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 9 11 11 9 7 6 5 6 7 9 10 11 12 13 13 12 9 6 6 10 14 15 15 12 10 6 2 0 0 0 -0 -0 1 2 4 6 6 6 9 12 15 18 18 16 12 10 12 13 11 6 2 3 5 7 8 8 8 6 4 3 3 2 2 4 9 12 13 12 11 13 15 13 10 7 7 9 9 8 8 10 10 10 8 8 9 11 12 12 13 14 15 15 14 13 11 8 6 9 12 13 12 9 7 6 7 8 9 8 6 4 5 7 11 13 11 9 9 11 14 16 16 15 11 5 1 2 6 9 10 9 9 8 8 9 11 13 12 10 7 5 4 4 3 2 -1 -2 0 3 4 6 8 9 9 8 6 8 10 11 10 7 3 1 2 5 8 10 10 10 10 9 9 9 10 10 10 10 10 12 13 13 12 11 10 9 9 9 9 9 8 nan
nan 11 11 9 7 5 4 4 5 6 9 10 11 12 12 11 10 9 7 7 9 12 14 14 11 8 4 1 0 2 3 3 4 5 7 9 9 8 8 10 14 16 17 16 14 11 11 13 14 10 6 2 2 5 8 9 9 7 5 3 3 2 2 3 7 13 16 14 11 10 13 16 15 13 10 10 11 10 7 7 10 12 10 7 5 5 8 11 14 16 17 17 15 12 10 10 10 10 10 12 13 12 10 7 6 7 8 9 7 4 3 4 8 12 16 16 12 9 9 10 13 15 14 9 4 2 8 15 17 13 8 3 -0 -1 1 6 12 15 15 11 7 3 0 -1 -2 -1 1 3 5 6 7 9 11 12 11 10 9 8 8 7 5 1 -2 -1 2 5 7 8 9 9 9 9 9 10 9 9 9 10 11 12 12 11 10 9 9 8 9 8 8 8 nan
nan 9 9 7 5 4 3 3 4 6 8 10 12 11 10 8 7 7 8 8 9 11 13 12 10 6 3 1 2 5 6 6 6 7 9 10 10 9 9 12 14 14 13 10 9 10 12 15 15 11 6 3 3 6 9 10 9 6 3 2 1 1 2 4 9 15 18 15 11 10 12 15 15 12 10 9 9 7 5 6 10 13 12 8 4 3 5 9 13 16 18 19 17 14 13 14 14 13 10 9 10 10 8 5 4 6 10 10 8 6 5 6 11 16 20 20 15 8 5 4 6 10 13 13 11 11 16 23 22 15 7 1 -2 -3 -2 2 6 10 11 10 7 4 2 1 1 4 7 9 9 8 7 7 9 11 12 12 11 10 9 8 6 3 0 -0 1 3 5 7 8 8 8 9 9 9 8 8 9 10 10 11 10 10 9 9 9 9 8 8 8 8 nan
nan 8 7 5 4 3 3 4 4 6 8 11 12 11 8 5 4 6 9 11 12 12 12 11 8 5 4 3 5 8 9 8 6 6 6 8 8 8 11 15 15 13 9 7 6 7 10 11 12 11 8 5 5 6 8 10 8 5 2 -0 -2 -1 1 5 10 14 16 13 10 10 11 14 13 10 7 6 6 4 3 4 7 11 12 10 6 4 4 7 10 14 18 19 19 17 15 15 14 12 11 9 9 8 6 4 3 6 11 12 10 8 7 9 14 18 21 21 15 8 3 -0 1 4 11 16 18 18 19 20 18 14 10 7 6 4 3 3 5 6 7 7 6 7 8 9 9 10 11 11 9 7 5 4 7 9 12 14 14 14 13 11 10 8 5 3 3 4 5 6 7 7 8 8 9 9 8 9 9 10 11 11 10 10 10 10 10 10 9 8 8 8 nan
nan 7 6 4 2 2 3 4 5 7 8 11 12 11 8 5 5 8 13 15 15 13 11 9 7 6 6 6 6 8 10 10 8 6 5 6 7 9 13 17 17 14 10 7 5 4 5 6 9 11 11 9 8 8 8 9 8 4 1 -1 -2 -1 2 6 10 13 12 10 8 8 10 11 11 8 5 4 4 2 -1 -0 3 8 12 13 9 5 4 6 8 12 16 18 19 17 14 12 10 10 10 10 10 8 6 4 4 5 7 8 8 8 9 11 15 18 19 18 14 9 3 -0 -1 1 8 15 19 18 15 12 10 10 11 13 14 13 12 10 9 8 7 7 9 11 12 13 13 12 10 8 6 4 3 4 7 10 12 14 16 16 14 14 13 12 9 6 5 5 6 6 6 7 7 8 9 9 10 10 11 11 12 12 11 11 11 11 11 11 10 9 8 8 nan
nan 6 5 4 2 2 3 5 6 8 9 11 12 12 10 8 9 12 16 17 16 14 10 8 7 6 6 4 4 6 9 11 11 9 8 8 9 11 15 19 18 14 10 7 4 1 2 5 9 12 14 12 10 9 9 9 7 5 3 3 2 3 4 6 10 11 11 10 8 7 8 9 9 8 6 4 1 -2 -5 -4 1 7 12 14 10 5 3 4 6 10 13 17 18 18 15 12 10 9 10 11 11 11 10 8 5 3 1 3 5 8 11 12 14 15 15 13 12 9 6 2 -0 1 4 10 14 14 11 7 4 5 10 14 16 17 17 16 13 11 10 11 12 13 12 11 11 10 7 5 4 3 4 5 8 10 12 14 15 15 15 15 15 13 10 8 7 6 6 7 7 7 8 8 9 10 11 12 13 13 13 13 12 12 12 12 12 12 11 9 8 8 nan
nan 7 5 5 4 3 3 5 8 10 11 12 13 14 13 12 11 13 15 17 16 14 11 8 6 5 4 2 2 4 7 9 10 10 10 11 13 15 17 18 16 13 9 6 3 1 2 7 11 12 13 12 10 9 8 7 7 7 7 7 7 6 6 7 9 11 12 11 9 8 7 8 9 8 6 3 -0 -3 -4 -1 4 9 13 14 10 4 1 2 5 8 12 16 18 18 17 15 12 10 10 11 12 13 13 11 7 1 -2 1 7 12 14 14 13 12 10 10 10 10 9 5 2 1 2 5 7 9 7 5 2 2 6 10 13 15 17 17 14 11 10 10 11 11 11 10 10 10 8 6 5 5 5 6 7 9 11 14 15 16 17 18 17 14 11 8 7 7 7 7 8 8 9 9 9 10 11 12 13 13 13 13 12 12 12 12 12 12 11 11 9 9 nan
nan 7 5 5 6 5 5 7 10 11 13 15 15 15 15 14 13 13 13 14 14 14 12 9 7 5 4 4 3 4 6 7 8 8 10 12 15 17 18 17 15 12 9 6 4 3 4 8 11 11 10 9 7 6 5 6 7 8 9 10 9 8 7 8 10 11 12 12 11 9 8 8 8 8 6 3 1 1 3 6 10 14 16 15 11 5 1 1 4 8 11 14 16 17 15 14 13 11 10 10 11 13 14 12 6 2 1 6 14 19 18 15 12 10 9 8 10 11 11 9 6 4 3 3 4 5 6 5 4 3 3 4 7 10 12 13 11 8 6 5 6 8 10 12 12 12 10 8 7 7 6 5 5 7 10 13 16 17 17 18 17 14 12 9 8 7 6 7 8 9 9 10 10 10 10 10 11 12 12 12 11 11 11 11 12 12 12 11 10 9 nan
nan 6 5 6 8 9 9 10 11 12 14 16 16 16 16 15 14 14 13 12 11 11 11 10 8 7 6 6 6 5 6 7 7 7 8 10 13 16 18 19 17 14 11 9 8 9 11 12 13 11 9 6 5 3 4 6 8 9 9 10 10 9 9 10 10 10 10 10 10 9 8 7 7 7 6 5 5 6 8 10 12 14 16 15 13 9 5 3 5 8 11 13 14 13 12 11 12 12 10 8 8 10 11 10 6 5 6 11 17 21 18 14 11 10 8 8 10 11 12 12 10 8 6 6 5 5 6 6 6 5 4 2 3 5 6 7 6 4 1 1 3 6 10 12 13 12 10 9 8 8 7 6 5 7 9 12 14 14 14 15 15 14 13 10 8 6 6 7 8 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 10 nan
nan 4 5 8 9 10 10 10 11 13 15 17 17 16 15 15 14 13 12 11 9 8 9 10 10 10 10 9 7 7 7 9 9 8 7 8 11 14 18 20 20 18 15 12 12 14 17 17 16 13 10 8 7 6 6 8 9 8 8 7 9 10 11 11 9 8 8 8 8 8 8 7 7 7 7 8 9 9 8 7 7 7 9 11 13 12 9 6 6 8 10 11 11 10 9 9 10 11 9 6 5 6 7 9 8 7 7 9 12 13 12 9 8 8 6 6 7 9 11 12 11 10 10 10 9 8 8 9 10 9 7 5 4 3 3 3 2 1 0 2 4 6 8 10 11 11 11 10 10 10 10 9 8 8 8 10 11 12 13 14 15 15 13 10 7 6 6 7 8 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 nan
