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 8 8 7 7 8 8 9 9 10 10 11 13 14 15 15 14 14 13 12 11 11 13 15 19 20 20 19 18 17 16 15 14 13 11 10 9 8 8 9 9 8 7 6 7 7 8 7 7 8 8 8 7 7 7 7 8 8 8 7 7 8 8 8 7 7 8 8 9 8 7 6 5 5 5 6 7 8 9 10 10 10 10 11 11 11 11 9 8 7 7 7 8 8 9 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 9 9 9 9 10 11 11 10 9 9 9 9 10 10 11 12 13 13 11 10 8 8 7 7 6 6 6 7 8 9 10 12 11 10 9 8 8 8 8 8 9 9 9 10 9 8 6 5 5 5 5 6 6 7 8 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 7 6 6 nan
nan 7 7 7 7 7 8 9 9 9 10 10 11 12 12 11 11 10 10 10 9 9 10 12 14 15 16 16 17 18 19 19 18 17 15 12 10 9 9 10 10 8 7 6 6 6 7 8 8 8 9 9 9 9 9 10 10 9 9 8 8 8 8 8 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 8 9 10 10 11 12 11 10 9 8 8 9 9 9 9 8 7 8 8 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 12 11 10 10 10 10 10 11 12 13 14 15 13 11 9 7 7 7 7 7 7 7 7 8 10 12 13 13 11 10 9 8 8 8 8 9 10 10 10 9 7 5 4 5 5 5 5 5 6 7 9 9 9 8 7 7 7 8 8 8 8 7 6 5 6 8 8 8 8 7 nan
nan 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 9 10 10 12 14 16 18 21 22 22 19 15 12 11 11 11 10 8 6 5 5 6 7 8 8 8 9 9 10 11 12 11 11 11 10 10 9 9 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 9 9 9 9 10 10 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 14 13 10 8 7 6 7 7 7 7 7 7 8 10 12 13 13 12 11 9 8 7 7 8 9 10 10 9 9 6 4 4 4 5 5 5 4 5 6 8 9 9 8 7 7 7 7 8 8 8 7 5 5 5 7 8 8 8 8 nan
nan 7 7 7 8 9 10 10 10 9 9 9 8 7 6 6 6 6 7 7 7 6 5 5 5 6 7 8 10 12 15 18 21 24 22 18 15 13 13 12 10 7 5 5 5 6 7 7 7 8 9 9 10 11 12 12 12 12 12 12 11 10 10 9 8 7 8 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 8 8 9 9 9 9 9 9 8 8 9 10 10 10 10 9 8 8 8 8 9 10 10 10 11 11 12 13 13 13 10 8 7 6 6 6 6 6 7 7 9 10 11 13 13 13 11 9 8 7 7 8 9 10 9 9 8 7 6 5 4 4 4 5 4 4 5 6 7 8 8 7 7 7 7 7 8 8 7 6 5 5 6 7 8 9 9 nan
nan 7 7 7 8 9 10 10 10 10 9 9 8 7 5 4 4 5 6 6 6 5 4 4 4 4 4 5 6 8 10 13 17 20 21 19 17 16 15 14 12 8 6 6 6 7 7 7 8 9 10 10 10 10 11 13 14 13 12 12 12 12 12 10 9 9 9 10 11 11 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 8 9 10 10 9 8 7 7 7 7 8 9 9 9 10 10 11 12 12 12 11 9 8 6 6 6 6 6 6 7 8 9 10 12 12 12 10 9 8 8 9 9 10 10 9 8 8 8 8 7 5 3 3 4 5 5 6 6 7 7 8 7 7 7 7 7 7 7 7 7 6 5 6 7 8 9 9 nan
nan 7 7 8 8 9 10 11 11 11 10 10 9 7 6 5 4 4 5 5 5 5 4 4 3 3 3 3 4 5 6 8 10 14 17 19 19 19 18 17 14 10 8 8 7 7 7 8 8 10 10 10 9 9 10 12 13 12 12 12 12 13 13 12 11 11 11 12 12 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 10 9 9 9 10 11 11 10 10 10 11 11 11 11 11 10 9 8 8 8 8 9 10 10 9 8 7 7 7 7 7 8 8 8 9 10 10 11 11 12 11 10 8 7 6 6 6 6 6 6 7 8 10 11 12 11 11 10 10 9 10 10 10 9 8 7 7 8 10 9 6 2 2 4 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 8 9 10 9 nan
nan 7 8 8 8 9 10 10 11 11 11 11 11 9 8 6 5 4 4 5 5 4 4 3 3 3 2 2 3 3 4 4 6 9 14 18 21 22 22 20 17 13 11 10 10 10 10 10 9 8 7 7 7 6 7 8 9 9 10 11 12 12 13 13 12 12 12 12 11 9 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 10 10 10 9 9 10 11 11 11 11 10 11 11 12 12 11 11 10 10 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 8 9 9 10 11 11 11 10 9 8 7 7 7 6 6 6 7 8 9 10 11 11 11 11 11 11 11 10 9 8 7 7 7 8 9 9 6 3 2 4 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 8 8 8 8 9 10 9 9 nan
nan 7 7 8 8 9 9 10 11 11 12 12 12 12 10 9 7 6 5 5 5 5 4 3 3 3 3 2 2 3 3 3 4 6 10 16 21 24 25 24 20 16 13 12 13 15 16 15 10 5 2 1 -0 -1 -0 2 4 5 7 8 10 10 10 10 11 11 10 9 8 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 8 9 10 11 10 10 10 10 10 10 11 11 11 10 9 9 10 10 10 10 10 11 11 10 9 9 9 10 10 10 10 9 9 8 8 7 7 7 7 8 8 9 9 10 11 11 11 10 9 9 8 8 7 7 7 7 8 9 9 9 10 11 12 12 12 11 10 8 7 7 8 9 10 9 8 6 4 5 7 8 9 9 9 8 8 8 7 7 8 9 10 10 9 8 8 8 9 9 9 9 9 8 nan
nan 7 7 8 9 9 10 10 11 11 12 12 13 14 14 12 11 9 7 6 6 6 5 4 4 3 2 2 2 2 2 3 3 4 7 12 18 25 28 27 21 16 13 14 16 20 23 22 14 6 1 -3 -5 -6 -4 -1 2 3 4 5 6 7 7 7 7 8 8 7 6 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 10 10 11 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 11 11 11 10 9 8 8 8 9 10 10 10 9 9 8 8 7 8 9 9 9 9 9 10 11 11 11 10 10 10 9 9 8 8 6 7 8 8 8 8 9 10 11 12 12 12 11 10 9 9 10 11 10 9 7 6 6 7 9 10 10 9 8 8 8 8 7 7 8 10 11 11 10 10 9 9 10 10 9 9 9 8 nan
