 142 87 74 74 68 52 27 26 31 49 63 49 33 50 108 203 335 350 278 167 66 16 4 1 1 2 1 1 1 1 0 0 0 6 26 75 96 71 32 5 9 11 12 15 19 25 32 60 78 51 42 41 43 43
17 15 11 7 5 10 12 13 13 11 9 9 17 36 65 82 82 64 35 16 8 4 2 1 0 0 1 3 2 0 0 0 0 2 3 3 8 12 13 12 11 11 7 5 5 6 7 10 11 11 10 13 15 15 13 4 0 0 0 0 0 1 2 4 3 2 2 3 6 8 12 18 29 45 52 53 52 65 111 171 204 159 83 26 2 0 0 0 0 0 0 0 0 0 0 2 43 405 685 722 480 333 313 252 89 51 76 137 206 256 202 131 87 81 101 130 137 112 56 13 2 0 0 0 0 0 0 0 2 42 139 264 361 314 228 170 129 93 84 75 54 32 34 49 98 132 121 93 109 173 232 245 201 154 121 101 86 49 25 20 25 17 8 3 1 1 2 6 29 86 178 243 217 110 12 8 9 11 15 23 33 42 53 55 44 37 37 40 42
16 14 10 6 4 6 11 14 14 12 9 8 12 27 54 80 92 83 57 26 14 7 4 2 1 0 0 1 0 1 1 0 0 1 2 4 8 14 18 18 14 10 10 10 9 9 9 11 11 11 16 25 23 16 6 1 0 0 0 0 0 1 3 4 2 1 0 0 1 1 2 2 4 6 7 10 14 16 24 38 43 35 16 5 1 0 0 0 0 0 0 0 0 0 0 57 242 651 901 903 668 441 355 268 136 110 232 398 479 452 234 104 53 57 90 143 195 196 136 37 10 2 0 0 0 0 0 0 1 7 38 98 173 236 193 113 63 59 79 85 71 60 64 61 95 127 143 139 145 168 175 156 129 161 220 277 301 231 180 146 115 74 34 9 1 3 11 18 38 82 151 225 217 118 31 11 9 10 13 19 27 38 32 26 26 28 34 41 44
17 15 12 6 3 4 9 18 18 14 11 11 9 20 42 71 94 97 77 47 22 11 6 3 2 0 0 0 0 2 2 1 0 0 0 2 6 11 18 23 22 16 12 12 11 10 10 11 10 15 22 31 27 17 7 2 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 8 47 197 511 815 992 928 611 216 179 78 18 1 1 26 128 224 217 104 81 106 158 218 270 300 239 113 36 8 0 0 0 0 0 0 0 0 5 25 67 120 121 67 76 125 164 156 140 124 104 67 68 83 99 113 128 156 158 161 188 272 391 486 495 380 250 167 114 75 40 12 2 3 8 13 16 28 51 81 95 51 17 7 7 9 11 16 22 26 24 24 26 30 35 45 48
16 15 13 9 3 3 8 14 18 16 13 11 10 14 33 60 88 104 94 70 40 17 8 5 3 1 1 1 2 3 3 1 0 0 1 3 7 13 19 24 21 18 15 13 12 10 10 10 10 16 21 23 20 12 8 5 1 0 0 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 47 191 305 329 345 326 237 157 347 130 30 0 0 1 10 47 95 108 122 158 210 263 294 327 295 205 95 28 5 0 0 0 0 0 0 0 0 5 22 67 145 172 192 204 220 235 245 195 126 56 26 31 51 85 136 230 261 263 267 298 379 463 441 310 205 128 72 37 16 4 1 0 0 0 0 1 4 9 16 8 4 4 6 8 8 10 15 23 25 28 32 37 41 49 48
19 19 17 13 6 4 5 10 15 15 12 10 10 10 21 46 76 102 109 93 60 28 10 6 4 3 2 4 4 3 2 1 0 0 0 2 6 12 20 29 32 25 18 14 11 10 9 10 11 16 16 15 14 11 9 5 2 1 1 2 4 5 4 2 0 0 0 0 0 0 1 0 0 1 2 4 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 21 103 133 90 26 61 127 131 122 50 15 0 0 1 8 57 104 132 130 143 178 223 267 288 296 258 181 95 37 8 0 0 0 0 0 0 0 1 5 29 68 96 127 154 167 173 192 160 98 38 6 16 50 103 176 273 306 290 269 271 328 372 318 213 145 91 46 16 1 0 0 0 0 0 0 0 0 2 4 4 3 4 6 7 6 7 14 26 30 32 35 39 43 50 44