nan 4 5 7 8 8 8 9 11 14 16 18 17 15 13 12 11 10 10 10 9 8 8 9 10 11 10 9 7 7 8 10 11 10 8 7 9 13 16 20 21 19 16 12 11 13 17 18 17 15 13 12 11 11 11 10 9 7 6 6 8 11 12 10 8 7 7 7 7 7 8 8 8 7 8 9 10 10 8 3 -0 -2 -1 3 9 12 12 9 7 8 10 10 10 8 7 7 8 9 9 6 5 7 9 11 11 9 6 5 5 6 5 3 3 2 1 1 4 7 11 12 11 11 13 13 13 12 12 13 14 13 11 9 7 6 5 4 4 3 3 5 7 7 7 8 9 11 12 13 14 14 13 12 10 8 7 8 11 13 14 15 14 13 11 8 6 5 6 6 7 8 9 10 10 10 10 9 10 10 10 11 10 10 10 10 10 10 10 11 11 11 nan
nan 5 3 4 4 4 6 9 12 15 17 17 16 13 10 7 7 7 9 10 10 9 8 8 8 8 8 8 7 8 9 11 12 10 8 6 8 11 15 18 19 18 15 11 9 10 14 16 17 16 14 13 13 13 13 12 10 8 6 7 9 11 12 9 7 6 7 7 7 7 8 8 8 8 8 9 10 10 9 4 -0 -3 -4 -1 5 10 13 13 11 11 12 12 10 8 6 6 8 9 9 8 7 10 12 13 12 10 8 6 6 5 3 1 0 -0 -0 1 3 8 12 13 14 14 14 14 15 15 15 16 15 14 13 12 10 9 8 8 7 6 5 6 8 9 10 10 10 10 12 14 15 14 13 11 9 8 7 8 11 12 13 12 11 10 8 7 6 6 6 7 7 8 10 10 11 10 10 9 10 10 11 11 11 10 10 10 10 10 11 11 12 12 nan
nan 5 2 2 3 4 7 10 12 15 16 16 15 12 8 5 4 6 9 11 11 9 8 6 6 7 9 11 13 12 11 11 10 9 8 7 8 10 13 15 17 16 14 11 10 12 14 15 14 13 13 13 12 12 12 12 11 10 9 10 11 12 11 9 7 6 7 8 8 8 7 7 8 10 9 8 8 8 9 7 4 2 1 2 6 10 13 15 15 14 14 14 11 9 6 6 8 10 12 12 10 11 12 12 12 10 10 9 10 10 10 9 8 7 7 7 9 11 14 15 16 16 14 12 11 11 12 13 13 14 14 13 12 10 10 9 9 7 7 8 11 13 14 14 12 9 9 10 11 11 9 8 7 6 8 10 13 13 12 11 10 10 8 7 6 6 7 7 9 10 11 11 11 10 10 9 10 10 11 11 11 11 10 9 9 9 10 11 12 12 nan
nan 5 5 6 8 9 10 11 13 14 15 14 13 10 6 4 4 7 10 11 10 8 7 7 8 10 13 17 18 16 13 10 8 8 8 9 11 11 12 12 12 13 12 12 12 14 14 12 11 11 11 12 12 11 10 10 10 10 10 10 11 11 10 9 7 6 7 8 9 9 8 8 9 10 10 9 8 8 8 9 8 7 7 7 8 10 13 15 16 15 14 12 10 8 6 5 7 11 16 18 15 13 12 11 10 9 9 9 12 16 19 19 19 18 17 16 15 13 12 13 15 15 14 11 7 4 3 4 8 13 15 14 12 10 9 9 8 9 10 13 15 16 16 14 12 8 6 6 6 6 5 3 3 4 8 12 14 15 15 14 13 12 10 8 7 7 8 9 10 11 13 13 13 11 10 10 10 10 10 11 11 11 10 9 8 8 9 10 12 12 nan
nan 6 9 12 13 13 13 12 12 13 13 12 10 8 5 4 4 7 9 10 8 7 7 9 12 15 17 17 18 17 14 10 7 6 8 10 12 12 11 9 9 9 10 11 12 13 12 10 8 9 11 12 12 11 9 9 9 10 10 10 10 10 9 7 5 5 5 6 8 9 10 11 10 10 10 9 9 8 9 10 11 11 10 10 10 10 12 14 14 13 10 9 7 5 4 3 4 8 14 18 17 14 13 11 9 7 6 7 12 17 19 20 21 21 20 17 13 8 3 4 8 12 14 14 9 4 0 1 5 11 14 14 13 11 10 9 10 13 16 19 18 16 14 12 9 5 3 2 2 2 0 -0 0 2 7 11 13 14 15 16 15 14 12 10 9 8 9 10 11 12 13 14 14 13 12 11 10 10 10 11 11 11 10 9 8 8 9 10 11 12 nan
nan 6 9 13 14 14 12 12 12 14 13 11 9 7 6 5 4 6 7 7 6 6 8 10 13 15 15 13 14 16 15 12 8 7 8 10 11 10 9 8 7 8 8 9 10 11 11 9 8 8 9 11 12 12 12 13 13 12 11 10 9 9 8 6 5 5 4 4 5 6 9 11 10 9 9 9 9 9 9 10 12 12 12 11 11 10 11 12 12 10 7 6 5 4 3 2 3 3 6 10 11 12 12 10 7 4 2 3 8 10 11 11 13 14 13 11 7 3 -3 -5 -0 6 13 16 14 9 5 5 7 10 12 13 13 12 11 12 13 15 17 18 16 14 11 8 6 4 4 4 4 2 -0 -2 -1 2 6 8 9 10 11 12 13 14 13 12 11 10 10 10 11 12 13 14 15 15 14 13 12 11 10 10 11 11 10 9 8 8 9 10 11 11 nan
nan 6 8 11 12 12 11 12 13 14 13 12 10 8 7 6 5 6 8 8 6 5 6 9 11 12 11 11 12 14 15 13 11 9 8 9 9 8 7 6 6 8 9 9 9 8 8 8 8 7 7 8 10 12 16 19 19 16 13 10 8 8 9 9 8 6 5 5 5 7 10 11 10 8 7 7 8 8 8 10 11 12 12 12 11 11 11 11 11 8 6 5 4 4 4 4 3 2 1 2 5 7 9 7 4 1 0 2 4 3 2 2 3 5 6 6 6 4 -1 -5 -4 2 9 14 14 11 9 8 9 9 10 11 12 12 13 13 13 14 13 12 10 9 7 5 5 6 7 9 9 7 3 -0 -0 3 5 6 5 5 5 6 8 11 12 12 12 11 11 11 11 12 13 14 15 16 16 15 13 12 11 11 11 11 10 9 9 8 9 10 10 10 nan
nan 8 10 11 12 11 11 12 14 17 18 17 15 13 11 9 7 7 9 8 6 5 5 7 8 9 9 9 10 12 13 13 12 11 11 10 9 7 6 5 5 7 10 11 10 7 6 6 6 7 7 8 10 13 17 19 20 17 13 10 8 8 9 9 9 9 8 8 9 10 12 12 10 8 7 7 7 7 8 9 11 12 12 12 11 11 11 11 10 9 6 5 5 6 7 7 6 3 2 3 5 7 8 6 3 1 1 2 3 1 -1 -1 0 3 4 6 7 7 5 2 1 4 7 10 11 9 8 8 9 9 9 9 10 12 13 12 11 9 8 6 5 4 3 3 5 7 9 12 13 11 6 2 2 4 5 4 1 -1 -1 1 3 6 8 10 10 10 10 10 11 12 13 14 15 16 16 16 14 13 12 12 12 11 11 10 9 8 8 9 10 10 nan
nan 9 12 13 12 12 11 12 15 20 23 22 19 17 16 14 12 10 9 8 7 6 5 6 7 7 7 7 8 9 10 10 11 11 12 12 11 9 7 6 5 6 10 13 12 9 6 5 6 7 8 10 13 15 15 15 15 14 13 11 8 7 6 6 7 9 10 11 12 13 12 11 10 9 9 9 9 9 10 11 12 12 12 12 12 11 11 10 10 9 8 7 8 10 11 11 9 7 7 9 11 12 11 9 5 3 2 2 4 5 4 4 4 5 7 8 8 8 8 7 7 7 7 8 8 8 7 7 8 10 11 10 10 11 11 11 8 6 4 3 2 2 1 2 4 7 8 9 11 8 5 3 4 4 4 2 -2 -5 -5 -3 -0 3 5 7 8 9 9 9 9 10 11 12 13 14 15 15 15 13 12 12 12 12 11 11 10 10 9 9 9 10 nan
nan 7 8 11 12 12 11 10 12 17 20 19 17 16 17 18 18 15 12 10 8 7 6 6 5 5 5 6 6 7 8 8 8 9 9 10 11 11 11 9 8 8 9 13 15 13 9 7 7 8 10 13 16 16 13 11 9 10 11 11 8 6 4 3 5 8 10 13 15 15 14 12 10 9 10 10 11 11 11 12 12 12 11 11 12 11 10 8 8 9 10 12 13 15 15 14 12 11 12 13 15 14 13 11 8 6 5 5 7 10 12 11 10 9 9 10 8 7 7 8 8 8 7 8 9 9 8 8 9 11 12 12 10 10 11 11 9 6 5 4 4 3 3 4 6 7 7 6 5 3 3 3 5 4 2 -0 -3 -6 -6 -5 -2 1 3 5 6 7 8 8 8 8 9 10 11 12 13 14 14 13 12 12 12 12 12 11 11 11 11 11 10 10 nan