nan 7 8 8 9 10 11 11 11 11 11 11 11 13 14 15 13 12 10 9 8 7 7 6 5 3 3 2 2 2 2 3 3 3 4 8 16 25 30 28 22 15 13 15 17 20 24 25 22 13 6 0 -2 -3 -1 2 4 4 3 3 4 4 5 5 6 6 6 6 5 5 5 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 11 11 10 10 10 10 10 9 8 7 7 7 7 8 8 8 9 10 10 10 10 11 12 12 12 12 12 11 10 9 7 6 7 9 10 10 9 8 8 8 8 8 7 7 7 9 10 10 11 11 11 11 11 10 9 9 9 9 nan
nan 8 9 9 10 11 11 11 12 12 11 10 9 10 12 13 13 13 12 11 10 9 9 8 6 5 4 3 3 3 3 3 3 3 3 4 11 20 26 27 23 19 17 16 15 16 19 22 24 18 10 5 3 1 2 4 5 4 3 2 3 4 5 6 6 6 5 5 5 5 6 8 9 8 8 8 7 7 7 7 7 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 10 10 11 11 11 11 10 9 9 9 9 9 8 7 7 7 7 7 7 9 10 10 10 9 9 9 11 12 12 13 12 12 10 8 7 7 8 9 10 11 9 7 8 9 9 9 8 6 6 6 8 8 9 10 12 13 12 11 10 10 11 11 nan
nan 9 9 10 10 11 12 12 12 13 12 10 9 9 9 9 10 11 11 11 11 11 11 10 8 7 6 5 4 4 4 4 4 4 4 3 6 14 21 25 27 25 21 15 13 13 15 16 16 10 6 3 1 -0 -0 2 3 2 1 0 2 5 6 6 6 5 5 5 5 7 9 11 11 10 9 8 7 7 7 7 8 7 7 6 6 7 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 8 9 9 9 10 11 11 12 12 11 9 8 8 8 9 8 8 8 7 7 6 6 8 9 10 10 9 9 9 9 10 11 11 11 11 9 8 7 7 9 10 11 10 8 8 8 9 10 10 9 7 5 5 5 6 7 9 12 14 13 12 12 12 13 13 nan
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nan 9 9 10 11 12 12 13 14 15 14 14 11 8 7 7 7 8 9 10 11 13 13 11 9 8 7 6 5 4 2 2 3 5 5 3 4 7 13 21 29 31 24 19 16 14 11 8 0 -7 -8 -4 0 4 8 9 8 4 -1 -4 -2 1 4 4 4 5 6 8 11 14 14 12 9 7 7 7 8 9 9 10 10 10 8 7 5 5 5 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 10 10 10 9 8 8 9 9 10 10 9 8 8 9 10 10 10 9 8 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 7 7 7 7 8 9 10 10 10 9 8 8 9 11 12 11 10 9 8 8 9 9 9 9 8 7 5 5 5 6 7 9 10 10 9 9 10 11 12 12 nan
nan 8 9 9 10 11 11 12 12 12 12 12 10 8 7 8 9 10 9 9 10 12 12 12 11 10 8 7 7 5 4 2 2 2 3 4 4 5 9 16 24 29 28 25 21 16 11 5 -1 -6 -5 -1 4 9 14 17 17 10 2 -2 -2 0 3 4 5 6 9 11 12 11 9 7 6 6 7 8 9 10 10 11 11 10 9 8 7 6 5 6 8 9 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 7 8 8 9 10 10 9 8 8 7 8 8 9 10 9 8 8 8 9 9 9 9 9 9 10 10 10 9 10 9 8 8 8 8 9 9 8 7 7 6 6 7 8 9 9 9 9 9 9 9 10 11 11 10 8 8 8 8 8 9 9 8 7 6 5 5 5 6 7 8 9 8 7 7 8 9 11 12 nan
nan 8 8 9 9 9 10 10 9 10 10 10 8 6 5 7 9 10 9 8 9 10 12 14 14 13 11 10 10 9 7 5 3 2 3 4 5 5 6 11 17 24 28 29 26 20 12 5 1 -2 -0 3 8 12 16 21 20 12 4 -0 -1 2 5 7 8 9 11 10 9 6 5 5 6 7 8 9 9 10 11 11 10 10 10 11 10 9 8 8 8 10 10 10 10 10 9 9 9 9 8 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 8 8 8 9 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 9 9 8 8 8 8 8 8 10 10 9 8 8 8 8 8 9 9 9 8 7 6 5 5 6 7 7 8 9 8 7 6 7 8 10 11 nan
nan 8 8 8 8 8 8 9 9 9 10 9 7 5 5 6 8 9 8 8 8 8 11 13 15 15 13 13 13 12 11 9 7 6 4 5 6 5 6 9 13 18 23 27 27 21 13 7 5 4 6 8 11 15 19 22 17 8 3 1 2 5 7 10 12 12 11 9 7 5 5 6 7 8 8 8 9 9 9 9 8 9 10 12 13 12 10 9 8 9 9 10 10 9 9 9 8 8 7 7 6 6 5 5 6 7 8 8 9 9 9 9 9 8 8 7 7 6 6 7 8 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 8 8 8 9 8 8 8 8 8 8 8 9 10 10 10 10 10 9 8 7 6 6 6 7 8 9 9 8 7 6 6 7 8 9 nan
nan 8 8 8 7 7 8 8 9 9 9 8 7 6 7 7 8 8 7 7 7 8 10 12 14 15 15 15 15 15 14 12 11 9 6 7 7 6 7 8 11 14 17 23 24 20 14 11 10 11 12 14 15 17 20 18 11 5 3 4 6 8 10 11 12 12 10 8 7 7 8 8 8 8 8 8 9 8 8 8 8 7 7 9 10 10 9 8 6 7 8 8 9 9 8 8 8 7 7 7 7 8 7 7 7 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 10 10 11 10 10 10 10 11 11 11 10 9 9 9 9 9 10 10 9 9 8 7 8 9 9 8 7 7 8 9 9 8 8 8 8 9 9 10 10 10 10 11 11 10 9 8 7 7 7 7 8 9 9 9 7 6 6 5 6 6 nan
nan 8 9 8 8 8 8 8 8 9 8 7 7 8 9 9 9 8 7 7 8 9 11 12 14 15 16 16 17 16 15 15 12 10 8 8 7 7 7 8 10 14 18 24 23 19 16 14 14 15 16 17 18 18 18 14 9 7 6 8 11 12 13 13 13 12 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 6 5 5 6 7 7 6 5 5 6 6 7 8 8 8 8 8 8 9 10 10 10 10 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 10 10 11 11 11 10 10 10 10 9 8 7 7 8 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 9 8 8 7 6 7 7 8 8 8 7 6 5 5 5 4 nan
nan 9 9 9 8 9 9 8 8 9 8 8 8 9 10 11 10 8 8 8 9 11 12 12 13 14 15 16 17 17 17 16 13 11 10 9 8 8 7 8 10 14 22 26 24 21 18 17 16 17 17 17 17 17 16 13 11 11 12 13 14 15 14 14 13 12 11 10 9 8 8 9 9 9 9 8 8 8 8 8 8 7 6 5 5 5 6 6 6 6 5 6 6 6 7 8 8 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 7 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 11 10 10 11 11 12 12 12 12 12 11 11 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 9 10 10 9 9 8 7 6 6 6 6 7 7 7 6 5 6 6 6 5 nan
