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 10 9 8 6 5 4 4 6 8 10 12 11 9 7 5 5 9 13 15 16 16 14 12 8 3 -1 -2 -1 -1 0 1 3 5 7 7 8 12 15 17 16 14 13 11 11 10 8 7 5 4 4 5 7 8 7 5 4 3 3 3 3 4 6 10 14 15 12 11 13 14 12 8 5 7 10 9 7 5 6 9 12 13 12 11 9 10 11 12 12 13 14 14 13 11 8 6 8 12 14 12 7 2 1 4 7 9 8 7 6 8 10 13 13 11 9 9 11 14 17 18 17 14 8 3 4 8 10 10 8 7 8 9 10 12 13 12 11 7 4 2 2 4 5 4 5 7 8 9 9 9 10 9 8 6 8 11 11 11 8 4 3 4 6 8 8 9 9 9 8 7 6 7 8 9 8 7 7 7 7 7 8 10 11 12 13 14 14 15 nan
nan 9 8 7 7 6 5 4 4 4 4 7 10 12 12 10 7 7 8 10 12 13 15 15 13 10 5 1 -2 -2 -0 1 2 4 6 9 10 9 8 11 15 17 16 14 14 14 13 12 10 7 3 0 0 3 6 8 8 5 3 2 2 2 3 5 8 13 16 15 11 9 12 15 15 12 9 9 10 9 6 5 6 9 11 12 12 11 11 12 12 12 12 11 11 10 9 10 10 10 10 12 14 13 9 5 3 5 8 8 7 5 5 6 8 11 12 11 8 7 7 10 13 15 15 12 8 7 11 16 16 12 7 4 2 2 3 7 12 15 16 15 11 6 2 1 3 6 8 9 9 8 7 7 8 9 8 8 7 7 7 7 6 3 1 2 4 6 6 7 8 8 7 6 6 7 8 8 7 7 7 7 7 8 10 11 12 12 13 14 15 15 nan
nan 7 7 6 5 4 4 4 4 5 5 7 10 12 12 9 7 7 9 11 12 13 15 14 11 7 3 1 1 3 5 6 6 6 8 9 10 10 10 12 14 14 13 11 11 12 14 15 13 9 4 1 1 3 7 9 7 4 2 1 1 2 4 7 11 15 17 13 10 8 11 14 14 13 10 9 8 7 6 6 8 9 10 10 9 10 11 12 12 11 11 11 11 11 12 14 14 13 10 10 12 11 8 5 3 5 8 9 8 6 6 6 9 12 14 13 8 4 3 4 7 10 14 15 15 16 19 22 20 13 7 3 0 -1 0 3 7 10 13 15 14 12 8 5 4 5 7 8 7 6 5 5 6 8 9 10 9 8 7 7 6 5 3 4 5 5 6 6 7 7 7 6 6 6 7 7 7 7 8 8 9 10 10 11 12 12 13 14 15 15 nan
nan 7 8 7 5 3 3 4 5 6 7 8 10 12 11 9 7 7 10 12 13 13 14 13 9 6 4 4 6 8 9 9 8 8 8 9 9 10 12 14 14 13 10 9 8 10 12 13 13 11 7 4 3 4 7 8 6 3 2 1 1 1 3 7 12 16 15 11 9 8 10 12 12 10 8 6 6 5 5 6 8 9 10 8 7 8 10 12 12 11 11 13 14 16 16 16 14 12 11 10 11 10 7 4 2 4 8 10 9 8 7 8 12 16 18 16 10 3 0 -0 2 6 12 17 20 20 20 19 17 13 10 8 7 6 5 5 6 7 8 10 11 11 11 8 5 2 3 4 4 4 3 3 5 8 11 14 14 13 11 10 10 8 7 6 7 7 7 7 7 6 6 6 6 6 6 5 6 6 7 9 10 10 10 11 11 12 13 14 15 15 nan
nan 6 8 7 5 3 3 4 6 8 9 10 10 11 11 10 9 9 12 14 14 13 11 10 9 7 6 6 8 9 9 10 9 9 8 9 10 11 14 16 16 13 11 9 9 8 8 9 10 11 11 8 6 5 6 7 5 3 2 2 2 2 3 7 11 14 13 10 8 8 9 10 9 7 5 4 3 2 1 3 5 8 10 9 7 6 7 9 11 11 12 14 16 17 16 13 11 10 10 11 11 10 7 5 3 3 6 8 8 8 8 10 14 19 20 17 11 5 1 -1 0 3 9 15 18 17 15 12 10 10 12 13 14 14 12 10 9 8 8 8 9 10 10 8 4 2 1 2 2 2 2 3 5 8 11 14 16 16 14 13 12 11 9 8 8 8 8 8 7 6 5 4 4 4 4 4 5 6 8 9 10 11 11 12 12 12 13 14 15 15 nan
nan 6 6 7 4 3 3 4 7 10 10 10 11 12 12 12 12 12 14 15 15 13 10 8 7 7 6 5 6 7 9 10 10 10 9 10 11 13 15 17 16 14 11 9 7 6 5 7 9 12 13 12 9 8 7 7 7 5 4 4 5 6 6 7 10 12 11 10 8 7 8 8 8 7 5 3 1 -2 -3 -2 2 7 11 12 10 7 7 7 9 10 12 14 16 16 15 13 10 9 10 11 11 11 11 9 6 4 4 5 6 8 10 11 13 16 17 15 11 7 4 1 1 2 6 11 14 13 11 8 6 7 10 14 15 16 17 15 12 10 9 10 11 11 9 7 5 4 4 3 3 3 4 5 7 8 11 14 16 17 16 14 13 11 9 8 8 9 9 9 8 6 4 3 3 3 4 4 5 7 8 10 11 12 13 13 14 14 15 15 15 15 nan
nan 7 6 6 5 3 3 5 8 10 12 12 13 14 15 14 14 13 14 13 14 13 10 8 6 5 3 3 4 6 9 9 9 9 10 12 13 14 14 16 16 14 10 7 5 4 5 8 11 12 12 11 10 9 8 7 7 6 5 7 8 9 8 8 9 10 11 11 9 8 8 8 9 8 6 3 -0 -2 -3 -1 4 9 13 14 13 10 8 7 7 8 11 15 17 17 16 14 12 10 10 11 12 14 15 13 9 5 3 5 9 12 14 14 12 11 10 10 10 9 8 5 3 2 4 6 8 9 9 7 5 5 7 10 11 14 16 16 14 11 10 10 11 11 10 9 9 8 7 6 6 6 6 7 8 9 11 14 17 18 18 16 14 11 9 8 8 8 9 8 8 6 5 4 3 3 3 4 6 7 9 10 12 13 14 14 15 15 16 16 16 15 nan
nan 8 5 5 6 5 5 7 9 11 12 14 16 17 18 17 15 14 12 12 12 12 11 9 7 5 4 3 4 6 7 7 7 8 9 12 14 14 15 16 16 14 10 8 7 7 8 10 12 11 10 8 7 7 6 6 6 6 6 7 8 9 9 9 8 9 10 10 10 9 9 9 9 8 6 3 1 1 3 6 10 14 17 17 15 12 8 6 6 7 11 15 17 17 15 13 12 11 11 11 12 14 15 13 8 5 5 8 14 17 17 15 12 9 7 7 9 11 12 9 6 4 4 4 5 5 6 5 4 4 5 5 6 9 12 14 12 10 7 6 6 8 10 11 12 11 10 9 8 8 8 7 7 8 11 14 16 18 18 17 15 12 9 8 8 8 8 8 8 7 6 5 4 3 3 4 5 7 9 10 12 13 14 14 15 15 15 16 16 15 nan
nan 7 5 6 9 9 9 9 10 12 13 15 16 17 17 17 15 13 12 10 10 10 10 9 8 8 7 6 6 7 7 7 6 7 8 10 13 14 15 16 16 14 12 11 11 13 13 13 13 11 8 5 4 4 5 6 6 6 7 7 8 8 9 9 8 8 8 9 9 8 8 8 8 7 5 4 3 4 7 10 13 16 18 18 16 13 8 5 4 6 9 13 15 14 11 10 11 12 11 10 9 10 12 11 8 7 8 11 16 18 17 14 11 9 8 9 11 13 14 12 9 8 7 7 6 6 6 6 5 5 4 2 3 5 7 8 7 5 2 -0 1 5 9 12 13 13 11 9 8 7 7 6 7 8 10 12 14 15 15 16 16 14 11 8 8 8 8 8 8 8 7 6 5 4 3 4 5 7 8 10 11 12 14 14 15 15 15 15 15 15 nan
