Vorticity
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nan 8 9 10 10 10 9 9 10 12 14 15 13 12 10 9 7 5 3 1 1 3 4 4 4 4 5 9 12 12 11 11 11 10 9 8 8 10 13 16 19 19 17 15 12 10 9 9 9 11 13 15 16 17 17 15 12 9 7 7 8 10 11 11 10 8 6 4 5 7 7 7 7 7 8 8 7 4 3 3 5 7 8 8 6 5 6 8 9 9 9 9 8 8 10 12 12 10 9 12 14 14 11 8 6 5 6 7 6 4 3 5 9 12 13 8 3 1 2 5 9 14 17 16 12 9 12 18 19 15 9 4 -1 -5 -4 -0 7 15 17 15 11 9 8 9 10 9 7 7 7 8 8 9 9 9 8 7 6 7 8 8 5 1 -1 0 3 5 5 6 8 10 11 12 12 12 11 11 10 9 8 8 7 7 7 7 8 8 9 9 10 10 nan
nan 4 5 6 7 8 8 9 10 12 15 15 13 11 9 7 6 4 3 2 2 4 6 6 6 6 7 10 12 12 11 10 10 11 11 11 11 12 14 16 18 16 12 8 4 2 5 9 12 14 14 13 14 15 17 17 14 10 7 6 8 10 11 11 9 7 4 4 6 8 8 7 7 7 8 8 6 3 3 4 6 8 9 9 7 6 6 7 9 10 10 9 7 7 9 14 16 15 13 12 12 11 8 4 -1 -2 1 5 6 6 6 6 9 12 12 6 -1 -5 -5 -2 3 10 15 16 15 17 22 26 23 16 9 3 -1 -5 -7 -6 -1 6 12 13 11 9 6 6 6 6 7 8 8 7 7 7 9 10 11 11 9 9 9 8 6 2 0 1 2 2 2 2 4 6 8 10 11 10 10 9 8 7 6 6 6 6 7 7 7 8 9 9 10 10 nan
nan 4 4 4 4 4 5 7 10 13 15 14 12 10 8 6 5 4 3 2 2 4 6 9 10 10 10 10 11 11 10 9 9 10 11 12 12 13 16 19 19 16 11 6 3 1 4 9 14 16 15 14 13 14 16 17 14 10 8 8 10 11 11 10 8 6 5 6 8 9 9 7 6 6 7 6 4 2 3 5 7 8 9 9 8 7 7 7 9 10 10 10 8 6 8 13 16 16 15 13 12 10 6 1 -5 -7 -3 2 6 8 8 8 11 13 13 9 2 -5 -7 -6 -1 5 10 12 13 16 21 23 19 13 8 6 5 2 -0 0 3 6 8 8 8 8 7 7 7 7 7 8 7 6 5 6 9 12 14 15 15 13 12 11 9 7 5 4 3 2 1 1 1 3 5 7 8 8 7 6 6 5 5 5 6 6 6 7 8 8 8 9 9 9 nan
nan 7 5 3 2 1 2 4 9 12 13 12 10 8 6 5 5 4 3 2 2 4 7 9 11 10 10 9 8 8 8 8 9 9 11 12 12 13 16 19 19 16 12 9 7 6 7 10 15 17 18 17 16 15 16 16 13 11 10 10 10 10 10 9 8 7 7 8 9 9 8 6 5 5 5 5 3 2 3 5 7 8 9 9 9 9 8 8 8 9 10 10 9 7 6 9 12 13 13 13 12 9 5 1 -3 -5 -2 2 5 8 10 10 12 14 14 11 6 -0 -5 -5 -3 1 5 9 11 13 16 16 13 10 8 9 10 9 8 11 13 13 11 9 8 8 9 9 10 9 7 6 5 5 5 7 11 15 17 18 17 16 15 14 13 11 9 6 5 3 2 1 1 2 3 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 nan
nan 8 5 3 0 -1 -0 3 8 11 12 10 8 7 6 6 5 5 4 4 4 5 7 8 9 9 8 7 5 5 6 8 9 10 10 10 10 11 14 16 16 15 13 11 10 10 11 13 15 16 17 17 17 17 16 15 14 13 13 12 11 9 8 9 8 7 8 10 10 8 6 5 5 5 6 5 3 3 4 7 9 9 9 9 9 10 10 9 8 8 8 10 10 8 7 7 9 11 11 11 11 10 8 5 2 -1 -0 3 7 11 12 12 12 12 11 10 8 4 1 -1 -2 -1 1 4 8 11 12 11 8 6 7 10 12 12 12 15 17 18 16 13 11 9 7 7 8 9 7 4 3 3 5 7 12 16 17 18 17 17 16 16 16 14 10 8 6 5 4 3 2 2 2 3 3 3 4 4 5 5 6 6 7 7 8 8 8 8 8 8 8 8 nan
nan 8 6 2 -1 -2 -0 4 8 12 12 11 9 9 9 9 8 7 6 6 6 7 8 8 8 8 7 5 4 4 7 9 10 10 9 9 9 9 10 12 14 14 14 13 13 13 13 13 12 12 13 14 15 16 15 14 14 15 16 15 12 10 9 9 8 8 9 10 11 9 7 5 5 7 7 5 4 4 5 8 10 10 9 8 9 10 10 9 8 7 7 9 10 9 8 8 9 9 10 10 11 13 13 10 6 3 2 6 11 14 15 13 11 9 8 7 7 7 6 4 2 1 -0 0 3 6 8 7 4 2 3 7 9 9 9 12 15 16 15 14 12 7 4 3 4 5 5 3 2 3 4 6 10 13 14 15 16 17 18 19 18 15 11 9 7 6 5 4 3 2 1 1 1 3 4 5 6 7 7 8 8 9 9 9 9 9 8 8 8 8 nan
nan 8 6 2 -0 -0 1 5 9 11 13 12 12 13 13 13 11 9 7 6 7 8 9 9 9 8 7 6 6 7 9 10 11 10 9 8 7 7 7 8 10 12 13 13 14 14 13 10 8 8 9 11 13 14 14 13 13 14 15 15 13 11 10 9 8 8 9 10 11 10 7 6 6 7 8 6 4 5 6 7 8 9 8 8 8 9 10 9 8 7 7 8 10 10 9 8 8 8 8 9 10 12 14 11 7 5 5 9 14 16 16 12 9 7 6 6 8 10 10 9 8 6 4 3 2 3 4 4 4 2 2 2 3 3 4 6 9 12 13 12 9 5 3 3 4 5 5 4 4 4 4 5 6 8 9 11 14 16 19 20 18 15 12 10 8 7 6 5 4 2 1 1 2 3 4 6 7 8 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 8 6 2 1 1 3 5 8 10 12 14 14 15 14 13 12 9 8 8 8 10 10 10 9 8 8 9 10 11 11 10 10 10 9 8 7 6 5 5 6 7 8 10 12 12 9 5 3 3 7 11 14 15 14 12 12 12 13 13 12 10 9 8 7 8 9 10 10 9 7 5 6 7 7 6 5 4 5 5 6 8 8 8 8 8 9 9 8 7 7 7 9 11 10 8 7 6 6 7 7 9 10 10 8 8 9 11 13 14 12 9 6 5 5 7 9 11 13 13 12 12 10 8 6 6 6 7 7 6 4 1 0 0 0 2 5 8 10 9 7 5 4 6 7 7 7 6 7 7 6 5 4 5 6 7 10 13 15 16 16 14 12 11 9 8 7 6 5 3 3 3 3 4 5 6 8 9 10 10 10 9 10 10 9 9 9 9 8 8 nan
