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 9 9 10 10 10 10 9 9 9 9 10 10 9 8 8 9 10 10 10 10 10 11 11 10 9 8 7 8 9 10 10 10 10 9 9 10 11 11 11 11 10 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 12 11 10 9 8 9 11 14 17 20 22 24 24 22 20 18 16 14 13 12 13 14 14 14 13 11 10 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 10 10 10 11 11 12 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 9 8 8 8 9 11 11 10 10 9 9 9 11 12 12 10 9 9 10 10 10 10 8 8 8 9 9 11 11 10 9 8 9 9 9 9 10 10 10 10 10 10 12 14 nan
nan 9 9 10 10 10 10 9 9 9 9 10 10 9 9 8 9 9 10 10 10 10 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 12 11 10 9 9 10 12 14 16 19 22 24 24 24 23 22 20 17 16 16 16 17 16 15 13 11 9 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 10 10 10 10 10 11 12 12 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 9 9 9 9 8 7 8 9 10 10 10 10 10 10 11 12 13 11 9 10 10 10 10 9 9 8 8 8 8 10 11 11 9 9 9 9 9 10 10 11 10 10 10 10 11 13 nan
nan 9 9 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 10 10 10 11 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 12 11 10 10 10 11 12 14 16 19 22 24 25 26 27 25 23 21 20 20 20 19 17 15 13 11 9 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 9 7 7 8 8 9 9 10 10 11 12 12 11 11 11 11 12 11 11 11 10 10 9 10 11 11 11 11 10 9 9 8 7 6 7 8 9 9 10 11 10 10 10 11 12 12 11 11 11 11 10 9 9 9 9 8 8 10 11 10 9 8 8 8 9 9 10 10 11 11 11 10 10 12 nan
nan 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 11 10 10 10 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 11 12 13 12 12 11 11 10 11 11 12 13 15 18 20 23 26 28 28 27 25 24 24 23 21 19 17 15 13 12 10 9 8 8 8 8 9 9 9 9 8 8 8 7 7 8 9 10 11 11 10 8 7 7 7 7 7 8 9 10 11 11 10 10 10 10 11 12 12 11 11 11 11 11 11 11 12 12 12 11 10 8 8 7 6 6 7 8 9 10 11 10 9 9 10 11 11 11 11 11 11 10 9 10 10 10 8 8 9 10 10 8 7 8 8 8 8 9 10 11 12 12 11 10 11 nan
nan 10 11 11 11 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 10 10 11 10 10 9 10 11 12 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 11 12 13 13 12 11 10 10 10 10 11 12 13 14 16 19 22 25 26 27 26 25 24 23 22 20 18 17 15 13 12 10 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 10 11 11 10 9 8 8 7 7 7 8 9 9 10 10 9 8 8 9 10 12 12 11 10 10 11 12 12 11 12 12 13 12 11 10 10 9 8 7 6 7 8 10 10 10 10 9 10 10 10 10 11 11 11 10 10 11 11 11 10 10 10 9 8 7 7 8 8 8 8 9 10 11 12 11 10 10 11 nan
nan 11 11 11 11 11 10 9 9 9 9 10 10 9 9 9 9 9 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 12 12 12 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 9 10 11 12 13 13 12 10 9 9 10 10 11 12 13 14 16 18 20 22 23 23 22 22 21 21 20 19 17 16 14 13 12 11 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 11 11 11 10 9 9 8 8 8 8 9 9 10 10 9 7 7 7 9 11 11 9 8 8 9 11 12 11 11 12 12 12 11 11 12 12 10 8 6 7 8 9 10 10 10 10 10 10 9 9 10 10 10 9 10 11 12 13 13 11 9 8 8 8 8 8 8 8 8 9 9 11 11 10 10 11 12 nan
nan 11 11 12 12 12 11 9 9 9 9 10 10 9 9 8 9 8 8 8 8 9 10 11 10 10 9 9 8 9 9 9 10 10 10 9 9 9 10 11 11 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 9 8 8 8 9 10 12 13 13 13 11 10 9 9 9 10 10 11 12 13 15 16 18 19 20 20 19 19 18 18 18 17 16 15 14 13 12 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 10 9 9 8 8 8 9 9 10 10 10 9 8 7 7 8 9 9 9 8 7 8 10 11 11 11 11 11 10 10 11 11 11 9 8 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 12 13 12 11 9 8 8 9 9 9 9 8 8 7 8 10 10 11 12 13 13 nan
