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 10 10 10 10 8 7 7 6 6 6 6 6 7 7 8 9 9 10 10 9 9 8 8 8 7 7 7 8 9 11 11 10 7 5 4 5 7 10 11 11 11 10 10 11 11 11 11 10 9 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 12 11 10 10 10 10 10 9 8 8 8 nan
nan 9 10 10 10 8 7 7 7 7 7 7 7 7 8 8 9 10 11 10 9 8 7 7 7 7 8 7 7 7 8 10 9 7 5 4 3 5 7 9 11 11 11 11 11 11 11 11 10 9 10 11 12 12 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 10 10 10 10 9 9 9 nan
nan 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 10 11 11 11 10 8 7 7 7 8 8 7 7 6 7 9 9 8 6 5 4 5 6 8 10 11 12 12 12 12 11 11 10 11 12 13 13 13 12 11 11 11 10 9 9 9 8 8 8 9 9 10 10 10 9 9 8 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 8 8 8 9 9 10 10 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 7 8 9 9 10 10 9 9 9 9 nan
nan 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 8 7 7 6 6 6 8 9 11 12 12 12 12 11 11 11 12 14 15 15 14 12 11 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 12 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 9 nan
nan 7 8 9 9 8 8 9 8 7 6 5 6 7 7 7 6 7 8 9 9 10 10 10 9 8 7 7 6 6 6 7 7 6 7 7 8 8 7 8 8 9 9 9 9 10 10 10 11 13 15 17 16 14 11 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 9 10 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 7 8 nan
nan 7 9 10 10 9 8 7 6 4 1 -0 1 3 4 4 4 3 4 6 9 10 11 11 10 9 7 6 6 6 6 5 5 5 5 6 8 8 8 7 7 7 7 6 7 8 9 9 10 12 14 16 16 13 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 10 9 8 8 9 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 9 8 8 8 7 6 6 7 nan
nan 8 9 10 10 9 7 5 3 0 -2 -3 -2 1 3 3 1 -1 -0 4 8 10 11 11 11 10 9 8 7 7 6 5 4 4 4 5 7 7 7 7 7 7 7 7 8 9 10 9 8 10 12 14 13 11 10 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 10 9 8 8 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 9 9 8 8 7 8 8 9 10 10 10 9 9 9 10 11 12 12 13 13 13 12 12 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 9 9 8 9 9 9 8 7 6 5 5 6 6 6 7 nan
nan 9 10 11 11 10 7 4 1 -1 0 1 3 5 6 3 0 -3 -3 2 7 10 11 12 13 13 12 11 10 9 8 7 5 4 4 5 6 7 7 7 8 9 10 10 10 10 9 8 8 8 10 11 12 11 10 9 8 7 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 10 10 10 10 11 11 12 13 13 13 13 12 11 9 8 7 6 7 7 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 9 9 10 11 12 12 13 13 13 13 13 13 13 12 12 11 11 11 10 10 9 9 8 8 8 8 8 9 8 6 5 5 5 6 6 5 5 5 6 7 8 8 nan
nan 11 11 12 12 10 7 4 2 2 5 7 10 11 10 6 2 -2 -2 2 6 8 10 12 14 15 15 14 12 10 9 8 7 6 6 7 7 8 9 10 11 11 11 11 11 11 10 10 10 10 10 11 12 12 11 10 8 7 7 7 8 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 11 12 13 13 13 13 13 13 11 9 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 10 11 11 11 11 12 13 13 14 13 12 12 11 11 11 10 10 9 8 8 8 8 9 9 8 6 5 4 4 5 6 7 7 7 8 8 9 9 nan
nan 12 12 12 11 9 7 5 4 5 7 9 11 13 12 9 5 2 1 3 5 6 7 9 12 14 16 15 13 11 10 9 9 8 9 9 10 12 13 14 14 13 12 11 11 12 12 12 13 13 12 13 13 13 13 11 9 8 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 13 13 13 12 12 12 13 13 11 9 8 7 8 8 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 10 9 9 9 9 9 10 9 9 10 10 12 13 13 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 7 7 8 9 nan
