Vorticity
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nan 10 11 9 8 7 6 6 6 7 8 8 8 9 11 12 14 16 17 15 13 14 14 13 10 7 5 3 2 3 6 10 10 9 8 7 8 7 6 6 8 9 11 12 12 12 11 10 9 8 8 8 7 5 5 5 6 7 7 7 7 6 6 6 7 7 6 5 5 6 7 7 7 7 7 7 6 6 6 6 5 4 4 5 7 8 10 13 14 13 12 12 13 14 14 12 10 9 10 13 14 12 8 4 4 7 9 9 8 8 9 11 12 14 13 11 9 9 10 12 15 17 18 16 10 4 5 10 11 10 8 6 5 6 8 12 15 16 13 10 8 7 8 10 11 9 7 7 9 9 9 9 8 7 5 5 6 8 10 11 8 4 1 2 5 7 7 8 8 8 7 7 6 6 7 8 9 10 10 11 10 11 11 12 12 12 12 11 11 10 nan
nan 10 10 9 7 6 5 5 6 7 8 8 9 10 11 13 14 16 17 16 15 14 13 12 10 7 6 4 3 4 7 10 12 12 10 9 8 7 7 8 9 10 11 11 11 11 12 12 12 11 10 9 8 7 7 7 6 5 4 5 5 6 7 7 7 6 3 2 4 7 8 8 8 8 9 8 6 5 5 6 7 7 7 8 8 9 10 12 13 12 11 10 9 10 11 12 12 12 11 13 15 13 9 4 2 3 6 8 8 9 10 10 10 10 10 8 4 3 4 7 12 15 16 13 8 6 12 20 20 14 8 3 0 -1 -0 4 10 14 14 12 10 8 8 9 9 8 7 7 8 8 7 8 8 9 8 7 6 7 8 7 5 1 -2 -1 1 4 5 6 7 7 7 6 6 6 6 6 6 6 7 7 7 8 10 11 12 12 12 11 10 10 nan
nan 8 8 9 9 7 6 6 6 7 7 8 9 10 12 12 13 14 15 15 14 12 12 11 9 8 7 6 5 6 7 9 11 11 10 10 9 9 9 10 10 10 10 10 9 10 12 14 14 13 11 10 9 9 9 9 8 6 3 3 5 7 8 8 7 5 3 5 7 9 9 9 9 9 9 9 6 3 4 5 8 9 10 10 9 8 9 10 12 12 11 9 8 9 12 16 16 14 12 12 13 12 9 4 -0 -1 1 5 8 9 10 9 8 8 9 8 4 -1 -1 1 6 11 13 11 9 11 19 26 23 15 7 2 -1 -2 -3 0 4 8 9 8 7 6 6 7 6 6 7 8 8 7 6 7 9 10 11 11 10 9 9 8 6 2 -1 -1 1 3 4 5 6 6 6 6 6 6 6 5 5 4 4 4 5 6 8 10 12 12 11 10 9 9 nan
nan 8 8 9 9 8 7 7 7 7 7 8 10 11 12 13 13 13 13 13 12 10 10 10 9 9 8 7 7 7 8 8 7 7 7 8 9 11 12 12 11 10 9 9 9 10 11 13 14 14 12 10 9 9 9 11 10 8 6 5 6 7 9 8 7 5 5 7 9 10 9 9 8 9 9 7 5 3 3 5 8 10 11 10 9 8 7 8 9 11 11 10 9 9 12 15 16 15 13 12 12 11 8 4 -0 -3 -1 2 6 8 9 8 7 9 12 13 8 1 -3 -2 2 7 11 11 11 13 19 22 19 12 6 3 3 3 3 4 6 7 6 4 3 3 4 5 5 5 6 7 7 6 6 7 9 12 13 15 15 14 13 11 9 6 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 8 10 11 11 10 9 8 nan
nan 8 9 10 9 8 7 7 8 8 8 8 10 13 14 14 14 13 13 12 10 9 8 9 9 9 8 7 6 7 8 8 7 6 6 7 10 12 14 14 12 10 9 9 9 9 9 10 12 14 14 11 9 8 9 11 12 10 8 7 6 7 8 8 7 6 7 9 10 9 8 8 8 8 7 6 5 3 3 5 7 10 12 11 10 8 7 6 7 8 10 11 11 11 11 12 13 13 13 12 11 10 8 5 2 -1 -0 2 5 8 9 9 7 8 13 15 13 6 0 -1 0 4 8 11 13 16 18 17 14 10 7 7 8 9 8 9 11 11 9 7 6 7 7 6 6 5 5 5 5 5 6 7 11 14 16 18 18 17 15 14 13 11 8 6 5 5 6 6 6 5 4 3 3 4 5 5 6 6 6 6 6 6 6 7 8 9 10 10 9 9 nan
nan 8 9 9 8 7 7 7 8 9 9 10 12 14 15 15 14 14 13 11 10 10 9 8 8 8 7 6 5 6 9 11 11 11 10 12 14 15 15 14 11 10 9 9 9 9 8 9 11 13 14 13 11 10 10 10 11 11 10 8 6 5 5 6 5 5 7 9 10 9 7 6 6 7 8 7 6 4 3 3 6 10 12 13 11 9 7 6 5 5 8 10 12 12 13 13 13 12 12 12 11 10 9 7 4 1 0 3 6 10 11 10 6 4 9 13 13 9 4 1 1 1 3 7 11 14 15 14 12 9 7 8 9 9 9 11 13 13 13 12 12 12 11 9 7 6 5 4 4 5 6 8 12 16 18 19 18 18 17 17 16 14 11 8 7 6 6 7 7 6 4 3 3 3 4 5 6 7 8 8 8 8 8 7 8 8 9 9 9 9 nan
nan 8 8 8 6 6 7 8 9 10 11 13 15 15 15 13 12 12 12 12 11 11 10 9 8 8 7 5 5 6 8 11 13 14 15 16 17 17 14 10 7 6 7 8 9 11 12 12 12 12 13 13 12 11 9 9 9 9 9 9 7 5 4 4 3 4 8 11 13 11 8 5 5 7 9 9 8 6 4 4 6 10 13 13 12 9 7 5 4 4 6 9 11 13 14 15 13 12 11 11 12 13 12 10 6 2 1 4 9 13 14 11 5 1 3 7 9 10 8 5 3 1 1 2 4 7 9 10 10 7 5 5 6 7 7 9 11 12 12 11 11 12 11 10 9 7 6 5 5 5 5 7 10 13 15 16 17 17 18 19 18 15 12 9 7 7 7 7 7 7 5 3 3 3 4 5 6 8 8 9 10 10 10 9 9 8 8 8 9 9 nan
nan 8 8 7 6 6 7 9 10 11 14 16 17 15 13 12 11 12 13 12 11 10 10 10 9 8 8 6 5 6 8 10 12 14 14 16 16 15 11 5 2 1 4 8 12 15 17 16 12 11 11 12 12 11 9 8 8 8 7 7 7 7 5 3 3 5 9 12 14 13 9 6 6 8 10 10 10 8 7 7 9 12 13 13 11 9 7 5 4 4 5 8 10 11 12 13 13 12 11 11 12 13 13 11 7 4 4 6 11 14 14 10 5 2 2 4 7 9 10 9 7 6 5 4 3 4 6 7 8 6 4 2 3 3 4 6 7 8 7 7 7 8 11 12 11 10 8 7 6 6 5 5 7 8 9 11 12 14 17 19 18 15 12 10 8 7 7 7 8 8 6 4 3 3 3 4 6 7 8 9 10 11 11 11 10 10 9 9 9 9 nan
nan 9 8 7 6 6 7 8 9 11 14 18 18 15 13 12 11 12 13 11 9 8 8 8 8 8 8 8 7 7 9 10 11 11 12 12 12 11 8 2 -0 -0 3 8 14 17 18 15 13 11 10 10 11 11 11 9 9 8 6 5 6 7 7 5 5 7 9 10 12 13 11 8 7 8 9 9 9 10 10 10 11 13 15 14 11 8 6 5 5 5 6 7 9 9 9 10 11 11 10 9 10 10 10 10 9 8 8 8 10 11 11 8 6 6 7 8 8 10 11 11 10 10 10 9 8 7 8 8 8 7 5 3 1 1 1 1 2 3 4 4 5 7 10 12 12 11 10 8 7 6 5 4 5 5 5 6 7 10 13 16 16 15 13 10 8 6 7 7 8 8 7 6 4 4 3 4 5 7 8 9 10 11 11 11 12 11 11 10 9 9 nan