21 22 20 15 10 7 7 10 13 14 13 10 9 9 13 33 63 93 113 113 76 41 16 6 4 4 5 6 4 2 2 1 0 0 0 1 3 9 16 25 34 29 20 14 10 8 8 9 10 12 11 10 9 9 8 6 3 2 2 3 3 3 2 1 0 0 0 0 1 2 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 11 17 14 7 20 109 375 236 44 9 29 28 14 6 14 86 102 96 86 97 147 210 255 267 252 258 250 212 141 55 13 1 0 0 0 0 0 0 1 5 14 26 45 60 65 74 92 58 32 12 6 23 66 120 185 252 259 252 256 279 324 276 201 133 89 55 27 9 0 0 0 0 0 0 0 0 0 29 67 60 31 11 4 4 3 5 14 26 34 34 34 36 40 46 38
21 21 20 16 13 10 9 10 12 13 12 10 9 9 12 23 50 83 110 119 93 52 23 7 5 6 6 6 4 2 2 2 1 0 0 0 2 7 14 23 32 37 22 13 9 7 7 7 7 7 6 6 6 5 5 5 3 3 3 3 3 2 1 1 0 0 1 2 4 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 44 46 45 86 220 326 244 115 71 59 34 27 49 82 65 45 42 69 138 209 220 181 169 214 274 312 296 184 77 20 3 0 0 0 0 0 0 0 1 3 5 6 5 7 12 5 1 8 26 55 100 156 204 236 255 270 279 277 257 183 129 86 55 29 11 3 0 0 0 0 0 0 0 0 5 116 238 252 195 119 48 3 2 4 13 25 33 35 32 36 41 41 34
20 21 20 18 16 13 11 11 11 11 11 10 10 9 10 19 40 75 106 118 104 64 31 12 5 6 6 5 4 3 2 1 1 0 0 0 2 6 11 19 32 36 24 15 9 6 5 4 3 4 4 4 4 3 3 4 4 4 4 4 4 3 2 2 1 0 1 3 5 7 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 10 14 60 80 95 179 376 391 247 119 55 38 25 39 48 27 16 14 28 64 127 167 137 100 105 182 282 363 404 374 211 96 31 4 0 0 0 0 0 0 0 0 0 0 0 6 8 3 0 8 29 61 98 142 186 239 299 322 271 203 137 87 68 49 29 12 2 0 0 0 0 0 0 0 0 2 49 224 375 420 417 387 186 2 1 3 12 23 32 35 30 37 42 38 29
19 21 21 20 19 16 13 12 12 12 12 11 10 9 8 16 35 65 101 119 109 76 37 14 5 5 6 6 6 5 3 1 0 0 0 2 3 5 9 16 29 29 23 17 11 6 4 3 3 4 4 5 4 3 3 5 7 9 9 7 6 5 3 2 1 0 0 2 4 6 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 32 318 299 224 201 173 138 226 297 142 178 152 93 42 29 46 47 34 18 8 8 24 52 74 47 38 68 142 249 352 437 472 374 227 110 37 5 1 0 3 6 3 1 0 1 2 6 36 40 17 0 1 7 21 47 87 135 192 245 257 169 98 50 28 23 17 10 3 0 0 0 0 0 0 0 0 0 21 160 271 333 363 405 470 209 5 0 3 12 23 32 37 34 41 41 33 23
19 21 22 21 19 17 15 13 13 14 14 12 10 9 9 14 30 57 95 125 115 85 47 17 7 4 6 8 8 6 3 0 0 0 1 2 3 4 7 14 23 23 21 17 11 7 5 4 3 5 6 7 6 5 6 10 13 15 13 10 8 6 4 2 0 0 0 0 2 3 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 98 402 314 247 216 201 159 244 239 154 196 185 135 79 49 53 73 64 40 17 4 2 4 7 3 22 60 124 219 337 443 490 444 301 179 93 44 24 6 4 6 3 0 0 1 5 16 41 36 16 0 0 0 0 4 23 48 58 58 58 81 59 30 10 3 2 1 0 0 0 0 0 0 0 0 1 10 63 228 255 249 247 273 316 126 15 1 3 12 25 37 45 42 43 39 31 21
