Vorticity
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nan 9 10 9 8 7 6 6 5 5 5 6 7 8 8 8 7 6 6 6 6 6 7 9 12 14 15 14 13 11 10 11 12 14 17 19 19 16 12 9 9 10 12 13 12 10 6 2 -0 1 4 6 5 4 4 4 6 7 8 8 6 5 5 6 8 9 10 9 9 8 7 6 6 6 6 7 5 4 3 3 4 5 7 8 8 8 9 10 11 10 8 7 6 7 9 12 13 11 10 11 13 13 11 8 7 8 9 10 10 10 10 11 13 14 13 10 8 8 8 9 12 16 20 20 16 7 4 9 12 11 9 7 5 6 9 13 18 19 17 11 8 6 7 12 15 14 11 9 9 9 8 8 6 5 4 4 6 8 10 11 10 7 4 4 6 8 9 10 10 10 9 9 9 8 9 9 9 9 9 8 7 7 6 6 7 9 10 10 10 10 nan
nan 6 7 8 7 6 5 4 4 4 5 6 7 8 8 8 8 7 7 7 7 7 8 11 14 15 14 13 12 12 13 12 11 11 13 15 15 14 12 11 12 13 13 12 11 9 6 2 -1 1 4 6 5 5 5 8 8 7 6 6 6 6 6 7 8 8 6 5 6 8 8 8 7 6 7 8 6 4 3 4 5 6 7 8 9 9 10 11 11 10 9 8 6 6 8 12 14 13 12 14 15 15 12 9 7 8 9 10 10 8 7 8 10 13 13 10 5 4 4 6 10 15 20 21 17 13 14 19 20 15 8 2 -1 -2 -1 3 9 13 12 9 7 8 8 9 8 7 6 7 7 7 7 7 7 6 6 7 7 8 8 8 6 2 -0 -0 2 4 6 7 8 8 8 8 8 8 8 8 8 7 7 6 5 5 5 6 7 8 9 10 10 11 nan
nan 3 4 5 5 4 3 2 3 4 6 7 7 7 8 8 8 8 8 9 8 7 8 11 14 15 14 12 12 13 14 13 10 9 10 12 13 13 13 13 13 13 11 10 9 9 7 3 -0 2 5 5 4 4 6 10 9 7 5 5 6 7 8 8 7 6 4 4 6 9 10 9 7 7 8 8 5 1 1 4 6 8 10 10 9 9 10 11 11 11 11 10 8 7 9 13 15 15 14 14 14 13 10 7 5 4 6 9 10 9 6 5 8 11 12 9 3 -2 -3 -1 4 10 16 18 16 16 18 23 22 15 7 0 -3 -5 -5 -3 2 5 6 4 3 4 4 3 1 2 3 5 7 7 6 7 8 9 10 11 11 11 10 8 6 3 1 0 2 3 5 6 7 7 7 7 7 7 6 6 6 5 5 4 4 4 5 6 6 7 8 9 9 10 nan
nan 3 3 3 2 1 0 0 2 5 8 9 8 7 7 8 9 9 10 10 10 9 10 12 14 14 13 13 13 13 13 12 10 9 10 12 13 14 13 13 13 11 10 9 10 10 8 3 1 2 5 5 4 4 7 10 10 7 6 7 9 10 9 8 7 5 4 5 7 9 10 9 8 7 7 5 2 -1 0 4 8 11 12 11 10 10 10 11 11 11 11 10 9 6 7 11 14 14 14 13 12 10 7 4 1 -1 2 6 9 9 7 6 8 12 14 11 4 -3 -7 -7 -3 3 9 12 12 13 15 18 17 12 7 3 1 -1 -2 -1 2 4 3 2 0 -1 -2 -2 -1 1 3 5 6 7 7 8 10 12 15 16 16 15 14 12 10 8 5 4 4 5 6 7 7 7 6 6 5 5 5 5 5 4 4 4 4 5 5 5 6 6 7 7 8 8 nan
nan 6 5 3 1 -1 -2 -1 2 6 9 11 9 8 8 9 10 10 10 11 11 12 13 13 14 13 13 12 12 11 12 11 10 10 10 12 13 13 13 12 12 11 11 11 12 12 8 3 2 2 5 6 5 6 8 11 10 9 9 10 10 9 8 8 7 5 5 7 8 9 8 8 7 6 6 4 2 -0 -0 4 9 12 12 11 11 10 11 10 10 10 11 11 9 7 5 7 10 12 13 12 11 8 5 2 -1 -3 -2 2 6 8 9 9 10 14 15 13 8 1 -4 -6 -6 -4 0 5 10 14 16 17 15 11 9 8 7 6 5 7 9 9 8 6 4 2 1 0 1 2 3 5 5 6 7 9 12 16 18 20 20 19 18 17 15 13 10 8 7 7 8 8 8 7 6 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 nan
nan 8 6 3 -1 -3 -3 -1 2 7 10 12 12 11 10 11 11 11 10 11 12 14 15 14 13 12 11 10 9 8 10 11 11 10 10 11 12 12 12 12 12 12 11 11 12 12 9 5 4 4 6 7 9 10 10 11 11 11 12 11 9 7 6 7 6 5 6 9 10 8 6 6 6 6 6 6 4 1 -1 2 7 11 12 12 11 11 11 10 9 9 9 11 10 9 6 7 9 11 12 12 12 10 8 4 0 -3 -4 -0 5 9 11 11 10 12 12 12 9 6 2 -1 -4 -5 -5 -1 5 12 17 18 15 10 8 9 10 10 11 12 13 13 13 12 10 7 5 4 4 3 3 4 4 5 6 8 13 17 19 20 21 20 20 20 19 16 12 9 9 8 9 8 8 7 6 4 4 3 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 nan
nan 8 5 1 -1 -3 -2 0 3 7 12 14 14 13 13 12 12 12 11 11 13 15 14 12 10 9 9 8 7 7 9 11 11 10 9 9 10 11 12 12 11 10 9 10 11 12 11 9 9 9 9 9 10 11 11 10 9 10 12 13 10 8 7 7 5 4 7 12 14 10 6 5 5 7 8 8 6 3 1 3 7 11 13 13 12 11 10 10 9 8 8 10 11 11 9 9 10 11 10 11 12 14 13 9 4 -0 -2 2 8 12 14 12 9 7 7 7 8 8 8 6 3 -1 -4 -5 -1 4 9 12 11 7 5 6 7 9 10 11 11 11 11 11 10 9 7 6 5 5 5 4 4 4 5 7 11 14 15 16 18 20 22 23 21 17 13 10 9 9 9 8 8 7 6 4 4 3 4 5 6 6 7 7 7 8 8 8 8 8 8 8 8 9 nan
nan 8 5 2 0 1 1 3 5 8 13 16 16 15 14 14 13 13 12 11 12 13 11 9 8 7 8 8 8 9 10 11 10 9 8 7 8 10 10 9 7 6 5 7 10 13 15 15 14 14 12 10 9 9 8 7 6 7 10 13 13 11 8 7 3 1 7 14 18 14 7 4 4 6 9 10 9 7 6 6 8 11 12 12 11 10 10 9 8 7 7 9 11 11 11 10 11 10 9 9 10 13 16 12 7 3 2 5 11 15 14 11 8 5 5 5 7 9 11 11 9 7 4 1 -0 1 3 5 6 5 4 3 3 3 4 5 6 6 6 6 8 8 8 8 8 8 7 6 5 5 5 5 6 8 8 9 12 16 20 23 20 16 13 10 9 8 8 8 8 7 6 5 4 4 4 5 6 6 7 7 8 8 9 9 9 9 9 9 9 9 nan
