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 10 11 11 10 9 8 7 8 11 13 13 12 13 15 17 17 14 10 8 9 9 9 8 7 6 5 4 4 6 8 8 7 5 3 3 6 10 11 12 11 10 9 8 9 12 15 16 13 8 7 9 10 9 7 6 7 7 7 6 5 5 5 6 9 10 11 10 9 9 9 9 8 7 7 7 7 6 6 7 8 8 8 7 6 6 8 10 11 12 13 14 15 14 12 11 13 16 18 17 14 11 8 7 7 6 5 3 3 2 2 3 4 4 3 4 6 9 14 19 21 21 18 12 6 5 8 11 12 11 10 10 10 9 9 10 10 9 7 5 4 5 9 12 11 9 7 6 6 7 9 11 11 9 10 14 16 15 13 9 4 2 3 6 10 8 3 1 2 4 7 8 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 8 8 nan
nan 8 10 11 11 9 7 6 5 6 10 14 14 14 16 17 18 16 14 10 9 9 10 9 8 7 7 6 5 4 5 6 7 7 6 5 5 7 10 11 12 12 12 12 12 13 14 17 17 12 8 6 8 10 10 9 7 6 5 4 4 4 5 5 7 10 11 11 9 9 10 11 11 11 10 9 9 9 8 7 8 9 9 9 8 6 4 5 7 7 7 6 7 9 12 12 13 14 17 19 17 14 10 8 7 8 8 8 7 6 4 3 4 4 4 2 -1 -2 -0 5 12 18 21 20 17 13 14 17 17 12 7 4 3 3 3 4 8 12 13 11 8 6 5 6 8 9 8 7 7 7 8 10 11 11 11 11 11 11 11 11 10 7 3 4 7 9 7 2 0 1 3 6 8 9 9 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 nan
nan 8 11 12 12 9 6 5 5 7 11 14 15 16 17 18 17 14 12 10 9 10 11 10 9 7 7 7 6 5 5 5 6 6 7 7 8 8 10 12 13 13 14 15 16 17 17 18 16 11 6 6 8 11 11 10 8 6 5 3 3 4 4 5 7 10 12 11 9 8 9 10 11 10 10 10 11 11 10 9 9 9 9 9 8 5 3 3 4 5 4 4 5 8 12 14 15 14 15 15 13 10 7 5 5 6 8 10 10 9 7 6 6 7 8 6 1 -4 -6 -3 3 12 18 22 23 23 24 24 19 11 5 1 -1 -1 -1 -0 3 7 10 10 8 6 5 5 5 6 7 7 8 8 8 8 10 12 13 13 11 9 10 11 12 11 8 6 7 7 5 3 1 1 3 5 7 9 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 10 nan
nan 10 12 13 12 9 7 5 7 9 12 14 15 16 18 18 16 13 10 9 10 11 11 10 9 8 7 7 6 5 5 6 6 7 8 9 9 10 11 13 14 13 14 15 16 17 16 15 14 10 6 6 7 10 11 10 8 7 6 5 5 5 5 6 7 9 11 10 9 8 9 10 9 8 8 8 9 9 10 10 9 8 8 7 6 4 3 3 4 5 6 7 8 9 11 13 14 13 12 10 9 7 5 3 3 4 7 8 9 8 8 8 9 11 12 12 7 -0 -5 -5 -1 5 13 19 21 22 21 19 14 11 8 7 7 6 4 2 3 5 7 8 7 7 7 7 8 8 8 8 7 7 6 7 9 13 15 16 14 12 11 13 15 16 13 7 5 5 5 4 3 2 3 4 6 7 7 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 nan
nan 11 12 11 9 7 6 6 8 11 13 14 15 16 17 16 14 12 10 10 10 11 10 10 9 7 6 6 5 5 6 7 8 8 9 10 11 11 13 14 13 13 13 13 14 12 12 12 12 11 8 6 6 8 10 11 10 9 8 7 6 5 5 6 7 8 9 8 8 8 9 9 8 7 7 7 8 9 10 10 9 7 5 5 5 4 4 4 6 7 9 10 11 10 9 9 10 9 8 6 5 4 4 3 3 4 6 7 7 7 7 9 10 13 15 15 12 7 1 -2 -1 3 8 12 14 12 11 9 8 10 12 15 16 16 14 11 10 9 8 9 9 10 10 11 12 11 9 8 7 6 6 8 11 15 16 17 16 15 14 16 18 19 15 8 4 4 5 5 5 4 4 5 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 9 nan
nan 11 10 9 6 5 5 6 9 12 13 14 15 15 14 14 13 12 11 11 12 11 10 9 8 6 5 4 4 5 6 8 9 9 10 11 12 13 14 13 12 11 12 12 12 10 9 11 12 12 10 8 6 7 10 12 14 14 13 10 8 6 6 6 7 8 9 9 8 8 8 8 8 8 9 9 10 11 12 12 9 6 5 5 6 6 6 6 7 8 10 12 13 12 10 8 8 6 4 3 3 4 5 5 4 4 5 6 7 8 9 11 12 12 13 14 14 12 7 4 3 3 5 7 7 6 5 4 4 7 11 16 19 21 20 18 17 15 13 12 12 12 12 12 12 12 11 8 7 7 7 9 12 14 14 14 14 14 15 17 19 19 15 9 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 11 9 6 4 4 5 7 10 13 15 15 14 14 14 15 15 14 13 12 12 11 9 8 6 5 4 4 4 5 7 8 9 9 10 11 13 14 13 12 10 10 11 11 10 8 9 12 14 13 11 9 7 8 10 12 14 15 14 12 10 8 7 6 6 7 9 10 9 8 8 8 9 10 11 11 12 13 13 12 10 7 7 8 9 9 8 7 7 8 10 13 15 15 13 12 10 7 5 4 4 6 8 7 5 3 3 6 10 13 14 14 13 11 9 10 12 13 12 9 6 5 4 3 4 4 4 4 3 4 7 11 15 18 20 19 18 16 14 12 12 12 12 11 11 12 11 9 8 8 8 9 11 11 10 10 10 12 15 18 19 18 14 10 7 6 6 6 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 nan
nan 10 8 6 4 4 6 9 12 14 17 17 16 16 17 18 17 16 14 12 11 10 8 7 5 5 4 4 5 6 7 7 7 8 9 10 12 13 12 11 9 8 8 8 6 5 5 9 14 14 13 10 9 8 9 10 12 12 11 10 9 9 9 7 6 6 8 10 10 9 8 8 9 11 11 11 11 11 12 11 10 8 8 9 11 11 10 8 7 8 9 12 16 17 16 15 12 9 7 6 7 8 9 8 5 4 5 8 14 18 19 17 13 8 6 6 7 10 12 11 9 7 5 4 3 3 4 4 3 3 3 5 9 11 13 13 12 10 8 7 8 12 14 13 12 11 10 10 9 9 8 9 9 8 7 7 8 9 13 18 20 17 14 11 9 7 7 7 7 8 8 8 7 6 5 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 nan
nan 11 8 5 4 4 7 10 13 15 18 18 17 17 17 17 16 14 12 10 9 8 7 6 5 5 4 5 6 6 7 7 7 7 8 11 12 13 12 10 8 6 5 4 3 0 -0 4 10 14 14 12 10 8 9 9 9 8 8 8 8 9 8 7 6 5 7 10 11 10 8 7 8 9 10 9 9 9 9 9 9 9 8 9 11 12 11 9 8 7 8 11 15 16 15 13 11 9 8 7 7 8 8 7 7 7 8 11 15 18 18 15 10 6 3 3 5 7 10 11 10 9 9 8 7 6 6 6 5 4 3 3 4 5 5 5 3 2 2 1 3 7 11 12 12 12 11 10 10 10 9 8 7 7 7 6 6 6 10 16 18 17 14 12 10 8 7 7 7 8 9 8 7 6 5 5 6 7 7 8 8 8 9 9 9 9 9 9 9 9 nan
