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 7 7 8 10 10 10 9 9 9 9 9 9 8 8 7 7 7 8 8 8 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 10 11 10 10 11 13 14 13 11 10 9 9 9 8 7 8 8 9 11 12 13 14 14 14 14 15 17 18 19 19 18 17 16 15 15 15 15 14 13 13 13 12 10 9 10 11 12 13 13 13 13 13 12 10 9 9 8 8 8 7 8 8 9 9 9 9 10 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 10 10 11 12 13 13 12 11 10 8 6 5 5 6 9 11 12 12 12 11 11 11 11 12 13 13 14 14 13 13 12 11 11 9 8 6 6 6 6 8 8 9 8 9 9 9 9 8 8 8 9 11 15 20 nan
nan 7 7 9 11 11 11 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 10 9 7 8 11 13 14 14 13 12 11 9 8 7 7 7 9 10 12 12 13 13 13 13 14 15 17 18 18 18 17 15 14 14 14 14 14 13 13 12 12 10 10 11 12 13 13 13 13 13 13 12 10 9 9 8 8 7 7 8 8 9 9 9 9 9 10 11 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 11 12 13 13 13 12 10 8 6 5 5 7 9 10 11 11 11 11 11 12 12 12 12 13 14 14 14 13 11 10 9 8 6 5 5 6 7 8 9 9 9 8 8 8 8 7 8 8 10 12 17 nan
nan 7 7 9 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 8 6 6 8 10 12 14 15 15 14 11 9 8 7 7 8 10 11 12 13 13 13 13 13 14 15 17 18 18 17 16 14 14 13 13 13 13 13 13 12 12 12 13 14 14 13 13 13 13 13 12 11 10 9 9 8 8 8 8 8 9 9 9 9 10 11 12 12 11 9 9 8 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 11 9 7 6 5 6 7 9 10 10 10 10 11 12 12 11 11 11 12 13 13 12 11 10 9 8 6 7 7 7 8 7 8 9 9 9 8 8 7 7 7 8 9 11 14 nan
nan 8 8 9 10 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 7 8 9 8 7 6 7 8 10 11 13 15 15 13 11 10 8 7 7 9 10 11 12 12 13 12 12 13 14 15 17 18 18 17 16 14 13 13 13 12 12 13 13 13 14 14 15 14 13 12 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 11 12 13 12 11 10 9 9 8 8 7 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 6 5 5 6 7 9 10 10 9 9 11 12 11 10 10 11 12 12 11 10 9 9 8 8 9 10 10 9 8 8 9 10 9 8 8 7 7 7 7 8 10 12 nan
nan 9 9 9 9 10 11 10 9 9 10 11 11 10 9 9 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 9 8 7 7 7 8 9 10 11 13 13 13 12 11 9 8 7 8 9 10 11 12 12 12 12 12 12 13 15 17 18 18 17 16 15 13 12 12 11 11 12 12 13 13 13 12 11 11 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 11 13 13 13 12 11 10 10 9 8 7 7 8 8 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 5 6 7 9 11 10 10 10 10 11 11 10 10 11 12 13 12 10 9 8 9 10 11 12 12 11 9 9 10 11 11 10 9 8 8 7 7 7 9 10 nan
nan 9 9 9 9 11 11 9 8 9 9 10 10 10 10 9 9 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 11 11 11 10 9 8 8 9 9 10 11 11 12 12 12 12 12 13 14 16 16 17 17 16 15 13 12 11 10 11 11 12 11 11 10 9 9 10 10 10 9 8 8 8 9 10 10 10 10 10 10 10 11 11 12 13 13 13 14 13 12 11 10 9 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 8 9 8 7 6 6 8 10 12 12 11 11 11 11 11 10 9 10 12 13 13 11 9 8 10 12 14 14 13 11 10 10 11 11 12 11 10 9 9 9 8 8 8 9 nan
nan 9 9 9 10 11 11 9 9 8 8 9 10 10 11 10 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 8 8 8 9 9 10 10 11 11 11 11 10 9 9 9 8 8 8 9 9 10 11 11 11 11 11 12 12 13 14 14 15 16 15 15 14 13 12 11 11 12 12 11 9 8 7 7 8 9 8 7 7 8 10 11 12 13 13 13 13 13 13 14 14 14 15 15 15 15 14 13 12 11 10 9 8 9 9 10 9 7 6 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 9 8 8 8 8 9 10 12 13 13 12 12 12 12 10 9 9 11 12 13 12 10 9 10 12 14 15 13 11 10 10 10 11 12 11 10 10 10 10 10 10 10 10 nan
