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
nan 8 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 7 7 6 7 8 9 11 11 11 10 10 11 13 14 14 12 10 8 8 9 13 16 15 12 11 13 16 17 15 12 11 12 11 9 8 7 5 3 2 3 5 5 6 6 7 7 8 8 9 10 10 10 12 12 12 9 6 4 4 5 5 5 7 8 9 9 10 9 9 8 6 5 4 4 6 8 9 9 9 9 7 5 4 5 5 4 3 3 4 7 9 9 7 6 8 10 9 8 10 14 16 17 16 14 13 11 9 7 7 6 7 7 8 10 12 12 9 5 3 3 3 1 1 4 9 11 7 2 -2 -2 2 4 4 2 0 2 4 4 5 6 7 8 9 12 14 16 17 18 18 19 20 18 nan
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nan 8 10 8 4 3 3 5 7 10 12 13 14 14 14 13 11 10 8 7 7 10 12 13 11 9 7 5 4 5 7 8 8 8 8 9 9 10 10 11 11 12 12 12 11 9 8 10 11 9 6 5 5 7 7 7 8 9 11 9 5 4 6 10 14 16 17 18 17 13 10 9 9 10 11 12 13 12 9 7 6 8 11 14 15 14 12 9 8 9 11 12 12 12 11 12 13 13 11 9 9 9 8 7 6 7 9 9 8 5 4 6 10 14 16 13 9 7 7 8 12 16 19 17 12 8 9 12 13 10 7 3 2 2 3 4 7 10 12 12 10 6 3 -0 -2 -1 1 4 6 7 8 10 11 12 11 10 9 8 8 8 6 2 -1 1 6 10 12 11 10 10 9 9 10 11 11 11 12 13 13 12 11 11 11 11 11 10 10 9 9 9 nan
nan 7 8 7 4 2 3 6 9 11 12 13 14 14 14 12 10 8 7 8 10 12 13 13 11 8 7 6 5 5 7 8 8 8 8 8 9 10 10 11 12 13 13 12 12 10 9 9 9 8 6 6 7 7 7 6 6 8 10 9 6 4 4 7 11 14 16 16 16 14 12 12 13 13 12 10 10 10 9 8 7 8 11 13 14 14 12 10 10 10 11 11 9 8 8 12 15 15 13 10 8 8 7 6 3 2 4 5 6 5 5 8 12 15 16 13 7 3 2 3 7 12 17 17 14 13 17 22 22 15 8 2 -2 -2 -1 1 3 5 8 9 8 6 4 2 0 2 4 6 7 8 8 9 11 13 13 13 11 10 9 8 6 3 1 2 6 9 11 11 11 10 9 10 10 11 11 11 12 12 11 11 11 11 11 11 11 10 10 9 9 8 nan
nan 5 6 5 3 1 3 7 11 13 14 14 15 14 13 11 9 7 7 8 11 13 13 12 10 8 7 7 6 6 7 7 7 7 7 7 8 9 10 11 12 12 12 12 11 10 9 9 9 8 7 7 7 8 7 6 5 7 8 8 7 6 6 7 8 9 11 11 11 11 12 14 15 14 12 9 9 9 9 8 8 8 9 10 12 14 15 15 13 11 10 9 7 5 5 9 14 16 15 12 10 8 7 4 -0 -3 -1 1 3 5 7 10 13 16 16 12 6 1 -2 -1 1 6 13 18 18 19 22 25 24 17 11 6 3 3 3 3 3 3 5 6 7 8 8 8 7 8 8 8 8 7 7 7 11 14 16 16 15 13 12 11 10 8 6 6 7 9 10 11 10 9 9 10 10 10 10 11 11 11 11 10 11 11 12 12 11 11 10 9 8 7 nan
nan 6 6 4 2 1 4 8 12 14 15 15 15 14 12 10 8 7 7 9 12 12 12 11 9 7 6 6 5 5 6 6 6 6 6 6 8 8 9 10 12 12 12 12 11 11 10 10 8 7 7 7 7 8 8 6 6 6 5 6 7 9 9 8 7 6 7 8 8 9 11 13 14 14 11 8 7 7 7 7 7 7 8 8 10 14 17 17 16 13 10 8 6 5 4 8 13 15 15 15 13 10 7 4 0 -3 -4 -2 1 4 7 10 13 15 15 12 8 3 -1 -2 -1 2 8 16 20 21 21 18 16 13 12 12 12 12 12 10 9 8 8 8 10 12 13 13 13 12 11 9 7 6 5 8 13 17 18 18 17 15 14 14 14 13 10 8 8 9 10 10 9 8 9 9 10 9 10 11 11 11 11 11 11 12 12 12 12 11 10 9 8 7 nan
nan 7 6 3 0 2 5 9 12 14 15 15 15 13 11 9 8 8 10 12 13 13 12 10 8 6 5 4 4 5 6 6 6 5 5 5 7 8 9 10 12 13 13 13 12 12 12 10 8 6 6 6 7 8 8 8 8 6 4 5 7 9 10 8 7 7 8 8 8 9 10 10 11 11 10 8 7 6 6 6 7 7 8 8 9 12 15 16 15 13 11 9 7 6 6 9 13 14 15 14 13 11 8 6 5 3 1 0 2 5 9 11 13 14 13 11 9 7 4 2 1 1 5 11 16 17 15 10 6 5 7 11 14 16 18 17 16 14 14 14 14 14 13 12 12 12 11 9 7 5 5 7 13 16 16 16 15 14 15 16 16 15 11 8 8 8 8 9 8 8 9 9 9 9 10 12 12 12 12 12 12 13 13 13 12 11 11 10 9 8 nan
nan 7 5 2 0 3 6 10 14 16 17 17 16 14 12 11 11 12 13 14 14 14 12 9 7 6 5 4 4 5 6 7 6 5 4 5 7 8 9 10 12 12 13 12 12 12 12 9 7 6 6 7 8 8 9 10 10 8 6 5 7 8 9 8 8 9 10 10 10 10 9 9 8 9 9 9 8 7 7 8 8 8 8 8 9 11 13 14 13 12 11 10 9 9 9 11 13 13 12 12 12 13 11 9 10 11 10 10 10 11 13 14 14 12 10 10 10 10 9 7 5 4 4 6 8 10 9 6 3 1 2 5 9 13 17 19 17 16 15 14 14 13 13 12 12 11 11 9 7 6 4 5 8 10 11 12 13 14 15 17 18 16 12 9 8 8 8 8 9 9 9 9 9 9 11 13 14 14 14 14 15 15 14 14 13 12 12 11 10 9 nan
nan 6 4 2 1 4 9 12 15 17 18 18 16 15 15 15 15 15 15 15 14 12 10 8 7 7 6 6 5 6 7 7 6 5 4 5 7 9 11 11 11 10 10 10 10 10 9 8 6 6 6 7 8 9 9 9 9 8 7 7 7 8 8 8 8 11 13 13 12 10 9 9 8 8 9 9 9 9 9 10 10 9 7 7 8 10 12 13 12 11 10 10 11 11 10 9 10 9 8 8 10 13 15 13 13 14 15 17 18 18 16 15 14 12 9 9 11 13 13 11 9 8 7 6 5 5 5 5 5 4 1 -0 1 6 11 14 13 11 8 6 7 10 13 15 14 13 12 11 9 7 5 5 5 6 8 9 11 12 14 16 17 16 13 10 8 8 8 9 9 10 10 10 10 10 10 12 14 14 15 15 16 17 16 15 14 13 13 12 11 10 nan
nan 6 3 2 3 6 10 13 16 17 18 17 16 16 17 17 18 17 15 13 12 10 9 7 7 7 7 6 5 6 7 7 6 5 5 6 8 11 13 13 11 10 8 8 9 9 8 7 6 6 6 7 7 8 8 8 8 7 7 7 7 8 8 9 9 11 14 14 13 11 10 9 9 9 9 9 9 9 10 11 11 8 5 4 5 8 11 12 12 11 10 10 11 11 9 7 6 6 5 5 7 10 13 14 13 13 15 16 17 17 15 13 12 12 11 11 12 13 14 14 13 12 11 10 9 8 7 8 8 9 6 1 -1 1 4 6 5 3 -0 -2 -1 3 9 13 14 14 13 12 11 9 7 6 5 6 6 7 7 8 10 14 16 15 13 11 9 7 8 9 10 11 11 11 11 11 11 11 12 13 14 15 16 17 17 16 15 15 14 13 12 11 nan
