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 6 6 5 5 5 5 6 6 6 6 6 7 7 7 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 10 11 11 12 13 13 13 12 12 11 10 10 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 11 11 11 10 11 11 12 13 14 16 16 15 14 12 10 10 11 11 11 11 10 10 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 9 9 8 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 10 10 9 10 11 nan
nan 6 6 6 5 5 5 5 5 5 6 7 7 8 8 8 7 7 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 11 12 12 11 10 9 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 12 12 12 14 15 15 14 13 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 8 9 9 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 10 10 10 10 9 9 10 10 9 9 10 11 nan
nan 6 6 6 6 6 5 5 5 5 6 7 7 8 8 8 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 7 8 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 11 11 11 11 11 12 13 14 14 14 13 12 11 11 11 10 10 10 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 11 nan
nan 7 7 6 6 6 6 6 5 5 6 6 7 8 9 9 9 8 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 8 8 8 8 7 7 8 9 10 11 12 11 10 8 7 8 9 9 8 8 7 7 7 6 7 7 7 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 11 11 11 11 11 10 10 10 11 12 14 16 16 14 12 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 8 9 10 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 11 nan
nan 8 7 6 6 6 6 6 6 6 6 7 9 11 12 13 12 11 9 8 7 7 7 8 9 9 9 9 8 7 6 6 8 9 10 9 8 6 6 8 11 14 17 18 17 14 10 8 8 8 7 7 7 7 7 6 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 11 12 11 11 11 10 10 10 10 12 14 16 16 15 13 13 12 12 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 10 9 9 10 11 12 12 12 11 11 11 11 nan
nan 9 7 6 5 6 6 7 7 8 9 12 15 18 19 19 17 15 12 10 9 8 8 8 8 8 8 8 7 6 6 6 8 9 9 8 6 5 7 11 16 20 22 23 21 17 13 9 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 10 10 11 11 12 12 11 11 10 10 10 10 12 14 15 16 15 15 14 13 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 9 9 9 8 8 9 9 9 9 9 10 10 11 12 12 12 12 11 11 nan
nan 10 8 6 5 6 6 8 9 11 15 19 23 24 24 23 20 18 15 12 10 9 8 8 8 7 7 7 6 6 6 6 7 7 6 5 3 3 8 14 19 22 24 23 20 16 12 10 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 9 10 10 11 11 12 11 11 11 10 10 11 12 13 14 15 15 15 14 13 10 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 9 9 9 9 10 9 8 8 8 9 10 10 9 10 11 11 12 11 11 nan
nan 10 8 6 5 5 6 8 11 14 19 23 25 24 22 20 18 17 15 13 12 10 9 8 8 7 7 7 8 8 8 8 7 6 4 2 1 3 8 13 18 20 20 18 15 12 10 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 11 12 13 14 15 15 15 14 12 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 12 11 11 11 10 10 10 10 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 8 9 10 10 9 9 8 9 9 10 10 10 nan
nan 10 7 5 5 5 6 8 11 16 21 22 20 16 14 12 13 13 13 12 12 11 10 9 8 7 7 8 10 11 11 10 9 7 4 2 1 3 6 10 13 14 14 13 11 9 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 10 11 11 12 13 14 15 15 13 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 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 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 9 9 9 8 7 8 8 9 nan
nan 8 6 5 5 5 7 10 14 19 21 20 15 10 7 7 8 10 11 12 12 12 11 10 9 8 8 9 11 12 12 11 10 8 6 4 3 4 5 7 9 10 10 10 9 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 11 12 13 15 16 15 13 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 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 9 9 9 8 9 9 9 9 9 10 10 10 11 10 9 9 9 9 8 7 7 7 8 nan