nan 5 5 8 12 12 11 9 7 9 11 10 9 10 12 17 20 20 17 14 11 9 7 5 4 3 3 5 6 7 7 7 7 6 6 7 9 11 12 11 9 8 9 12 15 16 13 10 9 11 14 16 17 15 12 8 7 8 10 10 9 6 5 4 5 8 10 14 17 19 18 15 11 9 9 10 11 11 11 11 11 10 10 10 11 11 9 8 7 10 13 16 17 17 16 14 11 10 10 11 12 12 11 10 10 10 11 10 10 10 12 13 12 11 11 11 10 9 9 9 8 7 7 8 9 10 10 9 10 11 12 12 10 10 11 12 11 9 7 5 4 3 4 5 7 8 8 5 2 2 4 6 7 6 4 1 -2 -4 -4 -3 -1 1 3 4 6 7 7 8 8 8 8 8 8 9 11 12 12 12 11 11 10 11 11 11 11 12 13 13 12 11 nan
nan 7 5 7 10 11 10 8 6 4 4 4 4 6 9 14 18 20 19 17 14 11 8 6 4 3 3 5 7 8 7 7 6 6 6 6 7 8 9 9 9 8 8 10 15 17 15 13 12 13 16 18 18 15 12 10 9 10 11 11 9 6 6 7 7 8 10 12 16 19 19 16 13 10 8 8 9 9 9 9 8 8 8 9 11 11 11 10 10 13 16 18 18 17 14 12 10 9 8 7 7 7 7 7 9 12 14 14 12 11 12 14 15 13 11 12 12 11 11 10 8 6 6 7 9 10 10 10 10 11 11 11 10 10 11 12 13 11 8 5 2 2 4 6 9 10 9 6 3 3 6 9 11 12 10 6 2 0 0 1 2 3 4 5 6 7 7 8 8 8 8 7 8 8 9 11 11 11 11 10 9 9 10 11 11 12 13 14 13 13 nan
nan 10 7 5 6 7 7 6 5 3 2 2 3 5 8 12 15 16 16 15 14 13 10 7 6 5 5 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 11 15 17 16 14 12 13 15 18 18 16 13 11 11 11 11 10 9 7 7 8 9 9 10 11 13 14 14 13 11 10 9 8 8 8 8 8 9 10 11 12 14 14 14 13 13 15 16 17 16 14 12 12 11 10 8 6 5 4 4 4 7 11 14 14 13 13 15 17 16 13 11 11 11 10 10 9 8 7 6 7 7 8 9 9 9 9 10 10 10 11 12 13 13 12 8 4 2 3 6 10 12 12 9 6 4 5 7 11 15 17 16 11 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 11 12 12 12 11 10 10 11 11 12 13 14 14 14 nan
nan 9 7 4 2 3 5 5 4 3 2 3 3 4 7 10 12 13 13 12 12 13 12 10 9 9 9 9 8 8 7 7 8 9 9 9 8 7 7 7 7 8 10 13 17 18 17 14 11 10 11 13 15 14 12 11 10 9 9 9 8 7 7 9 10 10 11 11 10 9 8 8 10 11 11 11 10 9 9 10 12 14 17 18 17 16 15 14 14 14 14 13 12 11 12 13 13 12 9 6 4 3 3 4 7 10 11 12 12 13 13 14 13 13 11 10 9 9 9 9 9 8 7 7 7 7 7 6 7 7 8 9 10 12 13 13 12 11 9 5 3 6 11 15 15 12 7 4 5 7 8 12 15 17 16 12 9 9 9 10 10 11 11 10 10 8 8 8 8 8 8 8 8 8 9 11 12 13 14 14 13 12 11 11 12 12 13 14 14 13 nan
nan 8 7 7 7 8 8 7 5 4 4 5 4 4 6 8 10 11 10 9 10 11 12 12 12 12 12 11 10 9 8 8 8 9 9 9 9 8 8 8 9 11 13 15 18 19 18 14 10 7 5 7 9 10 9 8 7 7 7 7 7 7 8 9 9 10 10 9 8 7 7 7 9 11 12 12 11 10 10 12 15 18 19 19 17 15 14 13 12 12 11 11 10 10 11 13 14 13 11 8 6 4 4 6 9 10 10 10 10 11 11 11 11 10 10 9 9 8 9 9 9 9 9 9 8 7 7 6 6 6 7 8 9 11 11 11 11 9 8 6 6 9 12 15 14 10 5 3 4 7 9 11 13 13 12 9 8 9 10 11 11 12 12 12 11 10 9 9 8 8 8 8 8 9 10 12 13 15 15 15 13 12 11 11 11 12 13 12 11 10 nan
nan 7 7 11 15 16 15 12 10 8 8 7 6 5 5 6 7 8 8 7 8 10 11 12 11 11 11 11 10 9 8 8 8 8 8 8 8 9 9 10 11 13 14 15 17 19 19 16 11 6 2 1 3 5 6 6 6 6 7 8 8 9 10 9 9 8 8 7 6 6 7 8 9 11 12 11 11 10 10 12 14 16 16 15 12 11 11 11 11 11 11 10 10 9 11 14 15 15 14 11 9 7 6 8 10 11 11 10 10 10 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 7 7 8 9 10 8 7 6 6 6 7 9 10 10 8 5 4 4 6 7 9 9 8 6 5 5 7 8 9 10 11 11 12 12 12 11 11 10 9 9 9 9 10 11 12 13 15 14 13 11 9 9 9 10 11 11 11 9 9 nan
nan 8 7 10 15 18 18 17 15 13 13 10 9 7 6 5 6 7 8 8 9 10 11 11 10 9 9 9 9 8 8 7 7 7 6 7 8 9 10 11 12 13 13 12 13 16 17 17 14 9 3 0 1 3 4 5 6 8 10 12 13 13 12 11 9 7 6 6 5 6 7 8 10 11 11 11 10 10 9 10 11 12 11 10 9 8 8 9 10 11 12 11 10 9 10 13 15 16 16 14 12 10 9 10 11 12 12 12 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 6 6 6 6 6 7 7 7 6 6 6 6 7 7 6 5 3 1 2 3 5 6 7 8 9 10 11 13 13 13 12 11 10 9 9 10 10 10 10 11 11 11 10 9 8 7 7 7 8 10 10 9 9 nan
nan 8 5 6 10 15 18 19 18 16 15 12 11 10 8 6 7 9 11 10 10 10 11 10 9 7 7 8 8 8 7 6 6 6 5 6 8 9 10 11 11 12 11 9 9 11 14 15 14 11 6 2 2 4 5 6 8 10 13 15 15 14 13 11 9 7 6 6 6 6 7 8 10 12 12 11 10 10 9 9 9 9 8 7 6 6 6 6 8 10 11 12 10 9 9 12 14 16 16 14 12 10 10 11 12 13 13 12 11 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 5 6 7 8 9 8 6 4 1 1 2 3 4 6 8 9 9 10 11 13 14 14 13 12 10 9 9 8 8 7 7 7 7 7 8 8 8 7 7 7 8 9 10 10 9 nan
nan 6 3 3 8 13 17 18 17 15 12 11 11 10 9 8 8 10 11 10 9 10 11 11 11 10 8 7 7 7 7 7 6 5 5 6 7 8 10 11 11 11 9 7 7 8 11 13 13 11 7 4 4 5 7 8 9 11 13 15 15 13 11 9 8 6 6 7 7 7 7 8 11 14 15 13 10 9 9 9 8 8 7 6 5 4 3 3 5 7 10 12 11 9 9 11 13 15 15 14 11 9 9 11 12 13 12 11 10 8 8 9 10 10 9 8 8 8 9 9 8 7 6 5 5 6 7 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 5 4 5 6 8 9 8 7 5 4 3 4 5 6 8 10 12 12 12 12 13 14 14 13 11 9 7 7 6 5 5 5 5 6 8 8 9 9 9 9 9 9 9 10 10 9 nan
nan 4 3 4 6 10 12 13 12 11 9 8 8 8 8 8 9 10 10 9 8 9 11 13 14 13 10 8 8 7 7 7 7 6 6 6 6 8 9 11 11 10 9 7 7 8 10 11 11 9 6 5 5 7 8 10 11 12 13 14 13 11 9 8 7 7 7 8 9 8 7 7 11 15 16 13 9 8 8 8 8 8 7 6 5 3 3 3 4 6 9 11 12 10 10 11 13 15 15 14 11 10 10 11 12 12 10 8 6 5 6 8 9 10 9 7 7 8 9 8 7 5 4 4 4 6 8 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 6 4 4 4 5 6 8 8 7 6 6 6 6 8 9 12 15 16 17 16 15 14 13 13 11 9 7 5 5 4 5 5 6 7 9 10 10 10 10 11 11 11 11 10 10 9 9 nan