nan 11 7 2 2 3 6 10 14 17 18 18 16 13 13 12 11 9 8 7 7 7 7 6 5 3 3 4 5 7 7 7 7 8 9 12 14 14 12 9 6 4 3 3 3 2 1 1 6 12 16 15 12 9 8 8 7 7 6 6 6 7 7 6 6 6 9 12 13 12 9 6 7 8 9 8 8 7 7 7 8 8 8 8 9 11 11 10 8 7 8 10 12 12 10 9 9 9 8 6 6 7 8 8 8 8 9 10 12 14 13 10 6 4 3 5 7 9 11 12 11 10 11 12 12 11 10 10 10 9 7 5 4 3 2 1 -0 0 0 -0 0 3 6 9 11 13 13 13 12 11 10 8 7 6 6 5 6 6 8 12 14 15 14 12 9 7 7 7 7 8 9 9 8 6 5 5 6 7 7 7 8 8 8 9 9 10 10 10 10 10 nan
nan 8 3 -1 -1 2 6 11 16 19 20 17 13 9 7 7 6 6 7 7 7 8 7 6 4 2 1 2 5 6 7 8 10 10 11 13 15 14 13 10 7 4 4 4 6 7 6 4 6 11 15 15 13 11 10 9 7 7 6 6 5 5 5 5 7 9 12 13 13 11 8 6 7 8 8 7 6 5 4 4 4 5 6 6 8 10 11 11 9 8 8 8 8 7 6 6 8 9 9 7 7 9 10 10 9 8 7 6 7 8 9 7 5 4 6 10 13 15 14 13 12 12 13 14 14 14 13 13 13 12 11 8 6 5 4 4 4 4 3 1 2 5 7 9 10 12 14 15 13 12 11 10 9 6 5 4 6 8 8 9 11 13 12 10 8 7 7 7 7 8 8 8 7 6 5 5 5 6 7 7 7 8 8 9 10 11 11 12 12 12 nan
nan 5 0 -2 -1 3 8 13 18 20 20 16 13 8 5 4 4 6 8 9 9 8 7 5 3 1 1 3 5 7 8 10 12 13 13 13 14 14 14 12 10 7 5 6 8 11 12 10 9 10 12 13 13 12 11 10 8 8 8 7 6 5 5 6 8 11 12 12 10 8 7 6 5 6 5 4 3 3 3 1 -0 -0 1 4 7 10 13 14 13 11 9 8 7 6 5 6 8 10 10 10 10 12 13 12 11 9 7 6 6 6 7 6 6 7 9 13 17 18 17 14 13 13 13 14 14 14 14 14 14 14 12 9 8 8 9 10 10 9 6 5 7 10 11 10 9 9 12 13 12 11 12 12 11 8 6 5 6 6 6 7 9 11 10 9 8 7 7 6 7 7 8 7 6 5 4 4 5 6 6 7 8 8 9 9 10 11 12 13 13 12 nan
nan 4 2 1 3 6 11 15 19 20 18 14 11 8 4 2 4 7 9 10 9 7 6 4 4 4 5 7 8 9 10 12 14 15 14 13 13 14 14 14 12 10 9 9 11 13 15 16 14 13 12 11 11 11 11 10 9 9 9 8 7 6 6 7 9 11 11 10 8 7 6 5 3 2 2 1 2 3 4 4 2 0 1 4 8 11 14 15 14 13 11 11 10 8 7 7 8 10 12 13 13 14 14 13 11 9 8 7 6 6 7 7 7 8 10 13 16 17 16 14 13 13 13 12 11 12 12 14 14 13 11 9 8 9 11 11 10 8 7 9 12 15 16 14 10 8 8 9 9 9 10 11 11 9 8 8 7 5 5 7 10 11 11 9 8 7 7 6 7 7 7 7 5 4 3 3 4 6 7 8 9 9 9 10 11 11 12 12 12 12 nan
nan 6 7 7 8 11 14 17 18 18 16 12 8 5 3 2 4 8 10 10 8 6 5 6 7 9 12 12 11 10 11 12 13 14 14 14 14 14 15 14 13 12 11 11 13 15 17 19 18 15 13 11 9 9 9 10 10 10 10 9 8 7 7 8 9 10 10 9 8 7 6 5 3 2 1 1 2 4 6 7 7 6 6 7 10 12 13 13 12 12 12 13 11 9 8 6 6 9 12 16 17 17 16 13 10 7 6 6 7 7 7 7 7 7 8 9 11 11 11 12 13 13 13 10 8 7 9 11 12 11 9 8 8 9 11 10 9 9 11 14 17 18 19 17 14 10 7 5 5 5 6 8 8 9 11 12 10 9 9 10 12 13 11 10 8 7 7 7 8 8 9 9 8 6 5 4 5 6 8 9 10 10 9 9 10 10 11 11 11 12 nan
nan 8 11 12 13 15 16 17 16 14 13 11 8 5 3 3 5 8 9 9 7 6 6 8 11 13 15 14 13 12 12 11 12 13 14 15 15 15 15 13 12 11 11 12 14 16 17 17 16 14 12 11 10 9 9 10 11 11 11 10 10 9 9 9 9 9 9 8 8 7 7 7 6 5 4 4 5 6 8 10 11 10 11 12 13 13 13 11 10 10 11 12 10 8 6 5 5 6 10 15 18 19 17 13 8 5 2 3 5 6 6 6 6 6 5 5 6 5 5 8 11 13 14 11 7 5 5 7 8 8 7 8 9 11 13 12 12 14 17 19 19 19 18 17 15 11 7 4 2 2 2 4 6 9 12 14 12 11 11 12 13 13 13 11 9 9 9 9 10 11 11 12 12 12 10 8 7 7 8 9 9 9 9 9 9 9 10 10 11 12 nan
nan 9 12 13 13 14 16 16 15 13 12 12 10 7 5 5 5 6 7 7 6 6 7 10 13 14 14 14 14 14 13 12 11 11 13 14 14 14 12 10 8 8 9 11 14 16 16 14 12 11 11 10 11 11 12 12 12 12 12 12 12 12 12 11 9 8 7 7 7 8 9 9 9 7 7 7 8 9 10 11 12 12 15 16 16 15 13 11 9 8 9 9 8 7 6 6 5 4 5 9 13 15 15 11 6 2 0 1 2 3 4 4 5 5 5 5 4 2 1 3 7 11 13 13 10 7 7 8 8 8 8 9 11 13 15 15 16 17 18 18 17 14 12 12 12 11 7 5 4 3 3 3 4 8 11 12 12 10 9 9 10 13 13 12 11 10 10 10 11 11 12 13 14 14 13 11 9 8 7 8 8 8 8 8 8 9 10 11 12 12 nan
nan 11 10 9 8 9 12 14 16 17 17 16 14 10 8 5 4 5 6 6 6 6 7 9 12 14 14 15 16 17 16 14 11 9 9 10 11 10 8 7 6 6 8 11 14 16 15 13 11 9 8 7 8 10 13 14 13 12 12 12 12 12 13 12 10 8 7 7 7 7 9 10 10 9 8 8 9 9 10 10 10 12 15 18 17 16 14 11 9 8 7 7 7 7 8 8 7 6 4 5 7 9 10 7 3 0 -1 -0 -0 1 2 3 5 6 7 7 6 5 3 2 4 7 10 12 11 10 10 10 10 9 9 9 10 12 13 13 13 13 13 12 10 8 7 7 8 10 9 8 7 6 4 2 3 6 8 9 8 7 6 6 8 10 12 12 11 10 9 9 10 11 12 13 14 14 13 12 10 7 6 6 7 7 7 8 8 9 9 11 12 13 nan
nan 13 11 8 6 6 9 13 17 21 21 20 16 12 9 6 5 5 6 6 7 7 7 8 10 12 13 14 15 17 17 15 12 9 8 8 8 7 5 5 5 5 8 11 14 16 15 12 9 7 5 4 5 8 11 13 13 12 11 11 11 11 12 13 12 11 10 8 7 7 7 9 11 11 10 10 9 8 8 8 9 10 14 16 17 16 15 12 10 9 8 9 9 11 12 12 10 8 7 7 8 8 7 5 2 0 1 1 2 2 2 3 4 7 9 11 11 11 10 8 7 7 8 9 10 11 11 11 10 9 8 8 8 9 8 7 5 5 4 4 4 4 4 4 5 8 10 10 9 7 4 1 1 3 5 5 5 4 4 5 7 8 9 10 10 9 8 7 8 9 11 13 13 14 13 11 9 8 7 6 6 7 7 7 8 9 10 11 13 13 nan
nan 13 12 10 9 8 10 12 16 18 18 16 14 11 9 7 7 6 7 7 7 7 7 8 9 10 10 11 12 14 15 14 12 12 12 12 11 9 7 6 6 7 9 13 15 15 13 10 8 6 5 5 6 8 10 10 11 11 11 11 10 10 10 12 13 14 13 12 10 8 9 11 13 14 13 12 10 8 8 8 8 9 11 13 15 16 15 14 11 10 11 12 14 16 16 15 13 12 11 12 12 10 8 6 4 4 5 6 7 7 6 5 6 8 11 13 14 15 16 15 14 11 9 9 10 11 10 9 8 8 7 7 7 6 4 2 -0 -0 0 1 2 3 3 4 5 7 10 11 10 6 2 -1 -0 1 1 2 2 2 3 5 7 8 9 9 8 6 5 5 6 8 10 11 12 13 12 11 10 9 8 8 7 7 7 8 8 9 11 12 13 13 nan
