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 10 11 11 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 9 11 11 11 11 11 11 11 12 12 12 13 12 11 9 8 7 6 6 5 6 6 7 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 14 14 13 12 12 12 11 10 9 8 7 6 6 7 8 8 9 10 10 11 10 9 8 8 9 9 9 10 11 11 11 10 9 8 9 10 11 12 12 13 13 14 14 13 13 12 11 11 10 10 11 11 12 12 12 12 12 11 11 10 9 7 4 2 2 4 9 13 14 14 14 14 15 15 14 13 10 9 9 10 10 10 9 8 8 8 9 9 9 9 10 11 11 11 12 12 11 10 9 9 10 11 13 16 21 nan
nan 9 11 11 10 9 9 8 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 10 10 9 9 9 9 9 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 12 12 11 10 7 6 5 5 5 5 5 6 7 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 13 13 13 13 13 13 12 12 10 8 7 6 6 6 7 8 8 8 9 10 11 10 8 8 8 9 9 9 10 11 12 11 10 9 9 10 10 11 11 12 12 12 13 13 14 13 13 12 11 11 10 10 11 11 12 12 13 13 12 11 11 10 9 6 4 2 3 6 9 11 12 13 15 16 16 15 12 8 8 9 11 11 11 9 8 8 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 14 19 nan
nan 9 10 10 10 10 9 8 8 8 8 9 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 11 10 10 10 10 10 10 11 11 12 12 11 9 7 6 6 5 5 5 5 6 6 7 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 9 9 10 11 12 13 13 13 13 11 9 7 6 6 6 6 7 8 8 8 8 8 9 9 8 8 8 9 9 10 11 12 12 12 11 11 12 13 13 12 12 12 12 13 13 14 14 14 13 12 11 11 10 10 10 10 11 12 13 13 13 12 12 11 10 9 6 3 3 6 8 9 10 12 13 15 15 15 12 9 9 10 11 12 11 9 9 9 9 9 10 10 10 10 8 8 9 9 10 10 10 10 10 10 11 11 13 16 nan
nan 9 9 10 10 10 10 9 8 8 7 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 9 9 10 10 9 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 9 8 8 7 7 6 5 5 5 6 7 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 9 9 10 11 13 13 13 12 11 9 8 6 6 6 6 7 8 9 9 8 8 9 9 9 9 9 8 9 10 11 11 11 11 11 12 13 15 15 14 13 14 14 15 15 15 15 14 13 12 11 11 11 11 10 10 10 11 12 13 13 13 13 12 12 11 8 5 4 5 8 9 9 10 11 12 14 14 12 10 10 11 12 12 11 10 11 11 11 11 11 11 10 9 7 7 8 10 10 10 10 10 10 10 11 12 12 15 nan
nan 9 8 9 9 10 10 10 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 9 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 8 7 5 5 4 5 6 7 7 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 9 10 11 13 14 13 12 11 9 8 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 8 9 10 10 10 10 10 10 12 13 14 15 14 14 15 15 16 16 16 16 15 15 14 13 12 12 12 12 10 10 10 12 13 14 15 14 13 13 12 10 7 5 6 7 8 9 10 10 11 12 12 11 11 11 12 12 12 12 12 12 12 13 13 13 12 10 8 6 7 9 10 10 9 9 10 10 10 11 12 13 14 nan
nan 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 9 9 9 10 9 9 8 8 9 9 9 10 11 11 11 10 9 9 9 8 7 6 5 5 6 7 7 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 9 11 13 13 13 12 10 9 9 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 9 10 10 10 10 10 10 11 12 13 14 14 13 13 14 15 16 16 16 17 17 17 16 15 15 15 15 13 11 11 11 12 14 15 15 14 13 13 12 9 7 7 8 8 9 9 10 10 10 10 11 11 11 12 12 12 11 12 12 13 15 15 14 12 9 7 7 8 9 9 9 8 9 9 10 10 11 12 13 14 nan
nan 9 9 8 8 9 9 10 10 10 10 10 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 10 9 9 10 10 10 9 9 9 9 9 9 9 10 12 11 10 9 9 9 9 9 8 7 6 6 6 7 8 8 8 9 9 10 10 11 11 10 10 10 10 10 9 9 9 10 12 13 13 11 10 9 9 9 9 8 8 8 9 9 9 8 7 7 7 8 8 8 9 9 10 10 11 10 10 11 11 12 13 13 13 12 11 12 14 16 16 16 17 18 18 17 17 17 17 18 16 14 12 12 12 13 14 14 14 13 13 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 11 14 15 14 13 10 8 8 8 9 9 9 8 8 8 9 10 11 11 12 13 14 nan