nan 7 5 3 4 5 5 5 6 9 13 17 18 17 16 15 14 14 13 12 11 10 8 6 6 6 7 8 9 10 10 10 10 8 7 7 7 8 7 5 3 3 3 6 10 15 18 19 18 15 13 11 9 8 6 5 5 8 11 13 13 11 9 6 2 -1 4 12 17 15 8 3 3 6 9 11 10 9 9 8 9 11 12 12 11 10 10 9 8 7 7 8 10 10 9 9 9 9 7 6 7 10 13 12 9 7 6 7 10 13 12 9 7 5 5 6 8 10 11 12 13 12 11 10 8 6 6 6 7 7 6 4 2 1 1 1 1 2 2 4 7 10 12 12 11 10 8 7 7 7 6 5 4 4 4 4 6 10 15 18 16 14 12 10 8 6 7 7 7 7 6 5 5 4 4 5 6 7 7 8 8 9 9 9 10 10 10 10 10 10 nan
nan 7 4 4 5 6 7 6 6 9 13 18 20 18 16 14 13 12 12 11 10 9 7 6 5 5 5 7 8 9 9 9 10 10 9 7 5 5 4 2 2 2 4 6 10 15 20 21 19 16 13 12 11 9 6 6 9 12 13 13 10 8 7 6 4 -0 1 8 12 13 9 5 4 7 9 10 11 10 9 8 8 10 12 13 12 11 10 9 8 7 7 7 7 8 6 6 6 6 6 5 5 6 9 11 12 10 9 7 8 9 9 7 5 5 6 9 11 11 11 11 12 13 14 14 13 12 11 11 12 12 11 8 6 5 3 2 1 1 2 4 7 10 14 16 14 12 10 9 10 9 8 6 4 3 2 2 4 8 11 13 14 13 11 9 7 5 6 6 6 6 6 6 6 6 6 5 6 7 8 8 9 9 9 10 10 10 10 10 10 10 nan
nan 7 3 3 4 5 6 6 6 8 13 18 19 17 14 12 10 9 9 9 9 8 7 6 4 3 3 4 7 8 8 10 12 13 12 9 6 3 2 1 2 3 5 7 11 15 18 19 18 16 13 12 11 11 9 10 15 18 16 12 8 5 5 7 7 5 5 6 7 8 9 8 7 8 9 9 9 9 7 6 6 8 12 14 14 12 11 10 9 8 7 6 6 5 4 3 3 3 4 5 6 8 11 13 13 11 9 7 7 8 8 6 5 5 7 10 13 13 11 10 10 13 14 15 15 15 14 13 15 15 14 12 11 10 9 7 6 6 5 5 7 11 15 18 16 13 11 10 11 10 7 5 4 3 3 3 5 9 12 14 14 12 10 8 6 5 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 11 11 11 nan
nan 6 2 2 3 4 6 6 6 8 13 17 17 15 11 8 7 7 8 9 8 8 7 5 3 2 1 3 5 7 9 12 15 16 15 11 7 4 2 1 1 3 5 8 11 14 16 17 16 15 13 11 10 10 11 14 18 20 18 13 8 4 3 7 11 13 11 7 3 2 4 7 8 7 8 8 9 9 7 4 3 6 12 16 16 13 11 11 11 11 10 8 6 5 4 4 3 3 4 6 9 12 13 13 12 10 8 8 8 8 8 8 8 8 9 11 15 16 15 13 12 13 14 15 15 15 14 13 14 15 14 12 11 11 11 12 11 9 6 5 8 12 16 19 18 14 11 9 8 7 6 4 3 3 4 4 8 12 15 16 16 13 10 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 10 10 11 12 11 nan
nan 4 2 2 4 6 7 7 7 8 13 16 16 13 9 6 6 7 8 9 9 7 6 4 3 2 2 4 5 7 9 13 15 16 15 12 8 4 2 2 1 3 6 9 12 13 13 14 14 13 12 10 8 8 10 13 16 17 17 14 10 6 5 9 14 16 15 11 4 1 2 5 7 6 6 7 8 9 8 6 5 9 15 19 18 14 12 11 12 13 12 9 8 7 7 7 7 8 8 9 10 12 12 11 10 8 6 6 6 7 8 11 11 11 11 12 15 20 21 19 16 14 13 12 12 11 11 12 13 14 13 11 8 8 9 10 9 7 4 4 8 13 16 18 17 14 12 9 7 5 5 5 4 4 5 7 13 17 19 19 18 15 11 9 8 8 8 9 9 9 10 10 10 8 6 5 5 5 5 6 7 8 9 9 10 11 12 12 12 12 nan
nan 3 3 5 8 9 10 9 8 9 12 16 15 11 7 5 5 7 9 10 9 8 6 5 5 6 7 7 7 8 9 11 13 14 13 11 8 5 3 3 3 5 8 11 12 12 11 11 12 12 11 9 8 7 9 10 12 13 14 13 11 9 9 10 12 14 14 12 8 5 4 6 7 7 7 7 8 9 10 9 9 13 19 21 19 15 12 11 12 12 11 9 8 7 7 7 8 10 13 14 12 12 11 10 8 6 2 -1 1 5 9 12 14 14 14 14 15 19 22 21 19 15 12 9 7 6 6 8 11 12 11 9 7 6 6 6 6 5 5 6 8 10 12 13 12 12 12 10 7 6 5 5 5 5 7 12 17 21 23 22 20 16 12 10 9 9 9 9 10 10 10 10 9 7 4 3 2 2 3 4 6 9 10 11 11 12 13 13 13 12 nan
nan 5 7 10 12 13 12 11 9 9 11 15 14 10 6 5 5 7 9 10 9 8 7 7 8 10 12 12 10 10 9 9 10 10 11 10 8 6 6 6 7 9 11 12 12 10 9 9 9 10 10 10 9 8 8 8 9 10 12 12 11 10 10 9 9 9 10 10 9 8 7 7 8 9 10 10 10 10 11 11 11 15 20 22 20 16 13 11 10 10 9 8 6 5 5 4 5 8 13 16 15 13 13 12 9 5 -1 -5 -3 3 9 13 15 16 15 14 13 13 16 18 17 15 12 8 5 4 4 6 8 9 9 8 7 6 6 5 6 7 9 10 9 7 7 7 8 8 8 8 7 5 4 3 4 5 8 13 16 20 23 22 20 16 12 10 9 8 8 9 9 9 8 8 7 4 3 2 2 3 4 7 10 12 13 13 13 14 14 13 13 12 nan
nan 6 9 13 14 15 14 12 9 8 10 13 12 9 7 6 6 7 8 8 7 6 7 9 11 13 14 14 13 13 12 10 9 8 9 9 9 9 9 10 11 12 13 13 12 10 8 8 8 8 9 9 9 9 9 9 10 10 11 11 10 10 9 9 7 7 7 8 8 8 8 8 9 10 11 11 11 10 9 9 9 14 20 22 21 17 14 12 10 8 6 5 5 4 3 3 3 5 9 12 12 13 14 14 11 6 0 -4 -3 4 9 13 14 13 11 9 7 6 7 10 12 12 10 8 6 5 6 8 8 8 9 8 8 7 7 8 8 10 11 10 7 5 4 4 5 6 7 7 6 4 2 1 2 4 7 10 12 15 18 18 17 13 9 7 7 6 6 6 6 5 5 4 4 4 4 5 6 7 9 11 13 13 13 13 12 12 12 12 11 9 nan
nan 6 9 12 14 14 13 11 8 6 8 12 13 11 9 7 7 7 7 6 6 5 6 8 10 12 13 13 14 14 14 13 11 9 8 9 10 11 11 12 12 13 14 14 13 12 10 9 8 8 8 9 9 10 11 12 12 12 11 11 10 9 9 9 8 7 7 8 8 8 8 9 9 9 10 10 9 8 6 6 8 13 19 23 22 19 16 14 12 9 6 5 5 5 5 6 6 6 6 7 9 11 14 15 12 8 4 0 0 5 9 11 11 9 7 6 5 4 3 4 6 7 7 7 6 7 8 10 10 11 11 11 9 8 8 8 8 8 7 5 3 1 2 3 5 8 10 10 9 6 3 0 1 2 3 4 4 5 6 7 6 4 1 1 1 2 2 2 2 2 3 4 5 7 9 10 11 11 11 11 11 11 10 9 8 8 8 8 7 6 nan