nan 11 11 12 12 12 11 9 9 9 9 10 10 9 8 8 8 8 8 8 8 9 10 11 10 10 9 9 8 9 9 9 9 10 10 9 9 9 9 9 10 11 11 12 12 12 11 10 10 9 9 9 10 10 10 10 10 9 9 8 8 8 9 11 12 14 14 12 10 9 9 8 9 9 10 11 12 13 14 15 17 17 18 17 17 17 16 16 16 15 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 11 10 9 9 10 10 10 9 9 8 8 8 9 10 11 11 10 10 10 10 9 9 10 10 11 11 11 11 11 10 9 8 8 10 11 11 10 9 8 7 6 7 9 10 11 12 13 12 nan
nan 10 10 11 12 12 11 10 9 9 10 10 10 9 9 8 9 9 8 8 8 9 10 10 10 10 9 9 8 9 9 9 9 10 10 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 9 9 9 10 10 10 10 10 9 8 8 8 8 10 12 14 14 13 12 10 9 8 8 8 8 9 10 11 12 13 14 15 16 16 16 15 15 15 15 14 14 13 13 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 11 10 9 8 8 8 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 10 10 10 9 8 8 9 10 10 11 10 10 10 10 10 10 10 11 12 13 13 12 11 9 8 7 6 7 9 11 12 11 10 10 8 7 8 9 10 10 11 12 12 nan
nan 9 9 10 11 11 10 10 9 9 10 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 8 8 9 9 10 11 12 12 12 11 11 10 9 9 9 9 10 10 10 10 9 9 9 8 8 9 11 13 14 14 13 11 10 9 8 8 8 8 9 9 10 11 12 13 14 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 11 10 9 9 10 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 10 10 10 10 8 7 7 8 9 10 10 9 9 9 10 11 11 11 11 11 12 13 13 12 10 9 7 5 5 6 8 10 11 12 11 10 9 9 9 9 9 10 11 11 nan
nan 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 11 12 12 12 11 10 10 9 9 9 9 10 10 10 9 9 9 8 8 9 11 13 14 15 14 12 10 9 9 8 8 8 8 8 9 10 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 14 14 14 12 11 10 10 11 11 11 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 11 10 8 7 7 7 8 9 9 9 9 9 10 11 11 10 10 10 10 12 13 13 12 11 8 7 5 5 6 7 9 11 11 11 11 10 9 8 9 9 10 10 nan
nan 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 9 9 9 9 10 12 14 15 14 13 12 10 10 9 9 9 8 8 8 9 10 11 12 13 13 12 11 11 10 9 9 9 10 10 10 10 11 11 11 12 12 13 13 14 14 14 14 14 14 14 13 12 11 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 11 11 12 12 12 13 14 13 11 10 9 8 8 8 8 8 8 8 9 9 10 10 10 9 7 8 10 12 14 14 12 10 8 7 6 6 7 8 9 10 11 11 10 9 9 9 9 9 9 nan
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nan 12 10 9 8 7 7 9 11 13 13 13 13 13 13 11 7 3 2 5 10 15 16 15 14 14 14 14 13 13 13 13 14 15 15 15 14 13 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 13 15 16 15 12 10 10 12 14 13 12 10 10 11 12 12 11 10 9 8 8 9 10 12 13 14 13 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 8 8 8 10 11 13 14 14 14 14 14 13 12 11 11 10 9 9 9 9 9 10 10 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 11 13 12 nan
nan 9 6 4 3 3 6 10 13 14 14 14 14 14 13 9 5 3 5 11 17 19 16 14 12 12 12 12 12 12 13 13 14 14 15 14 14 13 13 14 14 15 15 14 13 12 12 11 11 10 10 11 11 12 12 13 13 13 12 11 10 11 13 14 13 12 11 11 13 14 14 13 12 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 8 8 8 10 12 13 13 13 13 13 14 14 13 13 12 12 12 11 10 9 9 9 9 9 8 8 8 9 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 11 nan
nan 7 3 1 -0 1 5 10 14 15 15 15 14 14 12 9 8 8 12 17 19 18 14 12 11 11 11 12 12 13 13 14 14 14 14 14 14 14 14 15 15 16 16 15 14 13 12 11 10 10 11 11 11 12 13 14 14 13 12 11 10 11 12 13 13 12 11 12 13 15 15 14 12 9 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 8 9 10 11 11 11 10 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 11 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 10 11 13 13 13 12 12 12 12 12 13 12 12 13 13 13 12 11 10 10 9 9 8 7 6 7 8 8 9 10 11 12 11 10 9 8 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 nan