nan 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 9 9 9 9 9 10 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 11 11 11 10 9 9 9 10 10 9 7 6 6 7 8 8 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 11 12 13 13 12 10 9 9 10 9 9 8 8 9 9 9 8 7 7 8 8 8 9 9 10 10 10 11 11 11 11 11 12 13 13 12 10 10 12 15 16 16 16 16 16 17 16 16 16 17 18 17 16 15 14 13 13 13 13 14 13 13 13 13 13 11 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 9 7 7 8 9 10 10 9 8 8 8 9 10 11 11 11 12 13 nan
nan 11 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 9 9 10 11 11 11 10 9 10 10 10 10 10 10 10 10 9 10 10 9 7 6 7 8 8 8 8 8 9 9 10 10 10 11 10 10 10 10 11 11 11 12 13 14 14 13 11 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 11 10 10 13 15 16 16 15 15 15 15 16 15 15 15 16 16 16 17 17 16 14 14 13 13 13 13 13 14 14 12 9 8 8 9 9 10 10 11 10 10 10 10 11 12 12 12 10 9 7 6 5 4 4 6 8 10 10 10 10 9 10 10 10 10 10 10 11 13 nan
nan 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 10 10 11 10 10 10 10 10 10 10 10 8 8 8 10 11 10 8 8 9 10 10 9 9 9 9 9 9 10 10 9 7 7 8 8 8 8 8 8 9 9 10 10 10 10 11 11 10 10 11 11 12 13 14 15 15 13 11 8 8 8 9 9 9 9 9 9 8 6 6 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 13 14 15 15 14 14 14 15 16 16 15 15 14 15 15 16 17 17 16 16 15 14 13 13 13 14 14 12 9 8 7 8 9 10 11 11 10 10 10 11 12 13 15 13 10 7 6 5 4 3 3 4 6 8 9 10 10 10 11 11 10 8 8 9 10 11 nan
nan 11 10 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 8 8 9 10 10 11 11 11 11 11 10 11 12 11 10 8 8 10 11 9 8 8 9 10 10 9 8 8 8 8 8 9 11 10 8 7 8 9 9 9 8 9 9 9 9 10 10 10 11 11 11 11 11 11 13 14 15 16 15 13 9 7 7 8 8 8 8 9 9 9 9 7 7 7 7 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 13 13 13 14 15 15 16 16 15 15 15 14 15 16 16 17 17 17 16 15 14 13 13 13 11 9 8 8 9 10 10 11 11 11 10 10 11 12 15 15 13 9 7 7 7 6 5 5 5 5 6 7 8 9 10 10 10 9 8 8 9 10 10 nan
nan 10 10 10 9 9 10 11 10 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 8 8 8 9 10 11 10 11 11 11 11 11 12 13 12 11 10 10 11 10 9 9 10 10 10 10 9 8 8 8 8 8 9 9 8 9 9 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 13 15 15 15 14 12 8 6 7 7 8 7 8 8 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 11 11 12 12 12 13 13 14 14 15 15 15 15 15 15 16 16 17 18 18 17 16 14 12 12 11 10 10 9 9 10 10 11 11 11 9 9 9 12 14 14 11 8 7 8 9 8 7 7 6 6 6 6 7 7 8 8 8 8 9 9 10 9 9 nan
nan 10 10 10 9 9 10 10 10 9 8 8 8 9 10 10 10 10 10 11 11 11 10 10 10 10 10 9 8 8 9 10 10 10 9 9 9 8 9 10 11 12 13 12 12 11 11 10 10 10 10 11 11 9 8 8 8 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 13 14 14 15 14 11 7 6 7 7 8 7 8 8 8 8 9 8 8 7 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 11 11 10 10 10 11 11 11 12 12 12 12 14 15 15 16 16 15 15 16 18 19 20 18 16 13 12 11 11 10 10 10 10 10 11 11 10 9 8 8 10 11 10 8 7 8 9 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 nan
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nan 9 9 9 9 9 9 9 8 8 8 8 8 7 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 7 7 7 7 8 8 9 8 9 9 9 9 9 9 9 10 10 8 7 8 9 10 10 10 9 10 10 10 10 10 10 9 9 10 10 11 12 12 12 12 12 13 13 13 13 13 12 10 8 7 6 6 6 6 7 8 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 11 12 13 15 17 17 16 15 15 15 14 12 10 10 9 9 10 10 10 10 10 10 10 11 12 12 12 12 13 14 15 16 17 18 19 20 19 18 17 16 14 12 10 9 9 9 9 9 8 8 7 7 7 7 8 8 7 7 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 nan
nan 9 9 8 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 8 7 7 6 6 7 7 8 8 8 9 9 10 10 9 8 8 9 10 10 10 10 11 11 10 9 9 9 10 10 10 10 9 9 8 9 11 13 13 13 13 13 13 14 14 14 14 14 12 10 8 6 6 6 6 6 7 7 9 9 9 9 9 10 10 10 10 10 11 12 12 11 11 11 11 12 13 15 17 18 18 18 18 18 18 16 14 11 9 9 9 9 9 10 11 12 12 11 11 11 10 10 11 12 13 14 16 17 18 19 20 20 20 20 18 15 13 12 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 nan