nan 4 6 8 11 12 11 10 11 12 14 16 16 14 14 14 13 12 11 10 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 12 13 15 18 17 15 13 12 14 16 16 15 13 10 6 4 5 7 8 8 7 7 7 8 9 9 9 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 9 11 14 15 13 9 5 3 4 8 11 11 9 7 7 9 10 10 7 5 6 8 10 9 9 9 10 12 13 12 10 8 7 7 10 13 14 14 13 11 10 10 11 10 10 9 10 9 8 6 4 4 4 4 3 2 1 -1 -1 0 3 7 10 12 13 12 10 8 7 7 7 8 8 8 9 11 12 14 16 17 16 12 9 7 7 8 8 8 8 8 7 6 5 4 4 5 7 8 10 11 12 14 15 16 16 15 14 14 14 nan
nan 4 5 8 9 10 10 10 12 14 14 15 15 12 11 10 9 9 10 10 10 8 7 6 6 7 7 8 7 8 10 11 12 11 9 8 9 10 12 14 17 17 15 12 9 11 14 16 17 16 13 10 9 10 13 13 10 8 7 8 9 10 10 8 6 5 6 6 7 7 8 8 8 7 6 7 9 9 6 2 -2 -2 1 6 10 11 10 7 4 5 8 10 9 7 5 5 6 8 9 6 5 7 9 11 11 10 9 8 7 7 5 4 3 3 3 6 10 14 14 12 10 11 13 14 14 14 14 14 13 11 9 9 8 7 6 5 4 3 1 1 2 3 6 9 11 12 12 12 11 11 11 10 10 9 7 7 10 13 15 16 16 14 11 9 7 7 7 7 7 7 7 7 6 5 4 4 6 7 8 9 11 12 14 16 17 16 14 13 13 13 nan
nan 4 3 5 5 6 8 11 13 15 15 15 14 12 8 6 5 6 9 12 11 10 8 7 7 7 8 7 7 8 10 13 13 12 9 7 7 9 11 13 15 15 13 11 9 9 12 15 17 16 14 13 12 14 15 14 10 7 7 9 11 12 11 7 5 4 5 6 6 7 7 8 9 8 7 7 8 9 7 1 -4 -6 -3 1 6 9 11 10 9 9 10 11 10 7 5 4 5 7 8 8 7 9 12 13 12 10 9 7 5 4 2 -0 -2 -2 -1 2 7 12 14 12 11 11 13 14 14 15 15 16 13 12 12 12 11 9 9 8 8 7 5 4 4 6 9 11 11 10 11 11 12 13 13 13 11 9 7 7 11 13 14 14 13 11 10 8 7 7 7 6 6 7 7 7 6 6 6 6 7 8 9 10 11 12 14 16 16 14 13 12 12 12 nan
nan 4 2 2 3 4 7 11 14 15 16 15 13 10 6 3 3 5 8 11 11 9 9 9 9 9 9 10 9 10 12 14 14 12 9 7 7 8 11 13 14 14 12 11 10 12 14 14 14 14 13 12 12 13 13 11 8 6 8 10 12 13 10 6 4 4 5 6 6 5 5 7 9 10 8 6 6 7 8 6 2 0 1 3 6 9 12 13 13 13 13 12 10 8 6 6 8 10 11 11 10 10 11 11 10 10 9 9 9 9 8 5 3 2 3 5 8 12 14 13 13 12 11 10 10 10 11 12 12 12 14 13 12 10 9 9 9 8 7 6 8 11 14 15 14 11 9 8 9 10 11 11 9 8 8 10 13 14 12 12 10 10 9 8 8 8 7 7 7 7 7 8 7 7 7 7 7 8 9 10 11 12 14 15 15 14 13 12 11 11 nan
nan 4 4 4 5 6 8 11 14 15 16 14 11 7 4 3 4 7 10 10 9 8 8 10 12 12 12 12 12 12 13 14 13 11 9 8 8 9 11 13 14 13 12 11 11 13 14 13 12 12 12 12 11 10 9 8 7 7 9 11 13 12 9 6 5 6 7 8 7 6 5 6 7 10 10 8 6 6 8 10 9 8 7 7 7 9 12 14 14 14 13 11 10 8 7 8 10 13 15 15 14 12 12 11 10 9 9 10 12 16 17 16 14 13 12 12 12 11 12 13 14 14 13 11 8 5 4 6 9 13 14 14 11 9 7 8 9 10 12 13 15 16 17 16 14 11 8 6 5 5 6 6 5 5 7 12 15 16 15 13 11 9 8 8 8 8 8 8 8 9 10 11 11 10 8 8 7 8 8 9 10 12 14 15 14 13 12 11 11 11 nan
nan 5 8 10 10 10 10 12 14 16 15 12 9 5 3 3 4 7 10 10 8 7 8 11 14 15 14 13 13 13 13 13 13 12 11 11 11 11 10 10 10 11 11 11 12 13 13 12 10 11 12 13 12 10 8 8 9 10 11 11 12 10 8 7 6 6 7 8 9 10 9 7 7 9 10 10 9 8 9 10 11 11 10 9 9 11 12 13 13 11 9 8 7 6 6 7 8 10 14 16 16 14 14 12 9 7 6 7 12 18 19 19 17 16 15 13 10 7 6 8 11 14 15 14 11 6 3 3 7 11 13 13 11 9 8 8 10 13 17 19 19 18 16 13 11 9 6 4 3 3 2 2 2 3 7 12 14 16 15 14 12 10 9 8 9 9 9 10 10 12 13 14 15 14 12 10 8 8 8 9 10 12 14 15 14 13 12 12 11 11 nan
nan 5 8 11 12 12 11 12 14 16 14 11 8 6 5 3 4 5 7 8 7 6 7 10 13 14 14 13 12 13 12 12 12 13 14 14 13 12 9 7 7 8 10 11 12 12 12 10 10 10 12 14 13 11 9 10 11 11 12 12 11 11 9 8 6 4 4 6 10 12 13 11 9 9 9 10 10 9 9 10 11 11 11 11 11 12 13 12 10 8 6 5 5 4 5 5 6 5 6 9 11 12 12 11 8 5 3 3 9 13 13 12 11 11 10 9 7 4 0 0 5 10 13 15 13 8 5 5 6 9 11 11 12 11 11 11 12 15 17 18 17 15 12 10 8 6 4 4 4 3 2 1 1 3 6 9 11 12 11 11 10 10 10 10 10 9 10 10 11 11 12 14 15 16 14 12 10 8 7 8 10 12 14 15 14 13 12 12 11 11 nan
nan 6 7 10 11 12 12 13 15 16 14 12 10 8 7 5 4 5 6 6 5 4 5 7 9 11 11 11 12 13 12 11 10 11 13 14 13 11 9 7 6 6 8 10 12 12 10 9 8 9 10 13 13 13 12 13 13 13 13 12 12 11 11 9 7 4 3 5 10 14 17 15 11 9 8 8 8 7 7 9 11 12 12 13 13 13 12 11 9 7 5 4 3 4 5 6 6 4 2 3 6 8 9 8 6 3 2 4 7 8 5 4 3 4 5 5 6 5 1 -2 0 5 9 11 10 8 6 6 6 7 9 11 12 13 13 13 13 12 12 12 11 10 8 7 6 7 7 7 7 5 3 1 1 3 5 6 6 6 6 6 8 10 11 10 9 8 8 8 8 9 10 11 13 14 14 13 12 10 8 8 10 12 13 14 14 13 12 11 11 10 nan
nan 8 10 11 12 12 13 15 17 19 18 17 15 13 11 8 6 6 7 7 6 4 4 5 7 8 9 9 10 11 12 10 9 9 10 11 12 11 10 8 7 7 8 10 12 12 11 9 8 7 8 10 12 14 15 15 15 14 13 12 12 11 10 10 9 7 6 6 9 14 18 18 13 9 7 6 5 5 6 9 11 13 13 14 14 13 11 10 9 7 6 5 4 6 8 8 7 5 3 5 7 8 8 7 4 3 3 6 8 6 3 1 1 2 3 5 8 8 6 3 3 4 6 7 7 7 6 6 6 7 10 12 13 14 14 14 12 9 7 5 5 4 4 4 5 7 9 9 8 6 3 1 1 3 3 2 0 -1 -1 1 4 6 7 7 6 6 5 5 5 6 8 10 11 12 12 13 13 12 10 9 10 11 12 13 13 12 11 11 10 9 nan