nan 9 10 10 10 11 10 9 9 8 8 8 9 10 11 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 10 11 11 10 9 8 8 9 9 8 8 8 9 10 10 11 11 11 11 11 12 12 13 14 14 14 14 15 14 14 13 12 12 12 11 9 8 7 7 8 8 8 8 9 11 13 15 16 16 16 17 16 16 17 17 17 17 18 17 17 16 15 13 12 11 10 9 8 8 10 11 10 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 7 8 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 14 13 13 11 10 9 10 11 12 12 11 10 9 10 13 13 13 12 10 10 9 10 10 9 9 9 10 11 12 12 12 11 nan
nan 9 10 10 10 11 10 10 9 9 9 8 8 9 10 10 10 9 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 9 9 10 9 9 8 9 11 12 11 10 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 12 12 13 13 14 14 14 15 15 14 14 13 12 11 10 9 9 9 9 10 10 12 13 15 16 16 17 17 18 18 18 18 18 19 20 20 20 19 18 17 16 14 13 12 11 9 8 8 10 11 10 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 8 9 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 14 13 12 10 10 10 11 11 12 11 10 8 8 9 11 11 11 11 10 10 10 10 9 9 9 9 10 11 13 12 11 nan
nan 9 10 10 10 11 10 10 9 9 9 9 8 9 9 10 10 9 9 9 10 10 10 9 10 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 9 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 12 13 13 14 14 14 15 15 15 15 15 14 13 12 12 12 12 12 13 13 14 15 15 15 15 15 15 15 16 16 16 16 16 18 19 19 19 19 18 18 17 16 15 14 11 9 9 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 10 9 9 10 11 11 12 12 12 12 11 11 11 10 10 11 11 12 12 13 13 12 10 10 10 10 10 10 10 9 8 7 7 8 9 10 10 10 11 11 11 10 10 9 9 9 10 12 12 11 nan
nan 9 10 10 11 10 10 9 9 9 9 9 8 8 9 9 10 9 9 9 10 10 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 8 8 9 9 9 9 8 8 9 9 9 9 9 10 10 10 11 11 11 12 12 13 14 14 15 16 16 16 17 17 16 15 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 13 14 16 17 19 21 21 21 21 21 18 14 12 11 11 10 8 8 9 10 10 10 9 8 8 8 9 9 10 10 11 11 10 10 9 10 11 12 12 12 12 11 10 9 9 9 9 10 10 11 11 12 12 11 10 10 9 9 9 10 10 9 8 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 10 11 11 11 nan
nan 10 10 10 11 10 10 9 9 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 8 8 8 9 9 8 8 8 9 9 10 9 9 9 9 9 10 10 10 11 11 12 13 14 14 15 16 16 16 16 16 16 15 14 13 13 12 12 12 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 11 12 14 18 22 25 26 27 26 21 17 14 13 12 11 9 8 8 9 10 10 10 9 9 9 9 10 10 11 11 11 11 10 9 9 10 11 11 12 11 10 9 8 7 7 7 9 10 11 11 11 11 11 11 10 9 8 9 11 11 11 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 8 9 10 10 nan
nan 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 8 9 10 10 10 9 9 9 9 9 9 10 11 11 12 13 14 15 15 16 15 15 15 14 13 13 12 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 12 15 20 24 28 30 28 22 18 16 14 13 12 11 9 8 8 9 10 10 10 10 10 9 10 11 11 11 11 11 10 9 9 9 9 10 10 10 9 8 7 6 6 6 7 8 10 11 11 11 11 11 11 10 10 10 12 14 14 12 11 10 10 10 10 10 9 9 8 7 7 7 8 8 8 8 7 8 8 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 6 5 6 8 9 10 10 10 9 8 8 8 8 9 10 10 11 12 13 14 14 15 14 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 12 15 19 23 27 24 20 17 15 15 15 14 13 12 10 9 9 10 11 11 11 11 10 10 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 6 5 5 6 8 10 10 11 11 11 11 11 11 12 13 16 16 15 13 13 12 12 12 11 10 10 8 7 6 7 8 8 8 8 7 7 7 nan
nan 9 9 10 10 10 10 9 9 9 8 8 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 11 12 11 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 8 7 7 8 9 10 9 9 9 10 11 9 7 6 6 7 8 9 10 10 10 9 8 8 8 8 9 9 10 10 11 12 13 13 13 13 13 13 13 12 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 17 20 19 18 16 15 16 16 16 15 15 13 11 11 11 12 12 12 11 11 11 12 12 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 5 5 5 7 9 9 10 10 10 10 10 11 12 14 16 16 15 14 13 13 13 13 12 12 11 9 8 7 6 7 8 8 8 8 8 8 nan