nan 7 5 4 5 7 10 15 19 22 21 17 13 9 7 6 7 9 10 11 12 12 12 11 10 9 9 9 10 10 11 11 10 9 8 6 6 5 5 6 7 8 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 12 15 16 16 14 13 10 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 9 9 9 9 9 9 10 11 10 10 9 9 8 8 7 7 6 7 nan
nan 5 4 3 5 7 12 18 21 22 18 14 11 9 8 7 8 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 9 10 11 11 10 10 9 9 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 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 10 10 10 10 10 10 10 10 12 13 15 16 15 13 12 11 10 10 9 9 9 9 8 8 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 9 9 9 9 9 10 11 10 10 9 9 8 8 7 7 6 6 nan
nan 5 3 2 3 5 10 16 19 19 15 12 10 9 8 8 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 11 11 12 11 11 10 10 10 9 9 9 9 9 9 10 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 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 10 12 13 13 13 13 13 13 11 10 10 10 10 10 9 8 8 7 7 7 8 8 10 10 10 10 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 9 10 10 9 9 8 8 9 9 9 9 10 11 11 11 10 10 9 9 8 8 8 8 7 6 nan
nan 6 4 3 3 4 6 11 14 14 13 11 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 11 12 12 11 10 10 9 8 7 8 8 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 8 8 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 11 12 12 12 14 14 12 11 11 11 11 11 10 9 8 8 7 7 8 8 9 10 10 10 10 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 9 10 9 9 8 8 9 9 9 10 11 12 12 12 11 10 9 9 9 9 9 8 7 6 nan
nan 9 8 7 6 6 6 8 11 11 11 10 9 8 8 8 7 7 6 6 7 7 7 7 6 6 6 7 10 13 17 17 15 13 11 9 8 7 8 9 10 10 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 7 7 8 8 9 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 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 9 9 9 9 9 9 9 10 11 12 13 15 15 14 12 11 11 11 10 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 12 13 13 13 12 10 9 9 10 10 10 9 8 7 nan
nan 10 10 10 10 10 10 11 13 14 14 14 13 12 11 11 10 9 8 7 7 7 7 7 7 6 6 7 9 13 17 19 19 16 14 11 9 8 8 9 10 10 11 11 10 10 10 10 10 10 10 9 9 8 7 7 7 7 8 9 10 11 11 10 9 9 9 8 8 8 8 8 8 8 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 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 13 15 16 16 15 13 11 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 11 12 13 14 14 12 10 9 10 10 11 11 10 8 8 nan
nan 10 11 11 12 13 14 16 19 21 22 22 20 19 17 16 14 13 11 9 8 8 8 9 9 9 9 9 10 12 15 18 18 17 15 13 10 9 9 9 10 10 11 10 10 10 10 10 10 10 10 9 9 7 6 6 7 8 9 12 14 15 14 13 11 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 8 9 9 9 9 9 10 11 13 15 16 16 14 12 11 10 9 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 8 7 7 6 7 9 11 12 13 14 14 12 10 9 9 9 10 10 10 9 9 nan
nan 8 8 9 11 13 16 20 25 28 28 26 24 22 20 19 17 14 12 10 9 9 10 11 12 12 12 11 11 13 15 17 18 18 16 14 11 9 9 9 10 10 11 11 10 10 10 10 10 10 10 9 8 6 5 5 6 8 11 15 18 19 18 15 13 11 10 10 9 9 10 10 10 10 10 9 9 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 8 9 9 9 9 10 10 11 13 14 15 15 13 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 8 7 8 9 9 9 9 9 9 9 8 7 7 7 7 8 9 10 12 13 14 13 12 10 8 7 7 8 9 9 9 9 nan
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nan 4 4 4 6 9 11 14 18 22 24 22 18 16 15 13 12 12 12 11 10 10 11 11 11 10 10 10 13 18 23 26 27 25 20 16 13 11 10 9 9 10 11 11 11 10 10 10 10 10 9 7 5 3 3 4 7 10 15 19 21 20 18 16 14 12 11 11 10 10 10 10 11 11 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 11 10 10 9 8 8 8 9 9 9 10 10 11 11 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 9 9 9 9 10 10 10 10 11 11 10 10 10 9 9 9 8 9 10 10 10 10 10 10 8 8 8 8 9 9 9 9 9 9 8 7 8 8 8 9 9 9 10 10 10 11 12 13 13 12 11 9 7 7 7 7 7 7 8 nan