nan 8 5 2 1 2 4 5 7 10 12 14 15 14 12 11 10 9 9 10 11 12 12 10 8 8 8 10 12 12 10 9 9 10 9 9 8 6 5 4 3 3 4 7 9 9 6 1 -1 1 6 12 16 17 15 13 12 12 12 11 9 8 7 6 7 8 10 10 9 8 6 5 5 7 7 6 5 3 4 5 6 8 9 9 9 9 9 9 8 7 7 7 8 9 9 7 6 5 5 5 6 7 9 11 11 11 10 10 9 9 7 5 4 5 7 9 11 12 13 12 13 13 14 13 11 10 10 13 14 12 8 4 3 2 1 1 2 5 8 8 7 6 6 8 9 9 8 8 10 10 8 6 4 4 4 5 7 10 12 12 12 12 11 10 9 8 7 6 5 5 5 6 6 6 6 7 8 9 9 10 9 9 9 9 9 9 9 9 8 8 nan
nan 8 4 2 1 2 4 6 7 9 12 14 14 12 11 10 9 9 9 11 13 14 13 11 8 5 6 7 9 10 9 8 9 10 11 10 9 8 8 6 3 2 3 5 8 9 7 4 3 4 8 13 17 18 17 16 16 15 13 11 9 8 6 6 7 8 9 9 8 7 5 5 6 8 8 7 5 4 4 5 7 10 13 12 10 10 10 10 10 9 7 7 6 7 6 5 4 4 4 5 7 10 13 14 13 11 8 7 6 6 5 4 5 8 12 16 17 16 13 12 12 13 14 15 14 14 14 15 16 15 13 11 9 8 6 5 6 6 7 7 8 9 9 10 10 9 9 9 11 11 9 6 4 3 3 4 6 9 10 10 10 10 10 9 8 7 7 7 7 7 7 8 8 8 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 nan
nan 7 2 0 1 2 4 7 8 9 10 12 13 13 12 10 9 8 8 9 11 13 13 10 6 2 0 3 6 8 8 9 10 11 12 11 10 10 10 8 5 2 2 4 7 11 14 14 12 12 13 14 16 17 17 17 18 18 17 14 11 9 7 7 8 9 9 9 9 7 6 6 6 8 9 8 7 6 4 4 6 11 15 15 12 10 10 11 12 12 10 7 6 6 5 4 3 3 4 6 11 15 17 16 13 9 7 7 7 8 7 7 10 14 19 22 23 20 16 13 13 13 14 14 14 14 14 14 14 14 15 15 13 11 10 10 10 9 7 7 9 12 14 13 12 10 8 8 8 8 7 5 4 4 4 3 6 8 9 10 10 10 9 8 7 7 7 8 8 9 9 10 9 8 7 6 7 8 8 8 8 8 7 8 8 9 9 9 9 9 nan
nan 5 2 1 3 5 6 8 8 8 9 11 13 14 13 11 9 8 8 9 11 11 11 8 4 1 -0 3 7 9 10 11 11 12 11 11 10 11 11 9 6 2 1 3 7 14 21 24 22 20 18 15 14 14 14 16 18 19 19 17 13 10 8 8 9 9 10 10 9 8 7 6 6 7 9 10 10 9 7 4 6 11 16 18 14 10 9 10 12 14 12 9 7 6 6 5 4 5 6 9 12 16 16 14 11 9 8 9 11 11 11 11 12 14 17 20 22 20 18 16 15 15 13 11 10 10 10 10 10 13 15 14 12 10 10 10 10 7 5 7 10 14 16 15 14 11 9 8 6 4 4 5 5 5 5 6 9 10 11 11 12 11 10 9 8 8 9 9 10 11 11 11 10 8 6 5 5 6 7 7 7 7 7 8 8 9 9 9 9 9 nan
nan 4 5 6 8 9 10 9 9 8 8 12 14 14 12 9 7 8 10 12 11 10 10 9 7 5 5 6 9 11 12 13 13 11 10 9 10 12 12 10 6 3 1 3 8 15 21 25 25 22 19 16 13 12 13 15 17 18 18 17 14 12 10 10 10 10 10 10 10 9 7 6 5 6 8 10 11 10 8 6 7 12 18 19 16 10 7 8 10 13 12 9 7 6 6 6 6 9 11 13 13 13 13 11 10 9 9 11 12 12 11 9 7 7 8 11 13 15 16 17 17 15 13 10 7 5 4 5 7 9 10 9 7 7 8 8 6 5 5 8 11 14 16 15 14 13 10 8 5 4 3 4 4 5 7 10 13 14 14 15 15 15 13 11 10 10 10 11 11 11 11 11 10 7 5 4 4 5 6 7 8 8 8 8 9 9 9 9 9 9 nan
nan 6 9 11 12 13 13 11 9 8 9 12 13 11 8 6 6 8 11 12 11 9 10 11 11 11 10 8 8 10 12 13 13 12 10 9 10 11 11 9 6 3 2 4 8 13 16 18 18 18 16 14 12 11 12 13 14 15 16 16 14 13 11 10 10 9 10 11 11 10 8 6 5 5 6 8 9 9 8 8 9 14 19 20 17 11 7 5 7 9 10 8 6 5 5 5 6 9 12 14 13 12 11 10 8 7 7 8 9 8 7 4 0 -2 -1 2 6 9 11 13 14 13 12 10 7 4 3 4 6 7 6 5 4 5 6 6 5 6 9 11 12 12 12 11 11 11 10 8 6 4 3 3 3 5 8 12 13 14 15 16 17 17 16 14 12 11 11 11 11 10 10 10 9 7 6 5 4 5 6 8 8 9 9 9 9 9 9 9 9 8 nan
nan 7 10 13 14 14 13 11 9 7 8 11 12 9 7 6 7 9 11 11 10 8 9 11 13 12 11 8 6 7 8 10 12 12 12 11 11 10 9 7 5 4 4 5 8 9 10 10 10 11 11 11 10 10 10 11 12 13 14 15 15 14 12 11 10 9 9 10 10 10 8 6 5 5 6 6 7 7 8 9 12 17 20 20 17 12 7 4 5 7 8 7 5 4 4 4 5 6 8 9 9 9 10 9 7 5 4 3 3 3 2 -1 -4 -6 -5 -1 3 5 6 8 9 9 9 9 8 6 5 7 8 8 6 5 4 4 5 5 5 7 9 11 10 7 5 4 4 7 8 8 7 6 3 2 1 3 7 10 11 11 12 13 15 16 15 13 11 10 10 9 9 9 9 9 9 9 8 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 nan
nan 8 10 12 13 13 13 11 8 6 8 11 13 12 10 9 8 9 11 12 11 9 8 9 11 11 10 8 6 6 6 7 9 10 11 11 10 9 7 5 4 5 5 6 7 7 7 7 6 7 7 7 7 7 8 9 10 12 14 15 16 14 12 11 10 9 9 10 10 9 7 6 6 6 5 5 6 7 9 11 14 18 20 19 16 12 7 4 4 5 6 6 6 6 6 6 7 6 4 4 6 8 9 8 7 5 3 1 -2 -2 -2 -2 -4 -5 -3 1 4 6 6 6 6 5 5 6 6 6 7 9 11 11 9 7 5 5 4 4 4 4 4 5 4 2 0 -0 1 4 7 9 9 8 4 1 0 2 4 6 6 6 6 7 8 9 9 8 8 7 7 7 7 8 8 9 10 10 10 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 nan