nan 9 9 9 9 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 10 12 12 11 11 11 10 10 10 10 10 9 9 9 8 8 7 7 7 8 7 7 8 10 10 10 8 9 11 11 10 8 7 6 6 7 8 9 10 10 9 9 9 8 9 9 9 10 10 10 10 11 11 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 14 15 16 18 19 19 20 20 20 19 18 18 17 16 14 14 13 14 14 14 13 12 12 13 12 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 6 5 4 6 7 9 9 9 8 8 8 9 10 12 14 15 15 13 11 11 11 12 13 13 12 11 9 8 7 7 8 8 8 8 9 10 nan
nan 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 7 8 8 8 8 8 10 11 10 9 9 11 12 11 9 8 7 7 7 8 8 8 8 9 9 9 9 9 10 11 12 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 13 15 16 17 19 20 21 21 22 24 24 24 23 23 22 20 18 16 15 15 15 15 15 14 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 7 8 9 8 7 7 6 7 8 10 12 13 14 12 10 9 9 10 12 14 14 13 11 10 9 9 9 9 8 8 9 10 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 10 11 12 11 11 11 11 12 12 11 11 9 9 8 8 8 8 8 8 8 8 8 10 10 10 9 9 11 12 11 10 8 8 8 9 9 8 8 7 8 9 8 7 7 9 13 17 18 16 14 12 10 10 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 10 12 14 16 16 16 16 17 18 20 21 23 24 26 27 27 26 24 20 17 15 15 15 16 15 14 13 13 12 12 11 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 7 7 7 8 8 8 7 6 6 6 7 9 10 11 12 11 11 10 9 9 12 14 14 14 12 11 11 11 11 10 9 9 9 9 nan
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nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 9 9 10 11 11 10 9 8 9 10 12 12 11 10 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 11 11 10 8 8 8 9 9 8 8 8 6 2 -0 1 5 12 18 21 23 22 20 15 11 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 8 8 7 6 3 2 2 3 5 6 6 6 7 9 10 11 12 13 15 19 22 24 26 27 27 26 25 24 23 22 20 18 18 18 18 17 16 15 15 15 15 16 16 16 16 15 15 15 15 16 15 14 13 12 11 10 9 9 9 9 9 9 8 8 9 9 10 11 11 10 10 11 11 11 10 9 8 8 9 10 10 9 8 7 8 nan
nan 7 7 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 8 9 11 12 11 10 10 9 9 9 9 9 9 8 7 7 7 9 9 9 8 8 10 11 10 9 8 8 8 8 8 7 6 3 -2 -3 1 6 11 14 17 20 22 22 18 14 11 9 9 9 10 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 5 2 -1 -2 -1 1 2 2 2 3 4 6 9 10 11 12 13 15 17 19 21 23 25 26 27 28 27 25 23 21 19 17 16 16 15 14 13 14 15 16 16 17 17 17 17 16 16 16 15 15 14 13 12 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 6 7 8 9 8 7 6 6 nan
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nan 6 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 10 10 10 10 9 9 9 8 6 6 5 6 8 9 10 11 10 9 8 8 9 8 7 6 5 3 -3 -5 -2 4 8 11 13 14 16 18 20 21 19 16 11 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 5 5 5 5 5 5 3 1 -0 0 2 4 6 8 9 10 10 10 10 11 13 15 17 20 24 27 28 27 25 23 20 17 15 14 12 11 12 12 12 12 11 11 11 11 12 13 15 15 14 13 12 12 12 12 11 11 10 10 10 11 10 9 9 9 9 9 9 10 9 9 8 7 7 7 7 8 7 6 5 nan
nan 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 10 10 9 8 8 7 7 6 5 5 6 9 11 12 10 8 8 9 9 8 6 4 0 -5 -5 -0 5 9 11 13 14 16 17 20 21 20 17 13 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 7 7 7 8 9 10 7 3 0 -1 -1 1 4 6 8 8 8 8 8 9 10 11 13 16 20 23 25 26 27 27 24 22 19 15 12 11 11 11 11 10 10 10 10 11 12 13 13 12 11 11 12 12 11 11 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 9 8 8 7 7 7 7 7 6 nan
