Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 10 12 12 11 10 9 7 7 8 9 9 8 9 11 13 14 16 16 15 13 13 13 13 12 10 7 3 2 2 5 9 10 9 7 5 3 2 2 4 7 9 10 11 12 12 13 11 10 8 6 5 6 6 8 9 9 9 9 8 8 7 7 6 5 6 7 8 8 7 9 11 11 10 8 7 7 7 7 6 7 7 6 6 6 6 7 8 10 12 13 15 15 15 13 11 8 8 9 12 13 11 7 4 5 9 11 11 7 4 4 5 7 9 9 8 7 7 9 13 17 20 19 17 12 8 8 11 12 11 9 7 5 6 7 10 13 14 12 10 8 7 9 12 13 9 6 6 7 7 8 8 8 7 6 5 8 11 12 11 6 1 -0 2 5 7 6 6 7 7 7 7 7 7 8 9 9 9 9 7 6 6 5 6 6 7 8 9 9 10 nan
nan 10 11 12 11 10 7 5 5 7 9 8 9 10 12 13 14 15 16 15 12 11 11 12 11 9 7 4 2 3 6 10 13 14 13 10 5 2 2 4 7 9 10 11 13 14 15 15 13 10 7 5 5 6 7 9 9 9 7 7 7 7 7 7 6 6 8 8 8 6 7 9 11 10 9 8 9 9 8 7 6 6 5 4 4 5 6 8 10 12 13 14 14 13 12 11 10 11 12 13 13 12 8 4 3 6 9 10 9 7 6 7 9 11 12 10 5 1 1 5 11 17 20 18 13 12 15 18 16 12 8 4 1 -2 -1 3 9 15 15 14 11 10 9 9 8 6 5 6 7 7 7 8 9 9 9 8 8 8 8 6 3 -1 -3 -1 2 4 4 5 5 6 7 7 7 7 8 8 8 7 7 6 6 6 6 7 8 8 9 10 10 11 nan
nan 11 12 13 13 11 7 5 5 6 8 8 10 11 13 13 13 13 13 12 11 10 10 10 10 8 7 5 4 5 7 9 12 14 14 12 9 5 4 6 8 9 11 11 12 13 15 16 15 11 7 5 5 6 7 9 9 8 7 7 7 7 7 7 7 8 9 10 9 7 6 8 9 9 9 8 9 10 9 8 7 5 4 4 4 4 5 7 9 10 12 13 13 14 15 15 15 14 13 12 12 11 8 4 1 1 4 7 8 9 8 8 10 13 16 14 6 -1 -4 -2 4 12 17 16 13 14 20 22 18 11 6 3 0 -2 -3 0 5 9 12 12 10 9 8 7 6 4 5 7 7 7 7 7 9 11 12 12 11 9 8 7 5 2 -0 0 2 2 3 3 4 5 6 7 7 7 7 6 6 6 6 5 6 6 6 7 8 8 9 10 10 10 nan
nan 12 13 13 13 12 9 7 7 8 9 9 11 13 14 14 13 12 11 10 10 10 10 10 9 8 7 7 6 6 6 6 6 8 9 10 9 8 7 9 10 11 11 12 11 12 13 13 13 11 7 5 4 5 7 9 9 8 8 8 8 8 7 7 8 8 10 10 9 8 7 7 8 8 7 7 8 9 9 8 7 6 5 5 5 5 5 5 7 9 11 13 14 15 16 16 16 14 13 11 11 10 7 4 1 -1 1 4 6 8 8 8 9 13 17 17 11 2 -4 -4 -1 6 12 13 12 13 17 19 15 9 7 7 7 5 4 5 7 8 9 9 8 7 7 7 7 6 6 7 7 7 6 7 9 13 15 16 15 13 11 9 7 6 4 3 3 3 4 4 4 4 5 5 5 6 5 5 5 5 6 6 6 7 7 7 7 7 8 8 9 9 nan
nan 12 12 12 12 10 9 8 8 10 10 11 12 15 16 15 14 12 10 10 9 10 10 10 9 8 6 6 5 4 4 3 2 2 4 7 9 9 10 11 11 12 12 12 12 10 9 9 10 10 9 7 6 6 7 9 10 9 9 9 9 7 6 6 7 8 10 10 9 8 7 7 7 7 7 6 6 7 8 8 7 7 7 7 8 7 6 5 5 7 10 13 15 16 14 13 13 11 10 10 10 9 7 4 1 0 1 3 6 7 8 8 8 11 16 18 15 8 0 -3 -2 2 8 12 13 14 15 15 12 9 9 11 12 11 11 11 12 11 11 10 9 8 8 8 8 7 6 6 6 6 6 7 11 14 17 18 17 15 13 12 11 10 8 6 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 8 8 8 7 7 6 6 7 8 8 nan
nan 10 10 10 9 8 7 7 9 11 11 12 14 15 16 15 14 12 10 9 10 10 10 9 8 7 5 4 3 4 5 5 5 5 6 8 11 13 13 12 12 12 13 13 13 11 9 8 8 9 10 10 9 8 7 8 9 9 10 10 9 8 6 5 5 7 9 10 9 8 7 7 7 7 7 6 6 6 6 6 6 7 8 9 10 10 8 6 5 6 8 12 15 17 16 14 11 9 9 9 10 10 9 6 3 2 2 5 8 10 9 8 6 7 11 15 15 11 5 1 0 2 6 11 13 14 14 13 12 10 10 11 12 11 11 12 12 12 12 12 11 11 10 9 8 7 6 5 5 5 6 8 11 15 16 16 15 14 14 15 15 14 10 8 7 7 7 7 6 6 4 3 3 3 4 5 6 7 8 8 9 9 9 9 8 7 6 6 7 7 nan
nan 10 10 9 7 5 5 7 10 12 13 14 15 15 14 13 11 10 9 8 10 11 10 8 6 6 5 3 2 4 8 10 11 11 11 13 15 17 15 13 11 11 13 14 14 14 12 10 9 9 10 11 10 9 7 6 6 7 8 9 9 8 7 6 5 6 8 9 9 8 7 7 7 8 7 7 7 6 5 5 6 7 9 11 12 11 10 8 6 6 7 11 15 17 17 15 13 10 9 9 10 12 13 10 6 3 4 8 12 13 12 8 5 4 6 8 10 10 8 6 5 5 6 8 8 8 10 11 11 9 7 8 8 8 9 10 10 10 10 10 10 10 11 10 10 9 7 6 6 6 6 7 10 12 13 13 13 13 14 17 18 16 12 9 8 7 8 8 8 7 6 4 3 3 4 5 6 7 8 9 10 10 10 10 9 8 7 6 7 7 nan
nan 10 9 8 6 4 5 8 11 13 15 15 15 13 12 11 11 10 9 9 9 10 9 8 6 5 5 5 4 6 10 12 13 13 13 15 17 18 16 12 10 10 11 13 14 15 15 13 10 9 9 9 10 8 6 5 4 4 5 6 8 9 9 8 6 6 7 8 9 9 8 7 8 8 8 8 7 7 7 7 9 10 11 12 12 12 10 8 7 6 7 10 14 16 15 15 14 12 10 9 10 12 14 12 8 5 6 9 13 15 12 8 4 4 4 5 6 8 9 8 7 7 7 7 5 5 7 8 8 7 4 3 4 5 6 7 8 8 7 6 6 7 9 10 11 11 10 9 7 6 6 6 7 8 9 9 9 10 12 16 18 16 13 10 8 8 8 8 8 8 7 6 5 4 4 5 6 7 8 9 9 10 10 10 10 9 8 7 7 7 nan
nan 8 8 8 7 6 6 8 11 14 16 16 14 12 12 11 11 11 10 10 9 8 8 7 7 7 7 7 7 8 9 10 10 11 11 12 14 16 15 12 10 10 10 11 13 14 15 14 12 9 8 8 9 8 7 6 5 4 3 4 5 7 8 8 8 7 7 8 9 9 8 7 7 7 8 8 8 9 9 10 11 13 13 13 12 11 10 8 7 6 7 9 12 13 12 12 12 12 10 8 8 9 10 11 10 9 8 8 10 12 11 8 5 5 7 8 8 8 8 8 7 8 8 8 7 7 7 7 7 6 4 2 2 2 3 4 5 6 5 3 2 2 5 8 11 11 11 9 8 7 6 6 5 6 6 6 6 7 9 14 16 15 13 11 9 8 8 9 9 9 8 7 6 5 5 5 6 7 8 8 9 9 10 10 10 10 9 8 8 7 nan
nan 7 8 8 7 6 6 8 11 14 17 18 16 13 11 11 11 11 11 9 8 7 7 7 7 6 6 7 8 9 9 9 8 9 9 10 11 11 12 11 11 11 11 11 11 12 13 14 13 12 11 10 9 10 10 9 9 7 6 5 4 5 6 7 9 8 7 7 8 8 8 7 6 7 7 8 9 10 9 9 10 11 13 14 13 11 10 8 7 6 7 8 9 10 9 9 10 10 9 6 5 5 7 11 12 11 9 7 6 7 8 7 6 7 11 14 13 11 9 8 8 9 10 10 10 9 9 10 9 8 6 5 4 2 1 1 2 4 4 3 1 2 4 7 9 10 9 9 9 8 7 6 5 5 5 4 4 6 9 12 15 15 14 11 9 7 7 8 9 9 9 8 7 6 6 5 6 7 7 8 8 8 9 10 10 10 10 10 9 8 nan