nan 12 11 11 12 12 12 12 13 13 12 10 8 7 6 6 7 8 8 7 6 6 7 8 8 8 8 7 8 9 10 11 12 14 16 16 15 13 10 9 9 9 11 13 14 14 12 11 10 9 9 10 12 11 11 10 10 10 10 10 10 9 9 10 11 13 15 15 14 12 11 12 13 14 14 12 10 7 6 7 9 10 10 11 12 13 14 13 12 12 13 16 18 18 17 15 13 13 14 14 13 11 9 9 8 9 10 10 10 10 9 8 8 10 12 14 15 16 17 18 18 17 14 11 10 10 9 8 7 7 7 6 6 5 2 0 -1 -0 2 3 4 4 3 4 6 8 10 12 11 6 2 -0 -1 -2 -2 -2 -1 1 3 5 7 8 8 7 6 5 4 4 5 6 7 9 10 11 11 11 10 10 10 9 8 8 8 8 9 10 12 13 14 13 nan
nan 11 10 11 13 13 13 13 12 11 9 6 5 4 3 3 5 7 8 8 6 5 6 7 8 7 6 6 6 7 8 9 10 13 16 17 17 16 14 12 11 12 12 13 14 14 14 14 14 14 14 15 16 15 13 11 10 10 9 9 9 8 7 7 8 10 13 15 16 15 13 12 11 11 11 9 7 5 4 6 9 12 12 11 11 11 12 13 13 14 16 17 17 15 13 10 9 10 11 12 11 10 9 10 11 13 13 13 12 11 11 10 10 11 12 12 13 14 16 18 19 19 16 12 9 8 8 8 7 7 7 7 6 5 3 1 1 2 4 6 5 4 4 6 9 10 11 11 10 7 4 2 0 -2 -4 -4 -3 -1 2 4 5 5 5 4 4 4 4 4 5 5 6 7 8 9 9 9 9 10 10 9 9 8 8 9 10 11 13 14 14 14 nan
nan 10 9 10 11 13 14 14 13 12 9 6 5 4 4 3 4 6 8 8 6 5 5 6 7 7 6 5 6 7 7 7 8 10 13 17 19 18 15 13 11 10 10 12 14 15 15 15 15 15 16 16 16 14 12 10 9 8 8 8 7 6 5 5 5 7 10 13 15 15 14 12 10 9 8 7 6 5 5 7 10 14 15 13 11 10 11 13 14 16 17 15 12 9 7 6 7 9 9 9 8 8 8 10 12 14 15 14 13 12 11 11 11 11 11 10 11 12 15 17 18 19 16 11 9 9 9 9 8 7 7 7 7 6 4 3 3 3 4 4 4 4 6 9 11 12 11 9 7 6 7 7 6 3 1 -1 -1 -0 2 3 3 3 2 3 3 4 5 5 5 5 5 6 7 8 9 9 8 9 9 8 8 8 8 10 11 12 13 13 14 14 nan
nan 9 8 8 9 10 12 14 14 13 10 8 8 7 7 6 6 7 8 8 6 5 5 6 7 7 5 4 6 7 7 7 8 9 12 16 20 19 15 11 7 6 8 11 15 16 14 12 12 13 14 14 13 12 10 8 7 6 7 7 6 5 3 3 4 6 9 12 13 13 12 11 10 8 7 6 7 8 8 9 11 14 15 15 13 11 11 13 15 16 14 10 6 4 5 7 10 11 10 8 7 6 6 7 10 12 14 15 14 12 11 10 10 9 9 9 10 11 13 15 17 17 14 11 10 10 10 10 9 8 7 7 7 7 6 5 4 3 2 1 1 3 7 11 14 13 10 6 5 8 10 12 13 12 10 6 4 3 3 3 3 3 3 4 5 5 6 5 5 5 5 6 7 8 9 9 8 8 8 8 8 8 9 10 12 12 13 14 14 14 nan
nan 8 8 7 6 6 7 10 12 13 12 10 10 10 9 7 6 7 8 7 6 6 6 7 7 7 5 4 5 6 7 8 8 9 11 15 18 19 15 11 7 6 8 13 16 17 14 10 8 9 10 12 12 11 10 8 7 6 6 7 7 5 4 4 5 7 10 11 11 10 9 8 8 7 6 7 8 9 9 9 10 12 14 14 13 12 12 13 13 13 10 8 5 6 8 11 13 13 11 9 7 6 6 6 8 10 12 13 13 12 10 9 8 9 9 10 11 12 12 13 15 15 14 12 11 11 12 11 11 9 7 7 7 7 6 5 4 3 1 -0 0 4 8 12 13 11 6 3 5 9 13 15 17 17 15 11 8 7 6 6 6 6 6 7 7 6 6 5 5 5 6 7 8 9 9 9 9 9 8 8 8 9 10 11 12 12 13 13 14 14 nan
nan 7 7 7 6 4 5 6 8 10 11 10 10 9 7 6 5 5 7 7 6 7 8 8 8 7 5 5 6 7 8 8 8 9 10 11 14 16 15 12 10 10 12 15 18 18 15 10 6 4 5 8 10 12 11 11 10 9 8 8 7 6 6 5 6 8 10 11 11 9 7 6 5 5 5 7 8 9 8 7 9 10 11 12 11 11 11 11 11 10 9 8 8 9 11 14 15 14 13 11 10 8 7 7 7 9 10 11 11 10 9 9 10 11 12 13 13 12 11 11 12 13 13 12 12 12 12 13 12 10 8 8 7 6 5 4 3 3 2 1 2 5 9 11 11 6 1 -1 2 8 12 15 16 15 14 11 8 8 9 9 9 9 9 9 8 7 6 5 5 6 7 9 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 12 13 12 nan
nan 6 6 6 5 5 5 6 7 7 8 8 7 5 4 3 3 4 6 7 7 7 8 9 9 8 7 6 7 7 8 8 8 8 8 8 9 10 12 12 12 13 15 17 17 18 15 12 7 3 3 5 9 11 12 13 13 12 11 10 8 7 6 6 6 8 9 10 10 8 6 5 5 6 6 7 8 8 7 7 7 8 9 9 9 10 10 10 10 11 11 11 11 11 12 14 15 15 15 14 12 11 9 8 8 8 9 10 10 10 11 12 14 15 15 15 13 11 9 8 9 11 12 12 12 12 12 12 12 11 10 9 8 7 6 5 4 4 4 4 3 5 8 9 8 4 -1 -3 -1 3 7 11 12 10 8 6 6 6 8 9 9 10 10 10 9 8 7 7 7 8 9 10 11 11 11 10 10 10 10 10 10 11 11 12 12 11 11 11 12 12 nan
nan 6 6 5 6 7 8 9 8 7 7 6 5 3 2 2 3 5 7 7 7 8 9 10 9 8 7 7 7 6 6 7 7 7 7 6 5 5 7 9 11 13 14 14 14 14 14 13 10 7 5 6 8 10 12 13 14 14 14 12 10 8 7 7 7 7 8 8 7 6 5 5 6 8 8 9 9 8 8 7 7 7 6 7 8 8 9 9 11 13 14 14 12 10 10 12 15 16 16 15 14 12 10 9 9 9 9 9 10 10 12 14 16 16 16 15 13 11 9 8 10 10 10 10 9 10 12 12 12 11 10 9 8 8 7 7 6 6 7 7 6 5 5 6 6 4 2 1 1 2 3 5 4 2 1 1 2 4 5 6 7 8 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 nan
nan 7 6 6 7 9 10 11 10 9 7 6 5 4 4 4 5 7 9 9 10 10 10 10 10 9 8 7 6 6 5 6 6 8 8 8 6 3 3 5 7 10 10 9 9 10 12 13 13 12 10 9 9 10 11 12 13 14 14 12 10 9 8 8 8 7 6 5 4 4 5 6 7 8 9 9 8 8 8 8 8 7 6 5 5 5 6 8 10 13 15 15 12 9 7 10 13 15 16 15 13 11 10 10 10 9 8 8 9 9 10 12 13 14 14 14 13 11 11 12 12 11 9 8 7 8 11 12 12 12 11 10 9 8 8 9 9 9 10 11 10 8 6 5 5 5 5 4 3 3 2 1 -2 -3 -3 -1 2 3 5 6 7 7 8 9 10 11 13 13 13 13 12 11 10 10 9 9 10 10 11 11 11 10 10 9 9 10 10 11 11 11 nan