nan 6 3 2 1 2 7 11 15 17 18 18 16 14 13 12 12 13 16 17 16 14 12 11 11 11 11 12 12 13 13 13 13 13 13 14 14 15 15 15 16 16 15 14 13 12 12 12 11 11 11 11 11 12 14 14 14 14 12 11 10 10 11 11 11 11 11 12 13 14 14 13 12 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 8 8 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 12 13 13 12 11 10 11 11 11 11 11 12 12 13 13 12 11 10 10 9 9 8 7 6 6 7 9 10 11 11 11 10 9 9 9 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 6 5 5 8 12 16 19 22 23 22 19 16 14 14 14 14 14 13 12 11 11 11 11 11 11 12 12 13 13 12 12 12 12 13 14 15 15 16 16 16 15 14 13 13 13 13 13 12 12 12 12 13 14 14 15 15 13 12 10 9 9 10 10 11 11 12 12 13 14 13 12 11 10 10 10 10 10 10 9 9 8 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 8 9 10 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 11 10 10 9 9 8 8 9 10 12 13 13 11 10 10 10 11 12 12 12 11 10 10 10 10 10 9 9 9 9 9 9 10 nan
nan 10 8 7 7 11 17 21 24 25 24 22 19 17 15 14 14 13 12 12 11 11 11 12 11 11 12 12 12 12 12 11 11 11 11 12 13 14 16 16 17 16 15 14 14 14 14 14 14 13 13 13 13 14 14 15 15 14 13 12 10 9 9 9 10 10 11 11 11 13 14 14 13 11 10 10 10 10 10 10 9 9 9 9 8 9 9 9 8 8 7 7 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 9 8 8 7 8 8 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 11 11 11 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 12 13 13 12 11 11 12 13 13 13 12 11 11 10 10 11 11 10 10 9 10 10 10 10 11 nan
nan 12 9 6 7 12 17 20 21 20 18 17 17 15 14 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 12 13 15 16 16 15 14 14 14 15 15 14 14 13 14 14 14 14 14 14 14 13 11 9 7 6 6 6 8 9 10 10 11 13 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 11 12 11 10 10 11 12 12 12 11 11 10 10 10 10 11 11 10 10 10 10 10 11 11 11 nan
nan 12 8 6 6 9 11 12 13 15 17 18 17 15 13 12 11 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 10 11 12 14 15 15 14 13 13 14 15 14 14 13 13 14 15 15 14 14 13 12 9 7 4 3 2 2 4 6 9 11 12 13 14 14 14 13 12 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 10 9 8 8 9 10 10 10 10 10 10 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 nan
nan 11 8 7 6 5 5 7 11 18 22 22 20 15 11 10 10 10 10 11 12 13 13 12 12 12 12 13 13 12 11 11 10 10 10 10 11 12 14 14 13 12 12 12 13 14 14 14 14 14 15 15 15 15 14 12 9 6 4 3 3 4 6 7 10 12 14 15 16 16 16 15 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 12 11 11 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 11 11 10 10 10 9 9 10 10 10 10 9 10 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 11 9 8 7 6 6 10 15 20 21 20 16 12 10 10 10 10 11 12 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 13 13 13 11 11 11 11 13 13 14 14 14 15 16 16 16 16 14 11 7 5 4 5 8 10 12 14 16 16 16 16 17 17 17 15 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 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 10 10 9 9 8 8 9 10 11 12 11 10 10 10 11 12 12 11 11 11 11 10 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 nan
nan 11 10 9 9 9 11 13 15 16 16 14 12 10 10 10 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 10 10 10 11 12 13 13 14 15 16 16 17 17 15 13 11 8 7 8 9 12 13 15 17 19 19 18 17 17 16 16 15 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 12 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 7 7 8 10 11 11 10 10 10 10 11 12 12 12 11 11 11 11 11 11 12 12 11 11 12 12 11 11 11 11 11 11 11 12 13 14 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 12 12 13 13 12 12 11 11 12 12 12 12 12 12 13 13 13 14 14 13 12 12 11 11 11 12 12 12 12 13 15 16 17 17 16 15 13 12 11 10 10 11 12 14 15 19 21 20 18 16 15 15 15 14 14 14 13 13 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 7 7 8 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 11 12 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 14 14 14 