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 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 9 9 9 9 9 8 8 8 8 7 7 7 8 9 10 10 10 9 8 9 12 13 12 11 10 8 7 7 6 6 6 6 7 8 9 10 11 11 12 12 12 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 10 10 10 10 11 12 12 11 10 9 9 10 12 14 15 16 16 15 14 13 12 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 nan
nan 8 7 6 6 6 7 8 8 8 8 8 8 9 9 8 7 7 8 8 8 7 7 6 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 9 9 10 10 9 10 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 9 10 10 8 8 9 11 12 11 10 8 6 6 6 6 6 6 7 8 10 11 11 12 13 13 13 13 13 13 12 12 13 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 11 10 10 9 10 11 12 14 15 16 16 16 16 15 14 13 12 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 nan
nan 8 7 6 6 6 7 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 7 6 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 6 7 8 8 8 8 9 10 9 8 8 9 11 12 12 10 7 6 6 6 6 6 7 9 10 12 13 14 14 15 15 16 16 17 16 16 15 15 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 11 11 10 10 10 10 11 12 13 14 15 17 18 17 17 17 16 15 13 11 10 10 10 10 10 10 9 8 8 8 7 7 8 9 9 9 9 8 8 8 8 nan
nan 9 8 7 6 7 7 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 7 7 8 8 8 8 8 9 9 8 8 7 7 8 8 7 7 6 7 7 7 7 7 8 8 8 7 7 8 9 9 9 10 10 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 10 9 9 9 11 14 15 12 10 8 7 7 7 8 9 11 12 14 16 17 18 18 19 19 20 20 20 19 18 17 16 15 15 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 13 14 16 17 18 19 20 18 15 13 13 13 13 12 11 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 nan
nan 10 9 8 7 7 7 7 7 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 7 7 7 8 8 8 8 7 8 8 8 9 9 9 9 9 8 8 9 9 9 8 8 9 9 8 7 7 7 8 8 8 8 7 7 7 8 9 9 9 9 10 10 11 10 9 10 14 16 15 14 12 10 9 8 8 10 12 15 17 19 20 21 22 23 23 23 23 23 22 20 19 18 17 16 16 15 15 14 14 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 15 17 18 19 18 17 16 16 16 16 15 14 12 10 9 8 9 9 9 9 9 9 9 10 10 9 9 8 nan
nan 10 10 9 8 8 8 7 7 8 8 8 9 9 8 7 7 8 8 9 9 9 8 8 8 8 9 8 8 8 8 8 8 9 10 11 11 11 9 8 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 9 8 8 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 9 9 11 13 17 18 18 14 10 8 8 10 13 16 19 21 23 24 24 24 24 24 24 23 22 21 19 18 18 18 17 17 17 17 16 16 15 14 14 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 12 12 12 11 11 11 11 10 10 11 13 15 16 16 16 16 17 18 18 18 18 17 14 12 11 11 11 11 10 10 9 9 9 9 9 9 9 8 nan
nan 10 9 9 8 8 8 8 8 8 9 10 10 10 9 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 9 9 10 10 11 12 13 13 11 10 9 9 9 9 9 9 9 9 10 9 8 7 7 7 6 7 7 8 8 9 9 9 9 9 9 9 9 8 7 7 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 11 16 20 21 17 12 8 8 10 14 17 20 21 22 23 23 23 22 22 22 21 20 20 19 18 18 18 18 18 18 18 18 17 17 16 15 14 14 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 12 13 13 14 14 14 16 17 18 19 19 19 18 17 16 15 13 12 11 10 9 8 8 8 8 8 8 8 nan
nan 9 9 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 10 10 10 10 11 12 12 12 10 10 10 10 10 9 9 8 9 10 10 10 8 7 7 8 8 7 7 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 9 10 10 9 9 9 8 8 8 8 9 9 9 9 10 13 17 19 16 12 9 8 10 14 16 17 18 18 18 18 18 18 18 18 17 17 17 16 16 16 17 17 17 18 18 18 18 17 16 16 15 14 14 13 13 12 12 12 12 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 11 11 11 12 12 12 13 13 14 15 17 19 20 21 21 20 18 16 13 11 10 9 8 8 8 8 8 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 10 9 9 8 9 9 10 11 11 10 9 9 9 10 9 9 8 8 9 10 10 10 9 7 7 8 9 9 8 8 8 8 8 9 8 8 9 10 9 9 8 7 7 7 7 7 8 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 11 12 12 11 9 9 10 11 12 12 12 12 12 12 12 12 12 13 13 12 12 13 13 13 13 14 14 15 15 16 16 16 15 15 15 14 14 13 13 13 13 13 12 12 12 12 13 13 13 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 11 12 12 12 12 12 12 13 15 18 20 22 21 19 17 16 14 12 11 10 10 9 9 9 9 9 nan