nan 5 5 5 6 7 8 10 14 18 22 21 18 15 13 11 11 11 11 11 10 11 10 10 9 8 7 9 14 22 29 31 30 26 21 16 14 12 10 10 10 10 11 11 11 10 10 10 10 9 8 6 4 2 2 3 6 12 17 20 20 18 16 15 14 12 12 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 10 10 11 11 10 10 9 8 8 8 9 9 9 10 10 10 11 11 12 12 12 12 12 13 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 10 11 11 10 10 9 8 8 8 9 9 9 9 9 9 8 8 9 10 11 10 9 9 10 11 12 11 11 11 12 12 13 12 10 8 8 8 7 7 7 8 nan
nan 8 8 8 8 8 8 10 13 17 21 22 18 15 13 11 11 11 10 10 10 10 10 9 7 5 5 9 16 24 29 30 28 24 19 16 14 12 11 10 10 10 11 11 11 11 11 11 10 9 7 5 3 1 1 3 6 14 19 20 19 17 14 13 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 9 9 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 12 13 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 10 10 10 11 11 10 9 8 9 11 12 12 11 10 10 11 12 12 11 10 10 9 8 7 7 8 nan
nan 10 10 10 9 9 10 11 15 18 21 21 18 15 13 11 10 10 10 10 10 10 9 7 5 2 4 10 17 22 23 22 19 17 17 15 14 13 11 10 10 11 11 12 12 12 11 11 10 8 6 4 2 1 0 2 7 14 19 20 18 16 13 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 10 9 9 8 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 13 13 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 10 9 9 9 8 9 9 9 10 10 11 10 10 10 10 10 9 9 10 11 11 10 10 9 9 10 11 12 12 11 11 10 9 7 7 7 nan
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nan 9 9 9 10 11 12 14 16 17 16 15 14 13 12 12 10 9 7 5 3 2 0 -0 3 9 13 15 13 9 6 6 8 10 12 13 13 13 12 12 11 11 11 12 12 12 12 11 9 7 5 5 6 8 9 9 9 9 10 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 12 12 12 13 12 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 8 9 9 10 10 9 9 9 9 9 10 11 12 13 12 11 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 10 9 8 8 nan
nan 9 10 11 12 12 13 14 14 13 12 12 12 12 11 10 9 7 5 2 -1 -3 -3 0 7 13 15 15 11 7 5 5 8 11 12 14 14 13 13 12 12 11 11 12 12 12 11 10 9 8 6 5 6 8 10 10 9 8 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 11 11 11 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 12 12 11 11 10 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 8 9 9 9 9 9 8 8 8 8 9 10 11 13 13 12 11 11 11 11 11 11 12 12 12 12 12 13 14 13 13 12 11 11 12 12 12 11 10 9 9 nan
nan 9 10 11 12 14 15 17 15 11 9 9 9 9 9 8 6 5 3 -0 -4 -5 -4 4 12 16 16 13 10 7 6 7 9 11 13 14 14 14 13 12 12 12 12 12 12 12 11 10 10 9 8 7 7 8 9 9 7 7 6 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 9 11 12 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 7 8 9 10 10 10 9 8 8 8 8 8 8 9 11 13 13 12 12 11 11 11 11 11 12 12 12 12 12 13 14 14 14 13 12 11 11 12 12 12 10 10 9 nan
nan 9 9 9 10 13 17 21 20 16 11 8 7 7 7 5 3 2 1 -1 -4 -5 -1 7 14 15 14 11 9 8 8 9 11 12 13 14 14 14 13 12 12 12 13 13 12 12 11 11 10 9 9 8 8 9 8 8 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 8 7 7 8 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 10 10 9 9 8 8 8 8 8 8 9 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 13 14 14 14 13 12 11 10 11 11 11 11 10 10 nan
nan 10 9 8 9 12 18 24 25 22 17 12 8 6 5 2 1 1 1 0 -3 -3 1 6 11 11 10 9 9 10 11 11 12 12 13 13 14 13 13 13 12 12 13 13 13 12 12 11 11 10 9 9 8 8 8 8 7 7 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 11 10 9 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 9 10 11 11 11 11 12 12 12 11 11 11 10 11 12 12 13 13 13 13 13 13 12 10 10 9 10 11 11 11 11 nan