nan 7 7 8 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 8 7 8 9 10 10 10 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 6 4 5 6 9 11 11 9 8 9 9 8 6 3 -3 -6 -4 1 5 9 11 12 14 16 18 20 21 20 18 14 11 9 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 9 9 10 10 10 10 9 8 8 7 6 5 7 12 13 12 9 5 1 -2 -2 -1 1 4 6 6 6 7 7 7 7 8 9 11 14 17 20 23 25 27 27 25 21 17 14 13 12 12 12 12 11 11 11 11 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 7 6 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 9 9 10 10 10 11 11 11 11 10 9 8 8 8 9 9 9 8 6 5 5 7 9 10 9 9 9 10 9 6 1 -4 -6 -3 2 6 9 10 12 13 15 18 20 21 21 19 15 11 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 8 7 5 3 5 10 13 14 12 9 5 2 -1 -3 -3 -2 1 2 3 4 4 4 4 4 4 4 6 9 12 15 18 22 25 27 26 24 21 18 15 14 14 14 14 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 12 13 13 13 12 12 11 10 10 10 10 10 9 9 9 8 8 8 7 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 10 11 12 11 10 10 9 9 9 9 9 9 10 9 8 6 5 6 9 10 10 9 9 10 9 6 1 -4 -6 -3 2 6 9 10 11 13 15 18 20 21 21 20 17 12 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 8 7 6 5 6 9 11 12 12 10 8 6 4 1 -2 -3 -3 -2 -0 0 1 1 2 2 1 -0 0 3 6 8 10 13 17 21 24 25 25 23 20 17 16 15 14 12 11 11 11 11 11 11 11 10 8 7 7 8 8 9 10 12 13 14 15 15 14 13 12 12 11 10 9 9 9 9 9 8 8 7 6 nan
nan 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 9 9 9 8 8 8 8 8 9 9 9 10 9 8 8 9 10 11 10 10 9 9 9 9 9 9 9 9 9 8 7 6 7 8 9 9 9 8 9 9 7 2 -3 -5 -3 2 6 9 10 11 13 16 18 20 21 22 22 18 14 10 9 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 9 10 9 9 9 8 8 8 9 10 11 11 12 11 10 9 7 6 4 2 0 -1 -0 0 1 1 2 2 1 -1 -2 -1 1 3 5 6 8 12 16 19 22 23 22 19 16 14 12 11 10 10 10 11 12 12 12 10 8 6 7 8 9 9 10 12 13 15 15 16 15 15 15 15 14 13 12 11 9 9 8 9 9 8 7 nan
nan 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 10 9 9 8 8 9 10 9 9 9 9 10 9 9 9 9 9 9 9 8 7 7 8 9 9 8 7 8 8 7 3 -2 -4 -2 3 6 9 10 11 13 16 19 21 22 23 23 21 16 12 9 8 7 7 7 8 9 9 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 13 13 12 11 9 8 7 7 6 5 4 4 4 5 5 6 5 3 2 0 0 1 2 3 3 4 7 11 14 16 17 16 15 13 11 10 10 9 10 11 12 12 12 10 8 7 8 9 10 10 10 11 12 13 14 15 15 14 15 16 17 16 15 14 13 12 11 10 11 12 12 nan
nan 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 8 9 9 10 10 9 9 9 9 8 8 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 7 6 3 -2 -3 -1 3 7 9 10 11 13 15 18 21 23 25 25 22 18 13 9 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 11 14 16 15 13 10 8 7 7 8 8 8 7 8 8 8 8 8 7 7 5 4 4 4 5 5 4 4 6 8 11 12 12 12 11 10 10 9 9 9 10 10 11 11 10 8 8 9 10 10 10 11 11 11 12 12 11 11 10 11 12 14 14 15 16 16 16 15 15 16 16 16 nan
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nan 9 8 8 9 11 13 14 15 15 14 13 13 13 13 12 11 11 12 12 13 12 11 11 11 11 10 10 11 11 11 11 11 11 12 12 13 13 12 11 11 12 12 12 12 12 12 14 15 15 14 13 12 12 12 13 15 17 19 20 20 17 15 15 16 18 19 20 20 20 20 20 20 20 19 18 17 15 12 9 7 8 9 10 11 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 9 9 9 10 11 12 11 9 8 nan
nan 9 8 8 8 10 13 15 17 16 14 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 10 11 12 13 13 12 12 12 12 12 12 12 11 12 13 14 15 14 13 11 10 9 10 11 15 18 20 21 18 15 13 13 13 13 14 14 14 14 15 16 17 18 17 16 14 12 11 10 10 10 11 11 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 9 9 9 9 10 10 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 11 12 13 13 14 13 13 13 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 10 10 11 10 10 nan