nan 9 9 9 8 9 9 9 8 8 8 8 9 10 11 11 10 9 8 9 10 12 12 12 13 13 14 15 16 17 18 16 14 13 12 11 10 9 8 8 9 13 21 25 24 21 19 18 17 17 16 16 16 16 15 13 13 14 15 16 15 14 12 11 11 10 10 10 9 9 9 10 10 9 9 10 10 10 9 8 7 7 7 7 6 6 6 7 7 7 7 6 6 6 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 5 5 5 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 9 9 10 11 12 12 12 12 13 13 13 14 16 17 16 15 15 14 13 11 10 9 8 8 11 16 19 20 19 19 18 17 17 16 16 16 15 15 14 14 14 15 14 13 11 10 9 9 9 10 10 11 11 11 11 11 11 11 12 14 13 11 9 7 7 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 10 9 9 9 8 8 7 7 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 11 12 12 13 13 13 12 12 11 10 10 10 10 9 9 9 9 10 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 9 9 10 10 10 10 9 7 6 6 5 5 6 6 6 nan
nan 8 8 7 7 8 8 8 8 9 9 10 10 10 10 11 10 9 9 10 10 11 12 12 12 12 12 12 13 15 16 15 15 16 15 15 13 11 10 9 8 8 11 13 14 15 16 16 17 17 17 17 17 16 15 15 15 14 13 12 11 10 9 9 9 10 11 12 12 13 13 13 12 12 12 14 14 13 12 9 7 6 6 7 7 8 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 8 7 7 6 6 7 8 8 8 9 10 10 10 11 11 10 10 9 9 10 11 12 12 11 11 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 10 11 11 10 8 8 7 6 5 5 5 6 nan
nan 8 7 7 7 7 7 8 8 9 10 10 10 10 9 10 9 9 9 9 10 10 11 12 12 12 12 12 13 14 14 15 15 16 16 16 15 13 11 10 8 8 9 10 10 11 13 14 16 17 18 18 17 16 15 15 15 14 12 11 10 10 9 9 9 10 11 12 12 12 12 12 12 12 12 12 11 10 8 7 6 6 7 8 8 9 9 9 9 8 8 8 8 8 7 7 6 7 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 10 9 9 9 8 8 9 9 9 9 10 11 12 12 12 12 11 10 8 8 9 10 10 10 9 9 9 8 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 6 5 5 5 nan
nan 8 8 7 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 13 14 14 15 16 17 17 16 15 13 11 9 8 8 9 9 10 11 13 15 17 18 18 17 16 14 14 13 12 11 10 10 9 7 7 8 9 10 11 11 10 10 10 10 10 10 9 7 5 4 4 5 6 7 8 9 9 9 9 8 8 8 8 8 8 7 7 6 6 7 8 7 7 7 7 7 7 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 9 8 8 9 9 9 9 8 8 7 8 8 9 10 9 9 8 8 8 7 7 8 8 9 9 10 10 10 10 10 9 10 9 9 8 8 7 6 6 7 7 7 8 8 8 8 9 9 9 9 8 7 6 6 6 nan
nan 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 11 12 12 13 13 14 15 16 17 17 16 15 13 12 10 9 8 8 9 10 11 12 14 16 18 18 16 15 14 13 12 11 10 10 9 8 6 7 8 9 10 10 9 8 7 7 8 8 8 6 4 3 3 4 6 7 8 8 9 9 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 7 7 7 7 8 9 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 11 10 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 8 8 7 7 6 7 8 9 10 10 10 10 10 10 10 10 10 11 11 10 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 8 nan
nan 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 11 12 12 13 14 14 15 15 16 16 15 14 13 12 11 10 9 9 9 10 11 12 13 14 15 15 14 13 13 12 11 10 10 10 9 9 9 9 9 9 9 8 7 6 5 5 6 7 6 5 4 4 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 9 10 11 10 10 9 8 9 10 10 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 10 9 9 9 9 8 8 9 10 10 10 9 8 8 9 8 8 7 7 7 8 9 11 11 11 10 10 9 9 9 10 10 10 11 11 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 nan
nan 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 14 15 15 15 15 15 14 13 12 11 11 11 11 11 11 12 12 12 12 13 13 12 12 11 11 11 10 10 10 10 9 10 11 10 10 8 7 6 6 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 7 7 7 7 7 8 9 10 11 11 10 9 9 10 11 12 12 11 11 10 10 10 11 11 11 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 9 9 8 8 9 10 11 10 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 nan
nan 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 13 14 14 15 14 14 14 13 12 11 11 11 12 12 13 13 13 13 13 12 12 12 11 10 10 10 10 9 10 10 10 10 10 10 8 6 4 3 4 5 6 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 8 10 12 13 13 12 11 10 11 11 11 11 12 12 11 11 10 10 10 10 10 9 9 9 10 10 11 11 10 9 8 7 7 7 7 8 9 9 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 nan
