Vorticity
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nan 9 12 13 12 10 9 8 8 9 13 15 13 11 12 14 15 15 14 12 11 11 12 12 11 9 6 3 1 0 2 5 8 9 8 7 6 5 5 6 9 11 14 17 19 20 18 14 11 8 5 2 3 5 8 10 10 9 8 7 7 7 6 6 6 8 10 12 12 11 12 14 14 13 11 10 9 7 4 3 4 6 7 8 8 9 10 10 11 12 13 15 18 19 17 14 10 9 13 16 16 12 6 3 4 7 11 11 8 5 5 6 7 8 8 7 6 6 8 12 16 19 19 17 13 9 8 9 11 10 8 6 7 9 10 10 11 10 9 7 7 6 7 8 9 7 6 7 8 8 8 8 8 8 7 7 11 14 15 12 7 1 -0 3 6 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 7 6 5 5 6 6 6 6 6 7 nan
nan 9 11 12 11 8 7 6 5 8 12 15 14 12 13 14 13 13 13 12 11 11 12 11 10 8 6 3 1 1 2 5 9 11 12 11 9 7 6 8 10 13 16 18 21 22 20 16 11 7 4 2 1 3 6 9 9 9 7 5 5 5 6 6 6 8 10 12 12 12 13 15 16 15 12 11 11 9 6 4 4 5 6 7 7 8 9 10 10 11 12 13 14 16 17 15 12 13 15 18 16 12 7 3 3 5 7 8 7 6 6 7 8 10 11 9 4 0 0 4 10 16 20 21 18 15 16 18 16 12 7 4 3 3 2 4 9 14 15 12 10 8 6 5 5 6 6 7 7 7 7 7 8 8 9 9 10 10 9 6 1 -3 -3 0 5 6 6 7 7 7 7 7 7 7 8 8 8 8 7 6 6 5 5 6 6 7 7 7 7 8 nan
nan 10 12 13 13 10 7 5 5 8 11 13 13 13 14 13 12 10 11 11 12 12 12 11 9 7 6 5 3 3 4 5 7 10 12 12 10 7 6 8 11 14 16 17 18 19 19 17 13 8 5 4 5 6 8 9 9 8 7 6 4 5 6 7 7 9 10 11 11 12 14 15 15 14 11 10 11 10 7 5 5 5 7 7 7 6 6 7 9 10 11 12 13 15 16 16 15 14 14 13 12 10 6 3 1 1 3 5 7 7 7 7 9 12 15 14 7 -1 -4 -3 2 10 17 21 21 22 23 24 18 11 5 2 1 -0 -1 1 6 10 12 11 9 6 5 4 4 6 7 8 8 7 6 6 8 10 12 13 12 11 8 5 2 -1 -1 2 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 6 6 7 7 7 7 8 8 nan
nan 12 14 14 14 12 9 7 8 10 12 12 13 15 15 14 12 9 9 10 11 12 12 11 9 8 7 6 5 5 5 5 6 6 8 9 9 7 6 8 11 14 16 16 15 15 16 15 13 10 7 6 7 9 10 10 9 8 8 7 6 5 6 8 9 10 10 9 9 11 13 14 13 11 9 7 7 7 6 5 5 6 7 8 7 5 5 6 8 10 11 13 14 14 15 14 13 11 11 10 10 9 6 3 1 0 2 5 7 7 7 8 10 14 17 17 11 2 -4 -6 -3 3 11 16 18 20 20 18 14 10 7 7 7 6 5 5 6 7 7 7 7 6 6 6 7 8 8 8 7 7 6 6 8 12 15 17 16 13 10 7 6 5 5 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 nan
nan 15 14 13 12 10 9 8 10 12 12 12 14 16 16 15 13 11 9 10 11 12 11 10 9 7 6 6 6 5 5 5 5 4 5 6 8 7 6 7 11 14 16 16 14 12 10 10 10 10 9 8 8 9 10 11 11 9 8 7 7 6 6 8 10 10 9 8 8 9 11 12 11 9 7 6 6 6 6 5 5 6 7 8 7 6 5 6 7 9 12 13 14 14 12 10 9 9 9 10 11 10 6 3 1 1 3 6 8 8 8 8 10 13 17 18 15 7 -0 -4 -3 1 6 11 14 15 14 12 10 10 12 15 16 15 13 11 10 8 7 7 7 8 9 10 11 10 9 7 6 6 5 6 10 14 17 17 16 13 11 10 10 9 9 8 7 7 8 8 8 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 13 12 10 7 6 6 7 10 13 13 13 14 15 16 15 13 11 10 10 12 12 10 8 7 6 6 5 5 5 5 5 5 4 5 6 7 8 7 7 10 13 15 15 14 10 8 7 8 9 10 10 9 9 9 11 12 12 9 8 7 6 6 7 8 9 9 8 8 9 10 10 10 9 8 7 6 7 7 6 6 6 7 8 7 7 6 7 7 9 12 14 15 15 13 12 10 9 9 10 12 11 9 5 2 1 2 6 9 10 10 10 9 10 12 14 14 11 5 1 0 1 4 7 10 11 11 10 8 9 13 17 18 17 15 14 14 13 11 10 9 10 12 13 13 11 9 7 7 6 6 7 11 15 15 14 13 12 12 13 13 11 9 8 8 8 8 9 9 8 6 5 4 4 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 nan
nan 11 9 6 4 3 4 7 10 13 14 14 14 14 13 12 11 10 10 11 12 11 9 7 6 5 4 3 2 4 5 6 6 7 7 8 9 10 10 9 10 11 13 14 14 12 10 9 9 9 9 10 9 8 8 9 11 11 10 8 8 8 8 7 6 6 8 8 8 9 10 10 9 8 8 8 7 7 8 8 9 9 8 8 7 7 7 7 8 9 12 14 16 17 17 15 12 9 8 9 12 14 15 11 5 2 1 5 10 13 12 11 9 7 7 8 10 11 9 6 4 3 4 5 6 7 8 9 8 7 9 12 13 14 14 14 15 14 13 12 11 12 13 14 14 13 11 9 8 7 7 8 10 12 12 11 11 11 12 14 15 13 10 9 8 8 9 9 9 8 7 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 8 6 4 3 3 5 9 12 15 16 15 14 13 12 11 10 10 10 10 10 10 8 6 5 4 2 1 1 3 5 6 7 8 9 10 11 13 13 12 11 11 12 13 14 14 14 12 10 8 8 8 8 7 7 8 9 9 10 10 11 11 10 8 6 6 7 8 9 9 9 9 8 7 7 7 7 8 9 11 12 12 11 9 7 6 6 7 8 9 11 14 16 17 16 14 11 8 7 8 11 15 17 13 8 4 3 7 11 14 14 12 8 6 6 6 7 9 10 9 7 5 5 5 5 5 5 5 5 4 4 6 8 9 10 11 11 11 11 10 10 11 13 14 15 14 13 10 9 8 7 7 8 8 8 9 9 9 11 14 15 13 11 10 9 8 9 9 9 8 7 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 5 5 5 6 7 10 13 15 17 17 15 13 12 12 11 10 10 10 9 8 8 7 6 5 4 4 5 6 6 6 6 6 8 10 11 13 14 13 13 12 12 12 13 14 15 13 10 7 6 6 6 6 6 7 8 8 9 10 11 10 10 8 7 7 8 9 9 9 8 7 7 6 6 7 8 8 9 11 12 14 13 11 8 7 6 6 7 8 10 12 14 13 11 9 8 7 7 7 9 11 12 12 9 8 7 8 10 12 12 10 7 6 7 8 8 9 9 9 8 7 8 8 8 7 6 5 4 3 3 3 5 6 5 4 3 5 6 7 7 7 9 11 13 14 13 11 10 9 8 7 6 6 6 5 5 5 8 12 14 14 12 10 9 8 8 9 9 8 8 7 6 6 5 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 nan
nan 5 5 5 5 5 7 9 12 16 18 20 18 14 12 11 10 10 10 9 8 8 8 9 9 8 8 8 9 10 9 8 6 6 7 8 10 11 12 13 14 14 13 12 12 14 15 14 12 9 7 6 6 6 6 7 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 7 6 6 7 8 8 7 7 8 10 12 11 10 8 7 6 6 7 8 9 10 9 7 7 7 7 7 5 5 7 9 12 12 11 8 7 7 8 9 6 4 4 8 12 12 11 9 8 8 9 10 10 10 9 9 8 7 5 5 5 5 4 2 0 -1 1 4 5 4 4 5 7 10 11 12 12 12 12 10 8 6 5 4 3 3 4 7 12 14 14 13 11 8 7 8 8 8 8 8 8 7 6 6 5 6 6 6 6 6 7 7 7 8 8 8 8 8 7 nan