nan 8 7 7 9 10 11 12 11 9 7 6 7 7 7 7 8 10 11 12 13 12 11 10 9 9 8 7 7 6 5 5 6 8 10 11 10 7 5 4 5 6 7 7 7 9 12 14 15 15 13 11 10 10 11 11 12 13 14 12 10 8 8 8 9 8 5 4 5 6 8 8 8 8 9 10 8 7 8 8 9 8 6 4 3 2 3 5 8 12 14 15 12 9 7 8 11 14 16 15 13 10 9 9 9 8 8 8 9 8 8 7 8 8 9 10 11 12 13 14 14 13 11 9 8 7 9 11 13 13 14 13 12 10 9 9 10 11 12 12 13 12 10 8 6 5 5 4 3 2 1 -1 -2 -2 -0 2 4 6 8 10 11 11 11 12 13 14 16 16 16 14 12 11 10 10 9 10 10 11 11 10 9 9 9 9 9 10 11 11 11 11 nan
nan 6 6 7 8 10 12 12 12 10 8 7 8 9 9 10 11 11 13 14 14 13 11 9 8 8 9 9 9 8 6 5 5 7 10 12 13 12 9 6 5 5 6 7 8 10 12 14 14 13 12 11 12 13 13 12 12 12 12 12 10 9 8 8 8 8 8 8 9 9 10 10 9 9 10 9 8 6 7 8 9 8 7 5 3 2 2 3 6 9 12 13 13 10 9 9 11 14 16 15 12 10 9 8 8 7 8 9 10 9 6 4 3 3 5 6 9 10 12 13 14 14 13 12 10 9 8 9 11 13 14 15 15 14 11 9 8 9 10 10 11 11 11 9 7 6 4 3 3 2 1 0 1 3 5 7 9 12 15 17 18 17 16 15 15 15 16 16 15 13 12 10 9 10 10 11 12 12 12 10 9 8 8 8 9 10 11 12 12 11 nan
nan 4 5 5 7 9 11 12 12 10 8 8 9 11 12 12 12 12 13 14 14 13 11 9 8 9 10 11 11 9 8 6 6 7 9 11 12 12 11 8 6 6 7 7 8 9 11 12 12 10 9 10 13 15 15 14 13 11 10 11 10 9 7 6 6 8 11 13 13 11 11 11 11 11 10 9 7 6 6 6 7 8 7 6 6 5 4 4 5 7 8 10 11 10 9 9 11 13 14 14 13 11 10 8 8 8 8 10 10 9 6 3 1 1 3 5 8 9 10 11 11 12 13 12 11 9 7 6 8 10 12 13 15 15 13 10 7 6 7 8 9 10 10 10 9 7 6 5 5 5 4 4 5 7 9 12 15 18 20 21 21 20 18 16 14 13 12 12 11 10 9 9 9 9 11 12 12 13 12 10 9 8 8 8 9 11 11 12 11 11 nan
nan 4 4 5 6 7 9 10 10 9 8 8 10 12 13 14 13 12 12 12 14 14 13 12 11 10 10 10 11 11 10 9 8 8 9 10 11 11 10 9 8 8 8 7 7 8 9 10 11 9 7 8 11 15 16 16 14 11 10 10 10 8 7 5 4 7 11 14 13 10 9 9 11 12 12 10 8 7 6 7 8 9 9 9 9 9 7 6 5 5 6 7 8 8 8 9 9 10 11 13 13 13 11 9 8 9 9 9 9 8 6 4 2 2 4 7 9 10 9 9 9 9 10 10 10 8 7 6 6 8 10 11 13 13 13 11 8 6 6 9 11 11 11 12 11 10 8 7 7 7 7 6 6 8 10 14 18 20 21 19 18 17 16 14 12 10 8 7 7 7 7 8 9 10 11 12 12 11 10 9 8 8 8 9 10 11 12 12 11 11 nan
nan 7 7 6 6 7 7 8 9 8 8 8 10 12 13 13 13 11 11 11 13 14 14 14 12 9 8 9 10 11 12 12 11 10 10 11 11 11 11 10 9 8 8 7 7 8 10 11 11 9 6 7 9 12 15 15 14 12 10 9 9 9 9 7 5 6 8 10 11 9 8 9 11 13 13 10 9 8 9 10 12 12 12 13 13 12 10 8 7 6 5 5 6 7 7 8 8 8 9 11 12 12 10 9 8 8 9 8 9 9 7 5 4 5 7 9 10 10 9 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 8 10 13 15 15 15 14 13 11 10 8 7 6 6 7 8 10 12 15 16 16 14 13 12 12 11 10 8 7 6 5 6 7 9 10 12 12 11 10 9 9 8 8 9 9 10 11 12 12 12 11 11 nan
nan 11 11 10 9 8 7 7 8 8 8 8 9 11 12 13 13 11 10 11 12 13 12 11 9 8 7 9 10 11 12 12 12 12 13 13 13 13 13 12 10 7 7 7 8 9 11 12 12 11 8 8 10 12 13 13 13 11 10 9 10 12 13 12 10 7 6 7 7 8 8 9 11 14 15 13 11 11 13 15 17 17 16 17 17 16 14 11 9 7 5 5 6 6 7 8 8 9 9 10 12 11 10 8 7 7 7 7 8 8 8 7 6 6 8 10 10 9 9 8 8 7 8 10 11 13 14 15 16 15 14 13 12 11 10 10 9 8 8 9 12 15 16 16 15 14 13 11 8 6 5 6 8 9 10 11 12 13 12 12 11 10 9 8 8 7 7 6 6 7 8 10 11 12 11 9 8 7 7 8 9 10 11 12 13 13 12 12 11 11 nan
nan 14 14 13 12 10 9 9 9 10 10 9 9 11 13 14 14 14 12 11 11 9 7 5 5 6 8 9 10 11 11 11 12 13 14 13 12 13 13 12 9 6 6 7 8 10 12 14 14 13 11 10 11 12 13 12 11 10 9 9 11 13 15 14 13 10 7 6 7 8 9 10 13 16 18 16 14 14 15 17 18 18 18 18 18 17 16 15 12 10 7 6 6 7 7 8 9 11 11 12 12 12 10 9 8 7 7 7 7 8 9 8 8 8 10 10 10 9 8 7 7 8 9 11 14 17 19 21 22 21 20 17 15 13 12 10 9 7 5 5 7 10 11 12 13 14 13 11 8 5 4 5 7 9 11 13 14 14 12 11 11 9 7 6 5 5 6 6 6 7 9 11 12 11 10 8 7 6 6 8 10 11 12 13 14 13 13 12 12 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
75 78 78 77 76 77 78 82 87 91 93 94 93 92 90 89 89 88 88 97 119 147 151 138 117 111 112 111 99 82 74 73 69 65 65 65 65 65 67 70 72 75 76 70 60 59 76 103 119 111 97 86 79 77 80 85 89 100 106 110 119 127 120 107 102 97 122 165 192 174 131 87 53 30 13 3 1 0 0 2 4 7 10 8 3 1 2 2 9 14 18 26 34 37 37 39 42 49 64 84 107 126 122 113 86 51 30 37 51 53 39 17 4 5 3 1 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 1 1 1 2 2 2 2 2 2 2
79 80 80 79 79 80 81 85 87 89 90 92 93 92 91 89 88 87 89 104 131 158 163 149 124 118 118 115 101 86 81 83 78 72 71 71 69 68 68 70 73 77 84 83 72 67 80 102 117 116 101 88 80 78 82 85 87 95 106 114 134 143 128 116 106 95 111 163 192 167 129 93 62 37 18 5 0 1 4 12 22 27 25 20 13 7 9 12 30 37 39 45 56 64 64 58 53 52 58 75 100 117 115 101 86 57 47 58 68 62 40 16 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 1 2 3 3 3 3 2 7
79 82 84 84 84 84 85 89 90 93 91 91 92 92 91 89 87 85 90 108 137 163 171 158 137 128 120 114 101 93 93 96 97 94 91 84 76 72 69 69 72 78 91 101 90 79 83 100 115 118 107 91 80 79 83 84 85 91 104 119 151 155 133 121 111 103 118 163 194 174 136 102 72 45 22 6 1 7 22 48 64 65 61 52 38 26 28 32 60 67 73 94 121 133 120 88 61 51 51 66 93 121 124 101 82 60 63 76 81 65 40 17 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 1 2 3 3 3 2 8 37