nan 9 12 13 12 11 11 14 19 23 24 22 20 19 17 15 12 9 8 8 8 7 6 6 7 8 8 7 7 8 8 8 7 7 8 9 11 11 11 10 9 8 8 10 12 13 13 11 8 6 6 8 12 14 15 15 14 14 13 11 9 8 7 9 10 10 9 8 9 11 14 15 13 10 8 7 7 7 9 11 13 14 14 15 14 13 11 9 8 7 7 6 7 9 11 10 8 7 8 10 12 12 10 8 5 4 4 6 7 7 6 5 5 6 7 8 10 10 10 9 8 7 6 5 6 8 8 7 7 7 9 12 13 13 13 13 11 8 5 3 2 2 2 3 5 7 8 8 7 5 2 0 1 2 1 -1 -4 -7 -8 -6 -3 -0 1 3 3 4 4 4 4 5 7 8 9 9 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 nan
nan 6 7 10 12 11 10 10 14 20 22 21 19 19 20 19 17 14 11 10 9 9 8 8 8 7 6 5 5 5 6 6 5 4 4 6 8 10 10 10 10 9 9 10 13 14 14 13 11 8 7 9 13 15 14 13 13 13 12 10 7 5 4 6 8 10 11 11 11 10 11 11 12 11 11 11 11 11 12 13 14 13 14 14 14 13 11 9 7 7 8 9 12 13 14 11 9 9 11 13 14 13 12 10 7 5 6 6 7 8 9 10 11 11 11 11 11 11 11 11 10 8 6 7 8 10 10 9 8 7 8 10 12 12 12 12 12 11 8 6 4 3 3 4 5 7 8 7 6 4 2 2 2 1 0 -2 -4 -8 -10 -9 -7 -5 -2 0 2 3 4 4 4 5 6 7 8 8 8 8 9 10 11 12 12 13 13 13 12 11 10 10 11 11 nan
nan 4 3 7 11 12 10 8 7 10 12 12 12 13 15 18 19 18 16 14 11 9 8 7 6 5 4 5 6 6 6 6 5 3 1 2 5 8 9 10 9 9 9 10 13 14 14 14 13 13 14 14 15 15 13 12 12 12 12 10 7 4 3 5 7 9 12 13 13 12 11 11 10 10 10 10 11 11 12 12 12 12 13 13 13 13 11 9 8 8 11 14 16 17 16 12 7 7 9 10 12 13 12 11 8 7 8 9 8 8 9 10 11 12 13 13 13 13 13 12 10 8 6 7 9 10 11 10 9 8 8 10 11 12 12 12 12 13 12 9 6 4 4 5 8 9 10 8 6 5 6 7 6 4 2 1 -1 -3 -5 -6 -5 -3 -2 0 2 4 5 5 6 6 7 7 8 8 7 7 7 8 9 10 11 11 12 12 12 10 9 10 10 11 nan
nan 6 4 6 10 11 9 6 4 2 3 4 5 8 11 15 18 19 18 16 14 11 9 7 5 4 4 6 8 9 9 7 6 5 3 4 6 7 8 9 9 9 9 10 13 14 13 12 13 16 19 20 19 16 13 12 12 13 13 12 8 5 5 6 8 10 11 13 14 14 14 12 10 8 7 7 8 9 10 10 11 11 12 12 12 11 11 11 11 12 15 17 18 17 14 11 6 4 5 6 8 10 11 10 9 9 10 11 10 10 9 10 12 13 13 13 14 14 13 11 9 6 5 6 8 9 9 9 9 10 10 11 11 12 12 12 12 12 11 8 5 4 4 6 9 11 11 9 6 6 9 11 12 11 9 7 5 3 2 1 1 2 3 4 5 6 6 7 7 8 8 8 8 9 9 8 8 8 8 9 9 9 10 11 10 10 10 10 11 12 nan
nan 10 7 5 6 7 6 3 2 1 1 2 4 6 9 13 16 17 16 15 15 14 12 9 7 6 7 8 10 10 9 8 7 8 8 9 10 9 8 8 8 9 9 11 13 15 13 11 10 12 17 21 21 18 15 12 12 12 12 11 9 7 7 8 10 11 11 12 13 14 13 12 10 8 7 7 8 10 10 11 11 12 12 12 12 12 13 13 14 16 17 17 16 14 12 10 8 5 4 4 4 6 8 9 10 10 11 13 13 13 13 14 14 13 12 12 12 12 11 9 6 5 4 5 6 7 7 7 8 9 10 11 11 12 12 12 11 10 8 4 2 3 6 9 11 10 8 6 5 6 9 12 15 16 16 13 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 12 12 12 nan
nan 10 8 4 2 3 3 2 1 1 2 4 4 5 8 11 13 15 14 15 16 17 15 13 11 10 10 10 10 9 8 7 8 9 11 12 11 10 8 8 8 9 10 12 15 17 15 11 8 7 9 14 17 16 14 12 10 10 10 9 9 9 9 10 11 11 11 11 12 12 11 11 11 10 10 10 10 11 12 12 13 14 16 18 18 18 17 16 16 16 15 14 12 12 12 12 11 7 5 3 3 4 6 9 10 11 11 12 13 14 15 15 14 13 12 11 11 10 9 7 6 5 5 6 6 6 6 6 6 7 8 9 10 11 12 11 11 9 6 2 1 5 9 13 13 10 5 3 4 6 8 11 14 16 16 13 10 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 8 8 8 10 11 12 11 nan
nan 9 9 8 7 7 7 6 4 3 4 5 5 5 7 9 12 13 13 14 15 16 16 14 13 12 12 11 9 8 7 7 8 9 10 10 9 9 8 9 9 10 11 14 17 18 17 13 7 3 3 6 10 11 11 9 8 7 7 8 9 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 13 15 18 21 24 23 21 18 16 14 13 12 11 10 11 13 14 13 10 6 5 4 5 6 9 11 11 11 11 12 13 14 14 13 12 11 10 10 9 8 7 7 6 7 7 7 7 6 6 6 6 7 8 9 9 10 11 10 9 7 4 2 6 10 13 13 9 3 1 2 4 6 8 10 10 10 8 7 8 9 10 11 12 12 12 12 11 10 10 9 9 9 9 10 11 12 12 13 13 12 11 10 9 8 7 6 7 9 10 10 11 nan
nan 8 9 11 14 16 16 14 11 9 7 7 6 6 6 8 10 11 11 11 12 13 13 13 12 12 11 10 9 8 7 7 7 8 8 7 7 7 8 9 10 11 12 13 16 18 18 14 9 3 1 1 4 7 8 7 7 6 7 9 11 11 11 11 11 10 10 8 7 7 7 8 9 10 11 11 11 11 12 13 15 18 20 21 19 16 14 12 12 12 11 11 10 11 13 15 15 13 11 9 8 8 8 10 12 12 11 11 11 12 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 9 8 8 7 6 4 5 7 9 9 8 4 2 2 2 3 5 5 4 3 4 5 7 8 9 10 10 11 11 12 12 11 11 10 9 9 9 11 12 13 14 13 12 10 8 7 7 6 5 5 7 8 9 10 11 nan