nan 7 6 5 5 5 6 8 12 15 18 19 17 13 10 9 10 10 11 10 8 8 7 7 6 5 4 5 7 9 9 9 8 7 7 8 8 9 9 10 10 11 11 11 10 10 12 14 15 15 14 12 11 11 11 11 11 11 9 7 6 5 5 7 8 8 7 6 6 6 6 6 6 6 7 8 9 9 8 6 5 6 9 12 13 12 10 9 7 7 7 7 7 7 6 6 7 7 7 5 5 7 10 13 13 10 7 5 4 5 6 6 6 8 13 17 17 14 11 9 9 11 12 12 11 11 11 11 11 11 11 10 7 3 1 1 3 5 5 5 5 6 7 8 9 9 8 8 9 10 9 8 6 5 4 3 4 7 10 13 14 14 12 10 8 7 7 8 8 9 9 9 8 7 6 5 6 6 7 7 8 8 9 9 10 10 10 10 10 9 nan
nan 5 3 2 3 5 8 10 13 15 18 19 16 12 8 7 9 11 11 11 10 9 8 7 6 5 4 4 6 8 10 9 8 7 7 8 9 8 8 8 8 9 10 10 10 9 10 12 14 14 13 12 10 10 10 11 11 11 10 9 8 7 7 8 8 8 7 6 5 5 5 5 5 6 6 7 8 9 8 5 2 2 5 10 12 12 11 10 9 8 8 8 8 7 6 5 5 5 6 7 8 11 13 14 13 10 7 6 5 6 7 7 8 10 14 18 20 17 13 11 11 12 13 13 12 12 12 12 12 14 14 13 9 4 1 2 6 8 7 7 9 11 11 11 10 9 9 8 9 9 9 8 7 5 5 4 5 8 11 13 14 14 11 9 7 7 8 8 8 9 9 9 8 7 6 5 6 6 7 8 8 8 8 9 9 10 10 11 11 10 nan
nan 4 2 2 4 8 11 12 13 15 17 17 13 10 7 6 8 11 12 12 10 9 9 8 7 7 7 7 7 8 10 10 9 9 9 9 10 9 7 6 6 8 10 10 9 9 8 8 9 9 9 9 8 8 9 10 10 10 9 9 9 9 10 10 9 9 8 7 6 6 6 6 6 7 7 7 7 8 8 7 5 4 6 10 13 13 12 11 10 10 10 9 9 8 6 5 6 8 10 12 12 12 13 13 12 10 9 8 7 8 9 10 11 13 15 18 20 19 16 13 12 12 12 12 11 11 11 12 14 15 15 13 9 5 3 5 8 9 9 9 12 14 15 13 12 10 9 8 7 7 7 6 6 6 6 8 10 11 13 15 15 14 11 9 8 8 8 8 8 9 9 9 9 7 6 6 6 7 7 8 8 8 8 8 9 10 10 10 11 10 nan
nan 4 5 5 8 12 14 14 13 13 14 14 11 8 6 6 8 10 10 10 9 8 9 9 10 12 12 12 10 10 11 12 13 13 13 12 11 8 6 6 6 7 8 9 8 8 7 6 5 6 7 7 8 7 8 8 8 9 9 9 10 10 11 11 9 8 7 7 7 8 8 8 7 8 8 7 7 7 8 9 9 8 10 12 14 14 13 12 11 10 10 9 9 8 6 5 7 11 16 18 16 14 13 12 11 9 8 7 8 9 11 12 12 13 13 14 16 17 16 14 13 13 12 10 9 8 9 11 13 14 13 11 9 6 5 7 9 11 12 13 14 15 15 15 13 11 9 7 6 5 4 4 5 6 9 12 14 16 17 17 17 15 11 9 8 8 8 8 8 9 9 10 9 8 7 6 6 7 7 8 8 8 8 9 9 9 10 10 10 10 nan
nan 6 9 10 13 16 17 15 12 11 12 13 11 8 6 6 7 8 8 8 7 7 8 10 12 14 16 15 13 11 12 13 15 16 16 14 11 8 6 6 6 7 7 6 6 6 6 6 5 6 8 8 8 7 7 7 8 9 10 10 10 11 11 10 8 7 6 5 5 6 8 8 8 7 7 7 7 8 9 10 11 11 13 15 15 14 13 11 10 9 8 8 7 6 5 5 6 11 16 18 17 15 14 12 9 7 5 5 7 9 10 10 8 7 7 7 9 10 11 12 13 14 13 11 8 7 8 8 10 11 10 9 8 6 6 9 12 15 17 17 15 13 13 13 13 11 8 6 5 4 3 3 4 7 10 14 16 17 18 18 17 14 11 9 8 8 8 8 8 9 10 10 11 10 9 8 7 7 7 7 8 9 9 9 9 9 9 10 10 10 nan
nan 9 11 13 15 17 17 15 12 10 13 14 12 10 7 6 6 6 6 6 7 6 7 9 11 13 14 14 12 11 11 12 14 15 16 14 11 8 6 6 7 7 7 6 6 5 5 6 7 8 9 9 8 6 6 8 10 11 11 10 10 11 11 10 9 7 5 3 2 2 5 8 9 8 7 7 7 8 9 10 12 14 15 16 15 13 12 11 9 8 7 6 6 5 4 4 5 7 10 11 12 12 12 11 9 6 3 2 3 5 5 4 3 1 -0 1 2 3 4 8 12 14 14 12 10 9 8 8 7 8 8 8 8 8 8 10 13 16 17 16 13 10 9 9 10 10 7 5 4 3 2 2 4 6 9 12 13 14 15 16 16 13 11 9 9 9 8 9 9 9 10 11 12 12 11 10 8 7 7 7 8 8 9 9 9 9 9 9 10 10 nan
nan 11 12 13 13 14 15 15 14 15 17 18 16 12 8 5 4 4 5 6 6 7 7 8 9 10 11 12 12 13 12 12 12 12 13 13 11 8 6 6 8 10 10 10 9 7 7 7 8 10 11 11 10 7 6 9 12 12 11 9 8 9 10 11 11 9 8 5 3 2 4 8 9 8 7 7 7 8 8 10 13 16 17 17 15 13 11 10 9 8 7 6 5 5 6 7 7 6 5 5 7 9 10 10 9 6 4 2 0 0 1 1 0 -0 -0 1 2 2 2 4 8 11 11 10 9 9 9 9 8 8 9 10 10 9 9 9 10 11 11 10 8 6 5 6 7 8 8 7 6 4 2 1 2 4 5 6 7 8 9 11 12 11 11 10 10 10 9 9 9 10 11 12 13 13 12 11 10 8 7 7 8 8 8 8 9 9 9 9 9 9 nan
nan 15 14 11 10 10 12 14 17 19 20 20 18 14 9 5 2 2 4 5 6 6 7 8 8 9 10 12 13 14 14 12 11 11 11 10 7 4 4 5 8 11 13 13 12 10 9 9 10 13 15 16 14 11 9 9 11 11 10 8 7 7 9 12 13 13 12 10 7 5 5 8 9 8 7 6 7 7 9 11 14 16 17 17 15 13 11 10 10 9 7 7 7 8 11 12 11 8 6 8 9 10 10 9 9 8 6 4 3 2 2 2 2 4 6 8 8 8 7 7 7 8 8 7 6 7 9 10 10 10 11 12 12 11 9 7 6 5 4 3 3 3 3 4 7 9 11 11 9 6 3 1 2 2 2 2 1 1 1 3 4 7 9 11 11 11 10 9 10 10 12 13 13 13 13 12 11 10 9 8 8 8 8 8 8 8 8 8 9 9 nan
nan 16 14 10 9 10 11 14 17 19 18 16 15 13 10 7 4 4 5 5 5 5 6 7 8 9 10 11 13 14 14 13 12 11 10 8 4 1 1 3 6 9 12 13 13 11 10 9 11 14 17 19 19 16 12 10 10 10 10 8 6 6 7 9 12 13 14 13 11 8 7 8 9 8 7 6 7 8 10 12 13 14 15 16 15 14 12 11 10 9 9 10 12 14 16 15 13 12 12 14 15 13 12 10 10 11 9 8 7 7 6 5 6 7 10 13 14 14 13 13 12 11 9 7 6 6 8 9 10 10 11 11 11 11 9 7 5 3 2 1 1 2 3 4 7 11 13 14 12 8 4 2 1 0 -1 -2 -3 -5 -5 -4 -2 2 6 9 10 10 10 9 10 10 11 12 13 13 13 13 12 11 10 9 9 8 8 8 8 8 8 8 9 9 nan
nan 14 11 9 10 11 13 14 15 15 14 12 12 12 10 8 7 6 6 6 5 4 5 7 9 9 9 10 11 12 13 13 13 13 13 10 6 3 2 3 5 7 9 11 12 11 10 9 10 13 17 19 20 18 14 11 10 10 10 9 6 4 3 5 8 10 12 12 10 7 7 9 9 9 8 7 8 9 11 12 11 12 13 14 15 15 13 12 11 10 12 15 17 18 17 14 12 13 15 17 17 15 13 13 13 13 12 11 10 10 10 9 8 8 11 13 15 15 15 15 16 16 14 11 8 6 5 6 7 8 9 8 7 8 10 11 10 7 5 4 3 4 4 5 8 11 13 14 12 8 5 2 -0 -2 -4 -5 -6 -7 -6 -5 -2 0 3 5 6 8 8 9 9 10 10 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 nan