nan 8 8 7 6 5 6 7 8 11 14 18 19 16 13 11 10 10 10 9 8 7 6 7 7 7 8 8 8 8 9 9 10 10 10 10 9 8 6 4 2 2 5 9 13 15 14 14 14 14 12 11 10 11 12 12 12 10 8 6 6 6 6 7 8 9 8 7 8 10 11 9 8 8 8 9 9 9 8 8 9 12 15 15 13 10 7 6 6 6 6 6 7 7 7 7 8 8 8 7 6 7 7 9 11 11 10 8 7 8 8 7 7 8 11 13 13 11 11 10 11 12 13 13 12 11 10 11 11 9 8 6 5 3 1 -0 -0 1 2 5 8 9 10 11 11 11 10 9 8 6 6 5 5 4 4 4 5 8 11 14 15 15 13 10 8 6 6 7 8 8 7 7 6 5 4 4 5 7 8 9 10 10 11 11 12 12 12 11 10 10 nan
nan 8 7 6 4 4 4 6 8 11 15 18 18 15 12 9 8 7 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 7 6 5 5 5 6 8 10 11 12 13 15 15 14 13 11 11 12 14 14 12 10 8 7 6 5 7 9 11 9 6 5 7 9 10 9 7 7 7 8 8 7 5 4 7 13 16 15 11 9 7 7 8 7 6 6 5 5 5 5 5 6 6 7 8 10 12 12 11 9 7 6 6 6 6 7 9 12 16 16 14 12 11 11 12 13 13 12 12 11 12 12 11 11 11 10 6 4 2 3 4 5 8 10 10 9 10 10 11 10 9 8 8 7 6 5 4 3 3 5 8 11 14 15 14 11 9 7 6 6 7 8 8 8 8 7 6 5 5 6 7 8 9 9 10 10 11 11 12 12 12 12 11 nan
nan 7 5 4 4 4 6 8 9 11 15 18 17 14 11 8 7 7 8 10 11 10 9 8 7 6 6 7 8 8 8 7 6 7 7 8 8 7 6 6 6 6 6 7 8 8 9 10 10 11 11 11 11 11 12 12 12 11 10 10 10 9 7 7 10 11 10 7 5 6 7 8 8 7 5 6 7 8 7 5 3 5 11 16 16 14 11 10 9 10 9 8 6 6 5 5 5 6 7 7 9 11 13 14 13 11 8 7 7 7 6 6 7 9 12 16 18 17 14 12 12 12 12 13 12 12 12 12 12 13 14 15 12 8 5 5 6 8 8 8 9 10 10 10 11 11 11 11 9 8 7 6 5 4 4 4 6 9 12 14 14 12 10 8 6 7 7 8 8 8 9 9 8 7 6 6 6 7 8 9 9 9 10 10 11 12 12 12 12 12 nan
nan 5 5 5 6 8 9 10 11 12 14 16 16 13 10 7 7 8 9 10 10 9 8 7 6 6 7 7 7 7 6 6 6 7 8 9 10 8 7 6 5 5 6 7 7 7 7 6 5 5 5 7 8 8 9 10 10 9 9 10 11 11 10 9 10 11 10 9 7 7 7 7 7 6 5 5 5 7 8 7 5 7 12 17 17 15 12 11 11 11 10 9 8 7 7 7 8 9 10 10 10 12 13 14 12 10 7 7 7 7 7 8 9 11 13 16 18 19 18 15 12 11 11 11 11 11 11 12 13 14 15 14 11 8 5 6 8 9 9 8 9 11 12 12 11 11 12 11 9 7 6 5 5 5 6 7 11 13 15 15 15 13 9 8 7 8 8 8 8 9 9 10 9 8 6 6 6 7 8 8 9 9 9 9 10 10 11 11 11 11 nan
nan 5 8 9 11 12 12 12 12 12 13 15 14 12 9 7 8 10 10 10 8 7 6 6 7 9 10 10 8 7 7 8 9 10 10 11 10 9 7 6 5 5 6 6 6 7 8 6 4 4 4 5 5 5 5 7 8 9 9 10 11 11 11 10 9 9 9 9 9 8 8 7 6 7 6 5 5 6 7 8 8 10 14 17 17 15 12 11 11 10 9 8 8 7 6 6 7 10 14 15 14 14 14 13 11 8 5 5 6 8 9 10 11 12 13 14 16 18 19 16 14 11 10 9 8 7 8 10 12 13 13 11 10 7 5 6 9 10 11 11 10 10 10 9 8 7 8 8 7 5 4 4 5 6 8 12 15 18 18 18 16 13 10 8 8 8 8 8 8 9 10 10 10 8 7 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 nan
nan 7 10 13 15 15 15 13 10 9 10 13 13 11 8 8 8 10 10 9 8 7 7 9 10 12 13 12 10 9 9 11 13 14 14 12 10 8 7 6 5 5 5 5 6 7 8 8 7 7 6 6 6 5 4 5 7 9 10 10 10 10 10 9 8 7 7 6 6 7 8 8 8 8 8 7 6 6 7 9 11 13 16 17 16 14 11 10 10 9 8 7 6 5 4 4 5 8 14 17 17 15 15 13 10 6 2 2 5 8 10 10 9 8 9 10 11 12 13 13 14 13 12 10 7 7 7 7 8 9 10 10 9 7 5 6 10 13 15 15 12 9 7 5 5 5 5 4 4 3 3 4 5 7 10 14 16 18 19 19 17 14 11 9 9 8 8 8 8 8 9 10 10 9 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 nan
nan 7 10 13 15 16 15 12 9 7 9 12 14 12 9 7 7 7 7 7 7 8 10 11 13 14 13 11 9 9 10 12 15 16 16 14 11 8 6 5 5 5 6 6 6 7 7 8 9 10 9 8 7 6 6 7 10 11 11 10 10 9 8 8 7 6 5 4 4 5 7 9 9 8 8 7 6 6 8 11 14 17 19 18 16 13 11 10 9 8 7 6 5 4 3 3 4 6 9 11 12 12 13 13 10 7 2 -1 0 4 5 5 4 3 3 4 5 5 5 7 11 12 13 11 9 9 8 7 6 7 9 9 8 7 7 7 10 13 15 15 11 7 5 5 6 7 6 5 4 3 3 3 4 6 9 11 13 14 16 16 16 14 12 10 9 9 8 8 8 8 9 10 11 11 10 9 8 7 6 6 7 7 7 7 7 7 7 6 6 6 nan
nan 9 10 11 12 13 13 12 10 9 12 15 16 14 10 6 4 4 5 6 7 8 10 11 12 12 11 9 10 11 12 12 14 15 16 15 11 7 6 7 9 10 10 9 8 8 8 9 11 12 13 12 10 9 8 10 12 13 12 10 9 8 8 7 7 7 6 5 5 6 8 9 8 8 7 7 7 8 10 12 16 18 20 19 17 14 12 10 9 8 7 6 6 6 6 7 7 6 5 5 6 8 10 11 11 9 6 1 -1 -1 -0 0 1 3 5 6 6 5 3 3 6 8 10 10 10 10 10 9 8 8 10 11 9 8 7 6 7 8 9 9 7 5 4 5 7 10 10 9 8 5 3 2 2 3 4 6 6 8 9 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 7 6 6 6 7 7 7 7 7 6 6 6 6 nan
nan 13 12 11 10 10 11 11 12 14 16 18 17 14 10 6 4 3 4 5 6 7 8 9 10 10 9 10 12 14 14 13 13 13 13 12 7 3 5 9 13 15 15 13 11 11 11 12 13 15 16 15 14 12 11 11 12 13 13 11 9 9 10 9 9 9 8 8 8 9 9 9 8 6 6 7 8 10 11 12 14 16 19 19 18 15 13 11 10 9 7 7 8 10 12 12 10 7 5 6 8 8 9 10 12 13 10 7 4 2 1 1 3 6 11 14 13 11 9 7 6 6 8 9 9 9 9 8 8 9 12 15 13 9 6 5 4 3 3 3 3 2 2 5 8 11 14 14 12 8 4 1 1 1 0 0 -0 -1 -1 -1 -1 -0 2 5 7 8 9 9 9 10 11 11 12 12 12 11 10 9 8 8 7 7 7 8 7 7 7 7 7 8 nan
nan 16 13 11 10 10 10 11 13 15 16 16 15 12 9 7 5 4 5 5 5 5 6 7 8 8 8 9 11 13 14 14 13 13 12 9 4 1 3 8 12 15 16 14 13 13 13 15 15 16 17 17 17 16 14 12 12 13 13 12 10 10 10 11 11 10 10 10 10 10 10 10 9 7 7 8 9 10 11 10 11 13 16 18 18 16 14 12 10 9 8 10 13 16 17 15 12 9 10 13 14 13 11 11 12 14 13 11 10 9 7 6 6 9 14 18 17 16 15 13 12 11 11 10 9 8 7 6 7 9 13 15 15 13 9 6 4 2 1 1 1 2 2 4 8 12 16 17 15 10 5 1 -0 -1 -2 -3 -5 -7 -8 -8 -8 -6 -2 2 4 6 8 9 9 10 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 nan