nan 9 9 10 12 15 20 24 26 24 21 16 11 6 3 0 -0 1 3 4 1 -1 2 4 6 7 7 7 9 11 12 12 12 12 12 13 13 13 13 13 13 12 12 13 13 13 12 12 11 11 10 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 12 10 9 8 9 9 9 9 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 11 12 12 12 12 11 11 10 10 11 12 12 12 12 12 12 13 12 11 9 9 9 10 10 11 11 nan
nan 8 10 13 17 19 21 22 22 21 20 16 11 6 2 -1 -0 2 5 7 6 3 3 3 4 4 5 6 8 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 10 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 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 9 9 9 9 9 9 10 11 12 13 13 13 13 11 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 11 11 11 11 11 10 10 11 11 12 12 12 11 11 12 12 12 11 9 8 9 9 10 11 11 nan
nan 6 8 13 19 21 21 19 18 17 15 13 9 4 1 -0 -0 2 6 8 9 7 6 5 4 4 4 5 7 9 11 12 12 13 12 12 12 12 12 13 13 13 12 12 11 12 12 12 12 12 11 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 13 14 14 13 12 11 11 11 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 7 7 8 9 9 10 10 11 11 11 11 10 9 10 11 11 12 11 11 11 11 11 11 11 10 9 9 9 9 10 10 11 nan
nan 5 7 10 15 17 17 16 14 13 12 10 8 5 2 1 0 2 5 8 9 9 8 7 6 5 5 6 7 8 9 10 12 13 13 12 12 12 12 12 13 13 13 12 11 11 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 9 10 11 12 13 14 14 13 12 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 8 9 10 10 10 11 11 11 11 10 10 11 11 11 11 10 10 10 10 9 9 10 10 10 9 9 9 10 10 nan
nan 6 6 7 10 12 12 12 12 11 10 9 8 6 4 3 2 3 5 7 9 9 9 8 7 7 6 7 7 7 8 9 11 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 9 10 11 12 13 14 14 13 12 11 11 10 11 11 10 9 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 6 6 6 7 8 9 10 10 11 11 11 11 10 11 11 11 11 10 10 10 11 10 10 9 9 9 10 9 9 9 9 10 10 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 8 6 5 5 5 5 7 8 9 9 9 8 8 7 7 7 8 8 9 11 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 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 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 9 9 10 11 12 13 13 13 13 12 11 10 10 10 10 10 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 11 11 10 10 10 11 11 11 10 9 9 9 9 9 9 8 9 9 10 nan
nan 13 15 14 13 11 10 9 9 9 10 10 10 9 9 8 7 6 7 7 8 9 9 10 9 8 8 7 7 7 8 9 11 11 12 12 12 11 12 12 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 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 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 11 10 9 9 9 8 9 9 9 9 10 10 11 12 12 13 13 13 12 11 10 10 10 10 10 9 8 8 9 9 10 10 10 9 9 9 9 10 10 9 9 9 8 8 8 8 9 9 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 nan
nan 17 21 21 18 16 13 11 11 11 12 12 12 11 11 9 8 8 7 7 7 8 9 9 9 9 8 8 7 7 8 9 10 11 11 11 11 11 11 12 13 13 13 13 13 12 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 12 11 10 10 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 8 9 9 9 10 11 12 13 13 14 14 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 nan
nan 16 20 21 20 18 16 14 13 13 13 14 13 13 12 11 10 9 8 8 7 7 8 9 9 9 9 9 8 8 8 8 10 10 11 11 11 11 12 12 12 13 13 13 13 12 11 11 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 10 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 13 15 15 14 13 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 nan