nan 8 10 11 12 13 12 10 8 6 8 11 13 13 11 9 7 7 9 11 12 10 8 7 8 9 9 8 8 7 7 7 7 8 9 9 8 7 5 4 4 5 6 6 6 6 6 6 5 5 4 3 2 3 5 7 9 11 12 14 15 14 12 10 10 10 10 11 10 8 7 7 8 8 7 6 7 7 8 11 15 18 20 19 16 13 9 6 4 4 5 6 8 10 11 11 9 6 3 5 8 11 11 10 8 7 6 3 1 -2 -3 -2 -1 1 3 7 10 12 11 10 8 6 5 4 4 4 7 11 13 14 12 9 6 5 5 4 2 1 -0 -1 -1 -0 -0 1 4 8 10 12 12 10 6 2 1 1 1 1 -0 -2 -2 -1 -0 1 2 4 4 5 6 6 7 8 9 10 11 12 12 12 11 11 9 9 8 8 7 7 7 8 8 8 9 9 nan
nan 9 10 11 12 12 12 10 8 7 8 10 11 10 7 4 2 2 4 7 9 9 8 6 6 6 7 7 9 9 9 8 8 8 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 4 2 1 0 2 5 7 9 11 12 13 13 12 10 8 8 9 11 12 13 11 8 7 8 10 10 8 7 7 7 10 14 18 20 20 18 15 11 8 5 4 5 7 11 14 16 15 10 6 4 7 12 14 14 12 9 10 10 9 8 6 4 3 4 7 10 14 17 18 19 18 16 13 10 7 4 4 7 12 15 16 14 10 7 6 5 5 2 -0 -2 -2 -1 0 2 4 7 10 13 15 15 11 6 2 1 -0 -1 -3 -6 -9 -10 -9 -6 -3 -1 2 3 5 6 7 7 8 9 10 11 11 12 12 12 11 10 9 8 8 7 8 8 9 9 9 9 10 nan
nan 8 8 10 12 12 11 10 9 8 8 8 8 6 4 1 -1 -1 1 4 6 8 8 8 7 6 6 7 8 9 10 9 10 10 10 10 8 7 6 6 6 6 5 5 5 5 5 5 5 4 3 3 3 4 7 10 11 12 12 12 11 10 8 7 6 7 10 13 15 14 10 8 8 11 11 10 7 6 6 7 11 15 18 20 19 18 14 11 8 5 6 10 15 18 19 15 10 6 5 7 10 13 13 13 12 13 14 14 13 13 11 9 9 11 15 17 19 20 22 23 22 18 14 10 7 4 6 10 14 16 14 11 8 7 7 6 4 1 0 0 1 2 3 4 6 9 12 14 14 9 5 2 -0 -2 -4 -7 -10 -12 -13 -11 -9 -5 -2 1 3 5 7 7 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 nan
nan 8 7 9 12 13 12 11 9 8 8 7 7 7 6 3 1 0 1 3 5 8 11 11 10 8 7 7 9 10 10 10 10 11 12 12 11 9 8 7 7 6 6 5 5 6 6 6 6 6 6 7 8 9 12 14 15 15 14 12 10 9 8 6 4 5 9 12 14 15 12 9 9 10 10 9 7 5 5 5 7 11 15 18 21 20 17 14 11 10 12 15 19 20 19 13 6 3 3 4 6 9 10 10 11 12 14 13 12 11 11 10 10 12 15 18 18 19 20 22 22 19 15 11 7 5 5 8 12 14 14 12 10 9 8 7 5 3 2 2 2 2 4 5 6 7 8 9 8 6 5 4 2 -2 -5 -7 -8 -9 -8 -7 -5 -2 0 3 5 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 nan
nan 10 9 10 12 13 13 12 11 9 9 9 10 10 10 8 6 4 3 4 7 10 13 14 13 10 8 7 8 9 9 9 10 11 13 13 12 11 9 8 7 6 5 5 6 7 7 7 7 7 7 8 10 13 17 19 20 19 16 13 11 10 9 7 5 5 7 10 11 12 11 10 10 9 9 9 7 6 5 4 5 9 14 19 21 22 19 16 15 16 18 21 21 19 15 9 3 -1 -0 1 4 5 5 5 7 10 12 12 9 7 6 6 6 7 11 14 16 17 17 18 17 16 12 10 8 6 5 7 9 11 13 13 12 11 10 9 7 5 3 1 1 2 4 6 7 7 5 3 2 4 7 8 8 6 3 -0 -1 -1 -0 1 2 4 6 7 8 9 9 8 8 7 7 6 6 6 6 6 6 7 8 9 8 8 8 9 10 10 10 10 9 9 nan
nan 11 11 11 12 13 13 13 12 12 12 13 14 13 12 11 9 7 7 7 9 12 14 15 14 11 8 6 7 8 8 9 9 11 12 13 11 10 8 7 6 5 4 5 6 6 7 8 8 9 9 9 10 14 19 23 23 21 18 15 13 12 10 8 6 5 6 8 9 9 9 10 10 9 9 9 8 6 5 5 7 11 16 20 21 21 20 18 19 21 22 21 18 14 11 7 3 0 1 2 3 3 3 2 5 8 10 10 9 8 5 2 -2 -1 4 9 12 14 14 13 12 11 10 10 9 8 7 6 7 9 10 11 11 11 10 10 8 6 2 -0 -1 1 4 8 11 10 6 3 2 5 9 13 16 16 13 9 7 6 7 7 8 9 9 10 10 9 8 7 6 5 5 5 5 6 6 6 7 7 8 8 8 8 9 10 11 11 11 10 10 12 nan
nan 11 11 11 11 11 11 11 12 13 15 16 16 15 14 12 10 9 9 10 11 12 13 14 14 12 8 7 7 7 8 8 9 11 11 11 9 8 8 7 6 4 4 4 5 6 7 8 10 12 13 13 13 16 20 23 24 21 18 16 15 13 11 8 7 6 7 8 9 9 9 9 9 9 9 8 8 7 6 7 9 12 15 18 20 19 19 19 20 21 20 17 13 10 10 10 8 6 4 4 4 4 3 3 4 6 8 9 9 9 7 3 -3 -5 -1 4 8 10 11 10 9 8 8 10 10 10 10 9 9 10 10 10 10 10 10 9 8 6 2 -0 -1 2 5 9 11 10 5 3 3 7 11 15 18 18 16 13 10 9 9 9 10 10 9 9 8 6 5 4 4 4 4 5 6 7 7 7 8 8 9 9 9 10 11 12 12 12 11 11 13 15 nan
nan 10 9 10 10 9 8 8 9 11 13 15 15 15 13 12 10 9 9 10 10 11 12 14 14 13 10 8 6 6 7 8 9 11 11 10 9 7 7 7 6 6 6 5 6 6 6 8 10 13 17 19 20 20 22 22 21 19 17 16 15 13 11 10 8 8 8 9 9 10 10 9 9 8 8 8 8 7 6 7 8 10 11 14 15 16 16 17 18 17 15 13 10 9 12 13 13 11 9 7 7 7 7 6 6 7 8 8 8 9 9 8 4 1 1 3 5 8 9 9 8 7 8 9 10 11 11 11 11 11 12 12 12 11 10 9 7 5 4 2 2 4 7 8 8 5 1 -1 1 4 6 9 11 11 10 8 7 7 7 7 7 7 7 6 5 5 4 4 4 4 5 6 7 9 10 10 11 11 11 11 12 12 13 13 12 12 11 13 14 14 nan