nan 5 5 5 5 5 6 7 7 8 7 6 6 7 8 9 9 9 8 8 8 9 11 13 14 13 10 9 8 8 8 8 7 7 6 6 7 8 9 11 11 10 8 7 7 7 8 9 8 7 6 5 6 8 10 12 13 14 14 15 13 11 9 8 7 7 8 9 10 8 6 7 10 15 15 11 6 5 6 8 8 8 7 6 6 5 5 5 6 6 7 8 9 9 10 11 13 15 15 14 12 11 12 12 12 11 8 5 3 3 5 7 9 10 9 8 7 9 9 9 7 6 4 4 5 7 9 11 11 11 10 9 9 8 7 7 7 8 8 8 8 8 8 7 6 5 4 5 6 7 7 6 6 7 8 9 11 14 17 20 21 20 19 16 14 12 11 9 7 6 5 4 5 6 8 9 10 11 11 11 11 11 12 12 11 11 10 10 9 9 nan
nan 11 10 8 6 4 4 5 5 6 7 7 7 8 10 10 10 9 8 8 9 9 10 10 11 9 7 7 8 9 9 8 7 7 6 7 8 9 10 11 11 9 8 7 6 6 6 6 6 5 5 6 7 9 12 14 15 16 16 16 15 12 10 8 8 8 8 8 8 7 6 6 9 12 11 6 2 2 5 8 9 8 6 4 5 7 7 7 7 6 5 5 5 6 8 10 12 14 14 12 10 11 13 13 12 10 7 4 2 2 4 7 9 10 9 8 7 8 10 11 10 9 7 6 6 8 10 11 11 12 12 12 11 9 7 7 8 8 9 10 10 10 10 9 8 7 6 6 6 7 6 6 6 8 10 13 16 19 21 21 21 19 17 15 12 11 10 9 8 6 6 7 8 9 10 11 12 12 11 11 11 11 12 12 11 10 10 9 9 9 nan
nan 14 14 13 11 9 7 6 6 6 7 8 9 10 11 11 11 11 11 10 9 9 8 7 6 5 4 5 7 8 8 7 6 5 5 6 9 11 13 13 11 8 6 6 5 5 5 4 4 4 5 6 8 10 12 14 16 16 16 15 15 14 12 11 10 9 8 6 5 5 5 6 7 8 7 3 1 2 5 9 10 7 4 2 4 6 7 7 6 5 5 5 5 6 7 9 10 11 11 10 10 11 13 13 11 8 6 4 2 2 3 6 9 10 9 7 5 6 10 13 13 12 9 7 8 10 11 12 13 14 16 16 15 13 11 10 10 10 10 10 11 12 12 11 10 9 8 7 7 7 7 7 7 8 10 12 15 17 18 18 17 15 13 11 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 11 12 12 11 10 10 10 10 10 nan
nan 13 15 16 16 15 13 10 7 5 6 8 9 10 10 11 12 12 12 10 9 7 6 5 4 3 3 4 6 7 7 6 4 3 3 5 8 12 14 14 11 9 6 5 5 5 4 4 5 5 5 6 7 9 11 13 13 13 12 12 13 14 14 14 12 9 7 5 4 5 5 7 7 7 6 4 4 4 6 8 8 6 3 2 4 5 5 4 2 3 5 7 8 8 8 8 9 10 9 10 11 12 12 11 9 7 5 4 2 2 4 7 10 12 10 7 5 6 9 12 13 11 8 7 10 14 16 18 20 20 20 19 18 16 14 14 13 12 11 10 10 11 11 11 10 10 9 9 8 7 7 8 9 10 9 9 10 11 13 13 11 9 8 7 7 8 9 9 10 10 10 10 10 11 11 11 10 11 11 12 12 11 11 11 11 11 10 10 11 11 nan
nan 11 14 17 18 18 16 12 7 4 5 7 9 9 9 10 11 11 11 9 8 7 6 5 5 4 4 5 6 8 8 8 6 4 3 4 6 10 13 13 11 9 8 8 7 6 6 6 6 5 5 5 6 7 9 10 10 9 7 7 9 11 13 13 11 9 7 6 6 6 8 9 10 10 9 9 8 7 7 6 6 5 4 5 6 6 4 3 2 2 4 6 8 9 9 9 9 10 11 12 13 13 12 10 8 7 6 4 3 4 6 9 12 13 11 8 6 6 7 9 9 8 7 8 12 17 22 25 26 26 24 22 19 17 15 15 14 13 11 9 9 10 11 11 11 11 10 9 8 7 5 6 7 9 9 10 10 11 10 9 8 6 5 4 4 5 6 7 8 9 9 10 10 11 11 11 10 10 10 12 13 13 12 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
103 107 112 116 116 111 106 103 98 92 86 82 85 89 98 105 108 108 105 100 97 94 89 94 110 147 200 257 302 322 293 238 190 163 159 160 146 115 83 70 65 50 48 45 39 40 45 45 63 78 94 103 104 107 114 121 120 112 95 78 66 54 52 59 65 63 38 17 15 15 15 12 7 3 2 1 1 2 7 11 10 5 2 2 5 5 5 9 16 24 54 102 134 127 105 87 75 74 71 53 27 10 1 0 0 0 0 0 0 0 0 0 0 2 15 30 34 28 15 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 1 2 4 10 37 97 166 223 279 358 400 453 511 484 283 86 79 71 49 38 16 5 3 2 1 20 79 153 209
94 96 96 95 96 100 104 109 108 105 97 96 101 107 113 120 120 114 109 105 99 98 104 109 114 123 154 206 270 318 324 295 253 220 197 181 161 130 101 89 77 64 68 58 50 42 49 66 82 88 98 109 109 104 106 110 107 96 81 65 62 53 57 65 70 60 26 6 3 3 3 3 3 2 2 1 4 14 28 38 37 27 19 15 14 13 14 16 22 22 49 92 118 115 101 82 67 69 80 70 41 16 4 0 0 0 0 0 0 0 0 0 0 1 11 26 29 24 16 9 4 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 1 6 5 9 14 8 11 44 102 147 158 230 242 399 501 476 332 219 231 257 250 221 120 52 35 26 16 46 133 225 255
101 97 88 83 83 90 97 102 103 104 102 106 112 118 126 131 125 117 116 116 109 106 116 131 138 122 128 161 221 279 318 328 313 280 241 207 178 144 116 100 89 87 100 66 53 38 53 77 86 83 80 84 87 89 93 96 92 82 70 61 63 61 65 68 65 44 11 1 0 0 1 1 1 1 1 1 6 23 51 56 60 64 55 41 32 26 26 28 32 27 47 79 99 99 91 79 67 63 73 71 49 24 8 0 0 0 0 0 0 0 0 0 0 1 10 24 28 24 20 14 5 0 0 0 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 2 8 8 18 28 8 0 5 22 42 76 190 67 292 461 455 384 344 376 452 497 486 408 321 248 177 119 109 165 251 301
118 111 99 97 100 103 106 106 106 115 121 128 132 131 130 129 127 119 117 116 108 113 134 157 163 146 127 147 194 244 300 341 362 352 301 238 195 155 130 113 102 103 105 67 48 39 58 69 77 78 73 74 73 65 64 69 69 67 63 59 61 68 65 66 44 20 4 0 0 0 0 0 0 0 0 1 7 25 50 51 55 74 78 69 55 43 40 40 40 35 50 73 85 85 82 79 70 62 66 63 44 25 13 5 1 0 0 0 0 0 0 0 1 3 10 24 33 30 27 17 6 0 0 0 1 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 2 20 41 10 0 0 1 9 34 69 19 163 354 400 375 359 406 501 590 651 660 605 535 437 330 252 242 297 362
