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 4 3 3 3 3 4 5 6 7 8 10 11 14 17 20 22 23 22 19 16 13 11 9 7 6 5 4 3 3 5 6 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 7 6 6 6 6 8 10 10 9 8 6 5 5 6 7 7 8 8 8 8 8 7 7 7 7 8 9 10 10 9 8 8 8 8 8 7 7 7 7 6 6 7 8 7 7 7 6 6 5 5 6 7 7 7 7 7 7 7 7 8 7 6 5 4 3 4 5 6 8 9 8 9 10 9 10 10 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 6 8 9 10 10 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 4 3 3 2 2 2 3 4 5 6 7 8 10 13 17 20 23 23 23 20 17 13 10 8 6 5 4 4 4 4 6 8 10 9 8 7 7 8 8 8 8 7 7 8 8 8 8 7 7 7 8 9 9 10 10 9 8 7 7 7 8 9 10 10 9 8 7 6 6 7 7 8 8 7 7 6 6 5 5 5 6 7 9 10 10 9 8 8 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 7 6 7 7 7 7 7 7 7 7 6 6 7 6 6 5 5 6 7 8 9 10 10 9 9 9 9 9 10 9 8 8 9 9 9 9 9 9 9 8 7 7 8 8 7 7 6 5 5 4 3 3 3 5 6 7 9 10 10 10 8 6 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 4 4 4 3 2 2 2 2 3 3 4 6 8 11 13 16 18 21 23 23 21 18 13 9 7 6 5 5 4 4 5 7 9 9 8 7 8 8 8 8 7 7 7 7 8 8 8 7 7 8 9 10 10 11 10 9 8 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 6 5 5 5 5 4 5 6 8 8 8 8 9 9 9 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 7 7 6 7 7 7 8 9 10 11 12 12 12 11 10 9 9 9 9 10 9 8 8 8 8 8 9 9 10 9 8 7 7 7 7 7 7 6 6 5 4 3 3 3 3 4 5 7 9 11 12 10 8 6 5 6 7 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 8 nan
nan 4 5 5 5 4 3 3 3 2 1 1 3 6 9 11 12 14 15 18 22 23 22 19 14 10 8 7 6 5 5 5 6 7 8 8 8 8 8 7 6 7 7 7 7 8 9 8 7 8 9 9 10 10 10 10 9 9 10 10 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 7 6 5 6 6 5 4 5 6 7 7 8 8 9 9 9 9 9 10 11 11 11 10 9 10 10 10 11 11 10 9 8 8 7 7 8 9 10 9 8 8 8 9 10 11 12 13 13 14 13 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 8 7 7 7 7 8 7 7 6 5 4 4 3 3 3 3 4 6 8 11 12 11 10 8 7 6 6 7 8 8 8 8 8 7 8 8 8 7 7 7 7 8 8 nan
nan 4 4 5 6 6 5 5 4 3 1 -1 -0 3 7 10 11 11 12 13 18 22 24 23 20 16 12 9 7 6 6 6 7 7 7 8 9 9 8 6 5 6 8 7 7 8 9 9 9 10 10 11 10 9 9 10 10 11 12 13 13 13 12 11 10 9 9 9 10 10 10 9 9 9 9 8 7 6 6 6 6 5 6 6 6 6 8 9 9 9 9 9 9 10 11 11 11 10 9 9 10 11 11 12 12 11 10 9 8 8 9 11 13 13 11 11 10 11 11 12 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 10 11 10 9 9 10 9 8 7 7 7 6 6 5 5 5 4 4 4 6 8 10 11 11 11 10 9 7 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 nan
nan 2 3 3 5 6 6 6 6 4 1 -1 -2 1 6 9 10 10 11 12 14 17 20 22 22 20 17 13 10 8 7 7 8 8 9 9 10 9 8 6 4 6 8 8 8 8 10 10 10 11 12 12 11 10 10 11 12 12 13 13 13 13 13 13 12 11 10 10 10 10 9 8 7 7 7 7 6 5 5 5 5 6 7 7 7 7 9 10 11 11 11 10 11 12 13 13 12 10 10 10 11 12 13 13 13 13 12 11 10 10 11 13 15 15 14 13 12 12 12 12 12 12 11 10 10 10 10 10 9 9 9 8 8 9 9 9 9 10 10 10 9 10 11 12 13 13 14 13 11 9 9 9 10 10 10 9 9 7 6 6 7 9 11 11 10 10 11 11 9 8 7 7 7 7 8 8 9 8 7 7 7 8 7 7 7 8 nan
nan 2 1 2 2 4 5 6 5 4 2 0 -1 1 4 6 8 9 12 13 13 14 15 17 19 20 20 18 14 10 9 8 9 10 11 11 11 10 8 5 4 6 8 8 9 10 10 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 7 7 6 6 6 6 5 5 5 5 6 7 7 7 9 11 12 12 12 12 12 12 13 14 14 13 12 12 12 13 14 15 15 16 15 14 13 12 12 13 14 16 16 15 14 13 12 11 10 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 9 9 9 8 8 9 10 12 14 16 17 17 15 13 12 11 11 12 12 12 11 10 9 9 10 11 12 12 10 10 11 12 11 10 9 8 7 7 7 7 8 8 7 7 8 8 7 7 7 7 nan
nan 3 1 -0 -0 0 4 5 5 4 3 2 1 1 3 4 6 9 12 13 13 13 12 12 14 17 19 19 16 13 12 10 10 11 12 12 11 10 8 5 4 6 7 8 10 11 12 14 14 13 11 9 8 8 7 7 6 7 8 8 8 7 7 7 7 7 7 6 5 5 6 6 6 6 6 6 6 6 6 5 6 6 7 6 7 9 11 13 13 13 13 13 13 13 14 14 14 13 13 14 14 15 16 17 17 16 15 14 13 12 12 13 15 15 15 13 12 11 9 8 8 9 11 12 12 11 11 11 10 10 9 9 8 7 6 7 7 8 8 7 7 8 9 11 13 15 17 17 17 16 14 13 12 12 11 11 11 11 11 11 12 13 13 12 11 10 10 11 12 12 12 11 9 8 6 6 7 8 8 8 8 8 7 6 6 6 nan
nan 7 3 -0 -2 -1 2 4 4 4 4 4 3 3 2 3 5 8 11 12 13 12 11 11 12 14 15 16 15 15 15 14 13 13 13 13 13 11 8 5 4 5 6 9 11 13 15 15 13 10 8 6 4 4 4 3 4 4 5 5 4 3 3 3 3 4 4 4 4 4 5 6 6 6 6 7 7 7 7 7 7 7 7 6 7 9 11 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 15 15 14 13 12 11 11 11 11 12 13 13 12 10 9 8 7 7 8 10 11 12 12 12 11 11 11 11 10 9 7 7 7 7 8 8 7 7 7 8 8 10 13 15 15 16 16 15 15 14 13 12 11 10 10 10 11 12 13 13 12 10 9 9 9 11 12 13 12 11 9 7 7 8 9 10 9 8 7 7 7 7 7 nan