nan 11 11 10 8 7 6 6 6 7 8 9 11 13 13 11 9 6 5 5 5 5 5 6 9 12 13 13 11 10 9 9 9 9 10 12 13 15 16 17 17 15 14 13 13 13 13 14 14 15 15 15 15 15 14 12 11 9 7 6 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 9 10 10 10 11 12 13 12 12 11 12 13 14 13 11 9 8 8 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 10 10 10 9 9 9 9 9 9 9 9 9 9 10 12 12 12 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 6 6 7 8 nan
nan 10 8 5 4 4 6 8 9 9 9 11 12 13 14 13 11 9 8 7 6 5 5 6 8 10 10 9 8 7 7 7 8 9 11 13 14 16 17 17 17 15 14 13 13 13 14 14 14 14 15 16 16 16 16 14 11 9 7 6 5 6 6 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 11 10 10 10 10 10 10 11 11 12 12 12 12 13 14 13 12 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 9 10 10 10 9 8 7 7 8 8 8 9 10 10 9 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 nan
nan 6 4 2 2 5 9 12 12 11 10 12 14 15 14 13 11 10 9 8 7 7 7 8 9 9 7 6 4 4 4 5 7 8 10 12 13 14 14 14 13 12 12 12 12 12 12 12 12 13 14 15 15 16 16 14 11 9 6 4 3 4 4 6 8 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 12 12 11 11 10 10 10 10 10 10 11 12 12 12 13 14 14 13 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 7 7 7 7 8 9 10 10 9 8 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 nan
nan 4 3 4 7 10 15 17 14 11 10 12 14 14 13 11 10 9 9 8 8 8 9 9 9 9 8 6 4 2 1 2 4 7 8 10 11 11 11 11 10 10 11 11 11 11 10 10 11 11 12 13 14 15 15 14 11 8 5 2 0 1 2 5 7 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 10 9 9 9 9 9 10 12 12 12 12 12 13 13 12 11 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 10 11 11 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 9 nan
nan 6 7 9 12 15 18 17 13 10 9 10 11 11 11 10 9 9 9 9 10 10 10 10 11 12 12 11 8 4 1 0 2 4 7 8 9 9 10 10 10 10 10 10 10 10 9 10 10 10 11 12 13 14 15 14 11 7 3 -1 -3 -2 1 4 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 11 10 9 9 9 9 9 10 11 12 13 13 12 12 12 13 12 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 9 9 9 8 8 9 9 9 nan
nan 11 12 13 13 13 13 12 9 8 8 9 10 10 10 10 11 11 11 11 12 13 14 14 15 17 19 18 15 8 2 -0 1 3 5 7 8 9 10 10 10 10 10 10 9 9 10 10 10 10 11 12 14 15 17 16 13 8 4 -1 -4 -4 0 4 7 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 10 9 8 8 8 9 10 11 12 13 13 13 12 12 12 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 10 9 8 8 8 9 9 9 9 10 11 11 11 10 9 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 13 13 12 9 7 6 6 6 6 8 10 12 13 13 14 14 14 14 14 14 15 16 17 18 19 21 21 17 11 5 2 2 4 5 7 8 9 10 10 11 11 10 9 9 9 10 10 10 11 11 13 16 18 20 20 17 12 7 2 -2 -2 1 5 8 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 12 11 10 9 9 8 8 8 9 9 10 12 13 14 13 11 11 12 12 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 11 10 8 8 9 9 9 8 7 7 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 nan
nan 12 12 9 5 2 3 4 5 7 11 15 18 19 17 16 15 15 15 14 14 15 15 16 16 17 18 18 15 10 6 4 3 4 5 6 8 9 10 11 11 11 10 9 9 9 10 10 10 11 12 14 19 23 24 23 19 14 9 4 1 1 4 7 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 9 10 11 12 13 12 11 11 11 12 12 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 9 10 10 10 10 9 10 10 9 9 8 7 8 9 10 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 8 8 nan