nan 8 7 8 9 8 7 6 6 7 9 11 11 12 11 10 9 8 9 10 10 11 12 14 14 13 10 7 5 4 5 7 9 11 11 11 9 8 7 7 7 8 8 8 8 6 5 5 7 11 17 22 24 23 22 21 19 17 15 14 14 13 12 11 10 9 9 9 10 10 10 9 8 7 8 8 8 7 6 6 6 6 7 8 10 12 13 14 15 14 13 12 10 9 11 13 15 15 14 12 11 10 10 10 9 9 8 7 7 8 9 10 10 8 6 6 6 8 9 9 9 8 8 8 10 10 10 10 10 11 13 14 14 14 12 10 8 6 5 5 5 5 6 6 5 2 -1 -2 -1 -1 -1 -0 0 0 -0 0 1 3 4 4 4 5 5 6 6 7 7 6 6 6 7 9 11 12 13 13 13 12 12 12 12 13 13 13 12 12 12 14 13 11 nan
nan 7 7 7 8 8 8 8 7 6 6 7 8 9 9 8 8 8 9 10 10 11 11 12 12 11 9 5 3 3 5 7 9 11 11 11 11 9 8 8 8 9 10 11 10 8 5 4 3 6 12 18 21 22 21 19 17 14 12 11 11 11 11 11 10 9 8 8 9 10 9 8 7 7 7 8 7 7 6 5 5 5 5 6 6 8 9 11 13 15 14 13 10 8 7 10 13 16 17 16 14 13 13 13 13 11 9 7 6 5 7 9 11 12 11 10 10 10 10 10 9 9 9 9 8 8 8 8 10 12 13 14 15 15 14 13 11 8 7 7 6 5 5 4 4 2 1 1 2 1 -0 -2 -3 -4 -3 -2 -0 2 3 4 5 6 7 9 9 10 9 9 9 10 11 13 14 14 13 13 12 11 11 12 12 13 13 13 12 12 13 13 11 8 nan
nan 8 7 7 7 9 11 11 10 8 6 6 7 8 8 8 7 7 8 8 9 9 10 10 10 9 7 5 4 4 5 7 8 9 10 12 13 13 11 9 8 8 10 12 13 12 9 5 3 2 6 12 16 18 18 17 16 13 11 8 8 10 11 11 10 8 6 6 7 9 9 7 6 6 7 8 8 6 5 5 5 6 6 5 4 4 5 8 12 15 16 13 10 6 4 7 11 15 17 17 14 12 13 14 13 11 9 6 5 4 4 7 10 12 14 14 13 11 10 10 8 8 8 7 7 7 8 10 11 12 12 12 13 14 14 15 14 13 13 12 10 8 7 6 5 4 4 5 6 6 6 4 3 1 1 2 3 5 7 9 10 11 12 13 13 12 12 12 12 14 14 14 13 12 11 10 9 10 11 12 13 13 13 13 13 12 12 10 8 7 nan
nan 8 7 7 8 10 12 14 13 11 9 9 10 10 10 9 8 6 5 5 6 7 8 9 9 8 7 6 5 6 6 6 6 6 9 12 15 15 12 9 6 5 7 12 16 17 15 10 5 3 4 9 13 15 16 16 15 13 11 9 8 10 12 12 11 8 5 4 6 9 9 8 6 6 7 9 8 6 5 5 6 7 6 5 3 1 1 5 9 13 15 13 9 5 4 6 10 14 16 16 13 11 11 12 11 10 7 6 5 4 5 6 8 10 11 13 13 12 11 9 7 6 6 6 7 8 9 11 12 11 10 10 10 10 11 12 13 14 14 15 14 12 11 8 7 6 5 6 7 8 9 9 8 6 6 6 8 10 13 15 16 17 17 16 15 15 14 14 15 14 13 12 10 9 8 8 9 10 12 13 14 14 13 13 12 12 10 9 8 8 nan
nan 7 6 7 8 10 12 14 14 14 14 13 13 12 12 11 10 8 5 4 5 6 8 9 8 8 7 7 7 7 7 5 4 4 7 12 15 15 13 8 5 3 5 11 17 19 18 14 9 6 7 10 13 15 16 16 16 15 13 12 12 13 15 15 14 11 8 5 6 8 10 10 8 7 8 9 9 6 5 5 6 7 7 5 4 2 1 3 7 10 12 12 9 6 6 7 10 14 16 16 13 10 10 10 10 8 7 7 7 7 7 6 5 5 5 7 9 12 11 10 8 7 7 7 8 9 10 10 10 10 9 8 7 7 6 6 7 8 9 10 10 11 10 9 7 6 6 6 6 8 8 9 8 7 8 9 12 16 20 22 22 21 19 18 16 15 14 14 13 11 9 8 6 6 7 9 11 13 14 15 15 14 13 11 11 10 10 9 8 8 nan
nan 6 6 6 7 9 11 13 15 16 16 15 13 13 13 12 11 10 8 7 7 7 8 8 8 7 9 10 10 9 7 5 4 4 7 12 15 17 15 11 7 4 5 10 15 17 17 15 12 11 12 13 14 15 15 16 16 16 16 15 15 16 16 16 16 14 11 8 8 9 11 12 11 10 9 9 8 6 4 4 5 6 7 7 6 5 4 4 6 8 10 11 9 7 7 8 10 14 15 15 13 11 11 11 10 9 8 8 9 10 9 9 7 5 4 4 6 10 12 11 11 10 9 9 9 9 9 9 10 9 9 8 8 6 5 5 5 5 6 8 9 9 10 9 8 7 6 6 6 6 6 5 5 6 8 12 16 21 24 25 23 21 18 15 13 12 10 9 7 6 5 5 6 7 9 11 14 16 16 15 14 13 11 10 10 10 9 9 8 7 nan
nan 7 6 6 6 8 10 12 14 15 14 12 12 12 13 12 12 12 12 12 10 9 9 8 8 8 11 13 12 10 8 7 7 7 9 13 16 18 17 14 10 7 8 10 13 14 15 16 16 16 15 14 12 12 12 13 14 15 15 14 13 13 13 13 13 13 13 12 12 11 12 14 14 13 10 9 7 6 6 6 7 7 8 9 9 8 7 6 6 7 7 8 8 8 8 8 10 11 12 12 12 12 12 12 11 10 9 9 9 10 11 11 11 10 9 8 8 10 13 14 14 13 11 11 10 10 10 9 9 8 9 9 9 9 8 8 9 9 10 11 13 13 13 12 10 9 8 8 7 6 4 2 3 5 9 14 18 21 23 21 18 15 12 9 7 6 6 5 5 5 5 6 8 9 12 14 16 17 16 14 13 11 9 9 10 9 8 7 7 7 nan
nan 10 8 7 6 7 8 9 11 11 10 9 10 11 12 11 11 12 13 14 13 11 10 9 9 9 12 14 14 12 11 10 10 10 11 13 16 17 16 13 10 9 10 11 12 13 14 17 18 19 16 12 10 9 9 10 12 12 12 11 10 9 8 8 9 11 13 15 15 14 14 15 15 14 11 9 8 9 9 10 10 10 10 12 12 11 9 7 6 6 5 6 6 7 8 9 9 9 9 10 10 11 12 11 10 9 8 7 8 9 10 12 13 13 13 12 12 13 14 16 15 14 11 10 11 13 12 11 9 9 9 10 10 11 11 11 12 12 12 13 14 15 15 14 13 12 11 10 8 6 5 5 6 9 11 13 15 16 15 13 10 7 5 4 4 4 4 5 6 7 8 9 10 12 14 16 17 16 14 12 10 9 8 9 9 8 7 7 7 8 nan