nan 9 7 7 7 9 13 15 17 16 15 13 12 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 13 12 12 13 13 13 12 12 11 12 12 13 13 13 12 10 9 8 8 9 11 15 18 21 20 17 15 13 10 9 9 9 10 10 11 13 14 15 14 14 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 10 10 11 11 11 11 11 11 11 10 10 10 10 11 12 13 13 13 13 13 13 13 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 9 9 9 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 11 11 nan
nan 8 7 6 7 10 14 16 16 15 14 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 11 10 10 9 8 8 9 10 12 16 19 21 20 19 16 12 10 9 9 11 12 12 13 13 14 14 14 13 12 12 11 11 12 11 12 12 12 12 13 13 13 13 14 14 14 14 14 13 13 12 11 11 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 8 8 7 7 9 10 11 12 nan
nan 9 7 6 7 11 16 17 17 15 12 12 11 12 12 11 10 9 10 10 11 11 11 11 11 11 12 12 12 12 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 9 9 8 8 9 9 10 12 14 17 19 20 20 18 15 15 15 16 16 17 17 17 17 16 15 15 14 13 12 12 12 12 12 12 12 12 12 12 13 13 14 14 15 15 15 15 15 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 10 10 11 11 11 11 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 9 9 8 8 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 9 10 10 11 nan
nan 9 8 7 8 12 15 17 17 15 14 13 12 12 11 11 10 10 10 10 11 11 12 12 12 12 12 13 14 13 12 11 11 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 8 8 8 8 9 9 11 13 15 18 20 20 19 17 17 17 19 21 21 21 22 21 20 19 17 16 15 14 13 13 13 12 12 12 12 12 12 12 12 12 13 13 14 14 15 15 15 15 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 11 12 11 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 10 11 11 nan
nan 10 9 8 9 10 12 14 16 17 16 15 13 12 11 11 10 10 10 10 11 11 12 12 12 12 12 13 14 14 13 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 8 8 8 7 7 7 9 10 14 18 21 21 19 16 14 13 14 17 18 19 21 22 22 21 20 18 17 16 15 15 14 14 13 12 12 12 12 12 12 12 12 13 13 14 15 15 15 15 15 15 15 14 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 12 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 11 10 10 10 9 9 9 8 8 8 8 9 10 10 11 11 11 12 nan
nan 10 10 9 8 8 8 10 14 16 16 14 13 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 6 4 3 4 6 13 21 24 24 20 16 12 10 10 10 12 13 15 18 19 20 20 20 19 19 18 17 17 16 15 14 14 14 14 14 14 14 14 15 15 16 16 16 16 16 16 16 16 16 16 15 14 14 14 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 12 11 11 11 10 10 9 9 9 9 9 9 10 11 11 12 12 13 13 nan
nan 11 11 9 7 6 7 8 11 13 13 13 12 11 11 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 5 3 1 1 3 11 19 23 24 22 17 13 10 10 9 9 9 10 12 13 15 16 17 18 19 19 19 19 18 17 17 17 16 16 16 16 16 17 18 18 18 18 18 18 18 18 18 18 17 17 16 16 15 15 15 15 15 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 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 12 12 12 12 12 11 11 11 12 12 12 12 11 11 10 10 10 10 9 10 10 10 11 12 13 14 14 14 nan
nan 12 11 10 9 8 9 10 11 11 12 11 11 11 10 10 10 10 11 11 12 11 11 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 8 6 2 -0 -1 2 8 14 19 22 21 17 14 12 10 10 10 10 10 10 10 11 11 12 13 14 15 16 17 16 16 16 16 16 16 15 15 16 16 17 18 19 19 19 19 20 21 21 20 20 19 19 18 18 17 17 17 17 17 17 16 15 15 15 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 12 12 13 14 15 15 15 15 nan
nan 12 12 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 11 11 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 10 10 9 8 4 1 -0 2 7 11 16 19 19 16 14 11 10 11 11 11 11 10 10 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 13 14 15 16 17 18 19 20 21 21 22 21 21 21 21 20 20 20 20 20 20 19 18 17 17 16 15 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 13 13 13 13 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 12 13 13 14 14 15 15 15 15 15 14 nan