nan 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 11 12 13 13 14 14 14 14 13 12 11 11 11 11 12 12 13 13 13 13 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 8 6 4 3 3 4 6 7 8 7 7 7 8 9 10 10 10 10 9 8 8 9 9 8 8 8 8 9 9 9 9 9 9 8 9 10 12 13 14 14 13 12 11 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 8 7 7 7 8 8 8 9 8 8 8 8 9 8 8 8 8 9 10 10 11 12 13 12 11 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 12 12 11 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 11 10 10 9 9 9 8 8 8 8 7 6 6 6 7 8 8 8 7 6 7 8 9 10 11 12 12 10 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 10 12 13 12 12 12 13 13 12 10 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 8 7 7 8 8 9 10 11 12 12 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 11 12 12 11 9 8 8 9 9 9 nan
nan 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 14 14 13 13 13 12 12 11 11 10 10 10 9 9 9 10 11 11 10 9 9 9 8 7 7 7 8 8 8 9 10 11 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 12 12 11 10 10 10 11 11 11 10 10 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 8 7 8 9 9 9 9 10 9 9 9 9 8 7 7 7 8 8 9 10 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 11 11 11 10 9 9 9 9 10 nan
nan 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 14 14 13 12 10 9 8 8 8 9 10 10 10 9 9 10 11 11 11 11 11 12 12 11 10 10 10 10 9 9 9 10 11 12 12 10 10 9 9 9 9 10 9 9 9 8 8 9 9 9 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 nan
nan 9 9 9 9 9 9 10 10 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 11 12 12 12 12 12 11 11 11 12 12 13 14 15 15 14 12 10 10 10 10 12 13 13 13 12 12 13 13 13 13 12 11 11 12 12 11 11 11 10 10 9 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 9 10 9 9 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 8 7 7 7 7 8 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 nan
nan 9 9 9 9 9 9 10 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 14 15 15 14 13 12 12 12 13 14 15 15 15 15 15 15 16 14 13 11 10 9 10 11 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 9 10 9 9 8 8 8 9 9 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 8 7 7 6 7 8 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 10 10 10 10 9 9 9 nan
nan 9 9 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 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 10 9 9 10 10 11 11 11 11 11 11 12 13 13 13 13 13 12 12 12 12 13 14 14 14 13 12 12 10 9 7 7 7 8 10 11 11 11 10 10 9 9 9 10 10 9 9 9 9 9 8 8 8 9 9 10 9 9 9 10 10 9 9 10 10 10 10 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 8 7 7 7 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 9 9 9 10 nan
nan 9 9 9 9 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 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 10 10 10 11 11 12 12 11 10 8 8 8 9 9 9 10 10 10 9 10 10 10 11 11 11 11 11 10 9 10 11 11 11 11 9 7 6 5 6 6 6 7 8 8 9 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 9 8 8 7 7 7 7 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 9 9 9 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 10 10 9 9 9 9 9 9 9 10 nan
nan 9 9 9 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 10 10 10 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 11 12 12 12 11 9 8 6 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 8 6 6 6 8 9 10 10 9 9 11 11 10 9 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 8 8 9 10 11 11 11 10 9 9 9 8 9 9 9 9 10 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 nan
nan 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 11 10 8 6 6 7 8 8 9 9 10 9 9 10 10 10 10 10 10 10 10 9 9 10 11 12 12 13 13 12 12 12 13 13 13 12 12 13 13 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 11 10 9 7 7 7 7 7 7 9 9 10 10 10 10 10 9 9 8 8 9 10 10 10 9 8 9 9 10 10 9 9 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 12 11 11 11 12 12 12 12 11 10 8 7 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 14 15 16 17 16 16 15 13 13 13 14 14 13 11 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 10 11 12 13 12 11 9 9 8 8 7 7 7 8 9 10 10 10 9 9 10 10 10 10 10 11 11 10 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 nan
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nan 11 11 11 11 10 9 9 9 10 11 12 12 12 12 13 12 12 11 10 9 9 10 10 10 11 11 11 11 12 11 11 10 9 8 9 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 8 7 7 6 5 5 5 6 6 7 8 9 10 11 11 10 9 9 9 9 10 10 11 12 13 15 17 17 16 15 14 13 12 11 10 9 10 10 11 10 9 8 8 7 6 7 7 7 7 8 8 9 10 12 12 11 10 9 9 9 9 9 8 8 9 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 9 9 8 8 9 9 9 9 10 11 12 12 12 12 10 7 5 4 5 6 9 9 9 8 8 8 8 9 10 11 13 14 nan