nan 6 3 2 2 3 6 9 13 17 20 21 18 14 11 9 9 9 9 9 8 8 8 9 9 9 8 8 9 11 12 11 9 7 6 7 9 10 11 12 14 14 13 12 11 13 16 17 15 13 10 8 7 7 7 7 8 8 7 6 5 5 5 6 8 9 9 9 8 8 9 9 8 7 7 7 7 7 4 1 0 2 6 9 10 9 8 7 7 7 8 8 8 7 6 6 6 7 7 5 5 8 12 14 14 11 7 5 5 6 5 2 0 3 9 15 16 13 10 8 8 10 11 12 12 11 11 10 9 9 9 9 7 5 3 2 1 3 4 6 6 6 6 6 7 8 10 12 14 15 13 10 7 5 3 3 4 6 9 12 14 13 12 10 8 7 7 8 8 8 8 8 8 7 6 5 6 6 6 6 7 7 7 7 8 9 9 9 9 9 nan
nan 4 0 -2 -0 3 7 11 14 17 20 20 16 12 8 7 8 8 9 9 8 8 8 8 8 8 7 8 8 10 13 14 12 9 7 7 9 9 10 11 12 13 12 10 10 11 14 16 15 13 11 9 8 7 7 8 8 7 6 5 5 5 6 7 8 8 8 8 7 7 8 8 7 6 6 6 6 6 4 1 -3 -3 -0 5 8 9 9 9 9 9 10 10 9 8 6 6 6 7 8 8 9 12 14 15 14 11 8 6 6 7 7 4 2 5 11 17 18 15 11 9 9 10 12 13 13 13 12 12 12 12 12 11 8 6 5 5 5 6 6 8 10 11 10 8 7 7 8 10 12 13 12 10 8 6 4 4 5 7 10 12 13 13 11 9 7 7 8 8 7 8 8 7 7 6 5 5 6 6 7 7 7 8 8 8 9 10 10 10 10 10 nan
nan 3 -1 -2 0 5 9 13 15 16 19 18 14 10 7 6 7 9 10 10 9 7 7 7 7 8 9 10 10 12 14 16 16 13 10 9 9 9 9 10 11 12 11 9 8 9 10 11 11 10 9 9 8 8 8 8 8 7 6 6 6 7 8 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 4 1 -1 0 4 8 10 11 11 11 11 11 11 10 8 7 6 7 10 11 12 12 14 14 14 13 12 10 9 9 10 12 11 8 9 12 16 19 17 14 11 10 11 11 12 11 11 12 13 14 14 12 10 8 6 5 5 6 7 8 11 14 16 16 13 10 8 7 6 6 7 7 7 6 6 7 8 9 11 12 14 14 13 10 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 8 8 8 9 9 9 10 10 10 10 10 nan
nan 3 2 2 4 8 12 14 15 16 17 16 12 9 7 6 7 9 10 11 10 7 6 6 8 10 13 14 13 13 15 17 18 17 15 12 10 9 9 10 10 11 10 8 7 8 9 8 8 9 10 10 10 9 9 8 8 7 7 7 8 9 10 10 10 8 7 6 5 5 5 6 6 7 8 7 7 7 8 8 7 5 5 7 10 13 13 12 12 11 11 11 10 8 7 6 7 11 15 17 16 16 15 13 12 11 10 9 9 11 13 13 11 10 11 13 15 16 15 13 12 12 12 11 9 8 9 11 14 14 12 9 7 5 4 5 7 9 11 14 17 19 19 17 14 10 7 4 3 2 3 4 5 7 10 13 14 16 16 17 16 14 11 9 8 8 9 9 9 9 8 8 7 6 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 nan
nan 5 7 8 10 13 16 16 15 15 15 15 12 8 7 6 7 8 8 9 8 7 6 6 8 11 14 15 14 13 14 15 17 17 16 14 11 9 9 9 10 10 9 8 7 7 7 7 8 10 12 12 12 10 8 9 9 9 9 9 9 9 9 8 8 7 6 5 4 4 5 6 6 7 8 9 9 9 9 11 11 10 10 12 13 14 14 12 10 9 9 9 8 7 6 5 6 9 13 16 17 16 15 13 10 8 6 5 6 7 8 8 8 6 7 8 9 10 10 11 13 14 14 13 10 7 7 10 12 13 10 7 5 4 5 7 11 14 16 16 16 17 18 19 17 13 7 4 2 2 2 3 5 8 12 16 17 17 17 17 16 13 11 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 9 10 10 10 9 9 9 9 10 9 nan
nan 7 9 11 13 15 16 17 16 16 17 16 13 10 8 6 6 7 7 7 7 7 7 7 9 11 13 13 13 13 12 12 13 14 14 12 10 9 9 9 10 10 10 10 9 7 6 6 8 10 12 13 12 10 9 10 12 11 11 10 10 9 8 7 6 5 4 4 4 4 6 6 6 6 7 8 9 9 10 12 13 14 14 15 15 15 13 11 9 8 8 7 7 6 5 5 6 6 7 9 11 13 13 11 8 6 3 2 2 3 3 4 4 3 3 4 4 4 4 6 10 13 15 14 12 9 9 9 10 10 9 7 6 7 9 11 14 16 16 15 14 13 15 17 17 13 8 4 2 2 1 2 3 7 11 14 15 14 13 13 13 13 11 10 10 10 10 10 10 10 11 12 13 13 12 10 9 8 7 8 9 10 10 10 10 10 10 10 9 9 nan
nan 10 10 11 11 11 13 16 19 21 22 20 16 12 9 6 5 6 6 6 7 8 8 9 10 11 11 12 14 15 14 12 11 10 10 9 8 7 8 8 9 10 11 11 10 8 6 5 7 9 13 15 15 13 11 12 13 13 12 11 10 10 10 9 7 5 4 4 5 6 7 8 7 6 6 6 7 8 9 11 14 17 18 18 16 14 12 10 9 7 6 6 6 6 7 8 8 6 4 4 6 8 9 8 6 4 2 1 -0 1 2 3 4 4 5 5 5 4 3 3 6 9 11 12 11 10 10 9 9 8 8 9 10 11 11 12 12 12 12 10 9 9 12 14 14 12 9 6 4 2 1 0 1 3 6 8 9 8 8 8 9 11 11 11 10 10 10 10 10 10 11 12 13 13 13 12 10 8 6 6 8 9 10 10 10 10 10 10 9 9 nan
nan 13 11 9 8 9 11 15 20 23 22 20 17 13 10 6 3 3 4 5 6 8 9 10 11 10 10 12 15 17 16 13 11 9 8 6 4 4 5 6 6 8 9 10 10 8 7 6 7 11 15 19 19 16 14 12 12 12 12 11 11 11 11 11 10 9 8 7 6 6 7 9 9 7 6 6 6 7 9 11 14 17 19 18 16 14 12 10 8 6 5 5 6 8 10 12 12 9 7 8 9 9 8 7 5 4 3 3 3 3 3 4 5 6 8 9 10 10 9 8 7 7 7 8 8 8 9 9 9 9 10 11 12 12 11 9 7 6 5 4 4 5 8 10 10 10 9 8 6 3 1 -1 -0 1 2 2 3 2 2 3 4 7 9 10 11 11 10 10 10 10 11 12 12 13 13 12 11 10 8 7 8 9 9 10 11 11 11 10 9 9 nan
nan 14 12 9 9 9 11 15 18 19 18 15 14 11 9 6 4 2 3 4 5 6 8 9 10 9 8 9 12 14 15 13 11 10 8 6 4 3 3 3 4 5 7 9 10 9 8 7 8 11 16 19 20 17 13 11 10 10 9 9 8 8 9 10 11 12 12 11 9 7 7 9 11 10 8 7 7 8 10 12 14 14 15 16 15 14 12 11 8 6 6 7 9 12 15 16 15 14 13 15 15 13 10 7 5 5 6 7 8 7 6 4 5 6 9 12 14 15 16 16 14 11 9 7 7 7 8 9 10 11 11 11 12 11 10 8 5 3 1 1 2 3 5 7 8 9 9 9 7 4 1 -1 -1 -1 -1 -2 -2 -3 -4 -2 0 3 6 9 10 11 10 9 9 10 11 11 12 12 12 12 12 12 11 10 10 10 10 10 11 12 11 10 10 10 nan