78 79 81 83 84 85 88 91 92 93 92 92 92 94 97 96 90 86 89 104 133 164 180 173 153 137 121 117 107 105 106 112 118 122 117 103 87 80 77 77 80 88 103 120 117 97 90 98 109 115 111 100 87 83 85 86 84 87 99 121 148 162 137 122 114 107 119 152 175 167 136 102 75 47 16 2 7 27 65 102 109 107 108 98 78 63 61 63 106 101 119 167 215 240 219 152 79 52 49 59 88 142 158 123 80 61 68 85 91 76 48 22 5 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 1 2 3 3 9 37 120
75 75 77 80 82 86 90 92 93 92 90 91 92 97 107 107 99 92 92 101 124 155 184 191 174 149 127 120 113 111 112 115 122 129 128 115 99 92 90 92 98 105 120 140 145 119 99 99 104 108 107 103 96 89 90 90 85 83 94 113 132 143 132 118 109 113 125 135 137 128 109 86 61 31 7 0 7 37 91 134 139 151 156 152 135 121 110 112 151 151 163 196 248 315 325 246 128 60 48 52 77 144 147 109 69 54 60 78 82 60 33 14 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 1 2 3 8 32 105 250
75 75 76 79 84 89 93 94 94 92 89 89 92 103 119 117 112 107 104 107 120 142 175 204 202 169 137 120 116 113 110 109 113 122 125 119 111 107 104 111 120 122 135 160 174 155 121 105 102 100 99 100 102 100 98 96 88 83 89 93 103 112 111 104 88 105 114 110 102 92 79 62 36 8 1 0 4 27 74 120 145 187 206 204 193 184 170 173 205 224 219 202 238 343 387 298 153 61 47 53 71 92 74 52 37 33 39 49 58 42 22 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 19 83 211 384
81 78 76 79 85 91 94 95 94 93 90 89 94 108 122 121 126 126 122 120 125 139 166 205 226 182 141 122 118 116 111 104 103 110 115 118 122 125 126 132 131 127 132 158 186 188 154 119 104 95 90 92 102 110 111 104 92 81 83 77 83 88 88 82 69 79 81 82 81 71 55 37 17 0 0 0 1 12 39 82 135 195 227 258 260 259 252 245 258 267 233 183 215 348 397 281 136 61 55 58 44 31 22 19 17 19 25 31 33 26 14 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 54 163 318 486
85 80 78 80 86 92 94 94 94 92 90 89 100 114 122 125 132 135 134 130 129 138 161 197 227 181 139 121 116 112 107 101 97 100 103 111 124 133 134 130 123 119 112 130 166 189 173 135 107 93 81 80 92 111 120 113 97 81 78 77 84 76 69 64 56 52 59 75 67 48 29 13 4 0 0 0 0 3 10 40 91 149 224 314 334 339 348 326 309 287 229 172 223 360 374 235 122 74 71 58 17 6 8 17 24 31 37 38 30 20 12 7 4 1 0 0 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 4 19 100 243 410 566
87 84 83 85 89 93 94 94 93 92 90 92 111 124 128 129 131 134 137 135 135 142 160 189 208 177 134 116 109 106 101 96 91 92 97 106 117 123 121 116 111 107 104 113 150 185 179 144 111 93 80 73 83 106 123 122 104 83 75 79 83 67 61 61 52 47 57 63 50 25 9 2 0 0 0 0 1 6 13 27 67 131 219 313 360 393 408 384 338 271 196 170 241 350 314 185 127 89 65 37 11 5 7 19 32 39 35 28 24 22 15 9 5 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 30 140 304 471 608
91 88 88 89 93 94 94 93 92 92 93 101 124 143 144 139 136 134 136 137 140 149 162 184 191 168 131 112 107 105 101 93 88 90 98 108 114 114 111 112 115 116 119 127 153 194 187 151 117 97 85 77 80 101 124 131 114 91 76 70 71 72 77 68 49 44 49 46 30 10 1 0 0 0 2 10 27 50 71 95 126 182 256 328 386 426 430 399 349 256 165 165 253 324 250 154 140 105 67 34 12 5 7 14 25 36 40 43 39 28 17 10 7 3 1 1 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 1 6 50 178 345 503 628
94 92 91 92 93 94 94 93 92 93 101 118 137 157 157 153 145 143 145 149 154 160 171 183 179 155 128 112 108 110 106 97 91 94 104 114 119 116 112 120 127 131 137 148 169 205 195 157 122 100 90 85 84 99 124 138 125 101 79 67 70 82 92 75 44 42 40 29 14 4 0 0 0 3 15 47 84 107 117 137 160 210 285 359 434 483 476 428 406 341 215 190 271 313 243 170 173 130 78 40 19 10 8 9 14 23 33 42 42 33 22 14 9 4 2 3 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 0 0 0 0 0 0 0 0 0 1 3 14 79 220 378 519 630
98 95 93 93 93 94 95 93 91 95 108 127 145 156 153 153 153 152 154 160 169 176 179 180 170 147 128 116 112 114 114 109 103 102 110 119 125 122 118 123 135 141 149 163 182 202 194 157 121 100 90 85 84 94 118 138 133 105 79 63 64 79 91 77 26 31 32 22 9 2 0 0 0 6 28 44 58 70 74 73 71 79 122 217 354 477 519 481 437 379 244 221 300 332 264 183 165 127 87 52 29 16 10 7 8 12 21 32 36 31 22 16 10 5 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 27 101 247 397 526 626