nan 14 12 10 10 11 11 11 12 14 14 13 12 10 9 8 7 6 5 4 4 4 5 6 7 8 8 8 9 11 13 14 14 14 13 10 7 5 6 8 10 11 12 12 13 13 13 14 16 16 17 18 18 17 16 14 13 12 13 12 10 9 9 10 10 10 9 9 8 9 11 11 11 10 9 9 9 9 9 8 9 11 14 17 18 17 15 13 11 10 11 14 18 20 19 14 10 10 13 16 16 14 13 12 13 14 14 12 11 11 10 8 7 9 13 16 16 15 15 16 17 17 14 11 9 7 5 4 6 8 11 13 13 13 13 11 8 5 3 3 3 3 4 5 8 11 14 16 13 8 4 2 -1 -3 -5 -7 -8 -8 -8 -7 -5 -3 -1 2 4 6 7 8 9 10 11 12 12 12 12 11 11 10 11 11 11 11 11 11 10 10 10 10 11 11 nan
nan 13 9 8 9 11 12 13 13 12 12 11 10 10 9 8 6 5 3 2 2 3 5 7 9 9 9 8 9 10 12 13 14 14 13 11 10 11 12 11 11 9 9 10 12 12 12 13 14 16 18 18 17 16 15 16 15 14 13 11 9 7 7 8 10 10 9 7 6 7 9 11 12 11 10 9 8 8 7 6 8 10 12 15 17 17 15 13 12 13 16 19 20 18 14 7 5 7 11 13 14 13 12 11 12 13 13 12 10 9 8 7 6 7 9 11 11 10 11 13 15 17 15 11 9 8 6 4 5 7 10 11 11 12 14 14 12 9 6 5 4 5 5 6 7 9 11 11 9 6 5 4 1 -2 -6 -7 -7 -6 -3 -1 1 2 3 4 6 7 8 8 7 8 9 10 11 11 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 nan
nan 11 9 8 8 10 13 14 14 13 12 11 10 10 9 7 5 4 3 2 1 3 5 7 9 10 9 9 9 10 12 12 12 12 10 10 11 12 13 13 12 9 8 9 10 12 12 12 13 15 18 18 16 14 13 14 16 15 12 10 7 6 7 9 10 10 9 7 5 5 7 10 11 10 9 8 7 7 6 6 7 10 13 15 17 17 16 14 15 18 21 21 17 11 4 0 1 5 8 10 10 9 8 8 9 11 12 12 10 8 7 6 5 4 6 7 8 7 8 9 11 13 12 11 10 9 7 6 5 7 9 10 10 11 12 12 12 9 6 4 4 4 5 6 7 8 8 7 6 7 7 7 6 4 0 -2 -2 -0 2 3 4 5 5 5 6 6 6 5 5 6 7 8 8 9 9 9 9 10 10 11 11 12 12 12 13 13 13 13 13 13 nan
nan 10 9 8 8 9 11 13 14 14 13 12 11 10 9 8 6 5 4 3 3 4 5 7 8 9 8 8 9 10 11 11 10 9 8 9 10 11 11 11 10 10 9 9 9 10 12 12 13 14 16 18 16 13 11 12 13 13 11 9 7 7 8 9 10 10 9 7 6 5 7 9 10 10 10 9 8 7 6 7 8 11 14 16 17 18 17 17 19 22 22 17 9 2 -1 -0 3 7 9 8 7 6 5 4 5 8 10 11 10 9 7 5 4 3 4 5 6 7 8 9 10 10 10 10 10 9 9 7 7 7 8 9 10 11 11 11 10 8 4 2 2 3 5 6 7 7 7 6 5 6 8 10 10 10 8 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 5 5 6 6 7 7 9 10 11 12 12 12 12 12 13 13 12 12 12 12 nan
nan 9 9 8 7 7 8 10 12 12 12 12 11 9 8 7 6 6 6 6 6 7 7 7 7 7 6 7 8 9 10 9 8 8 8 9 9 8 8 8 9 10 10 8 6 7 9 12 13 13 14 17 17 15 13 12 12 11 9 8 8 8 8 8 9 9 10 9 7 6 7 8 10 10 10 10 8 7 6 7 9 11 13 15 16 17 17 18 20 20 17 10 3 -0 2 5 8 10 10 9 7 5 5 4 5 7 9 10 10 10 9 7 6 5 6 6 7 8 10 10 10 9 8 7 8 8 8 8 7 7 8 9 10 11 11 11 10 7 4 1 0 1 3 5 6 6 5 4 4 5 6 8 10 10 9 7 6 6 5 5 4 4 3 3 3 3 3 3 3 4 4 5 5 6 6 7 9 11 12 13 13 13 12 12 12 11 11 11 11 11 nan
nan 7 7 7 7 6 6 7 8 10 11 11 9 7 5 5 5 5 7 8 9 9 9 8 7 7 6 6 7 8 8 8 8 9 10 10 9 7 7 8 10 11 11 9 6 5 7 11 13 13 13 14 16 17 16 15 13 12 10 9 8 9 8 7 7 8 9 10 9 8 8 9 9 9 9 9 7 6 5 6 7 9 11 13 15 16 17 18 17 15 10 5 2 3 7 9 10 10 10 9 8 8 7 7 8 9 9 9 9 10 10 10 10 10 9 9 9 10 11 11 9 7 6 6 7 9 9 9 9 9 9 10 10 10 11 11 9 7 4 2 1 2 3 4 4 4 2 0 0 1 2 3 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 6 7 7 7 7 7 7 8 10 11 13 14 14 14 14 13 12 12 11 11 11 11 11 nan
nan 5 6 7 7 7 7 6 6 7 7 7 6 5 3 3 4 5 7 8 9 11 12 11 10 9 8 7 7 7 7 8 9 11 11 10 7 6 6 8 10 11 11 10 8 6 8 11 13 13 11 10 12 14 15 15 14 14 12 11 10 10 9 8 8 7 8 9 9 9 9 9 9 9 8 7 6 5 4 5 6 7 8 9 11 14 15 15 14 12 9 7 6 7 8 8 9 10 11 11 10 9 9 10 11 11 10 9 8 9 10 11 11 11 11 10 10 11 11 11 9 7 7 8 10 12 11 10 10 10 10 10 10 10 10 9 8 6 5 4 4 4 5 4 3 1 -1 -2 -3 -3 -3 -3 -2 -1 -1 -0 1 1 2 3 3 4 5 6 7 8 9 11 11 11 11 11 11 11 12 13 14 15 15 15 15 13 13 12 12 12 11 11 11 12 nan
nan 5 5 7 8 9 9 9 7 6 5 5 5 4 4 4 6 7 8 8 10 12 14 14 13 11 10 9 8 8 8 9 10 11 11 9 7 5 5 6 9 10 11 10 9 8 9 12 15 15 12 8 7 9 11 13 13 14 14 13 13 12 11 10 10 9 7 7 8 9 9 9 9 9 8 7 6 4 4 4 5 5 5 5 7 10 11 11 12 11 11 11 10 8 5 5 8 11 13 13 11 10 10 12 13 12 11 10 9 9 9 10 10 10 10 11 11 12 12 12 10 9 9 9 10 11 10 9 9 9 9 10 10 9 9 8 6 5 5 5 6 6 6 6 4 2 -0 -1 -1 -1 -2 -2 -1 -1 -0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 15 15 15 14 14 14 15 15 15 15 14 13 12 12 12 12 11 11 10 10 11 nan
nan 6 7 7 9 10 12 11 9 7 5 6 7 7 8 8 9 10 9 10 12 14 15 15 13 12 11 11 11 11 10 10 11 11 10 9 8 6 5 5 7 10 10 10 8 8 9 12 15 17 15 10 6 6 7 10 12 13 14 14 13 12 12 12 12 12 10 8 8 9 9 8 8 8 8 7 6 4 4 5 5 5 4 4 4 5 6 8 9 11 12 13 11 7 3 3 7 10 12 13 12 10 10 11 12 11 11 10 10 9 8 8 9 10 10 11 12 13 13 13 12 10 9 8 8 8 7 8 8 8 8 9 9 9 8 8 7 6 6 6 7 8 8 7 6 4 3 2 3 3 3 3 3 4 4 5 6 6 8 9 10 11 12 13 14 15 16 17 18 17 16 15 15 14 13 13 13 13 13 12 11 11 11 11 11 10 9 8 8 9 nan