nan 11 10 9 9 11 13 14 16 15 14 12 11 11 8 6 5 4 4 5 4 5 6 8 8 8 7 7 9 10 11 11 11 11 11 9 7 5 5 5 5 6 7 8 10 10 9 8 8 9 13 16 17 15 11 10 8 8 7 5 4 4 4 6 9 12 13 13 10 7 7 10 12 13 11 10 9 10 12 13 12 11 11 12 14 14 13 11 9 8 9 12 15 16 17 17 16 16 16 17 17 14 12 10 9 9 10 10 10 9 8 7 6 7 8 10 13 16 19 20 20 18 13 10 7 6 7 8 9 10 10 9 9 9 10 10 8 6 4 4 4 5 5 6 8 10 11 11 8 4 2 -0 -2 -4 -5 -5 -6 -7 -6 -4 -1 1 4 7 9 9 9 8 7 8 10 11 11 11 11 12 12 13 13 12 12 11 11 11 12 12 11 10 10 10 nan
nan 9 8 9 10 11 13 14 15 14 12 10 11 12 11 8 5 5 5 6 5 4 5 7 8 7 6 6 7 8 8 8 8 9 11 11 10 9 9 9 9 9 9 8 9 10 10 10 9 9 11 13 14 12 10 8 8 7 5 4 2 1 2 5 9 13 14 13 10 6 6 9 12 12 11 10 10 11 12 12 10 10 11 12 14 14 13 11 11 12 14 16 17 16 14 12 11 13 14 14 14 13 12 12 12 12 12 11 9 8 9 10 10 8 7 8 10 14 18 21 23 21 16 11 8 7 6 6 7 8 8 7 6 7 9 11 11 10 9 8 7 6 6 7 9 11 12 11 9 6 4 2 -1 -4 -7 -7 -7 -6 -4 -2 -0 2 3 5 6 6 6 6 6 7 9 11 12 12 12 11 11 11 12 12 12 12 12 13 13 12 11 11 10 10 nan
nan 7 6 7 9 10 13 15 16 15 12 10 10 11 12 10 7 7 7 7 7 5 5 6 7 6 5 5 6 7 6 6 6 7 10 13 13 12 12 12 12 11 10 8 8 10 11 11 11 12 13 15 14 11 8 8 7 7 5 4 2 2 3 6 10 13 14 13 10 7 6 7 9 9 8 8 8 9 10 10 10 12 15 16 16 15 13 12 14 16 19 18 15 11 8 6 8 10 11 11 10 9 8 9 11 13 13 11 10 10 10 12 12 9 7 7 9 12 16 18 20 19 15 11 9 8 6 5 5 5 6 6 6 6 7 9 10 10 8 6 5 5 6 7 9 10 10 9 7 7 8 8 6 2 -1 -3 -3 -2 -0 1 2 3 3 3 3 4 4 4 6 8 10 12 13 13 12 11 9 9 9 10 11 12 12 12 13 12 11 11 11 11 nan
nan 6 5 5 6 8 10 14 16 16 14 11 9 9 10 10 9 8 8 8 8 6 5 6 6 5 4 4 5 7 7 6 6 8 10 14 14 13 12 12 12 11 9 8 7 9 11 12 13 14 16 17 16 12 9 8 8 7 6 4 3 3 4 5 7 9 11 11 11 9 8 7 7 7 7 7 8 8 9 9 11 14 17 18 17 15 12 12 15 18 18 16 10 6 4 6 10 12 11 8 6 4 5 6 9 12 13 13 12 13 13 14 13 11 9 8 9 11 13 15 15 14 13 11 10 9 8 7 5 4 5 5 6 7 7 7 7 7 5 2 1 3 6 9 11 10 9 7 6 8 11 13 13 11 8 4 3 3 4 4 4 4 3 3 3 3 4 6 7 9 11 12 13 13 11 9 8 8 9 10 12 13 12 11 11 11 10 10 10 10 nan
nan 5 5 5 4 4 6 9 12 13 13 12 10 8 7 7 8 8 9 9 8 8 7 6 6 6 4 4 6 8 8 9 8 9 11 12 13 11 11 10 10 9 9 8 8 8 10 13 14 15 15 17 17 15 12 10 9 8 6 5 4 3 2 3 4 5 7 9 9 8 7 7 7 7 8 9 10 9 9 9 10 12 14 15 15 14 13 12 14 15 14 11 7 5 6 9 12 13 11 8 6 5 5 6 8 10 12 13 13 13 14 14 14 13 11 10 10 11 12 13 13 12 12 13 13 12 11 9 7 6 5 5 7 8 9 9 8 6 3 0 -0 2 5 9 11 10 7 5 6 9 13 15 15 14 12 8 6 5 5 4 3 3 3 3 4 5 6 8 9 10 11 13 13 12 10 9 8 9 11 13 15 14 12 10 9 8 8 9 9 11 nan
nan 5 5 5 4 3 4 5 7 8 9 10 8 6 5 5 6 7 9 9 9 10 10 10 9 8 7 8 10 11 12 12 11 11 11 10 9 10 10 9 9 8 9 9 9 9 11 14 16 15 13 13 14 14 14 13 11 10 9 8 7 5 2 1 2 4 6 6 5 4 4 6 7 8 10 11 11 10 9 8 8 8 10 12 14 14 14 13 12 11 9 8 7 7 9 11 13 13 12 11 9 8 7 7 7 9 10 11 12 11 10 10 11 12 12 12 11 11 12 13 13 13 13 14 15 15 14 13 11 9 7 7 8 9 9 10 9 7 5 1 0 1 4 7 9 8 4 2 2 5 8 9 10 9 8 6 5 4 3 2 2 2 3 4 6 7 9 10 10 11 12 13 13 12 11 11 11 11 13 15 16 14 10 8 7 6 6 8 11 13 nan
nan 4 4 5 5 6 7 6 6 6 6 6 5 3 2 2 4 6 9 9 10 11 13 13 12 10 10 11 13 15 15 15 14 14 12 10 9 9 10 10 11 11 12 11 10 11 13 16 18 17 12 9 9 10 12 13 13 13 13 12 11 8 5 3 4 5 6 6 3 2 3 5 8 10 10 11 11 10 9 7 6 6 8 10 12 13 13 13 11 10 9 9 9 9 10 12 13 14 14 14 13 11 10 9 8 8 9 10 10 8 7 7 9 10 11 12 12 12 13 14 13 12 13 14 15 15 15 14 13 12 11 11 10 10 10 10 10 9 7 4 2 2 3 4 5 4 1 -2 -3 -3 -2 -0 1 2 2 2 2 1 1 1 2 3 5 6 8 10 11 12 12 13 13 14 14 14 14 13 13 13 14 14 14 11 8 7 5 5 6 10 15 17 nan
nan 4 4 5 7 10 12 11 9 7 5 4 3 2 1 2 5 7 9 10 10 12 13 14 14 11 10 11 12 13 14 14 15 15 14 12 11 11 10 11 12 14 16 15 12 11 13 15 17 18 14 9 7 8 10 11 13 14 14 15 14 13 10 8 7 7 7 6 4 3 4 7 9 11 11 10 9 9 8 7 6 7 8 8 9 9 9 9 10 10 11 11 10 8 8 9 12 14 15 15 14 13 11 10 9 9 9 9 9 8 7 7 8 9 10 11 12 13 13 13 12 11 11 11 12 13 13 13 13 13 12 13 13 12 11 10 10 10 8 7 5 4 3 3 3 2 0 -2 -3 -5 -6 -5 -3 -1 0 1 1 2 2 3 5 6 8 9 11 12 13 14 14 14 14 15 16 15 15 14 14 13 13 12 10 7 6 6 6 7 9 14 18 18 nan
nan 6 6 6 8 11 14 15 12 8 5 4 4 4 5 6 8 10 11 12 12 12 13 13 13 10 7 7 8 8 9 11 12 14 14 14 14 12 9 8 9 13 16 17 14 11 10 11 13 14 13 11 10 11 11 12 12 13 14 16 17 16 15 12 10 8 7 6 5 6 7 9 10 11 12 10 9 9 8 8 7 8 7 6 5 4 4 5 7 9 11 12 10 6 4 7 10 13 15 15 14 13 12 11 10 9 9 9 9 8 6 5 6 7 8 10 12 13 13 13 12 10 10 9 10 10 10 10 10 11 12 13 13 13 13 12 11 10 10 9 8 7 6 5 4 3 2 2 1 -0 -1 -1 0 1 2 3 4 5 6 7 9 10 12 13 14 15 16 16 15 15 15 15 16 15 14 12 12 11 10 9 7 6 6 7 8 10 13 16 16 14 nan
nan 7 7 7 9 11 14 15 12 9 6 6 8 9 10 11 13 14 14 14 14 13 12 12 11 8 5 3 4 5 6 8 10 12 12 13 14 12 8 6 5 8 13 15 15 12 10 8 8 9 11 11 11 13 14 14 14 13 13 14 15 16 15 13 11 9 6 5 6 8 9 10 10 10 10 10 10 9 8 7 7 7 7 5 3 1 -0 1 4 8 12 14 11 7 5 6 10 13 15 15 14 12 11 10 10 9 8 8 8 7 5 4 5 6 8 10 11 12 12 12 12 11 9 9 8 8 7 8 9 10 11 12 13 13 13 13 12 11 10 10 9 9 9 8 7 6 6 5 5 4 4 4 4 5 5 6 7 9 12 13 14 15 15 16 16 16 16 15 14 13 13 14 14 12 10 9 9 9 8 8 8 8 9 11 12 13 14 14 11 9 nan