nan 10 9 9 10 12 14 15 15 14 11 9 10 11 10 7 5 4 5 5 5 5 5 7 9 9 9 9 10 11 12 12 13 13 13 12 9 8 7 7 7 8 8 9 11 11 11 10 11 12 15 17 17 16 14 12 11 10 9 8 5 2 1 2 5 8 10 10 8 5 6 9 10 10 9 8 9 10 11 10 10 11 13 14 15 15 14 12 12 13 16 19 19 16 12 7 6 10 12 14 14 13 12 13 14 15 14 12 11 11 11 11 9 9 10 11 13 12 12 13 15 17 16 12 9 6 4 4 5 6 7 6 4 5 9 12 14 13 10 7 5 5 6 6 8 10 12 12 9 7 6 4 1 -3 -5 -6 -6 -5 -3 -1 0 1 2 3 4 6 7 8 8 9 9 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 nan
nan 8 8 9 10 11 13 15 16 15 12 9 9 10 10 8 6 5 4 5 5 5 6 7 9 9 8 7 8 9 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 11 12 12 13 14 15 16 15 13 11 11 11 10 9 7 5 3 2 4 6 9 11 10 7 6 6 8 9 9 8 8 9 9 9 9 10 13 16 17 16 15 14 13 15 18 20 19 15 9 4 1 3 7 9 10 10 9 8 10 12 14 14 13 11 10 10 11 10 9 9 9 10 11 10 11 12 13 13 12 10 8 6 5 5 6 7 7 6 5 7 10 12 13 10 6 4 5 6 8 9 9 9 8 7 7 9 9 8 5 1 -1 -2 -0 1 2 3 3 3 3 4 5 5 6 6 8 9 10 10 10 10 10 11 12 12 13 12 12 12 11 11 11 11 11 11 11 nan
nan 7 7 7 7 8 10 13 15 15 13 10 9 8 8 8 7 7 6 6 6 6 6 7 8 8 6 5 6 8 8 7 7 7 8 10 12 12 12 12 12 11 10 9 8 9 12 14 15 16 16 17 15 11 10 10 10 9 8 7 6 5 5 7 9 11 12 11 9 7 7 8 8 8 9 9 9 9 8 8 10 13 16 18 17 15 14 15 18 20 20 15 8 2 -0 1 5 8 9 8 6 5 5 6 9 11 13 12 12 11 10 9 8 7 7 7 8 10 10 10 10 10 11 12 12 11 10 9 8 9 9 9 9 8 7 7 8 8 6 3 2 4 6 8 9 9 7 6 6 8 12 15 15 14 10 5 4 3 4 4 4 4 4 4 4 4 4 5 6 8 10 10 10 9 8 8 10 12 13 14 14 13 13 12 12 11 11 11 11 12 nan
nan 7 7 6 6 5 6 9 12 14 13 11 9 7 6 6 7 7 7 7 7 7 7 7 7 6 4 4 5 7 7 7 6 7 8 11 12 12 12 12 12 12 11 8 6 7 10 14 16 16 16 16 16 13 12 11 11 10 9 8 8 8 7 8 9 11 12 11 9 8 7 8 8 9 10 10 10 8 8 9 10 12 14 16 16 15 14 15 18 18 15 10 3 1 3 6 10 11 10 8 6 5 5 6 7 9 10 11 12 11 11 9 8 6 5 6 7 9 11 11 11 10 11 12 13 14 13 12 11 11 12 12 11 10 9 8 6 5 4 1 0 2 5 7 9 8 5 4 5 7 9 12 13 12 10 7 4 3 3 3 3 3 3 3 4 5 6 7 8 10 10 10 9 8 8 9 12 13 15 15 16 16 14 13 12 11 11 11 11 11 nan
nan 6 6 6 5 4 5 6 8 10 11 10 8 6 4 4 5 7 7 8 8 9 9 9 9 7 5 3 4 5 7 7 8 8 9 11 11 10 10 11 11 11 11 9 6 6 9 14 17 16 14 14 14 14 14 14 14 13 12 11 11 10 8 7 8 10 11 11 9 7 7 8 9 10 11 11 9 8 7 9 10 11 12 14 14 15 15 15 15 14 10 7 4 4 7 10 12 12 12 11 9 8 8 7 7 8 9 10 11 11 11 10 10 9 8 7 8 9 11 12 12 10 10 11 13 14 14 13 12 12 13 13 13 13 11 10 8 6 5 3 1 2 3 5 5 5 3 2 2 2 2 3 3 4 3 2 1 1 1 2 2 3 4 5 6 7 8 9 11 11 12 12 11 11 12 13 14 15 15 16 18 17 15 13 12 11 10 10 11 11 nan
nan 5 5 6 6 6 6 6 6 7 8 7 6 4 3 3 5 7 8 8 9 11 12 13 12 10 8 6 7 7 7 8 9 10 10 10 9 8 8 9 10 11 12 11 8 8 10 14 17 17 13 10 9 12 13 14 15 15 15 15 15 13 10 8 8 8 9 9 9 7 8 9 10 11 11 9 8 6 6 7 9 10 11 11 13 14 14 13 13 11 10 9 8 8 8 9 12 13 14 13 12 11 10 10 9 8 9 9 9 9 9 10 10 11 11 11 11 11 12 13 12 10 9 9 11 12 13 12 11 11 11 12 14 14 14 12 10 8 7 6 5 4 4 3 3 2 1 -0 -1 -3 -5 -4 -4 -3 -2 -1 -0 1 2 3 4 5 6 8 9 10 11 12 13 13 14 14 14 15 16 16 16 14 14 15 16 14 13 11 10 9 8 9 11 12 nan
nan 5 5 5 7 9 10 10 8 6 5 4 4 3 3 4 7 9 9 10 10 12 13 14 14 13 12 11 11 11 11 10 11 11 11 11 10 9 8 7 9 11 13 12 10 9 11 14 17 17 13 9 8 9 12 13 14 14 15 15 15 14 12 10 8 7 6 6 6 7 9 10 11 11 11 9 6 5 5 6 7 8 9 9 9 9 10 10 10 10 11 12 11 8 6 7 11 13 15 14 14 12 12 11 11 9 9 9 8 8 9 9 10 11 11 12 12 12 13 13 11 10 8 8 9 10 10 9 8 7 8 9 12 14 15 14 11 9 8 8 8 7 6 5 3 2 1 0 -1 -2 -3 -4 -3 -2 -1 1 2 3 4 6 7 8 9 11 12 13 14 14 15 15 15 15 16 16 16 15 14 12 11 11 11 10 9 8 7 6 6 9 13 13 nan
nan 6 6 6 8 10 13 13 10 7 4 4 4 5 6 8 10 11 11 11 12 13 13 14 14 14 13 13 14 14 14 13 12 13 12 13 14 12 10 8 8 11 13 13 11 9 9 11 12 14 13 10 10 11 12 13 13 14 14 14 13 11 11 10 9 8 5 4 5 7 9 10 11 11 10 9 7 6 6 7 8 9 8 7 4 2 3 4 7 9 12 13 11 7 4 5 9 13 15 15 13 12 12 12 11 10 9 9 8 8 8 8 9 10 10 11 12 13 13 13 12 10 9 8 7 7 8 7 7 6 6 7 9 10 12 12 11 10 9 8 9 9 9 8 6 4 3 3 2 2 2 2 2 3 3 4 6 7 8 10 10 11 12 13 14 16 16 16 16 14 14 15 16 15 13 12 10 9 9 8 8 7 6 5 4 4 7 11 14 14 nan
nan 7 7 7 8 11 13 14 12 9 7 6 7 9 10 11 12 12 12 13 14 14 13 13 12 11 11 11 12 13 13 13 13 13 13 14 15 15 11 8 7 10 13 13 12 10 8 7 7 8 10 10 10 11 12 13 14 13 13 11 9 8 8 9 9 8 6 5 6 8 10 11 10 10 9 8 6 6 6 7 9 9 8 5 1 -2 -1 1 5 9 12 14 12 7 4 5 9 12 14 14 12 11 10 10 11 10 9 9 8 7 7 7 8 8 9 10 11 13 13 13 12 10 9 8 7 6 6 7 8 8 8 7 8 8 8 9 9 8 8 8 8 9 10 9 8 6 6 6 6 6 6 6 6 6 6 7 9 11 13 14 14 15 15 16 17 17 17 15 13 12 12 13 13 11 9 8 7 8 8 7 7 6 6 6 6 7 11 14 15 14 nan