nan 7 10 12 13 13 13 11 8 7 9 13 15 14 11 8 7 6 6 6 6 6 7 8 9 10 10 11 12 14 14 13 12 10 9 9 11 11 11 12 12 13 15 16 17 17 15 12 10 9 9 10 11 11 12 13 13 12 11 10 9 9 10 9 9 9 9 9 10 10 10 10 9 9 9 8 7 6 5 6 9 13 18 22 22 20 18 15 14 11 8 7 8 9 11 12 11 9 7 9 11 13 14 13 11 8 6 5 5 6 8 9 10 10 11 11 11 10 9 8 7 7 7 6 5 6 8 11 13 14 14 12 10 9 8 6 5 3 1 -0 -1 -0 1 3 6 9 13 14 13 9 4 0 -1 -1 -1 -3 -5 -7 -8 -8 -9 -9 -8 -6 -3 -2 -1 -1 -0 1 4 6 9 11 12 13 13 12 10 8 8 7 7 7 6 6 6 5 4 4 nan
nan 10 12 13 14 14 13 12 10 9 11 14 15 14 12 10 9 8 7 6 6 7 8 8 9 9 9 9 10 11 12 12 11 11 11 11 12 12 12 12 12 14 16 19 21 21 19 16 13 12 12 13 13 13 12 12 11 11 10 9 10 10 10 9 9 10 11 11 11 11 10 10 10 10 9 8 6 5 6 8 10 13 16 18 20 19 17 16 14 12 11 11 13 16 18 18 15 13 12 15 16 16 14 12 9 8 7 7 6 6 6 6 9 12 17 19 19 18 17 16 15 13 10 7 4 3 6 9 13 16 16 13 10 9 8 7 4 1 -1 -1 -1 1 2 4 6 10 13 16 16 10 4 -1 -2 -3 -4 -7 -10 -13 -15 -15 -14 -12 -8 -5 -2 -0 0 1 2 4 6 8 10 11 12 12 11 8 6 6 6 7 7 8 8 8 8 6 5 5 nan
nan 11 12 14 16 16 15 14 13 12 12 13 13 12 12 11 10 10 8 7 6 6 7 8 9 9 9 8 9 10 10 11 11 11 12 12 13 14 14 13 13 14 16 20 23 22 21 19 17 15 14 15 16 14 12 11 10 10 10 10 10 10 9 8 8 10 11 12 13 11 10 9 9 10 9 7 5 4 5 7 9 11 12 14 16 17 16 15 13 12 13 17 20 22 22 18 13 13 14 17 18 16 13 10 9 9 8 6 5 4 3 3 6 11 17 19 19 18 18 20 20 19 14 8 4 3 4 8 11 15 16 15 12 10 10 8 6 3 1 0 1 2 3 4 6 9 11 13 13 7 3 -1 -3 -5 -6 -7 -8 -10 -10 -9 -7 -4 -1 1 3 3 4 4 5 6 7 8 9 9 9 9 7 5 5 6 7 8 9 10 10 11 10 9 8 7 nan
nan 11 11 13 15 16 15 15 14 13 12 11 11 11 11 10 10 11 10 8 6 5 5 6 7 8 7 7 7 8 10 10 10 11 11 12 13 14 15 14 14 14 15 18 20 21 20 19 18 17 16 16 15 13 11 11 10 10 9 9 9 8 7 7 8 8 10 11 13 13 12 10 9 8 7 5 3 3 3 5 7 9 11 13 15 15 14 13 13 14 18 23 24 23 18 10 5 6 9 12 14 14 10 8 8 10 10 7 4 2 2 2 4 8 11 13 12 11 13 16 18 17 13 8 5 4 5 8 10 13 14 15 15 13 12 10 8 6 3 2 1 2 3 5 7 8 8 7 5 3 2 2 0 -2 -5 -5 -5 -4 -1 0 1 3 4 5 6 6 6 6 6 6 7 7 8 8 7 6 5 5 6 8 9 9 10 11 12 13 12 12 11 10 nan
nan 9 9 10 12 13 13 13 12 12 12 11 10 10 10 9 10 10 10 9 8 6 5 5 6 6 6 6 7 8 10 10 10 10 10 11 12 13 14 14 13 12 12 14 17 18 18 18 18 17 16 15 13 11 10 10 9 9 8 7 7 7 6 7 7 7 8 10 12 14 14 13 11 8 6 4 2 1 1 3 6 9 12 14 15 15 13 12 13 17 22 24 22 16 9 2 -1 1 4 6 8 9 7 5 7 10 11 8 5 2 2 3 4 5 6 6 6 6 8 10 11 11 8 5 4 5 6 8 10 11 13 14 14 14 14 12 10 7 4 2 0 1 3 5 6 7 5 3 0 2 5 7 7 5 2 0 0 2 4 5 5 6 6 7 7 7 6 5 5 6 7 7 8 8 7 6 7 8 9 10 11 11 13 14 14 14 14 14 13 12 nan
nan 7 6 6 7 8 10 10 9 10 10 11 11 11 11 11 10 10 9 9 10 9 7 6 5 5 6 6 8 9 10 10 10 9 9 10 11 12 12 12 11 10 9 11 14 16 17 17 17 16 16 14 12 10 9 8 8 7 6 6 7 7 7 7 7 8 8 9 11 12 13 13 11 9 6 4 1 1 2 5 8 12 15 16 17 16 13 12 14 16 18 17 13 7 3 2 3 4 5 4 4 4 4 4 6 9 11 10 8 5 4 3 4 4 3 3 4 5 6 7 7 6 4 3 4 5 6 7 8 10 12 14 14 14 15 14 12 8 4 -0 -1 -0 2 4 6 6 4 2 2 3 7 10 11 11 9 6 4 5 6 6 6 7 7 7 6 5 4 5 5 7 8 9 9 9 9 9 10 11 11 12 13 14 15 16 16 16 15 15 14 13 nan
nan 7 6 5 5 6 7 8 8 8 9 10 11 12 13 12 11 10 9 10 11 12 10 8 7 7 6 7 8 9 10 10 10 9 9 9 9 10 10 11 10 9 9 11 14 16 17 16 14 13 13 14 13 11 9 8 7 6 6 6 7 7 6 7 8 9 9 10 9 9 9 10 9 7 5 4 3 3 6 8 11 13 15 16 16 15 14 13 12 11 10 8 6 5 6 8 10 9 8 6 4 4 4 4 5 8 9 9 9 8 8 7 7 6 5 5 5 6 7 7 7 6 5 4 5 5 6 6 7 8 11 13 14 15 14 13 11 7 3 -1 -2 -1 1 3 4 4 3 2 2 4 6 9 10 10 9 6 5 4 4 5 5 6 6 5 4 4 5 6 8 9 11 11 11 10 10 11 11 12 12 14 15 17 18 17 17 17 16 15 14 14 nan
nan 7 6 7 6 5 5 7 8 8 9 10 11 11 11 11 11 10 10 10 12 13 12 11 10 9 8 7 8 9 9 8 8 8 8 7 6 7 8 10 10 11 11 13 16 17 17 15 12 10 10 13 14 12 10 9 8 7 6 6 7 7 7 7 8 9 10 9 7 7 7 7 6 5 4 5 6 7 8 10 11 12 12 13 13 13 12 12 10 8 7 6 7 8 10 12 13 12 11 9 8 7 6 5 5 7 8 8 8 8 9 10 11 11 10 9 9 9 9 9 8 7 7 7 7 7 7 6 6 6 7 10 12 14 14 12 9 6 3 1 1 2 3 3 2 1 -1 -2 -1 0 2 3 4 4 3 3 2 2 3 3 4 5 5 5 5 6 8 10 11 13 13 12 12 11 11 12 12 13 15 17 19 20 19 19 18 17 16 15 15 15 nan