nan 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 9 10 9 8 7 7 7 8 9 10 10 9 8 8 8 9 8 8 8 8 8 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 7 7 6 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 7 6 6 6 7 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 10 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 13 13 12 13 13 13 13 13 13 13 12 12 12 12 11 11 12 12 12 11 11 11 11 11 12 12 12 11 10 10 10 11 12 15 18 19 19 19 19 18 17 15 14 13 12 11 10 10 10 nan
nan 9 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 6 7 7 8 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 9 8 7 7 7 8 9 9 10 9 8 8 8 8 9 8 8 8 8 8 8 7 7 6 6 5 4 2 1 -1 -1 1 2 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 10 10 11 11 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 11 12 11 11 11 11 11 12 12 12 11 11 10 10 9 10 10 12 14 16 18 20 22 23 22 21 19 17 15 13 12 11 10 nan
nan 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 7 7 7 8 9 8 8 7 8 8 9 9 9 8 7 7 8 9 9 9 8 7 7 7 7 7 7 8 7 5 2 -2 -6 -7 -4 -2 0 1 2 2 4 5 5 6 6 6 6 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 13 14 17 21 23 23 23 22 20 17 16 14 12 12 nan
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nan 9 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 8 10 11 10 9 8 8 8 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 8 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 10 9 9 8 7 6 7 8 9 9 9 8 7 7 7 6 6 7 8 9 8 5 0 -4 -6 -5 -3 0 3 4 4 4 4 4 4 5 5 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 10 12 14 16 17 18 19 19 17 16 nan
nan 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 9 11 11 9 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 8 7 7 7 7 8 7 7 7 8 9 10 10 10 9 8 7 6 6 7 8 9 9 8 8 7 7 7 6 6 7 8 9 8 6 4 1 -1 -3 -4 -1 3 5 6 5 5 4 4 4 3 3 3 4 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 12 13 12 11 10 10 9 9 10 11 12 14 16 17 17 17 nan
nan 10 10 9 8 8 8 7 8 7 7 7 7 7 7 7 8 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 10 9 9 8 7 7 7 8 8 8 7 7 7 8 8 9 9 10 10 8 6 5 6 7 8 9 9 8 8 8 8 7 6 6 6 7 8 8 6 5 5 3 -0 -3 -2 2 5 7 6 6 6 6 5 3 1 1 2 3 3 4 6 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 11 11 12 12 12 12 11 10 10 9 9 9 10 11 13 14 15 nan
nan 10 10 9 9 8 8 8 8 8 7 7 7 7 7 8 9 10 9 8 7 7 7 7 7 7 7 8 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 8 8 8 8 8 7 7 8 8 8 8 9 10 9 7 6 7 8 8 9 9 9 8 8 8 8 7 6 6 7 8 8 6 5 5 5 2 -1 -2 2 6 7 8 8 8 8 7 5 3 2 2 1 1 1 3 5 7 7 7 7 7 7 8 8 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 11 11 10 9 9 8 9 9 11 12 nan
nan 10 9 9 8 8 8 8 7 7 8 8 7 7 7 8 10 10 9 8 7 7 7 7 7 7 7 8 8 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 9 8 8 7 7 8 8 9 8 8 8 7 7 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 8 7 6 7 8 8 7 6 5 6 6 4 2 0 3 6 7 8 8 8 8 7 6 4 4 4 2 -0 -1 2 4 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 12 12 12 11 10 9 9 8 9 9 nan
nan 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 8 9 10 10 9 8 7 7 8 8 9 9 8 8 8 7 7 8 8 8 8 7 7 6 7 8 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 7 6 6 6 6 6 4 3 4 5 6 8 8 8 6 4 4 4 5 6 4 0 -1 1 3 5 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 12 12 13 13 12 12 11 11 10 9 9 nan
nan 9 10 9 8 7 7 7 7 7 7 7 7 7 8 9 10 10 9 8 8 8 7 7 7 7 8 8 8 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 9 9 9 8 7 7 7 8 9 9 9 9 8 8 8 7 8 9 9 8 7 6 5 6 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 6 5 5 6 7 9 7 4 1 0 1 4 6 4 1 1 2 3 5 6 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 13 13 14 13 13 13 12 11 11 nan
nan 9 10 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 7 8 8 9 9 9 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 9 9 8 6 5 5 6 7 8 9 9 9 9 9 8 8 8 7 7 6 7 7 8 8 8 7 7 8 8 8 7 6 6 6 8 9 8 4 1 -1 -1 1 3 2 2 2 3 4 5 6 7 7 7 8 8 7 7 7 7 7 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 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 13 14 14 15 15 15 15 14 13 nan