nan 6 6 6 8 10 13 14 13 11 9 9 9 10 11 12 13 12 13 14 15 14 13 11 9 8 7 6 7 9 10 12 13 13 13 14 15 15 12 9 7 8 10 11 12 12 10 7 5 6 7 7 7 9 12 13 14 12 11 9 7 6 7 8 9 9 7 6 8 10 11 11 10 10 9 7 5 4 5 6 8 8 8 6 4 2 1 2 5 9 13 15 13 9 6 6 9 12 14 14 12 10 10 10 10 10 9 8 7 6 6 7 8 8 8 9 10 12 12 12 12 11 9 8 7 6 7 7 8 9 9 9 9 9 8 7 8 8 7 7 7 8 9 10 9 8 8 8 8 8 9 8 8 8 9 10 12 14 16 17 17 17 17 17 17 16 13 11 9 9 10 9 8 7 7 7 8 9 9 8 7 7 7 9 10 13 14 16 15 14 nan
nan 4 4 5 6 9 12 13 14 13 11 10 10 10 12 13 13 13 13 14 14 14 12 11 9 6 4 3 4 7 10 12 13 13 14 15 15 14 11 8 7 6 6 7 9 11 11 9 8 8 7 5 3 6 10 13 13 12 9 8 7 6 8 10 11 10 9 8 10 11 11 11 11 11 10 9 6 4 4 5 7 8 8 8 9 9 7 6 6 8 11 13 12 9 7 7 9 11 14 14 14 13 12 11 10 10 9 7 6 5 5 6 7 8 8 8 9 10 10 11 11 10 9 8 7 7 7 7 8 8 9 9 10 9 9 8 8 9 8 8 8 9 10 11 10 9 9 9 9 10 9 9 8 9 11 13 15 17 17 17 16 16 15 14 12 11 8 7 6 7 7 6 6 7 8 9 10 10 9 9 8 9 10 12 14 15 15 15 13 12 nan
nan 3 3 4 5 7 9 11 12 12 11 10 11 11 12 12 13 13 13 13 13 12 11 10 8 6 3 3 4 7 10 12 13 15 16 17 15 12 10 8 7 6 4 4 4 7 9 10 11 11 10 6 5 7 11 14 14 13 11 9 8 8 9 11 13 12 11 10 10 10 11 12 13 13 13 11 10 7 6 7 8 9 9 10 12 12 11 8 6 5 7 8 9 8 7 7 8 10 12 14 15 15 14 12 10 9 9 9 8 6 5 5 5 6 7 8 8 8 9 9 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 11 10 9 8 8 8 9 8 8 8 10 12 14 15 15 14 12 11 10 9 8 7 6 6 6 7 7 7 7 8 9 10 11 10 10 10 10 10 12 13 15 16 15 14 12 11 10 nan
nan 6 6 5 6 7 7 8 9 9 9 10 11 12 12 12 12 12 12 13 13 11 9 8 6 5 4 4 5 6 8 9 11 14 15 15 13 11 10 9 9 9 7 5 3 3 5 7 9 11 10 8 8 10 13 15 16 15 13 11 10 9 10 11 11 12 11 10 9 10 12 15 17 17 15 13 12 11 11 11 12 11 11 12 15 14 12 9 6 4 4 5 6 7 7 7 8 8 9 12 14 14 13 11 9 8 8 9 10 9 6 5 4 5 6 7 7 7 8 9 9 9 8 8 9 10 11 12 12 13 12 11 10 9 8 9 10 11 11 12 13 14 13 11 9 8 8 8 8 8 8 9 10 11 12 11 10 8 7 6 6 5 5 5 6 6 7 8 8 9 9 9 9 10 11 11 11 11 12 13 14 15 15 16 15 13 12 11 10 9 nan
nan 12 11 11 10 9 9 8 8 7 8 9 11 11 12 11 11 11 11 12 12 10 7 5 5 5 5 5 6 6 6 6 8 11 12 12 10 8 9 10 12 13 12 9 6 4 3 4 5 7 8 9 10 13 15 17 17 16 13 12 10 9 9 8 9 10 10 10 11 12 15 18 19 19 16 14 13 14 15 16 16 14 14 15 17 16 13 10 7 6 5 5 5 6 7 8 8 8 8 10 13 13 11 9 7 5 6 7 9 9 7 6 6 6 6 6 7 7 8 8 8 8 8 10 13 15 17 19 19 19 17 15 13 10 9 8 9 10 11 12 13 14 13 12 10 10 10 10 9 8 9 9 10 10 8 5 3 2 2 2 3 4 4 6 7 8 9 9 9 9 9 9 10 11 12 13 14 14 15 16 16 15 15 14 13 11 10 9 9 9 nan
nan 14 15 15 15 14 12 10 9 8 8 9 10 11 12 12 12 12 12 12 10 8 5 3 4 5 6 7 7 7 7 7 8 10 11 9 8 7 8 10 13 15 15 14 12 9 7 4 3 4 6 9 11 14 16 18 18 15 13 11 9 7 6 6 7 9 11 12 13 15 18 20 20 19 17 15 15 15 16 17 17 16 16 17 18 16 14 12 11 10 9 7 6 6 7 8 8 8 9 11 12 12 10 8 6 5 5 6 7 8 9 9 10 9 8 7 8 9 9 8 7 6 7 11 15 19 22 24 25 24 22 19 15 12 10 9 9 9 9 10 11 12 12 12 12 13 12 11 9 7 6 5 5 4 2 0 -0 0 1 2 3 4 6 8 9 10 10 10 10 9 9 10 11 13 15 16 17 17 17 17 15 14 12 11 11 10 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
87 99 107 107 104 105 117 133 138 125 100 79 69 67 75 86 90 95 109 132 153 156 135 105 91 84 81 81 82 84 86 81 76 80 90 99 103 99 90 80 81 87 82 78 79 81 80 85 100 98 80 57 45 51 71 93 109 115 108 92 87 104 124 142 157 156 90 33 10 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 1 2 23 71 162 261 319 338 307 193 97 76 77 78 80 79 70 58 38 13 6 3 7 5 1 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 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 1 1 1 2 2 3 3 2 2 2 3 7 25 82
81 91 102 108 106 105 115 132 144 131 107 88 78 79 83 90 91 95 108 129 148 154 138 108 95 88 85 84 90 100 104 97 86 90 105 120 126 120 107 97 95 95 88 83 82 81 79 85 101 108 91 58 37 48 78 107 124 128 115 94 94 119 145 185 200 157 64 15 4 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 1 7 13 38 96 207 334 384 340 252 158 83 71 80 80 81 80 72 58 45 21 9 2 6 15 14 8 3 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 10 17 20 32 59 107 197
77 81 93 104 107 109 118 136 159 149 123 103 92 88 88 91 96 100 109 125 141 148 137 114 100 90 87 90 106 126 134 123 102 95 106 126 140 140 132 127 125 120 107 100 92 83 80 87 103 113 100 66 38 45 83 118 134 132 123 115 120 148 192 261 234 140 53 15 6 5 4 4 3 2 1 0 0 0 0 0 0 0 0 2 8 19 30 43 93 190 330 371 304 206 130 76 60 75 74 70 73 68 52 36 21 8 2 9 17 19 13 6 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 37 82 111 138 182 245 331
82 76 82 95 105 114 127 146 165 167 152 129 113 102 97 101 108 110 111 121 136 146 137 118 102 92 92 99 122 147 156 144 120 104 107 121 137 147 149 152 150 145 133 122 108 98 92 91 101 112 104 73 48 57 94 128 140 140 146 161 165 200 294 317 217 116 54 27 19 15 11 6 3 2 1 0 0 0 0 0 0 0 0 10 24 34 42 53 94 176 318 341 269 190 127 74 59 63 62 60 62 58 45 27 14 5 2 23 30 21 12 5 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 17 84 194 273 298 321 375 448