nan 7 6 7 9 11 13 14 13 10 8 9 11 12 13 14 16 17 18 16 15 13 11 11 10 8 4 2 3 5 6 8 9 10 11 11 12 12 10 7 6 7 8 10 11 11 10 8 7 8 8 7 7 10 13 15 15 13 12 12 12 11 11 11 10 9 7 6 7 9 10 10 10 10 9 9 8 8 6 5 5 6 7 6 4 2 -0 0 4 9 13 15 13 9 7 7 10 13 16 16 14 12 11 10 9 8 8 7 7 5 4 4 5 6 8 9 10 11 11 12 11 11 10 9 8 7 7 7 8 9 10 11 12 12 12 11 11 11 10 9 9 9 9 10 9 8 8 7 7 7 7 6 6 7 7 9 11 14 17 18 18 17 16 15 14 13 12 11 10 10 11 11 10 9 8 8 9 9 10 10 11 12 13 14 14 13 12 10 8 7 nan
nan 4 4 4 7 10 12 13 12 11 10 11 12 13 14 15 16 18 18 16 13 10 9 8 9 8 5 3 3 5 6 7 8 8 8 9 10 10 11 10 9 8 7 5 5 7 8 8 9 10 9 5 3 5 10 14 15 14 12 11 8 7 6 8 9 10 10 9 9 9 9 9 10 9 9 8 7 7 5 4 5 6 8 8 7 7 5 4 6 9 12 13 11 9 8 8 10 14 17 17 15 13 12 10 10 9 8 7 7 5 4 3 5 6 7 8 9 9 10 11 11 10 10 9 8 8 8 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 8 8 7 7 7 9 11 14 17 18 17 16 14 12 11 10 9 8 8 8 9 10 10 10 10 10 10 11 11 11 12 13 13 14 13 13 11 10 8 7 7 nan
nan 4 3 3 4 7 10 11 11 11 11 11 12 13 13 13 14 15 16 15 12 8 6 6 7 6 4 3 4 5 6 6 6 6 6 7 8 9 11 12 13 11 8 5 3 3 5 7 10 12 11 7 5 6 10 13 14 13 11 9 7 5 6 8 11 13 13 12 11 10 9 9 9 10 9 9 8 7 7 7 8 9 9 10 10 11 10 8 8 8 8 8 8 7 7 8 10 13 16 17 16 14 13 11 10 9 9 9 9 6 4 3 4 5 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 8 9 10 10 10 10 10 9 9 8 7 7 7 7 7 7 8 11 13 14 14 13 11 10 8 7 7 7 7 7 8 9 10 10 12 13 13 13 12 12 12 12 12 12 12 12 11 10 9 8 8 7 7 nan
nan 7 5 3 4 7 9 10 9 9 9 9 10 11 12 12 12 13 14 14 12 8 6 4 4 4 4 4 5 5 6 5 4 5 6 7 8 10 12 15 16 15 12 8 5 3 3 4 7 10 11 8 8 9 12 15 15 12 8 7 7 8 10 12 14 15 14 12 11 10 10 10 11 11 10 10 9 10 11 12 13 13 11 11 13 12 11 8 7 6 6 6 6 6 6 7 9 10 12 14 14 13 12 10 8 7 8 9 10 8 5 5 5 6 7 7 8 8 9 9 8 7 7 7 8 10 11 11 11 11 10 9 8 7 7 7 8 8 9 10 11 11 11 10 10 9 8 8 7 7 7 7 8 10 11 11 10 8 6 6 5 5 5 6 7 8 9 10 11 11 12 13 15 15 14 13 12 12 11 10 10 9 9 9 9 8 8 8 8 8 nan
nan 11 9 8 8 8 9 8 7 6 6 7 8 10 11 12 13 13 14 14 12 9 5 4 3 3 4 5 5 6 6 4 3 4 6 8 10 11 14 16 17 17 15 12 9 7 4 3 4 6 7 7 8 11 14 18 18 13 9 8 9 12 14 16 17 16 13 11 9 10 11 13 14 13 11 10 10 12 15 17 18 16 15 15 16 14 11 8 6 6 6 5 5 5 6 8 9 9 10 12 13 12 11 9 7 5 6 7 9 9 8 8 8 8 8 8 8 8 8 9 8 7 6 8 11 14 16 17 18 16 15 12 10 8 8 8 8 8 8 9 10 11 11 11 10 10 10 9 8 6 7 8 9 11 10 8 5 4 3 4 4 4 5 7 8 10 11 12 12 12 13 14 16 17 17 15 13 12 10 8 7 7 7 8 8 8 8 8 8 8 nan
nan 12 12 12 13 12 10 8 6 4 4 6 7 9 11 13 15 15 15 13 10 7 4 2 3 4 5 6 6 6 6 5 4 5 8 10 12 13 13 14 15 16 17 16 14 12 9 6 5 5 5 6 7 10 14 18 20 17 13 11 12 13 15 15 15 14 11 9 9 11 14 16 17 17 15 13 13 14 16 18 18 17 17 18 18 16 13 11 9 9 8 6 6 6 6 8 10 11 12 13 13 12 10 8 7 5 6 7 7 9 10 11 11 11 9 8 8 8 8 8 8 7 7 10 15 19 22 24 25 24 21 18 14 11 9 8 8 8 7 7 8 10 10 10 10 10 9 9 7 6 5 6 7 7 8 6 5 4 3 4 4 5 6 8 10 11 12 12 12 12 13 16 18 19 19 16 14 11 8 7 6 7 7 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
76 76 75 75 80 91 95 92 92 86 78 74 75 89 125 155 164 163 155 138 120 119 128 125 116 136 166 170 146 124 107 95 87 96 126 154 154 124 97 106 130 153 142 121 101 90 88 86 91 92 88 83 82 87 95 92 81 83 118 132 121 121 106 105 153 184 172 160 133 100 67 39 18 7 3 2 1 0 0 1 2 2 6 17 27 30 22 15 8 2 6 15 18 11 10 36 74 97 98 89 82 72 50 36 27 17 11 5 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 3 4 3 4 4 4 3 3 11
76 75 75 77 82 91 98 95 94 92 85 79 76 84 113 164 179 168 155 139 125 126 136 138 123 132 161 160 140 121 106 97 94 108 141 168 164 127 88 86 110 154 153 135 109 100 104 113 122 118 101 85 76 78 86 90 89 95 117 126 120 147 142 154 191 209 191 160 128 96 69 46 26 13 8 4 0 0 2 6 12 18 27 38 42 45 42 37 28 16 17 23 22 20 31 59 86 94 92 95 95 79 51 36 31 20 16 10 4 1 0 1 1 1 1 1 1 1 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 1 1 1 2 3 4 4 5 5 10 49
77 76 76 79 84 92 99 98 92 94 90 84 79 80 99 142 177 176 160 142 125 124 137 145 133 123 153 151 134 119 108 104 110 123 139 151 145 118 86 70 81 111 130 121 92 98 126 143 145 136 113 89 77 75 82 91 95 100 112 124 123 169 195 231 254 236 192 156 124 93 66 45 29 17 8 3 0 1 6 19 36 58 76 79 74 73 63 60 59 41 42 59 77 90 101 107 100 91 93 124 127 93 53 33 27 19 17 15 7 2 0 0 1 1 1 1 1 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 1 1 2 4 6 13 43 132
77 76 76 80 89 96 99 96 90 94 93 89 83 79 89 120 157 177 172 153 129 121 132 144 139 125 143 152 131 114 109 113 123 128 132 134 126 109 87 72 68 80 97 92 75 93 124 134 133 127 113 91 76 75 82 92 96 100 109 120 134 189 299 358 323 246 180 144 118 92 65 39 21 10 3 0 1 4 14 32 60 96 121 119 113 110 102 101 101 67 81 141 203 229 205 150 99 83 93 134 126 86 49 28 22 24 25 20 9 3 0 1 1 2 2 3 1 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 4 17 37 65 119 243