nan 10 10 9 9 8 7 7 7 7 7 8 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 8 8 7 6 5 6 6 6 8 9 10 10 10 9 9 8 8 8 8 9 9 10 9 9 8 8 8 8 9 9 8 7 6 5 5 6 7 8 9 9 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 7 6 7 8 8 8 6 3 -1 -2 0 2 2 2 2 3 4 5 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 13 14 15 15 16 17 17 16 16 nan
nan 10 9 9 9 8 8 7 7 7 7 7 6 7 8 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 7 7 6 6 7 8 10 11 11 10 9 9 8 9 9 10 10 10 9 9 8 7 7 8 8 8 8 7 5 4 5 6 6 7 8 9 9 9 9 9 8 7 7 8 8 7 7 7 7 7 7 8 9 9 8 8 7 7 6 6 7 7 7 6 4 1 0 1 2 2 2 2 2 3 4 5 6 6 7 7 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 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 12 12 13 13 14 14 14 14 14 15 16 17 18 18 18 17 nan
nan 9 9 9 8 8 8 7 7 6 6 6 6 7 8 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 9 10 11 11 11 10 8 7 7 7 8 10 11 11 11 10 9 8 8 10 11 11 10 9 8 7 6 6 7 7 7 8 8 6 5 4 5 6 7 8 9 9 9 8 8 8 7 7 7 7 8 8 7 7 7 7 7 9 9 9 8 7 7 6 6 6 7 7 7 7 6 4 3 2 2 2 2 2 2 3 4 5 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 10 10 10 11 11 11 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 11 11 11 12 13 13 14 15 15 15 15 16 17 17 17 18 18 nan
nan 9 9 9 9 8 8 7 7 6 6 6 7 8 9 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 8 8 9 10 11 11 11 10 8 7 6 7 9 10 11 11 10 9 8 8 9 11 12 11 11 10 8 7 7 7 7 7 7 7 8 6 4 4 5 6 7 8 9 9 8 8 7 7 7 6 7 8 8 8 8 8 7 6 8 9 10 8 7 7 6 6 6 6 6 7 7 7 8 7 6 4 2 1 1 1 2 3 4 5 6 7 6 6 5 5 6 7 8 8 9 8 8 8 9 9 10 10 11 11 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 15 15 16 16 16 16 nan
nan 9 9 9 9 8 8 8 7 6 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 7 8 8 9 10 10 10 8 7 7 8 9 10 10 10 8 7 7 7 8 9 10 11 10 10 9 8 9 10 12 12 12 11 10 10 9 8 8 8 7 8 8 8 6 4 4 6 7 8 9 9 9 8 7 7 7 7 6 7 7 8 8 8 8 7 7 8 9 9 8 7 6 6 7 6 6 6 6 7 8 9 9 8 6 4 3 1 1 1 3 4 6 7 7 6 5 4 5 6 7 8 8 8 8 8 8 9 10 11 11 12 13 13 14 14 14 13 13 13 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 9 10 11 12 12 13 13 14 14 14 14 nan
nan 9 9 10 9 9 9 8 8 7 7 8 8 8 8 8 9 9 8 7 7 6 6 6 7 7 7 8 7 7 8 9 9 10 11 11 9 8 7 7 8 9 9 9 8 7 7 7 9 10 10 10 9 9 9 9 10 11 12 12 12 11 11 10 9 8 8 8 8 9 9 8 5 4 5 6 8 8 9 9 8 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 7 7 6 6 7 8 8 9 9 8 7 7 6 4 2 1 3 5 8 9 8 6 4 3 3 5 7 8 9 8 8 8 9 10 11 12 13 14 14 15 14 14 14 13 13 12 12 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 6 7 7 8 9 10 11 11 12 12 12 nan
nan 9 9 10 10 9 10 9 9 8 8 8 8 8 7 8 9 9 9 7 7 6 6 6 7 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 8 8 8 8 7 7 7 7 8 10 10 9 9 9 9 9 10 11 12 12 11 11 10 9 8 9 9 9 9 9 8 6 4 4 6 7 9 9 9 9 8 7 6 6 6 7 7 8 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 6 6 7 8 8 9 9 8 7 7 7 7 6 4 3 5 7 11 11 9 5 2 -0 1 6 8 9 9 9 9 9 10 11 13 14 15 15 15 15 14 13 13 12 12 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 6 7 7 8 9 10 10 10 nan
nan 9 9 9 9 10 10 9 9 9 8 8 8 7 7 8 9 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 9 9 10 11 11 10 10 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 10 11 11 11 10 10 9 8 8 10 11 11 9 7 5 2 2 4 7 9 10 10 9 8 7 7 6 6 6 7 8 8 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 9 9 8 9 8 7 7 7 7 7 7 7 7 7 9 11 11 8 2 -4 -5 0 6 8 9 10 9 10 11 13 14 15 16 17 16 15 14 13 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 6 7 7 8 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 9 8 7 6 6 7 7 8 7 7 8 8 8 8 9 10 10 10 10 10 11 11 10 9 8 7 7 7 8 8 7 8 8 9 10 10 10 10 11 11 10 9 8 8 8 10 12 13 12 10 5 1 -0 1 4 8 10 11 10 8 7 6 6 6 6 6 7 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 8 7 6 6 7 8 8 8 9 9 8 3 -5 -10 -7 1 6 9 10 11 11 11 13 16 17 18 18 17 16 14 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 9 9 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 11 11 10 9 8 7 8 9 8 7 7 8 9 10 11 11 11 11 10 9 8 8 8 9 10 12 13 12 8 2 -2 -1 1 5 9 11 10 9 8 6 6 6 7 6 7 7 8 8 8 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 7 6 6 7 8 8 8 8 8 5 -2 -9 -11 -3 4 8 10 11 12 12 13 16 18 20 20 18 16 13 12 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 6 7 7 7 7 8 8 8 nan