89 79 78 85 97 112 132 153 169 177 171 151 134 118 110 112 117 117 114 117 129 139 135 119 104 100 104 108 121 141 149 140 120 105 105 114 124 136 140 145 147 147 142 131 118 119 113 95 97 109 106 82 58 60 94 128 141 158 188 224 263 317 378 315 170 102 75 66 56 39 23 10 3 1 0 0 0 0 1 3 4 7 8 25 44 55 57 68 111 182 309 329 253 176 116 74 59 54 47 45 47 39 27 14 5 2 5 19 28 19 10 5 3 3 2 2 1 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 3 23 116 271 396 424 428 471 537
96 86 80 80 88 104 130 154 171 181 180 166 148 134 126 122 125 123 117 114 118 127 133 122 107 107 112 108 100 104 113 111 98 89 90 98 106 115 122 131 138 146 144 133 125 124 119 94 92 101 100 81 58 56 83 118 137 161 213 319 381 392 370 266 154 118 110 99 75 47 25 10 2 0 0 0 0 1 5 9 13 32 41 49 67 79 78 83 112 172 277 322 251 170 106 73 59 48 38 35 30 15 7 2 1 1 5 9 13 14 9 6 4 2 2 1 1 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 4 25 139 326 480 517 518 550 603
102 93 85 82 85 97 120 152 172 186 187 178 161 146 139 133 132 129 121 111 107 117 132 126 107 108 121 110 89 78 78 81 77 72 74 79 87 93 96 99 112 138 145 136 127 124 117 99 90 91 91 76 56 51 72 104 131 158 231 355 404 373 302 213 157 135 117 86 54 30 14 5 1 0 0 0 0 2 12 17 24 53 74 67 94 106 101 97 115 157 214 251 225 158 96 68 53 40 30 26 18 3 0 0 0 2 7 14 15 10 9 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 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 3 27 163 365 523 577 587 611 649
105 98 90 86 86 93 111 143 176 186 187 186 172 156 145 138 131 130 126 113 105 112 125 125 107 101 122 120 104 89 80 79 79 76 75 79 82 84 84 83 95 123 144 135 124 121 117 104 89 84 85 71 54 50 65 92 122 156 223 353 371 322 247 181 132 95 66 34 19 10 4 1 0 0 0 0 0 1 15 23 27 44 74 87 110 120 115 109 125 145 153 164 176 133 72 54 45 38 30 19 13 15 6 2 1 6 9 6 2 4 7 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 27 192 387 539 611 634 653 679
107 101 94 90 87 89 103 134 172 191 189 184 179 165 151 139 130 127 129 121 109 109 118 119 106 94 107 118 111 110 108 103 97 93 91 93 94 94 93 91 97 115 138 133 117 117 116 105 89 82 84 75 57 49 60 85 115 149 204 289 315 278 204 142 87 38 10 7 7 4 1 0 0 0 0 0 0 0 9 21 34 42 72 107 104 111 119 119 125 121 113 120 134 109 54 47 45 42 33 22 16 18 13 7 3 5 10 12 10 9 10 8 5 4 2 1 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 1 38 208 407 556 637 669 687 704
104 101 98 95 91 88 96 121 155 178 181 178 181 165 154 145 135 128 127 127 119 115 116 113 105 93 89 95 96 112 126 129 125 120 119 117 113 106 103 106 111 121 132 132 111 117 116 103 87 80 81 80 68 56 60 85 111 140 182 237 278 253 179 104 49 18 12 17 13 3 0 0 0 0 0 0 0 0 3 14 35 41 81 112 103 102 121 121 120 107 88 94 107 94 58 51 53 52 43 37 34 33 28 19 10 4 5 11 19 21 16 9 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 9 69 244 440 583 664 699 718 731
101 100 100 98 95 91 93 108 136 164 176 176 174 160 154 146 138 130 125 126 128 125 121 115 109 100 91 89 91 100 124 141 154 161 159 151 138 121 108 115 122 129 140 138 117 113 113 97 81 76 78 79 75 69 68 87 107 126 168 217 243 227 169 79 35 15 19 23 13 2 0 0 0 0 2 5 6 5 10 20 43 52 71 89 93 100 115 110 115 118 86 85 97 92 72 67 73 71 60 52 57 59 51 34 19 10 12 23 33 32 23 12 4 2 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 1 2 6 39 133 296 476 612 689 728 746 751
100 100 100 99 96 93 92 98 121 151 168 173 167 154 141 136 132 129 125 123 126 129 127 123 117 108 102 102 97 93 110 134 161 173 170 163 153 138 121 116 115 126 145 147 130 115 102 92 79 75 79 82 80 74 72 83 99 113 161 213 244 231 164 72 34 19 22 19 9 1 0 0 0 2 15 41 45 42 48 63 82 103 127 141 137 124 114 109 123 133 89 91 104 108 101 97 98 89 76 64 75 80 69 49 29 20 22 28 30 28 23 14 6 2 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 1 3 22 94 224 380 527 640 707 745 759 755
101 102 101 100 97 94 92 96 110 136 155 165 163 151 138 134 127 127 125 119 116 121 127 129 126 118 107 102 95 88 95 112 130 136 140 146 148 143 131 117 104 110 136 147 140 125 110 95 82 77 82 91 91 82 73 73 82 103 160 210 255 244 175 92 46 28 28 18 5 0 0 0 0 4 29 87 101 89 79 79 83 104 145 199 222 195 155 143 156 150 96 107 126 138 137 131 122 109 95 78 91 91 77 57 42 36 36 33 27 20 17 13 8 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 0 1 2 50 167 324 475 589 667 717 743 751 751