100 97 96 95 94 96 96 94 91 99 113 129 144 149 144 143 146 145 144 150 164 175 174 166 153 136 124 118 115 117 121 122 118 114 117 124 128 128 124 127 145 154 158 170 185 197 189 154 115 97 87 79 75 84 104 127 134 112 79 58 57 76 93 77 30 23 23 14 5 1 0 0 0 0 2 9 17 27 34 36 36 32 22 51 161 323 448 494 482 423 280 246 331 363 281 166 104 87 90 60 38 24 14 9 8 10 15 23 29 26 18 13 9 5 3 3 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 0 1 9 41 123 262 405 517 606
103 103 102 98 99 101 99 93 88 93 108 123 141 147 148 148 145 141 135 134 142 151 152 147 139 131 125 124 120 123 127 129 128 125 125 130 132 128 124 131 152 162 157 169 178 184 177 149 111 90 81 72 64 66 83 110 129 119 81 54 55 74 93 82 45 23 15 8 3 1 0 0 0 0 1 6 15 25 28 29 33 34 19 10 37 128 271 408 471 423 295 255 360 390 287 153 73 71 100 75 47 31 20 13 10 9 10 10 14 19 16 14 10 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 56 154 277 400 498 579
106 108 106 103 106 107 102 93 88 93 105 116 131 145 156 160 156 148 137 132 132 135 134 132 130 128 126 128 123 125 127 129 129 128 128 134 139 134 126 130 148 159 155 165 159 164 171 150 113 85 71 63 58 54 66 96 120 111 75 43 49 61 82 79 55 29 11 3 1 0 0 0 0 1 7 21 32 38 26 16 13 10 4 1 3 26 127 275 356 322 250 272 393 414 274 157 89 89 113 94 52 27 21 16 13 10 7 6 7 11 16 17 11 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 18 73 180 290 398 486 555
111 116 115 114 113 111 106 96 90 92 102 111 119 130 143 149 151 146 137 130 125 122 122 122 121 119 119 120 114 115 115 120 126 132 135 139 145 145 138 140 152 156 153 155 143 148 163 148 119 90 69 59 56 52 59 88 108 95 55 22 30 35 49 51 42 26 11 2 0 0 0 0 0 2 15 37 44 32 16 6 2 0 0 0 1 7 80 210 279 249 222 296 424 439 247 140 110 144 173 140 66 25 19 14 11 8 6 5 5 8 14 16 10 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 41 114 218 330 418 496 546
117 123 126 125 121 116 110 101 93 96 103 109 114 119 126 130 134 134 130 126 119 112 110 115 117 115 113 108 103 102 101 107 118 129 136 141 147 151 149 150 152 143 141 146 144 143 155 149 125 98 76 64 59 57 59 83 100 84 43 13 14 26 25 22 18 12 6 1 0 0 0 0 0 3 26 41 29 10 3 1 0 0 0 0 2 20 99 240 293 244 223 331 477 460 240 94 80 144 193 160 80 30 20 15 9 4 2 1 5 10 14 12 7 4 3 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 8 24 85 174 265 365 452 525 565
120 129 134 134 129 123 116 106 95 91 99 106 110 114 119 124 127 125 122 119 114 109 107 112 117 114 108 103 99 97 96 101 114 123 129 133 139 145 147 145 138 118 121 132 140 144 153 158 139 109 89 78 72 69 71 84 99 79 42 16 14 22 17 10 8 4 1 0 0 0 0 0 0 2 17 15 5 1 0 0 0 0 0 0 4 45 160 326 350 262 242 396 533 473 256 104 68 114 161 136 70 26 18 15 9 4 1 1 3 8 11 8 6 2 2 2 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 29 80 149 228 310 395 480 545 597
120 133 140 140 135 129 120 110 99 92 92 97 103 109 114 119 122 122 119 117 114 112 112 114 116 113 108 104 100 96 95 100 113 123 123 121 120 121 122 116 105 94 103 115 124 134 147 158 156 124 110 105 98 92 91 94 98 71 42 21 16 16 13 8 5 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 7 70 221 393 403 277 277 437 545 472 294 168 113 126 148 116 60 21 8 5 4 2 1 1 0 0 1 2 2 1 1 2 2 1 0 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 1 4 4 55 143 226 299 371 448 522 571 603
119 134 142 143 138 132 123 111 100 91 87 88 94 101 108 113 117 119 119 122 123 123 122 122 121 117 112 109 105 101 98 100 107 113 114 107 97 92 91 89 87 88 98 104 109 118 131 147 155 136 121 119 120 125 123 110 91 58 33 24 16 12 11 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 88 262 431 437 297 313 499 588 498 349 243 188 179 181 143 81 29 5 0 0 1 1 0 0 0 0 0 0 0 1 2 2 1 0 0 2 3 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 1 4 7 41 139 248 339 412 479 542 598 642
115 130 139 141 137 128 117 107 98 90 86 85 87 93 103 110 113 115 118 121 120 119 124 131 132 128 122 118 117 115 110 107 106 104 100 92 82 76 79 84 86 89 97 100 109 112 118 136 149 140 118 107 122 154 162 141 99 53 24 27 13 10 10 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 42 155 343 493 478 324 283 443 606 518 390 303 253 222 201 161 95 38 9 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 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 1 4 11 83 194 312 410 479 527 571 616
108 118 124 126 121 113 106 101 97 91 87 84 84 88 97 106 113 116 118 119 119 122 126 136 143 143 140 138 136 136 128 124 113 104 98 91 81 74 76 82 84 89 98 105 116 119 119 137 157 155 137 128 135 152 179 172 128 69 36 38 15 10 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 78 256 474 604 562 388 267 390 614 506 379 297 244 200 162 127 80 31 8 2 1 0 0 0 0 5 3 1 0 0 1 1 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 1 6 32 111 240 370 451 472 477 525