nan 14 9 4 1 -0 1 4 4 3 3 3 4 4 3 4 6 9 10 11 11 11 12 13 13 13 13 14 15 17 19 19 17 15 15 15 14 12 8 5 4 5 8 10 12 14 15 14 11 8 5 4 3 4 5 5 5 5 4 3 2 1 1 2 3 4 5 5 5 6 6 6 6 7 7 7 7 8 7 7 7 7 6 6 6 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 9 9 8 7 8 9 11 11 12 12 12 13 13 12 12 10 10 9 10 11 11 10 9 8 7 6 6 8 10 12 13 13 14 15 15 14 13 13 12 10 9 9 10 11 12 11 11 10 8 7 7 9 11 11 11 10 10 10 10 11 11 11 9 7 7 8 8 8 7 nan
nan 20 17 12 8 4 1 3 2 0 0 2 4 3 4 6 9 10 10 10 9 10 13 15 16 16 16 16 18 20 22 21 18 15 15 16 15 12 9 7 7 8 11 12 12 12 13 12 10 7 5 5 6 7 9 9 8 7 6 4 3 3 4 5 5 5 6 6 6 6 6 7 7 8 9 8 8 7 7 6 6 6 5 4 5 6 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 11 10 10 10 10 10 9 9 8 8 9 10 11 12 13 13 13 14 13 12 11 11 12 13 14 14 13 11 8 7 6 6 7 8 9 10 11 13 13 13 13 13 12 12 11 10 10 11 11 11 11 10 9 7 6 6 7 8 9 10 10 10 11 11 12 12 11 9 8 8 9 9 8 8 nan
nan 23 23 22 18 14 8 5 3 0 1 3 4 3 3 5 8 10 9 8 8 10 14 17 19 19 20 20 21 22 21 19 16 15 16 17 16 13 11 9 9 10 11 11 11 12 12 11 8 6 5 6 7 8 9 10 9 9 7 7 6 7 8 7 7 7 7 7 7 7 8 9 9 10 10 9 8 7 7 6 5 5 4 3 4 5 7 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 11 10 10 11 11 10 10 9 9 8 9 10 12 13 13 13 13 13 12 11 12 13 15 16 16 14 12 9 7 6 6 6 7 7 8 8 10 11 12 12 12 12 12 12 12 13 13 13 12 11 11 9 8 7 7 7 7 8 9 9 9 9 10 10 11 11 10 9 10 10 9 8 8 nan
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nan 14 18 21 24 25 24 18 12 7 6 6 5 5 5 6 7 7 6 7 10 15 19 22 24 23 22 20 17 15 13 12 11 11 12 13 13 13 12 11 10 9 9 10 11 11 11 10 7 5 4 5 6 8 9 10 11 11 10 10 11 11 11 10 9 9 9 10 12 13 12 10 9 8 7 8 8 8 8 8 8 8 7 6 4 4 4 6 8 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 9 9 9 10 11 11 12 12 11 9 9 9 9 11 11 12 10 9 9 11 12 13 13 14 14 14 14 14 14 14 16 16 14 11 9 9 9 9 8 7 5 5 5 6 7 8 9 9 9 10 11 12 13 15 16 16 15 13 12 10 10 9 9 9 8 7 7 7 7 6 6 7 8 10 10 10 9 8 8 8 nan
nan 11 12 15 17 19 19 16 12 9 8 8 8 8 7 7 8 7 6 8 13 17 20 22 23 22 20 17 14 11 10 10 10 9 9 10 11 12 12 12 11 10 10 10 11 10 9 9 7 5 5 6 7 9 10 12 12 11 9 8 8 8 7 7 8 9 10 10 10 9 7 6 6 6 7 8 8 8 9 9 9 9 9 8 6 5 4 5 7 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 9 8 7 8 10 12 13 12 10 10 10 11 12 13 13 14 14 15 14 12 12 13 14 13 11 10 10 10 10 10 9 7 6 6 6 7 7 7 7 7 8 8 9 10 11 12 13 13 13 12 11 10 10 10 10 9 9 8 8 7 6 6 6 7 9 9 9 9 8 8 9 nan
nan 9 9 10 11 12 13 11 9 8 8 9 10 10 9 8 7 5 5 8 12 16 19 22 23 22 18 14 12 10 9 9 9 8 8 9 10 11 12 12 12 11 11 11 11 10 10 9 8 7 7 8 10 11 12 13 12 8 6 5 6 6 6 6 7 9 9 8 6 3 3 4 5 6 7 7 7 8 8 8 8 9 10 10 9 8 6 5 6 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 10 9 7 7 7 9 11 12 12 11 10 10 10 11 11 11 12 13 14 13 12 10 11 12 12 12 11 11 11 11 11 10 9 8 7 8 8 8 7 7 7 7 7 7 7 8 8 9 10 12 13 13 12 12 12 11 10 10 9 9 9 7 6 6 7 8 8 8 8 8 8 9 nan
nan 9 9 8 8 9 9 8 8 8 8 9 10 11 10 8 5 4 5 8 12 16 19 22 22 19 16 14 12 11 10 9 8 8 7 9 10 10 11 11 11 12 12 12 13 12 12 11 11 11 12 13 14 14 15 14 9 4 3 4 6 7 7 7 8 8 7 6 4 3 4 5 6 6 7 7 7 7 7 6 6 7 9 10 10 9 7 5 5 6 7 8 8 9 9 9 9 9 9 9 9 10 9 9 9 10 9 9 9 9 10 10 11 10 10 8 7 6 6 8 9 10 10 10 10 10 10 10 10 10 11 12 13 14 13 11 10 10 11 12 12 11 11 11 11 11 10 10 9 9 9 8 7 7 7 7 7 7 7 7 8 8 9 11 12 13 13 13 13 12 11 10 9 9 9 8 8 7 7 8 8 8 8 7 7 8 nan
nan 10 9 8 8 8 7 7 8 8 9 9 10 11 10 8 5 5 6 10 15 20 22 22 19 16 15 14 13 12 10 9 8 8 8 8 9 9 9 10 11 12 13 14 15 15 15 14 15 15 16 16 16 16 15 11 6 3 4 6 8 8 8 8 8 7 6 6 5 6 6 7 7 7 7 7 7 7 6 6 5 5 5 6 7 7 6 4 3 3 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 10 10 11 11 9 8 7 6 6 7 8 8 8 8 8 9 9 10 10 10 10 11 12 13 13 12 10 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 10 11 12 13 13 14 13 11 10 9 8 8 8 8 8 9 9 8 8 8 8 8 8 nan
nan 10 10 9 8 8 8 8 8 8 9 10 10 11 10 8 7 7 9 13 18 22 24 21 18 15 14 13 12 11 10 9 9 8 8 8 9 9 9 10 10 12 14 16 16 16 16 16 16 17 17 16 16 14 12 8 6 6 8 10 11 12 11 11 10 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 5 5 4 3 2 2 3 4 5 6 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 9 8 7 7 7 8 8 8 8 7 8 8 8 9 10 10 9 9 10 11 12 11 10 9 9 9 10 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 12 12 11 10 9 8 7 8 8 9 9 9 9 9 9 9 9 9 nan