77 77 79 84 93 99 101 96 91 91 94 92 87 80 82 104 139 168 176 164 138 116 121 138 137 127 135 149 125 105 105 117 131 137 134 130 122 105 89 78 73 79 86 80 67 73 106 117 118 118 112 97 82 76 80 85 92 97 101 106 138 235 405 432 298 202 154 128 107 85 58 30 10 4 1 0 1 7 20 43 79 127 149 167 159 161 157 149 149 111 122 208 298 323 253 148 83 76 87 109 80 49 27 16 16 26 37 28 14 4 1 1 2 3 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 9 53 107 156 228 368
77 78 81 88 97 102 102 97 95 96 96 94 89 80 78 94 126 157 171 166 144 119 115 132 134 126 129 134 115 97 97 113 129 137 134 128 118 107 97 89 91 105 107 93 77 79 103 113 118 121 115 100 85 79 80 81 87 97 100 100 139 261 392 338 187 121 98 88 82 67 42 18 5 0 0 0 2 11 27 55 101 161 177 244 245 224 203 190 187 167 166 238 320 318 221 120 73 72 72 64 26 14 7 4 7 19 31 28 16 6 2 2 2 3 3 3 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 1 13 92 180 251 344 486
77 78 83 91 99 102 102 98 98 98 98 95 90 81 75 84 115 145 164 166 152 131 118 122 123 122 119 117 108 96 94 106 121 128 126 120 114 111 114 116 122 139 143 122 98 92 103 110 118 123 116 97 81 78 82 82 81 89 94 93 139 260 326 243 117 71 69 57 47 36 21 8 2 0 0 0 4 17 36 64 110 171 236 292 329 292 265 254 239 212 192 233 309 273 172 97 66 56 43 22 3 1 1 0 1 12 22 20 13 6 2 2 2 2 1 2 2 1 1 1 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 1 21 129 251 351 455 583
81 79 84 92 99 101 99 97 99 98 97 95 91 85 79 81 101 128 146 155 156 145 125 110 106 115 116 114 110 102 98 104 114 122 119 111 107 112 124 135 145 161 168 150 122 107 105 109 115 117 105 86 74 77 83 83 78 79 82 94 144 257 276 194 95 49 46 34 22 14 6 1 0 0 0 3 12 23 32 53 91 166 261 308 348 344 322 318 299 242 191 210 267 221 131 77 50 31 15 4 0 0 0 0 0 10 14 11 7 5 3 2 2 2 1 1 1 0 1 1 0 0 0 0 0 0 0 1 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 1 42 161 295 418 535 654
87 83 86 93 98 99 97 97 98 98 96 94 94 89 83 81 88 104 120 132 138 135 120 105 101 110 122 118 114 111 108 110 115 119 116 105 100 110 129 148 161 172 177 164 142 131 129 129 129 123 103 79 67 73 83 83 76 72 72 88 149 255 223 141 67 24 12 13 12 6 2 0 0 0 3 16 38 30 20 31 64 138 234 310 357 357 348 356 327 252 199 212 231 167 88 54 34 16 5 1 1 0 0 3 5 8 8 6 5 5 3 2 3 2 1 2 2 2 1 1 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 5 55 190 332 466 590 697
91 86 87 91 94 94 94 95 96 95 94 91 94 93 90 84 82 88 96 103 110 115 113 107 104 108 114 120 117 118 118 117 117 116 113 106 100 114 136 147 154 166 170 154 141 135 137 143 150 145 123 93 69 69 81 84 78 70 70 93 158 249 170 94 41 12 5 9 9 4 0 0 0 0 11 54 101 76 36 34 59 121 205 294 353 365 381 401 361 267 204 205 196 129 61 40 34 15 5 1 5 7 7 11 15 18 18 16 11 6 4 3 4 3 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 75 223 379 512 624 715
92 87 85 85 86 86 87 89 90 89 86 85 90 92 92 89 85 86 89 91 95 102 108 109 109 107 107 110 113 118 122 121 120 119 116 110 108 114 124 118 117 132 144 138 127 118 118 129 148 154 136 105 77 67 77 89 84 70 66 87 144 204 143 75 32 11 4 4 4 2 0 0 0 6 44 152 226 184 105 86 93 130 184 258 326 368 403 437 435 338 228 194 173 120 64 43 40 23 11 11 20 26 24 21 25 30 30 24 17 10 6 4 4 3 2 3 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 0 0 0 0 0 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 20 89 230 397 535 643 727
91 86 83 81 81 80 79 80 80 78 76 76 81 85 88 88 86 86 88 90 91 96 105 111 114 113 107 105 109 115 123 123 125 125 120 114 111 112 112 110 105 109 120 125 119 109 104 110 130 148 140 112 83 71 79 96 91 69 66 71 110 157 137 81 34 13 5 4 3 1 0 0 0 17 95 212 260 231 177 145 127 132 169 224 288 346 398 446 465 383 238 190 176 138 91 59 40 23 14 18 36 46 41 34 34 39 35 25 15 10 8 6 4 3 3 5 5 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 5 31 97 224 394 538 643 721
90 84 81 80 80 78 75 73 72 70 68 68 71 77 82 84 81 81 85 90 95 98 103 111 121 126 130 122 114 116 123 126 127 128 126 122 117 113 111 110 110 107 109 118 121 111 100 105 120 145 144 118 88 74 83 100 94 70 67 67 70 98 117 96 53 24 11 5 2 1 0 0 1 9 43 90 129 146 146 130 102 83 89 133 204 277 346 409 440 392 263 209 205 186 141 85 43 25 19 22 40 51 50 45 43 42 36 27 20 12 9 7 5 4 4 3 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 6 32 103 234 399 535 637 709