nan 11 12 12 11 11 10 10 11 11 10 10 10 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 9 9 9 9 9 9 10 10 11 11 11 11 11 11 9 6 3 2 3 6 10 14 16 16 14 12 11 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 17 18 20 20 21 22 22 22 23 23 23 23 22 22 21 20 19 18 18 17 16 16 15 15 15 15 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 12 12 13 14 14 15 15 15 15 14 14 13 nan
nan 11 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 11 10 8 5 5 5 7 10 12 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 10 11 11 10 10 10 9 9 9 9 9 10 10 11 12 13 14 16 18 19 20 21 21 22 23 24 23 23 23 23 22 21 21 20 19 19 19 19 18 18 17 17 16 16 15 14 14 15 14 14 14 13 13 13 13 12 12 12 12 12 12 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 nan
nan 11 11 11 11 11 11 10 10 10 9 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 10 10 10 9 9 9 10 10 11 11 11 11 9 8 8 8 9 10 11 11 11 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 12 12 11 11 11 11 10 10 9 9 9 9 10 10 11 12 14 15 15 16 17 19 20 21 22 23 23 24 24 23 23 23 23 23 23 23 22 22 21 20 19 19 18 17 17 17 16 15 15 14 14 14 14 14 13 13 12 12 12 12 13 13 14 14 14 13 13 12 12 12 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 nan
nan 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 11 11 11 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 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 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 10 11 11 11 12 13 15 17 19 20 21 22 24 24 24 25 25 25 26 25 24 23 22 22 22 21 21 20 20 19 18 18 17 17 16 16 16 16 14 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 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 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 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 8 8 8 9 10 12 13 15 16 17 19 21 22 22 23 23 23 23 23 23 22 21 21 20 21 21 21 20 20 19 19 20 20 20 19 18 17 15 14 13 13 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 9 nan
nan 11 11 11 11 11 11 12 11 11 10 10 10 11 10 10 10 10 10 10 10 11 11 12 12 12 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 10 10 10 10 9 10 10 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 9 10 10 11 12 13 14 15 16 17 17 17 17 17 17 17 17 16 16 16 16 17 18 18 18 19 20 21 21 21 20 19 18 17 16 14 13 13 12 12 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 8 8 7 7 7 7 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 11 12 13 14 15 16 18 18 19 19 20 21 21 20 19 17 16 15 13 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 11 11 12 12 12 11 10 10 9 8 8 8 8 7 nan
nan 11 10 10 10 10 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 10 11 12 13 14 14 15 17 19 21 23 23 22 20 18 17 15 14 13 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 11 11 10 9 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 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 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 10 11 11 11 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 12 13 14 17 19 22 23 23 22 21 21 19 17 15 13 12 12 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 11 12 12 12 12 12 11 11 11 10 10 10 10 nan