nan 10 9 9 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 7 7 6 6 6 7 8 8 8 9 9 10 10 9 8 7 8 9 11 12 13 13 12 10 9 9 10 11 11 11 10 7 6 6 8 12 15 15 15 15 14 14 15 16 16 16 15 13 10 7 6 6 6 6 6 6 7 8 9 10 10 11 11 11 10 10 9 10 10 10 9 9 9 8 8 8 10 12 14 15 16 17 19 21 21 19 16 12 10 10 10 10 10 12 13 13 12 11 10 10 10 10 10 11 12 14 16 17 18 19 20 22 22 22 20 19 17 14 11 11 11 11 10 9 8 8 8 8 7 7 8 8 10 11 11 11 11 11 10 9 9 10 10 9 9 9 8 8 nan
nan 10 10 10 9 8 8 8 9 10 10 10 10 10 10 10 10 11 11 10 10 9 8 7 8 8 9 9 9 9 10 10 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 10 10 10 9 9 8 7 7 8 10 12 14 13 11 10 10 11 11 11 10 8 5 3 4 9 14 18 18 18 18 17 16 16 17 17 17 16 13 9 7 6 6 7 6 6 6 7 8 9 10 11 12 11 10 10 8 7 7 6 6 6 7 6 6 5 5 5 7 8 10 11 13 17 20 22 22 20 16 14 14 13 12 12 13 13 12 12 12 11 10 10 10 10 10 11 12 13 15 17 18 19 21 22 23 23 23 22 19 17 16 16 15 13 10 10 11 11 10 9 9 9 10 12 12 12 11 11 10 10 9 9 9 10 9 10 9 8 7 nan
nan 10 10 10 9 8 8 8 9 10 12 12 12 11 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 9 8 7 6 6 7 9 12 12 12 11 11 12 12 11 9 5 3 3 6 12 17 20 20 21 21 20 19 18 18 19 18 16 12 8 6 6 7 7 7 6 6 7 8 9 11 12 12 12 11 9 8 6 5 3 3 4 5 5 4 4 4 4 5 6 7 8 10 12 15 18 20 20 19 19 19 19 18 17 16 15 13 12 12 12 12 12 11 10 10 10 10 11 12 14 15 17 18 19 21 22 24 24 24 24 24 23 21 17 14 14 13 13 11 10 11 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 8 7 6 nan
nan 10 10 9 9 8 8 8 9 10 11 12 12 11 10 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 6 7 8 10 11 11 11 12 11 10 7 4 3 6 11 16 18 20 21 22 23 23 22 21 20 19 18 15 11 7 6 6 7 8 7 7 7 8 9 10 12 13 13 12 11 10 8 6 4 2 2 2 4 4 4 4 3 3 3 5 6 7 8 9 11 13 14 15 16 18 19 21 22 22 21 20 17 15 13 12 12 12 12 11 11 10 10 10 10 11 12 13 15 16 18 20 21 22 24 27 29 29 25 21 18 15 12 10 9 10 12 14 13 12 10 10 10 9 9 8 8 8 8 7 7 7 6 6 6 nan
nan 10 10 9 9 9 9 9 8 8 9 10 11 11 10 10 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 7 8 9 9 10 9 9 8 7 7 7 7 8 9 10 11 11 10 9 5 3 4 9 14 17 18 19 20 22 25 26 24 23 20 19 16 13 9 7 6 7 8 8 8 8 8 9 10 12 13 14 13 12 10 9 8 7 5 4 3 4 4 5 5 5 3 2 2 3 4 5 6 7 9 10 10 11 11 13 15 17 20 22 23 24 23 20 17 14 11 12 12 12 12 12 11 10 9 9 10 11 12 13 14 16 17 18 20 24 27 27 25 21 17 12 9 8 8 10 12 14 13 11 10 9 9 9 9 8 8 8 7 7 6 6 5 5 6 nan
nan 10 10 10 10 10 10 10 9 8 8 9 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 8 8 8 9 9 10 10 11 11 10 9 9 7 6 6 7 8 9 10 9 9 9 8 8 8 8 9 9 10 10 10 8 3 2 7 12 16 17 17 17 18 20 24 26 25 22 19 16 14 11 10 8 8 9 9 9 9 9 10 11 12 13 13 13 12 10 9 8 8 8 8 7 7 7 7 7 7 7 6 3 2 1 1 2 3 5 7 9 9 10 10 10 11 12 14 17 20 23 25 24 22 19 16 13 13 12 12 12 12 11 10 10 9 9 10 11 12 13 13 14 15 16 17 19 19 16 12 9 8 8 9 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 7 6 7 7 nan
nan 10 10 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 9 9 9 10 11 12 12 11 9 8 7 6 6 6 7 9 9 9 9 9 9 9 9 9 9 9 10 10 9 6 3 4 9 14 17 17 15 14 15 18 21 24 23 20 17 14 12 11 10 9 9 10 10 10 10 11 12 12 12 12 12 11 10 9 8 8 9 9 10 9 9 9 8 8 8 9 10 8 6 4 1 0 1 3 5 7 9 9 9 9 9 10 10 11 14 17 20 22 23 23 21 19 17 15 13 12 12 12 12 12 11 10 10 10 10 11 12 12 12 12 12 12 13 13 11 9 9 10 10 9 9 9 10 11 11 11 11 10 10 10 11 11 11 11 10 9 9 8 8 nan
nan 10 10 10 10 11 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 10 9 9 9 10 11 11 11 11 9 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 10 10 9 6 4 7 12 17 18 15 13 12 13 15 19 22 22 20 16 13 11 11 10 10 10 10 10 11 11 12 12 13 13 12 11 11 9 9 9 9 10 10 10 10 9 8 7 6 7 9 12 12 11 8 5 2 1 2 3 5 8 8 9 8 8 8 8 8 9 11 13 16 18 20 21 22 21 20 17 14 13 12 12 13 12 11 11 11 10 11 12 13 13 14 13 13 13 13 12 12 12 12 12 11 10 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 9 8 9 9 9 9 9 10 10 10 11 11 11 10 9 9 8 7 6 7 7 8 9 9 9 10 9 9 9 9 9 10 10 8 5 6 10 15 18 17 13 11 10 11 14 18 21 22 21 18 14 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 10 9 8 6 4 5 8 11 12 12 11 9 7 5 3 2 3 5 7 7 8 7 7 7 6 6 6 7 9 11 13 15 18 21 22 21 19 17 14 13 12 12 12 12 12 11 12 13 13 14 14 14 13 13 13 13 13 14 14 15 14 13 12 11 11 10 9 9 8 9 10 9 8 7 7 8 9 9 10 10 nan