87 83 79 79 78 75 73 71 70 69 68 66 66 70 74 76 77 77 82 86 90 94 100 107 116 126 139 135 125 123 125 128 131 133 137 135 128 121 115 111 110 108 104 114 116 97 87 98 116 142 149 124 89 74 86 103 98 76 72 78 59 63 82 85 65 40 20 9 3 1 0 0 1 6 18 28 52 69 82 81 62 34 18 31 73 141 221 295 342 334 267 212 225 245 213 130 58 27 21 24 41 50 50 49 48 43 34 26 20 12 11 8 7 6 5 3 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 1 10 45 129 264 412 531 618 672
83 80 77 76 76 75 75 74 74 74 74 73 71 72 72 74 75 75 79 83 86 90 95 100 105 114 127 136 136 133 132 133 135 140 144 147 142 137 130 120 114 113 112 117 109 89 86 91 106 129 140 129 93 75 95 113 105 83 71 58 52 51 56 55 46 35 23 11 4 1 0 0 1 6 12 10 18 41 56 58 44 23 9 4 9 39 101 170 219 237 231 219 235 272 274 184 91 39 23 24 33 42 46 48 48 42 33 26 21 15 14 10 8 8 6 5 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 1 4 21 74 171 299 424 523 585 629
78 77 76 77 80 83 84 84 85 86 87 86 86 85 82 79 78 78 77 80 84 85 89 95 98 100 106 117 129 136 137 137 140 145 152 156 155 152 152 146 135 130 131 129 120 107 102 95 102 118 133 133 103 77 108 126 114 90 74 65 41 40 40 35 28 22 14 8 4 0 0 0 1 4 8 10 20 38 39 26 15 7 3 1 0 6 44 112 170 200 219 234 242 261 299 219 121 58 33 27 28 31 36 40 40 35 31 30 30 24 16 10 9 9 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 38 107 211 328 436 516 567 603
76 78 81 84 88 92 95 96 96 98 100 102 102 100 96 91 90 88 85 81 79 79 82 90 96 97 97 101 114 127 135 137 145 151 158 165 167 165 164 165 157 151 149 147 138 127 116 113 116 126 142 143 117 92 124 142 126 100 67 34 13 18 24 22 17 12 8 6 2 0 0 0 0 1 9 22 35 37 19 8 9 10 6 3 1 5 32 101 169 196 222 240 233 219 247 224 141 74 42 29 26 28 32 34 35 32 28 28 28 25 15 10 8 8 7 6 5 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 1 3 10 58 139 241 351 447 513 561 595
79 83 88 92 97 101 105 107 108 110 113 115 116 116 113 107 102 99 98 96 91 87 86 89 96 102 105 107 113 124 134 137 149 161 169 176 179 179 177 177 172 160 152 152 150 136 119 121 130 143 165 165 137 114 130 153 144 106 54 18 4 6 11 12 11 8 4 2 0 0 0 0 0 3 25 40 39 28 14 16 22 23 20 12 5 14 54 133 208 216 241 261 231 181 179 207 166 94 49 28 25 32 36 34 35 34 28 26 23 18 13 11 9 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 10 77 170 271 372 461 526 576 612
86 90 96 103 108 112 115 117 118 119 120 122 125 126 126 122 118 113 111 112 115 114 110 106 104 106 114 124 130 139 144 147 163 185 194 195 194 193 192 188 177 160 148 146 150 150 142 131 125 151 201 210 173 136 135 157 160 105 35 9 3 4 6 6 5 3 1 0 0 0 0 1 2 7 36 44 43 35 29 32 35 41 37 25 15 27 86 192 285 270 270 269 229 176 156 178 182 121 69 41 37 45 49 43 38 34 27 23 14 7 7 9 9 6 5 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 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 5 5 17 90 190 297 400 486 552 597 622
88 95 103 113 116 118 119 119 119 119 121 124 130 137 144 146 141 136 134 133 140 145 141 136 132 130 131 142 153 163 167 172 181 192 203 210 208 206 208 203 189 171 159 153 144 151 166 156 133 152 225 256 209 154 146 166 166 122 41 15 6 4 4 3 2 1 0 0 0 0 1 7 17 29 39 55 56 47 39 39 46 52 51 43 32 44 118 254 370 351 294 229 209 180 154 160 178 141 85 51 40 47 51 46 35 27 20 19 9 2 1 3 5 5 3 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 1 1 1 1 2 5 8 29 106 210 323 430 520 588 629 638
89 97 105 112 115 116 117 116 117 119 122 128 136 144 153 158 166 169 167 162 156 160 166 168 170 173 174 179 181 196 205 215 221 220 219 223 220 214 226 242 236 212 189 176 147 145 169 168 151 153 189 226 201 159 160 170 175 149 72 27 9 5 4 3 1 0 0 0 0 1 5 21 40 56 61 61 56 46 39 43 56 70 76 68 60 82 169 323 446 427 308 192 176 162 148 155 174 161 110 61 37 32 32 30 24 16 11 13 4 2 0 1 2 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 0 0 0 0 0 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 2 5 11 36 113 224 343 447 533 602 650 665
94 100 105 109 113 114 115 117 120 124 131 139 147 154 160 172 185 192 193 194 195 193 193 196 204 218 229 233 234 244 250 265 278 281 278 270 248 224 244 294 314 290 246 205 170 153 161 169 166 161 162 170 174 165 171 172 188 168 100 45 10 5 4 2 1 0 0 0 0 2 10 32 47 55 63 64 60 47 42 52 71 85 83 70 73 116 211 372 493 484 357 220 178 158 146 152 167 163 120 66 38 25 21 18 12 6 2 1 0 5 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 1 2 3 4 12 43 113 217 331 424 500 571 635 678
102 105 107 111 113 114 117 122 128 136 146 155 164 174 184 189 196 195 193 200 221 238 241 238 240 256 272 284 295 302 303 312 326 339 351 345 310 264 256 316 377 367 304 237 193 172 165 175 185 191 186 182 183 185 188 203 221 191 126 58 11 5 3 1 0 0 0 0 1 4 17 40 49 55 64 71 66 51 49 61 77 84 75 62 73 123 229 403 514 521 454 367 290 220 175 162 165 155 117 71 47 36 25 11 4 1 0 1 3 13 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 9 34 83 159 259 349 422 485 541 594