98 101 104 103 100 100 99 98 95 91 87 84 82 82 84 96 109 116 117 117 119 121 124 132 143 149 150 149 150 149 139 133 116 110 109 103 90 78 74 78 79 89 100 113 129 142 148 171 196 199 184 172 174 177 191 166 137 80 48 41 19 11 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 78 256 534 683 659 543 479 561 644 509 363 265 192 137 98 70 42 19 5 1 0 0 0 1 5 20 14 5 1 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 2 7 40 133 277 399 429 389 390
88 89 89 90 92 94 95 94 92 88 85 83 82 80 79 83 93 105 111 114 116 116 118 124 133 145 152 156 162 154 136 121 111 115 118 112 98 84 75 73 76 92 104 121 144 170 193 220 250 267 246 209 187 188 189 150 126 75 57 45 26 14 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 42 165 421 667 712 710 722 734 683 543 402 297 205 128 71 35 14 6 1 0 0 0 2 5 12 17 14 5 1 0 2 5 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 34 126 264 364 389 381
80 81 82 85 86 86 86 86 86 85 82 81 81 80 80 79 82 91 98 104 111 115 116 119 126 137 147 159 164 152 132 116 111 118 121 113 98 83 75 74 80 95 107 130 157 188 223 258 295 333 312 257 219 208 199 169 133 75 59 44 28 16 9 3 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 10 65 225 524 724 789 788 740 655 553 460 369 275 171 79 25 4 0 0 0 0 0 9 11 9 8 6 2 0 0 4 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 21 80 177 278 340
75 75 76 77 78 78 78 78 79 79 79 79 79 79 79 78 79 82 87 94 102 106 108 112 120 133 149 163 161 146 133 121 116 120 121 113 97 83 75 76 84 98 115 147 175 205 240 279 328 376 374 314 256 224 215 205 165 83 52 35 24 15 7 2 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 15 91 307 655 761 743 675 592 519 465 410 337 216 86 20 1 0 0 0 0 0 24 26 16 8 2 0 0 1 5 6 6 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 37 90 154
76 76 75 75 76 77 78 77 77 77 77 77 77 77 76 75 76 77 79 84 91 94 94 99 112 129 145 151 146 138 136 135 132 134 136 126 107 89 79 81 93 109 133 169 192 219 245 286 342 393 405 370 292 212 221 253 206 94 45 27 17 8 3 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 25 185 533 735 706 618 537 484 456 431 371 237 77 23 6 1 0 0 0 4 37 38 24 11 3 0 0 1 4 3 2 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 3 8 18
82 83 82 81 80 82 84 85 84 81 78 77 76 77 78 77 77 78 78 78 77 78 81 87 99 113 124 127 127 129 134 144 143 151 155 147 125 103 92 96 109 129 158 190 216 251 262 296 345 388 408 394 330 224 244 302 226 102 42 22 10 4 1 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 1 2 2 0 1 7 187 515 730 728 644 555 499 475 448 370 219 45 7 0 0 0 0 2 13 37 36 22 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0
88 88 87 86 85 88 91 91 89 85 83 79 78 78 78 78 82 85 83 83 82 81 80 80 85 92 98 102 107 114 125 141 143 152 163 162 149 131 120 120 135 159 188 214 249 293 298 319 354 382 403 400 348 256 265 333 219 104 44 21 6 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 1 2 5 2 4 24 272 567 731 747 697 620 555 515 452 326 157 21 0 0 0 0 0 4 14 24 18 7 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
89 89 90 91 92 91 93 94 94 94 91 87 83 84 87 91 94 97 97 99 96 91 86 82 81 81 85 88 92 102 120 137 142 145 158 168 169 163 155 157 177 204 228 239 277 318 329 345 375 388 400 397 356 294 282 347 209 110 53 22 7 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2 3 5 18 139 413 601 685 707 687 650 591 526 422 258 95 5 0 0 0 0 0 2 4 3 1 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
88 89 91 95 96 94 94 98 102 103 101 99 98 99 102 104 107 112 116 118 117 107 99 93 88 85 84 87 90 101 120 137 144 148 160 176 188 192 193 204 229 252 266 263 300 338 357 374 394 387 375 367 335 290 274 300 204 132 74 28 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 10 47 211 478 551 555 544 534 532 510 441 313 163 50 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 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
88 90 93 98 100 100 101 106 108 109 110 112 115 118 121 126 126 131 134 137 138 134 125 115 107 98 92 90 94 100 119 140 156 166 178 193 209 226 242 263 281 283 273 289 325 365 387 395 387 350 306 285 257 219 203 210 186 151 99 41 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 21 77 221 479 452 366 302 268 249 234 193 117 55 15 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 1 2 5 6 6 5 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