nan 6 3 1 3 5 9 12 15 17 17 16 15 14 15 15 15 14 13 11 10 8 7 6 6 6 6 6 5 6 6 7 7 7 7 7 9 11 14 16 14 11 9 8 9 10 9 7 6 5 5 6 7 7 7 8 7 7 7 7 7 7 8 9 9 11 13 14 13 11 10 9 9 9 9 10 10 9 9 9 8 7 5 4 6 8 10 12 12 11 10 10 11 10 9 7 6 4 4 5 5 7 9 10 10 11 12 12 12 11 10 10 11 12 12 11 11 11 12 13 13 13 13 14 14 13 13 13 13 12 10 6 3 3 2 2 1 -1 -3 -3 -3 -2 2 7 10 11 12 13 13 11 10 9 8 7 6 6 6 7 10 13 14 14 12 10 8 7 7 8 10 11 11 12 12 12 11 10 10 11 13 14 15 15 15 16 16 15 15 14 13 12 nan
nan 5 3 2 3 6 10 13 15 17 17 16 14 11 10 10 10 10 10 9 8 7 7 6 5 5 5 5 6 6 7 7 7 8 8 7 7 9 13 17 17 15 13 12 12 13 11 8 6 5 5 6 8 9 9 9 8 7 7 7 6 6 7 8 9 10 12 13 13 11 9 8 8 8 8 9 9 9 8 7 6 6 6 7 10 11 12 13 12 12 10 9 9 9 10 9 8 7 6 7 8 8 8 8 8 9 10 10 10 9 9 10 13 14 12 10 8 8 9 11 12 13 14 15 16 16 16 16 15 13 12 11 8 7 6 5 4 3 2 1 -0 -1 -1 2 7 10 12 13 14 13 12 11 9 7 5 5 7 10 12 13 12 11 10 8 7 7 7 8 10 11 11 12 12 12 11 10 9 10 13 13 13 12 13 14 15 15 15 15 14 13 nan
nan 3 2 2 5 9 12 15 17 17 17 16 13 10 7 7 7 8 9 9 9 8 8 7 7 6 5 6 7 7 7 7 8 8 7 7 5 5 9 14 17 17 16 15 15 16 15 12 9 7 7 8 10 11 11 10 9 8 7 7 7 7 7 8 9 10 11 13 13 12 10 8 7 7 6 6 7 7 7 7 6 6 8 11 14 15 15 15 14 12 10 8 8 10 11 11 10 8 8 10 11 10 9 8 7 8 9 9 9 9 9 12 14 15 13 10 7 6 7 9 10 11 12 12 13 13 15 15 13 13 14 14 12 10 9 8 8 8 8 7 6 4 3 4 7 9 11 13 13 12 11 10 8 6 4 4 7 9 10 10 10 9 8 7 7 7 8 9 10 11 12 13 12 12 11 10 10 11 12 13 12 11 10 12 13 14 14 14 13 13 nan
nan 2 0 2 6 11 14 16 17 18 18 16 13 9 7 6 6 7 9 10 10 9 9 8 8 7 6 7 8 8 8 7 7 8 7 7 5 3 4 8 12 14 14 15 16 17 18 15 12 11 10 10 10 11 11 11 10 9 8 8 8 8 8 7 8 9 11 13 13 13 12 10 8 6 5 5 5 6 6 7 7 7 9 13 16 17 17 15 13 12 10 9 10 11 11 10 8 8 10 13 14 12 9 7 6 6 6 6 7 7 8 10 12 13 12 10 7 6 6 7 8 9 9 8 7 7 9 11 12 13 15 15 14 11 10 9 8 8 9 10 11 12 12 11 11 10 10 11 10 10 9 7 6 5 5 6 7 7 8 9 10 10 9 7 7 8 9 10 11 13 14 14 13 12 11 11 10 11 12 13 12 11 10 10 11 12 12 12 12 12 nan
nan 0 -0 2 7 11 15 17 17 17 17 14 10 8 6 6 8 9 10 11 10 9 8 8 8 8 8 8 8 9 8 8 7 7 9 9 9 7 5 5 7 9 10 12 14 16 17 15 13 12 11 11 10 10 10 11 10 10 9 9 9 9 8 7 8 9 11 13 14 15 14 11 8 6 6 6 7 7 7 8 8 7 9 12 15 16 15 12 10 8 9 9 10 10 9 7 6 8 11 14 15 14 10 7 6 5 4 4 4 7 8 9 9 9 9 8 7 6 5 6 7 9 9 7 4 2 2 5 9 13 14 14 13 11 10 9 8 8 9 12 15 17 18 17 15 12 9 7 7 6 6 5 4 4 6 9 10 11 11 12 12 12 10 9 8 8 9 10 12 13 14 15 14 13 12 11 11 11 12 13 13 11 10 9 9 10 10 11 11 11 nan
nan 1 1 3 8 13 16 17 18 17 15 12 8 6 6 7 8 9 9 9 8 7 7 8 9 9 9 7 8 9 8 7 5 6 9 12 13 11 8 6 6 6 7 9 11 13 13 12 11 11 11 11 9 8 9 10 10 10 10 10 10 10 9 8 8 10 11 13 14 15 16 13 9 8 8 9 9 9 9 9 9 8 9 11 13 14 12 9 6 5 5 7 7 6 5 5 6 8 10 12 13 13 11 9 6 5 3 3 5 8 10 9 8 7 7 7 7 5 3 4 5 7 8 8 5 2 0 3 7 10 12 11 11 10 11 11 12 13 15 17 18 18 17 16 13 10 7 5 5 4 4 3 2 4 7 11 13 14 14 14 13 13 12 11 10 10 10 10 11 13 14 15 14 13 13 12 11 11 11 13 13 12 10 9 9 9 9 10 10 10 nan
nan 2 4 6 9 13 16 19 19 17 14 11 8 7 6 6 6 6 6 5 3 3 4 7 9 10 9 7 8 8 7 5 4 5 8 12 13 11 8 5 4 5 6 7 9 10 10 9 8 8 9 10 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 13 15 15 13 10 10 10 11 10 9 10 10 11 11 12 12 13 13 11 8 6 4 4 4 4 4 5 6 8 9 7 6 7 8 10 9 7 4 2 2 5 8 9 9 7 6 6 6 5 4 3 2 3 4 6 8 8 5 5 6 9 10 10 9 9 10 11 13 14 16 18 18 17 15 11 7 5 6 6 6 4 3 2 2 2 4 7 10 12 12 12 11 12 13 14 13 12 11 11 11 11 12 13 14 14 14 14 13 11 10 11 13 13 12 11 9 9 8 9 9 10 10 nan
nan 5 6 7 8 11 15 19 21 21 17 14 11 9 8 6 5 4 3 2 0 -0 1 4 7 9 8 8 8 8 7 4 4 4 7 9 9 7 5 2 1 2 4 6 8 8 8 8 7 7 8 9 9 9 9 9 10 12 13 14 14 15 16 16 14 11 8 8 9 12 14 14 12 11 11 11 11 10 9 10 12 14 14 14 14 13 13 11 9 7 5 4 4 5 7 10 12 10 4 0 2 4 7 9 7 5 3 2 3 6 7 8 7 6 6 6 5 5 4 4 3 4 6 8 9 8 9 10 11 11 10 9 9 10 11 11 12 13 13 12 11 8 4 0 -1 3 7 8 6 3 1 1 2 5 7 8 8 7 7 7 9 12 14 14 13 12 11 11 11 12 13 14 14 14 14 13 12 11 12 13 13 12 10 9 8 8 8 9 10 10 nan
nan 7 7 6 7 8 12 18 23 25 23 19 15 12 9 7 5 4 3 2 1 2 3 4 6 8 8 9 10 10 8 5 4 5 6 6 5 4 3 1 -1 -0 3 5 7 8 8 7 7 6 6 7 9 10 10 10 11 13 15 17 18 19 20 19 15 10 6 3 4 8 13 16 15 12 11 11 10 10 9 10 11 13 14 14 14 14 15 15 13 10 9 8 8 9 11 14 14 11 4 0 2 5 8 10 9 7 5 5 5 5 6 8 8 9 8 8 8 8 8 8 8 8 9 10 10 10 9 10 10 10 10 11 11 10 9 8 7 7 6 5 3 2 0 -1 0 4 9 10 8 4 0 -0 3 5 6 5 4 2 2 3 6 9 12 12 12 12 12 11 11 12 13 13 13 14 14 14 13 13 13 14 14 12 11 9 8 7 8 8 9 10 nan