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nan 9 9 9 8 10 13 14 14 12 11 13 15 16 14 12 11 10 10 10 10 10 11 12 13 15 15 14 10 6 2 1 0 2 4 6 9 10 11 12 12 11 10 9 9 9 10 10 11 11 13 16 21 24 24 22 16 9 5 3 3 4 6 7 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 11 11 10 9 9 9 8 9 9 10 10 10 10 11 12 13 12 11 11 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 11 11 10 9 9 9 9 9 9 8 8 8 9 10 11 11 9 8 9 10 10 11 12 12 11 10 10 10 9 9 9 9 10 10 10 10 8 7 7 7 8 8 8 7 nan
nan 8 8 9 12 15 18 17 16 13 10 11 12 13 13 12 10 9 9 8 9 9 10 11 12 13 13 11 7 4 1 1 1 2 4 6 8 10 11 12 11 10 9 9 9 10 10 11 12 13 14 15 18 19 19 16 12 7 4 4 4 5 6 6 7 8 9 9 9 10 10 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 8 8 8 9 9 10 11 11 11 11 11 11 10 9 9 8 8 8 9 10 10 10 10 10 11 12 13 13 12 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 10 11 12 10 9 9 9 10 10 11 11 10 10 10 9 9 8 8 8 8 9 9 10 9 7 6 6 7 8 8 7 nan
nan 8 7 10 14 16 17 16 15 14 13 12 12 12 12 11 10 9 8 8 9 9 10 10 10 10 9 7 5 4 4 4 4 4 4 6 8 10 11 12 11 9 8 8 9 10 11 12 13 13 13 13 14 14 13 11 8 5 3 3 4 6 8 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 10 9 8 8 7 8 9 9 10 11 11 11 11 12 13 13 14 13 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 10 9 8 7 7 8 8 8 8 8 8 9 10 12 13 12 11 11 11 10 10 10 10 10 9 9 9 9 8 7 7 7 8 8 9 9 8 8 7 8 8 9 9 nan
nan 9 9 11 14 14 14 13 13 14 15 14 13 12 12 11 10 9 8 8 9 11 11 10 8 7 6 6 7 8 10 10 8 6 6 7 9 10 11 11 10 9 8 8 9 10 11 12 13 13 12 11 10 9 9 8 6 3 1 1 2 5 7 9 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 10 11 11 11 11 11 12 13 14 14 14 13 13 12 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 9 8 7 7 7 7 7 8 8 8 9 10 12 13 13 13 13 13 12 11 11 11 10 9 9 9 9 9 8 7 7 7 7 9 9 10 10 10 10 10 11 11 nan
nan 11 11 13 13 12 11 11 13 15 15 15 14 13 12 11 9 8 7 8 10 12 12 10 7 5 6 8 11 13 15 15 12 9 8 8 9 10 10 10 10 8 8 8 9 10 11 12 13 13 11 10 8 8 8 7 5 3 1 0 1 3 6 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 12 12 12 13 13 14 13 13 13 13 13 13 11 11 10 10 10 11 11 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 9 8 7 7 7 7 8 9 9 9 10 12 13 13 13 13 14 14 13 13 12 12 11 10 9 9 9 9 8 8 7 8 9 10 11 12 13 13 14 14 15 nan
nan 14 16 15 13 11 10 11 12 13 14 14 13 13 13 11 10 8 7 8 9 10 10 7 4 5 8 12 14 16 17 17 15 12 10 9 9 10 10 10 9 8 8 8 9 10 11 12 12 12 12 11 10 9 8 8 6 5 4 4 4 6 7 9 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 12 12 11 11 11 11 10 10 10 9 10 10 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 11 12 13 14 15 13 12 10 10 10 11 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 11 12 12 13 13 14 14 14 14 13 13 13 12 12 11 11 11 11 10 10 11 12 13 13 14 14 15 17 18 18 nan
nan 18 19 18 15 12 10 10 11 11 11 11 12 13 13 12 11 9 8 8 7 7 5 2 2 6 12 15 15 14 14 14 14 13 12 10 9 9 10 10 9 9 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 9 9 8 9 9 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 13 15 15 13 11 10 10 11 12 12 11 10 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 9 10 11 11 10 11 11 11 11 12 12 13 13 14 14 14 14 14 13 13 12 13 13 14 15 15 16 16 16 16 15 15 17 18 18 nan