nan 11 10 10 10 10 10 10 10 10 10 10 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 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 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 10 9 10 10 11 11 11 9 9 9 9 9 8 8 7 7 8 8 7 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 11 12 13 15 18 20 21 23 24 23 21 19 17 16 14 13 12 12 12 12 13 13 13 12 12 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 11 11 11 nan
nan 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 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 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 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 11 10 10 9 9 9 9 9 9 8 9 9 8 8 8 8 7 7 6 6 7 8 9 9 9 9 9 9 10 10 10 11 13 16 19 22 24 23 23 22 20 18 16 15 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 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 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 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 6 6 5 6 6 7 8 9 9 9 9 9 10 10 10 10 12 16 20 22 23 23 23 21 20 18 17 16 15 14 14 13 13 13 13 14 13 12 12 12 11 12 12 12 12 12 13 13 12 12 11 12 12 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 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 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 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 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 11 11 10 10 9 8 8 8 8 8 8 8 7 6 5 4 4 4 4 6 8 9 10 10 9 10 10 10 10 12 14 18 20 21 22 21 20 20 19 19 17 16 15 14 13 13 13 14 13 13 12 11 12 12 11 12 12 12 13 13 13 12 12 11 11 11 11 11 nan
nan 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 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 9 9 9 10 10 10 10 10 10 10 10 10 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 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 11 12 11 9 8 7 7 6 6 6 6 6 6 6 5 4 2 2 2 5 8 10 11 11 9 8 9 10 11 12 14 15 16 17 18 18 19 20 20 19 18 17 16 15 14 14 13 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 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 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 8 6 5 4 4 4 5 5 5 5 4 3 2 2 3 5 8 11 11 10 8 7 9 11 13 14 14 13 13 14 15 16 18 19 19 18 18 17 17 17 16 16 15 14 14 13 13 12 12 12 13 13 13 12 12 12 12 11 11 11 11 10 10 11 nan
nan 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 11 11 11 11 12 13 13 12 10 8 6 5 4 4 4 5 5 5 4 3 2 2 3 4 6 8 10 10 8 7 8 11 14 16 15 14 12 12 13 14 15 16 17 17 17 17 19 19 20 19 18 16 15 15 14 13 12 12 12 13 13 13 12 12 11 11 11 12 12 11 10 10 10 nan
nan 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 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 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 11 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 11 11 12 13 13 12 11 10 8 6 6 5 5 6 5 5 4 3 2 2 3 5 6 8 10 10 8 7 10 13 15 17 15 14 13 12 13 13 13 14 14 15 16 19 21 22 21 19 18 17 16 16 15 14 13 13 13 13 14 14 13 11 10 10 11 12 13 13 12 12 11 nan
nan 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 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 11 11 11 11 12 13 13 13 13 12 10 9 8 8 8 7 6 5 4 3 2 3 4 5 6 8 9 9 8 8 10 13 15 16 16 15 15 14 14 13 12 12 12 14 17 21 22 22 21 19 18 17 17 16 16 14 14 13 13 14 15 15 14 11 9 9 10 12 13 14 14 14 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 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 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 9 10 11 12 12 12 12 12 12 13 14 14 14 13 12 11 10 9 9 8 7 6 4 4 4 4 5 5 5 6 6 6 7 8 10 12 15 18 20 20 19 17 15 12 11 11 12 14 17 19 20 20 20 19 18 17 16 15 15 14 14 13 14 15 16 16 