nan 7 7 8 9 11 13 13 11 9 8 9 10 11 11 11 12 11 11 12 14 15 14 14 13 12 12 12 12 12 12 11 11 11 10 10 9 9 8 8 8 10 11 10 9 9 9 10 13 15 16 13 8 6 7 9 11 12 13 12 12 11 11 12 12 12 11 10 11 12 12 10 9 9 8 7 5 5 5 5 6 6 5 4 3 2 3 5 7 10 12 14 12 7 3 2 5 9 12 13 11 10 9 10 10 10 10 10 8 7 7 8 10 10 11 11 12 14 14 13 12 11 9 7 6 6 7 8 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 8 7 6 5 5 6 6 7 7 7 7 8 8 9 10 12 13 15 16 17 18 19 19 19 18 17 15 13 12 11 11 10 10 10 11 11 10 10 10 10 10 9 8 6 6 7 9 nan
nan 6 6 7 9 11 13 14 14 12 11 11 12 12 12 12 12 12 12 13 14 14 13 13 12 12 12 12 12 12 12 12 12 12 11 10 11 11 11 10 10 11 10 10 10 10 10 10 11 13 15 13 9 8 9 10 11 12 12 11 11 11 11 11 12 11 11 12 15 16 15 14 12 10 9 7 5 5 5 5 6 7 6 6 5 5 4 4 6 8 11 13 12 8 4 3 4 8 12 13 12 10 9 9 9 9 9 8 6 5 6 8 11 12 12 11 11 12 13 12 11 10 9 7 6 6 7 8 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 10 9 8 8 9 9 9 10 9 10 10 10 10 12 14 17 19 21 21 22 21 20 18 16 14 11 10 9 9 8 8 8 9 10 11 11 10 10 10 10 10 8 7 6 7 9 11 nan
nan 5 5 6 7 10 13 14 15 13 12 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 10 10 9 8 6 6 8 10 11 11 11 12 11 9 8 8 10 11 12 12 12 12 12 12 11 11 11 11 11 13 17 18 17 16 14 12 11 9 7 5 5 5 6 6 7 7 9 9 8 6 5 6 8 11 11 8 5 3 4 8 12 13 12 11 11 11 10 9 8 7 5 4 6 9 12 13 13 11 10 10 11 11 10 9 8 7 6 6 7 8 10 11 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 13 15 18 21 22 22 21 19 17 14 12 9 7 6 6 7 8 9 9 10 10 11 12 12 12 12 12 11 10 9 8 8 9 11 12 nan
nan 5 5 5 6 8 10 12 13 12 10 9 10 10 11 11 11 11 11 12 13 13 12 11 10 8 8 9 11 13 14 14 14 14 16 16 13 10 8 7 6 5 3 2 4 7 9 10 10 9 8 6 6 8 11 13 14 14 15 14 13 12 11 10 10 10 12 15 17 18 19 19 18 16 13 11 9 7 6 6 7 7 8 9 11 12 11 8 6 5 6 7 9 8 6 4 4 7 10 11 12 13 14 13 11 9 7 5 3 4 7 9 11 12 11 10 9 9 10 10 10 9 8 7 7 7 8 9 11 12 13 13 12 11 10 10 11 12 12 12 13 13 12 12 11 11 11 10 10 10 10 10 10 10 12 15 17 19 19 19 17 14 11 9 7 6 5 5 6 7 8 10 11 11 11 11 11 12 13 13 13 13 12 11 10 9 10 10 12 12 nan
nan 8 8 7 7 7 8 9 9 9 8 8 9 10 11 11 11 11 10 11 12 12 11 10 7 5 5 7 10 13 16 17 18 19 20 19 14 10 7 5 5 5 4 3 3 4 5 6 7 7 7 6 8 10 12 13 14 15 16 15 12 9 8 6 7 9 12 15 17 19 20 21 20 18 15 13 11 10 10 10 11 11 11 13 14 14 12 9 7 6 5 5 6 6 6 6 5 6 7 8 11 12 13 12 10 8 6 3 3 5 7 8 8 7 7 7 7 8 9 9 10 9 9 9 10 11 13 14 15 15 16 15 14 12 11 11 12 13 14 15 15 14 14 13 11 10 9 9 9 9 9 9 10 11 12 12 13 12 11 10 8 6 4 4 5 6 6 7 8 9 10 11 11 11 10 10 10 11 12 13 12 12 12 11 10 10 10 11 11 11 nan
nan 13 13 11 10 9 8 7 7 7 8 8 9 10 11 11 10 10 9 10 10 10 8 7 6 4 4 6 9 12 16 18 20 21 20 17 12 7 5 5 6 8 8 7 6 4 2 2 3 5 7 9 11 13 14 14 14 14 14 13 10 6 4 3 3 6 11 14 17 19 20 20 19 18 16 14 14 14 14 15 15 15 15 16 17 16 13 10 8 8 7 5 5 5 6 7 7 7 6 7 10 11 11 10 8 6 5 3 3 5 6 5 5 4 4 6 7 8 9 9 8 8 9 11 15 17 19 21 21 20 19 17 15 13 12 11 12 13 14 15 15 14 14 12 11 9 8 8 8 9 9 9 9 9 8 6 5 4 3 3 3 3 3 5 7 8 8 9 10 10 11 11 11 11 10 10 11 12 12 13 14 13 12 11 11 11 10 10 10 10 nan
nan 15 15 15 14 12 10 9 8 9 9 9 10 10 11 11 10 9 9 9 9 7 5 4 5 6 6 7 8 11 14 16 17 17 15 12 9 5 4 5 7 9 10 10 9 7 4 1 2 4 8 10 12 14 14 14 13 13 12 10 7 4 1 1 2 5 10 14 16 18 18 17 16 15 15 15 15 16 16 16 16 16 17 18 19 17 14 12 11 11 10 7 6 6 7 8 8 8 8 9 10 10 9 7 6 6 5 5 4 5 6 6 6 6 6 8 9 9 9 8 8 8 9 12 17 20 23 25 25 23 20 18 16 14 13 12 11 10 11 12 13 13 13 13 12 11 10 9 8 7 6 5 4 3 1 -0 -0 0 1 2 3 4 6 7 8 9 9 9 10 10 10 11 12 12 12 12 14 15 16 17 16 14 12 11 11 10 10 10 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
77 74 71 71 77 92 106 107 103 102 105 110 120 130 124 107 92 83 79 75 70 65 66 63 60 58 56 55 56 58 60 61 65 71 75 73 68 64 67 76 82 89 87 73 57 47 49 47 45 51 67 73 69 68 76 93 120 160 193 182 150 153 169 158 108 47 15 12 13 13 14 14 12 9 7 3 1 0 0 0 0 0 0 6 40 97 158 188 210 219 197 147 109 81 61 61 61 56 60 68 62 35 5 6 3 5 18 20 14 18 24 14 3 4 11 8 3 0 0 0 0 0 0 0 0 0 1 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 0 0 0 1 2 2 2 2 2 6 15 38 91 189 340 474
87 81 73 66 64 69 79 90 92 98 103 111 125 138 136 116 96 86 80 77 73 67 64 62 60 59 58 57 57 58 61 62 63 64 66 67 64 62 64 73 84 94 101 89 72 60 55 50 47 52 72 83 78 78 89 108 136 173 197 190 170 197 199 162 99 40 19 19 21 21 19 18 14 9 6 3 0 0 0 0 0 0 0 11 46 92 157 179 222 237 202 153 116 87 63 59 55 46 47 57 56 31 1 1 0 0 12 18 22 29 30 20 10 3 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 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 1 1 0 0 0 2 3 4 15 28 74 140 209 283 354 427 499