103 104 102 100 98 95 94 95 102 116 132 146 156 156 144 128 119 118 121 120 112 109 115 123 128 128 122 116 104 92 87 88 93 109 130 140 142 139 131 118 106 109 132 144 141 134 122 105 91 82 85 96 98 88 71 59 66 103 158 165 232 235 187 122 70 42 30 16 4 0 0 0 0 1 6 38 61 62 53 39 27 31 57 138 237 251 213 184 171 148 119 134 157 177 181 169 146 125 114 99 103 96 79 60 49 47 45 35 24 19 15 12 9 7 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 2 69 225 402 539 628 684 722 730 732 733
105 104 102 100 100 97 96 96 97 101 111 121 136 141 137 128 117 110 114 122 121 112 107 109 116 122 125 126 119 108 94 83 84 105 131 140 137 133 124 116 117 128 145 153 146 138 133 124 110 96 92 100 103 90 67 48 63 112 154 152 223 216 187 143 95 57 34 16 4 0 0 0 0 0 2 8 17 17 16 9 2 0 7 55 174 260 260 224 184 160 154 165 181 202 224 205 164 133 124 122 115 100 82 64 52 48 44 32 18 16 19 13 9 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 1 64 239 428 559 635 685 719 720 718 716
106 105 102 101 103 100 98 98 98 96 96 99 106 116 125 129 123 117 117 123 129 125 112 104 105 110 115 120 120 118 107 92 86 93 108 119 123 128 123 112 116 136 160 172 167 152 147 150 140 121 110 111 109 94 69 45 73 134 169 169 208 199 173 142 107 72 41 16 2 0 0 0 0 0 0 1 2 1 3 1 0 0 0 29 132 277 340 307 253 223 202 184 187 199 221 208 162 127 117 118 116 100 80 66 55 44 33 20 13 19 22 16 10 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 1 51 245 433 555 627 675 710 723 719 711
105 105 102 103 103 100 98 99 98 96 94 91 91 92 97 107 121 124 123 122 125 125 121 112 106 103 106 110 112 116 114 106 96 90 94 100 109 120 127 116 108 122 154 187 201 187 162 165 170 156 141 133 121 97 70 45 89 161 163 136 153 157 140 121 99 67 35 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29 137 322 455 414 357 336 291 247 225 197 176 173 142 121 124 128 116 95 76 65 53 39 25 14 9 14 22 14 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 1 6 65 258 429 540 609 660 698 717 717 711
105 104 101 101 101 99 97 97 96 96 95 93 92 90 90 96 103 111 113 113 114 116 118 118 113 108 105 105 107 109 112 114 110 106 101 100 104 112 120 116 104 104 130 181 228 234 202 179 192 186 174 162 140 106 72 53 104 174 145 116 114 108 97 85 73 45 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 47 178 383 538 502 412 398 365 322 250 171 130 131 138 134 138 130 110 87 71 59 46 31 24 27 30 30 27 17 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 1 11 114 271 407 509 583 636 674 699 709 709
103 101 98 97 95 94 92 91 92 93 93 92 94 93 92 91 91 93 97 96 97 100 106 112 115 114 111 108 104 103 106 111 112 112 110 107 108 111 114 113 107 107 113 154 223 268 253 217 206 200 188 181 163 125 85 72 106 153 119 115 104 80 59 47 38 19 5 1 0 0 0 1 2 4 2 1 1 2 3 3 2 2 25 80 215 419 580 581 479 438 397 330 225 139 107 122 175 186 160 122 93 75 62 50 38 25 16 22 27 26 21 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 1 17 143 264 372 472 554 610 649 681 703 706
92 89 87 84 83 83 83 83 85 87 88 89 89 91 91 89 86 86 88 87 89 92 99 105 108 108 111 113 111 107 109 112 113 116 119 118 118 119 118 114 115 123 126 129 191 279 308 275 231 204 186 192 183 139 97 82 96 118 114 147 112 67 38 25 15 5 0 0 0 2 5 9 12 18 10 5 5 8 10 10 10 16 49 109 231 422 585 629 563 493 409 298 194 127 111 144 195 190 143 102 75 61 50 37 25 17 12 13 15 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 34 160 253 342 435 517 579 623 658 688 702
79 79 77 74 73 74 74 74 76 78 81 83 83 83 84 84 83 84 85 87 90 94 99 106 108 107 106 109 109 111 125 134 135 135 136 134 132 133 132 131 133 143 150 134 165 291 363 338 270 213 189 204 210 160 115 90 87 103 136 174 104 55 28 16 9 3 0 0 6 18 28 28 27 29 19 10 6 10 19 26 32 47 82 144 258 417 542 589 565 498 378 252 150 109 113 147 173 153 110 78 57 42 30 18 12 13 14 13 4 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 38 150 243 318 394 466 526 572 612 647 671
75 75 75 73 72 72 71 71 72 74 76 78 80 80 79 78 80 82 85 89 93 96 100 106 111 114 114 110 104 108 138 167 174 166 157 151 146 147 155 157 154 166 176 170 188 308 388 371 301 235 209 223 239 194 137 108 100 121 164 183 93 45 21 10 5 2 1 5 26 55 55 44 33 28 23 12 6 12 36 50 59 73 99 158 276 405 467 500 497 431 305 195 107 91 100 123 131 114 83 60 44 27 17 13 11 10 6 0 0 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 1 1 21 93 192 278 339 387 436 482 521 555 585
75 75 77 76 75 75 75 74 75 76 76 77 79 79 78 82 88 89 88 91 95 99 101 103 109 117 121 121 117 119 141 183 205 194 173 161 156 157 167 171 170 191 211 222 247 308 349 362 318 270 252 263 270 233 166 172 149 172 207 188 92 38 16 6 2 0 5 22 55 87 72 51 37 39 36 20 9 12 47 60 66 75 101 167 280 378 390 419 420 358 256 169 118 103 103 107 103 87 65 46 34 22 13 14 8 2 0 0 1 7 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 1 6 33 98 186 238 258 284 318 357 396 428