nan 19 19 18 15 11 9 8 9 9 8 9 10 12 12 12 12 11 10 8 6 3 1 1 6 11 15 16 13 10 9 10 12 12 12 11 9 9 9 9 9 8 8 8 9 10 11 11 10 10 9 9 9 9 11 12 13 13 12 12 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 11 12 14 15 14 12 10 10 11 12 13 13 11 10 9 9 9 8 8 8 8 8 9 9 9 8 8 7 8 8 8 9 9 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 10 10 11 12 13 13 13 13 13 12 12 13 14 15 16 16 17 18 17 16 15 14 13 14 14 nan
nan 15 15 13 11 8 6 7 8 8 8 8 9 10 11 11 11 11 10 7 3 -0 -1 3 11 16 17 16 11 8 7 9 11 12 12 11 10 9 9 9 8 8 8 8 8 10 11 11 10 10 9 8 8 9 11 12 13 14 13 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 11 11 10 10 10 10 11 10 10 10 10 11 12 13 13 14 14 12 10 10 11 12 14 14 13 12 11 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 11 11 10 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 10 11 12 12 12 12 13 13 14 13 13 13 14 15 15 14 13 12 11 12 12 nan
nan 9 9 8 6 4 3 6 10 13 13 12 10 10 8 8 8 8 7 4 0 -1 1 7 13 16 16 14 11 9 10 10 12 12 12 11 10 9 9 8 8 7 7 7 8 9 10 10 10 10 9 9 9 10 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 11 12 12 12 11 10 10 10 10 10 10 10 9 9 9 10 11 13 13 13 12 10 9 10 12 14 16 16 14 12 10 9 8 8 8 8 9 8 8 8 8 9 9 10 10 9 9 8 8 9 10 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 13 13 12 12 11 10 11 11 11 11 12 12 12 12 12 nan
nan 5 6 6 5 4 3 8 15 20 21 17 12 9 6 5 5 5 4 3 0 1 6 11 14 15 14 13 12 12 12 11 11 11 11 11 11 10 9 8 7 7 6 7 7 8 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 10 10 10 10 10 9 9 9 9 9 10 10 11 12 11 10 8 9 10 13 16 18 17 15 12 10 8 7 7 8 8 9 9 8 8 8 9 9 9 10 10 9 8 7 7 7 7 7 6 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 10 10 11 12 12 12 12 nan
nan 6 7 9 10 9 8 11 17 21 23 19 14 9 5 2 2 3 4 5 5 7 11 15 15 14 12 11 11 12 11 10 9 9 10 11 11 11 10 9 8 7 6 6 7 7 8 8 9 9 10 10 11 11 10 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 10 10 10 9 9 8 8 8 9 9 10 10 10 9 9 8 9 11 14 17 18 16 14 12 9 7 6 7 7 8 9 9 8 8 8 8 8 9 9 10 9 8 7 6 5 5 5 6 7 9 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 11 12 12 12 nan
nan 10 11 13 15 15 13 14 18 20 21 18 13 7 3 1 2 5 8 11 12 13 15 15 14 12 10 10 10 10 9 9 8 8 9 10 11 11 11 10 9 8 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 8 9 9 9 10 11 11 12 12 12 12 11 10 10 9 9 9 9 9 8 8 9 9 9 10 9 9 9 9 10 12 15 16 16 15 13 12 9 7 6 6 7 8 8 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 9 10 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 12 12 11 11 10 11 11 12 12 nan
nan 12 13 15 17 17 16 17 19 20 19 16 10 5 3 4 7 11 14 16 16 15 15 14 13 12 11 11 11 11 9 8 8 7 8 9 10 10 11 11 10 9 8 7 7 7 7 8 8 9 10 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 11 11 10 9 9 8 8 8 9 9 10 10 11 11 12 12 12 12 11 10 10 9 9 10 9 9 9 9 9 9 9 9 10 9 10 10 11 13 14 15 15 14 13 12 10 7 6 6 6 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 14 15 16 17 18 18 18 18 18 16 13 9 6 7 9 13 17 18 17 16 15 14 13 13 12 13 13 13 13 11 9 8 8 8 8 9 10 10 11 10 9 8 8 7 7 7 8 9 10 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 10 10 9 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 11 11 11 12 12 12 12 11 11 10 9 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 13 14 14 14 13 13 12 9 7 6 6 6 7 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 12 12 12 11 11 10 10 9 9 10 10 11 11 11 10 10 10 10 nan