93 85 75 68 64 66 73 85 91 96 100 111 130 145 143 124 103 89 81 76 72 69 66 63 61 60 59 58 61 65 68 69 69 69 69 70 68 65 64 70 82 94 106 101 86 70 61 58 57 64 86 104 93 86 101 129 161 188 202 206 192 223 193 141 91 56 41 44 48 42 31 21 14 8 4 2 0 0 0 0 0 0 1 16 48 92 149 176 225 233 205 161 116 81 59 53 47 30 29 44 47 26 3 0 0 1 7 13 28 33 25 16 13 6 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 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 9 5 1 0 0 2 6 20 76 190 334 465 538 544 522 514 547
94 87 75 68 65 66 72 82 89 90 95 109 133 149 148 132 109 93 84 77 74 73 72 70 68 64 61 62 70 76 81 84 83 82 83 86 83 74 66 67 75 85 95 100 87 74 66 65 68 83 109 124 113 97 112 148 183 204 211 212 208 219 167 139 118 110 107 99 83 59 37 21 12 7 2 0 0 0 0 0 0 0 6 21 45 82 129 170 228 252 239 186 124 79 56 45 37 19 16 31 38 23 6 1 2 3 3 8 21 32 27 17 11 5 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 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 5 22 54 66 45 18 17 60 152 298 471 617 683 669 615 577 602
98 91 81 71 67 69 74 80 89 94 95 108 127 142 145 132 114 98 88 81 80 82 84 85 85 79 69 67 78 85 89 93 98 101 103 104 98 83 69 65 70 77 87 97 91 72 63 64 71 97 130 144 131 113 121 158 197 224 229 221 215 198 140 168 166 153 132 106 78 50 27 14 7 3 1 0 0 0 0 0 0 1 8 17 34 60 94 141 208 260 269 207 128 79 55 41 30 17 14 22 34 16 3 1 2 3 10 19 24 28 26 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 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 66 147 166 114 45 32 102 225 377 549 690 758 742 682 648 678
107 100 89 78 70 72 76 80 88 91 95 106 118 132 143 136 119 103 92 89 92 100 109 115 117 108 92 82 86 88 89 92 101 110 113 113 105 89 74 66 68 76 89 104 98 70 58 56 61 93 137 159 146 123 127 164 208 252 267 255 214 162 136 179 171 130 92 63 42 26 14 7 3 0 0 0 0 0 0 0 1 4 8 14 30 46 65 104 176 258 298 231 129 78 53 38 27 19 16 20 31 7 1 0 0 3 11 22 32 30 17 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 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 36 82 101 76 38 45 127 253 409 576 718 791 787 750 738 763
115 109 98 85 76 75 78 82 91 88 92 101 111 122 134 136 120 103 94 95 108 123 132 142 147 143 124 103 94 92 87 86 92 103 113 116 111 99 88 82 80 84 93 112 103 75 58 48 46 75 134 176 171 142 137 172 227 300 326 263 171 142 161 174 136 79 40 21 13 10 7 4 1 0 0 0 0 0 0 0 0 1 6 14 35 49 61 90 166 255 278 203 116 77 54 40 31 29 32 33 15 2 0 0 0 0 2 7 19 30 20 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 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 7 15 18 50 141 279 440 596 724 788 800 802 818 842
123 117 107 95 84 80 83 89 94 89 90 97 105 113 123 130 120 102 94 98 108 119 126 135 142 150 145 119 105 98 90 84 84 96 110 116 113 105 96 93 94 96 99 111 108 91 71 50 39 57 123 179 177 148 143 175 238 327 370 224 128 161 176 141 82 32 7 3 3 3 2 1 0 0 0 0 0 0 0 0 0 2 8 17 38 62 78 110 200 272 248 161 108 78 60 47 42 42 41 27 5 2 8 3 7 4 1 0 1 9 16 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 10 12 49 154 309 463 600 706 764 799 830 864 894
136 125 116 107 97 90 89 92 96 93 90 94 98 104 110 115 113 103 95 96 97 94 91 93 100 116 135 117 110 106 97 88 87 95 107 114 111 102 90 84 90 102 107 108 115 106 85 55 35 48 109 177 190 165 151 169 223 295 324 206 94 203 182 102 42 13 3 1 1 0 0 0 0 0 0 0 0 0 0 2 4 8 16 31 64 116 134 172 258 296 244 159 108 84 66 55 54 53 49 33 18 16 22 12 17 13 5 0 0 1 3 5 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 1 4 5 37 153 327 476 591 681 744 792 835 877 911
153 140 128 121 112 102 96 95 94 92 90 90 93 97 98 101 104 103 99 96 93 86 73 60 56 67 86 96 99 106 98 89 87 93 104 112 112 102 89 79 88 103 110 108 113 112 94 64 37 38 82 146 180 162 143 157 203 275 290 199 129 235 135 56 20 8 2 0 0 0 0 0 0 0 0 0 0 3 14 32 35 37 44 86 157 222 231 260 364 372 265 162 112 93 77 65 70 74 73 60 47 43 39 22 12 15 11 4 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 1 22 136 317 466 575 659 726 776 821 866 905
173 160 147 136 126 116 109 102 97 93 91 89 89 90 88 92 99 102 100 96 92 87 77 63 51 47 52 67 80 92 88 86 87 93 103 112 114 107 93 84 87 101 109 107 107 114 107 79 42 26 47 98 147 155 136 143 177 245 262 200 157 185 67 18 10 7 3 1 0 0 0 0 0 1 2 8 17 38 84 137 143 149 156 209 273 316 337 392 533 514 302 160 112 100 90 86 95 108 106 87 74 66 56 38 15 17 22 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 2 31 140 301 447 556 640 706 754 796 839 876