nan 6 7 9 9 7 5 5 7 10 11 11 11 10 8 8 9 11 12 11 11 13 14 14 13 10 9 9 9 9 8 7 7 7 7 5 4 4 6 9 11 13 14 16 17 18 17 15 12 8 8 10 12 12 11 10 9 8 6 6 7 8 8 9 9 9 9 7 6 5 5 5 5 4 4 6 7 8 8 9 9 8 7 7 8 9 10 11 11 10 10 10 10 10 11 13 14 14 14 13 11 10 8 7 7 8 8 6 5 5 6 8 10 11 12 12 11 11 10 9 8 7 7 7 7 6 6 5 5 5 5 7 8 10 11 10 8 6 5 5 5 6 6 5 3 0 -2 -3 -3 -3 -3 -2 -1 0 0 1 2 2 3 4 4 5 6 6 8 10 12 14 14 15 14 13 12 12 12 13 15 16 18 20 21 21 20 18 17 16 15 15 15 16 nan
nan 6 7 10 11 10 9 8 10 13 15 14 12 10 8 7 10 13 14 12 11 12 14 14 13 10 9 9 10 9 8 7 6 6 6 6 5 5 6 9 11 14 16 17 17 17 17 16 14 10 7 7 8 10 10 10 9 9 8 9 10 10 10 10 9 9 8 6 4 4 5 5 5 4 5 6 7 7 7 7 6 4 3 3 3 5 6 8 11 13 13 13 11 9 9 12 14 15 15 13 12 10 10 11 11 10 8 6 5 4 4 6 7 9 11 13 12 12 10 8 6 6 6 6 5 5 5 6 6 6 6 6 7 7 8 8 7 6 6 6 7 7 8 7 5 1 -1 -1 -1 -1 -1 -1 1 2 2 3 4 5 6 6 7 8 9 10 12 13 15 16 16 15 14 13 13 13 14 15 17 19 20 20 20 19 18 16 16 15 15 15 15 16 nan
nan 7 7 9 12 14 14 14 14 15 15 14 12 10 8 8 10 13 13 10 9 9 11 12 12 10 9 9 9 7 6 5 5 6 7 7 8 9 10 11 13 14 15 15 15 16 17 17 16 13 9 7 7 8 10 11 11 11 12 12 13 14 13 11 10 9 7 5 4 5 5 4 4 4 6 7 7 7 7 6 5 4 3 2 1 1 1 4 7 11 14 14 11 8 7 10 13 15 15 13 11 10 10 11 11 10 8 7 7 7 7 8 9 10 12 13 12 12 10 7 5 4 4 4 5 6 7 9 9 10 9 8 8 8 8 8 7 7 6 7 7 8 8 8 6 4 3 3 3 4 4 5 6 6 6 7 8 9 10 11 12 13 14 15 16 17 17 16 15 13 13 13 13 14 15 17 18 18 18 17 16 15 14 14 13 13 14 14 14 14 nan
nan 7 7 8 12 15 17 17 16 14 12 11 11 9 8 7 8 9 10 9 7 7 8 10 11 11 9 8 7 5 4 3 4 6 7 9 11 12 13 14 14 13 12 12 13 15 16 17 17 16 12 8 7 8 10 12 13 14 14 15 16 17 15 13 11 9 7 7 7 8 7 6 5 5 6 8 8 8 7 7 6 6 5 4 2 -1 -2 -1 3 8 12 14 12 9 7 9 12 14 15 13 10 8 8 8 8 8 8 8 8 9 10 10 11 12 12 13 12 12 11 9 7 6 6 6 7 8 10 11 12 12 12 11 10 10 10 9 8 8 7 8 8 9 9 9 8 7 6 7 7 8 9 9 9 9 9 10 12 14 15 17 18 18 18 18 17 16 15 13 12 12 12 13 14 15 16 17 17 15 14 12 11 11 11 11 11 11 11 11 11 11 nan
nan 6 6 7 10 14 16 16 14 11 9 8 9 8 6 5 5 6 8 9 8 8 8 10 12 11 8 7 6 5 4 3 4 6 7 8 10 12 13 14 13 11 8 7 9 12 15 17 18 16 13 10 8 9 11 12 14 15 15 16 17 17 16 14 12 10 10 11 13 13 11 9 7 7 7 8 8 7 6 6 6 7 7 6 5 3 1 1 3 6 10 13 13 10 8 9 11 14 15 13 10 8 8 8 7 7 6 7 8 10 11 11 11 11 12 13 13 14 13 12 11 10 9 8 8 9 11 12 13 13 13 12 11 11 10 10 9 9 10 10 10 11 11 12 11 11 11 11 11 12 12 12 11 10 11 12 15 18 21 22 21 20 18 15 13 12 10 10 10 11 13 14 15 16 16 15 14 11 9 8 8 8 9 9 10 10 9 9 9 9 nan
nan 6 5 6 8 11 14 14 13 10 8 8 8 7 6 5 5 7 9 10 9 9 9 10 11 10 7 5 6 7 6 6 5 6 8 8 9 10 11 11 10 9 6 4 5 8 12 15 16 15 12 9 9 9 10 11 13 15 16 16 17 17 16 14 12 11 13 15 17 16 15 13 11 9 9 9 8 6 4 4 5 7 7 7 8 8 8 6 5 6 7 10 11 10 9 9 12 14 14 12 10 10 10 9 8 6 5 6 8 10 11 11 10 10 11 13 14 14 15 14 13 12 11 10 9 9 10 11 13 13 13 13 12 11 10 10 11 12 12 13 14 14 14 14 13 13 13 13 13 13 13 12 11 11 12 15 18 22 23 22 18 15 12 10 9 8 9 9 11 12 13 15 16 16 15 13 10 8 7 6 7 8 8 9 9 9 9 9 9 9 nan
nan 6 6 6 7 9 12 13 12 10 8 8 8 8 7 6 7 8 9 10 9 8 8 8 9 8 6 6 6 8 8 8 8 8 9 9 8 8 9 10 10 8 6 4 4 5 8 11 12 12 10 9 8 7 8 10 12 14 16 16 15 15 15 14 12 12 14 17 19 19 18 17 15 13 11 9 8 6 5 5 6 7 7 8 10 11 11 9 7 6 6 7 8 9 9 10 11 13 12 11 10 12 12 10 8 5 4 3 6 9 10 10 10 10 10 11 12 13 14 15 14 13 11 10 9 10 11 12 13 15 15 15 14 12 11 11 12 13 14 15 16 15 15 14 13 12 12 11 11 12 12 11 11 11 13 16 19 20 18 14 10 8 7 6 7 8 10 10 11 12 14 15 17 17 14 11 8 6 6 7 8 8 9 10 10 10 10 10 10 10 nan
nan 10 9 8 8 8 10 12 12 10 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 7 7 7 7 7 8 9 11 10 8 7 8 9 10 10 8 6 5 5 6 8 10 11 10 8 7 7 7 8 10 12 14 13 13 12 12 11 11 12 15 17 19 21 21 20 18 15 11 9 8 8 8 9 9 8 8 9 12 12 11 9 7 6 6 6 7 8 9 10 10 10 9 9 10 12 12 10 7 3 1 0 3 6 9 10 9 9 10 10 10 10 12 14 13 12 10 10 12 14 15 17 18 18 18 17 16 14 13 12 13 13 14 14 15 15 14 13 12 11 10 10 10 10 10 10 11 12 13 13 13 11 7 4 4 4 5 7 8 10 10 11 11 13 15 17 18 17 13 10 8 7 7 8 9 9 10 10 11 11 11 10 11 11 nan