129 124 118 118 118 118 121 122 125 141 166 182 190 190 189 177 158 137 124 118 110 121 152 179 190 176 155 166 193 231 289 341 394 416 374 292 219 168 141 127 117 118 105 67 42 40 59 67 77 82 80 76 71 61 54 54 56 59 59 61 68 69 62 59 22 5 1 0 0 0 0 0 0 0 0 1 5 18 33 37 44 63 74 77 70 60 54 54 52 46 54 61 59 61 69 76 74 66 65 59 40 24 18 11 4 0 0 0 0 0 0 1 3 6 14 25 33 35 34 20 5 0 1 2 2 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 2 17 46 17 2 1 11 27 34 25 14 84 218 282 283 283 340 459 602 727 802 780 699 603 499 410 364 376 426
135 128 124 124 124 123 130 132 141 167 190 206 233 257 278 266 224 180 150 136 131 135 158 179 201 199 193 197 208 240 289 341 409 465 449 362 259 189 160 151 148 148 118 75 49 47 59 83 96 94 88 81 73 68 70 72 76 79 77 76 73 68 60 44 10 1 0 0 0 0 0 0 0 0 0 0 2 9 19 29 37 43 51 65 71 66 63 64 61 57 64 59 45 45 55 67 73 71 65 56 35 22 18 12 5 1 0 0 0 0 1 2 4 8 16 25 31 35 38 21 5 1 5 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 54 73 19 5 31 33 15 6 7 39 121 166 171 188 258 394 573 739 845 877 794 710 617 511 441 424 445
134 124 119 121 124 125 131 139 153 167 174 185 216 269 326 355 307 245 197 173 164 161 166 173 193 203 216 222 234 261 296 338 410 492 497 417 309 229 193 179 181 174 134 92 70 68 76 90 104 108 100 90 89 97 104 104 104 101 89 86 73 64 48 22 4 0 0 0 0 0 0 0 0 0 0 0 3 18 36 48 51 48 48 56 67 62 62 64 65 64 64 56 41 42 49 60 69 70 61 46 28 17 14 11 5 1 0 0 0 1 2 3 4 8 17 23 29 37 39 20 5 2 12 15 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 35 93 208 82 24 20 14 4 1 2 13 56 92 108 142 213 337 520 720 855 906 864 789 700 591 515 476 462
115 107 102 104 109 114 121 132 140 144 147 144 158 210 300 375 368 306 249 220 208 198 187 183 191 210 232 239 254 277 301 333 398 503 524 448 355 282 230 198 193 186 152 114 99 92 92 100 109 116 117 110 116 130 135 131 124 113 99 93 73 64 33 7 1 0 0 0 0 0 0 0 0 0 0 1 13 69 98 104 99 88 77 71 74 62 58 62 65 65 60 52 45 48 59 63 66 65 52 32 19 16 15 12 5 1 0 0 0 2 4 4 5 12 27 31 36 47 44 18 4 3 15 20 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 18 62 127 210 84 20 5 2 1 0 1 5 23 56 91 131 203 304 458 663 839 896 899 852 772 684 611 552 520
90 85 83 85 89 94 98 105 113 113 121 117 108 133 224 338 384 347 282 247 239 228 211 201 209 234 264 265 266 291 311 341 407 503 541 470 388 324 260 220 210 197 165 135 126 114 110 112 116 121 124 122 133 152 163 164 153 134 115 101 80 58 21 3 0 0 0 0 0 0 0 0 0 0 1 8 39 132 143 137 136 134 126 110 96 79 65 63 61 55 47 43 47 57 72 70 70 68 51 29 16 13 15 15 6 1 0 0 1 3 5 6 6 18 43 51 59 66 52 15 3 5 13 18 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 18 63 104 86 24 3 0 0 0 0 0 2 10 32 73 142 226 329 446 606 775 857 882 901 841 768 702 646 614
78 73 74 78 82 84 86 91 102 114 128 134 119 115 178 286 361 359 305 257 247 239 215 204 217 251 287 302 286 312 325 358 433 519 548 487 407 353 285 242 225 203 172 157 153 137 132 127 120 119 120 120 124 141 157 168 159 137 113 88 64 26 7 1 0 0 0 0 0 0 0 0 0 0 4 21 56 103 105 103 113 130 144 145 137 119 93 74 65 52 38 35 44 62 76 76 80 78 60 40 24 18 19 17 9 4 2 2 3 5 6 6 8 20 55 82 98 97 62 16 2 3 8 13 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 37 62 41 11 0 0 0 0 0 0 1 4 19 67 193 281 385 483 598 729 824 866 923 902 841 794 764 747
77 76 81 87 89 95 107 123 146 174 196 197 177 146 155 245 339 358 311 257 237 234 213 204 215 247 295 323 312 330 328 373 464 540 546 487 420 372 307 262 234 205 180 172 170 152 140 133 124 120 119 119 121 130 141 145 133 106 75 38 10 4 1 0 0 0 0 0 0 0 0 0 0 0 2 11 26 39 47 55 62 77 101 130 151 153 134 106 89 72 46 36 44 63 77 80 87 85 64 42 32 28 26 22 17 11 8 10 14 16 14 10 11 20 46 92 114 111 66 18 2 1 4 7 10 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 11 22 17 5 0 0 0 0 0 0 0 2 14 70 254 344 434 522 615 706 773 810 880 914 881 856 836 828
80 85 96 107 117 132 155 184 221 256 274 271 239 195 182 237 343 363 307 244 219 220 217 218 229 252 302 329 327 330 326 387 483 543 539 488 427 370 305 274 242 212 189 176 169 154 141 133 128 125 124 123 121 121 121 115 103 80 52 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 17 36 49 53 54 61 86 120 146 152 138 116 87 53 41 48 64 77 83 87 80 59 37 32 29 27 24 21 16 13 17 20 19 16 14 14 19 33 62 81 95 60 21 3 0 1 3 10 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 81 298 392 467 545 629 686 710 739 815 883 873 850 818 814
80 92 109 125 144 164 187 217 255 290 312 324 286 230 200 221 335 355 292 230 205 214 233 247 255 260 305 324 324 318 332 405 496 538 523 476 416 355 307 283 254 234 212 187 173 162 149 136 132 130 131 130 127 123 115 100 83 67 30 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 39 68 87 93 87 74 71 82 98 113 123 119 95 60 51 54 66 78 83 81 71 51 30 25 28 27 25 22 20 18 18 19 17 18 19 24 31 35 39 55 79 51 19 4 0 0 1 6 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 23 123 342 434 483 551 629 687 716 741 792 848 844 807 760 753