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nan 10 9 9 9 10 10 11 11 11 11 11 11 11 12 13 14 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 15 16 16 16 16 15 15 15 14 13 13 13 13 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 12 12 13 14 14 14 14 13 13 15 17 18 17 14 10 7 7 9 9 10 9 9 9 10 11 14 16 18 16 12 9 7 6 7 8 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 13 13 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 12 nan
nan 10 9 9 9 9 10 11 11 11 11 11 11 11 11 12 13 13 14 14 14 14 14 14 15 16 16 16 15 15 15 16 16 16 16 16 16 16 15 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 10 10 11 12 12 12 13 13 13 14 13 13 12 12 13 15 16 16 15 13 11 10 10 11 10 10 9 9 9 10 11 13 15 17 16 13 10 6 5 7 8 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 15 14 13 13 12 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 12 12 12 12 12 12 nan
nan 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 14 15 16 15 15 15 15 16 16 16 16 16 16 16 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 11 11 12 12 13 13 13 13 12 11 10 11 12 13 14 14 14 13 12 12 12 12 11 10 10 9 9 9 9 10 11 13 15 15 13 11 7 5 7 8 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 17 17 16 16 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 nan
nan 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 12 13 14 15 16 15 15 15 15 16 16 16 16 17 17 17 16 15 15 14 14 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 13 13 13 12 10 9 9 10 13 15 15 14 12 10 9 10 11 12 11 11 10 10 10 10 10 9 10 12 15 17 16 12 6 4 6 8 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 15 17 17 17 16 15 14 14 13 13 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 9 9 9 9 9 10 10 10 10 11 11 12 12 11 11 10 10 10 10 11 11 12 13 15 15 15 15 15 15 15 15 15 16 16 17 17 16 16 15 15 15 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 13 13 14 14 12 10 9 10 12 15 16 16 13 10 8 7 8 9 11 11 11 11 11 11 10 10 9 11 14 18 21 18 12 5 3 5 8 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 11 12 13 14 14 14 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 8 8 9 9 9 10 10 10 10 11 11 11 12 12 11 10 10 10 10 11 12 13 13 14 14 14 14 14 14 14 15 15 15 15 16 16 16 16 16 16 15 15 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 13 13 14 14 14 12 11 10 11 14 16 17 16 13 9 6 5 7 9 10 11 11 11 11 11 11 10 10 12 16 19 22 18 10 5 4 6 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 13 14 14 15 16 16 16 16 16 16 15 15 15 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 14 14 14 13 13 12 10 10 12 14 16 16 15 12 9 7 6 7 8 10 11 12 11 11 11 11 10 11 12 14 17 18 15 10 7 7 8 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 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 nan
nan 8 8 8 8 9 9 9 10 10 10 11 11 11 10 10 11 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 13 14 15 16 16 16 16 16 16 15 15 15 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 10 10 9 9 9 10 10 10 10 10 11 11 12 13 14 14 14 14 13 13 12 12 13 14 14 13 13 12 10 9 9 9 10 10 11 11 11 12 11 11 11 11 12 12 13 13 12 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 11 11 11 11 12 12 11 11 11 11 11 nan
nan 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 10 11 12 14 15 15 15 15 15 15 16 16 16 15 15 15 15 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 10 10 11 11 11 12 12 13 14 14 15 15 14 14 14 14 14 13 12 11 11 12 12 12 11 11 11 10 10 10 11 12 12 11 12 13 13 13 12 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 10 10 11 11 11 11 11 11 12 12 11 nan