nan 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 10 10 9 8 7 7 8 9 9 10 10 10 9 9 9 9 10 10 8 5 6 10 16 18 15 11 9 9 10 13 17 20 22 22 20 16 13 12 12 12 12 12 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 10 10 8 7 5 6 8 9 10 10 10 10 10 9 7 5 4 4 5 6 7 7 7 6 6 4 2 2 3 5 7 8 11 14 18 20 21 20 18 15 12 11 11 11 10 10 10 11 11 11 11 10 9 9 10 12 12 13 13 14 14 14 13 12 10 8 7 6 7 9 10 10 9 8 8 9 9 10 11 11 nan
nan 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 12 12 11 10 9 8 8 9 9 10 10 10 10 10 10 10 11 11 9 6 6 9 15 16 13 10 8 8 10 12 15 17 20 22 21 18 15 13 13 13 14 13 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 10 10 10 11 10 9 8 8 7 7 8 8 8 8 8 6 3 2 1 2 3 4 5 7 10 13 17 19 19 17 13 10 8 8 8 8 8 8 9 9 9 8 8 8 9 10 11 11 11 11 11 11 10 8 7 6 6 8 10 11 11 12 12 12 11 11 11 12 12 11 nan
nan 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 10 10 9 10 11 12 12 12 11 11 10 9 9 9 9 10 11 11 11 11 11 12 11 9 6 6 9 13 14 12 9 7 8 10 12 13 15 17 19 19 17 15 14 13 14 14 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 9 7 6 4 3 3 4 4 4 4 6 10 13 15 15 13 11 8 7 7 7 8 7 8 10 10 11 11 11 11 11 10 10 10 9 8 8 7 6 6 8 10 11 11 11 11 11 12 12 13 13 13 12 12 11 nan
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nan 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 11 10 10 10 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 9 10 10 10 10 9 9 9 10 11 12 12 12 12 13 12 8 4 5 8 12 14 12 9 9 9 10 12 12 12 13 13 13 13 12 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 10 12 15 16 16 14 12 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 12 12 12 11 11 12 13 14 14 13 11 10 9 7 7 7 7 9 10 11 11 10 9 9 9 9 9 9 9 8 8 9 11 12 12 10 10 10 10 10 10 10 10 10 9 8 7 7 nan
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nan 8 8 8 7 8 8 9 10 12 13 13 12 11 11 11 11 10 9 8 9 9 9 8 7 7 7 8 8 9 9 10 10 9 9 10 10 10 10 10 11 12 11 10 10 9 8 7 7 7 8 8 9 8 8 8 8 8 8 9 11 12 13 12 9 4 -2 -3 1 8 12 14 14 14 14 15 16 18 19 17 14 12 10 10 10 9 8 7 7 8 8 8 8 8 9 9 8 8 8 9 10 11 13 14 14 13 11 11 11 11 11 9 6 5 6 8 10 11 13 14 16 15 12 10 8 8 8 9 9 9 10 10 10 9 9 8 8 6 3 -0 -1 1 5 8 13 17 18 19 21 23 24 25 24 23 22 20 19 18 19 19 20 20 20 20 20 20 20 18 15 12 10 9 9 10 10 10 9 8 8 7 7 7 7 7 7 7 nan
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nan 10 11 11 11 11 10 9 9 9 9 10 10 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 11 13 14 15 15 14 14 14 14 13 12 12 12 13 14 16 17 17 17 17 17 16 15 14 13 12 11 11 11 11 11 11 11 11 12 12 12 10 10 11 12 11 10 8 8 8 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 10 10 10 10 11 11 11 10 9 9 10 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 11 11 12 12 11 9 7 7 8 9 9 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 10 10 10 10 10 10 10 10 10 10 10 10 9 10 11 12 13 13 13 13 13 13 12 11 10 9 9 9 9 11 12 14 15 15 15 15 14 13 12 11 11 11 11 11 11 11 11 11 12 12 12 10 9 10 12 13 12 10 9 9 9 10 9 9 8 8 8 8 8 9 9 10 10 10 10 9 10 9 9 9 10 10 10 11 11 11 12 13 13 13 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 12 12 12 11 11 10 10 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 nan