nan 15 15 16 17 19 18 17 15 14 13 11 10 9 11 13 16 17 17 15 14 13 12 12 12 12 13 14 13 13 12 11 10 9 9 9 9 10 10 10 10 10 9 8 8 7 8 8 9 10 11 10 9 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 10 9 9 9 10 10 11 11 12 13 14 14 14 14 13 13 12 10 8 7 6 6 7 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 10 10 11 11 12 11 11 11 10 10 11 11 11 12 11 11 10 10 10 11 11 11 11 11 11 10 10 9 8 9 9 10 10 10 10 9 9 9 nan
nan 12 13 15 16 17 16 14 13 12 11 10 10 11 12 14 15 15 14 12 11 11 11 11 11 12 12 13 12 12 11 11 10 10 10 9 9 9 10 10 10 10 9 9 8 8 8 8 9 10 10 10 9 8 8 8 9 9 10 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 11 11 12 12 11 11 10 10 11 11 11 11 11 11 10 10 10 10 11 11 12 13 14 14 15 15 14 14 14 13 12 10 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 10 10 11 12 12 12 12 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 9 9 9 9 9 9 8 9 nan
nan 7 9 11 12 13 12 11 10 10 9 9 9 10 11 12 12 13 13 11 10 10 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 9 10 10 10 10 9 9 10 10 11 11 11 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 10 10 11 11 11 11 12 11 11 11 11 11 11 11 12 12 13 14 15 16 16 15 15 16 16 15 12 9 7 7 7 8 8 9 9 8 8 8 8 7 7 7 8 9 10 10 10 10 11 12 13 13 13 12 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 8 8 8 8 8 8 nan
nan 3 7 8 9 9 9 9 9 8 8 8 8 9 9 9 10 11 11 11 11 10 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 12 12 12 12 12 13 14 15 16 17 17 17 18 18 16 12 8 7 7 7 8 8 9 9 9 9 9 8 7 7 7 8 9 9 10 10 10 11 12 13 13 13 13 11 10 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 8 8 9 8 8 8 7 7 8 8 nan
nan 6 9 9 9 8 8 8 9 9 9 8 9 9 8 8 8 9 9 10 10 10 10 9 9 9 10 11 12 12 12 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 10 10 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 12 12 13 13 13 12 12 13 15 16 17 18 19 19 19 16 10 7 6 6 7 8 8 9 9 10 9 9 9 8 8 8 8 8 8 8 9 10 10 11 12 12 13 13 12 10 9 9 9 9 10 10 10 10 9 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 8 8 7 7 7 nan
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nan 12 12 13 13 13 14 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 11 12 11 11 11 11 11 11 11 11 12 12 11 11 10 10 11 11 11 11 11 10 9 9 8 9 9 10 11 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 9 11 13 14 15 15 15 14 13 13 13 14 15 16 15 13 13 11 10 9 8 8 7 7 8 9 10 11 11 11 11 10 10 10 9 9 8 8 9 10 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 10 10 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 11 12 12 12 11 11 nan
nan 11 11 12 12 13 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 9 10 11 11 12 13 13 13 12 12 12 11 11 10 10 9 9 9 8 9 10 10 11 11 12 12 13 13 14 15 16 16 15 14 13 12 12 11 10 9 8 8 7 8 8 9 9 10 10 10 10 10 10 9 9 9 8 9 9 11 12 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 11 11 10 10 10 10 11 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 nan
nan 10 11 11 11 12 13 13 13 13 13 13 13 13 13 12 11 11 11 11 12 12 12 12 12 11 10 11 11 12 12 13 13 14 13 13 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 13 13 13 12 12 11 11 10 10 10 9 9 9 9 10 10 10 10 11 12 13 13 14 15 16 16 15 14 13 12 12 12 11 10 9 8 8 7 7 7 8 8 8 9 9 10 10 10 10 9 9 8 8 9 10 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 12 12 12 12 12 12 11 nan