nan 6 6 5 5 7 10 15 21 24 24 19 15 12 11 11 10 9 8 6 5 6 7 7 8 8 7 9 10 10 9 7 6 6 7 7 5 4 4 3 1 0 2 4 7 8 8 8 6 6 6 7 10 12 11 10 10 13 16 19 20 21 21 21 18 13 7 3 1 4 10 14 16 13 11 10 10 9 8 8 10 11 11 11 12 14 16 17 16 14 13 12 11 12 14 16 15 11 6 4 6 9 11 11 10 8 7 8 9 9 9 9 10 10 10 10 10 10 12 13 14 15 14 13 12 10 8 8 8 8 9 11 11 10 8 7 5 4 3 2 1 0 1 2 5 8 11 12 10 4 0 -1 2 4 4 3 1 -1 -2 1 5 8 9 10 11 11 11 11 11 11 12 12 12 13 13 13 13 13 14 15 15 14 12 10 9 8 7 8 8 9 nan
nan 4 3 4 5 6 9 11 15 18 18 15 13 12 12 15 16 17 14 11 9 8 9 9 9 8 7 8 9 9 8 7 7 8 10 11 9 8 6 5 4 4 3 5 7 9 9 9 8 7 8 9 12 14 12 9 9 11 16 19 20 19 19 19 19 17 12 6 1 -0 4 9 11 11 10 10 10 9 7 6 7 8 9 10 11 14 16 18 18 17 15 14 14 15 17 17 15 10 8 9 11 13 13 12 11 9 9 10 11 12 11 10 8 7 7 8 10 11 13 15 17 18 17 15 12 9 8 7 7 7 8 10 11 10 9 7 6 6 5 5 4 3 3 5 8 11 13 13 10 5 2 2 4 4 3 1 -1 -3 -2 2 4 6 7 9 9 10 10 10 10 10 10 11 12 12 12 12 12 12 13 14 15 15 14 12 10 9 8 8 8 8 nan
nan 4 2 3 5 6 8 9 10 12 12 11 11 11 13 15 17 18 17 14 10 8 8 8 7 7 7 8 9 9 8 7 7 8 10 13 13 10 7 6 6 7 7 7 9 10 11 11 10 10 10 11 13 15 13 9 8 10 13 16 16 15 14 14 15 16 14 10 4 -0 0 3 5 7 8 9 9 9 8 6 6 7 10 11 13 14 16 17 18 17 15 14 15 16 18 18 14 11 11 13 14 14 12 11 10 10 10 10 9 9 9 8 5 2 2 4 7 10 13 16 18 18 16 13 11 9 7 6 6 6 7 9 10 10 9 8 8 8 8 7 5 4 4 6 8 11 11 11 9 6 6 7 8 6 4 1 -2 -2 -1 2 3 5 6 7 8 9 9 9 9 9 9 10 11 11 11 10 10 10 11 13 14 15 14 13 11 9 9 9 9 9 nan
nan 6 3 3 4 6 7 8 8 8 8 9 9 11 12 13 15 15 15 14 11 8 6 5 5 5 6 7 9 10 9 8 7 7 9 11 13 10 7 5 6 8 9 10 11 12 12 13 13 13 12 11 13 13 12 10 8 9 11 13 13 11 10 9 10 13 15 14 10 6 2 2 3 4 6 8 9 9 8 8 7 9 12 14 15 15 14 14 15 14 14 14 15 18 19 18 15 13 13 13 12 10 8 8 9 10 10 9 7 7 7 8 6 2 1 2 5 10 14 16 17 15 13 11 10 9 8 7 6 5 6 8 10 10 9 9 9 8 7 5 3 3 6 8 10 11 9 6 3 5 8 11 12 12 9 4 1 -0 0 1 3 4 5 5 6 7 8 9 9 9 9 10 11 12 11 9 8 10 11 12 13 13 13 12 11 10 10 10 10 10 nan
nan 8 6 4 4 4 6 7 8 7 6 7 8 10 12 13 13 13 12 12 12 10 7 5 5 5 6 6 8 9 10 9 9 9 9 11 12 10 7 5 5 6 8 11 13 14 14 14 14 14 12 10 9 10 10 9 8 8 9 10 10 9 9 8 8 10 13 15 14 11 7 4 4 4 5 7 7 8 8 9 10 13 16 17 17 15 12 10 9 9 11 14 18 19 19 18 15 13 11 9 8 6 5 7 9 10 11 10 9 8 9 10 8 5 4 4 6 10 13 15 14 13 11 10 10 10 10 9 7 6 6 7 8 10 10 10 10 9 6 3 2 4 8 12 14 12 7 1 -2 0 5 11 15 16 14 9 5 3 3 3 5 5 6 6 6 6 7 8 9 9 9 10 11 12 12 10 9 11 12 12 12 12 12 12 11 10 10 10 10 10 nan
nan 8 7 6 4 3 3 4 6 6 6 6 6 8 10 11 12 11 11 11 12 12 10 8 7 7 7 5 6 8 9 10 10 10 11 12 12 10 8 6 5 6 9 12 14 14 14 15 15 14 11 7 6 7 7 7 7 8 8 9 8 9 9 9 9 9 10 12 13 12 9 6 5 5 5 5 6 7 8 9 12 15 18 19 18 14 10 5 2 3 7 12 19 21 19 17 14 11 8 5 4 5 7 9 12 13 13 12 11 10 10 10 9 8 7 8 9 10 12 13 12 11 11 11 12 12 12 11 9 8 7 7 8 9 10 12 12 10 7 3 2 6 11 15 16 12 5 0 -0 1 4 9 14 17 17 12 8 6 6 6 7 8 8 8 7 7 6 7 8 9 10 11 12 13 12 11 11 12 13 13 13 12 12 12 11 11 10 10 10 9 nan
nan 8 8 8 6 3 2 2 3 5 6 6 6 6 7 7 9 10 11 11 12 12 11 10 10 10 8 7 7 8 9 10 10 10 10 10 10 9 8 7 8 10 13 14 14 14 15 16 16 14 10 6 3 4 5 6 6 7 8 8 8 9 9 10 9 9 9 10 11 10 7 5 4 4 5 5 5 6 7 8 11 15 18 20 18 13 7 1 -2 -1 4 11 17 20 18 16 14 11 8 6 5 6 8 11 14 15 15 14 12 11 12 12 11 10 10 10 11 12 12 12 11 10 10 11 12 12 12 11 10 9 8 8 8 8 9 11 12 11 8 5 4 7 11 14 13 9 3 1 3 6 8 11 14 16 15 11 8 8 8 8 9 9 10 10 9 9 7 7 8 8 10 11 12 13 13 12 13 14 15 15 14 13 13 12 11 10 10 9 9 8 nan
nan 9 8 8 9 8 6 4 4 6 7 6 5 5 5 5 7 10 11 12 11 12 12 11 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 8 10 13 17 18 15 13 14 15 16 14 9 5 2 2 3 4 5 6 8 8 9 9 10 10 10 9 9 9 10 8 6 4 3 4 4 4 4 5 6 7 9 12 15 18 17 12 5 -1 -3 -1 3 9 14 18 18 17 16 14 12 10 8 8 9 12 15 16 15 14 13 13 14 14 14 13 11 11 12 12 12 11 10 9 9 10 11 12 12 11 10 9 9 9 10 10 10 10 10 9 8 6 5 7 10 11 11 8 4 4 5 8 11 14 14 13 11 9 8 8 9 9 10 10 10 11 11 11 10 9 9 9 10 11 12 13 13 13 13 14 15 16 15 14 13 12 11 10 9 9 8 7 nan
nan 11 8 8 11 14 12 10 9 8 8 6 4 4 4 5 7 9 11 11 11 12 12 11 9 8 9 10 10 10 9 9 8 7 6 5 5 5 6 8 11 14 18 18 15 11 12 12 13 12 8 3 1 0 1 3 4 6 8 9 10 10 11 11 11 11 10 10 10 7 4 3 2 3 4 4 4 5 6 7 7 9 11 13 14 10 3 -1 -2 -0 3 8 12 15 17 17 16 16 15 13 10 9 10 12 14 14 13 13 12 13 14 14 13 12 12 11 11 11 11 10 10 10 10 10 10 12 13 13 12 12 11 11 11 11 10 9 8 7 6 6 5 7 8 10 10 9 8 8 9 10 12 13 12 10 7 6 7 8 10 11 11 11 10 11 12 13 12 12 11 10 10 10 11 12 13 14 14 14 15 15 14 13 12 11 10 9 9 8 8 7 nan