13 13 12 12 12 12 12 12 12 13 15 16 17 17 15 14 14 13 12 11 10 10 12 14 16 20 21 20 18 15 13 14 14 15 14 14 13 12 12 12 12 11 11 11 10 10 10 10 10 10 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 11 11 10 10 11 11 11 11 11 10 10 9 8 8 8 8 9 10 10 9 9 9 9 10 11 12 12 12 12 11 11 10 10 10 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 9 8 9 11 13 14 14 14 14 13 13 13 14 14 14 14 14 14 13 13 12 12 12 12 14 15 16 17 16 15 14 14 13 11 10 10 11 13 16 19 21 20 18 15 13 12 13 14 14 14 14 13 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 11 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 nan
nan 12 12 11 12 12 12 12 11 11 11 11 12 12 12 12 12 11 10 10 10 8 6 6 6 9 13 16 17 16 15 14 13 13 13 14 15 16 15 15 15 14 14 13 12 13 14 15 16 16 17 16 15 14 14 13 12 12 12 14 16 18 20 19 17 15 12 12 12 13 14 14 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 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 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 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 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 12 12 12 12 12 12 11 11 10 11 11 12 13 14 13 12 11 10 8 6 4 4 6 10 14 18 19 19 17 15 14 13 13 14 15 16 16 16 15 15 14 14 13 13 14 15 16 16 16 16 16 15 15 14 13 13 13 14 15 16 17 16 15 13 12 11 11 12 13 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 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 11 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 12 11 12 12 12 12 12 11 10 10 11 12 14 14 13 13 11 9 5 2 4 8 13 18 20 19 18 17 16 15 14 13 13 14 15 16 16 15 15 14 14 14 14 15 16 16 16 16 16 16 16 16 15 15 14 14 14 14 14 14 14 13 12 11 11 11 11 12 12 13 13 13 12 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 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 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 9 9 8 8 7 8 nan
nan 11 11 11 11 12 12 12 11 11 11 11 12 13 13 13 13 12 10 6 5 8 14 19 21 19 17 15 15 15 15 14 14 14 14 15 15 15 14 14 13 13 13 14 15 16 16 16 17 17 17 17 16 16 15 15 15 15 14 14 14 13 12 12 12 11 11 11 11 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 10 10 10 10 11 10 10 11 11 12 12 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 9 9 8 8 8 8 nan
nan 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 10 12 15 17 17 15 14 14 14 15 15 15 15 15 15 15 14 14 13 12 12 12 13 14 15 16 16 16 17 17 17 17 17 17 16 16 15 15 15 14 14 13 13 13 12 12 11 11 11 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 11 11 11 11 11 11 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 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 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 12 12 12 12 12 11 12 12 13 12 12 12 12 13 13 13 13 13 14 14 14 15 15 15 15 15 14 13 12 12 11 11 12 13 14 14 15 16 16 16 17 17 17 17 17 17 16 16 15 15 15 14 14 13 13 13 13 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 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 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 13 12 12 12 12 12 13 13 13 13 13 13 13 14 15 15 15 14 13 12 11 11 11 11 12 12 13 14 15 15 15 15 16 16 17 17 17 17 17 16 16 15 15 15 14 13 13 13 13 12 12 12 12 12 12 12 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 10 10 10 11 11 11 11 11 10 10 10 10 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 11 11 11 11 11 11 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 10 10 10 10 10 10 11 10 11 11 11 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 12 11 11 10 11 11 12 12 13 14 14 14 14 14 15 15 16 17 17 17 17 16 16 16 15 15 14 14 13 13 13 12 12 12 12 12 12 12 