nan 10 10 10 11 11 12 12 12 12 13 13 13 13 12 12 11 11 11 12 12 13 13 12 12 11 11 10 10 11 11 12 12 13 13 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 12 13 13 13 12 12 12 11 11 11 10 10 9 9 9 10 12 13 14 15 16 16 16 16 16 16 16 14 12 11 11 11 12 12 11 10 9 7 6 6 6 6 7 7 8 9 9 10 11 11 10 9 9 8 8 8 10 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 10 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 10 11 11 11 11 11 11 11 12 12 12 12 12 12 nan
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nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 11 11 12 12 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 10 9 9 8 9 9 10 11 13 15 19 20 19 18 16 15 14 13 11 10 10 10 12 14 13 11 8 5 4 4 5 6 7 8 8 9 9 10 11 11 11 10 10 9 9 10 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 13 12 12 11 11 11 11 11 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 nan
nan 12 13 13 12 12 12 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 10 10 10 11 11 12 13 13 13 13 12 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 10 9 9 9 10 10 10 10 11 13 16 18 17 17 15 14 14 13 13 12 12 13 14 14 13 11 7 5 4 5 6 7 8 8 9 9 10 11 11 11 11 10 10 9 10 11 11 12 12 12 11 11 11 11 10 10 10 11 11 12 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 9 9 9 10 11 12 12 12 12 12 11 10 10 9 9 nan
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nan 12 13 13 12 11 11 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 12 11 11 11 11 12 12 13 13 13 12 12 12 11 11 11 11 11 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 11 11 10 9 9 8 8 8 8 9 11 12 13 14 15 15 13 11 10 8 9 10 9 8 7 7 8 10 11 11 11 11 11 11 12 11 10 9 9 10 11 10 9 8 8 8 9 10 10 11 12 12 12 12 12 12 12 12 11 11 10 10 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 13 nan
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nan 11 11 11 11 11 12 12 13 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 12 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 11 12 12 12 12 12 13 13 13 14 14 14 13 11 9 8 8 8 9 11 14 16 16 15 11 8 6 7 9 10 10 10 10 11 11 12 12 12 12 13 14 14 12 9 7 7 9 10 10 9 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 13 13 13 13 13 14 14 14 15 15 15 15 15 13 11 10 9 10 11 15 17 17 16 12 7 6 6 8 10 11 10 10 11 11 12 13 13 14 15 16 16 13 9 7 7 8 9 10 9 8 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 12 12 13 13 13 13 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 9 8 7 7 9 10 12 13 13 13 13 13 13 13 12 12 12 13 14 15 16 16 14 13 11 10 12 14 16 17 16 12 7 6 6 8 9 10 10 10 10 11 12 13 14 16 18 19 19 15 10 8 6 6 7 8 9 8 8 8 9 10 10 11 11 11 11 12 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 10 11 11 11 11 11 11 nan
nan 13 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 8 7 6 6 7 9 11 12 12 12 13 13 12 11 10 10 10 10 11 12 15 16 16 15 13 12 12 13 14 15 15 13 10 8 7 7 8 9 10 10 10 10 11 13 15 17 19 20 19 15 12 9 7 6 6 7 7 7 8 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 nan
nan 13 13 13 13 13 13 13 13 13 12 11 11 10 10 11 11 11 10 11 11 12 12 13 13 12 11 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 8 7 7 8 8 9 10 10 11 11 12 12 12 11 10 10 9 9 9 11 13 15 16 17 15 13 13 12 13 14 15 15 13 11 9 7 7 9 9 10 10 10 11 14 16 18 19 19 17 14 12 10 8 7 6 6 6 6 7 9 9 10 10 10 11 11 12 11 11 11 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 13 13 nan