nan 10 8 7 11 14 15 14 12 11 9 6 4 4 5 6 8 9 10 9 9 10 11 10 8 7 7 8 9 8 8 7 7 6 6 6 6 5 6 7 9 12 15 15 12 10 9 10 10 9 6 3 1 0 1 2 4 6 8 10 11 12 13 13 13 13 12 11 9 7 4 2 1 2 3 4 5 5 6 7 7 7 8 9 10 7 3 1 0 1 4 6 9 12 15 16 16 15 14 12 9 8 10 12 12 12 11 10 11 11 12 12 12 11 10 10 9 9 8 8 9 10 10 10 11 12 14 15 15 15 14 13 12 11 10 9 8 7 6 5 5 6 8 9 10 10 11 10 11 11 11 10 8 6 4 4 6 8 10 11 12 11 11 11 12 14 14 13 12 11 10 10 11 12 13 14 14 14 13 13 12 12 11 10 9 9 9 8 8 7 nan
nan 7 6 6 8 11 14 14 13 12 9 8 7 7 8 9 9 8 8 7 7 8 10 10 9 7 5 5 6 6 6 5 6 6 7 8 8 7 6 6 7 9 10 10 9 9 8 8 8 6 5 3 2 1 2 3 5 6 8 9 11 13 15 15 15 14 13 11 8 6 3 1 1 2 3 4 5 5 6 6 6 6 6 6 6 5 4 3 2 3 4 5 7 10 13 14 15 14 13 11 8 8 10 12 12 10 9 9 9 9 10 11 11 11 10 8 7 6 7 7 8 8 9 9 9 11 13 15 15 15 15 14 13 11 10 9 8 7 6 5 4 5 6 7 7 8 9 9 9 9 9 8 6 4 3 3 5 8 11 13 13 12 11 11 12 13 14 14 12 10 9 9 10 12 13 13 13 13 12 12 11 11 10 9 9 9 9 8 8 8 nan
nan 5 5 5 6 9 12 13 12 10 8 9 10 11 11 10 8 7 7 7 6 7 9 10 10 8 4 3 4 5 5 5 5 6 7 8 9 9 7 6 6 6 6 7 7 8 9 8 8 6 5 4 3 3 4 5 6 7 7 8 11 14 16 16 15 13 10 8 6 5 3 1 0 1 2 3 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 7 9 12 14 14 14 14 12 10 10 11 12 11 10 9 8 8 8 9 10 10 11 11 9 8 6 6 7 7 7 7 7 6 7 8 10 11 12 13 13 13 12 11 9 9 8 7 6 5 4 3 3 3 4 5 6 7 8 8 7 6 5 4 4 6 8 12 14 14 12 11 10 11 12 13 13 12 9 7 6 7 10 12 12 12 12 11 11 11 10 10 9 9 9 9 9 8 8 nan
nan 4 5 5 6 8 10 10 9 8 7 9 10 11 11 9 8 7 7 7 6 6 8 9 10 8 4 3 4 6 6 6 6 6 6 8 8 9 10 9 9 7 6 4 4 6 7 8 7 7 6 5 5 5 7 8 9 8 7 8 11 14 15 15 12 9 6 5 4 3 2 1 0 0 1 2 3 4 4 4 4 3 4 4 4 4 3 3 3 3 4 6 8 10 11 12 14 14 14 14 12 11 11 11 11 9 8 7 7 8 8 9 10 11 12 12 11 9 7 7 7 7 6 5 5 5 5 6 7 9 10 12 13 12 10 9 9 8 8 8 8 7 5 4 3 3 4 5 6 6 6 5 5 6 6 8 9 12 15 16 16 14 12 10 10 11 12 12 10 8 5 4 5 8 11 12 12 12 11 11 10 10 9 9 9 9 9 9 8 8 nan
nan 8 8 8 8 7 7 7 6 5 6 7 8 9 9 9 8 8 8 8 7 6 7 7 8 6 3 3 4 6 7 7 6 5 5 6 8 11 13 15 14 11 7 4 2 3 5 6 7 7 6 6 6 8 10 12 12 10 8 8 11 12 12 10 8 5 3 3 3 3 2 2 1 1 1 2 2 3 3 2 2 2 2 2 2 2 2 2 2 3 5 8 9 10 10 11 12 13 15 15 13 12 12 11 11 10 9 7 7 7 8 9 11 13 14 14 13 11 10 9 8 7 6 6 6 6 7 7 8 9 11 12 13 12 10 9 9 9 9 10 11 11 10 8 6 6 6 6 7 6 5 3 3 6 9 12 15 17 19 19 18 16 14 11 10 10 11 10 9 7 6 6 6 8 11 12 12 12 12 12 11 10 9 9 9 8 8 8 8 9 nan
nan 12 12 12 12 10 7 6 5 4 5 6 7 8 9 9 10 9 9 8 7 6 6 6 5 4 3 2 3 5 6 5 5 4 4 5 8 13 16 19 18 15 10 5 3 2 3 5 6 7 7 7 8 10 12 14 14 13 11 10 11 11 9 6 3 2 2 2 3 4 4 4 4 4 4 5 5 4 4 3 2 1 1 1 0 0 1 1 2 4 5 7 9 9 8 9 10 11 14 14 14 13 13 12 12 11 10 8 7 7 8 9 11 13 15 14 13 12 11 10 9 7 6 6 8 9 11 12 13 14 15 15 15 13 12 11 10 10 10 11 12 13 12 11 9 9 9 9 9 8 6 4 5 7 9 13 16 19 21 21 18 15 13 10 9 9 10 9 8 7 7 7 8 9 11 12 12 13 12 12 11 10 9 9 8 8 8 9 9 9 nan
nan 13 14 15 15 14 11 7 5 4 6 8 8 8 9 10 11 10 9 8 7 6 6 6 5 4 3 2 3 4 4 4 4 4 5 5 9 13 17 19 19 17 13 9 6 4 4 4 5 7 8 9 10 11 12 14 15 14 13 12 12 10 7 5 2 2 2 3 4 4 5 5 6 7 8 9 8 7 6 4 4 3 3 3 2 1 1 2 3 4 5 5 6 6 6 6 8 10 12 13 13 13 12 12 11 11 10 9 8 7 8 9 11 13 14 13 11 10 10 10 9 8 7 8 10 13 16 18 20 20 19 18 17 15 14 13 12 11 11 11 12 12 12 11 10 10 10 10 10 8 6 6 7 8 10 12 15 18 19 19 15 12 9 7 7 8 9 9 8 8 8 9 9 9 10 12 12 13 12 12 11 10 9 9 8 8 9 9 10 10 nan
nan 10 12 15 16 16 13 9 5 4 6 9 9 9 10 11 12 12 10 8 7 7 7 7 7 6 4 3 4 4 4 4 5 6 6 6 7 11 15 17 17 17 15 13 10 8 6 5 6 7 9 10 10 10 11 12 13 13 12 12 11 10 8 5 3 2 3 4 4 5 6 7 8 9 10 10 10 9 8 6 6 6 7 7 6 5 5 5 5 5 5 4 4 4 4 5 6 8 10 11 12 11 11 11 10 10 10 9 8 8 8 10 11 13 13 12 9 6 5 5 7 7 8 9 12 17 20 22 23 22 21 19 16 15 14 13 12 11 10 10 11 11 12 12 11 11 11 10 8 6 5 4 6 8 11 14 17 18 17 15 12 8 6 4 5 7 8 9 9 9 9 10 10 10 11 12 13 13 13 12 11 10 9 9 8 8 9 10 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
57 59 58 56 56 67 88 112 127 129 116 102 89 77 69 63 55 49 44 42 43 43 42 42 47 49 43 38 40 45 51 56 59 66 76 90 105 116 118 108 95 94 96 96 98 98 96 99 105 120 177 228 224 172 115 86 77 69 64 89 98 87 68 62 74 86 64 53 49 54 56 55 55 56 53 53 51 38 93 137 156 161 155 134 117 118 119 121 135 152 171 206 247 227 166 122 88 56 21 3 3 10 20 30 47 70 50 19 8 10 11 10 12 13 6 2 5 14 34 69 122 217 352 375 303 257 193 126 67 28 18 10 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 6 28 66 69 44 77 107 91 50 29 32 17 15 11 5 3 2 1 1 4 52 250 646
67 68 67 63 59 61 72 93 111 115 109 98 86 75 66 59 52 49 51 55 58 61 62 60 63 66 67 66 62 61 62 63 65 70 80 92 104 113 113 104 95 97 95 100 110 113 102 91 93 113 184 252 254 196 136 99 82 72 70 101 104 89 66 61 63 50 23 14 11 13 13 13 13 14 17 23 33 69 133 171 195 188 171 167 158 164 161 161 172 188 210 243 268 243 176 123 94 66 30 7 5 16 29 39 51 77 54 23 14 17 22 23 18 9 3 1 3 13 40 76 126 214 341 396 363 329 216 132 71 28 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 25 60 69 29 91 161 131 83 117 148 70 48 42 21 8 3 2 1 24 135 412 831