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 11 11 11 10 10 10 11 11 12 12 11 11 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 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 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 10 8 6 7 9 13 15 15 15 14 13 13 12 12 12 13 13 13 13 13 12 12 11 10 10 11 11 11 12 12 13 13 13 13 13 14 15 16 16 17 17 17 17 17 16 16 15 14 13 13 13 12 12 11 11 11 11 11 12 13 13 13 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 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 9 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 9 8 7 7 8 9 10 11 12 12 12 12 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 8 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 9 6 4 4 8 14 19 18 17 14 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 12 12 12 13 13 13 13 13 13 14 15 16 16 17 17 17 17 16 15 15 14 13 13 12 12 12 11 11 11 11 11 12 12 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 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 10 10 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 11 9 7 4 2 0 0 2 4 7 9 10 11 12 12 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 nan
nan 11 11 11 11 11 10 11 11 12 11 11 12 11 10 8 6 7 10 14 17 17 16 14 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 14 15 16 17 17 17 17 16 16 15 14 13 13 12 12 12 11 11 11 11 11 12 12 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 11 11 11 11 11 11 12 13 13 13 13 12 12 12 12 11 9 9 9 9 10 11 11 11 11 11 11 11 11 12 11 9 5 1 -2 -4 -6 -5 -3 0 5 8 9 10 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 11 nan
nan 10 11 11 10 10 10 10 11 11 11 11 12 11 11 10 10 10 11 13 13 13 13 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 14 15 16 16 17 17 16 16 15 14 13 13 12 12 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 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 14 13 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 9 8 6 2 -0 -2 -2 -3 -3 -3 -0 3 5 5 4 4 5 8 10 11 12 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 16 17 17 16 16 15 14 14 13 13 12 12 12 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 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 13 13 13 13 13 14 14 13 12 11 10 9 9 9 9 9 8 9 9 8 8 7 5 4 2 2 2 2 2 1 1 2 2 2 1 -1 -1 2 6 9 11 11 11 11 11 11 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 nan
nan 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 12 12 12 11 11 11 11 12 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 11 11 11 12 11 11 11 12 12 13 14 15 16 16 16 16 15 14 14 13 13 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 13 14 13 13 12 11 11 10 9 9 9 8 8 8 8 7 6 5 4 4 4 5 6 6 6 5 5 3 1 -0 1 3 6 9 10 11 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 10 10 10 9 10 10 11 11 11 11 10 9 9 10 10 10 10 9 9 8 nan
nan 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 12 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 13 14 14 15 16 16 15 15 14 14 13 13 12 12 12 12 11 11 11 11 12 13 13 13 13 13 13 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 12 12 12 12 11 11 10 10 10 10 9 8 6 5 5 6 7 7 8 9 9 10 10 8 6 4 4 6 7 9 10 10 10 10 11 11 11 10 10 11 12 12 12 12 12 11 12 12 13 13 12 11 10 10 11 11 12 12 11 10 9 9 9 10 10 10 10 9 8 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 15 15 15 15 14 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 13 13 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 11 12 12 12 12 11 11 11 11 10 8 5 3 3 4 6 8 9 9 10 11 12 13 13 11 10 9 9 8 8 8 9 11 13 14 14 14 13 13 13 14 15 15 14 13 13 13 14 14 14 14 12 12 11 12 13 13 13 12 10 9 8 9 10 12 13 13 12 12 nan