nan 9 7 10 15 19 20 19 17 15 13 11 10 8 7 7 8 9 10 9 9 10 10 11 11 10 10 10 9 8 8 7 6 6 6 6 6 6 8 9 10 11 11 11 13 16 17 16 13 7 2 0 2 5 7 7 8 8 9 12 14 13 12 10 10 10 9 8 6 5 5 5 6 7 8 9 10 11 12 13 13 14 15 15 12 9 8 8 10 11 13 13 12 11 12 14 16 16 15 13 11 10 10 11 12 12 12 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 6 5 5 5 6 6 6 6 6 6 6 6 5 3 2 2 4 6 7 8 8 9 9 10 11 12 12 12 12 11 10 11 12 12 12 10 9 6 5 4 5 5 5 5 6 8 9 9 10 11 nan
nan 8 5 6 12 18 21 21 19 18 16 14 12 11 9 7 7 9 10 8 7 8 9 9 9 9 9 9 9 9 8 7 6 5 5 6 7 8 9 10 10 10 10 9 9 12 16 17 15 11 5 2 3 5 7 8 9 10 12 15 16 15 13 11 9 9 10 9 7 5 4 4 5 6 7 8 9 10 10 11 11 11 10 9 7 6 4 5 7 10 13 14 13 11 10 12 14 16 16 15 13 11 10 11 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 6 7 7 8 8 8 8 7 7 6 6 6 7 7 7 6 5 5 4 5 6 8 9 10 10 9 7 5 4 4 5 6 8 8 8 8 8 10 11 13 14 14 14 13 12 12 11 9 7 4 2 0 1 4 5 6 6 7 8 9 9 10 10 11 nan
nan 5 3 4 9 15 19 19 18 16 14 12 12 11 9 7 7 9 10 8 7 7 8 9 9 9 9 9 9 9 8 7 6 5 5 6 7 9 10 11 11 10 9 7 7 10 13 15 15 12 7 4 4 6 8 9 11 12 14 16 16 15 13 11 9 8 9 9 9 7 5 4 6 7 8 8 8 8 9 10 10 9 7 4 3 2 2 4 6 9 11 13 12 11 10 11 13 15 15 14 11 9 9 11 12 12 11 10 9 8 8 9 10 11 10 9 9 8 9 8 8 7 6 6 5 6 6 8 9 9 10 9 8 8 7 7 6 7 7 8 8 7 6 5 4 4 5 6 7 8 9 8 8 7 6 6 7 8 9 10 10 10 10 11 13 14 16 16 15 13 12 10 8 6 3 2 1 1 4 7 8 9 8 8 9 10 10 9 10 10 nan
nan 3 3 3 5 9 12 14 13 12 11 10 10 9 7 7 7 9 9 9 7 7 9 10 11 10 8 8 9 9 8 8 7 6 5 6 7 9 10 11 11 11 9 7 7 9 11 13 13 11 8 6 6 8 9 11 12 12 13 14 14 13 11 9 8 7 7 8 9 7 5 4 6 9 9 7 5 5 7 9 9 8 5 2 1 1 2 4 7 9 10 10 10 11 11 11 13 14 15 14 11 9 10 11 12 12 10 8 6 5 5 7 9 10 10 9 8 8 8 7 6 5 5 4 5 5 7 9 10 11 11 10 9 7 7 6 7 7 7 7 8 8 8 7 5 5 5 5 6 7 7 7 7 8 8 9 10 10 12 14 14 15 15 15 16 16 16 15 13 11 9 7 5 5 4 5 6 8 10 11 11 10 9 9 10 10 10 9 9 10 nan
nan 6 5 4 3 3 5 7 7 8 8 8 7 7 6 6 7 8 8 8 8 8 9 11 11 10 8 8 8 8 8 8 7 6 6 6 7 8 9 10 11 11 10 8 8 8 9 10 10 9 7 6 7 9 12 13 13 13 12 12 11 10 9 7 6 6 6 7 6 5 4 4 6 9 9 6 3 3 7 9 9 7 4 3 4 4 4 5 8 9 10 9 8 9 11 12 13 15 15 13 11 10 12 13 12 11 9 7 4 2 3 4 7 8 9 9 9 9 8 7 6 4 3 3 4 5 8 10 12 13 13 11 10 7 6 6 6 7 8 8 9 9 9 9 8 7 7 7 7 8 8 7 7 8 10 12 13 15 16 18 19 20 20 19 17 16 14 12 9 7 6 6 6 7 8 9 11 13 14 14 13 11 10 10 10 10 9 9 9 9 nan
nan 11 10 7 5 2 2 3 4 6 6 5 5 6 7 8 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 6 5 5 6 7 8 9 9 10 10 9 9 8 8 7 7 7 6 6 8 10 13 14 14 13 12 11 10 9 8 8 7 7 7 6 5 3 3 4 5 8 7 4 3 3 6 9 10 8 4 3 5 6 6 5 6 8 8 7 6 8 10 11 13 14 13 12 11 12 14 14 12 10 8 5 3 1 2 5 7 9 9 8 8 8 8 8 7 6 4 3 4 5 8 10 12 14 14 13 11 9 7 6 6 7 9 10 11 11 11 10 9 8 8 8 8 8 7 6 7 9 12 14 17 19 20 21 21 21 19 17 15 13 11 9 8 7 6 7 8 9 10 11 13 14 15 15 13 11 10 10 9 9 9 9 9 9 nan
nan 16 14 11 8 6 4 4 5 6 6 6 6 8 10 11 11 10 9 8 8 8 7 7 7 7 8 8 8 8 7 7 6 5 5 5 6 6 7 7 7 8 8 9 9 8 7 7 6 6 6 6 8 10 12 12 13 12 11 10 10 10 10 11 10 9 8 6 5 4 4 5 6 7 7 5 4 4 6 8 9 7 4 2 4 5 5 4 4 5 6 6 6 7 9 10 11 12 11 10 11 12 14 13 11 8 6 4 3 3 5 9 11 12 11 9 7 6 7 8 9 8 6 5 5 7 9 12 14 14 15 14 13 11 9 9 9 9 10 11 12 12 11 10 9 8 8 8 7 7 7 7 8 10 12 14 15 17 19 18 16 14 12 10 9 8 8 7 7 7 7 8 9 10 10 11 12 13 14 14 12 11 10 9 9 8 8 8 8 9 nan
nan 15 15 14 13 12 10 8 7 7 8 9 9 10 11 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 6 6 4 4 3 5 6 7 7 7 6 7 7 7 8 7 7 7 6 6 6 6 8 9 10 10 10 10 10 9 9 10 11 11 10 9 7 6 6 6 6 7 8 9 9 9 7 6 6 7 8 7 5 3 4 4 4 3 3 3 3 4 5 6 8 10 11 11 10 10 11 12 12 11 9 7 5 4 3 5 9 12 15 17 15 11 8 6 6 7 8 8 7 6 7 11 15 18 19 19 18 17 15 13 13 13 13 13 12 11 11 11 10 10 9 9 8 8 7 7 8 9 10 11 10 10 10 12 13 12 9 6 4 3 3 4 4 5 5 6 7 8 9 10 10 10 11 11 11 12 12 11 10 8 8 7 7 7 8 9 nan
nan 12 14 16 17 16 14 11 8 7 7 9 10 9 9 9 9 8 8 8 7 7 8 8 9 9 8 7 7 7 7 5 3 2 3 6 8 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 8 8 7 7 7 7 7 8 7 7 7 7 6 6 7 8 9 11 13 14 13 12 10 9 8 7 7 6 6 6 6 5 5 4 4 3 3 3 5 7 10 11 12 13 13 13 13 12 10 8 6 5 4 4 6 9 13 17 19 18 13 9 6 5 5 5 5 5 6 10 15 20 24 26 25 23 20 17 15 14 14 14 13 12 11 11 11 11 11 11 10 9 8 7 6 6 7 7 8 8 8 9 10 9 7 4 2 1 1 2 2 3 4 5 6 7 9 10 11 11 11 10 9 8 8 10 10 9 8 7 7 7 8 9 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