nan 10 10 10 9 9 9 9 9 9 9 10 11 11 11 10 9 9 11 14 18 21 21 18 16 15 13 12 11 10 10 10 9 8 8 8 9 9 9 10 11 13 15 16 17 16 16 15 15 15 15 15 14 13 11 10 10 11 13 15 15 15 13 12 11 10 9 8 8 7 7 7 7 7 7 7 6 7 7 7 7 6 5 5 5 5 6 6 5 4 2 2 2 3 4 5 7 8 8 8 8 9 10 10 10 10 10 10 10 11 11 12 12 11 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 11 11 10 10 9 9 9 10 10 10 10 10 9 9 10 11 11 10 9 8 8 8 8 9 9 9 9 9 9 10 10 10 nan
nan 10 10 10 10 10 10 9 10 10 10 11 11 12 11 10 9 9 11 14 17 18 17 14 13 12 12 11 10 10 10 10 9 9 9 9 10 10 10 11 12 13 16 17 17 17 16 15 15 14 14 14 14 14 13 13 15 16 17 17 15 13 11 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 6 5 4 3 2 2 3 5 7 8 9 9 9 10 10 10 10 10 10 11 11 12 13 13 11 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 11 12 12 11 10 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 10 9 8 7 7 7 8 8 9 8 8 8 8 10 11 10 nan
nan 9 10 10 10 10 10 10 11 11 11 12 12 12 11 10 9 9 11 14 16 16 14 12 10 10 9 9 9 10 11 11 10 10 10 10 11 11 12 12 13 14 16 17 17 17 16 16 15 14 14 14 15 15 16 16 17 17 16 14 12 11 9 8 8 8 9 10 11 11 11 11 11 10 10 9 10 10 9 8 7 6 7 7 8 8 8 8 8 8 7 6 5 4 3 2 3 5 8 9 9 9 9 9 9 9 9 9 10 10 11 13 13 12 10 8 8 8 8 8 9 9 9 9 9 10 9 9 8 8 8 8 9 10 11 11 11 11 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 7 6 6 6 7 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 11 10 nan
nan 9 10 10 10 10 10 11 11 11 12 12 12 12 11 10 9 9 12 14 14 13 12 11 10 9 8 8 9 10 11 12 13 12 11 11 11 11 12 12 13 14 15 16 16 16 16 16 16 15 15 16 16 16 17 18 18 16 15 13 11 11 10 10 10 11 11 12 13 13 14 13 12 11 11 11 12 12 11 10 8 7 7 7 8 8 8 8 8 8 8 8 7 6 5 3 4 5 8 9 10 9 9 8 8 9 9 9 9 9 10 12 12 12 11 10 9 8 8 8 9 9 9 9 10 10 10 9 9 8 7 6 6 8 9 10 11 11 10 10 11 11 12 13 13 12 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 9 9 10 10 10 nan
nan 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 11 12 12 11 11 10 10 10 9 9 9 9 10 11 13 14 14 14 13 12 11 11 12 12 13 13 14 14 15 15 15 15 15 16 16 16 17 17 17 17 16 15 14 13 12 11 11 11 12 13 13 12 12 11 11 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 5 4 5 8 10 11 10 9 8 8 8 8 8 8 8 9 10 11 11 11 12 11 10 9 10 10 10 10 10 10 10 10 10 10 9 8 7 6 7 8 9 10 10 10 10 9 10 11 13 13 13 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 10 11 10 10 10 nan
nan 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 10 11 11 10 9 8 8 9 9 10 10 10 10 11 11 12 13 14 14 14 13 12 11 11 11 11 12 12 13 13 13 14 14 14 15 15 16 16 16 16 16 15 15 14 13 11 9 9 9 11 11 11 10 9 8 7 7 7 8 9 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 8 10 11 11 10 9 8 9 9 8 7 7 7 8 9 10 11 11 11 11 11 11 12 12 11 11 10 10 11 11 11 11 11 9 8 8 9 10 11 11 11 10 9 8 8 10 13 13 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 8 8 7 7 7 8 9 8 8 8 9 11 11 11 11 11 nan
nan 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 10 10 9 8 8 7 8 9 10 11 11 12 11 11 11 12 13 14 14 13 12 11 11 10 10 11 12 12 12 13 13 13 13 13 14 14 15 15 14 14 14 14 13 13 11 8 7 7 8 9 9 8 6 5 5 6 6 7 7 7 6 6 7 8 9 9 9 9 8 7 8 8 8 8 8 8 8 8 6 5 5 7 10 11 10 9 8 8 9 10 10 9 7 6 6 7 8 9 10 11 11 11 11 12 12 12 11 10 9 9 10 11 11 11 10 9 9 9 9 10 11 12 12 10 8 7 9 12 12 12 11 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 8 8 8 8 9 10 9 8 7 8 9 11 11 12 12 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 11 12 12 12 11 11 11 11 13 13 13 12 12 11 10 11 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 10 9 8 8 8 7 7 5 4 5 6 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 6 5 5 7 10 11 11 9 7 6 7 9 10 10 9 7 6 6 7 9 9 10 10 10 11 11 12 12 12 11 8 7 7 8 9 9 9 9 10 9 8 8 10 12 13 12 9 8 9 10 12 12 12 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 11 10 8 6 6 7 8 10 11 12 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 11 11 12 11 11 10 11 12 12 12 12 12 11 11 12 13 13 12 12 11 10 9 9 10 10 11 11 11 11 11 12 12 12 12 13 12 11 9 7 6 6 7 7 7 7 8 10 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 