nan 13 13 13 12 12 12 13 12 12 11 11 11 11 11 12 12 12 12 11 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 10 11 13 15 16 17 16 15 13 12 12 14 15 16 14 12 9 8 8 9 9 9 9 10 12 15 16 17 17 16 14 13 11 10 9 7 6 5 6 7 8 9 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 nan
nan 13 13 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 12 11 11 11 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 12 13 14 16 16 15 14 13 13 14 16 16 16 13 10 8 8 9 9 10 9 9 11 13 16 17 17 16 14 13 11 10 10 8 6 5 4 6 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 14 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 11 12 13 14 nan
nan 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 11 10 9 9 9 8 8 9 9 10 11 11 11 11 10 10 10 11 11 12 12 12 14 15 15 14 13 12 12 15 17 16 14 10 7 6 7 8 9 9 9 10 12 14 16 18 18 16 14 12 11 10 9 6 4 3 3 5 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 11 12 13 14 15 nan
nan 12 12 12 11 11 11 12 12 12 13 13 14 14 14 14 14 13 13 13 12 12 11 10 9 9 9 9 9 9 10 10 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 9 8 7 7 7 7 8 8 9 9 10 11 11 11 10 10 10 11 11 11 11 13 14 14 13 12 11 12 14 14 12 10 7 5 6 7 8 9 9 10 11 12 13 15 16 17 16 14 13 11 10 8 6 3 2 2 5 8 9 10 10 10 10 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 12 12 12 11 11 10 11 12 13 15 16 nan
nan 11 11 11 11 11 12 12 13 13 14 14 14 15 14 14 14 13 12 12 11 11 10 10 9 9 8 8 9 10 10 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 11 10 9 8 8 8 9 8 8 8 8 9 9 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 9 8 6 5 6 7 9 10 11 11 10 10 9 10 11 13 13 12 12 11 10 9 7 5 4 4 6 8 9 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 nan
nan 11 11 11 11 11 12 12 13 13 14 14 14 14 14 13 13 12 12 11 11 10 10 10 9 9 9 9 9 11 11 12 12 11 11 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 13 12 12 12 12 11 10 10 10 10 10 10 10 9 8 8 9 10 12 12 12 11 11 10 10 10 10 9 9 10 10 10 11 11 11 10 9 6 5 6 7 10 11 12 12 10 8 5 3 4 5 6 7 8 10 10 10 9 7 6 6 8 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 13 13 14 14 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 nan
nan 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 10 10 9 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 13 12 12 12 12 11 11 10 9 9 10 11 12 13 13 13 13 13 12 12 12 12 11 10 9 10 10 11 11 11 11 10 9 10 11 12 14 14 13 13 12 11 11 10 10 10 10 11 12 12 13 13 12 10 7 6 6 7 10 13 14 13 12 10 6 2 1 -0 0 2 6 9 10 10 9 8 7 8 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 14 14 14 13 13 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 14 13 nan
nan 12 12 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 10 10 11 12 12 12 12 11 12 12 13 13 14 13 13 12 12 12 13 13 13 12 12 10 9 9 9 10 11 13 14 14 14 13 13 12 12 12 11 11 10 9 9 10 11 12 12 11 10 10 10 11 13 14 15 15 14 13 13 12 12 12 12 13 14 15 15 16 14 12 9 7 6 7 8 11 13 14 15 15 14 11 7 5 4 4 6 9 11 11 11 10 8 8 9 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 13 nan