67 63 59 54 52 54 59 67 77 84 91 105 128 158 179 195 202 217 245 282 317 339 359 331 259 200 180 186 198 208 228 253 264 255 244 252 282 321 358 365 330 242 170 122 95 81 74 74 98 127 151 153 136 114 106 118 145 166 157 144 119 89 73 68 60 50 21 10 11 16 21 24 24 22 14 3 2 8 28 49 64 75 79 81 88 72 62 55 49 49 52 56 69 87 96 89 75 64 62 60 46 24 8 0 0 0 0 0 0 0 0 0 0 2 10 30 42 35 17 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 1 2 1 1 1 4 11 21 35 67 128 205 252 274 286 194 76 67 69 47 34 14 6 6 5 5 3 10 60 236
65 60 54 51 50 50 51 56 66 78 93 109 129 149 162 162 170 190 223 276 353 443 499 462 344 253 224 215 216 227 255 293 318 308 276 248 248 286 352 416 425 329 224 150 109 88 90 110 132 151 167 157 127 103 97 109 135 159 159 157 117 85 78 74 62 42 10 2 4 5 5 6 5 3 3 2 5 21 56 77 84 92 98 104 112 112 105 88 75 70 63 62 73 89 95 85 71 71 84 89 71 43 19 1 0 0 0 0 0 0 0 0 0 0 7 27 33 22 7 0 0 0 0 0 0 1 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 1 0 0 0 0 2 5 12 24 48 78 136 205 264 224 155 165 200 211 208 118 47 25 16 10 17 60 171 364
70 62 55 53 54 57 64 76 92 108 119 135 152 164 166 163 163 172 193 235 338 494 578 524 398 283 262 255 250 255 275 308 336 343 317 269 244 274 347 428 461 394 255 164 120 96 114 138 149 155 155 140 116 101 95 98 105 113 120 126 113 90 88 77 54 28 7 1 1 2 2 2 3 1 0 2 11 34 70 80 76 83 91 102 118 131 136 120 106 95 80 70 73 84 90 83 69 68 87 98 87 61 32 7 0 0 0 0 0 0 0 0 0 1 5 18 22 11 3 0 0 0 0 0 2 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 10 27 9 32 120 237 270 250 261 319 376 437 394 268 162 90 60 84 169 311 489
79 66 54 51 53 63 85 111 136 163 172 185 213 227 235 235 222 207 197 210 292 445 542 509 389 279 259 270 275 277 287 308 336 355 342 295 259 288 361 440 473 426 302 177 128 101 121 130 143 150 144 132 122 103 86 82 84 94 111 122 106 89 81 59 27 7 1 0 0 0 0 0 0 0 0 2 12 29 50 60 63 76 80 89 107 126 140 137 125 115 101 87 78 73 73 74 71 69 82 89 86 61 34 14 3 0 0 0 0 0 0 0 0 2 8 20 22 7 1 0 0 0 0 1 4 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 1 1 1 5 14 2 12 48 171 247 258 259 290 350 439 502 466 351 241 188 216 310 444 593
86 68 54 48 52 69 101 131 160 186 194 215 257 264 268 276 269 252 231 233 304 451 544 491 357 261 252 276 290 288 296 312 337 354 345 314 292 321 392 452 483 456 350 210 138 98 110 123 140 146 139 124 106 87 73 67 65 69 70 71 76 68 61 28 8 1 0 0 0 0 0 0 0 0 0 0 5 16 34 55 68 76 81 89 101 116 128 133 130 124 113 93 75 63 64 74 83 84 84 66 65 47 30 15 5 1 0 0 0 0 0 0 0 3 11 22 21 3 0 0 0 0 0 3 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 1 0 0 1 1 3 11 19 5 7 18 80 131 151 165 209 300 424 534 561 474 367 322 359 446 551 657
79 62 50 46 57 78 106 129 143 155 168 192 227 224 207 220 246 251 237 238 310 467 563 460 321 249 245 266 283 284 295 316 336 346 343 332 334 365 424 470 501 474 369 243 155 113 107 137 153 135 114 95 75 65 66 67 66 66 68 69 63 54 41 10 1 0 0 0 0 0 0 0 0 0 0 0 6 32 66 89 99 102 101 104 111 116 121 126 127 123 114 88 62 59 70 89 100 100 89 58 51 37 26 15 5 1 0 0 0 0 0 0 1 2 7 13 12 0 0 0 0 0 1 5 9 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 1 6 2 0 0 7 7 5 5 1 2 11 35 51 57 77 140 254 402 543 633 581 488 460 496 560 635 710
62 51 45 49 63 84 104 118 119 123 131 143 158 163 158 158 192 213 207 205 258 375 461 363 273 236 248 255 255 263 281 306 328 341 345 350 366 400 443 477 486 430 338 238 170 132 115 133 143 116 89 77 73 76 82 85 83 77 72 67 57 45 26 4 0 0 0 0 0 0 0 0 0 0 0 0 17 91 154 176 171 164 146 148 150 145 140 138 137 129 110 83 59 61 81 98 99 90 75 54 52 34 28 18 7 1 0 0 0 0 1 1 1 3 6 8 7 1 0 0 0 0 0 5 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 4 15 13 3 0 3 2 1 0 0 0 3 14 22 24 38 89 199 353 508 646 665 607 590 606 643 698 756
48 44 46 55 69 85 100 107 107 102 107 104 113 136 156 144 142 163 169 171 215 298 337 278 241 232 240 241 240 247 263 285 309 334 352 367 388 420 450 456 421 355 291 227 169 142 137 132 117 98 86 87 99 112 116 114 107 95 81 71 57 36 15 2 0 0 0 0 0 0 0 0 0 0 0 2 24 125 188 212 218 209 192 206 222 212 196 177 157 133 104 79 67 70 95 96 87 76 63 55 55 39 37 26 10 2 0 0 0 1 2 3 4 10 21 24 18 7 0 0 0 0 0 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 1 8 23 32 8 1 0 0 0 0 0 0 0 4 11 17 33 81 200 372 534 646 685 695 695 698 708 741 787