5 5 7 9 10 11 10 8 7 7 8 9 10 11 10 8 7 7 8 9 9 9 9 9 10 10 11 11 10 9 7 6 6 7 8 8 8 9 9 7 7 8 11 12 11 9 9 9 9 10 12 12 12 10 9 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 10 10 11 12 11 9 7 6 6 6 7 9 10 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 10 10 11 11 11 11 12 14 14 14 13 12 11 9 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 10 7 5 3 4 7 8 9 10 10 12 12 13 13 13 12 11 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 7 8 9 9 9 9 9 8 8 7 7 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 5 6 7 7 7 8 8 6 5 7 8 9 8 7 7 8 8 9 10 12 13 12 10 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 11 10 8 7 6 7 7 8 8 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 12 14 15 15 14 12 10 8 7 8 8 9 9 8 8 9 9 9 9 9 10 10 9 7 5 3 3 5 7 8 9 8 8 9 10 12 14 15 15 14 12 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 4 4 5 6 7 7 7 7 5 5 6 7 6 5 4 5 5 6 6 8 10 11 12 12 10 9 8 7 7 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 8 9 10 11 11 11 11 10 9 8 7 7 7 6 nan
nan 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 8 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 10 13 15 16 15 13 11 8 7 7 8 9 9 9 9 9 9 10 9 9 9 10 10 9 7 6 5 5 6 8 8 8 7 6 6 7 10 12 15 16 17 14 12 11 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 4 3 4 6 7 8 8 7 6 5 6 7 6 5 4 4 4 5 5 6 8 9 11 12 11 10 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 9 7 6 6 6 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 9 11 13 16 16 15 12 8 6 6 6 7 8 9 9 9 9 10 11 10 10 10 11 10 9 9 9 8 8 8 8 9 9 8 8 7 7 8 9 11 13 14 12 11 11 11 11 11 11 9 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 6 4 4 6 7 8 8 7 6 6 6 7 8 7 6 6 6 6 6 6 7 8 9 11 11 11 10 9 8 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 10 9 8 6 6 6 nan
nan 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 10 10 10 10 10 11 13 14 15 15 14 11 8 6 5 6 6 7 8 9 10 10 11 12 11 11 12 12 9 10 11 12 12 11 10 9 10 10 10 11 11 10 8 7 7 7 8 8 8 8 9 10 10 10 10 10 9 9 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 7 8 9 9 8 6 6 6 7 8 8 8 7 7 7 7 8 9 8 7 7 6 6 6 7 8 9 10 11 11 11 9 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 10 9 9 8 7 7 nan
nan 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 10 11 11 11 11 12 13 14 14 14 13 11 8 7 6 6 6 7 7 8 9 10 11 12 12 13 14 12 9 10 12 14 15 15 14 12 12 12 12 12 13 12 10 8 6 5 5 5 5 5 5 6 8 9 10 11 10 9 8 7 6 6 5 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 6 5 5 5 7 8 9 8 7 6 6 7 7 7 7 7 7 6 6 7 8 8 7 6 5 4 5 7 8 8 9 10 12 11 9 8 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 9 9 9 nan
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nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 8 8 8 7 7 8 8 8 8 8 8 8 9 9 11 14 15 13 11 10 9 9 8 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 9 9 8 6 5 5 6 6 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 9 nan
nan 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 9 8 8 9 9 8 11 13 13 12 10 9 8 8 7 7 8 7 7 7 7 7 7 7 7 8 8 9 10 10 9 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 6 6 6 6 6 8 8 9 9 8 6 5 6 7 7 6 6 6 7 7 7 8 7 7 7 6 6 6 6 6 7 6 5 4 4 6 7 8 10 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 7 8 8 nan
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nan 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 10 10 10 10 11 12 12 11 10 11 11 11 10 9 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 9 9 10 10 10 10 9 8 8 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 7 6 6 6 6 5 5 7 8 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 10 12 13 13 13 13 12 12 12 12 12 13 13 13 13 13 12 12 12 12 13 13 13 14 13 13 12 11 10 9 10 10 10 9 9 nan
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nan 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 8 7 7 7 7 8 9 9 10 11 11 12 13 13 14 13 13 12 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 8 6 6 6 6 7 8 8 9 10 10 11 11 11 11 10 10 10 11 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 10 10 9 9 9 9 9 9 9 8 8 9 9 10 11 12 12 12 12 12 12 11 11 10 10 11 12 11 9 8 7 7 8 8 8 8 9 8 8 8 9 11 12 12 10 7 6 6 7 8 8 8 8 8 8 8 8 9 10 9 nan