nan 11 11 11 11 11 10 11 11 10 10 10 10 10 11 11 10 10 10 10 11 12 12 12 12 11 11 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 11 10 9 9 10 10 10 10 10 10 11 13 13 14 13 13 12 11 9 7 4 2 2 2 4 6 7 8 9 10 11 12 13 13 12 11 11 9 9 11 12 15 18 19 19 19 19 19 18 18 17 17 16 16 15 15 15 15 15 15 15 14 14 13 13 14 15 16 15 12 10 8 9 10 12 14 14 15 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2 2 2 2 1 1 2 1 2 5 9 12 10 10 9 8 7 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 8 10 13 14 14 14 13 11 10 8 7 5 4 3 3 3 3 3 3 3 3 2 1 0 0 0 0 1 3 6 8 10 10 11 10 11 12 13 15 16 16 16 20 31 46 54 49 38 28 17 7 1 0 0 0 0 1 4 5 5 2 0 0 0 0 0 1 3 7 17 23 28 31 32 29 24 12 4 2 1 9 31 84 130 138 133 114 88 61 41 32 26 20 15 9 4 7 17 19 17 14 12 11 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 14 19 11 6 4 2 0 0 0 0 0 0 1
1 1 1 1 0 0 1 1 2 5 8 13 11 9 8 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 6 11 14 14 13 13 12 11 10 8 7 5 4 3 3 3 2 2 3 3 3 3 2 1 0 0 0 0 1 3 5 7 9 10 10 11 12 13 15 17 19 19 21 30 44 56 55 42 28 16 5 1 0 0 1 1 2 6 9 8 6 3 1 0 0 0 0 1 2 11 21 29 35 34 36 37 29 18 9 3 2 8 37 80 123 158 175 152 119 92 68 50 35 30 28 17 14 17 28 34 29 26 26 24 21 16 7 2 1 0 0 0 0 0 0 0 0 0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 3 6 9 14 15 11 4 0 0 0 0 0 0 1
0 1 0 0 0 0 1 1 2 4 7 12 10 9 8 7 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 10 13 14 14 14 13 12 10 8 7 5 4 4 3 3 2 2 3 4 4 4 4 3 2 1 0 0 0 1 2 4 6 8 9 10 10 12 15 19 23 27 30 37 48 64 62 48 29 12 2 0 0 1 1 1 3 8 12 15 14 9 5 2 1 1 2 2 1 4 10 18 25 26 27 28 28 24 16 9 4 2 9 28 59 99 133 153 158 146 136 117 95 75 60 41 29 34 54 61 47 42 41 43 49 53 34 18 9 3 0 0 0 0 0 0 0 1 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 3 2 7 10 7 1 0 0 0 0 0 0 1
0 0 0 0 0 0 0 1 2 3 5 10 11 10 9 7 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 9 12 14 16 17 16 13 10 8 7 5 4 4 3 4 3 2 3 3 3 3 4 4 3 2 1 0 0 0 1 2 3 6 7 8 8 9 11 16 24 31 36 40 47 69 67 53 33 13 1 0 0 0 1 1 3 7 13 16 15 13 8 4 2 2 2 2 2 2 3 4 5 22 20 18 17 14 11 10 7 5 4 3 8 22 41 67 97 126 151 152 138 118 93 70 59 86 102 75 58 49 45 56 77 85 68 46 27 12 2 1 0 0 0 0 0 3 4 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1
0 0 0 0 0 0 0 0 1 2 3 6 7 8 8 7 7 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 10 12 16 18 17 14 11 9 8 6 5 4 4 3 3 3 3 3 3 3 4 4 3 3 2 1 0 0 0 1 2 3 4 6 7 7 8 11 19 29 40 50 56 72 69 55 36 16 2 0 0 0 1 1 3 8 11 13 13 11 8 5 2 2 1 1 1 2 2 3 4 7 11 14 13 7 4 5 5 5 3 0 0 0 4 12 23 46 74 86 87 87 88 83 83 93 105 89 69 52 41 45 65 71 64 58 47 29 11 4 1 0 0 0 0 2 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1
0 0 0 0 0 0 0 1 1 1 2 3 4 5 5 6 6 6 5 5 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 11 14 17 17 15 12 10 8 6 5 4 4 3 3 3 3 3 3 4 4 4 4 3 2 1 0 0 0 0 0 2 3 4 5 6 7 8 11 17 24 33 40 47 46 38 27 13 3 0 0 0 0 0 0 3 6 8 9 8 6 3 1 1 0 0 0 1 2 2 5 9 11 12 11 5 2 2 2 2 1 0 0 0 0 1 2 4 10 17 21 23 26 40 60 81 105 110 100 82 64 58 54 51 59 65 59 43 28 16 7 2 1 0 0 1 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1
0 0 0 0 0 0 0 0 1 1 2 2 3 3 4 5 5 6 6 5 5 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 10 13 16 17 15 13 10 8 6 5 5 4 3 4 4 3 3 3 4 4 4 4 4 2 1 0 0 0 0 0 1 2 3 3 4 5 6 6 6 6 9 9 8 9 10 8 4 1 0 0 0 0 0 0 0 1 3 4 4 4 2 1 0 0 0 0 0 0 1 2 4 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 4 15 36 63 95 118 122 111 102 89 80 77 72 61 52 45 35 21 9 3 1 0 1 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2
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