nan 10 10 10 10 9 8 8 9 11 12 13 13 13 13 13 12 11 9 8 8 8 9 10 10 11 12 12 12 12 12 11 10 9 8 8 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 8 7 7 6 5 5 6 6 7 8 10 11 11 11 11 11 10 10 11 11 12 13 14 15 16 16 16 15 14 14 13 13 12 11 11 10 10 11 10 10 9 8 7 6 6 7 7 7 7 8 8 10 11 12 12 12 10 9 9 9 9 9 9 10 10 11 11 10 10 11 11 12 12 12 12 11 11 12 12 12 11 9 8 7 7 6 6 6 7 9 11 12 13 13 11 8 6 5 5 7 9 10 10 9 8 8 8 9 9 11 13 14 nan
nan 9 9 8 8 7 7 8 10 11 13 13 13 13 13 12 10 9 8 7 6 7 8 9 11 12 13 13 13 12 12 11 10 9 8 9 9 10 10 10 9 8 8 8 9 9 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 8 7 7 6 5 5 5 6 7 9 10 10 11 11 12 12 12 12 12 12 13 13 14 15 16 15 15 14 14 13 13 13 12 12 11 11 10 10 10 10 10 9 7 6 6 6 6 7 7 7 8 9 10 12 13 13 11 9 9 9 10 10 10 10 10 11 10 10 9 10 11 12 12 11 11 11 12 13 13 14 14 13 11 9 7 6 5 5 6 8 10 12 13 13 11 8 6 5 5 8 9 10 10 9 8 8 8 8 9 11 12 12 nan
nan 8 8 8 7 7 8 10 11 12 13 13 13 12 11 10 9 8 6 5 5 6 7 9 11 12 13 12 12 12 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 8 7 6 6 5 5 6 7 8 9 9 9 10 11 12 13 13 13 12 12 12 13 14 15 14 13 13 14 14 13 12 12 12 12 12 11 10 10 10 11 10 9 7 6 5 5 6 6 7 7 8 8 9 10 12 13 12 11 10 9 10 10 11 11 11 11 11 10 10 10 11 11 11 11 10 11 11 12 13 14 16 17 16 15 12 9 9 9 9 9 10 11 12 12 9 6 4 4 6 8 10 11 11 10 9 8 8 8 9 10 10 9 nan
nan 9 10 10 10 11 11 12 12 12 12 12 11 11 10 9 8 7 6 5 5 6 8 10 11 13 13 13 12 11 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 10 9 9 9 8 7 7 6 6 6 7 7 8 8 8 8 8 9 10 12 13 14 13 12 11 11 12 13 13 13 12 12 14 15 15 14 13 12 12 12 11 10 10 10 10 10 9 7 6 5 5 5 7 7 8 8 8 7 8 10 12 13 12 11 10 10 11 12 12 12 12 12 11 10 10 10 10 10 10 10 11 11 12 13 14 16 17 17 17 15 13 12 11 11 11 10 11 11 10 8 5 4 5 6 8 10 12 11 10 9 8 7 7 8 8 8 8 nan
nan 9 11 13 13 13 13 13 13 12 12 11 10 9 9 9 8 7 6 6 6 8 9 11 12 12 13 13 13 12 11 10 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 12 13 13 12 11 11 11 11 11 11 11 11 12 14 15 16 16 15 14 13 13 12 11 10 10 9 9 9 8 7 5 5 6 7 8 8 8 8 7 7 8 10 12 12 11 10 11 12 13 13 13 12 12 11 11 10 10 9 9 9 10 11 11 11 12 12 13 14 15 15 14 13 12 11 11 11 10 10 10 9 8 7 7 6 6 7 9 11 11 11 9 8 6 5 5 4 4 5 nan
nan 9 11 13 14 14 14 13 13 12 11 10 9 9 9 9 9 8 8 8 9 9 10 10 11 12 12 13 13 12 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 10 11 11 12 12 12 12 11 11 11 11 11 10 10 9 8 8 7 7 8 8 8 8 8 8 8 8 9 9 11 12 12 12 12 11 11 10 10 10 11 11 11 11 12 14 15 16 16 15 14 13 13 12 11 11 10 10 10 10 8 7 6 6 7 8 8 9 9 8 7 7 8 10 11 10 10 11 12 12 12 11 11 11 11 11 10 10 10 10 9 9 10 10 10 11 11 11 11 12 13 12 11 11 10 10 10 10 9 10 10 11 11 10 8 6 7 8 10 11 10 8 6 4 1 -1 -3 -1 2 nan
nan 11 13 14 14 14 13 12 12 12 11 10 9 9 9 10 10 10 10 10 10 11 10 10 11 11 12 12 12 12 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 11 11 10 10 10 9 9 9 9 9 10 11 11 12 12 12 11 10 10 10 11 10 10 9 8 8 8 8 8 8 8 8 9 10 10 10 10 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 11 12 14 15 16 15 14 13 13 13 12 12 12 12 13 12 11 9 8 7 7 7 8 9 9 9 8 6 7 9 10 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 13 14 15 14 11 9 8 9 11 11 9 6 2 -1 -3 -4 -4 -1 4 nan
nan 13 14 14 14 13 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 11 11 10 10 10 10 11 11 11 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 9 9 10 11 10 9 8 8 8 9 8 7 7 7 9 10 11 12 12 12 13 13 12 12 11 10 10 9 9 9 10 10 11 11 11 11 12 13 14 15 14 13 12 12 11 11 12 12 13 15 15 14 12 9 8 7 7 8 9 9 9 9 8 9 9 10 10 10 10 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 10 12 14 16 17 18 18 16 13 12 11 12 12 9 5 1 -1 -1 -1 1 5 8 nan
nan 14 14 14 13 12 11 11 10 10 10 9 9 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 11 11 10 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 11 10 10 9 8 9 9 8 7 6 7 9 11 13 14 14 14 14 13 13 12 11 9 9 8 9 9 10 11 11 12 12 12 13 14 14 14 13 11 10 9 8 8 9 10 12 14 14 14 12 10 8 7 7 8 9 9 9 10 11 10 9 8 6 6 8 9 10 11 11 10 9 8 8 9 9 8 8 8 8 8 9 10 10 9 8 8 7 6 6 5 6 7 8 9 11 14 16 19 20 21 20 19 17 14 12 11 11 10 8 5 5 5 6 8 9 10 nan