nan 8 8 8 7 7 8 8 9 9 9 10 10 10 9 9 8 7 6 6 6 7 8 9 9 10 11 12 13 13 14 13 13 12 11 11 11 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 7 8 9 9 10 9 9 8 8 8 8 8 9 9 10 10 11 11 12 12 11 11 11 12 12 12 11 11 11 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 12 11 11 12 13 14 13 11 9 7 6 5 5 6 6 7 7 7 6 8 10 12 12 11 9 7 6 6 6 7 8 8 8 8 8 9 10 11 10 nan
nan 9 8 8 7 7 7 8 9 9 9 10 10 10 9 9 8 7 6 5 5 6 7 8 9 10 11 12 13 13 14 14 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 10 9 9 9 8 8 7 7 6 5 6 6 7 8 9 10 10 10 10 10 10 11 10 10 10 10 10 11 12 13 13 13 12 12 13 13 13 14 13 13 13 12 11 10 10 9 8 7 6 6 7 7 7 7 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 12 14 15 15 15 12 10 7 5 4 5 5 5 5 4 5 6 8 10 11 11 10 8 6 6 6 6 7 8 8 8 9 10 11 10 9 nan
nan 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 6 5 4 5 6 7 8 9 10 11 12 13 14 14 14 13 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 6 6 6 7 8 9 9 10 10 10 10 11 12 12 12 11 11 11 11 13 14 14 13 13 12 13 14 14 15 16 16 16 15 13 12 11 10 10 9 8 7 6 6 7 7 7 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 13 15 17 18 17 15 12 8 7 7 6 5 3 3 4 5 6 8 10 11 10 8 7 6 6 6 7 7 7 7 8 10 9 8 6 nan
nan 9 8 7 8 9 10 10 10 10 9 9 10 10 10 9 7 6 4 4 5 6 7 8 9 10 11 12 13 14 15 14 13 12 12 12 12 12 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 11 12 13 13 12 11 11 12 14 14 13 12 12 12 13 14 15 16 18 19 18 16 15 13 12 11 10 10 8 7 6 6 7 7 7 7 8 8 8 9 9 9 9 8 8 9 8 8 8 9 10 10 11 10 10 10 10 10 10 11 11 12 12 13 15 17 18 19 18 16 14 11 9 7 4 3 3 4 5 6 8 9 10 9 7 6 6 7 7 7 7 7 6 7 7 7 6 5 nan
nan 7 7 7 8 9 10 10 10 10 9 9 9 9 9 8 7 5 4 4 5 6 7 8 10 10 11 12 14 15 15 14 12 12 12 12 12 12 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 11 12 12 12 11 11 12 12 13 13 12 12 12 13 13 14 15 16 18 19 18 17 16 14 13 12 11 10 8 8 7 7 8 8 8 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 10 10 11 11 12 13 13 14 14 15 17 18 17 15 12 9 5 4 4 6 7 7 8 10 10 9 8 7 7 8 8 7 7 7 7 7 6 5 5 6 nan
nan 7 7 8 8 8 9 9 9 10 10 10 9 9 9 8 7 6 5 5 6 6 7 8 10 11 12 13 15 15 15 13 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 11 11 11 11 11 11 12 12 12 12 12 12 12 13 14 15 16 16 17 16 16 16 16 15 14 13 11 10 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 11 11 12 11 11 11 12 14 16 17 16 14 11 8 7 7 8 8 8 9 10 11 10 8 7 7 8 8 7 7 7 7 7 6 5 5 6 nan
nan 9 9 9 8 8 8 8 9 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 10 11 12 15 16 16 14 12 11 11 11 11 10 10 10 9 10 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 9 8 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 10 11 11 11 10 11 11 11 11 11 11 11 12 12 13 15 16 16 16 14 14 14 14 15 15 14 13 12 11 10 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 10 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 12 14 15 15 14 12 10 10 10 10 9 9 9 10 12 11 9 7 7 9 9 8 7 6 7 7 8 7 7 7 nan
nan 11 10 10 9 9 9 9 9 10 10 10 11 11 10 9 8 8 8 8 9 9 10 10 10 11 13 15 16 15 14 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 9 9 9 10 10 9 9 8 7 7 8 9 9 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 15 16 16 15 12 11 11 11 12 13 13 13 13 13 12 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 10 11 11 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 10 11 12 13 13 12 12 11 11 11 10 9 8 9 11 11 10 9 8 9 10 9 7 6 6 7 8 8 8 9 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 11 11 11 11 12 13 14 14 13 12 11 11 11 10 10 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 8 7 7 7 8 9 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 14 16 16 14 12 10 8 9 10 11 12 13 13 13 13 12 11 10 9 10 10 10 9 8 8 9 9 8 7 5 4 5 8 9 10 11 11 11 10 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 11 11 11 10 8 7 9 10 11 10 8 7 8 8 7 7 7 7 7 6 7 8 nan
nan 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 11 12 11 11 11 12 13 13 13 12 11 10 10 10 10 10 10 10 11 11 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 6 6 7 8 9 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 14 16 16 15 12 9 8 8 9 10 11 11 12 13 12 12 11 9 9 9 10 11 10 10 9 10 11 10 7 4 1 1 3 4 7 10 12 13 12 11 9 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 10 11 12 12 12 12 12 10 8 7 8 11 13 12 9 6 5 5 6 7 7 6 6 6 7 9 nan