nan 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 10 11 10 8 7 6 6 6 6 7 7 8 8 7 7 8 8 8 8 8 8 9 10 11 10 9 8 8 9 10 8 7 7 7 8 9 11 11 11 11 10 9 8 8 8 9 10 11 11 8 3 -1 -3 -0 4 8 11 11 9 8 6 6 6 6 6 6 6 7 8 9 8 8 7 7 6 6 6 7 8 8 8 8 8 8 9 9 8 8 7 8 8 7 7 7 7 6 6 7 7 7 8 8 7 2 -5 -9 -5 4 9 11 12 12 12 13 15 17 18 19 17 15 12 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 nan
nan 10 9 8 8 8 9 9 9 9 9 9 9 9 8 7 7 8 10 11 10 9 7 6 6 5 6 6 7 7 7 7 7 8 8 8 8 7 8 9 10 10 10 9 9 9 10 10 9 8 7 7 7 8 9 11 11 11 10 9 9 9 9 9 9 9 8 5 1 -1 -0 3 8 11 12 11 9 7 6 5 6 6 6 6 7 8 9 9 9 8 7 7 6 6 6 7 7 7 8 8 8 8 9 9 8 7 7 8 8 7 7 8 7 7 6 7 7 7 8 8 6 1 -4 -4 4 11 13 13 12 12 13 13 14 15 15 14 12 10 9 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 nan
nan 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 7 8 10 10 10 9 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 7 7 7 9 11 11 11 10 10 9 9 8 8 7 6 4 2 2 4 8 12 14 14 11 8 6 6 6 7 7 6 6 7 8 9 8 8 7 7 6 6 6 7 7 7 8 8 9 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 3 1 5 13 17 15 13 11 11 11 11 11 11 10 9 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 nan
nan 9 9 8 8 8 9 9 9 10 9 9 9 8 8 8 8 9 9 10 10 9 8 7 7 6 6 6 7 7 7 7 7 8 8 9 9 9 8 7 7 8 8 9 9 9 10 10 9 9 8 8 9 9 8 8 9 10 10 10 10 9 9 8 7 7 6 5 4 5 7 10 13 14 12 9 6 5 6 7 8 8 7 7 7 8 8 7 7 6 6 6 6 7 7 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 7 8 8 7 8 12 16 17 14 11 9 8 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 nan
nan 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 7 7 6 6 6 7 8 7 7 7 8 9 10 9 7 7 7 7 7 8 8 9 10 10 10 8 8 8 10 10 9 8 8 8 8 8 9 9 9 8 7 6 6 6 6 7 9 12 13 12 9 6 5 6 7 8 9 9 8 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 6 6 7 7 7 7 7 8 9 9 9 11 13 13 12 9 6 2 -1 -2 -1 1 2 3 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 7 7 6 6 6 7 7 8 7 7 8 9 9 9 7 7 7 8 8 7 8 9 10 10 9 8 8 9 10 11 10 9 8 7 7 7 7 8 8 7 7 6 7 7 7 8 10 11 10 8 6 4 6 8 9 9 9 9 8 7 6 7 7 6 7 7 8 7 6 6 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 8 7 7 8 9 9 8 9 9 10 10 8 4 -2 -7 -9 -4 1 3 4 5 5 4 4 4 5 5 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 nan
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nan 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 9 8 8 8 8 9 9 8 8 6 6 6 6 7 8 8 8 7 7 7 7 7 8 9 10 11 11 11 11 11 11 12 12 12 11 11 10 11 11 10 10 10 10 10 10 9 8 8 9 10 10 10 10 10 9 9 10 10 11 11 10 9 8 8 7 7 8 9 9 9 8 7 8 9 11 11 12 12 12 12 11 11 11 11 10 8 5 2 1 5 11 14 16 16 16 15 14 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 nan
nan 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 11 11 10 9 9 8 8 8 8 8 8 7 6 6 6 6 7 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 10 10 11 10 9 9 9 8 9 10 10 10 10 10 10 9 8 8 9 10 11 11 10 8 7 7 8 9 9 10 10 11 11 11 11 11 10 11 11 11 11 12 12 12 13 12 11 10 9 9 13 18 21 24 25 25 23 22 20 19 18 17 16 15 13 13 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 11 11 10 9 9 8 8 8 8 8 7 6 6 6 6 6 7 8 8 7 7 8 9 10 10 10 10 9 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 9 9 10 11 12 11 10 9 8 8 7 7 8 10 11 11 11 9 8 7 8 9 9 9 10 10 11 12 12 12 12 12 12 11 10 10 11 12 13 13 12 11 11 12 15 20 24 25 26 26 26 26 27 27 27 26 24 22 18 15 13 12 12 12 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 9 8 8 8 8 8 7 6 6 6 6 6 7 8 8 9 9 10 11 11 11 11 11 12 11 10 9 9 9 8 8 7 6 6 7 8 9 10 10 9 9 9 9 10 11 12 11 10 8 8 8 8 8 9 11 12 12 11 9 8 7 7 9 10 10 9 9 9 10 10 11 11 12 13 13 12 11 10 11 11 11 11 10 10 10 12 14 17 18 19 17 15 14 15 18 21 25 26 25 21 17 14 14 14 14 13 12 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 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 9 9 9 9 10 10 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 10 9 9 8 8 8 8 8 7 6 6 6 7 7 8 9 10 10 10 11 11 11 11 11 11 11 11 10 9 9 8 7 6 5 5 6 8 10 11 12 11 11 10 10 10 9 9 9 9 8 8 9 10 11 12 14 15 14 12 10 8 7 7 8 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 9 9 9 10 10 11 12 12 12 11 8 6 3 2 3 5 8 10 10 9 8 12 16 19 16 13 11 11 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 13 13 12 12 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 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 11 11 11 11 11 11 10 9 9 8 8 8 8 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 7 6 5 6 8 10 11 12 12 12 11 11 11 9 8 8 7 8 9 10 12 13 14 15 15 15 14 11 9 8 8 8 9 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 10 11 12 12 12 11 11 10 10 9 6 2 -0 -1 -2 -3 -2 3 9 15 16 13 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 13 12 12 nan