71 75 79 77 71 68 70 79 90 87 86 81 73 63 53 49 51 55 62 71 78 78 76 72 69 71 73 79 79 79 81 83 86 91 94 94 94 96 98 97 94 91 91 104 120 116 104 92 88 111 172 233 245 210 160 117 90 79 86 116 126 94 65 65 54 32 9 3 1 0 0 0 0 0 1 8 30 84 140 169 179 189 197 201 208 220 223 222 237 255 267 284 291 264 199 133 97 74 39 12 7 21 37 43 48 62 50 27 23 25 29 31 25 13 6 3 6 19 46 76 120 202 313 380 391 346 204 127 69 30 14 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 2 11 26 25 22 70 146 150 148 273 335 187 102 76 44 26 16 14 28 100 300 642 1027
68 71 81 87 84 79 77 81 84 82 78 72 68 62 56 54 59 72 91 108 118 113 95 78 70 69 69 84 95 102 107 109 107 105 102 95 87 87 95 102 100 97 103 121 154 149 122 99 87 92 115 138 166 198 177 129 94 85 106 143 152 101 67 60 28 7 1 0 0 0 0 0 0 0 3 12 32 62 97 141 193 200 233 261 286 310 322 326 333 356 350 330 316 286 226 155 110 85 49 17 11 24 36 41 44 47 46 22 26 21 21 25 25 18 11 9 16 37 66 103 135 197 295 370 377 330 182 117 67 33 15 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 4 8 5 6 24 98 158 208 364 434 305 181 137 99 82 74 78 133 268 526 875 1201
63 65 78 91 92 87 85 86 85 81 78 74 75 73 71 74 83 105 139 167 172 151 114 82 68 67 72 86 106 125 129 127 119 108 99 90 83 84 103 112 112 108 111 136 182 193 151 115 90 76 71 82 121 182 194 128 91 85 117 162 168 118 71 47 13 2 0 0 0 0 0 0 0 0 0 6 23 51 96 165 209 240 283 345 368 376 385 389 388 414 398 337 307 280 225 161 120 96 62 24 18 23 32 41 43 42 48 34 38 32 25 24 24 22 16 12 16 27 47 108 132 184 284 362 357 305 171 106 57 28 13 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 1 1 0 0 3 58 146 220 320 377 339 255 192 181 199 206 207 285 466 747 1067 1335
65 69 81 91 93 90 92 93 93 92 90 88 89 88 87 94 113 142 175 196 187 151 105 74 62 61 70 89 118 146 149 149 137 115 96 85 81 87 110 120 116 107 102 119 157 181 164 129 100 81 71 73 97 141 157 111 85 88 128 184 186 136 76 26 4 1 0 0 0 0 0 0 0 0 0 3 27 98 185 254 296 339 332 351 333 312 305 299 299 322 328 293 278 259 207 153 123 102 68 32 22 28 39 58 57 47 43 37 35 23 19 24 27 24 15 8 5 11 30 82 114 179 273 329 314 253 147 76 44 25 13 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 2 24 102 187 241 269 277 252 213 225 244 298 333 423 635 919 1202 1435
85 84 87 89 88 88 91 93 96 100 100 101 103 103 102 108 128 145 155 153 132 102 78 60 54 55 67 95 130 157 164 166 148 119 95 85 85 92 107 115 112 100 90 92 113 140 149 133 108 88 74 69 75 92 104 96 91 103 148 209 208 152 73 11 1 0 0 0 0 0 0 0 0 0 0 7 69 241 354 389 389 362 281 277 274 248 224 204 193 196 206 213 224 232 192 149 125 101 66 43 36 51 70 85 79 62 49 46 45 31 25 29 30 24 15 9 9 18 38 69 99 167 233 264 241 185 120 63 40 24 11 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 1 7 55 152 237 254 234 214 220 263 281 356 443 552 779 1048 1297 1494
108 99 90 82 78 77 78 78 82 91 97 105 111 116 119 120 125 121 105 88 74 63 56 53 50 54 66 97 124 143 155 160 140 109 89 87 92 95 98 102 102 94 85 83 99 121 134 129 109 87 70 64 66 74 84 91 103 129 175 236 241 167 67 9 0 0 0 0 0 0 0 0 0 0 6 43 180 390 426 396 345 305 299 307 305 279 253 224 198 178 173 200 230 226 193 157 129 96 65 52 63 86 102 101 96 80 61 52 54 56 54 50 42 37 27 19 20 34 57 70 79 144 200 219 188 137 91 50 22 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 31 143 285 318 277 238 247 301 355 420 546 677 897 1143 1357 1514
128 115 100 84 74 70 67 64 63 67 80 95 106 120 130 129 118 97 74 57 48 48 49 50 51 56 67 90 103 117 136 140 121 96 85 90 93 88 85 87 90 88 81 80 100 120 131 125 105 83 67 63 73 80 84 92 114 157 214 268 284 188 62 8 0 0 0 0 0 0 0 0 0 0 24 125 335 406 381 359 344 342 350 348 333 309 293 270 241 222 227 253 255 207 180 162 131 96 67 70 97 114 116 107 106 100 78 66 67 70 68 63 54 61 52 37 29 38 56 59 71 161 208 201 159 114 71 31 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 1 2 7 31 126 261 391 368 309 298 346 431 510 637 784 981 1191 1368 1497