14 12 9 8 9 11 13 14 15 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 2 3 5 5 5 15 21 24 25 24 24 25 31 34 35 35 32 27 25 29 34 34 32 29 27 25 22 18 12 7 4 2 1 0 0 0 0 0 1 1 1 1 1 2 5 13 21 28 33 35 36 42 47 43 33 23 16 12 9 7 4 3 2 1 1 3 10 27 59 43 22 9 7 9 9 11 12 12 13 16 19 23 31 67 152 257 345 384 409 433 423 405 405 421 426 422 527 537 590 652 660 593 479 518 607 710 813 922 993 1059 1146 1233 1286 1305 1305 1350 1347 1327 1360 1293 1166 1020 928 926 929 924 886 838 793 750 728 689 634 577 529 494 481 487 517 570 632 663 679 677 670 658 636 717 844 956 1040 1092 1110 1173 1288 1387 1451 1481 1488 1490 1524 1581 1645 1696 1703 1732 1714 1629 1505 1392 1353 1344 1339 1321 1285 1229 1139 993 816 648 499 341 209 122 81 66
0 1 3 5 7 10 17 22 25 26 26 25 24 24 23 22 20 17 15 18 25 29 28 25 23 20 16 11 10 10 5 2 1 0 0 0 0 0 0 1 2 2 2 1 1 1 3 10 18 25 32 36 45 46 40 29 20 14 11 8 6 4 3 3 2 2 3 9 27 66 71 48 22 16 16 16 16 17 17 20 25 28 28 58 131 229 329 413 449 459 467 442 422 437 464 464 412 439 468 501 538 560 605 492 532 656 804 927 1078 1136 1192 1266 1329 1320 1223 1135 1118 1141 1163 1182 1145 1052 934 846 827 835 852 824 784 756 725 695 658 603 542 502 476 470 488 528 580 637 633 644 673 707 717 637 645 703 791 892 977 1003 1077 1194 1324 1431 1485 1495 1491 1495 1518 1563 1610 1638 1668 1680 1651 1567 1474 1431 1422 1422 1416 1362 1322 1241 1099 921 764 619 450 291 173 104 82
0 1 4 6 6 8 15 21 24 25 24 22 25 25 21 16 13 11 11 13 16 19 20 18 16 13 10 7 6 5 3 1 0 0 0 0 0 0 0 1 2 1 1 2 1 1 0 3 9 17 27 35 40 39 33 25 18 13 9 7 6 5 4 3 3 2 2 5 18 58 94 91 59 35 31 28 26 25 27 33 35 39 79 154 238 288 388 462 498 507 501 477 464 460 467 485 481 490 512 615 721 693 696 599 608 744 939 1040 1157 1236 1328 1420 1460 1381 1250 1150 1079 1027 983 965 926 864 800 755 735 725 745 735 700 676 648 619 586 541 487 448 431 437 477 534 581 618 623 638 674 726 770 701 643 620 648 739 833 895 986 1117 1274 1411 1475 1507 1508 1491 1483 1521 1566 1607 1639 1652 1634 1570 1505 1462 1452 1477 1530 1532 1468 1342 1166 1006 898 744 554 371 228 143 104
0 0 3 5 6 10 17 22 25 25 24 23 21 20 18 15 13 13 12 13 15 15 14 10 6 4 2 2 4 2 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 2 7 16 23 29 31 29 23 14 10 8 6 6 5 4 3 2 2 2 3 7 33 82 122 131 101 79 65 56 50 44 46 43 66 141 253 342 382 479 547 583 596 580 540 538 533 526 545 575 581 543 669 938 973 836 712 694 811 1013 1097 1186 1292 1408 1493 1475 1416 1287 1162 1057 972 907 865 816 759 703 671 670 645 629 616 598 588 560 537 509 473 437 417 413 422 454 512 559 597 624 649 682 725 777 767 710 638 592 636 706 790 906 1056 1232 1377 1485 1542 1539 1489 1466 1497 1542 1585 1614 1622 1594 1550 1501 1466 1466 1515 1566 1586 1551 1453 1280 1157 1046 895 702 490 330 215 145
0 0 2 3 5 12 19 20 21 21 20 18 18 20 20 17 14 14 11 11 12 12 9 4 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 11 18 23 24 20 10 7 6 5 5 5 4 3 2 2 2 2 2 9 38 96 169 197 187 163 140 126 115 84 125 231 376 495 459 512 578 636 676 698 684 652 655 659 643 623 617 635 584 596 783 845 817 759 748 828 971 1049 1138 1267 1403 1478 1449 1370 1247 1115 1001 920 864 817 762 704 661 624 625 617 603 586 565 547 527 511 495 476 459 446 436 434 446 480 524 565 603 636 665 716 780 816 802 739 655 630 650 719 839 1010 1183 1356 1494 1573 1572 1490 1450 1455 1493 1541 1575 1581 1572 1552 1526 1503 1515 1560 1594 1613 1620 1594 1454 1334 1216 1077 894 622 436 297 200
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