nan 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 11 11 12 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 12 11 11 11 11 11 11 10 10 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 10 10 10 9 9 9 10 11 11 10 8 7 7 8 9 10 11 11 11 11 11 11 10 9 8 8 8 9 11 13 14 14 14 13 13 12 11 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 11 12 12 13 13 14 16 18 19 19 16 13 10 8 6 8 12 15 16 13 12 13 13 13 12 11 11 11 11 11 11 12 13 15 16 15 14 14 14 13 13 12 12 12 nan
nan 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 11 11 10 10 9 8 8 8 7 7 7 7 7 7 7 6 4 3 2 2 3 4 6 8 10 10 10 10 10 10 10 11 11 9 7 7 8 10 10 11 11 11 11 10 10 10 9 8 8 9 10 12 13 14 14 13 12 11 10 9 8 7 7 8 8 8 8 7 7 7 7 7 8 7 8 8 9 8 9 9 9 9 10 10 10 9 8 8 8 9 11 12 13 14 15 16 18 21 24 26 27 26 25 26 28 30 30 26 23 22 22 21 20 18 16 15 14 13 13 14 18 22 24 22 18 15 14 13 13 12 12 11 11 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 11 11 10 10 9 8 8 8 8 8 8 7 5 3 0 -3 -6 -7 -6 -3 1 3 6 8 9 9 10 11 11 10 10 10 9 7 7 7 9 11 12 12 11 11 10 10 9 9 9 9 10 11 13 14 14 14 13 12 11 10 9 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 12 13 13 13 13 14 16 20 24 27 29 30 32 34 35 34 31 30 30 29 28 28 27 25 22 20 19 19 20 24 27 26 22 18 14 13 12 12 12 12 11 11 nan
nan 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 8 6 5 7 9 10 11 12 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 9 9 8 8 8 8 5 1 -3 -7 -10 -13 -13 -10 -6 -2 0 2 3 4 5 7 9 11 10 9 9 8 7 6 6 8 10 11 12 12 11 10 9 9 9 10 10 11 12 13 13 13 13 12 11 10 10 9 8 7 6 6 5 5 5 6 6 6 6 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 12 12 13 13 13 13 13 14 15 17 19 21 22 23 24 24 23 22 22 23 24 26 28 29 28 27 28 28 28 26 25 22 18 16 16 16 16 15 14 13 12 11 11 nan
nan 10 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 7 2 -2 -5 -3 3 7 10 12 13 14 13 13 13 13 12 11 11 10 10 10 10 10 11 11 12 12 11 11 11 10 10 9 8 8 7 7 4 -1 -7 -11 -12 -12 -10 -7 -3 0 3 3 2 1 2 4 6 9 9 6 5 5 5 4 4 6 8 10 10 11 11 10 9 9 9 10 11 12 13 13 13 13 12 11 10 10 9 9 8 7 6 5 4 4 4 5 6 6 6 6 7 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 13 14 14 14 14 13 13 13 13 14 14 14 14 12 11 11 12 13 15 17 19 20 22 26 29 31 30 28 24 20 17 17 20 23 23 21 18 15 12 10 10 nan
nan 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 6 0 -7 -11 -12 -5 3 8 11 14 15 15 14 14 14 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 7 6 5 0 -5 -9 -9 -7 -4 -0 3 5 6 6 5 5 5 5 6 6 6 4 -1 -2 -1 -0 2 3 6 8 8 8 8 8 8 8 9 10 11 12 12 13 13 12 12 11 10 10 9 9 8 6 5 5 4 4 4 4 5 5 5 5 6 8 10 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 13 14 16 17 17 16 16 15 14 13 13 12 11 11 11 10 10 9 8 8 8 8 9 10 11 11 12 15 19 21 23 24 25 24 23 21 20 20 20 19 17 14 11 9 8 8 nan
nan 10 11 11 10 10 10 10 10 9 9 9 8 9 9 9 10 10 10 10 10 10 9 7 2 -6 -11 -12 -9 -1 5 9 13 16 16 15 14 15 15 14 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 7 6 4 0 -2 -2 1 4 6 8 9 9 8 7 7 6 7 7 6 6 4 -0 -4 -5 -4 -3 -0 3 5 6 6 6 6 6 7 8 9 10 11 11 12 12 12 11 11 10 10 9 9 8 6 5 3 3 3 3 4 5 6 5 5 6 9 11 11 10 9 9 10 9 9 9 9 9 10 10 10 10 11 11 12 13 16 18 19 19 19 16 14 13 11 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 11 13 14 14 15 17 19 19 15 10 5 2 2 3 3 4 6 7 7 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 10 10 9 9 9 8 4 -2 -8 -10 -8 -3 3 7 10 13 16 17 17 18 18 16 13 11 11 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 9 9 8 7 5 5 6 8 12 14 15 15 15 14 10 8 6 6 6 7 6 5 4 1 -1 -1 -1 -0 0 1 2 2 3 5 7 7 7 8 8 8 8 9 10 10 10 10 10 9 9 9 8 7 5 3 1 0 1 3 5 6 7 7 8 11 13 12 10 8 7 8 9 9 9 9 10 10 10 10 11 11 12 12 13 14 16 17 18 18 17 14 12 10 9 7 7 6 6 7 8 8 8 9 9 9 9 10 10 10 10 11 11 12 11 11 11 12 12 10 5 -1 -6 -7 -6 -3 0 3 6 7 8 nan