77 80 82 82 81 79 78 78 77 77 75 76 78 79 83 92 98 100 99 101 102 103 105 108 113 123 134 144 148 148 155 176 196 187 171 162 160 165 174 185 193 214 246 274 305 335 344 359 340 313 307 319 318 272 195 177 168 204 200 140 64 28 13 4 1 0 14 48 89 108 84 54 40 51 50 28 10 12 41 59 69 85 126 201 287 341 332 374 378 328 241 162 118 106 100 99 94 78 55 34 22 16 14 7 2 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 27 72 116 121 118 122 146 195 261
81 83 85 84 83 80 78 77 76 74 74 75 77 77 77 81 90 101 109 118 125 128 132 135 137 140 150 169 183 194 192 183 177 172 167 163 167 176 187 198 213 243 275 315 345 358 361 369 373 356 348 362 362 313 233 188 206 225 153 80 34 18 11 4 0 3 29 82 124 126 93 63 42 48 53 36 15 15 41 71 97 117 150 217 288 322 315 365 375 325 234 154 112 98 88 79 73 59 39 21 13 13 10 1 0 0 0 1 4 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 0 0 0 0 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 14 39 53 45 35 34 41 51
85 85 85 85 86 87 87 85 83 82 83 83 83 84 83 82 88 95 106 123 140 156 167 179 188 189 188 200 218 248 255 240 220 206 195 183 186 194 201 208 228 266 300 355 380 392 392 397 404 393 376 394 398 342 260 230 256 220 103 47 21 10 5 2 2 15 56 109 140 130 100 76 53 53 70 50 27 29 55 91 126 148 165 206 264 304 327 374 393 328 235 166 122 91 66 46 33 22 11 6 7 7 1 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 0 0 0 0 0 0 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 7 23 35 35 27 18 12
89 91 92 94 95 98 102 103 101 101 101 101 101 104 108 111 114 117 122 134 149 168 194 236 266 275 273 272 284 313 330 316 294 274 256 237 227 222 220 227 243 271 313 372 401 419 419 426 430 417 401 419 437 373 300 302 291 188 72 34 14 5 1 3 19 57 115 157 155 130 100 77 65 72 94 58 41 48 70 97 122 143 165 195 239 288 337 380 388 315 227 159 108 69 40 20 8 3 1 1 4 3 0 0 0 1 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 34 41 38 25
97 103 105 106 105 109 114 119 122 125 127 129 132 135 142 152 164 170 176 187 193 204 231 280 324 338 348 357 367 383 391 385 367 349 333 311 286 263 252 261 266 274 305 353 390 416 426 442 446 432 425 448 480 426 348 394 330 182 70 28 6 1 0 18 62 124 182 201 168 123 86 77 78 81 86 52 40 51 82 112 124 122 131 171 215 270 322 365 371 309 223 137 83 52 31 15 4 0 0 0 0 0 0 0 2 9 30 25 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 3 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 27 40 42
105 111 114 117 118 122 127 133 139 145 152 163 171 174 179 189 202 219 231 254 265 269 280 307 338 353 363 384 402 417 425 433 436 421 408 388 356 321 301 304 305 292 298 329 367 394 416 445 451 441 447 482 514 473 365 462 362 199 84 33 8 1 0 34 100 170 207 188 137 97 71 81 78 65 54 41 34 58 112 166 177 144 118 151 207 274 313 346 357 315 224 124 70 48 34 20 7 0 0 0 0 0 0 1 5 14 25 23 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 10 17 11 9 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 1 4 9 17
108 113 118 124 129 137 142 149 157 166 175 187 196 204 213 224 231 238 250 267 270 273 292 319 336 342 342 358 380 400 419 439 455 450 453 457 436 397 368 360 360 327 316 334 363 394 425 447 447 446 465 511 547 513 423 526 383 210 102 43 11 1 1 29 97 166 189 157 103 73 67 86 72 48 34 35 46 71 140 224 241 177 116 127 182 253 287 305 325 293 205 113 60 49 47 40 30 22 18 16 12 6 3 4 7 10 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 16 21 15 14 9 3 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 1
114 120 126 133 139 146 152 162 169 176 184 192 198 203 220 227 233 233 229 221 199 200 230 263 284 295 310 325 346 365 384 407 425 435 451 476 480 462 442 431 417 382 357 360 383 405 420 423 430 446 475 515 537 514 482 493 344 182 90 35 7 0 2 16 89 182 199 135 72 62 75 93 92 69 50 47 63 99 170 273 306 234 174 163 177 208 259 272 284 238 157 89 61 73 87 93 91 78 66 66 65 26 8 3 8 13 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 10 11 9 13 11 7 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
125 132 136 144 150 155 162 174 181 183 180 179 181 182 187 194 200 195 194 186 164 154 169 192 215 239 264 288 309 326 344 367 392 411 426 439 455 471 482 486 472 438 401 378 410 402 385 391 415 445 473 507 530 505 444 366 241 125 50 15 3 0 0 16 81 175 172 89 56 71 89 115 144 115 77 56 66 119 210 312 355 311 281 244 211 210 249 270 271 223 172 142 129 113 96 87 75 66 47 22 2 0 1 2 15 21 18 11 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 8 6 4 3 2 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