nan 12 13 13 13 12 9 7 7 7 8 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 11 11 11 11 10 10 10 11 11 13 13 13 13 12 11 11 10 10 9 8 8 8 9 10 12 13 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 10 9 10 11 12 12 10 9 9 10 11 11 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 11 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 10 nan
nan 13 14 15 16 14 11 9 7 6 7 8 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 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 11 12 13 13 13 12 12 11 10 10 9 9 9 9 9 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 9 9 10 10 11 11 11 11 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 nan
nan 13 15 17 18 17 13 10 8 8 8 9 9 9 10 10 10 10 11 11 11 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 10 10 10 10 10 10 10 11 11 12 13 13 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 12 12 13 12 12 10 9 9 9 9 9 9 9 10 11 11 11 10 11 11 10 10 9 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 12 13 14 14 13 12 12 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 11 11 12 12 12 12 12 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 nan
nan 12 15 18 19 17 14 12 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 12 13 13 13 13 13 13 12 10 9 9 9 10 10 10 10 10 11 11 10 10 10 10 9 8 8 8 9 9 10 10 10 9 9 9 10 11 12 12 13 13 12 10 10 9 9 8 8 8 8 9 10 10 10 11 11 12 11 11 10 9 9 8 8 8 9 9 10 10 10 10 10 10 11 12 13 14 14 13 12 12 12 12 12 11 10 10 10 9 9 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 13 12 12 11 11 11 11 11 11 10 9 9 9 10 10 11 11 10 nan
nan 12 14 16 16 15 14 13 12 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 16 16 15 13 10 8 7 7 9 10 10 10 10 10 11 11 11 11 11 11 10 9 9 8 8 9 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 11 10 9 8 7 7 8 8 8 9 9 11 11 12 12 12 12 11 10 9 8 9 9 10 10 10 9 9 10 10 11 12 13 13 13 13 13 13 13 13 12 12 11 10 10 9 9 10 11 11 11 10 10 10 10 10 10 10 11 12 12 11 11 10 10 10 11 12 12 13 13 12 12 11 11 12 11 10 10 9 9 9 10 10 11 11 11 nan
nan 12 12 12 12 13 14 14 13 11 10 10 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 13 16 18 19 19 16 12 7 4 3 5 7 9 10 10 10 10 11 12 12 12 12 12 12 11 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 11 12 13 14 14 13 12 10 9 8 7 7 7 7 7 8 10 11 12 13 13 12 11 10 9 8 8 9 9 9 9 9 10 10 11 11 11 12 12 12 12 13 13 13 13 14 13 13 12 11 11 10 11 11 11 11 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 12 12 13 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 nan
nan 11 11 11 11 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 11 11 12 11 11 11 10 10 10 10 9 10 9 9 9 10 11 14 18 20 22 21 17 12 7 2 1 3 5 8 9 10 10 10 11 11 11 11 11 11 12 12 11 10 10 9 10 10 11 11 12 12 12 12 11 11 10 10 11 12 13 14 14 14 13 11 10 9 7 6 6 6 6 7 9 10 11 11 12 11 11 10 9 8 8 8 9 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 15 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 nan
nan 11 11 11 11 12 12 11 11 12 12 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 14 18 21 23 22 18 14 9 4 2 3 5 7 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 12 13 14 14 14 13 12 11 9 7 6 6 6 7 7 8 9 9 10 11 11 10 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 12 13 14 15 15 15 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 10 10 10 11 11 11 11 12 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 13 13 13 12 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 12 16 20 23 23 19 15 10 6 4 5 6 8 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 12 12 13 14 14 14 12 11 9 7 6 6 6 6 7 7 8 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 11 12 12 14 16 16 16 15 13 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 12 13 14 14 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 14 18 20 20 18 14 10 7 6 6 7 8 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 13 14 14 13 12 11 9 8 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 9 9 9 10 10 11 11 13 15 16 17 16 14 13 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 nan