45 47 56 68 83 96 105 113 119 122 126 105 101 120 133 128 123 131 139 143 162 202 232 229 227 234 244 262 243 241 252 269 295 329 359 380 402 428 432 391 321 269 243 264 217 185 151 125 108 99 100 110 125 134 138 136 127 112 94 80 39 18 6 1 0 0 0 0 0 0 0 0 0 0 1 8 29 90 125 153 181 194 197 214 248 266 260 234 186 133 92 73 72 86 107 93 85 76 63 60 60 47 39 32 13 3 1 0 0 2 3 3 5 16 41 55 49 29 8 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 3 10 24 42 15 2 0 0 0 0 0 0 0 1 5 13 36 104 238 418 571 647 662 706 728 736 740 761 794
51 56 69 83 96 107 114 125 145 173 178 138 110 112 119 127 131 128 126 132 143 163 187 200 214 235 258 269 236 231 244 258 283 319 356 387 417 427 386 302 258 244 238 268 263 221 168 132 113 107 110 120 132 142 144 143 137 119 94 70 25 4 1 0 0 0 0 0 0 0 0 0 0 0 1 8 24 48 81 124 164 189 190 193 213 240 257 257 215 146 93 72 77 95 110 102 92 82 69 70 59 42 38 30 13 3 1 2 4 4 4 3 4 11 33 56 67 60 29 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 2 5 15 28 16 3 0 0 0 0 0 0 0 0 2 9 35 124 260 458 630 674 663 681 707 724 746 772 800
57 64 77 90 98 104 109 119 142 171 172 148 137 136 158 172 163 140 127 131 144 161 182 196 214 232 249 250 221 208 225 243 273 309 352 395 423 399 300 209 215 249 256 246 242 216 162 126 118 117 119 124 133 144 149 146 140 117 80 38 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 51 104 169 199 211 203 182 166 164 179 206 218 170 105 79 85 102 114 115 104 91 73 72 60 49 45 35 14 2 1 3 4 5 5 4 4 5 9 17 33 55 34 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 2 6 6 2 0 0 0 0 0 0 0 0 2 7 48 157 299 490 654 702 681 693 725 743 770 782 780
61 70 83 94 99 99 100 102 115 132 138 145 162 185 221 229 177 138 123 129 145 160 179 200 219 224 227 220 198 181 193 226 263 304 357 403 402 332 218 155 188 257 278 262 236 207 158 121 121 125 128 135 144 147 145 139 127 93 40 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 39 92 147 193 205 204 198 179 150 120 104 121 160 164 105 85 95 108 118 124 118 105 81 72 67 65 59 43 19 5 3 4 6 8 8 6 5 5 5 4 4 25 15 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 2 6 67 200 362 503 613 678 695 710 749 769 795 780 750
63 75 87 95 97 98 99 101 107 122 124 143 164 189 209 192 147 118 115 125 145 168 186 204 221 220 204 201 182 169 185 218 249 302 366 387 335 234 151 149 201 287 295 265 212 161 122 111 115 121 126 133 139 140 133 118 96 54 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 73 126 154 160 148 130 135 154 148 106 64 54 82 111 95 89 98 107 118 127 126 109 84 78 78 79 69 45 20 6 4 5 5 7 8 8 7 6 4 3 2 8 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 1 8 70 241 435 569 643 687 721 749 773 764 779 745 704
66 76 87 98 101 104 108 114 120 127 126 136 133 133 122 106 102 103 114 128 149 172 191 208 221 224 201 220 206 193 198 218 249 305 361 344 254 151 107 141 230 333 296 225 154 118 110 109 112 119 128 140 151 149 131 101 62 17 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 74 111 118 101 78 63 75 108 105 66 28 15 28 55 82 96 100 107 117 128 127 108 89 86 85 80 65 39 15 4 3 4 4 4 7 10 10 9 8 4 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 10 77 273 488 629 706 743 767 794 813 757 734 706 659
70 81 91 102 109 114 121 130 141 150 142 128 99 93 88 83 92 102 105 119 144 173 200 222 231 221 205 222 235 224 216 227 265 315 343 315 234 167 150 183 276 348 271 153 115 109 113 117 122 129 140 153 162 158 133 92 42 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 40 63 62 46 27 23 42 64 45 17 6 6 17 44 82 112 113 108 112 127 127 109 92 86 79 70 52 28 9 2 1 1 0 1 3 6 7 8 8 5 3 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 2 25 120 325 536 674 757 792 801 817 831 756 677 645 611
80 90 99 108 116 124 129 132 131 130 122 103 83 86 90 89 87 82 80 99 135 171 205 239 260 263 252 247 256 252 241 260 302 338 346 321 282 257 247 251 286 290 216 125 109 109 115 124 132 140 149 156 158 152 133 93 42 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 22 26 18 8 2 11 27 31 16 2 4 10 25 51 91 126 129 113 104 116 113 96 85 84 78 67 48 25 9 3 1 1 2 2 3 3 3 3 4 4 5 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 1 20 89 231 421 588 716 805 821 789 768 767 724 659 633 596