nan 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 11 12 12 11 11 11 11 12 12 12 11 10 10 9 9 9 9 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 6 5 5 5 6 7 8 9 9 10 11 11 12 12 12 12 12 12 12 11 10 10 10 10 11 12 12 12 12 13 14 15 16 16 13 10 9 9 9 10 10 10 11 11 11 11 11 9 9 9 10 11 11 11 10 11 11 11 10 8 4 2 1 1 2 6 10 12 13 12 11 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 10 11 12 13 13 13 12 11 8 7 8 10 12 13 10 8 6 6 6 7 7 7 7 8 10 11 nan
nan 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 11 12 12 12 11 10 10 9 9 9 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 10 9 8 7 5 5 5 6 6 7 8 8 9 9 11 12 13 13 13 12 12 12 12 11 9 9 9 11 12 12 11 11 11 12 12 13 14 14 12 10 10 9 9 8 8 8 9 9 10 10 10 9 9 8 8 9 10 10 11 11 11 12 12 12 10 7 5 3 3 5 8 10 11 10 10 9 9 9 9 9 8 8 9 8 6 4 3 3 4 4 6 8 11 12 14 14 13 12 12 10 9 7 7 6 7 8 8 9 9 9 9 10 10 11 11 12 13 13 nan
nan 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 12 12 12 11 11 10 10 11 12 13 12 11 10 10 9 9 8 8 7 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 9 8 7 7 6 5 5 6 6 7 8 8 9 10 11 13 13 13 13 12 13 13 12 11 10 9 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 8 8 7 7 8 8 9 9 10 9 9 8 7 7 8 9 10 11 11 12 12 12 12 12 11 10 10 9 9 8 8 7 8 8 9 9 9 8 8 8 7 6 4 1 0 1 2 4 7 10 12 13 14 13 12 12 12 12 11 10 7 4 2 3 5 8 10 12 13 14 15 15 16 16 14 13 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 12 12 12 11 11 11 11 12 13 14 13 12 10 9 9 8 7 7 6 7 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 7 7 7 8 9 10 11 12 13 13 12 11 11 12 12 12 11 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 12 12 11 10 9 9 8 8 8 9 10 10 10 9 8 8 8 8 9 10 11 11 12 11 11 11 12 13 14 14 13 12 9 7 6 7 8 8 8 7 6 5 5 4 3 2 1 2 4 6 9 11 13 14 13 13 13 13 14 15 16 17 16 13 9 6 6 7 10 12 14 15 15 16 17 17 16 14 12 nan
nan 10 10 10 10 10 11 11 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 11 10 9 8 7 6 6 5 6 8 9 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 11 12 12 11 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 12 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 11 12 14 15 15 14 11 7 5 6 7 7 6 4 2 1 1 1 2 3 5 8 11 13 15 15 15 15 15 15 16 17 18 18 19 19 20 18 16 14 13 13 13 13 13 14 14 14 15 15 15 13 12 nan
nan 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 9 8 8 6 5 5 6 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 9 9 9 9 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 9 9 9 9 9 10 11 12 12 12 12 13 15 14 13 11 10 11 12 12 13 13 14 14 12 8 5 4 4 4 3 1 0 0 2 4 6 10 14 17 18 18 18 18 18 18 19 19 20 19 18 16 15 15 16 16 16 16 16 15 14 14 13 12 12 13 13 13 12 12 11 nan
nan 9 9 9 9 10 11 11 11 11 10 9 9 9 9 9 8 8 8 9 9 10 10 10 10 11 11 11 11 11 10 10 8 7 6 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 10 11 11 11 11 10 9 9 9 9 9 8 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 12 10 9 9 8 8 9 9 10 11 12 13 13 13 14 15 14 13 12 12 13 14 15 14 14 13 14 13 11 9 6 5 4 4 4 4 6 9 12 15 19 22 23 22 20 19 19 20 21 20 19 17 15 12 9 9 10 11 11 13 15 17 18 17 16 15 14 13 13 12 11 10 9 9 nan
nan 9 9 9 9 10 11 11 10 10 10 10 9 9 9 9 8 7 7 8 9 10 10 9 9 9 10 11 11 12 11 10 9 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 10 10 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 12 13 13 12 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 10 9 9 8 8 9 9 10 11 11 11 11 12 13 13 12 12 13 14 16 17 17 16 15 15 15 16 16 16 14 11 10 10 10 12 14 17 20 22 23 22 21 18 15 15 15 16 16 15 13 11 8 6 6 7 8 10 12 14 17 19 21 21 20 18 15 13 12 11 10 9 9 9 nan
nan 9 10 10 10 11 10 10 10 10 10 10 10 10 10 9 8 7 6 7 9 9 9 8 8 8 9 10 11 11 10 10 8 7 7 7 8 7 7 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 10 11 11 11 11 11 10 11 11 11 11 11 10 10 9 9 9 9 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 11 10 11 11 13 14 15 15 15 15 15 16 16 17 17 17 16 15 14 14 14 15 17 19 20 20 18 15 13 10 10 11 12 13 12 10 9 7 7 7 8 9 10 12 15 17 19 21 22 22 20 17 13 11 10 10 10 10 10 10 nan