182 175 163 147 134 126 121 113 103 97 93 91 90 88 88 91 96 99 98 93 89 91 94 92 82 70 62 64 70 75 78 83 91 102 111 117 117 111 99 89 86 99 109 107 105 113 115 92 48 24 33 74 123 147 138 131 149 213 268 234 193 156 50 8 7 7 4 1 0 0 0 0 0 9 34 50 64 91 150 227 275 304 325 345 376 420 483 576 678 619 311 149 112 117 119 119 128 140 134 111 96 82 70 53 32 30 36 30 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 4 51 177 328 451 540 619 685 731 770 805 827
186 187 179 159 140 131 128 122 111 102 95 92 92 92 90 85 87 91 94 94 93 96 104 114 118 110 96 88 80 75 75 79 91 110 123 127 124 115 103 92 85 97 110 104 98 108 120 103 58 28 25 52 99 131 132 123 138 204 291 241 198 134 49 11 7 9 4 1 0 0 0 0 3 22 90 64 48 59 100 173 263 347 408 451 513 581 656 734 762 626 290 131 121 158 174 170 164 158 146 119 105 85 69 55 46 46 41 23 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 3 49 176 329 446 523 596 660 711 752 788 804
182 191 190 166 141 129 126 124 117 109 99 92 92 95 94 89 84 84 88 89 89 92 100 114 126 131 128 116 103 91 80 77 89 111 127 135 135 125 109 94 88 94 110 106 94 107 122 108 68 34 23 36 72 107 119 121 146 207 276 240 203 121 50 19 13 12 6 1 0 0 0 0 0 2 6 15 13 11 24 74 170 296 421 536 655 714 733 727 661 491 252 118 142 223 251 235 201 168 145 117 101 79 60 50 47 48 41 22 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 29 142 309 430 498 563 624 680 725 765 782
169 182 181 162 134 119 116 118 120 117 108 97 91 94 100 99 91 84 83 86 88 89 92 99 110 122 132 134 126 112 94 83 84 96 114 132 146 143 125 101 88 92 108 118 95 107 120 105 71 41 25 24 47 84 101 112 153 221 287 313 238 128 60 29 19 15 9 3 0 0 0 0 0 0 0 2 1 0 2 25 100 242 425 605 715 731 684 591 473 350 234 157 187 292 323 290 225 170 138 110 86 63 50 44 44 44 34 16 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 15 111 294 409 462 517 572 630 676 714 728
154 167 168 154 132 110 103 105 112 117 114 107 98 91 100 105 100 91 83 81 84 88 89 87 90 100 117 134 140 129 113 98 87 88 105 128 156 172 155 122 100 99 115 123 98 106 117 100 71 46 29 23 35 67 90 104 160 219 304 402 311 158 79 38 20 13 8 3 0 0 0 0 0 0 0 0 0 0 0 6 47 190 411 606 676 644 567 457 362 310 258 209 232 314 333 292 220 162 126 101 77 54 43 39 37 37 27 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 21 123 288 375 421 474 522 568 611 650 671
143 156 160 153 135 112 97 92 95 104 114 117 111 101 94 100 101 97 90 82 78 80 81 78 77 84 100 121 136 135 129 121 108 109 121 141 172 204 204 163 128 123 132 132 115 116 122 99 72 53 37 26 33 59 86 113 191 219 327 421 324 160 83 38 17 9 4 1 0 0 0 0 0 0 0 0 0 0 0 1 15 150 349 503 551 512 438 357 318 316 274 221 211 234 232 207 164 123 95 73 54 39 33 33 33 31 19 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 26 169 272 318 364 421 465 497 531 566 592
139 152 158 155 140 121 104 93 89 94 109 122 122 114 105 99 103 102 98 91 84 78 75 73 72 76 87 105 117 120 124 129 136 151 155 163 190 226 243 215 178 172 176 172 159 148 139 107 73 58 46 35 37 58 90 141 247 227 332 409 326 164 77 29 12 5 1 0 0 0 0 0 0 0 0 0 0 0 1 5 22 145 294 397 428 399 344 296 298 310 253 179 136 130 127 114 95 73 53 37 28 26 24 23 26 27 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 26 187 247 266 302 351 389 410 427 449 472
140 151 156 152 141 127 115 105 97 96 105 117 126 126 119 110 104 101 101 97 92 85 80 77 75 77 85 89 91 92 98 113 139 168 179 188 212 247 276 278 253 235 237 240 227 199 166 126 85 64 53 48 49 63 106 185 285 233 310 392 330 183 71 21 7 2 0 0 0 0 0 0 0 0 0 0 0 0 3 13 37 147 272 339 349 320 280 256 267 268 194 113 78 78 85 82 73 57 35 25 24 24 19 14 18 30 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 3 20 107 188 214 238 272 302 318 324 329 336
140 151 153 145 134 127 121 115 111 108 107 109 116 127 128 121 110 103 99 95 92 89 85 82 80 78 79 79 80 79 84 99 127 164 193 222 244 272 306 321 304 272 258 281 288 252 204 159 114 78 57 52 52 68 123 206 276 271 304 409 355 199 72 19 5 2 0 0 0 0 0 0 0 0 0 0 0 1 7 22 62 152 266 314 297 264 239 231 236 220 140 76 59 65 72 75 71 58 38 31 31 27 20 16 21 33 21 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 2 10 25 88 124 148 172 197 218 232 239 236