nan 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 12 13 14 14 14 14 15 16 16 16 16 16 16 16 15 15 14 14 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 10 9 9 10 10 11 11 11 12 12 12 13 14 15 15 15 13 11 12 13 13 12 11 10 11 12 12 12 12 12 11 10 10 11 11 11 11 13 14 15 16 14 11 10 10 11 12 12 11 11 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 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 11 10 10 10 11 11 11 11 12 12 12 nan
nan 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 11 11 11 12 13 13 14 14 15 15 16 16 16 16 16 16 16 15 15 15 14 14 14 14 13 13 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 13 14 15 16 16 14 12 9 9 11 11 12 11 11 11 12 12 12 12 12 12 12 11 11 10 10 12 14 16 18 17 12 8 6 7 8 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 14 14 13 13 11 10 10 10 11 11 11 11 12 12 nan
nan 8 8 8 7 7 7 7 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 10 11 11 12 13 13 13 13 13 13 14 14 15 15 15 16 16 17 17 17 17 16 16 16 15 15 15 15 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 13 13 13 13 13 13 12 11 10 10 11 11 11 12 14 16 17 17 14 10 7 7 10 11 12 12 11 11 11 11 11 11 12 13 13 13 12 11 10 12 16 18 19 15 9 5 4 5 7 10 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 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 13 12 11 11 11 11 11 11 11 11 nan
nan 8 8 8 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 11 10 10 10 10 11 11 13 15 16 16 16 16 16 15 15 16 16 16 17 17 17 17 17 17 17 16 16 16 15 15 15 15 15 15 15 14 14 14 13 13 13 12 12 12 12 13 13 13 13 13 13 12 12 13 13 13 13 13 14 14 13 12 12 11 11 11 11 14 17 18 18 14 9 7 7 9 11 12 12 11 11 11 11 11 12 13 14 15 15 14 11 11 13 16 18 16 10 5 3 3 6 8 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 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 14 14 14 13 13 12 12 12 11 11 11 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 10 10 10 10 10 10 10 11 12 14 16 17 18 18 17 16 16 16 16 16 17 17 18 18 18 17 17 17 17 16 16 16 16 16 16 15 15 15 15 14 14 14 13 13 13 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 12 11 11 13 16 18 19 15 10 8 7 8 10 12 12 11 11 11 11 12 13 14 16 17 17 15 13 13 14 15 16 12 6 4 3 4 7 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 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 12 12 13 13 14 14 14 13 13 12 12 11 11 nan
nan 9 9 8 8 9 8 8 8 9 9 9 9 10 10 9 9 9 10 10 10 10 10 11 11 13 15 16 16 17 16 15 14 14 14 15 15 16 17 17 17 17 18 18 17 17 17 17 17 17 17 17 16 16 16 15 15 15 14 14 13 12 12 12 11 11 12 13 13 13 13 13 12 12 12 12 11 11 12 12 13 13 14 14 14 13 12 12 13 15 16 15 12 11 9 9 10 11 12 12 12 11 12 13 14 16 18 19 18 16 14 13 13 13 11 8 4 3 3 6 8 9 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 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 11 11 12 12 13 14 14 14 13 13 12 11 10 10 10 11 13 15 16 16 17 17 17 17 17 17 18 18 18 18 17 17 17 17 16 16 15 15 15 13 12 12 11 11 11 11 12 12 13 13 13 12 12 12 11 11 11 11 12 13 13 14 15 14 13 12 12 11 12 13 14 14 13 11 9 9 11 12 12 12 13 14 16 17 19 19 19 18 16 14 13 13 10 7 4 2 3 5 8 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 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 12 12 11 10 9 9 9 nan
nan 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 12 13 13 13 12 11 10 9 9 8 8 7 8 9 10 11 13 14 15 15 16 16 17 17 18 18 18 18 18 17 17 17 17 17 16 16 15 14 13 12 12 11 11 11 11 12 12 13 13 12 12 12 12 11 11 11 12 13 14 14 15 15 14 13 12 11 11 13 14 13 12 10 9 9 11 12 13 13 14 17 19 20 21 19 18 16 15 14 12 10 6 3 1 1 3 7 10 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 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 13 13 13 12 11 10 9 9 nan