82 98 116 131 143 152 161 177 201 229 255 289 282 240 210 233 302 314 263 220 203 214 245 272 281 279 314 326 324 318 345 414 483 511 487 446 398 345 308 291 275 263 237 207 191 175 159 147 141 138 139 136 133 128 118 102 83 59 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 33 77 108 125 134 132 121 94 64 43 43 60 76 76 64 58 59 67 77 77 72 62 45 32 27 29 27 27 27 26 22 21 21 21 21 25 44 60 57 44 46 67 41 15 3 0 0 0 2 3 2 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 42 181 398 491 505 554 618 677 723 757 786 818 810 775 733 742
85 99 109 118 118 115 112 115 122 138 172 211 225 201 199 232 259 253 230 215 213 224 255 286 298 296 303 320 325 336 368 419 466 483 464 430 394 345 304 282 273 262 236 214 200 175 160 155 151 148 145 140 131 123 114 103 82 47 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 69 114 127 118 106 106 112 93 43 10 6 17 36 53 64 70 66 63 70 69 64 57 43 24 19 26 29 30 29 26 24 23 24 25 25 30 58 79 77 60 52 58 27 7 1 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 1 72 258 486 576 542 566 613 655 694 727 756 779 776 763 742 745
83 90 96 101 101 99 102 106 109 118 143 168 175 173 190 203 207 208 212 219 232 247 267 290 296 284 275 286 313 357 394 431 458 464 449 426 401 351 295 273 259 240 220 206 192 169 167 167 163 157 151 142 130 118 112 102 78 41 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 24 90 119 102 63 38 42 55 49 20 0 1 11 29 48 68 79 72 57 63 66 61 57 41 23 18 23 27 26 22 19 20 24 29 35 34 38 48 76 90 81 60 39 13 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 127 371 617 689 606 590 628 651 670 694 717 732 733 736 734 734
80 83 86 93 105 119 135 145 147 147 151 156 160 171 188 180 179 188 201 217 235 253 268 276 273 254 246 271 322 376 409 437 449 444 434 421 401 359 296 269 241 225 209 192 179 175 181 180 174 167 159 148 138 130 120 104 80 52 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 38 81 69 38 13 4 12 15 10 3 0 1 13 35 53 71 85 82 67 67 71 63 54 33 13 7 10 13 14 14 15 19 26 35 40 36 35 29 56 80 74 45 15 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 42 209 481 725 796 702 635 659 664 655 658 669 674 671 676 680 670
85 88 90 102 127 148 162 166 161 151 139 137 142 151 154 142 145 164 179 192 216 239 248 248 250 240 248 283 337 388 426 466 486 477 462 433 389 338 289 252 218 211 203 181 171 180 183 180 174 168 161 154 147 137 120 100 78 49 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 31 36 16 3 0 2 2 1 0 0 0 4 17 44 64 77 91 96 89 82 76 64 47 23 9 5 6 7 8 11 14 19 26 33 34 32 32 24 27 41 37 20 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 96 319 578 779 860 804 716 696 686 654 634 625 614 601 588 578 565
95 100 105 122 140 149 149 141 126 107 91 94 116 132 126 115 124 142 165 185 218 246 253 252 263 275 292 327 370 420 472 534 583 577 532 461 381 313 264 230 201 200 200 166 163 171 174 174 171 166 161 158 150 137 120 99 69 17 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 4 4 1 0 0 0 0 0 0 0 2 9 26 53 78 83 100 109 106 93 75 58 30 10 3 2 4 6 7 11 16 21 28 32 34 36 35 21 9 10 8 4 1 0 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 128 413 653 801 878 875 784 709 685 648 619 597 576 551 523 499 481
101 107 112 120 123 122 117 103 88 75 72 84 117 132 121 119 127 141 169 200 234 258 273 292 317 347 378 397 440 484 526 586 637 626 564 458 367 303 255 219 195 197 200 150 150 154 160 164 163 162 159 158 154 145 133 110 63 0 0 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 7 13 24 45 73 96 98 114 124 116 94 67 44 17 2 1 2 3 3 5 10 17 25 30 27 28 34 32 17 6 5 5 3 1 0 0 2 6 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 1 10 126 470 695 789 852 891 824 729 681 644 609 583 563 538 504 471 450
101 104 103 99 92 92 90 79 76 81 88 100 120 125 115 108 122 149 184 219 251 286 316 347 383 423 462 500 555 562 567 601 617 593 523 425 348 292 235 205 190 190 188 153 148 144 145 146 148 152 155 161 162 153 144 110 53 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 6 18 36 61 85 102 112 111 127 131 122 92 56 28 8 0 1 2 1 1 3 7 13 18 24 15 17 24 25 18 10 7 6 2 0 0 2 6 10 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 3 18 122 515 710 749 795 857 838 759 699 654 608 577 566 555 524 479 462
95 91 85 76 71 71 69 64 79 96 100 99 95 88 90 105 125 158 199 241 280 313 339 355 371 388 403 419 453 469 484 507 479 421 365 332 313 263 195 195 176 170 173 163 154 138 132 132 138 149 162 176 181 168 147 95 49 17 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 43 94 133 143 129 114 125 122 117 80 41 15 3 0 0 0 0 0 1 5 9 10 11 10 15 23 25 22 16 10 6 2 0 0 2 6 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 1 6 30 134 560 719 717 731 785 805 771 726 686 640 606 598 596 565 506 480