nan 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 6 2 -5 -8 -8 -4 0 5 8 10 12 14 18 21 23 22 18 13 12 12 13 13 13 12 12 12 11 10 9 9 9 9 9 9 9 10 9 8 7 8 9 11 14 17 19 20 20 19 16 11 8 7 7 7 7 7 6 5 5 5 5 5 5 4 2 2 2 3 6 7 7 7 7 7 6 6 7 8 8 8 9 9 9 9 8 7 5 3 2 2 3 4 5 6 7 9 10 12 14 13 11 8 7 7 8 9 9 10 10 11 11 11 11 11 12 12 12 12 12 13 13 13 14 12 11 10 9 7 6 5 6 6 7 8 9 10 11 11 10 10 10 10 10 11 12 12 12 11 10 10 9 7 3 -2 -5 -4 -2 1 3 5 7 8 8 8 nan
nan 11 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 7 6 -0 -6 -8 -6 -3 2 6 9 10 11 13 18 24 26 24 18 14 13 14 14 13 12 12 12 12 11 10 9 9 9 8 8 8 9 9 9 8 8 9 10 11 13 16 16 16 14 12 10 9 9 11 11 10 9 8 7 7 7 7 8 8 8 7 6 6 6 6 6 4 2 2 3 4 5 6 7 7 7 8 8 9 9 8 7 5 4 3 4 6 8 9 9 9 10 11 13 13 13 11 10 8 8 8 8 9 10 10 10 11 12 11 10 9 9 9 10 10 9 8 8 9 9 8 8 8 7 7 7 7 7 8 9 10 11 12 13 12 11 11 10 10 10 11 11 12 11 9 8 7 4 -0 -5 -7 -6 -1 4 6 8 8 9 9 9 9 nan
nan 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 7 3 -4 -7 -7 -5 -1 3 7 9 10 11 12 17 22 27 25 20 17 15 14 13 12 11 11 11 11 11 10 9 9 8 8 7 8 8 9 8 8 9 9 9 10 11 11 10 6 1 0 2 6 11 14 14 13 11 10 9 9 8 9 9 9 10 10 9 9 9 8 6 3 -0 -1 1 2 4 6 6 7 7 8 8 8 7 6 5 4 4 6 8 10 10 10 9 9 11 12 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 7 6 6 7 7 7 7 6 6 7 7 6 6 6 6 7 8 9 10 11 11 12 13 14 13 12 12 11 11 10 10 11 11 11 10 8 6 3 -3 -8 -10 -8 -3 3 6 8 9 9 9 9 10 10 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 7 1 -6 -7 -6 -4 -0 4 7 9 10 11 11 15 21 26 27 23 20 16 14 12 11 11 11 11 11 11 10 9 9 8 8 7 7 7 8 8 8 9 9 9 9 10 8 4 -3 -6 -4 1 8 13 14 13 13 13 13 12 11 11 11 10 11 11 11 12 11 11 10 9 7 5 4 3 3 4 4 5 6 7 8 7 5 4 4 3 4 5 7 7 7 6 5 6 8 9 10 8 7 8 9 10 10 11 12 13 12 11 11 11 10 9 7 6 7 7 8 8 7 7 7 7 6 6 5 5 5 6 8 10 11 12 12 12 13 14 13 13 12 11 11 11 11 10 11 10 10 9 9 7 2 -3 -5 -3 -0 5 8 9 10 10 10 10 10 10 10 nan
nan 9 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 6 0 -4 -6 -5 -3 1 5 7 9 10 11 11 14 19 24 27 26 21 16 13 11 11 11 12 12 12 11 10 10 9 9 8 8 8 7 7 8 8 8 8 9 10 9 7 2 -1 0 5 11 15 16 13 12 13 14 15 15 15 15 15 15 15 16 16 16 17 17 16 14 13 11 9 8 7 6 5 4 5 6 6 5 4 3 3 3 3 4 5 5 4 4 5 7 9 10 10 8 8 9 10 9 9 10 11 11 12 13 13 13 11 8 8 8 10 11 10 10 9 8 7 6 5 5 5 5 6 9 11 12 12 13 13 13 13 13 13 12 12 11 10 10 10 9 10 9 9 9 9 9 7 7 8 10 11 12 11 10 10 10 10 10 10 10 10 nan
nan 8 8 9 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 10 9 7 2 -2 -4 -4 -2 1 5 8 9 11 11 11 13 17 22 27 26 21 17 13 11 11 11 12 13 12 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 7 6 8 13 17 20 20 16 12 11 12 13 14 17 19 20 20 21 22 22 23 23 25 25 23 19 15 13 12 11 11 10 8 7 6 5 5 6 7 7 7 6 6 6 6 6 6 8 11 13 14 14 12 12 13 13 12 11 10 9 9 10 12 13 13 11 9 7 7 8 9 10 10 9 8 6 5 4 4 5 7 8 10 12 13 13 13 13 12 12 12 12 12 12 12 11 10 9 8 8 8 8 9 9 9 10 13 16 19 17 15 12 10 10 10 10 10 10 10 10 10 nan
nan 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 10 10 8 4 -1 -5 -5 -3 1 5 8 10 11 11 11 12 15 20 26 27 23 19 15 12 11 11 12 12 12 11 11 10 9 8 8 9 9 9 8 8 8 8 8 8 9 9 9 11 14 17 19 18 16 12 10 10 10 11 12 14 16 18 19 21 22 23 24 26 27 25 23 20 18 17 17 18 18 18 17 14 11 9 8 10 12 12 12 11 10 9 9 9 11 13 15 16 15 14 14 15 16 16 14 12 11 10 10 11 12 12 10 7 6 6 6 6 6 7 8 8 6 5 4 5 7 9 10 12 13 14 14 14 13 12 11 11 11 11 12 12 11 10 9 8 8 8 8 8 9 10 10 12 14 17 15 12 9 7 7 8 9 9 9 9 10 10 10 nan
nan 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 8 3 -4 -7 -7 -4 1 5 8 10 11 11 11 12 13 20 28 30 27 21 15 12 12 12 12 11 12 12 11 9 7 7 8 9 10 10 9 8 8 8 8 8 8 9 10 11 12 13 12 11 9 7 7 8 9 9 9 9 10 11 12 14 15 16 18 19 18 17 17 18 20 22 23 25 27 27 26 23 21 20 20 20 18 17 14 12 11 10 10 11 12 13 13 13 12 13 14 16 16 15 13 11 10 8 9 10 9 8 5 4 6 7 7 7 7 8 8 8 7 6 8 10 12 13 14 15 15 15 14 13 12 11 10 10 10 10 11 10 9 9 9 8 8 8 8 9 10 10 12 13 13 12 7 4 3 4 7 9 9 9 10 10 10 10 10 nan