nan 13 13 11 10 10 11 12 12 10 8 8 8 9 10 9 9 8 7 6 7 8 8 8 9 10 10 9 8 7 6 5 7 9 11 10 7 5 6 7 9 11 11 10 9 8 9 10 11 12 11 10 8 7 7 7 8 10 11 10 9 8 7 7 7 10 13 16 18 20 21 20 18 16 12 9 10 12 14 15 14 11 10 12 15 14 12 9 6 6 6 6 6 7 9 9 9 8 7 8 10 11 11 9 6 3 0 -0 1 5 7 8 9 9 10 11 10 9 9 9 9 9 10 12 16 20 22 23 23 22 20 19 17 15 14 13 12 12 12 12 13 14 14 13 12 11 10 10 10 10 10 10 10 10 9 7 5 3 1 1 3 5 6 8 10 10 10 10 11 14 17 19 19 17 12 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 nan
nan 14 14 14 13 13 13 12 12 10 7 7 7 8 8 8 7 6 6 6 7 8 8 7 6 6 7 9 10 10 9 9 9 11 11 8 5 4 4 5 7 9 11 12 12 12 13 13 14 14 13 11 9 8 7 6 7 8 8 7 6 4 3 2 3 6 9 12 14 16 17 18 17 15 13 12 13 15 17 18 17 15 15 17 18 17 14 10 8 7 6 5 6 6 7 8 8 8 7 8 10 11 10 9 6 4 2 1 2 4 7 8 9 10 11 12 11 9 7 6 7 10 13 16 20 23 24 24 24 22 20 18 16 15 13 12 12 11 11 11 12 13 13 13 13 12 11 10 9 8 7 6 6 5 4 3 2 2 2 4 6 7 8 9 10 9 9 10 12 15 19 21 19 16 12 9 8 8 8 9 9 10 10 11 11 11 11 11 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
91 93 96 100 103 101 100 97 97 100 107 115 118 117 112 105 96 87 80 73 65 56 48 42 36 28 18 9 4 4 7 13 20 22 21 28 45 62 76 111 146 171 236 230 167 98 54 51 70 73 64 49 35 29 31 31 32 49 43 45 53 67 77 79 72 66 56 54 46 33 25 23 21 16 8 1 1 0 0 4 11 25 41 42 40 49 51 55 65 73 75 71 62 57 75 88 77 53 30 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 9 63 209 417
80 85 92 98 102 102 98 91 86 90 98 107 115 118 117 109 98 91 86 84 82 76 65 54 42 37 27 16 8 4 4 5 9 17 20 23 33 47 64 91 122 132 214 228 186 126 85 78 91 89 68 50 41 42 45 45 47 55 41 39 53 69 73 70 69 70 69 63 54 40 26 19 15 10 5 1 0 0 0 1 11 32 46 43 42 49 58 74 103 120 113 90 73 78 110 120 84 57 33 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 49 185 401 594
74 82 90 96 98 97 92 84 82 87 97 106 115 120 119 112 102 92 89 92 95 91 82 69 52 45 33 23 14 6 3 3 4 9 18 23 28 36 46 64 92 113 167 208 204 158 115 104 107 99 78 63 56 59 64 63 61 56 44 49 60 71 69 66 74 79 75 71 61 45 27 16 9 6 3 1 0 0 0 2 15 37 48 46 48 63 88 119 156 166 142 119 113 117 121 106 70 60 42 25 14 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29 150 373 608 750
71 76 82 86 86 83 80 76 72 75 86 99 114 124 125 118 105 93 87 92 100 103 96 81 65 53 39 30 21 12 5 2 2 5 13 24 30 34 39 52 69 90 126 167 204 178 147 134 127 113 91 74 66 66 78 77 61 44 39 53 68 71 59 71 88 88 81 74 64 49 30 15 7 3 1 0 0 0 0 3 24 45 60 68 84 117 161 199 218 204 172 167 170 154 118 85 75 76 55 37 24 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 91 304 560 744 848
74 74 74 72 72 72 71 71 73 78 83 87 100 113 120 117 105 92 85 86 95 104 99 84 69 58 46 34 27 20 11 4 2 3 10 24 36 40 43 52 57 66 94 139 196 207 193 175 151 122 97 79 74 88 112 105 64 42 42 54 65 65 53 83 99 93 82 71 58 44 27 13 5 2 0 0 0 0 1 7 31 63 103 137 186 247 298 318 297 253 220 212 209 182 136 103 93 78 58 41 27 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 26 172 423 633 710 727
82 80 77 74 73 74 74 75 82 89 91 90 90 97 105 106 99 90 83 81 84 92 91 80 68 58 49 41 33 26 18 8 3 2 9 25 42 51 54 60 61 59 69 104 155 198 214 221 175 130 98 83 91 123 154 141 73 52 50 59 62 58 64 94 100 94 81 64 45 29 16 7 2 0 0 0 0 0 0 5 27 83 161 238 342 423 458 450 415 382 371 333 266 212 157 118 94 73 58 40 21 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 16 188 441 593 591 566
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86 86 88 92 99 106 106 95 88 91 99 104 104 95 84 77 76 79 80 78 72 67 65 64 63 59 51 44 40 36 30 22 12 6 11 29 49 63 69 72 76 79 72 69 102 150 200 222 191 153 130 138 187 228 207 135 70 55 74 82 59 86 116 128 120 98 59 27 11 5 2 1 0 0 0 0 0 0 0 0 14 83 238 452 662 740 704 649 600 553 496 429 353 275 223 173 133 98 70 49 31 16 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 74 215 345 459 562
92 90 90 97 110 121 120 109 95 86 92 100 106 101 89 77 70 71 75 77 73 67 62 58 57 56 51 44 42 41 36 28 18 11 14 29 51 68 76 77 78 79 80 71 90 132 175 193 184 163 151 174 241 268 214 134 89 85 85 73 61 111 128 121 102 71 32 10 3 2 0 0 0 0 0 0 0 0 0 0 14 96 288 555 786 875 821 731 627 529 472 443 391 324 264 204 154 106 73 52 34 19 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 9 90 189 310 444