151 138 122 99 79 71 66 61 57 58 67 78 90 112 126 126 109 86 69 59 53 52 54 58 63 66 72 87 89 108 126 124 107 94 93 98 95 82 76 79 85 84 79 83 109 121 126 114 96 81 73 78 88 92 89 95 123 183 255 308 306 181 42 6 0 0 0 0 0 0 0 0 0 0 43 210 409 361 368 382 384 381 366 332 298 277 287 310 313 323 332 298 232 169 143 144 123 99 84 101 124 129 119 104 105 121 114 105 97 83 68 65 66 81 72 43 26 22 31 48 85 191 212 172 141 121 84 38 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 1 2 5 17 64 139 355 375 344 349 405 499 593 728 878 1044 1222 1377 1497
170 160 142 116 89 74 71 66 60 59 64 69 78 105 124 120 104 88 79 72 63 59 61 71 82 84 85 89 92 116 128 116 102 98 103 108 103 90 82 81 85 84 84 100 132 142 135 112 89 79 78 84 93 96 94 100 135 218 297 332 261 77 11 1 0 0 0 0 0 0 0 0 0 5 44 184 324 343 373 384 379 346 293 238 194 182 226 318 391 400 364 272 194 150 130 129 122 105 101 115 125 119 104 93 103 139 155 139 109 83 70 72 83 94 74 37 17 11 15 31 82 167 183 144 133 137 112 63 19 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 1 3 16 50 55 212 277 319 375 448 533 633 771 931 1092 1254 1397 1511
167 159 140 115 93 80 77 73 65 63 64 68 78 95 113 120 112 98 89 85 81 77 79 89 100 95 92 93 104 126 129 109 98 103 112 117 114 105 96 89 89 86 87 108 142 164 159 126 96 82 78 81 87 95 99 107 153 259 333 326 185 21 2 0 0 1 1 0 0 0 0 0 0 13 71 170 256 314 356 363 343 263 177 120 84 96 190 345 459 402 246 192 173 158 146 138 128 118 113 118 114 95 81 85 107 147 183 180 145 107 88 89 100 103 72 38 11 6 9 19 66 132 153 129 119 117 98 64 28 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 1 13 44 39 155 259 347 426 496 560 641 768 940 1114 1272 1398 1493
140 127 110 97 89 83 81 78 71 64 63 71 81 91 103 117 112 98 88 80 76 80 90 102 107 96 94 90 112 127 116 97 98 108 112 113 112 109 106 106 102 92 90 95 114 137 147 129 106 83 75 78 88 97 105 125 185 301 354 247 96 8 0 0 0 0 0 0 0 0 0 0 2 12 66 180 230 267 305 315 276 171 80 44 40 73 192 369 468 350 116 154 169 166 163 154 138 130 127 123 105 84 75 82 104 138 180 207 185 137 108 106 112 106 79 45 12 7 8 25 80 139 155 127 93 70 54 39 21 9 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 3 22 67 168 281 386 466 525 576 647 764 938 1120 1267 1362 1423
108 97 86 81 83 82 81 79 75 67 64 74 82 89 97 101 95 85 79 76 76 83 93 99 97 85 81 73 109 111 94 90 103 110 106 99 96 98 104 109 107 104 109 109 125 138 137 122 104 83 74 81 93 103 119 158 234 331 352 120 29 3 0 0 0 0 0 0 0 0 0 0 3 23 91 233 254 245 244 231 184 116 65 33 38 49 120 231 275 195 95 144 156 159 163 160 150 145 145 133 105 86 79 81 93 119 161 202 197 133 122 125 133 128 99 55 16 7 7 37 105 172 193 162 111 67 41 30 21 14 9 6 4 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 25 111 207 313 419 491 541 593 672 790 945 1113 1229 1289 1321
100 93 84 77 76 78 80 81 80 77 73 75 81 84 82 81 80 76 72 70 70 73 78 80 75 66 63 62 108 91 82 92 107 109 98 86 83 88 95 101 106 116 128 132 146 139 123 110 100 89 80 84 100 120 148 201 281 339 277 35 6 1 0 0 0 0 0 0 0 0 0 0 2 17 80 217 245 212 169 126 87 67 64 44 21 15 62 135 163 139 121 137 147 146 146 153 152 148 145 135 115 92 79 80 87 105 144 190 203 145 136 148 155 138 108 66 25 9 8 39 121 205 242 221 167 107 57 37 32 26 21 15 9 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 30 125 254 380 473 539 584 628 701 816 953 1084 1159 1199 1228
114 107 96 85 78 77 82 85 87 86 81 77 79 80 75 74 73 71 68 65 62 61 62 61 56 53 53 66 105 79 80 98 115 114 100 88 86 90 95 98 99 114 133 139 145 120 97 92 98 101 99 103 119 141 177 242 319 330 215 36 7 8 5 2 1 0 0 0 0 0 0 0 0 12 75 178 193 132 74 38 18 30 49 37 11 2 48 145 207 188 150 151 162 147 129 131 134 136 135 128 115 96 78 74 81 106 156 204 215 183 175 171 144 111 90 65 35 17 16 41 134 216 246 229 183 128 86 58 55 42 24 14 10 9 10 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 27 118 273 435 548 596 624 653 717 831 964 1061 1115 1146 1187
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141 128 112 96 87 82 78 75 78 85 89 91 92 92 88 80 81 73 67 63 59 55 51 48 48 49 55 79 86 79 89 110 109 94 86 82 80 77 74 70 70 83 111 135 136 114 90 83 99 125 153 167 166 169 203 281 377 326 200 111 82 62 33 14 13 7 2 0 0 0 0 0 0 7 64 71 36 9 1 0 0 0 0 1 0 5 32 108 228 262 214 177 163 150 138 119 106 100 92 82 74 72 72 75 85 112 149 178 197 211 204 159 109 69 54 51 48 40 42 73 133 173 153 118 85 68 68 68 49 15 7 11 15 17 15 9 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 17 87 213 386 576 703 742 760 779 829 906 987 1045 1081 1112 1165