nan 13 13 12 11 11 11 11 11 11 10 10 9 8 9 9 10 10 11 12 12 11 11 11 11 11 11 10 9 9 9 10 11 11 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 10 9 7 6 6 7 9 11 13 14 14 14 13 12 11 10 9 8 7 7 8 9 10 11 11 12 12 12 13 14 14 13 11 10 9 7 6 6 7 9 11 12 12 12 12 10 8 8 8 8 8 9 10 11 12 11 8 5 3 4 7 8 10 10 9 9 8 8 8 8 8 8 7 7 7 8 9 10 10 10 9 8 7 5 4 4 5 7 9 11 13 15 18 20 21 21 21 20 20 16 12 9 9 9 10 10 11 11 13 13 13 13 nan
nan 12 11 11 10 10 10 11 12 12 11 10 9 9 9 10 11 11 12 13 12 12 12 11 11 11 10 9 9 9 9 9 10 10 10 10 9 9 10 11 11 11 12 12 12 11 11 11 11 10 10 10 9 9 9 9 8 8 7 6 6 7 7 7 7 8 8 8 9 10 11 11 11 11 10 9 7 6 6 7 9 11 12 13 13 13 12 11 10 9 7 6 6 6 7 8 9 10 10 11 11 11 12 13 13 13 12 10 10 9 9 8 8 9 10 11 11 11 11 9 8 8 8 8 9 9 10 11 12 11 9 7 5 7 8 9 9 8 8 7 8 8 8 8 8 8 7 7 7 8 9 10 9 8 7 6 4 3 3 4 6 8 11 13 14 15 17 19 20 19 19 18 17 16 13 11 9 9 10 12 13 14 15 16 16 15 nan
nan 12 11 10 9 9 10 11 12 13 12 10 10 10 10 10 11 12 13 13 13 12 12 11 11 10 9 9 9 9 8 9 9 9 9 9 9 10 11 12 12 11 11 11 12 12 11 11 11 10 10 10 10 9 9 9 8 7 6 6 6 6 6 7 7 7 8 9 9 10 11 11 11 11 10 9 8 7 7 7 9 11 12 13 13 12 11 11 10 9 8 7 6 6 7 8 9 9 9 9 10 10 10 10 11 12 12 12 12 12 12 11 11 10 10 11 11 10 10 9 8 8 8 8 9 10 10 11 11 11 11 10 10 10 11 11 10 9 8 7 7 7 7 8 8 7 7 7 7 8 9 8 6 4 2 -0 -1 -0 2 5 8 11 13 14 14 15 16 17 18 16 14 11 10 10 10 11 11 11 12 13 14 16 17 17 16 15 nan
nan 12 11 9 9 9 10 11 12 12 11 10 9 9 9 10 10 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 8 7 7 8 10 11 12 11 11 10 10 10 11 11 11 11 10 10 10 9 9 8 8 7 6 6 6 6 6 7 7 8 8 8 9 10 10 11 11 11 10 9 8 8 7 7 8 9 11 12 12 12 11 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 13 13 12 11 11 10 9 8 8 8 7 8 8 8 9 9 10 11 11 11 12 12 12 13 13 12 11 9 7 6 5 6 7 7 7 8 8 8 8 6 4 1 -2 -3 -3 -2 1 5 9 11 13 14 14 14 15 16 17 17 15 11 7 4 4 6 8 10 12 14 15 17 19 19 18 16 14 nan
nan 12 10 10 9 10 11 12 12 12 11 9 9 8 9 9 10 10 10 11 11 12 12 13 13 12 12 11 10 10 9 9 8 7 5 5 6 9 11 12 11 10 9 9 9 9 10 10 10 10 10 10 9 8 8 7 7 7 6 7 7 7 8 8 9 9 9 9 10 10 11 11 11 10 9 8 8 7 8 9 9 10 10 10 9 9 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 10 10 9 8 7 7 7 7 8 8 9 9 10 11 12 12 12 12 12 13 14 13 12 10 8 6 5 6 7 7 8 7 6 4 3 0 -2 -3 -3 -1 2 6 9 12 13 14 14 14 14 15 16 18 19 19 17 13 9 7 6 7 8 10 12 14 16 20 22 21 18 15 12 nan
nan 12 11 10 11 11 12 12 12 11 10 9 8 8 8 9 9 10 10 11 12 13 13 14 14 13 13 12 11 10 9 8 7 6 4 3 5 8 11 11 11 10 9 9 8 9 9 9 9 10 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 10 11 11 11 11 10 9 9 8 8 9 9 9 9 8 7 7 7 8 9 9 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 9 8 7 7 7 7 8 10 11 11 11 12 13 13 12 11 11 11 12 13 13 12 11 9 7 6 7 7 7 6 3 0 -1 -2 -2 -2 -0 3 8 11 14 16 16 15 15 15 16 16 17 18 19 19 18 17 16 14 12 11 11 11 11 12 14 16 19 19 18 15 12 10 nan
nan 12 11 11 11 11 11 11 11 11 10 9 8 8 8 9 10 10 10 11 12 13 14 14 13 13 12 11 10 10 9 9 8 6 4 4 5 8 10 11 11 10 9 9 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 10 11 12 12 12 11 10 10 10 10 10 10 9 8 7 6 6 7 7 8 8 9 9 10 10 10 10 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 9 8 7 7 8 8 9 11 13 13 14 14 15 14 12 10 10 10 11 12 13 12 12 12 11 9 8 7 6 4 2 -1 -2 -1 1 4 7 10 14 18 20 20 19 18 18 18 18 19 19 19 19 17 15 14 13 13 12 13 13 13 14 15 15 16 16 16 15 13 11 10 9 nan
nan 12 11 11 10 10 11 11 11 11 11 10 9 9 8 8 9 9 10 10 11 12 13 13 13 12 12 11 10 10 10 10 9 7 6 6 7 9 10 11 11 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 9 10 10 11 12 13 13 13 12 11 11 11 11 11 11 9 7 7 7 8 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 11 10 9 9 9 8 7 7 7 8 9 11 12 13 13 13 13 13 12 10 9 10 12 13 14 13 13 13 14 15 14 13 11 7 4 3 3 5 8 11 14 17 21 23 24 24 22 20 20 20 20 19 18 17 16 14 12 10 9 8 7 8 10 13 16 18 19 20 18 15 13 11 10 9 9 9 nan
nan 11 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 9 10 12 12 13 12 12 12 11 11 11 11 10 10 9 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 8 9 10 10 10 10 10 9 9 10 11 13 14 14 14 14 13 13 12 11 11 12 12 11 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 11 10 9 9 8 7 7 7 8 9 10 11 10 10 9 10 10 10 9 8 9 12 14 15 14 13 14 15 17 19 20 19 17 13 10 11 12 14 16 19 21 23 24 24 23 20 17 16 15 16 15 14 13 11 10 8 7 7 7 7 8 10 13 16 18 20 22 21 18 14 12 10 10 9 9 9 nan