nan 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 7 0 -5 -7 -6 -3 2 5 8 10 10 11 11 11 14 22 31 32 29 21 14 11 12 12 11 12 12 12 11 8 7 7 9 10 11 11 10 9 8 8 8 9 10 10 10 10 10 9 7 5 3 2 2 4 5 6 6 7 7 7 8 9 10 11 12 12 11 11 13 15 17 20 23 25 28 28 27 26 26 27 27 24 20 16 13 10 9 9 10 11 11 12 11 11 11 12 13 14 12 10 9 7 7 7 8 8 7 6 5 7 8 10 10 10 10 10 10 9 10 12 13 15 15 15 15 15 15 15 13 12 11 10 9 8 8 8 9 9 9 9 8 8 9 9 9 10 10 11 11 12 11 9 7 7 6 8 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 10 10 10 9 10 9 9 8 8 9 9 9 5 -1 -4 -6 -5 -2 2 5 8 9 10 10 10 12 17 26 32 32 27 18 11 11 11 12 12 12 13 12 10 9 8 8 9 11 11 11 10 9 8 9 9 10 11 11 11 10 10 8 6 2 -3 -5 -4 -1 3 5 6 7 7 8 8 9 10 10 10 10 10 11 12 12 13 15 18 20 20 20 19 19 19 20 19 17 14 10 9 8 8 8 9 10 11 12 11 10 10 10 10 9 6 5 5 5 5 7 9 9 9 9 10 11 12 12 12 12 13 14 14 14 16 17 18 18 16 15 14 14 13 13 12 11 10 9 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 10 11 12 14 15 14 12 10 10 10 10 10 10 10 10 nan
nan 10 9 9 9 9 9 8 9 10 10 10 10 10 10 9 9 8 8 8 8 4 -2 -5 -6 -5 -2 2 5 7 9 9 10 10 13 21 30 33 31 23 14 11 11 11 11 12 12 12 11 10 9 8 8 10 11 11 10 10 9 9 9 10 10 11 11 11 10 10 9 6 -1 -7 -8 -7 -2 2 5 7 9 9 10 11 11 11 11 11 11 12 13 12 12 12 13 15 14 12 9 7 5 6 7 7 6 5 5 6 6 7 9 10 10 9 9 7 5 4 3 3 2 1 3 4 6 7 10 12 14 14 14 15 15 15 15 15 15 16 17 18 18 17 17 17 16 15 14 13 12 11 12 12 11 10 8 8 7 8 9 9 10 10 9 9 9 10 10 11 11 11 11 11 11 11 13 16 17 18 17 14 12 11 11 11 10 10 10 10 nan
nan 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 9 8 3 -1 -4 -5 -4 -1 1 4 6 8 9 9 12 17 26 33 32 26 18 12 11 11 11 11 11 10 10 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 11 11 10 10 9 8 3 -3 -7 -7 -6 -1 3 6 9 11 12 12 12 12 12 12 13 13 14 13 12 12 13 14 13 9 5 0 -3 -5 -3 -1 -0 1 1 1 2 4 6 7 7 5 2 -1 -4 -6 -5 -4 -4 -4 -2 1 5 8 11 14 16 16 16 17 17 18 18 17 17 17 17 17 16 14 13 13 13 12 12 12 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 9 10 9 10 11 11 11 11 11 11 10 11 12 14 16 18 18 16 14 12 12 11 11 11 11 11 nan
nan 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 8 9 8 5 2 -1 -3 -2 -1 0 3 5 7 8 9 13 21 30 32 27 19 14 11 11 11 12 11 10 9 8 8 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 7 1 -4 -6 -6 -3 2 7 10 12 14 13 13 13 13 13 14 14 14 14 13 12 12 13 13 11 7 3 -1 -2 -1 -1 -0 0 0 -1 -1 -0 2 3 2 -0 -3 -6 -8 -8 -7 -5 -4 -5 -4 -3 0 4 7 10 12 13 14 15 16 17 17 17 17 17 17 15 13 11 10 9 9 10 10 11 11 11 11 10 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 14 18 19 18 17 14 12 12 12 11 11 11 nan
nan 9 9 8 9 9 9 10 10 10 10 10 10 9 9 8 8 7 8 8 8 7 5 1 -1 -2 -2 -0 2 4 7 7 10 14 23 30 28 22 15 12 10 10 11 11 10 9 9 9 10 12 13 12 12 12 12 12 12 12 10 8 7 7 7 7 8 8 9 9 5 -1 -5 -6 -4 1 5 9 12 15 15 15 14 14 14 14 14 14 14 13 12 12 13 13 13 11 10 9 8 8 8 7 6 5 4 4 4 4 5 4 1 -1 -3 -4 -3 -1 1 3 3 3 2 2 4 5 6 6 5 7 11 15 16 16 14 14 13 13 12 11 9 9 8 8 9 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 11 14 17 19 20 19 16 14 13 12 12 11 11 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 8 6 2 -0 -2 -2 -1 0 4 6 7 9 14 23 29 25 19 14 11 10 10 10 10 10 9 10 11 12 13 12 11 11 11 12 12 11 8 3 0 0 1 3 5 7 9 9 8 3 -2 -6 -6 -2 3 6 9 12 17 19 18 17 16 16 15 15 14 13 12 12 12 12 13 13 13 14 15 14 13 13 12 11 11 11 11 12 12 12 9 7 5 4 5 6 7 8 9 9 10 10 10 10 8 6 5 6 11 16 18 17 14 12 11 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 11 12 12 12 14 15 17 20 20 18 16 14 13 13 12 12 nan
nan 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 9 8 6 3 1 -1 -2 -2 -0 3 5 6 8 13 22 26 24 19 14 11 10 9 9 9 9 9 10 11 11 11 11 10 10 10 11 11 8 2 -5 -8 -7 -3 2 6 9 10 10 7 1 -4 -6 -5 0 4 6 9 15 21 22 21 19 17 16 15 15 14 13 12 12 11 12 12 13 14 14 13 13 13 14 14 14 15 16 16 16 16 15 13 11 10 9 10 10 10 11 12 14 15 16 15 13 11 9 10 14 20 22 20 15 11 10 9 9 10 10 10 10 10 9 10 9 9 9 9 9 9 9 10 11 12 13 14 13 12 11 11 11 11 11 12 12 12 11 10 10 10 10 11 12 13 13 14 14 14 13 13 16 19 21 20 19 19 19 18 16 15 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 5 2 -0 -2 -3 -1 1 4 5 7 12 21 24 24 20 15 11 10 9 9 9 8 9 9 10 11 11 10 10 10 10 11 10 7 0 -6 -7 -5 -1 5 9 9 9 8 4 -1 -6 -7 -3 2 4 7 11 18 23 23 21 19 16 15 15 14 13 12 12 12 12 12 12 13 12 12 10 11 12 13 14 16 18 19 18 18 18 17 16 14 13 12 12 13 14 16 18 21 22 20 17 14 12 12 15 19 21 21 17 11 9 8 8 9 11 11 11 10 10 10 10 10 9 10 10 10 10 10 11 12 13 14 14 13 11 10 10 10 11 11 12 11 11 10 10 10 11 11 12 13 14 14 14 14 14 13 13 15 18 20 23 26 27 27 26 24 21 nan