132 138 144 153 157 161 168 175 177 170 158 150 148 148 150 153 151 148 157 160 162 170 178 186 203 227 248 260 270 285 308 336 368 393 402 402 407 431 461 483 491 481 452 423 450 421 404 403 423 452 477 502 514 461 348 224 132 77 22 4 1 0 0 12 45 81 66 49 80 90 120 171 193 152 86 54 53 110 219 327 369 350 331 247 214 224 241 265 276 241 211 195 192 183 148 64 16 7 3 1 0 0 0 1 11 14 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 6 3 2 2 2 1 4 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
135 141 148 155 160 163 168 167 157 143 129 118 113 112 113 116 120 126 145 153 168 187 205 220 235 256 271 273 275 279 293 324 348 376 388 383 379 390 422 466 511 517 501 475 459 445 445 436 452 473 485 486 472 377 223 103 68 52 12 1 0 0 0 5 16 27 31 60 84 102 168 218 203 134 60 34 38 89 197 319 385 375 325 203 173 193 228 260 266 236 193 186 235 275 216 71 1 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 2 6 2 2 1 1 1 0 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
134 142 149 154 158 160 159 150 137 125 114 104 98 99 105 117 129 143 167 185 205 222 234 249 271 296 314 315 312 309 316 333 336 363 382 373 363 378 425 491 538 533 522 513 490 475 479 487 503 500 474 435 380 273 128 46 38 28 6 1 0 0 0 4 18 41 61 71 60 137 197 212 172 100 40 11 13 45 135 270 368 357 253 141 152 223 269 285 281 264 242 246 262 232 148 48 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 1 3 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
134 143 151 156 155 149 139 127 118 113 107 103 103 110 117 127 148 179 212 237 257 262 264 288 324 358 378 362 335 341 353 353 345 363 379 359 353 387 445 488 486 499 525 568 561 536 527 515 487 454 416 372 322 252 143 44 20 8 1 0 0 0 0 11 45 84 96 91 107 156 181 180 151 97 44 15 5 13 66 176 268 248 136 101 202 278 305 307 301 287 259 215 169 130 70 19 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 1 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
139 149 152 152 144 132 116 102 94 95 98 102 111 123 131 138 167 204 234 252 269 284 291 330 375 395 379 344 320 352 385 380 370 374 372 352 366 416 465 487 490 516 565 542 491 464 449 410 348 300 282 273 272 256 184 74 19 5 1 0 0 0 2 17 62 109 113 116 144 180 168 165 153 107 53 18 5 4 21 73 126 104 82 169 308 346 323 284 254 235 209 166 117 66 23 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 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 0 0 0
145 151 148 138 125 111 99 89 88 94 96 106 122 141 159 181 210 230 238 245 257 277 304 348 382 377 343 309 305 343 399 395 388 386 384 382 407 454 471 470 493 524 513 338 243 225 222 199 156 120 107 112 140 174 151 82 32 8 3 1 1 1 5 22 65 116 139 177 215 230 197 168 141 96 50 17 3 0 3 15 29 27 100 238 355 369 293 216 167 140 118 85 38 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 1 2 3 3 2 2 1 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
147 148 140 124 110 97 88 82 81 88 99 116 141 168 192 210 226 246 244 241 248 269 293 316 330 308 277 272 290 329 376 385 391 397 412 431 452 469 445 383 361 376 306 123 51 38 38 43 40 27 16 14 37 78 68 58 44 13 4 2 2 1 9 35 85 152 215 290 306 272 213 151 109 73 39 14 2 0 0 1 3 13 120 243 320 301 197 115 79 58 40 22 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 1 1 1 0 0 0 0 0 1 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
144 142 132 117 101 88 84 78 78 89 110 131 155 180 198 212 224 234 234 236 240 242 240 234 223 198 186 223 268 308 333 345 378 400 450 485 486 461 419 356 291 232 129 30 7 3 3 7 11 12 11 13 23 47 32 42 34 11 4 1 1 0 14 63 150 254 342 363 364 278 181 116 85 64 39 17 4 0 0 0 3 12 83 122 132 115 72 35 20 13 8 7 4 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 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
139 131 118 103 91 84 82 77 83 102 122 142 167 198 217 219 221 213 204 207 207 180 157 138 121 110 125 183 230 261 247 249 319 389 436 476 484 458 416 367 277 149 59 15 5 5 4 8 12 12 11 13 19 26 15 21 15 9 7 5 2 1 36 123 237 328 358 316 300 219 151 110 89 72 50 26 11 2 0 0 1 5 22 18 13 13 11 7 5 5 5 6 4 2 6 12 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
129 116 101 88 81 79 80 80 85 105 128 152 180 212 239 238 207 183 170 158 128 91 75 67 68 93 143 188 202 242 155 114 181 289 300 341 394 412 382 298 171 76 34 15 10 8 4 3 4 5 7 11 13 14 17 14 14 25 35 33 23 27 94 195 259 267 236 198 177 190 187 161 122 81 46 22 10 2 0 0 0 0 1 0 0 0 1 1 2 3 4 4 5 16 26 22 6 2 1 1 1 1 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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