106 100 97 100 112 124 129 122 109 98 95 96 101 101 89 76 68 66 71 75 75 70 63 57 53 51 50 48 47 48 45 36 25 18 19 29 49 70 82 89 87 82 81 75 80 112 156 179 179 172 179 223 289 299 211 130 108 108 98 86 90 137 125 99 71 41 15 3 0 0 0 0 0 0 0 0 0 0 0 0 13 108 348 676 938 1015 953 849 780 653 525 469 420 342 267 202 141 96 69 52 37 24 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 0 32 98 196 319
125 119 113 110 113 123 136 137 127 114 102 94 96 102 96 86 72 66 67 71 73 72 65 58 52 50 51 56 56 59 55 44 31 23 22 30 47 68 85 98 92 85 84 84 85 101 141 171 181 184 218 284 332 301 198 119 114 122 106 95 117 149 127 84 48 23 8 2 0 0 0 0 0 1 0 0 0 0 0 0 14 122 402 781 1058 1106 984 867 940 862 578 467 399 308 228 167 110 82 64 50 37 26 16 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 7 64 166 239
148 146 140 133 129 133 145 155 150 135 116 103 100 102 96 88 74 67 66 68 70 70 66 58 54 53 55 59 67 74 69 56 39 26 23 31 45 63 81 96 95 87 87 88 88 101 133 168 185 205 266 339 364 304 201 134 130 124 101 109 144 165 136 80 39 17 6 1 0 0 0 0 0 9 30 41 26 6 0 3 25 147 451 804 1030 1020 852 744 852 868 503 409 334 252 183 130 91 72 56 44 33 24 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 46 184 267
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166 170 170 167 163 152 142 140 141 135 120 106 103 96 94 92 84 77 73 73 72 67 63 61 62 64 65 66 74 78 80 74 60 43 30 26 37 55 72 86 96 103 100 83 84 88 106 135 173 240 355 422 335 238 206 189 159 137 142 101 144 144 113 76 47 26 12 5 1 0 0 0 1 15 98 324 446 338 231 192 254 415 629 803 803 661 521 446 419 359 247 186 168 141 113 103 83 61 46 37 30 23 16 9 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 4
168 173 171 166 163 153 138 129 126 123 117 107 98 94 93 91 88 86 86 84 78 68 63 61 60 62 68 73 73 76 74 71 63 50 39 35 38 53 68 75 87 96 92 76 70 63 83 117 160 243 352 410 350 260 231 194 154 130 115 88 91 92 76 54 36 21 11 4 2 0 0 0 1 19 112 290 423 398 335 308 347 459 562 600 569 498 437 398 365 309 237 180 155 123 105 102 81 59 43 33 25 21 16 9 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
182 189 188 181 172 155 138 127 121 116 112 108 100 92 90 93 94 96 101 102 95 81 71 67 61 61 70 78 79 78 74 74 72 62 52 45 44 51 61 65 72 78 76 66 52 44 61 101 152 251 361 407 358 286 273 210 161 132 114 90 63 59 50 36 23 14 7 2 0 0 0 0 0 12 101 240 341 373 383 365 372 444 478 451 421 410 392 378 354 301 248 210 181 137 108 102 80 59 44 36 32 28 21 11 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
200 214 215 201 177 153 136 126 122 117 113 111 100 92 95 103 107 115 120 119 108 91 77 71 64 71 83 91 91 85 78 78 80 74 61 51 47 50 55 57 61 64 65 59 41 25 37 81 144 263 373 400 355 311 296 213 164 130 119 95 64 47 38 26 15 7 3 1 0 0 0 0 0 6 58 155 239 288 323 320 327 372 397 396 392 398 398 386 345 269 266 249 207 157 116 104 82 61 46 36 32 31 28 20 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 0 0 0 0 0 0 0 0
214 227 226 209 179 151 136 130 130 131 124 111 99 99 107 117 131 141 133 119 102 85 74 67 64 70 85 98 103 94 81 77 81 81 69 55 49 48 50 52 53 55 59 58 37 18 22 62 136 277 392 416 391 354 300 212 157 107 116 94 63 43 31 19 9 3 0 0 0 0 0 0 0 1 11 57 120 168 196 203 215 268 319 358 388 412 422 403 338 239 279 280 237 182 136 108 85 65 50 39 35 34 30 24 17 10 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
214 219 215 204 182 154 143 138 138 137 129 112 104 106 115 133 148 149 132 110 92 81 73 67 65 70 81 99 110 100 86 79 79 80 76 64 53 49 47 44 41 42 46 49 33 15 13 48 138 286 420 431 398 361 291 208 148 91 117 105 71 45 28 14 6 2 0 0 0 0 0 0 0 0 0 10 36 64 86 109 148 213 286 340 375 403 427 424 362 262 299 207 196 161 130 112 93 74 59 46 35 30 26 22 18 15 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 0 0 0 0 0 0 0 0 0 0