18 20 21 20 18 17 16 14 14 14 15 13 12 11 11 14 25 49 84 121 122 94 58 25 6 5 7 9 10 7 3 0 0 0 1 1 1 2 6 11 16 18 18 16 13 10 9 5 3 4 7 8 9 9 11 14 15 15 12 9 7 5 4 2 1 1 1 1 1 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 27 210 472 299 158 97 94 120 237 276 219 163 170 157 105 46 13 66 79 57 21 3 0 0 1 5 67 135 210 296 407 481 440 326 203 130 93 79 70 48 35 26 15 6 2 1 2 5 10 7 3 0 0 0 1 0 1 5 19 49 103 173 105 50 15 1 0 0 0 0 0 0 0 0 0 0 6 70 141 196 197 177 155 134 102 36 7 1 4 12 22 31 37 38 40 36 28 19
17 20 21 20 17 16 15 14 13 13 13 13 12 10 12 16 20 37 72 108 124 102 67 33 10 5 6 10 11 8 3 1 0 0 1 0 0 1 5 9 13 15 16 15 13 11 10 4 2 2 4 7 8 9 10 11 10 9 7 6 5 4 3 2 1 1 1 1 1 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 59 324 507 345 189 163 190 209 169 456 416 233 95 69 43 18 4 18 54 59 36 1 0 0 19 64 153 249 338 429 529 461 283 131 52 34 49 88 126 141 140 98 51 17 13 4 0 0 0 0 0 0 0 0 0 0 0 2 13 47 126 213 107 48 15 2 0 0 0 0 0 0 0 0 2 12 51 119 147 126 86 59 44 29 8 2 1 2 6 13 22 32 36 36 35 31 24 17
16 18 19 18 17 14 13 12 11 11 12 12 11 9 11 14 18 28 60 98 118 109 77 43 19 8 7 9 11 10 6 1 0 0 2 1 0 1 4 8 11 12 13 13 13 12 8 2 0 0 1 2 4 4 5 5 4 3 3 3 3 3 2 2 1 0 0 0 1 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 40 201 291 305 323 325 272 191 133 490 424 245 76 15 6 2 1 7 59 95 84 32 1 3 44 100 160 239 309 337 312 202 100 33 3 4 24 81 133 169 211 183 131 89 70 24 7 2 0 0 0 0 0 0 0 0 0 1 5 22 65 92 54 21 5 0 0 0 0 0 0 0 0 1 6 28 102 102 80 48 17 3 0 0 0 0 0 2 7 13 21 24 27 29 31 27 20 13
13 16 18 17 16 13 12 11 10 9 10 13 12 10 11 11 13 20 36 80 109 112 90 53 23 8 6 9 11 10 8 3 2 1 1 0 1 3 5 8 9 10 11 13 14 12 8 3 1 0 0 0 1 1 2 3 3 3 3 3 3 3 3 2 1 0 0 0 0 1 3 4 4 2 1 0 0 0 0 0 0 0 0 1 5 3 1 0 0 0 2 9 40 108 282 496 551 167 44 66 185 177 133 80 41 7 1 0 11 50 141 194 139 0 1 17 36 52 71 95 76 36 7 2 2 0 1 6 33 59 97 165 203 212 195 162 84 53 27 9 0 0 0 0 0 0 0 0 0 1 11 100 147 126 62 15 0 0 0 0 0 0 0 0 3 17 49 104 89 64 38 16 1 0 0 0 0 1 3 7 12 16 19 23 27 28 23 15 9
12 14 16 17 16 13 11 11 10 10 9 12 11 10 10 10 10 15 31 67 104 113 96 60 24 9 6 8 9 9 6 2 0 0 0 0 1 2 4 5 6 7 9 11 13 13 9 5 1 0 0 0 1 1 1 1 2 3 4 5 5 6 8 6 4 1 0 0 0 1 2 3 4 4 3 2 0 0 0 0 0 0 1 4 22 12 4 0 0 0 0 1 7 50 188 341 382 56 7 26 52 69 121 144 105 24 6 5 34 94 194 251 142 1 0 1 3 4 5 6 3 1 0 0 0 0 0 0 0 8 32 68 105 130 149 137 94 101 65 25 0 0 1 1 1 0 0 0 1 3 10 219 302 261 138 30 2 0 0 0 0 0 0 1 3 14 33 55 66 50 23 2 0 0 0 1 1 2 5 8 11 14 16 21 25 25 18 12 9
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