nan 10 10 11 11 11 10 9 9 9 9 10 11 10 10 9 7 7 6 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 10 11 11 11 11 11 11 12 11 11 11 10 10 10 9 8 9 9 10 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 10 9 10 10 10 10 10 9 9 9 10 9 9 9 10 11 12 12 12 12 12 13 14 14 14 14 13 13 13 13 13 13 13 15 15 15 14 13 12 12 12 13 14 15 15 14 13 12 11 12 12 13 13 12 13 14 15 16 17 17 17 16 13 11 9 9 9 10 11 11 11 nan
nan 11 11 12 11 11 10 9 8 8 9 10 10 10 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 9 9 9 10 10 10 10 11 11 11 10 10 9 8 8 9 9 9 9 9 10 11 12 11 11 11 12 12 12 11 11 11 11 11 10 9 9 9 10 11 10 10 11 11 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 11 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 12 12 12 12 13 15 17 19 19 19 18 17 17 17 16 16 16 16 16 14 12 12 12 12 12 12 13 13 13 12 11 10 10 10 11 11 11 11 nan
nan 11 11 11 11 11 10 9 8 9 9 10 10 10 10 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 8 8 8 9 10 10 10 10 11 12 12 12 11 11 12 12 11 10 11 12 12 12 11 11 11 11 12 12 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 13 13 13 14 15 17 18 19 19 18 17 16 15 15 15 15 15 15 14 13 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 12 12 nan
nan 11 11 11 11 10 10 10 9 9 10 10 10 10 11 10 10 9 9 8 8 9 9 9 9 9 8 8 8 7 8 8 9 10 11 11 11 11 11 11 10 10 10 11 11 10 10 9 9 8 8 8 9 10 11 12 11 11 11 12 12 12 12 11 11 10 10 10 11 12 13 13 12 12 12 12 13 13 13 12 12 11 10 10 10 10 11 10 9 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 11 11 11 10 9 8 8 7 7 6 6 6 6 7 7 8 9 9 10 10 9 9 9 9 8 7 7 9 10 12 14 14 15 15 15 15 15 15 15 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 13 nan
nan 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 9 10 11 12 12 12 12 11 11 11 10 11 11 11 10 9 8 7 7 8 8 9 10 12 13 11 10 9 10 11 12 13 12 11 10 9 9 11 12 13 12 12 11 11 11 12 12 13 13 14 13 11 11 11 11 11 10 8 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 10 8 7 6 6 7 6 4 3 2 2 3 3 5 7 8 9 9 8 8 8 7 4 4 6 9 13 14 15 15 15 15 14 13 13 12 12 12 11 11 12 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 11 11 12 12 12 nan
nan 10 10 11 11 11 12 12 11 11 11 11 11 12 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 10 10 9 8 7 7 8 9 10 11 12 12 11 10 9 9 11 12 14 14 13 11 10 10 11 12 12 11 10 9 8 8 9 11 12 13 14 14 14 13 13 13 11 10 9 9 10 12 13 13 12 12 12 11 11 10 10 11 11 11 10 10 10 10 10 9 9 8 8 8 9 9 9 9 8 7 5 5 5 6 8 8 6 5 3 1 0 -0 0 2 5 6 6 6 5 4 3 2 3 7 12 16 15 14 13 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 11 11 11 12 12 13 13 13 13 13 12 11 11 11 11 11 nan
nan 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 9 8 8 8 9 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 7 8 9 10 11 12 12 12 12 12 12 11 11 12 13 14 14 13 11 10 11 11 11 10 9 7 6 6 7 9 10 11 12 13 14 16 17 16 14 13 12 11 12 14 15 15 14 14 14 13 13 12 12 12 12 11 11 11 11 10 10 10 9 8 8 7 7 6 5 4 3 3 3 4 6 9 10 10 10 10 8 5 3 1 0 1 3 5 4 3 2 2 2 4 9 14 18 18 14 12 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 13 13 13 13 13 12 12 11 11 11 11 nan
nan 11 12 12 12 12 12 12 12 12 12 13 13 12 12 10 9 8 8 8 9 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 7 8 8 10 11 12 12 12 13 13 13 13 12 12 12 12 13 13 12 11 11 11 11 11 11 10 8 7 6 6 7 8 8 9 10 12 14 17 18 17 16 14 13 13 13 14 14 14 14 14 14 14 14 14 13 11 11 11 11 10 10 10 10 10 8 7 5 3 2 1 1 1 2 4 6 8 10 11 12 12 13 12 11 9 7 5 6 7 7 6 4 3 4 8 12 17 21 22 19 15 12 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 13 13 13 11 10 10 11 12 12 12 12 12 12 13 12 12 11 11 11 10 10 nan
nan 11 11 10 11 11 11 11 12 12 12 12 13 12 11 10 9 8 8 8 9 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 8 7 8 9 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 10 9 8 7 7 7 7 7 7 8 9 10 12 14 15 16 15 14 13 13 12 12 12 12 12 13 13 13 12 11 11 11 10 10 9 8 9 9 9 8 7 6 4 3 3 3 4 5 7 9 10 11 11 12 12 12 13 13 12 11 11 11 12 12 10 9 8 10 14 18 20 22 20 17 14 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 13 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 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