nan 13 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 10 12 13 13 14 14 13 13 12 13 13 14 13 13 12 12 11 10 10 10 11 11 11 11 10 9 9 9 10 11 11 12 13 13 12 12 12 12 11 11 10 10 10 10 10 11 12 12 12 11 11 10 11 12 13 14 15 15 15 14 13 13 13 14 15 17 18 18 17 14 9 7 6 7 8 10 11 12 13 15 17 17 16 13 11 10 11 14 16 16 15 13 11 9 10 10 11 11 10 10 11 10 10 11 11 12 12 13 13 12 12 11 11 11 12 12 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 nan
nan 13 12 12 12 11 11 11 10 10 9 9 8 8 8 9 9 9 9 10 12 14 14 14 14 13 13 13 14 14 14 13 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 11 11 12 12 12 11 10 10 11 12 13 14 15 14 14 13 14 14 15 15 17 18 18 18 13 8 6 6 7 9 10 10 11 12 14 16 18 18 17 16 16 17 18 19 18 17 14 12 11 11 11 11 11 10 10 11 10 10 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 nan
nan 11 11 10 10 10 10 10 10 10 10 8 7 7 8 9 10 10 11 12 13 14 14 14 12 12 13 14 15 15 14 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 10 11 11 12 12 12 12 11 10 10 11 11 13 13 13 12 12 12 13 13 14 15 16 17 17 13 9 7 6 8 10 10 10 10 11 12 15 17 18 19 19 19 19 19 18 17 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 11 11 11 12 12 13 13 14 14 nan
nan 10 9 9 9 9 9 10 11 12 12 11 9 8 8 10 11 12 12 12 13 13 13 13 12 13 13 14 15 15 14 13 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 11 11 12 12 12 12 12 11 10 11 11 11 11 11 10 10 10 11 11 12 13 15 16 15 12 9 8 8 9 10 10 10 10 11 11 13 14 15 17 18 19 19 18 17 15 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 13 14 14 14 14 14 13 13 13 13 13 13 13 12 11 11 10 11 11 12 12 13 13 13 13 13 13 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 nan
nan 10 9 10 10 10 10 10 12 13 13 13 11 10 9 10 11 12 12 12 12 12 12 13 13 13 13 14 14 14 13 13 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 13 13 12 10 9 9 10 10 10 10 10 10 11 11 11 12 12 13 15 16 17 16 15 14 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 13 14 14 14 14 14 13 13 13 13 13 13 12 12 11 10 10 11 11 11 11 12 12 13 13 13 13 12 12 12 11 11 10 10 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 nan
nan 10 10 11 12 12 11 11 11 13 14 15 13 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 14 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 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 2 2 3 3 2 0 0 0 1 2 2 2 0 0 4 9 16 21 20 16 13 12 11 7 5 4 6 13 25 39 53 65 68 66 62 60 58 57 57 61 63 64 66 67 68 70 72 74 76 83 90 100 112 122 127 128 123 116 108 103 98 95 93 91 90 86 82 77 72 69 67 64 62 60 55 49 43 36 31 27 25 20 17 15 11 7 7 4 3 9 12 8 5 4 5 4 4 6 7 6 5 4 4 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 2 2 3 8 18 22 25 31 40 53 70 91 114 137 160 182 198 211 227 248 267 284 297 305 302 279 227 156 94 54
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0 0 0 1 3 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 1 0 0 0 0 0 0 0 2 6 11 16 18 11 4 1 0 0 0 2 8 19 34 47 53 52 49 45 40 35 29 26 26 27 29 31 34 38 41 44 46 49 51 54 59 64 70 77 85 96 104 109 111 110 109 107 103 98 96 95 95 95 96 98 100 103 105 107 108 107 103 97 87 76 67 61 56 52 50 47 43 40 37 34 32 28 23 18 13 4 1 0 0 0 0 0 0 0 0 0 1 4 7 9 10 11 10 9 9 8 8 6 6 7 9 10 12 14 13 10 8 6 3 2 1 1 0 0 0 0 0 0 0 0 0 0 2 4 5 7 11 19 37 56 74 89 101 98 101 105 101 84 62 36 16 6
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