88 82 73 65 62 61 58 60 78 92 85 74 67 69 81 103 125 159 191 221 249 274 288 285 259 220 179 169 199 233 262 288 250 203 193 233 269 240 170 184 158 156 163 168 164 154 146 145 151 166 185 201 204 182 140 76 58 39 14 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 21 80 159 191 159 115 105 111 113 75 35 12 3 1 0 1 0 1 2 4 6 9 14 22 28 32 28 23 19 16 10 3 0 2 7 5 2 0 0 0 0 0 0 0 0 0 1 2 6 9 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 1 2 15 63 199 593 733 713 692 717 752 756 734 708 679 651 641 633 598 543 519
88 83 73 64 59 59 58 63 73 71 58 52 53 63 79 98 118 135 156 186 207 216 216 200 160 106 82 61 73 98 130 163 166 128 106 169 227 211 156 155 143 150 167 182 186 183 182 186 192 207 219 221 207 171 107 24 37 44 20 2 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 7 38 142 224 202 144 113 114 122 89 41 16 6 3 1 2 3 4 7 6 6 13 24 34 41 42 28 21 22 24 19 10 3 3 4 1 0 0 0 0 0 0 2 2 2 2 4 11 24 34 41 21 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 20 91 255 569 723 714 675 672 697 715 712 695 681 661 651 643 617 577 555
93 90 82 74 65 62 60 65 67 58 47 48 57 63 68 80 93 102 118 144 180 191 187 170 139 108 97 64 54 60 89 151 215 191 122 160 194 175 146 138 135 149 176 198 208 213 220 229 241 254 255 237 200 143 69 2 8 19 7 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 2 19 86 226 236 179 135 129 131 104 49 14 3 1 1 4 8 11 10 7 9 18 30 39 40 38 25 22 30 37 36 27 18 13 0 0 0 0 0 0 0 2 10 15 13 9 9 20 39 59 80 58 26 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 1 3 27 100 246 479 651 680 651 635 645 664 671 661 648 633 626 623 610 591 575
99 96 92 84 70 59 60 59 53 47 46 51 57 63 66 69 79 91 107 128 162 191 195 180 153 125 106 83 63 55 75 140 195 198 157 171 183 166 157 145 137 150 179 207 224 238 252 268 284 293 288 248 176 88 26 0 0 0 0 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 7 49 194 249 213 159 146 151 123 60 10 1 1 3 7 10 8 3 8 16 29 41 50 52 38 22 24 40 54 62 56 46 40 0 0 0 0 0 0 1 7 19 29 22 10 10 26 47 70 97 92 62 22 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 1 4 29 95 213 380 543 611 608 595 600 614 619 611 598 585 580 578 572 564 552
103 95 91 82 67 57 56 48 42 43 47 50 51 53 64 72 81 91 104 129 162 194 199 186 169 152 140 132 118 106 126 168 174 157 154 172 182 176 177 158 148 160 185 215 241 260 280 302 321 327 304 235 122 28 3 0 0 0 1 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 38 149 256 260 215 196 190 156 86 22 1 2 10 18 15 7 3 10 21 40 59 55 38 23 19 26 43 65 80 69 44 19 0 0 0 0 0 1 5 13 21 18 7 10 20 37 53 72 99 103 83 31 6 0 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 2 2 5 31 88 180 305 440 527 544 541 541 547 551 546 535 525 518 511 505 501 495
94 84 83 81 66 58 53 43 39 41 47 47 42 39 46 64 77 84 94 125 156 166 154 151 162 165 169 175 180 184 194 199 180 178 191 199 193 180 173 157 164 177 197 225 256 282 302 326 348 349 304 205 80 6 0 0 0 0 2 5 5 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 19 24 12 4 1 0 35 130 249 292 266 242 227 192 124 52 11 1 4 8 10 8 7 13 22 42 67 57 31 15 19 38 61 76 63 36 12 0 0 0 0 0 0 2 8 15 17 10 1 9 30 49 61 76 95 99 82 29 5 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 6 6 11 33 77 144 238 349 444 480 483 479 474 468 462 453 446 438 425 413 407 407
82 81 82 90 66 59 50 41 38 41 44 44 40 39 47 59 67 69 80 119 138 127 114 117 137 151 164 174 184 190 188 186 193 214 230 231 213 186 168 164 178 191 211 241 275 304 322 350 373 363 301 191 71 0 0 0 0 0 2 8 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 44 76 91 73 40 17 17 67 157 251 295 282 265 253 220 156 79 23 1 1 1 5 7 10 13 17 26 35 24 10 6 18 42 64 62 20 4 0 0 0 0 0 0 2 12 21 20 11 3 2 7 29 53 62 78 95 92 63 20 3 0 0 0 1 1 2 0 0 0 0 0 0 2 10 8 3 1 0 0 0 0 0 0 0 0 0 0 0 2 11 12 13 26 56 103 170 256 351 399 406 400 385 369 358 349 343 334 316 300 294 298
82 84 84 83 66 58 47 41 37 38 40 41 39 42 50 51 51 56 60 82 107 113 111 115 126 135 145 158 170 163 152 152 168 193 235 243 225 199 184 186 197 211 230 262 301 338 371 396 393 353 275 168 62 0 0 0 0 0 1 6 10 5 2 2 4 8 7 3 2 0 0 0 0 0 0 0 0 0 9 41 92 135 152 142 108 84 107 164 232 293 325 317 301 280 237 167 85 25 5 6 8 10 17 24 24 20 16 11 6 3 3 9 17 22 17 0 0 0 0 0 0 0 0 2 7 13 13 8 4 6 7 15 33 50 75 91 79 39 8 1 0 0 3 10 16 13 0 0 0 0 1 1 4 14 14 5 1 0 0 0 0 0 0 0 0 0 0 0 4 16 20 11 14 32 63 109 171 244 286 292 283 268 254 244 237 230 219 202 188 183 191
80 81 82 78 66 55 47 40 36 36 38 39 39 37 40 43 45 49 60 81 99 117 123 124 120 115 116 131 140 137 128 124 132 161 223 243 230 217 214 221 233 244 257 283 325 373 414 412 355 268 185 104 34 0 0 0 0 0 1 2 2 1 1 2 16 40 45 25 6 1 0 0 0 0 0 0 1 6 26 68 112 134 121 99 95 125 197 250 296 337 358 352 331 301 242 161 84 35 16 14 15 30 36 47 57 56 48 38 27 14 6 2 2 2 0 0 1 6 2 0 0 0 0 0 1 0 2 10 17 19 15 8 12 33 62 75 58 24 2 0 0 0 4 19 26 13 0 0 0 0 2 4 9 20 21 8 1 0 0 0 0 0 0 0 0 0 0 0 4 14 22 17 11 18 36 69 114 155 178 177 164 152 146 142 140 136 128 117 107 102 107