nan 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 9 8 8 7 7 7 8 8 9 9 11 12 13 13 14 15 16 17 18 18 18 17 17 17 17 17 17 17 17 16 15 14 14 13 13 12 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 13 14 15 16 16 15 14 13 12 14 14 13 12 10 8 8 10 11 12 13 14 17 19 21 21 21 19 17 15 14 12 10 6 2 -0 -1 1 5 8 10 11 11 11 11 11 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 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 13 13 13 13 12 11 11 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 9 8 8 8 8 9 9 9 9 10 10 11 11 12 13 14 15 16 18 18 18 18 18 18 18 18 18 17 17 17 16 15 15 14 14 13 13 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 14 16 17 17 16 15 14 15 16 15 13 9 7 6 8 10 11 12 13 15 17 19 21 21 20 18 16 15 13 10 7 3 -0 -1 -1 2 7 9 10 10 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 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 13 13 13 13 12 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 9 7 8 8 10 11 11 11 11 11 11 11 12 12 13 14 15 16 18 18 19 19 19 19 19 19 19 18 18 17 16 15 15 14 14 14 13 13 13 12 12 12 12 12 12 12 12 11 11 12 12 12 13 16 17 17 16 16 16 18 18 16 13 8 6 6 8 10 11 12 13 14 15 16 18 19 19 19 17 15 12 9 6 3 -0 -1 -0 4 8 9 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 12 12 12 12 13 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 12 12 12 12 12 12 11 nan
nan 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 9 8 8 8 9 11 12 12 13 12 12 12 12 12 12 13 14 15 18 19 20 20 20 20 19 19 19 19 19 19 18 17 16 15 14 14 14 14 14 13 13 12 12 12 12 13 13 12 12 12 12 12 12 13 14 15 15 15 16 17 19 19 17 14 10 7 8 9 11 13 14 14 14 13 13 16 19 21 21 18 15 12 9 6 3 0 -1 1 4 7 9 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 12 12 12 12 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 12 12 11 11 12 12 12 12 nan
nan 11 11 10 10 10 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 10 11 12 12 13 13 13 12 12 11 11 12 14 16 18 19 19 19 18 17 17 17 18 18 19 19 19 18 18 17 16 15 14 14 14 14 13 13 12 12 13 13 14 14 13 13 13 12 12 12 12 12 12 13 14 16 18 19 18 15 12 9 9 10 12 15 17 16 15 14 13 16 21 23 22 19 15 12 9 6 3 -0 -1 1 5 8 9 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 11 11 11 11 12 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 12 12 nan
nan 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 11 10 10 9 10 10 10 10 10 10 10 11 12 13 13 13 12 11 11 11 12 14 16 17 16 15 13 12 12 13 15 16 18 19 20 21 21 20 20 19 18 17 16 15 14 14 13 13 13 13 14 15 15 15 14 14 13 13 13 12 11 11 12 14 17 19 20 19 15 11 8 8 10 13 16 18 19 18 16 15 16 18 19 18 17 15 12 8 5 2 -1 -0 2 6 8 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 11 11 11 11 10 11 11 11 10 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 12 12 nan
nan 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 14 14 14 15 14 13 12 10 10 9 10 11 11 11 10 10 10 11 12 13 14 15 14 13 12 12 12 13 15 16 16 15 13 11 10 10 12 14 16 18 20 21 22 23 22 22 21 20 19 18 17 16 15 14 13 13 13 14 15 15 15 15 15 14 14 13 13 13 13 15 17 19 20 20 16 12 8 7 7 9 13 16 18 19 20 19 18 16 16 16 16 16 14 11 6 3 -0 -1 2 5 7 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 nan