92 100 109 119 126 129 127 125 121 111 97 85 84 92 97 91 76 67 81 105 133 158 184 224 269 309 335 339 331 318 305 329 369 391 390 372 358 355 344 312 275 218 158 119 114 118 127 137 144 150 157 160 159 154 142 109 62 33 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 9 3 1 0 5 7 5 4 4 8 14 29 57 96 129 134 116 101 97 90 81 78 76 72 69 55 28 9 3 2 2 3 3 2 3 2 2 3 4 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 4 27 103 249 416 520 635 736 804 783 719 674 666 667 668 671 662
96 104 111 120 126 125 119 115 112 106 90 84 97 108 104 89 78 80 101 109 105 106 131 176 232 295 367 420 437 438 443 465 493 498 461 423 402 387 353 289 230 165 135 125 127 135 143 150 154 159 164 167 166 160 142 107 63 39 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 1 2 5 9 17 35 70 106 140 146 126 107 94 85 81 78 73 72 70 56 29 8 1 0 2 6 7 3 2 3 7 8 9 7 3 1 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 0 0 2 26 109 278 482 618 640 693 769 777 722 659 628 626 636 666 706 723
101 105 110 117 122 117 112 108 102 92 82 84 106 105 93 87 92 98 109 91 74 78 100 131 172 228 293 368 417 464 508 538 545 523 462 405 364 332 287 226 184 132 132 130 137 144 149 153 154 158 165 169 169 158 125 74 26 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 20 43 83 114 151 160 146 126 109 95 86 75 67 68 69 54 28 7 0 1 0 1 2 3 6 11 14 16 17 13 6 1 2 7 14 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 13 75 232 463 666 747 726 742 786 744 684 648 643 640 625 625 652 672
101 104 109 112 115 109 104 101 96 89 85 90 105 91 85 90 101 106 104 86 72 71 85 106 129 157 196 251 297 349 387 399 406 435 425 361 297 263 244 206 157 136 140 136 145 152 152 152 153 159 169 171 161 137 98 47 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 23 51 91 123 155 172 162 143 125 108 91 76 71 72 63 43 20 4 0 0 0 1 4 9 15 19 19 23 24 17 8 2 2 10 21 22 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 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 1 1 4 27 136 347 560 731 787 744 726 739 717 678 660 662 658 641 631 639 641
96 99 105 106 103 101 99 95 92 89 89 95 102 90 97 107 112 108 98 87 78 68 75 95 111 118 123 148 182 210 245 263 286 322 337 315 272 243 232 200 169 164 165 161 162 166 167 168 173 181 189 185 165 137 93 45 11 0 0 0 0 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 7 26 60 101 137 160 186 178 155 133 115 97 83 82 78 58 34 12 1 0 0 0 2 7 14 20 22 22 25 24 15 7 3 3 10 17 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 5 35 175 414 584 719 780 747 687 667 678 682 674 669 674 675 663 642 603
89 96 104 108 105 100 96 93 88 87 90 94 95 94 102 105 110 107 98 86 74 62 64 82 93 97 101 104 109 118 156 185 196 202 222 248 256 230 202 201 199 190 185 184 174 179 182 189 199 209 214 207 186 150 94 39 9 0 0 0 0 0 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 25 66 104 130 155 173 178 158 135 113 91 75 68 61 43 24 8 1 0 0 2 4 15 23 25 23 21 21 20 12 7 9 13 12 7 3 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 1 1 7 38 163 432 576 677 744 747 690 637 635 675 697 691 689 695 684 645 590
88 98 104 113 106 98 93 89 84 85 89 89 89 94 103 104 112 111 101 85 71 62 64 75 82 83 90 90 85 81 89 103 109 132 162 199 225 214 187 210 209 199 197 198 197 206 202 206 213 223 228 223 205 168 101 25 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 2 18 70 108 129 153 161 181 169 138 102 74 61 55 44 30 20 6 1 1 3 9 17 19 27 25 20 17 17 16 12 8 10 10 5 2 0 0 0 0 0 0 2 4 5 7 7 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 1 1 5 30 126 402 551 629 693 732 717 664 631 669 726 722 706 704 697 655 587
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99 100 104 104 99 96 90 83 81 82 84 85 94 102 109 117 121 115 102 74 60 59 63 68 76 88 101 109 116 118 113 108 106 107 142 197 225 228 225 224 219 229 221 219 211 207 217 236 252 255 244 226 196 139 63 2 4 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 3 41 108 142 151 165 189 188 154 103 66 45 31 21 14 8 10 10 13 30 38 33 26 23 19 20 24 26 24 19 13 8 0 0 0 0 0 0 1 3 15 29 37 38 34 33 36 40 36 23 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 1 1 1 16 88 283 479 574 622 678 737 757 729 715 779 784 765 747 730 699 653