nan 13 12 10 8 7 7 8 9 9 8 8 9 10 10 10 9 10 11 12 12 12 11 10 9 9 11 14 15 14 13 12 12 12 13 14 16 16 13 11 8 9 11 12 12 12 13 16 18 19 16 11 9 8 8 9 11 11 10 8 7 6 6 6 8 11 14 16 17 17 15 15 14 13 11 10 11 12 14 14 14 13 14 15 16 14 11 8 7 6 5 5 6 7 8 9 9 9 9 9 11 11 11 10 9 7 6 5 6 7 9 11 13 14 14 14 14 14 14 14 14 12 10 10 13 16 17 17 17 15 14 13 12 12 12 12 12 12 11 11 12 13 13 13 13 13 12 10 7 6 6 8 10 11 12 12 11 10 8 6 4 2 2 2 4 5 6 7 8 8 9 10 11 13 16 18 17 15 12 10 9 8 8 8 8 8 8 8 8 9 nan
nan 14 14 12 11 9 9 9 10 10 10 9 9 9 9 8 7 7 8 9 10 11 11 11 9 8 9 11 13 13 13 13 12 13 14 16 17 17 14 10 7 7 10 12 13 13 13 16 19 19 16 12 9 9 9 9 9 9 8 5 3 3 4 6 8 12 16 20 21 20 18 15 14 13 12 12 13 15 16 16 16 15 16 17 17 15 12 11 9 9 8 6 6 7 7 8 9 10 10 11 12 12 11 10 8 7 6 4 4 5 8 12 15 16 15 13 12 11 10 10 10 9 9 10 14 19 22 25 26 25 23 19 16 14 13 13 12 10 9 8 8 9 11 12 13 12 11 8 6 5 6 7 9 10 10 10 9 7 4 2 2 2 3 4 6 7 8 8 9 10 10 11 14 17 19 19 18 15 12 10 9 8 8 8 8 9 9 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
92 92 89 86 78 69 66 66 68 72 80 88 92 87 79 68 60 55 53 54 60 72 87 97 105 105 96 82 69 58 50 39 26 18 14 12 11 15 19 18 20 20 31 55 117 233 357 422 440 377 281 204 151 120 109 115 122 145 166 198 234 228 175 125 109 92 79 73 66 60 57 55 48 37 25 14 7 1 0 1 1 0 1 4 13 17 15 7 2 1 12 40 74 96 124 130 93 48 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 0 0 0 0 0 0 0 0 0 0 0 2 21 98 253 450 633 752
88 91 93 91 83 75 71 68 66 67 74 82 90 93 94 92 84 72 61 52 50 55 67 81 101 111 112 105 91 75 63 50 36 26 18 11 7 7 10 13 18 22 29 34 44 83 179 300 397 446 395 278 180 136 126 124 119 132 174 210 232 204 155 125 111 90 76 79 78 71 67 61 50 34 20 7 1 1 5 14 13 7 7 14 30 42 41 26 13 8 18 40 62 71 84 101 80 41 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 29 126 287 465 622 750 823
87 87 85 82 78 78 82 84 80 73 72 75 79 82 87 92 96 93 83 69 54 45 50 63 85 105 124 128 119 103 85 66 49 36 25 17 11 8 5 4 9 16 27 40 34 42 74 148 268 412 501 440 275 178 147 140 136 146 186 237 212 174 131 114 100 83 74 80 85 82 74 64 49 29 12 3 1 8 27 58 53 37 27 33 59 88 85 58 32 18 21 37 52 59 67 82 76 36 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 7 52 156 320 499 638 731 802 850
85 83 78 75 72 76 89 103 107 101 88 80 76 76 81 91 101 106 105 92 72 56 49 50 62 85 117 135 139 130 112 89 66 46 33 23 18 14 8 4 4 8 19 38 38 40 44 76 150 289 449 519 419 256 183 154 153 169 202 232 220 150 116 103 93 82 79 85 91 89 81 64 42 19 5 2 12 37 81 129 132 104 74 74 111 151 146 97 46 25 28 40 47 49 56 67 65 37 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 31 47 55 123 285 494 647 727 771 805 839
83 81 77 72 67 69 85 105 121 126 112 93 81 76 76 83 95 107 114 109 90 73 58 46 44 56 79 108 133 137 128 110 86 61 42 29 22 18 12 9 5 4 9 19 33 53 51 56 80 156 308 464 498 375 245 178 159 165 196 211 179 119 101 89 90 88 91 96 97 93 81 60 32 11 3 10 42 93 154 218 276 258 176 144 175 212 200 135 64 39 50 49 38 35 44 56 56 37 14 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 22 82 146 155 169 327 542 690 758 781 795 821
82 79 75 70 64 62 70 85 100 114 115 105 92 82 75 72 81 96 107 106 93 83 74 59 46 40 45 65 93 113 121 116 101 81 58 39 26 19 14 11 8 5 6 14 30 54 68 64 64 91 182 354 510 499 352 210 159 171 208 208 162 111 91 78 74 87 101 106 103 93 76 51 21 1 0 21 97 191 262 330 404 399 275 239 255 277 249 171 99 80 94 74 39 31 38 49 50 39 22 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 33 127 241 251 153 307 549 707 771 783 785 795