nan 10 9 9 10 10 11 11 11 11 10 10 10 9 9 7 7 6 6 8 10 11 12 13 13 13 13 12 12 12 11 11 10 9 8 8 9 9 10 10 10 10 11 11 11 11 10 9 9 9 9 8 7 7 7 8 9 10 11 11 11 11 10 10 10 11 13 14 15 15 14 13 13 14 13 12 11 11 11 11 10 9 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 11 10 9 8 7 7 7 8 9 10 10 9 8 8 8 9 9 9 8 9 11 13 14 14 13 12 13 15 17 19 20 19 18 16 15 15 16 17 18 20 21 21 19 17 14 11 10 11 11 11 11 10 9 9 8 9 10 11 11 11 12 14 16 17 17 18 19 18 15 12 11 10 10 10 10 10 nan
nan 10 9 10 10 11 11 11 10 10 9 9 9 9 8 7 6 5 6 7 9 11 12 13 14 13 13 12 12 11 11 10 10 9 9 9 9 10 10 10 11 11 12 12 12 11 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 11 11 11 12 12 13 13 12 12 10 10 11 13 14 14 13 12 11 10 11 11 11 11 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 7 7 6 7 9 10 10 10 8 8 8 9 9 9 9 9 10 11 12 12 11 10 10 12 13 14 15 14 14 13 13 13 13 14 14 15 15 15 14 13 12 11 11 13 13 14 14 15 14 14 13 14 15 16 16 14 13 13 13 13 13 13 14 14 14 12 11 10 9 9 10 10 9 nan
nan 10 10 10 11 11 11 10 10 9 9 9 9 8 7 7 6 5 6 7 9 10 12 13 13 12 12 11 11 10 9 9 9 9 9 10 10 11 11 10 11 11 11 12 12 11 9 9 9 9 10 10 9 9 9 9 10 10 11 11 11 10 10 11 12 12 11 10 8 7 5 5 8 11 13 14 14 13 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 7 6 7 8 9 10 10 9 8 9 9 9 9 8 9 9 10 10 10 10 10 9 10 10 10 11 11 10 10 10 10 10 10 11 12 12 13 12 11 12 14 17 19 20 20 19 19 18 18 17 17 17 17 16 15 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 nan
nan 11 11 11 11 11 10 10 10 10 10 9 9 8 8 7 6 6 6 7 8 10 11 12 12 11 10 9 9 8 8 8 9 10 10 11 11 11 11 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 11 12 11 10 9 8 6 4 4 6 10 12 13 13 12 12 12 13 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 9 10 10 10 10 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 10 10 9 9 9 8 8 9 9 9 11 12 13 13 13 13 15 17 19 20 20 19 18 17 16 15 14 14 14 13 13 12 12 12 11 11 11 11 10 10 10 10 11 11 12 11 11 11 11 11 nan
nan 11 11 11 11 11 11 10 10 10 10 10 9 9 8 7 6 6 6 7 8 9 11 11 11 10 9 8 7 7 7 8 9 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 11 11 10 11 10 9 8 8 9 10 11 11 11 11 11 12 13 12 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 11 11 10 9 9 9 8 7 6 6 6 7 7 8 9 9 9 9 9 9 9 9 8 6 5 6 8 10 12 14 15 15 14 15 15 16 15 15 14 14 13 13 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 7 6 7 7 8 10 11 11 10 9 8 7 6 6 7 9 10 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 9 9 8 9 9 9 9 9 9 10 10 11 12 13 13 13 13 12 13 13 13 12 10 8 8 9 11 12 11 11 11 13 14 14 13 12 10 10 10 10 10 11 12 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 9 9 9 9 8 9 9 10 11 11 11 11 10 9 8 8 7 6 4 3 3 3 4 5 6 6 6 6 6 7 8 7 5 2 1 3 7 11 14 15 15 15 14 14 14 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 11 11 12 12 12 11 11 11 10 10 10 10 10 8 7 7 7 8 9 10 11 11 10 9 7 6 6 7 8 9 10 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 11 13 14 15 15 14 12 11 12 12 11 9 8 8 9 11 13 14 13 13 14 17 17 16 14 12 10 9 9 10 11 13 13 14 14 14 15 14 13 12 12 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 9 8 7 7 7 6 5 3 2 1 1 1 1 0 -0 0 1 3 3 3 -0 -3 -2 2 8 13 15 14 14 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 10 10 10 10 nan
nan 11 11 12 12 12 12 12 12 11 11 11 11 11 10 9 8 7 8 9 10 11 11 11 10 9 7 7 6 7 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 10 10 11 12 12 11 12 13 15 16 15 13 10 9 9 10 10 9 8 8 9 11 13 14 14 13 13 16 17 18 19 17 15 13 11 10 10 12 14 17 18 19 19 19 17 16 15 14 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 6 6 4 3 2 1 -0 -2 -3 -3 -1 -0 0 -1 -3 -3 1 7 14 17 16 14 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 nan
nan 11 11 12 12 12 12 12 12 12 12 12 12 11 10 9 8 7 8 9 10 11 11 11 10 9 8 7 7 7 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 11 11 12 13 13 13 13 13 14 14 13 11 10 9 10 10 10 10 9 9 9 10 11 11 10 9 9 10 11 13 17 19 19 17 15 12 11 11 13 16 18 19 20 19 19 18 18 16 15 14 13 12 11 10 10 10 10 10 9 9 8 6 5 5 6 6 7 7 8 8 8 7 7 7 7 7 6 5 4 3 2 2 3 3 2 1 1 4 10 16 21 21 18 15 13 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 11 11 10 10 10 nan