98 98 99 101 99 96 87 79 77 78 80 88 101 109 117 121 125 121 108 86 67 65 65 65 70 79 90 102 111 124 136 144 149 161 190 225 234 231 232 233 236 241 224 219 217 226 246 269 285 282 254 201 136 69 21 1 2 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 2 12 101 148 165 175 181 173 139 93 58 39 28 20 19 19 15 20 21 39 43 38 30 23 21 25 31 42 51 47 29 10 0 0 0 0 0 0 1 6 19 36 46 47 45 47 55 65 60 39 17 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 1 1 1 13 69 212 409 552 618 658 703 737 743 744 767 774 762 745 732 713 683
93 89 92 98 96 90 81 73 71 74 78 87 100 110 117 115 120 122 118 104 82 68 65 63 63 66 73 87 101 111 133 154 171 186 198 211 220 230 240 235 239 242 232 230 228 247 276 303 314 297 244 151 56 13 2 0 1 0 1 1 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 16 103 190 207 193 174 151 119 81 49 29 24 27 27 19 12 20 24 39 47 48 38 28 28 38 51 71 84 80 45 4 0 0 0 0 0 1 2 7 18 37 57 63 66 71 83 94 87 68 37 12 2 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 1 1 1 9 47 145 314 502 604 638 654 677 705 730 737 741 728 714 706 697 683
84 82 83 91 89 82 74 69 65 68 77 85 93 102 110 112 117 116 119 116 102 81 68 61 59 62 66 77 92 105 125 157 177 182 181 190 207 226 237 239 248 245 241 244 248 277 312 338 340 302 219 107 16 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 14 16 12 5 1 0 1 36 139 255 269 231 198 165 121 74 41 23 22 20 12 10 11 16 26 42 55 55 43 29 28 45 73 95 71 46 19 0 0 0 0 0 0 1 3 8 19 36 58 81 98 107 117 126 126 108 67 23 5 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 26 87 214 401 539 585 592 609 644 675 686 690 676 659 650 649 647
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73 79 86 89 81 76 72 68 66 65 64 64 69 80 87 94 99 97 90 99 98 93 84 74 65 61 61 73 93 103 103 105 109 135 183 195 199 209 226 247 260 254 268 298 330 359 380 382 355 287 184 80 15 0 0 0 0 0 0 0 0 0 0 0 1 3 4 1 0 0 0 0 0 0 0 0 0 2 21 60 98 110 94 72 73 85 121 146 224 311 355 355 345 323 256 160 77 32 24 34 24 14 7 6 9 17 28 28 20 15 14 17 21 24 20 0 0 1 1 0 0 0 0 0 0 0 2 13 35 69 109 146 162 176 184 177 145 88 28 2 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 3 21 75 184 322 395 445 473 493 513 532 541 534 519 507 500 500
68 76 86 87 81 76 73 69 66 63 61 59 60 67 79 81 81 82 84 89 84 83 81 77 68 55 46 52 63 87 99 110 126 159 213 214 204 211 229 249 263 266 281 327 358 376 375 344 285 209 128 57 14 0 1 0 0 1 0 0 0 0 0 0 2 14 23 12 0 0 0 0 0 0 0 0 5 17 46 90 124 118 71 34 50 109 219 302 397 444 449 426 394 352 267 159 78 38 36 46 32 26 20 15 17 24 30 32 30 25 18 10 6 4 2 0 1 8 6 3 1 1 1 1 0 0 7 32 68 103 131 145 163 185 192 175 131 72 21 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 40 117 214 289 358 399 422 438 452 459 457 444 429 418 416
70 76 86 87 81 76 73 68 67 67 62 56 54 56 60 62 63 65 67 67 67 70 67 70 66 49 35 37 50 81 102 130 156 181 202 211 212 222 237 257 273 275 280 344 367 366 327 250 161 90 46 20 5 0 0 0 1 1 0 0 0 0 0 0 2 15 30 12 0 0 0 0 0 0 0 2 12 31 59 91 116 108 52 12 20 94 246 394 481 487 466 438 399 341 256 152 84 51 44 45 36 20 31 44 54 57 58 57 51 35 13 3 0 0 1 4 10 18 13 7 5 4 3 1 0 3 24 80 130 151 142 128 142 175 187 162 111 54 14 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 23 66 131 199 266 318 350 365 371 373 369 357 340 323 308
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65 70 67 70 83 84 73 70 68 66 64 66 66 65 65 63 55 44 34 28 24 21 18 17 21 23 18 7 13 48 92 115 126 149 173 195 213 235 266 299 326 366 364 408 419 341 287 183 135 114 82 36 0 0 0 0 0 0 0 0 0 0 0 3 5 2 0 0 0 0 0 2 4 4 1 0 0 11 30 45 52 49 40 47 87 156 276 360 363 379 462 517 493 423 349 267 178 111 101 157 178 172 165 167 150 102 53 20 4 0 0 1 5 14 22 27 26 24 26 36 44 45 39 24 16 22 45 76 104 89 74 69 71 74 76 58 32 23 19 10 0 0 0 0 0 0 0 0 1 1 1 5 12 17 14 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 4 8 19 38 63 79 83 83 82 80 77 72 68 63
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50 55 45 44 52 65 72 69 64 65 67 68 69 70 70 66 55 45 37 27 18 6 1 0 0 0 1 1 2 10 27 55 85 128 188 253 273 275 297 320 280 168 70 37 21 9 3 8 15 20 13 4 0 0 0 0 0 0 0 0 1 15 44 54 24 6 0 0 0 0 0 13 19 15 7 2 0 1 6 19 30 38 47 57 68 105 162 179 149 118 140 228 360 471 472 434 379 316 287 299 281 255 229 192 136 82 56 47 41 26 12 5 5 7 9 11 12 16 29 50 67 61 46 38 28 19 12 11 16 11 8 10 16 20 19 15 12 18 23 10 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 1 1 2 5 5 5 7 8 8 8 8
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