nan 11 11 12 12 12 13 13 13 13 13 13 14 14 15 15 15 15 15 15 13 11 10 9 10 11 12 12 11 10 10 11 12 13 14 15 15 15 14 13 13 13 13 15 16 16 16 15 13 12 12 13 14 15 17 19 20 21 22 22 22 22 22 21 21 20 19 18 16 15 14 14 14 14 14 14 15 15 15 15 14 14 14 14 15 18 20 21 21 18 12 9 7 7 8 10 13 14 16 18 21 21 20 18 17 16 16 16 13 9 4 1 -1 1 4 7 9 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 12 12 12 12 12 13 12 nan
nan 11 12 12 13 14 14 14 13 13 13 14 14 15 15 15 15 14 14 13 11 10 10 10 12 13 14 13 11 10 10 11 13 14 14 14 14 13 12 12 12 12 13 14 15 15 14 14 13 13 13 13 14 15 16 16 17 17 18 18 19 19 20 21 21 21 20 19 18 17 17 16 15 14 14 14 14 15 15 15 15 15 15 15 15 16 18 19 20 16 11 9 7 8 9 11 12 13 14 17 21 23 23 21 18 16 15 13 10 6 2 1 1 4 6 8 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 nan
nan 12 13 14 15 15 15 14 13 12 12 13 14 14 14 13 13 12 12 11 11 10 11 12 14 14 14 12 11 10 10 12 13 13 13 12 11 11 11 10 11 11 12 12 13 13 13 13 12 12 12 12 13 13 13 13 13 12 12 13 14 16 17 18 19 20 20 20 19 19 19 18 16 15 14 14 14 14 14 14 14 14 14 14 14 15 16 18 18 15 12 10 9 9 11 11 12 12 13 16 20 22 23 22 19 16 12 9 7 5 3 3 5 7 8 9 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 12 12 13 13 12 12 12 13 13 13 13 13 nan
nan 13 14 14 14 14 13 12 11 10 10 10 11 12 12 12 11 11 11 11 11 12 12 13 14 13 13 12 11 11 11 11 12 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 12 14 15 16 17 19 19 19 19 19 19 18 17 16 15 14 13 13 13 13 14 14 14 14 15 16 17 17 15 12 11 10 11 12 12 11 11 12 14 16 18 19 18 17 14 11 8 7 6 7 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 13 13 12 12 11 11 12 12 12 11 nan
nan 12 13 12 11 10 10 10 10 9 9 8 9 11 11 11 11 11 11 12 13 13 13 13 13 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 12 13 14 16 16 17 18 19 19 18 18 17 17 16 15 14 14 14 14 14 14 15 15 16 16 16 14 13 12 12 12 12 12 12 11 11 12 13 13 14 14 14 14 12 11 10 9 9 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 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 nan
nan 10 10 9 9 8 8 9 10 10 9 9 10 12 13 13 12 12 13 14 14 14 14 13 12 12 11 11 11 11 11 10 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 9 9 9 9 9 9 10 11 11 13 14 15 16 18 18 18 18 18 17 17 16 16 15 15 14 15 15 15 15 14 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 12 12 13 14 14 13 12 11 11 10 10 10 11 10 11 10 10 10 10 10 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 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 3 5 8 11 12 13 12 11 10 8 4 3 4 4 4 3 5 6 9 13 16 25 50 98 166 237 283 346 415 467 478 493 510 554 645 793 908 977 1009 999 948 872 800 737 685 642 603 464 300 160 75 40 34 29 29 33 36 34 28 20 13 12 13 17 22 25 25 25 19 18 20 23 24 24 25 28 34 35 37 39 41 42 41 37 33 29 25 23 22 21 22 25 26 27 29 28 27 25 23 23 23 24 28 38 49 66 79 86 87 85 82 81 83 86 87 84 80 80
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 4 6 9 11 12 11 9 6 3 3 3 3 2 3 3 3 4 7 11 14 29 56 104 171 242 269 312 366 420 456 490 524 561 622 718 788 880 969 1015 982 855 731 647 608 595 558 441 297 168 84 47 34 28 26 27 30 31 25 19 17 16 16 17 18 16 10 13 13 16 19 22 24 25 26 28 32 32 31 32 35 39 37 32 27 24 22 20 17 15 16 19 21 25 27 27 26 24 23 23 24 25 30 43 54 67 78 85 88 87 85 83 82 83 82 81 79 79
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 4 4 3 1 0 0 0 0 0 0 0 1 5 11 17 23 37 71 109 144 181 225 269 309 353 418 432 440 447 456 465 468 468 488 565 741 843 865 839 759 602 437 354 287 209 117 61 34 23 18 12 5 1 0 0 1 5 8 10 13 13 11 9 7 6 5 5 7 8 8 8 9 9 8 5 3 1 2 2 3 2 1 1 1 1 2 2 2 2 2 2 4 6 10 16 27 43 63 76 83 83 74 64 55 49 44 42 45 45 42 38 35
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