147 151 148 138 126 118 115 113 112 110 105 101 101 109 118 124 119 112 105 98 92 91 89 86 84 82 80 78 81 87 100 116 144 180 218 257 275 289 330 366 356 304 260 274 315 301 252 198 147 100 69 55 52 74 140 204 263 309 338 422 378 218 86 22 4 1 0 0 0 0 0 0 0 0 0 2 13 12 20 41 84 156 239 276 245 210 201 206 206 181 123 67 59 62 68 72 74 71 57 46 41 27 16 13 14 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 1 3 5 16 36 52 64 79 99 122 141 148
148 142 134 125 114 105 100 96 93 91 91 90 88 88 90 99 104 110 113 113 111 107 100 93 87 85 82 83 92 109 143 174 211 247 282 309 320 324 373 438 444 380 300 271 306 332 280 221 171 128 89 64 60 90 150 207 276 323 347 383 367 235 99 27 4 0 0 0 0 1 2 1 0 0 1 11 69 55 61 80 115 165 212 224 192 165 162 167 170 158 122 68 55 54 64 60 56 58 59 51 38 20 11 6 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 1 5 9 9 8 11 19 32 47 61
123 117 109 104 99 94 89 85 80 77 78 78 78 78 78 79 83 90 103 116 128 134 131 118 102 92 90 92 104 133 185 244 300 341 370 381 375 376 415 492 527 461 353 288 294 326 312 256 209 166 117 78 77 115 166 227 305 333 335 341 326 226 98 29 5 0 0 0 0 0 1 0 0 0 0 26 101 122 132 142 158 184 204 198 168 148 148 147 150 147 118 68 50 53 76 54 33 31 36 32 21 12 6 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 2 6 8 2 1 1 2 5 7
102 100 95 94 93 91 89 87 86 83 79 76 72 75 83 88 84 78 87 101 120 144 159 154 132 112 110 110 123 152 195 250 321 387 438 447 431 429 469 535 552 469 368 309 301 318 318 289 252 214 148 96 102 161 217 243 286 270 264 289 283 200 95 27 5 0 0 0 1 2 1 1 0 0 0 14 72 158 222 230 209 192 186 175 155 142 143 144 154 157 136 97 65 61 60 34 12 13 24 31 29 19 8 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 2 5 2 3 2 0 0 0
95 94 93 91 89 88 86 84 83 81 78 74 70 69 69 74 78 76 78 88 102 126 148 155 145 129 129 128 152 179 211 248 295 358 431 475 490 505 535 553 512 430 360 326 317 321 321 306 285 250 169 106 129 215 281 272 234 156 143 203 240 193 99 29 4 1 0 2 6 7 3 2 0 0 0 0 53 175 300 322 254 187 148 134 134 133 133 128 149 162 150 123 96 76 48 28 22 27 35 34 24 21 23 21 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 2 1 0 0 0
90 90 88 86 85 83 80 77 75 74 73 72 70 69 69 69 71 72 72 72 72 81 102 120 128 130 137 149 177 211 246 275 296 326 386 463 520 551 560 536 476 409 362 351 336 338 337 327 305 259 173 115 170 286 343 292 179 69 62 130 186 173 107 40 8 2 5 8 11 9 4 2 0 0 0 0 52 182 322 362 290 207 159 132 129 136 137 129 139 144 139 132 116 88 57 43 49 60 63 56 50 56 56 21 1 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 0 0 1 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
82 84 82 81 80 78 75 73 71 69 68 67 66 65 65 66 69 70 73 76 78 81 92 110 126 138 147 163 192 229 261 294 313 329 364 425 485 508 499 475 433 389 370 378 364 367 359 345 319 265 186 141 235 389 409 296 141 40 35 72 110 139 107 51 15 7 11 17 16 11 5 2 1 2 1 0 26 145 287 343 284 199 177 154 135 136 143 150 163 165 161 158 140 107 75 65 82 109 126 147 192 170 84 20 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 6 5 5 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
76 78 78 78 77 74 72 70 67 65 65 67 67 67 68 68 67 67 76 87 99 110 118 129 146 165 178 194 216 237 256 291 308 325 348 380 411 424 421 414 385 364 371 396 403 407 391 366 332 272 208 202 314 484 468 290 121 39 31 40 56 93 73 37 16 15 22 28 24 15 5 4 8 8 3 1 4 102 239 301 250 162 151 166 131 124 128 144 167 177 171 165 147 122 111 121 150 182 204 217 182 90 27 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 8 13 16 14 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
74 75 76 77 76 71 68 67 66 67 70 74 76 78 80 82 80 78 93 102 115 132 144 155 171 200 226 241 247 254 265 286 303 322 339 355 367 375 379 379 357 343 364 403 433 441 428 389 339 278 243 286 420 553 468 238 98 43 27 25 42 53 35 18 18 31 44 47 35 24 9 16 24 18 6 1 2 110 235 298 273 198 157 185 174 140 120 123 137 145 140 133 123 129 145 164 178 172 137 93 45 15 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 1 6 7 12 11 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
74 74 75 75 74 69 67 67 68 71 76 81 84 88 96 105 111 118 132 135 143 157 170 185 209 244 280 288 291 297 302 309 319 326 341 352 360 366 371 371 354 336 360 399 437 460 453 404 343 301 307 386 500 537 380 153 65 36 18 15 23 23 15 10 28 51 64 59 41 29 22 37 49 30 8 1 22 139 252 300 296 229 152 146 195 192 158 140 152 163 159 149 148 171 193 192 160 105 48 16 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 4 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