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168 148 122 101 90 83 81 80 79 80 83 85 84 84 79 80 81 74 64 60 56 47 43 44 46 48 54 76 69 78 97 109 105 91 79 71 66 64 63 67 74 91 137 146 177 207 230 237 234 224 227 225 210 211 247 310 345 272 217 130 82 62 53 44 40 39 22 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 21 81 194 311 324 267 227 192 157 132 125 121 121 116 103 84 71 74 93 122 154 114 72 39 44 67 66 38 33 46 52 47 46 56 71 78 76 60 38 28 27 28 23 12 10 8 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 4 35 135 314 516 684 802 855 875 883 904 935 971 1007 1040 1071 1111
152 143 120 101 95 90 89 87 82 77 76 76 77 80 79 79 81 77 67 59 53 45 41 43 48 52 61 74 72 77 95 108 106 93 77 66 60 58 59 64 71 90 117 115 166 220 259 281 286 279 274 265 250 243 246 268 270 224 167 85 67 63 46 30 25 35 38 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 52 144 264 333 303 260 221 159 122 118 125 137 124 92 75 63 63 77 102 133 116 55 20 16 30 37 30 31 41 43 35 33 47 60 56 40 23 14 17 21 24 21 13 9 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 8 77 199 368 541 696 827 891 905 906 918 937 959 982 1005 1026 1051
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83 81 74 63 67 74 76 74 67 60 58 60 66 67 61 55 57 59 57 57 51 41 38 42 51 58 70 76 74 73 79 89 84 72 61 52 42 34 31 35 43 44 47 63 88 117 143 151 140 107 77 60 50 41 34 13 15 13 11 9 7 7 10 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 1 10 34 55 60 56 82 115 131 144 168 184 171 153 150 141 140 145 163 203 255 259 172 88 49 42 47 51 48 42 31 18 5 1 6 16 25 21 21 21 22 23 20 14 6 1 0 0 0 0 1 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 2 16 93 189 328 481 640 793 909 961 980 976 971 972 976 975 967 960
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67 66 61 59 61 62 60 61 58 54 53 57 60 59 51 48 51 53 58 60 58 49 42 46 55 61 62 64 68 64 64 68 72 70 60 45 29 17 14 15 17 20 23 28 39 54 54 43 28 12 1 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 1 29 97 186 234 195 163 135 113 112 128 122 115 120 146 207 223 164 86 53 57 70 70 61 46 25 0 1 11 11 11 12 15 20 23 24 21 13 7 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 12 16 15 12 36 115 198 260 470 638 777 913 1017 1054 1069 1058 1045 1035 1026 1020 1017
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59 60 60 62 55 53 50 47 42 40 45 52 53 49 48 50 52 54 54 58 56 49 43 43 51 60 67 69 65 59 58 66 73 67 56 44 32 20 13 13 14 17 19 23 30 37 41 24 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 0 0 0 0 0 0 0 0 44 148 244 252 166 84 69 59 147 186 172 142 136 133 108 126 147 135 108 97 98 74 21 5 1 4 14 26 26 25 34 43 45 40 29 18 16 19 14 18 14 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 3 45 54 43 34 21 9 40 140 416 614 740 863 986 1075 1112 1115 1111 1106 1098 1082 1057
60 60 56 51 46 48 43 40 38 39 45 50 50 46 46 50 53 54 54 58 52 46 41 40 45 53 62 70 69 59 57 64 70 63 54 45 34 22 14 13 14 16 19 24 30 36 36 18 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 2 53 152 216 198 132 81 70 80 172 180 195 181 146 120 86 78 108 133 132 107 70 29 0 0 11 27 43 47 39 33 38 45 40 26 15 10 8 5 4 10 11 8 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 3 23 45 50 41 19 4 24 113 383 600 737 848 967 1071 1127 1141 1141 1137 1129 1118 1098
63 62 54 48 47 44 38 37 39 42 46 49 48 45 48 50 53 52 52 56 53 48 41 37 38 44 52 65 71 60 57 62 65 57 50 46 38 27 17 13 14 16 19 25 32 37 32 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 16 7 0 0 0 0 0 0 0 0 0 2 6 13 17 12 5 1 0 0 0 0 0 0 0 0 7 45 133 197 186 147 119 109 113 163 159 169 166 139 103 70 58 95 145 139 79 25 4 3 18 52 72 77 67 52 43 44 44 34 21 10 7 6 4 1 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 12 37 63 46 18 3 1 23 120 358 597 739 852 975 1086 1154 1173 1174 1166 1148 1135 1120
61 60 53 50 44 39 36 36 39 44 47 48 47 46 50 51 50 50 51 53 52 46 37 31 31 37 46 57 65 58 54 60 61 55 48 46 41 30 20 16 17 22 27 29 35 37 30 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 16 19 7 0 0 0 0 0 0 0 0 3 9 19 34 49 49 32 12 2 0 0 1 1 1 2 3 16 66 158 232 229 204 160 111 77 79 86 119 141 140 124 104 99 124 155 109 38 4 5 22 63 108 123 105 77 55 45 42 39 29 20 12 10 8 5 3 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 7 27 55 48 10 2 1 2 23 110 304 549 727 862 990 1102 1179 1211 1210 1194 1173 1160 1152