198 193 185 179 175 152 150 148 146 141 129 115 111 114 126 143 150 143 126 106 92 83 78 75 73 76 85 98 109 105 92 85 83 83 82 75 64 54 45 39 34 31 31 33 31 13 6 37 138 299 440 449 373 337 278 206 141 97 102 108 68 43 24 10 4 1 0 0 0 0 0 0 0 0 0 0 6 13 23 47 101 182 262 310 332 355 387 407 384 320 283 127 135 111 115 122 110 87 67 51 41 35 30 23 17 14 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
163 153 146 155 156 145 147 152 149 140 127 117 116 121 131 141 142 134 121 108 97 91 87 85 84 86 94 102 106 107 98 92 91 90 88 83 75 63 51 44 35 27 23 24 28 11 4 26 140 329 485 507 436 386 273 189 144 111 98 101 59 37 18 7 1 0 0 0 0 0 0 0 0 0 0 0 1 1 3 15 57 125 194 237 261 286 313 344 358 328 242 108 97 95 136 156 137 101 73 57 47 46 39 29 17 8 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
131 125 122 132 140 141 145 154 153 137 123 117 118 124 132 140 142 136 126 117 108 102 97 96 97 102 111 119 120 115 107 98 94 93 93 91 85 74 60 47 36 28 23 22 22 12 3 17 144 371 544 572 488 381 230 156 137 115 99 86 52 30 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 25 70 119 155 181 213 234 268 301 300 225 111 99 140 190 194 156 107 74 60 55 54 51 38 18 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
127 125 121 127 140 143 149 154 148 131 117 114 118 125 135 142 146 148 142 137 130 122 117 117 120 126 140 150 147 135 121 107 97 98 102 103 97 86 70 52 40 29 23 22 19 11 6 20 146 411 592 601 481 323 193 140 133 124 111 82 47 24 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 28 57 86 115 142 162 196 236 269 249 205 191 200 196 169 128 91 68 61 63 72 74 46 27 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 0 0 0 0 0 0 0 0 0 0 0
142 141 141 145 151 151 153 150 139 123 114 114 120 130 142 153 160 164 163 159 153 149 145 144 146 147 155 168 170 160 141 121 106 102 108 111 106 94 78 61 46 30 20 23 20 11 7 35 154 436 623 595 449 287 176 143 136 137 127 85 44 19 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 26 53 74 87 104 132 171 219 237 229 204 176 139 108 88 74 69 68 70 69 55 43 35 16 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
159 157 157 153 150 152 147 136 125 116 112 114 122 136 157 172 180 183 183 181 179 177 173 167 163 161 165 175 181 174 156 133 115 108 108 113 108 93 78 64 46 26 15 22 19 12 9 39 165 429 670 630 434 249 152 134 135 128 115 73 36 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 37 50 56 66 85 116 149 165 157 139 121 102 91 88 86 84 79 73 64 51 52 32 13 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
166 161 157 150 141 134 124 113 107 106 108 114 125 144 171 190 201 204 206 206 204 197 187 180 175 169 167 172 180 181 170 144 125 111 105 108 106 92 80 66 46 25 14 19 18 12 10 31 154 401 641 643 387 207 148 134 128 115 82 51 28 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 24 34 43 55 74 94 104 107 108 107 105 103 103 103 100 98 85 74 59 37 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
162 156 150 144 129 115 105 100 99 100 107 116 131 152 177 198 218 221 217 214 208 196 188 187 185 179 171 172 179 185 182 150 128 112 103 103 104 97 87 72 47 26 18 18 18 13 11 21 123 357 581 596 364 181 142 116 108 92 59 40 27 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 25 35 50 72 88 101 118 127 124 116 110 109 109 113 95 74 41 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 0 0 0 0
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161 146 133 124 114 105 100 98 99 102 109 123 143 158 168 182 193 190 185 176 193 209 213 218 222 215 193 172 186 196 181 148 122 103 98 107 112 107 96 81 60 41 26 22 19 16 14 19 71 315 524 510 327 159 121 95 81 55 40 29 18 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 12 20 28 50 76 95 112 124 122 112 98 79 56 32 14 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
165 143 127 115 107 100 98 97 97 99 106 123 145 162 168 175 186 194 189 175 176 181 190 203 212 203 180 178 193 193 171 144 121 107 102 114 114 104 96 88 71 47 29 25 21 20 16 20 77 308 512 466 278 146 119 95 77 47 35 21 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 13 17 21 25 30 49 74 97 118 134 136 115 93 74 47 22 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