109 110 111 112 114 116 121 130 142 153 161 167 172 183 194 195 187 175 168 171 193 222 244 259 271 287 301 320 337 345 350 361 376 381 398 408 390 344 307 327 400 389 321 245 207 200 201 201 219 241 232 214 211 218 217 234 241 217 162 80 17 5 3 1 0 0 0 0 3 14 37 58 59 59 63 69 69 60 56 68 81 83 74 69 85 143 255 435 518 533 531 499 404 301 221 180 164 149 123 91 64 43 19 5 1 0 2 5 9 14 14 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 1 2 4 14 39 94 188 251 281 317 382 465
114 115 115 116 119 123 128 140 152 160 162 164 164 164 163 156 145 136 129 126 130 147 175 208 243 278 315 340 345 346 362 390 413 417 422 441 452 434 399 378 392 378 321 239 217 234 252 254 268 304 289 257 248 244 232 231 243 240 190 93 29 11 4 1 0 0 0 2 11 33 61 72 74 60 57 64 66 61 57 65 79 79 73 76 100 162 278 441 511 515 528 510 438 341 256 197 175 162 135 94 57 33 13 1 0 0 6 9 8 7 9 4 1 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 15 44 135 176 177 177 191 214
116 117 117 120 126 131 136 148 155 156 154 149 141 131 118 109 99 93 92 90 89 95 108 132 169 212 258 294 307 300 327 365 403 427 436 452 475 487 476 448 417 385 345 264 237 255 275 288 312 348 342 299 279 268 259 257 266 268 204 114 60 27 7 1 0 0 0 6 24 46 61 66 74 52 50 58 60 59 61 68 76 77 77 88 111 168 277 423 525 508 484 440 372 295 230 187 171 162 125 71 30 10 2 0 0 0 6 10 10 8 3 1 0 0 0 0 1 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 1 1 4 9 59 111 141 143 114 66
117 119 119 126 131 134 140 150 153 150 142 128 113 99 86 73 70 70 74 78 82 86 89 101 121 144 173 211 240 247 281 304 339 384 417 439 456 477 500 506 476 433 386 323 275 278 284 306 342 371 363 323 303 308 322 316 297 267 202 141 90 41 12 2 0 0 0 8 33 60 56 49 58 49 56 60 65 72 79 83 82 76 73 89 109 159 267 407 511 524 472 391 305 234 186 165 162 151 96 37 8 1 0 0 0 0 8 14 15 10 4 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 1 2 6 34 81 119 122 88
118 121 123 129 131 134 140 146 147 137 120 104 89 78 72 71 69 69 75 81 88 98 106 115 131 143 152 171 203 233 262 267 284 323 363 390 410 431 465 504 513 486 440 391 347 310 292 321 365 389 376 346 341 380 404 352 277 217 172 128 76 33 11 2 0 1 3 14 45 71 53 46 54 60 70 67 79 89 95 97 93 83 77 92 109 153 260 381 466 506 482 394 298 232 197 179 159 121 55 11 1 0 0 0 1 5 14 19 15 7 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 1 18 49 88 113
119 124 128 131 133 136 138 135 125 109 94 84 77 73 71 71 74 76 84 93 104 117 131 144 162 189 208 221 242 263 275 276 281 295 314 333 353 374 402 449 499 508 499 474 429 362 322 345 383 403 395 388 420 479 452 346 234 161 116 77 45 25 9 2 2 6 15 29 49 40 32 41 56 73 83 78 89 106 112 108 102 101 107 123 141 177 280 379 425 431 421 369 302 257 231 199 148 83 26 0 0 0 0 0 2 7 15 15 8 2 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 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 7 16 28
118 124 130 134 138 139 130 116 100 86 78 76 75 77 83 85 84 84 94 102 130 164 187 196 202 224 263 292 310 319 316 312 314 310 309 311 320 335 358 394 437 490 529 526 486 426 381 382 400 416 419 443 506 553 474 337 210 147 100 59 32 24 10 1 11 30 49 63 63 30 28 36 60 88 101 101 113 136 135 115 110 131 155 171 201 249 343 409 398 351 314 282 248 230 217 178 112 48 11 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 7 11 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 1 1
118 125 131 135 136 130 111 94 79 71 70 73 76 76 83 90 96 108 123 132 157 209 252 268 262 259 285 331 356 365 356 351 351 342 332 315 314 324 340 364 405 460 509 524 507 470 435 425 433 444 450 482 540 556 455 282 164 143 98 53 27 18 8 2 33 83 113 109 76 41 42 43 71 101 111 120 139 156 146 118 123 171 220 246 282 338 403 428 389 314 251 218 196 174 154 113 60 21 4 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 2 5 6 6 6 7 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
121 129 132 131 122 108 89 74 66 63 64 67 72 77 86 100 121 148 177 184 180 199 243 278 287 285 296 326 359 381 378 384 388 381 368 346 329 331 347 373 402 441 490 493 506 501 493 494 500 486 464 477 505 468 331 178 119 133 79 40 23 14 5 6 35 89 109 78 45 37 44 48 75 108 119 136 162 173 154 127 139 189 292 350 362 393 443 429 357 262 187 138 104 81 63 43 22 7 1 0 0 0 0 1 3 8 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 8 7 6 4 3 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