95 98 101 104 106 107 110 114 116 119 123 126 131 137 143 152 157 167 162 165 170 172 164 152 139 126 113 102 98 103 119 148 174 189 199 213 232 257 286 308 325 315 307 343 371 400 407 391 348 287 230 199 185 170 168 167 155 131 99 55 18 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 49 145 296 452 359 188 89 51 40 43 35 15 5 1 0 0 0 0 1 8 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 4 3 8 6 4 3 3 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
105 108 110 112 112 114 118 124 130 134 140 144 151 160 171 181 192 209 197 209 216 219 217 204 184 165 142 120 109 114 132 160 190 212 223 234 253 282 314 336 363 373 380 398 409 406 391 357 301 237 185 158 142 134 175 146 125 104 77 65 24 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 10 78 236 385 417 281 102 21 2 1 3 2 1 0 0 0 0 0 1 13 49 54 27 8 1 0 0 0 0 0 0 0 0 0 0 0 2 4 6 9 9 7 6 7 3 2 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
108 111 113 116 119 123 129 136 142 148 155 162 172 184 198 214 228 241 241 245 248 263 268 255 229 195 163 140 134 142 160 180 203 230 250 264 283 311 339 363 387 397 402 412 398 362 328 304 255 203 165 143 130 122 199 132 110 94 69 49 17 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 11 105 319 441 406 256 89 8 1 0 0 0 0 1 0 0 0 0 8 37 71 52 13 2 0 0 0 0 0 0 0 0 0 0 0 1 6 13 18 21 18 12 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
107 110 116 122 126 131 142 146 152 161 167 176 189 205 223 243 259 274 284 284 284 293 301 293 266 230 195 180 176 177 186 196 209 232 277 301 328 354 372 382 391 379 361 379 344 285 245 223 190 163 144 122 110 136 203 135 105 92 60 25 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 23 175 405 490 424 262 94 7 0 0 0 0 0 1 0 0 0 4 9 16 23 16 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 19 20 20 20 17 12 7 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
108 112 120 126 128 136 148 149 152 159 168 180 194 211 232 258 279 295 313 328 335 329 330 334 320 293 270 260 225 203 208 215 232 263 306 341 376 398 392 369 339 307 278 286 251 215 196 176 141 116 102 83 80 114 143 102 80 59 28 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 63 280 487 515 403 229 78 4 1 0 0 0 0 0 0 0 0 9 26 25 11 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 13 12 13 14 15 14 11 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
109 113 119 123 127 138 145 145 150 153 162 174 190 208 227 252 282 304 324 361 388 385 369 371 381 388 362 284 217 237 211 225 254 287 326 370 402 397 358 306 261 237 221 206 180 166 156 127 87 57 43 29 25 32 40 39 37 21 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 2 4 3 7 108 334 499 467 304 144 40 1 1 0 3 10 7 3 1 0 1 10 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 5 3 3 5 8 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
105 107 110 115 123 135 137 140 145 150 154 164 187 209 230 253 282 308 317 358 395 402 393 399 414 447 444 366 310 312 255 252 288 317 349 361 346 311 265 234 227 254 244 178 113 85 79 60 39 22 13 7 5 6 9 14 16 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 8 9 10 10 10 9 6 12 128 295 375 314 164 57 12 1 1 2 9 26 21 15 8 3 1 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 3 6 6 4 2 1 0 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
97 98 101 107 118 129 133 135 145 153 155 163 188 216 238 262 289 313 327 361 397 397 402 421 441 470 485 428 393 383 353 330 376 377 328 275 231 197 183 200 253 325 271 155 73 39 38 45 46 34 19 10 8 7 5 6 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 20 29 36 36 29 20 12 11 22 118 197 201 139 56 10 1 1 1 3 12 27 30 19 15 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 1 3 4 3 1 1 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 0 0 0 0 0 0 0
92 95 100 107 116 126 134 135 143 147 153 164 183 204 229 266 302 327 347 382 407 388 401 425 443 456 471 466 455 428 404 383 381 332 227 169 141 129 138 182 267 306 234 146 102 104 118 134 131 94 46 15 7 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 25 39 63 78 68 47 29 21 21 33 91 106 80 42 12 0 0 1 1 3 9 18 21 10 10 7 3 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 1 1 0 0 0 0 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
91 97 104 114 121 125 130 132 135 134 145 160 175 189 210 252 298 323 361 404 416 393 396 403 413 424 436 447 432 386 373 320 254 207 158 123 108 103 109 138 186 211 162 122 123 166 210 219 198 144 73 22 4 1 0 0 0 0 0 0 0 0 2 3 2 0 0 1 1 8 21 28 30 32 43 69 91 78 56 41 36 36 45 71 59 33 12 2 0 0 0 0 2 9 13 9 3 2 2 1 0 0 0 0 0 1 2 3 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 0 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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