nan 11 11 11 10 10 11 11 11 11 11 11 12 12 13 13 13 12 12 12 11 11 12 12 12 13 12 12 12 12 12 12 12 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 10 12 14 16 16 14 12 10 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 13 12 11 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 11 13 14 15 16 17 16 14 13 12 12 12 13 13 13 12 12 12 12 11 11 10 10 10 11 11 12 12 12 11 11 11 11 11 10 10 9 9 10 10 10 11 11 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 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 12 12 12 12 11 11 11 11 11 11 11 12 13 13 13 12 11 10 10 10 9 9 8 8 9 9 10 10 11 10 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 14 15 16 16 15 14 12 12 12 12 12 12 12 13 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 12 nan
nan 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 13 14 14 14 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 9 10 10 11 11 12 12 12 12 11 11 11 11 10 10 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 12 12 12 12 11 11 11 11 10 10 11 12 13 13 13 12 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 14 15 15 15 14 13 13 12 12 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 nan
nan 11 11 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 11 12 12 12 11 10 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 8 8 9 10 10 10 10 9 9 10 10 11 12 12 12 12 11 11 12 11 11 11 11 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 11 10 10 11 12 13 13 12 11 10 10 10 11 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 13 14 15 14 14 14 13 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 9 9 9 9 9 8 8 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 8 8 7 7 7 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 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 11 10 11 11 12 12 12 12 10 10 10 10 11 12 13 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 11 13 14 14 14 14 13 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 9 9 8 8 8 8 8 nan
nan 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 8 8 7 7 8 9 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 12 13 13 13 11 10 9 9 9 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 11 12 13 14 14 14 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 nan
nan 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 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 11 11 11 12 13 14 14 13 12 10 9 8 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 11 12 14 14 14 14 13 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 12 12 nan
nan 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 13 13 13 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 12 12 12 11 11 11 12 12 13 14 14 14 12 10 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 9 9 9 10 11 12 13 13 14 14 13 13 13 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 12 12 12 nan
nan 11 11 11 11 11 10 10 10 11 11 11 10 10 11 11 11 11 11 11 10 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 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 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 11 11 11 11 11 11 11 10 10 11 11 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 11 11 11 12 12 11 10 11 11 11 11 12 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 10 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 10 10 10 10 10 11 12 12 12 12 12 11 11 11 10 10 10 10 9 9 10 10 10 10 11 11 12 12 12 12 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 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 13 13 13 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 11 10 9 9 9 9 9 10 11 11 11 11 11 11 12 11 10 10 10 10 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 nan