126 131 128 122 108 92 78 67 62 61 63 67 74 83 96 111 129 155 189 192 170 159 168 195 218 233 255 286 324 361 378 397 418 420 407 387 362 348 366 396 412 438 457 438 477 498 533 561 554 509 460 447 455 384 220 108 95 110 55 36 41 26 8 2 9 18 16 14 16 23 31 45 82 130 150 165 179 172 145 127 150 200 321 400 408 410 430 396 310 200 126 75 37 19 15 14 14 12 6 1 0 0 1 10 26 31 23 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 8 7 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
131 130 122 111 95 85 76 69 65 63 66 72 79 88 97 105 115 129 135 126 113 104 105 113 128 152 188 235 283 324 353 375 423 445 429 410 393 377 379 402 417 416 413 416 451 480 514 541 532 492 451 438 435 348 169 83 95 95 47 50 59 32 8 0 0 0 0 2 6 8 21 59 116 171 195 194 179 147 112 106 153 246 375 432 392 361 359 336 268 180 121 73 33 10 7 15 25 22 13 4 1 0 10 42 57 45 25 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 7 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
133 127 114 98 82 75 69 65 63 65 67 70 74 80 86 93 100 103 100 88 78 71 70 74 83 102 129 169 224 272 301 319 361 393 399 405 400 386 376 384 411 421 433 468 495 499 494 503 506 474 436 420 408 340 166 85 105 91 58 56 37 13 2 0 0 0 0 0 0 1 27 99 174 216 218 200 164 113 75 83 151 268 403 439 392 331 315 305 262 202 139 74 24 7 11 24 35 19 11 3 0 1 13 33 32 17 9 2 0 0 0 0 0 0 0 0 0 0 1 3 3 5 9 9 6 4 6 3 1 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
131 120 102 83 70 65 60 59 59 61 64 68 73 82 91 97 97 91 83 74 66 60 57 57 62 70 80 96 142 192 226 242 262 295 330 375 385 373 369 389 422 447 474 553 592 572 523 496 481 445 405 389 372 306 170 90 107 100 73 45 15 1 0 0 0 0 0 0 1 5 62 172 251 259 221 177 134 85 57 82 158 255 342 383 369 352 352 344 311 241 134 35 7 1 4 11 16 7 4 1 0 2 3 5 4 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 14 15 14 11 7 5 3 2 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 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
123 107 85 70 64 60 58 58 63 64 64 69 79 89 98 99 91 81 72 65 59 58 54 50 50 51 53 57 78 112 151 169 184 213 261 332 364 365 381 415 449 466 480 496 541 551 527 475 420 372 338 329 318 259 160 91 94 85 46 16 3 0 0 0 0 0 1 6 24 72 159 270 329 298 228 168 124 83 59 78 137 210 284 357 395 378 362 352 327 251 124 15 2 1 1 1 1 0 0 0 0 8 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 12 11 12 11 10 9 7 5 3 1 1 1 1 0 0 0 1 1 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
110 92 72 61 58 59 59 61 63 63 63 68 78 88 93 91 79 67 61 58 56 55 53 47 44 41 46 64 78 73 156 137 153 179 224 290 339 361 382 400 409 389 338 244 281 318 339 313 258 216 210 241 263 208 125 74 68 56 24 6 3 3 2 0 0 0 6 34 104 204 289 355 376 310 226 164 126 95 69 63 86 161 264 358 394 358 316 296 276 210 104 16 4 2 1 0 0 0 0 0 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 5 5 5 6 9 10 8 7 5 3 2 1 2 2 1 0 1 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
98 81 65 57 55 57 60 61 61 61 66 69 77 84 85 78 68 59 58 60 64 61 54 49 50 50 48 62 81 104 174 113 145 177 224 286 342 385 410 371 286 199 127 72 85 98 100 93 80 67 73 105 139 99 65 65 82 85 63 24 11 8 3 0 1 4 29 129 245 340 388 396 381 302 215 160 130 105 78 74 74 153 244 321 346 315 280 254 226 164 80 19 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 1 0 0 1 4 8 9 8 6 3 2 2 2 2 1 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
89 72 61 55 54 56 60 60 60 62 68 72 80 88 86 77 67 62 67 72 97 91 76 66 64 71 69 64 85 95 98 82 121 167 263 348 394 408 401 327 163 79 47 45 61 63 59 48 34 20 17 26 41 51 50 76 113 143 138 71 29 11 3 0 4 25 89 270 415 451 431 403 377 327 266 214 165 115 82 80 83 146 240 317 344 330 296 253 208 144 73 30 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 1 3 5 5 3 1 0 0 1 2 1 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
80 66 59 56 56 57 60 61 60 63 66 70 79 87 86 79 70 67 73 86 134 121 91 70 62 65 78 90 95 79 63 73 108 148 261 353 376 337 262 172 63 45 49 66 78 77 71 62 40 19 10 10 19 30 21 61 102 131 127 81 42 17 3 0 9 48 148 323 479 468 435 415 401 381 353 293 202 126 81 65 78 145 278 363 376 344 296 246 193 130 69 40 20 4 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 2 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 1 1 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 0 0 0
73 61 58 56 57 58 60 60 60 73 72 73 78 85 87 84 75 69 71 80 91 78 62 59 52 48 53 60 71 95 80 79 102 138 182 251 268 215 130 59 32 47 64 83 91 87 77 60 35 17 9 6 7 11 14 23 39 48 52 66 79 50 7 1 16 70 163 280 372 391 426 445 443 423 387 316 213 149 98 71 98 193 330 406 387 336 284 230 165 95 51 41 33 23 12 2 0 0 0 0 0 0 2 4 6 8 10 11 11 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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