81 77 72 68 64 62 63 66 69 76 85 94 97 92 83 71 72 85 99 108 109 103 96 82 66 51 38 41 58 78 96 106 106 95 76 55 37 23 14 8 7 4 6 15 31 50 66 70 67 79 114 236 423 514 423 257 177 198 247 227 165 115 86 69 72 100 119 117 105 88 65 38 14 2 2 47 203 346 406 449 497 483 386 345 358 358 315 225 151 124 110 76 47 39 42 47 45 36 24 15 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 0 0 0 0 1 25 101 204 218 104 293 534 690 759 770 760 753
79 77 73 68 65 65 65 65 66 64 69 78 90 98 99 93 84 82 88 97 105 107 101 91 81 67 51 43 44 55 71 87 97 99 89 72 51 33 21 13 6 3 7 18 38 51 65 74 69 68 89 170 352 499 459 311 225 251 302 266 172 116 77 59 75 108 119 112 92 73 51 27 13 11 25 94 345 488 526 540 559 540 479 455 490 448 387 274 187 146 113 83 70 54 50 46 39 30 20 13 4 0 0 0 1 3 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 7 33 104 181 158 274 486 643 725 744 729 705
77 76 76 73 69 69 71 72 74 72 69 71 77 86 97 103 101 92 86 87 86 84 85 84 80 72 64 57 49 46 53 66 80 89 92 84 66 46 29 17 9 5 8 19 52 67 76 78 71 66 79 128 283 448 442 332 274 312 349 281 173 111 81 62 85 120 118 93 67 54 41 26 19 24 46 139 404 549 590 594 602 592 574 586 612 546 450 306 215 186 167 134 94 66 53 47 38 29 18 10 9 11 15 20 20 19 25 27 18 8 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 3 19 77 180 253 441 597 682 707 691 656
77 76 77 74 73 73 74 75 74 72 70 69 70 76 87 96 102 102 97 93 86 76 74 74 74 72 69 66 63 54 51 54 63 76 85 88 79 61 42 23 12 8 9 18 51 87 97 96 89 81 84 123 223 349 370 321 323 367 363 265 160 116 112 96 114 126 112 87 60 42 33 22 12 10 36 166 383 507 599 639 662 673 686 707 707 628 472 306 289 300 242 162 100 70 58 51 45 38 31 30 38 50 57 58 59 53 50 48 43 32 17 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 1 18 72 173 366 526 602 623 609 577
83 82 80 77 76 78 78 76 74 71 69 69 69 67 83 95 104 111 113 109 99 88 80 76 77 79 80 81 82 77 64 56 55 62 74 84 85 75 58 35 19 11 10 16 37 78 106 115 114 103 98 114 162 242 311 334 367 386 322 218 151 127 128 135 129 134 120 94 67 45 26 8 3 28 107 252 378 443 555 677 742 771 763 773 757 637 438 325 446 472 280 158 101 79 70 61 58 58 56 57 65 80 91 90 88 85 83 77 68 55 39 20 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 17 89 232 378 456 486 490 474
92 92 90 88 86 85 82 81 80 77 75 74 71 70 84 102 111 120 126 126 118 105 92 85 83 86 90 94 98 97 80 69 59 57 65 76 84 83 70 49 29 17 13 16 29 53 84 105 114 113 106 110 131 178 252 336 370 348 245 186 162 138 134 160 131 141 123 96 70 42 16 1 0 60 263 376 393 398 494 676 809 816 796 800 754 592 418 415 595 580 236 151 115 95 83 74 75 76 71 72 83 95 103 104 103 104 103 95 77 61 50 32 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 0 0 0 0 0 0 0 0 14 73 179 277 352 394 396
98 102 105 105 102 96 89 85 88 94 89 85 79 81 93 106 118 128 136 138 134 122 104 90 80 84 91 99 105 103 95 88 76 65 62 68 77 81 77 62 42 26 17 17 25 42 67 89 104 117 117 112 122 153 215 302 353 296 206 195 178 153 147 158 143 139 125 95 61 30 8 0 6 49 219 398 415 375 448 647 817 806 777 781 714 536 424 510 663 552 157 150 129 104 88 82 85 88 84 83 93 106 113 114 111 110 107 98 79 60 49 34 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 20 58 125 226 291 308
102 113 122 122 116 106 96 91 94 101 96 84 78 82 99 123 144 154 155 147 140 131 116 98 85 84 94 96 98 101 105 105 95 79 65 62 69 76 76 68 53 35 23 17 24 39 65 92 113 132 142 128 117 134 193 281 330 255 189 190 187 161 150 150 146 142 137 105 63 29 8 0 11 69 230 438 465 377 414 596 780 832 811 773 648 461 412 533 613 447 148 151 136 96 81 79 80 81 79 79 96 112 120 119 112 102 90 74 53 33 30 28 13 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 35 92 155 191