nan 11 11 11 11 10 11 11 11 10 10 10 11 11 11 12 13 13 12 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 12 12 11 11 11 11 11 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 13 13 13 12 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 12 13 14 14 13 11 10 8 7 6 6 7 9 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 13 13 12 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 11 12 13 15 16 15 14 12 9 7 5 4 5 8 11 12 12 10 9 9 9 9 9 9 10 10 10 10 11 12 13 13 13 12 12 12 13 12 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 12 12 11 11 11 10 10 11 12 12 13 12 12 12 12 11 11 11 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 13 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 10 9 10 11 13 15 15 14 13 11 8 7 5 6 9 11 11 10 8 7 7 7 7 7 8 8 8 9 9 11 12 13 13 12 11 11 12 12 12 12 12 11 11 10 10 11 11 12 12 12 12 11 11 11 12 12 11 11 10 nan
nan 11 11 12 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 12 12 11 11 11 10 11 12 12 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 11 11 11 11 12 12 13 13 12 12 12 12 12 12 12 12 11 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 10 11 11 11 11 11 12 12 14 14 14 13 13 12 12 12 11 11 11 11 11 11 10 10 9 9 10 11 13 13 13 12 11 9 8 8 9 10 11 9 7 5 5 6 8 8 8 8 8 8 8 9 10 11 12 12 11 11 11 11 12 12 12 11 11 10 10 10 11 12 12 12 12 11 11 11 12 12 12 12 11 10 nan
nan 11 11 12 11 11 11 10 11 11 11 11 11 11 12 11 11 11 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 12 12 12 12 11 11 10 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 12 12 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 12 13 13 14 13 13 13 13 13 12 11 10 10 11 12 13 13 12 11 11 10 11 11 10 9 8 8 8 8 10 11 11 9 7 6 7 8 9 10 10 10 10 10 9 9 9 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 11 12 12 12 11 11 11 11 11 11 12 12 12 11 nan
nan 10 11 12 12 11 11 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 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 12 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 11 11 12 12 12 12 13 13 13 12 11 11 12 13 13 13 12 11 10 10 11 13 15 16 16 15 14 11 10 9 8 7 7 6 6 7 8 10 11 11 10 10 9 9 10 10 11 12 12 12 11 10 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 10 10 11 11 11 11 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
49 51 49 43 35 26 21 19 18 18 21 28 39 42 44 42 34 25 17 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 10 27 42 45 30 27 31 38 47 55 61 69 80 91 101 108 115 124 134 142 149 156 166 181 206 242 288 350 427 511 589 647 671 657 560 439 335 261 220 188 156 125 95 57 30 12 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 4 5 7 8 10 11 12 13 14 19 48 115 217 328 393 405 378 325 262 208 157 119 98 88 80 66 87 86 70 47 25 21 32 49 62 65 52 34 28 27 28 32 45 50 53 55 58 63 82 101 107 97 78 58 40 35 38 44 51 54 51 44 36 32 31 28 24 20 17 15
52 53 54 49 39 28 25 23 23 26 31 37 48 50 50 47 42 35 25 17 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 22 36 39 19 18 21 26 33 41 47 57 68 80 94 106 119 131 146 160 172 180 188 200 217 243 276 317 370 436 514 599 676 740 690 557 400 269 226 190 149 105 69 35 16 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 4 5 7 10 12 13 14 15 17 26 63 134 221 299 343 351 323 261 203 153 116 96 87 78 68 77 92 103 97 66 51 52 65 80 85 72 57 50 51 56 54 57 55 54 55 61 67 80 89 87 75 58 43 34 33 37 44 51 52 48 40 31 28 26 22 18 16 16 14