166 137 116 105 102 101 100 98 96 96 105 127 157 182 195 200 198 196 189 177 171 172 186 195 192 179 167 169 182 178 154 132 117 112 114 121 112 100 96 89 71 47 30 32 27 24 16 21 95 284 463 387 214 137 107 80 67 44 34 19 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 19 27 32 38 48 68 90 95 96 96 89 74 56 44 36 21 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 0 0 0 0 0 0 0 0 0
162 131 109 102 104 105 105 103 102 108 117 146 184 219 245 256 242 217 190 172 165 170 184 180 162 147 139 143 157 163 144 122 114 119 129 127 112 101 102 91 73 51 37 41 36 31 19 25 97 234 346 305 170 122 79 58 54 45 36 25 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 17 27 38 46 55 67 79 80 64 49 35 23 13 11 10 10 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
153 127 109 103 106 111 115 118 123 134 148 175 210 241 265 276 265 242 213 205 196 188 182 169 145 127 124 133 160 176 160 135 132 138 142 133 116 108 111 97 80 66 53 51 50 38 23 28 100 214 289 255 139 104 56 42 45 43 36 28 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 31 36 44 48 56 49 38 30 17 8 5 2 0 1 4 5 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
140 121 109 105 108 119 129 143 153 169 187 203 221 241 257 259 250 239 226 247 237 205 179 172 169 159 148 155 186 196 183 168 159 154 148 130 116 114 117 107 89 81 67 66 59 36 21 30 117 235 285 232 133 94 43 37 42 40 28 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 31 48 48 40 31 25 14 7 4 1 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
127 116 109 108 116 130 143 165 176 196 213 220 221 227 234 229 223 223 222 216 176 145 142 163 183 181 158 146 175 187 188 183 175 169 158 129 118 121 123 113 98 90 75 73 52 25 18 42 131 259 297 227 136 85 51 42 44 34 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 34 51 43 19 7 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
122 114 112 117 129 141 152 170 175 205 216 213 205 197 194 195 203 210 210 196 161 118 142 194 221 209 172 145 163 183 195 193 191 185 167 135 130 136 132 117 98 83 72 64 34 14 17 56 139 256 284 210 135 88 65 56 58 39 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 20 34 23 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
126 119 122 133 133 141 154 169 180 194 197 193 184 179 185 200 218 207 195 198 202 192 203 268 278 244 199 161 165 202 204 211 210 198 173 147 143 142 122 99 76 66 68 49 21 12 27 73 143 212 225 158 118 93 77 67 65 54 22 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 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 0 0 0
138 129 133 142 134 145 158 171 180 183 181 178 167 163 178 205 216 172 164 181 185 200 245 314 303 248 233 228 230 240 226 236 224 202 171 140 121 109 84 62 53 64 62 33 17 21 45 92 139 160 141 93 83 77 61 52 53 53 31 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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
149 136 136 143 150 160 161 167 173 175 173 166 156 156 182 223 234 201 178 201 193 218 264 300 285 240 252 263 270 271 254 231 195 162 117 81 60 51 49 53 55 59 41 22 25 39 70 118 145 132 92 56 51 53 41 33 32 33 28 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 0 0 0 0 0 0
146 137 140 150 157 159 156 164 174 178 173 164 155 150 160 187 219 230 225 212 186 208 251 279 273 250 244 256 281 262 214 158 108 64 34 20 14 14 24 39 42 36 17 19 36 61 98 148 161 127 75 42 36 33 26 17 13 13 12 7 2 0 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 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
133 133 146 157 153 147 147 153 162 171 169 166 164 167 176 189 209 231 242 234 217 246 272 291 284 259 240 248 272 191 114 61 28 8 3 2 2 3 7 10 12 14 5 19 41 77 120 147 143 103 57 31 22 15 6 4 2 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 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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