110 123 131 130 122 112 102 96 94 95 94 81 76 79 108 141 163 171 162 149 142 133 122 110 99 94 94 93 94 99 108 108 95 79 68 64 67 72 75 72 61 44 29 15 23 33 52 82 113 139 155 147 121 130 185 256 279 229 184 192 196 157 142 132 125 125 127 115 76 35 11 1 14 87 253 452 532 406 406 563 784 934 931 788 543 378 402 506 495 314 123 120 117 76 67 68 68 65 63 70 87 107 117 114 101 86 70 52 35 26 21 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 59 47 80 80
119 127 131 131 125 117 111 105 98 94 91 86 83 83 106 134 158 164 155 143 137 131 124 120 117 112 107 104 107 107 112 109 99 89 82 77 73 75 80 82 72 54 34 17 21 26 42 65 96 128 148 151 136 140 195 239 241 206 186 205 173 141 121 104 93 92 98 99 73 31 9 1 11 81 249 457 574 457 421 545 787 988 984 747 474 356 422 461 368 197 88 87 86 60 56 55 55 50 51 63 83 103 110 99 83 68 52 38 25 16 12 10 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 20 81 52 75 65
126 126 126 127 128 126 124 118 106 96 92 88 83 84 103 128 145 149 146 141 138 137 134 133 137 138 132 128 131 133 134 129 117 107 97 87 80 79 85 96 89 67 42 23 19 24 39 64 91 116 134 142 144 157 207 245 243 223 200 177 150 130 103 82 71 66 64 57 41 17 2 0 1 27 197 445 567 483 398 458 639 798 755 561 413 394 426 385 252 126 71 68 65 52 47 44 44 41 46 63 86 103 104 86 67 56 44 31 18 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 30 20 27 34
131 125 121 124 128 131 131 126 115 104 92 85 82 89 107 129 140 143 140 136 133 132 134 140 152 161 153 151 160 167 167 158 144 132 116 100 86 81 86 102 105 81 56 34 21 20 31 55 81 104 119 126 132 153 200 250 257 256 236 194 155 128 92 70 57 47 36 24 13 4 0 0 1 25 202 401 489 451 388 385 482 542 499 439 410 406 368 264 133 77 59 54 50 44 39 35 36 39 46 62 83 98 96 77 58 48 32 22 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4
131 122 118 124 129 132 133 128 117 105 95 86 84 94 111 126 135 139 133 126 121 121 125 136 153 174 181 190 197 197 187 171 157 144 130 112 95 87 92 107 117 98 71 46 28 20 24 39 66 88 103 112 121 153 215 275 276 262 235 182 150 117 78 62 47 27 13 5 2 0 0 0 1 15 158 267 354 392 389 384 406 445 465 469 450 394 290 157 59 50 50 47 43 39 34 31 34 42 53 70 86 93 88 75 63 53 27 15 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
122 115 118 129 134 137 138 131 116 102 92 88 89 90 95 105 114 118 117 112 107 103 108 120 140 169 208 232 235 217 187 161 146 139 136 121 103 95 101 114 120 109 84 58 37 24 23 32 52 75 91 100 110 154 238 302 297 269 206 153 129 98 68 51 34 12 1 0 0 0 0 0 0 4 30 114 227 310 355 381 408 455 511 528 478 370 232 110 48 49 48 43 40 34 30 30 34 41 56 77 98 109 102 82 64 56 31 12 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
105 102 112 128 142 149 150 142 126 106 92 86 87 84 82 86 89 90 89 86 83 81 88 102 124 156 194 224 237 213 169 143 132 133 135 126 108 102 106 113 120 115 95 71 49 28 22 28 43 63 80 90 102 154 246 290 293 268 182 158 104 83 61 41 24 8 0 0 0 0 0 0 0 0 1 14 104 211 297 363 423 481 520 509 429 301 170 83 51 52 50 43 40 32 28 28 32 41 56 75 101 119 108 76 51 41 20 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
93 94 109 130 148 157 158 149 130 109 94 86 84 83 83 78 74 73 71 69 68 69 74 84 101 127 157 183 195 184 141 120 117 121 126 123 111 103 103 109 119 118 104 85 61 36 24 25 37 54 69 80 94 150 236 242 236 193 144 159 81 81 58 33 15 4 0 0 0 0 0 0 0 0 0 1 21 119 233 333 414 472 487 446 357 230 113 59 48 49 46 44 40 39 33 29 31 41 56 76 101 119 124 116 78 37 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 0 0 0 0 0 0 0 0 0
93 97 118 137 149 156 158 150 134 116 100 90 85 82 77 71 65 63 65 66 68 69 70 72 79 95 114 133 147 146 123 106 104 108 114 116 113 108 106 105 112 116 112 95 69 44 28 25 33 49 62 72 91 148 237 232 210 147 129 136 76 77 56 29 11 2 0 0 0 0 0 0 0 0 3 6 13 56 167 285 380 445 466 423 320 194 91 49 43 49 52 47 38 37 35 30 32 40 52 69 94 135 179 191 117 42 8 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