CAPE
4 0 0 0 0 0 0 0 24 103 249 484 841 1349 2014 2618 2985 3118 3078 2983 2884 2804 2730 2650 2562 2479 2415 2378 2332 2280 2249 2257 2289 2322 2349 2372 2390 2393 2365 2293 2196 2174 2218 2275 2363 2502 2701 2955 3260 3527 3749 3904 4049 4197 4270 4262 4234 4210 4210 4245 4295 4315 4277 4084 3696 3273 2817 2342 1895 1536 1268 1075 917 791 701 641 596 560 528 501 472 447 420 390 375 373 373 376 372 364 359 368 400 445 475 488 475 432 370 311 273 241 210 181 156 139 123 111 101 88 65 37 19 10 3 1 1 1 1 1 1 0 0 0 0 0 1 3 6 16 16 21 27 35 47 58 46 29 46 104 191 306 462 679 682 680 672 649 614 572 505 429 363 270 172 94 45 22 14 10 8 8 10 11 8 2 1 3 4 4 3 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0
5 1 0 0 0 0 0 0 0 0 3 28 117 264 621 1261 2023 2636 2973 3032 2950 2846 2766 2699 2621 2540 2468 2411 2358 2303 2265 2261 2277 2296 2319 2352 2382 2391 2359 2285 2208 2223 2294 2376 2484 2650 2888 3171 3515 3733 3946 4105 4225 4317 4335 4289 4263 4247 4256 4285 4303 4262 4118 3826 3415 2946 2456 1982 1572 1280 1063 893 746 626 534 468 420 384 343 326 308 289 270 248 234 230 231 227 220 213 209 211 224 242 263 281 292 295 287 259 230 213 201 191 178 157 130 124 113 95 69 44 28 15 5 2 2 1 1 1 1 1 0 0 0 0 0 0 1 4 9 19 30 39 48 49 39 32 44 79 139 228 369 629 629 598 560 530 520 522 483 394 299 200 111 49 14 1 2 2 2 3 6 9 3 1 1 2 3 3 3 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0
15 6 2 0 0 0 0 0 0 0 0 0 1 13 41 259 781 1539 2290 2815 3006 2950 2824 2727 2661 2582 2500 2432 2380 2335 2299 2277 2267 2273 2293 2329 2368 2377 2346 2297 2272 2310 2387 2491 2630 2814 3054 3358 3730 3943 4135 4279 4368 4400 4370 4307 4315 4300 4297 4280 4216 4080 3838 3479 3059 2611 2171 1765 1415 1150 942 760 608 486 396 336 298 274 227 205 187 171 158 144 134 131 123 110 103 104 102 101 101 104 110 117 130 147 158 154 150 151 155 157 153 139 119 130 126 109 85 62 42 24 11 4 2 2 2 1 1 1 0 0 0 0 1 1 1 4 11 20 26 31 34 31 22 23 48 110 203 309 416 520 508 443 386 375 409 427 434 381 292 192 106 46 10 3 1 0 0 1 5 12 8 4 2 1 2 3 2 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0
41 22 10 3 1 0 0 0 0 0 0 0 0 0 1 15 137 488 1126 1939 2641 2981 2973 2818 2683 2594 2514 2465 2435 2411 2378 2333 2290 2273 2296 2319 2350 2357 2344 2344 2368 2416 2502 2631 2799 3009 3284 3651 3952 4160 4328 4434 4465 4431 4365 4290 4316 4288 4247 4163 4006 3767 3422 3018 2593 2169 1796 1485 1218 985 784 606 462 354 280 231 199 181 147 122 103 88 77 69 66 63 57 46 40 39 37 36 35 33 32 34 40 48 50 45 53 66 78 90 96 93 89 104 106 95 76 58 43 27 18 11 6 3 2 1 1 0 0 0 0 0 1 1 2 7 15 17 15 15 15 13 13 19 40 109 253 459 615 612 507 378 291 276 295 356 404 406 358 269 165 85 39 16 5 1 0 0 2 6 14 12 6 1 1 2 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0
72 46 26 13 4 0 0 0 0 0 0 1 1 1 2 2 7 68 284 765 1539 2406 2889 2947 2788 2640 2552 2523 2524 2524 2493 2432 2366 2327 2348 2362 2373 2374 2377 2405 2465 2547 2664 2797 2991 3262 3583 3895 4158 4361 4504 4564 4530 4432 4326 4221 4191 4115 3996 3817 3567 3242 2832 2419 1985 1579 1256 1021 842 689 538 403 298 226 179 145 120 102 82 66 52 41 32 28 26 23 18 13 10 13 14 13 13 13 12 14 16 15 11 7 9 13 18 24 30 34 44 53 53 45 33 23 21 16 13 8 3 1 1 1 1 0 0 0 0 0 0 0 4 11 16 16 11 7 4 3 3 2 6 46 173 462 678 691 587 440 329 305 295 345 383 386 363 316 234 154 91 47 18 4 0 0 0 1 9 13 10 4 1 2 1 1 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0
76 54 35 21 9 0 0 0 0 0 0 1 1 1 2 3 3 7 35 131 431 1216 2097 2716 2930 2846 2709 2638 2646 2656 2621 2548 2477 2449 2462 2472 2463 2440 2431 2465 2548 2678 2855 2999 3219 3522 3846 4136 4367 4534 4621 4617 4510 4336 4176 4034 3858 3658 3415 3128 2809 2463 2052 1700 1352 1033 772 577 441 354 278 212 159 123 100 84 70 56 45 37 28 18 10 8 8 6 5 3 3 3 5 7 8 7 8 11 12 10 8 5 2 1 1 2 5 6 10 13 13 10 6 3 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 2 6 11 14 12 7 2 1 0 0 0 2 12 47 202 428 602 640 571 488 443 409 414 390 347 309 289 270 214 154 97 49 16 3 0 0 0 3 7 10 9 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0
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