nan 10 10 9 9 10 10 10 9 9 10 10 11 11 10 10 10 10 10 9 9 8 8 6 4 1 -2 -3 -2 1 3 5 6 11 18 22 24 23 16 12 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 9 5 2 2 2 4 8 8 6 4 2 -3 -7 -9 -6 -1 4 6 8 13 20 23 23 21 18 16 15 14 14 13 13 12 12 11 11 12 12 11 10 10 10 10 11 13 15 17 17 17 18 18 18 17 16 16 16 17 19 22 25 27 28 26 21 16 13 12 13 16 18 20 20 15 12 10 9 10 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 12 11 11 10 10 10 11 11 11 11 10 10 10 10 11 11 12 13 13 14 14 14 13 13 13 13 15 18 23 27 30 30 29 29 29 nan
nan 10 9 8 8 9 9 9 9 9 10 11 11 11 11 11 10 10 10 9 9 8 8 7 5 1 -1 -3 -3 -0 3 5 6 10 15 21 26 24 17 13 11 10 9 9 9 9 9 9 9 9 10 12 13 12 11 11 10 9 10 9 7 7 7 4 1 -1 -5 -8 -9 -7 -2 3 6 9 11 15 21 23 23 21 17 15 14 14 14 13 12 12 11 10 11 11 12 12 11 10 10 10 11 11 12 12 11 12 14 15 16 16 16 17 18 20 24 27 27 27 26 23 17 14 12 13 15 18 22 24 23 19 15 13 13 14 14 12 11 9 9 9 9 10 10 10 10 10 9 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 9 10 10 10 11 11 11 11 12 13 12 13 12 12 12 12 15 18 20 22 23 25 27 30 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
115 111 110 114 120 131 151 170 181 170 162 160 165 174 173 157 130 108 87 68 53 44 36 29 20 12 7 4 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 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 4 14 30 33 46 75 83 101 123 150 181 198 197 186 177 173 172 177 187 216 243 293 380 450 431 317 251 226 231 249 265 277 284 288 281 275 277 276 272 268 253 246 261 270 270 258 266 295 310 309 318 312 359 378 387 385 378 495 636 822 990 1101 1189 1265 1286 1404 1400 1400 1390 1350 1319 1317 1293 1243 1216 1175 1129 1084 1028 967 901 834 734 702 671 658 674 753 889 935 903 898 912 935 943 919 875 815 759 711 672
127 131 136 142 147 154 172 179 187 180 172 170 172 170 148 108 69 47 31 22 16 12 11 10 7 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 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 10 31 39 30 40 57 82 98 130 205 260 241 182 155 149 151 155 166 193 224 260 323 439 407 295 242 231 238 246 246 246 239 234 226 218 214 212 209 211 212 218 224 231 243 249 246 249 261 290 336 341 359 383 386 359 339 443 485 573 676 732 753 802 868 1052 1143 1269 1356 1339 1269 1221 1242 1217 1219 1234 1234 1202 1135 1035 966 936 851 792 742 681 641 658 754 778 803 830 851 882 903 916 936 897 847 799 755
148 151 152 151 153 162 177 189 196 188 175 162 144 118 83 45 25 13 6 2 1 0 1 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 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 9 20 21 15 16 29 49 64 100 169 207 182 151 128 122 129 136 148 172 205 236 244 375 355 312 298 296 280 258 238 226 215 208 200 192 187 185 182 182 186 201 212 220 237 260 267 251 251 277 331 375 420 463 454 415 393 430 463 515 553 516 433 452 572 690 805 974 1135 1231 1284 1282 1224 1187 1245 1323 1330 1257 1136 1018 1013 960 876 816 772 734 706 639 672 795 889 900 884 846 832 861 924 941 920 883 837
164 164 158 153 158 175 189 198 194 176 152 126 94 58 33 12 5 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 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 6 15 19 12 6 19 40 58 83 113 129 120 107 104 106 112 122 136 157 185 223 221 293 336 384 426 402 320 264 235 218 204 195 185 177 170 167 166 166 170 190 209 221 236 262 290 281 273 285 324 383 457 527 489 462 417 408 447 526 587 516 459 498 473 469 538 670 812 911 959 1022 1166 1212 1215 1211 1223 1295 1280 1200 1108 988 870 809 849 858 816 735 700 683 712 809 822 814 844 866 903 928 939 937 901
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