96 107 131 144 146 151 152 148 137 123 108 96 88 82 76 71 68 64 66 68 71 72 70 68 70 78 83 94 110 119 117 111 106 104 111 117 118 115 108 100 100 111 114 100 79 59 38 28 31 43 55 65 91 154 238 257 215 158 143 119 79 67 47 24 8 2 0 0 0 0 0 0 0 2 12 24 34 58 126 236 340 421 466 454 367 240 124 67 57 57 57 49 38 33 32 33 35 37 48 78 124 171 192 150 77 25 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
99 116 134 141 138 140 144 144 138 128 115 103 93 86 80 77 72 68 67 68 71 71 69 67 67 71 75 80 92 101 110 115 115 115 121 128 130 121 105 91 90 103 112 97 84 67 46 33 30 35 46 57 87 156 238 262 194 170 133 102 79 58 35 17 7 1 0 0 0 0 0 0 0 7 17 28 50 85 134 212 302 372 406 394 326 242 160 110 97 65 49 38 30 28 32 37 37 37 57 104 155 163 111 49 19 5 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
101 114 124 127 126 128 133 136 133 127 120 110 100 90 83 74 68 65 64 62 64 65 64 62 63 67 75 82 87 89 101 109 113 117 125 140 145 133 110 89 85 94 103 90 79 68 50 36 30 30 40 55 85 150 214 215 156 158 92 76 65 42 21 10 5 1 0 0 0 0 0 0 1 12 12 10 32 67 104 141 174 183 167 137 123 114 106 106 118 74 47 33 26 25 31 41 47 59 88 115 110 70 26 5 1 0 0 0 0 0 0 0 0 0 0 0 1 2 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
102 109 113 117 119 119 122 127 125 121 116 109 98 86 78 72 65 64 62 59 57 56 54 54 58 64 72 80 82 81 90 96 101 110 126 145 156 147 127 105 91 88 89 83 82 83 69 48 33 31 42 57 86 144 185 156 114 109 56 51 33 16 8 5 2 0 0 0 0 0 0 0 5 21 18 10 9 19 31 37 32 16 4 1 11 19 27 44 70 65 54 42 34 33 42 60 82 108 129 107 56 16 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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
106 107 109 113 113 111 112 113 112 107 102 95 86 79 75 71 66 65 60 54 49 49 50 52 56 62 67 72 76 80 84 95 104 111 126 144 155 154 143 122 99 88 87 86 85 90 92 61 38 37 48 64 93 147 169 111 67 49 30 28 11 3 3 3 1 0 0 0 0 0 0 0 11 27 22 9 2 1 1 0 0 0 0 0 0 0 1 7 21 35 43 42 39 41 52 70 94 115 110 57 19 3 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
113 110 108 108 106 103 100 96 93 91 87 80 74 69 66 63 61 57 52 47 46 47 49 52 56 60 64 67 73 77 83 101 110 108 119 136 150 155 148 128 106 97 108 105 95 100 104 67 44 46 57 73 101 145 158 78 32 16 15 13 3 0 1 1 0 0 0 0 0 0 0 0 16 29 23 8 1 0 0 0 0 0 0 0 0 0 0 1 3 8 13 15 17 29 42 50 55 54 37 14 2 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
121 115 110 105 100 97 91 88 86 84 80 74 67 61 57 54 51 47 44 43 44 45 47 51 54 57 60 64 70 74 84 102 113 111 118 133 146 153 151 138 118 109 125 121 116 121 117 77 51 55 63 76 106 144 146 52 15 8 9 7 2 0 0 0 1 1 1 1 0 0 0 0 16 30 25 10 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 11 25 30 25 18 12 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
130 122 114 106 99 92 86 86 85 82 77 70 62 56 51 48 46 43 40 40 40 42 45 49 53 56 59 65 74 82 97 112 122 125 129 137 144 150 151 142 126 121 127 130 132 137 126 90 64 66 66 67 99 146 138 47 6 4 6 4 1 0 0 0 2 4 4 2 0 0 0 0 11 29 27 13 3 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 8 14 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
136 128 118 108 96 88 83 82 81 78 71 63 55 49 45 44 44 42 41 40 40 40 43 47 52 57 63 71 85 102 114 123 128 131 135 141 142 147 150 143 134 126 116 131 146 148 135 108 82 73 59 42 74 134 122 48 6 4 5 2 0 0 0 0 2 4 4 2 1 0 0 1 7 31 27 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
130 124 114 102 90 82 76 72 70 66 59 52 45 41 40 40 42 42 42 40 39 41 44 47 54 61 67 79 96 112 120 125 129 132 136 140 143 147 151 147 144 128 114 135 162 158 145 122 93 66 40 18 56 132 117 50 6 4 4 1 0 0 0 0 0 0 1 1 4 2 0 1 7 28 22 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 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
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