55 54 50 46 39 36 36 37 40 44 47 46 44 45 47 48 47 47 50 52 50 42 32 25 24 31 44 57 62 55 47 54 56 52 47 44 41 34 26 23 26 34 40 37 39 34 24 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 8 20 35 56 81 90 65 29 7 1 1 2 4 5 11 29 58 114 192 257 235 215 171 112 65 37 33 81 141 168 169 161 162 184 213 105 28 10 29 65 109 138 143 114 87 72 64 55 44 35 28 16 14 10 4 3 2 2 1 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 3 22 60 76 5 9 6 4 7 27 89 229 462 687 853 992 1107 1198 1249 1244 1211 1201 1188 1182
48 46 43 40 36 35 37 39 41 43 45 43 43 46 48 49 48 48 48 49 45 38 29 24 23 32 47 56 59 53 44 50 51 46 42 42 41 38 35 34 38 39 38 34 30 22 9 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 2 5 15 31 50 71 92 104 75 31 7 0 1 4 6 11 24 83 154 204 248 288 255 221 178 122 78 60 66 105 164 190 184 175 187 226 245 126 42 44 81 117 139 146 133 105 87 84 82 72 58 47 36 18 8 3 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 2 1 1 0 0 0 0 0 5 29 72 89 21 33 22 20 21 40 91 200 397 641 833 979 1098 1207 1274 1271 1240 1240 1225 1220
43 42 39 37 35 36 38 40 41 42 42 40 41 44 47 48 48 49 48 48 45 36 27 23 27 38 50 54 55 48 42 47 48 41 38 38 37 34 32 32 31 25 20 16 12 8 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 1 2 2 3 5 17 37 58 74 85 85 53 21 8 4 3 4 11 26 48 137 261 333 355 345 296 250 203 147 104 87 97 131 167 167 135 117 135 187 222 172 94 114 141 149 149 145 131 112 101 97 87 70 56 48 38 15 5 2 1 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 4 1 0 0 0 0 0 2 8 12 21 48 63 57 50 51 63 101 191 351 563 769 926 1058 1181 1264 1287 1289 1298 1285 1278
41 39 36 34 34 36 39 40 39 39 39 38 40 43 45 47 46 47 47 46 41 31 24 23 29 39 49 50 51 46 42 43 44 39 35 30 24 17 12 10 9 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 3 8 9 5 2 7 26 50 67 70 59 39 26 21 13 8 12 32 65 105 172 286 379 384 357 322 270 214 158 103 79 94 133 164 146 86 57 73 133 199 213 173 175 170 152 140 135 127 109 92 85 74 54 44 39 30 14 5 3 2 2 1 1 1 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 6 20 44 80 95 87 91 106 133 187 296 474 695 835 989 1125 1222 1281 1320 1341 1339 1333
37 35 32 31 30 33 37 38 38 37 36 37 39 42 44 43 42 43 43 40 33 25 19 22 31 41 47 45 43 42 39 39 37 33 26 17 9 4 1 0 0 0 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 3 17 22 15 6 2 10 30 50 56 51 45 43 43 31 22 35 75 137 215 309 417 454 413 347 291 239 174 108 66 52 64 99 133 135 100 88 101 131 187 220 205 192 163 132 120 122 124 120 110 98 70 47 34 29 23 15 8 5 4 2 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 1 7 31 78 114 127 134 146 168 208 284 414 610 764 936 1067 1166 1247 1312 1351 1361 1357
33 31 29 27 28 32 35 35 33 32 33 36 38 38 38 36 38 38 36 32 26 19 14 21 33 40 39 33 28 31 29 31 30 24 15 6 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 19 31 26 14 3 2 12 33 46 52 56 60 63 75 111 105 127 194 292 399 484 497 388 346 275 193 121 55 27 23 35 66 99 117 112 108 115 126 182 215 216 205 164 125 114 114 122 131 120 75 54 27 17 16 15 12 9 7 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 5 25 65 119 162 177 193 224 266 327 421 565 718 886 1004 1102 1197 1279 1328 1346 1353
30 28 27 26 27 33 34 31 29 29 31 33 35 35 35 35 35 36 32 26 20 16 17 27 39 45 41 31 22 21 21 22 20 14 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 4 21 47 46 30 15 10 13 28 49 65 76 89 105 132 176 167 170 220 284 345 387 356 261 255 256 171 77 26 10 11 24 48 70 76 67 61 70 107 173 192 188 180 154 126 114 107 107 113 97 49 19 8 4 6 7 7 7 6 5 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 49 103 163 207 235 282 332 385 454 549 672 818 930 1035 1140 1227 1275 1294 1313
27 26 26 27 30 34 32 28 27 27 29 30 32 33 32 33 33 32 26 21 16 12 19 28 30 25 17 11 11 12 13 12 8 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 11 41 83 92 71 49 34 32 47 76 106 121 142 167 187 197 196 220 257 266 245 204 145 73 160 213 138 56 15 4 7 19 36 43 33 19 11 19 64 135 173 176 161 141 113 90 80 69 59 37 12 2 0 0 1 3 5 5 4 3 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 3 19 59 126 194 258 322 384 445 509 580 661 769 875 976 1079 1169 1223 1242 1262
26 27 28 30 31 31 28 28 27 26 26 28 30 31 32 32 31 27 21 16 11 20 30 28 17 5 2 0 3 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 1 28 74 114 127 103 80 76 86 107 139 173 183 189 189 177 161 162 196 222 159 76 35 22 32 115 190 103 36 8 4 8 16 21 16 10 4 2 6 27 71 108 116 121 114 86 50 37 23 14 6 1 0 0 0 0 2 3 3 3 1 0 0 1 2 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 0 0 1 0 0 0 0 0 0 0 0 0 5 24 69 144 234 327 413 493 565 628 685 760 852 934 1023 1117 1188 1219 1246
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