74 76 78 72 62 53 45 36 33 33 35 37 38 38 39 41 46 51 64 85 102 108 111 116 111 99 89 93 102 115 119 123 135 166 219 241 236 235 242 253 261 264 269 299 337 380 405 363 257 141 65 31 8 0 0 0 0 1 1 0 0 0 0 4 23 59 69 31 4 0 0 0 0 0 0 0 4 16 41 71 92 88 47 20 29 82 189 278 308 353 376 373 349 299 223 142 78 48 44 45 40 25 46 70 109 119 105 82 57 27 6 1 0 0 0 2 6 14 6 1 0 0 0 0 0 2 12 33 49 43 23 8 12 26 52 56 38 15 2 0 0 0 3 20 27 15 1 0 0 0 2 7 16 24 20 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 36 9 8 15 32 59 86 101 102 91 81 76 75 76 77 76 72 70 71 74
71 75 80 70 58 50 41 30 27 29 33 35 36 39 43 45 46 53 64 77 87 90 91 97 103 104 99 90 92 113 129 160 195 226 244 250 250 254 263 274 279 274 284 325 344 377 387 309 180 65 9 1 0 0 0 0 0 0 0 0 1 1 0 2 10 22 23 5 2 1 0 0 0 0 0 2 9 22 39 54 58 43 11 1 2 43 148 272 321 380 423 416 361 289 210 132 77 86 105 112 99 78 78 123 168 184 161 111 58 17 0 0 0 0 2 6 9 11 5 1 0 0 0 0 0 4 18 55 83 68 33 12 13 29 50 48 30 12 3 0 0 0 0 0 1 1 0 0 0 0 1 6 14 18 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 29 69 13 3 3 7 14 25 33 37 35 34 34 35 37 40 43 44 51 54 60
78 81 79 69 58 49 39 28 21 21 28 33 33 37 41 44 44 48 56 65 75 80 84 92 99 103 101 94 97 122 159 219 248 265 273 278 280 284 291 306 322 327 338 360 371 388 369 282 169 80 32 13 0 0 0 0 0 0 0 0 2 1 0 0 1 1 0 2 4 1 0 0 0 0 0 3 7 13 23 33 34 17 3 1 0 52 164 293 374 399 443 455 402 317 241 181 145 175 188 180 161 134 116 161 212 213 166 99 41 9 0 0 1 0 3 7 8 7 6 5 3 1 0 0 0 3 12 47 77 61 32 16 15 24 32 28 19 10 4 1 0 0 0 0 0 0 0 0 0 0 0 2 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 23 62 53 18 4 0 0 2 4 6 5 6 7 10 13 16 18 21 33 38 44
87 84 72 61 55 49 40 29 18 16 25 31 29 31 38 41 39 39 45 52 72 88 99 109 114 111 92 67 75 110 170 235 253 271 284 293 306 318 325 333 362 387 442 416 418 448 331 214 177 148 97 39 0 0 0 0 0 0 0 0 0 0 0 4 6 3 0 1 0 0 0 1 2 3 3 2 1 3 7 14 16 9 1 3 40 124 226 323 392 413 432 465 449 379 305 261 246 248 245 222 189 173 179 201 200 149 85 40 12 3 2 2 2 0 1 3 3 4 5 9 13 11 5 1 0 1 5 16 37 39 25 12 7 7 6 6 7 8 8 4 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 1 6 33 96 64 30 9 1 0 0 0 0 0 1 2 3 4 5 8 15 23 30
84 78 61 52 49 45 42 34 25 21 27 33 32 31 37 34 32 32 34 37 54 72 97 114 122 120 103 62 48 76 144 211 247 274 286 300 325 345 356 375 423 455 501 337 298 297 182 101 113 134 103 42 1 0 0 0 0 0 0 0 0 5 31 46 33 13 1 0 0 0 1 5 8 9 7 3 0 0 2 5 7 6 3 10 91 180 256 334 414 470 482 480 458 383 340 323 307 286 267 229 184 200 255 274 222 125 54 35 25 17 10 5 1 0 0 0 1 5 10 17 23 23 15 5 1 0 1 1 9 17 13 7 3 1 0 0 2 5 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 65 104 94 61 26 5 0 0 1 1 0 1 1 1 1 3 4 10 15
80 75 51 44 41 41 41 37 31 28 32 36 38 37 37 35 30 29 27 27 32 41 65 84 94 94 78 44 22 56 113 181 226 256 281 304 327 344 358 388 418 395 304 118 63 49 39 31 32 45 39 15 1 0 0 0 0 0 0 0 12 50 105 114 55 20 4 0 1 3 6 13 13 11 7 3 0 0 1 4 5 5 4 19 106 241 291 359 458 541 558 517 472 404 387 373 341 305 286 274 264 287 309 290 229 147 84 64 50 38 23 9 1 0 0 0 1 5 11 19 26 29 17 9 3 1 0 0 0 2 3 2 0 0 0 0 1 4 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 5 28 78 119 120 84 30 0 0 0 1 0 0 0 0 0 0 1 2 1
76 71 49 38 37 40 40 37 32 31 32 34 34 33 31 30 27 26 21 18 18 21 30 37 43 45 38 23 20 53 65 127 156 180 225 271 271 243 230 232 228 187 87 10 11 9 4 2 3 3 2 0 0 0 0 0 0 2 7 5 33 83 118 111 54 16 4 1 5 10 14 19 13 7 3 1 0 0 0 3 3 5 3 14 82 235 303 371 464 548 586 567 520 477 447 393 350 327 323 317 294 269 254 229 187 134 88 62 52 47 34 18 5 1 0 0 1 3 7 11 14 13 10 8 5 2 1 0 0 0 0 0 0 0 0 0 0 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 4 22 52 70 56 20 0 0 0 0 0 0 0 0 0 0 0 0 0
64 62 52 43 40 40 39 36 33 33 35 37 34 32 29 25 21 21 17 14 10 7 8 8 8 8 7 5 12 24 17 45 54 76 118 150 138 90 58 50 54 43 12 3 9 20 31 36 36 29 18 7 1 0 0 4 9 17 37 18 17 51 86 86 47 5 2 5 9 10 11 12 8 4 2 0 0 1 2 2 2 3 2 3 30 107 206 306 403 484 527 523 488 453 403 350 346 336 313 272 208 161 142 130 110 86 63 46 45 51 43 29 15 5 1 1 1 1 2 2 3 2 1 0 1 0 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 3 6 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0
49 51 50 44 37 35 37 37 36 36 40 41 38 34 32 29 23 18 12 10 7 4 2 1 0 0 0 0 2 3 1 3 6 17 23 31 29 13 0 0 1 3 0 6 24 56 102 117 103 77 48 22 3 3 20 18 21 35 50 22 4 23 51 56 34 7 3 9 5 2 2 3 4 4 6 4 2 1 2 2 2 3 2 2 2 23 88 194 305 388 430 415 373 341 308 282 319 302 258 197 131 94 87 76 64 55 46 40 43 47 46 38 26 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 0 0 0 0 0 0 0 0 0
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