nan 10 10 11 11 12 12 12 12 12 12 12 12 11 10 9 8 7 8 9 10 11 11 11 10 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 11 12 12 12 12 12 12 13 13 13 13 13 12 11 11 11 11 11 11 10 10 10 9 9 10 9 8 7 5 4 3 4 8 12 15 17 17 15 13 12 11 12 13 14 15 15 15 15 16 16 15 14 13 12 11 10 10 9 10 10 10 9 7 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 13 17 20 21 19 16 14 12 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 12 12 12 12 11 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
2 1 1 1 1 2 2 3 3 2 1 0 0 3 10 38 129 339 671 754 845 916 1002 1141 1314 1425 1510 1555 1592 1631 1675 1726 1794 1873 1950 2015 2066 2094 2094 2064 2013 1979 1978 1997 2035 2077 2105 2104 2094 2072 2066 2065 2134 2329 2619 2868 2950 2921 2805 2587 2266 1862 1413 973 635 416 308 279 288 297 277 247 200 168 123 66 49 61 85 108 129 151 172 189 207 260 334 379 394 389 377 357 312 316 340 359 359 339 296 231 156 106 79 55 34 29 39 55 68 75 71 47 14 6 9 12 13 12 13 13 9 1 4 23 77 140 213 315 437 407 371 341 287 212 136 72 29 12 6 2 2 4 6 16 37 41 36 25 13 4 1 1 8 29 65 90 79 49 27 10 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 1 0 0 1 1 1 0 0
2 1 1 2 1 1 1 1 1 1 0 0 0 0 0 1 8 35 103 149 214 258 296 401 622 912 1166 1326 1480 1627 1754 1852 1925 1998 2069 2129 2179 2205 2202 2178 2144 2120 2121 2129 2146 2178 2213 2220 2226 2214 2216 2234 2325 2531 2807 3002 3012 2899 2678 2329 1886 1442 1062 723 467 317 262 271 311 356 381 332 223 136 84 52 34 34 43 56 70 85 100 114 132 169 208 236 254 262 253 235 208 184 182 193 206 211 198 176 121 76 45 25 11 5 8 14 17 22 28 26 12 5 4 5 2 1 1 1 1 0 0 4 12 26 58 133 264 292 265 210 147 91 50 18 4 1 0 0 0 0 0 0 15 22 20 12 4 1 0 0 6 25 50 66 56 27 13 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 0 0 1 1 1 1 1 0
1 1 2 2 1 1 1 1 0 1 0 0 0 0 1 1 1 0 3 8 18 24 27 45 106 234 453 634 839 1083 1375 1688 1956 2115 2206 2258 2296 2316 2311 2291 2266 2248 2245 2247 2256 2275 2303 2319 2348 2366 2403 2463 2569 2734 2917 3015 2947 2748 2415 1956 1459 1051 753 528 364 273 248 274 332 391 388 270 142 64 33 23 17 22 24 28 33 40 49 59 72 92 117 138 151 153 145 132 115 106 102 100 107 121 111 88 57 32 17 9 3 0 1 2 2 3 6 8 5 2 1 2 1 0 1 1 0 0 0 0 0 1 19 81 151 161 130 81 37 13 6 1 0 0 0 0 0 0 0 0 6 8 6 2 0 0 0 3 12 28 45 56 44 19 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 1 1 1 0 0
1 1 2 2 2 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 8 59 114 212 364 603 968 1450 1924 2229 2354 2404 2416 2405 2385 2366 2353 2345 2346 2351 2359 2378 2424 2467 2534 2621 2716 2810 2895 2942 2883 2693 2399 1989 1519 1079 742 525 391 299 241 211 218 261 290 247 154 75 29 10 5 4 14 15 15 14 16 21 26 28 36 47 57 62 62 61 58 51 46 42 39 39 44 33 23 16 8 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 9 55 87 74 47 23 7 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 2 10 25 43 55 46 27 14 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 49 121 276 605 1217 1873 2259 2444 2494 2476 2446 2432 2429 2418 2408 2417 2443 2480 2535 2612 2723 2840 2923 2939 2877 2744 2515 2206 1864 1483 1103 773 528 378 301 240 188 147 131 142 137 109 72 38 14 1 0 0 3 4 5 6 7 10 12 8 8 10 10 11 12 15 15 10 4 2 3 5 6 3 1 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 2 18 35 28 15 6 2 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 6 18 28 31 27 23 16 5 1 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
2 2 2 2 2 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 28 123 452 1122 1758 2224 2483 2565 2542 2493 2476 2459 2444 2462 2513 2580 2661 2768 2896 2982 2969 2805 2506 2161 1826 1530 1253 985 736 528 374 273 220 167 122 87 64 53 42 30 19 11 4 0 0 0 0 0 1 1 2 4 6 1 1 1 1 1 1 2 1 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 0 0 0 0 0 0 0 0 2 7 6 4 2 2 1 0 0 0 0 1 2 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 4 6 10 22 31 20 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 2 2 2 1 2 2 2 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 13 84 381 920 1567 2196 2608 2706 2601 2538 2521 2532 2584 2668 2760 2842 2928 2995 2937 2707 2309 1818 1361 1037 847 693 549 416 305 221 154 118 88 62 40 23 11 6 3 2 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 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 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 14 30 33 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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