73 73 72 72 73 71 68 70 73 78 82 87 91 98 109 123 143 163 178 185 194 206 212 226 253 289 326 351 348 360 364 365 366 361 363 371 382 388 388 383 372 359 370 396 428 450 441 404 371 354 374 433 476 411 235 75 29 22 11 13 16 16 10 7 30 60 65 53 41 40 47 64 78 39 11 1 38 148 254 275 278 253 178 131 165 203 211 192 231 265 278 292 320 320 290 227 132 53 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
72 72 71 71 73 74 74 77 82 87 97 108 118 129 142 162 187 200 218 233 239 249 254 268 293 323 352 375 388 409 416 409 401 395 390 398 413 417 413 408 400 392 398 405 431 433 416 406 405 398 391 392 351 225 97 26 17 19 16 32 33 24 12 7 20 44 47 42 50 63 77 100 99 39 11 2 32 126 242 281 240 220 137 86 104 159 218 248 325 366 364 352 347 316 252 155 66 17 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0
71 73 74 76 79 82 87 95 104 116 135 152 168 183 197 210 225 220 239 259 281 297 300 305 319 332 349 371 393 417 431 420 408 405 410 421 432 433 427 422 415 424 437 435 448 420 405 410 398 357 307 270 211 122 56 22 16 18 26 78 82 51 19 5 9 17 18 31 60 87 121 131 81 21 4 0 7 79 199 270 216 161 91 56 78 145 230 288 316 288 228 176 147 135 101 46 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
71 74 78 83 88 95 107 120 136 155 172 187 201 214 225 227 225 220 230 246 272 294 307 317 329 334 335 348 373 400 423 427 411 410 425 432 429 425 427 435 438 447 460 463 456 420 411 390 339 254 171 131 131 115 85 37 17 15 39 119 117 58 16 3 5 11 19 34 64 112 149 121 49 10 0 0 0 33 121 214 230 178 130 72 69 115 172 201 176 117 67 41 31 28 19 6 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 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
77 82 88 95 105 118 134 148 160 174 187 196 200 204 204 201 199 199 202 208 229 253 275 293 308 318 323 337 359 389 412 418 409 418 453 448 424 412 423 447 463 467 470 483 467 429 410 354 256 162 96 88 143 197 168 43 13 11 34 73 49 14 3 2 8 18 29 41 65 141 119 67 21 4 0 0 0 5 58 154 205 154 70 27 24 54 74 73 54 27 11 6 4 3 2 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0
90 98 108 119 132 146 159 168 174 182 189 191 190 187 184 177 175 176 181 188 199 213 235 255 273 288 303 320 348 382 405 411 416 444 498 480 441 423 434 456 470 463 453 501 467 402 361 300 187 124 108 129 200 276 237 42 15 22 23 19 8 2 2 9 19 27 36 56 96 120 57 22 7 2 1 0 0 0 23 82 119 84 12 4 11 21 19 14 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
106 117 130 142 157 168 174 180 189 191 189 183 176 174 175 172 172 174 182 193 197 190 205 223 240 260 285 315 360 399 412 416 435 478 520 508 478 465 471 486 486 455 418 462 379 304 267 238 180 135 132 157 225 279 235 72 31 41 25 13 8 7 10 20 32 38 50 77 95 68 17 5 2 1 0 0 0 0 4 19 33 23 4 3 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 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
124 135 146 158 175 181 184 187 190 186 174 161 155 157 167 174 170 178 198 216 213 195 195 210 222 238 262 305 372 432 456 439 456 486 505 507 502 502 502 502 477 435 395 349 218 174 171 173 151 114 91 128 225 256 187 88 59 58 33 27 28 27 23 24 36 60 92 109 91 48 12 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 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
142 151 160 169 179 183 185 185 179 165 145 136 135 141 151 163 175 186 211 223 196 168 175 205 232 249 276 324 394 464 499 471 471 474 483 490 495 501 501 473 410 386 331 205 84 66 77 91 90 70 54 83 160 174 118 80 76 69 46 37 37 33 24 23 39 78 128 129 93 45 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 4 4 2 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 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
154 161 169 176 178 176 173 169 157 140 127 125 132 143 155 175 198 217 234 234 191 164 177 222 274 303 319 361 429 479 488 469 467 448 442 450 468 483 488 460 377 320 218 104 44 39 51 49 44 39 39 48 69 94 94 76 69 64 48 27 17 10 8 18 44 82 122 115 77 34 9 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 11 10 8 6 3 2 1 1 0 0 0 0 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
160 167 171 170 166 160 153 144 134 128 126 130 143 161 177 195 224 251 261 240 185 154 174 234 298 340 360 400 453 464 406 356 344 256 226 282 363 427 451 428 348 239 125 59 37 35 33 29 27 26 27 29 34 46 87 69 55 44 31 14 3 0 6 21 42 58 60 42 26 13 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 16 16 14 11 10 5 3 2 1 0 0 0 2 3 4 4 3 2 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 0 0 0 0 0
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