57 58 55 48 38 29 28 29 31 37 45 49 52 53 54 52 50 43 31 22 12 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 1 6 18 33 33 16 11 12 15 20 26 32 45 58 70 83 99 114 129 145 163 179 192 203 214 226 243 269 298 337 389 454 530 610 712 725 629 452 256 212 175 127 74 31 11 4 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 3 2 3 3 3 4 5 7 10 12 14 16 16 18 24 43 87 154 234 293 321 313 259 191 133 96 80 71 62 58 67 98 140 148 111 82 70 75 88 90 81 73 68 67 76 72 65 57 51 52 59 68 75 77 70 55 45 39 36 38 44 61 69 66 57 44 39 34 27 19 13 10 14 15
63 62 56 47 37 30 30 34 40 47 53 54 55 55 55 55 54 49 35 23 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 6 14 25 24 14 6 3 6 12 15 20 29 41 55 71 86 101 116 133 151 169 187 202 216 229 243 257 278 311 359 415 465 538 634 692 661 504 259 194 147 96 49 14 2 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 2 2 2 3 3 4 5 7 9 12 16 18 19 21 27 39 62 106 182 250 291 307 273 202 125 73 56 47 41 36 46 86 158 180 157 120 94 89 92 84 75 70 72 77 88 85 74 58 45 51 59 66 69 68 59 45 42 44 48 53 59 73 84 89 87 74 69 57 42 28 19 15 18 19
60 61 57 49 41 36 35 38 43 49 54 55 57 57 57 56 55 53 36 22 12 4 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 3 2 3 4 6 9 15 15 9 3 0 0 0 3 8 14 23 36 55 70 84 98 112 127 143 162 180 199 218 236 250 266 289 328 387 444 501 568 623 612 431 272 183 120 70 32 10 3 2 3 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 2 2 3 4 6 8 11 14 18 21 24 29 37 48 82 151 228 282 308 294 231 146 74 37 28 27 26 34 70 148 192 187 157 129 117 108 95 83 72 66 78 91 93 84 67 48 52 57 63 65 62 50 45 47 54 65 73 84 98 115 131 141 129 111 86 59 37 24 21 22 23
57 59 55 47 41 39 45 45 46 48 51 54 58 60 61 60 59 55 41 27 15 6 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 2 2 4 5 5 5 5 6 6 7 8 10 8 5 2 0 0 0 0 1 3 7 16 33 48 63 77 90 102 113 129 147 168 196 225 244 259 275 305 357 424 483 531 569 582 460 315 189 101 52 21 8 6 7 6 3 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 1 0 0 0 0 1 1 1 2 3 5 7 11 15 21 27 36 47 57 91 152 229 300 330 317 256 168 81 31 16 16 23 36 67 131 191 207 181 153 136 126 115 101 82 68 68 73 80 84 74 59 55 57 59 57 49 44 45 52 65 86 97 117 144 173 200 201 183 147 104 65 37 20 14 15 18
56 59 56 50 47 52 55 51 49 49 50 54 60 63 62 61 61 55 42 30 19 10 3 1 0 0 0 1 0 1 0 0 0 0 1 1 1 1 1 2 3 5 5 5 5 6 7 7 7 6 5 4 2 0 0 0 0 0 0 0 0 1 9 21 36 51 67 81 95 109 125 144 170 203 230 250 266 286 324 382 450 509 549 567 483 338 185 73 33 13 4 4 6 5 1 0 0 0 0 0 1 1 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 10 16 23 35 56 77 114 172 247 312 337 333 290 205 106 49 21 15 22 40 79 142 198 218 193 162 143 135 131 121 102 79 66 63 68 74 67 56 48 45 42 35 33 38 47 60 85 117 148 179 204 222 234 226 195 146 89 51 26 12 6 6 9
58 64 64 60 57 59 56 51 49 50 52 56 63 64 62 60 57 51 40 29 19 11 7 3 1 1 1 1 1 0 0 0 0 0 0 1 1 1 2 3 4 4 4 4 5 7 7 5 4 4 4 4 2 1 0 0 0 0 0 0 0 0 1 6 14 26 39 55 76 96 116 137 159 183 209 232 250 267 293 341 418 496 549 579 523 384 198 44 17 7 2 1 1 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 12 21 40 67 109 168 251 349 398 394 348 258 157 91 52 34 33 51 89 155 213 234 218 181 152 141 140 133 113 94 82 77 75 71 59 46 38 37 36 22 18 29 50 77 115 156 196 229 246 243 218 183 143 101 50 23 9 5 5 5 5
56 67 72 70 65 61 53 48 47 49 52 57 61 58 55 51 49 43 36 28 18 9 7 4 3 2 3 3 2 1 1 0 0 0 0 0 1 2 3 4 3 3 3 4 3 5 5 3 2 3 5 6 4 1 0 0 0 0 0 0 0 0 0 1 4 10 18 32 51 76 105 135 162 182 202 221 238 254 274 316 388 472 543 590 573 451 252 56 6 2 0 0 0 0 0 0 1 2 2 1 1 1 1 1 1 2 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 1 1 2 3 3 7 15 28 46 70 142 241 338 388 390 326 237 166 111 73 62 79 121 177 227 252 238 199 166 149 143 132 113 106 105 104 97 82 63 46 34 29 18 10 9 25 61 108 152 193 227 249 245 208 157 105 62 29 11 3 1 3 8 13 13
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