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 1 0 -0 -0 -2 -2 -0 2 3 1 -1 -1 4 13 23 31 31 27 22 17 14 12 10 9 8 8 7 7 7 7 7 7 8 8 8 7 6 6 6 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 10 11 12 12 13 13 11 10 8 6 5 5 6 7 8 9 9 10 10 10 11 12 12 11 10 10 9 9 9 11 15 17 17 14 15 17 17 16 16 19 22 19 15 13 12 11 10 9 8 8 11 12 13 13 14 15 15 14 11 8 5 5 7 7 7 8 9 9 10 10 10 9 8 7 7 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 7 7 nan
nan 12 8 4 1 -1 -2 -2 0 2 1 -1 -3 -1 8 20 29 32 30 24 19 15 12 10 9 8 8 8 7 7 7 7 8 8 9 8 7 7 6 6 5 5 6 7 8 8 8 8 8 7 8 9 10 11 11 11 12 12 12 13 14 15 15 15 13 12 9 7 6 7 7 7 8 8 8 7 7 7 8 8 8 8 9 10 11 11 12 13 14 15 16 14 12 12 14 14 13 12 15 20 18 16 15 15 15 12 10 8 8 10 11 12 12 12 13 15 15 12 8 4 3 4 5 6 7 8 9 10 11 10 8 7 7 8 8 8 8 8 8 8 9 10 11 12 12 11 10 10 9 9 8 8 7 8 9 9 9 9 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 7 nan
nan 25 20 12 5 1 -2 -2 -1 1 1 -1 -3 -1 6 15 23 27 27 24 20 16 13 10 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 5 5 5 5 6 7 9 9 9 8 7 8 9 10 11 12 13 13 14 14 14 14 14 14 13 11 10 8 7 7 8 8 8 9 9 8 6 4 5 7 7 6 6 8 10 11 12 13 14 15 15 15 13 10 10 11 11 11 11 13 14 14 14 14 15 14 13 10 8 8 9 11 12 11 10 11 13 14 12 9 7 5 5 5 5 6 7 8 10 11 10 8 7 7 8 9 9 8 8 8 8 9 11 14 15 15 13 11 10 10 9 9 8 8 8 9 9 9 11 12 12 11 10 10 9 8 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 nan
nan 31 28 22 15 9 3 1 -0 1 1 -1 -2 -2 1 7 14 19 23 24 23 19 14 11 9 8 8 8 8 8 8 8 7 7 8 9 8 6 5 5 5 5 6 6 7 9 11 10 9 8 9 9 10 11 12 14 15 15 15 14 12 12 11 10 9 8 7 7 8 9 9 9 10 10 9 7 5 6 7 7 7 6 7 10 11 11 12 13 14 14 13 12 10 10 10 10 10 10 11 11 11 12 13 14 14 12 10 8 7 8 10 12 12 10 9 10 10 10 9 8 8 7 6 5 6 7 8 9 10 10 9 9 8 8 9 8 7 7 7 8 9 11 14 16 16 14 12 12 11 11 11 10 9 9 9 9 10 11 12 12 12 11 11 11 10 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 nan
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nan 11 13 16 19 22 25 25 23 20 17 14 11 7 4 5 7 11 16 21 22 19 16 12 10 9 11 12 12 9 8 7 8 9 11 12 11 9 7 6 7 9 9 9 8 9 11 13 13 13 12 12 12 11 10 9 8 7 8 8 7 7 9 9 9 8 7 7 6 6 6 6 6 6 6 7 6 5 5 5 5 6 7 7 7 8 10 12 11 10 9 8 9 9 10 10 9 8 9 9 10 10 11 12 12 12 11 11 11 11 11 11 12 13 12 11 10 9 8 7 7 6 6 6 7 8 9 10 11 12 12 13 14 15 13 9 6 4 3 4 6 8 8 9 11 13 14 14 14 13 12 11 10 10 11 12 13 12 10 8 4 3 3 5 7 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 8 7 8 8 9 9 nan
nan 8 9 10 12 15 18 20 21 20 19 17 15 11 7 5 6 10 14 16 17 15 13 10 9 9 11 13 13 11 9 8 8 10 12 13 12 10 8 7 8 9 9 8 9 10 12 14 13 11 9 8 7 6 5 4 3 3 4 3 3 3 3 3 3 4 4 3 2 2 3 5 6 6 6 6 6 5 4 4 4 5 5 5 6 9 11 12 12 11 9 8 8 9 9 10 9 9 8 9 9 10 11 12 12 12 12 13 13 12 10 9 10 11 10 10 9 9 7 6 6 6 6 6 7 7 9 10 11 11 12 13 14 14 12 10 8 6 5 5 7 7 8 8 10 13 15 14 13 12 12 11 11 11 13 14 14 12 10 6 3 2 4 6 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 nan
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nan 8 8 8 8 9 10 11 12 13 12 11 9 7 5 5 6 8 10 9 8 8 6 6 6 7 9 10 12 13 13 13 13 13 14 15 13 11 8 7 7 7 8 8 8 9 9 9 8 6 5 4 3 3 4 4 4 4 3 1 0 0 1 2 3 4 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 6 8 10 12 12 11 10 9 9 9 8 8 9 9 9 9 9 9 10 11 12 12 12 13 13 12 10 9 9 9 9 9 9 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 12 14 15 13 10 7 6 5 5 5 5 6 7 9 12 12 13 15 16 15 14 14 13 12 11 9 7 6 7 8 10 11 10 7 6 7 9 10 11 11 11 11 11 11 10 9 9 10 10 11 11 11 12 12 nan
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nan 7 6 6 6 7 7 7 9 10 11 11 10 7 4 3 4 5 5 4 4 4 7 9 11 12 12 13 13 14 16 16 17 16 15 12 10 10 11 11 12 13 13 14 13 12 11 12 12 14 15 16 15 15 13 11 7 3 2 3 5 5 6 6 7 8 7 6 4 3 3 4 4 5 6 6 7 7 8 7 6 7 9 11 11 9 7 5 4 5 6 7 8 10 11 11 10 11 11 12 12 12 11 11 10 10 10 10 10 9 9 10 10 10 10 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 11 12 12 11 10 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 9 10 11 12 13 14 14 13 11 8 5 3 3 3 4 5 6 7 6 5 5 5 6 6 nan
nan 7 6 6 6 6 7 8 10 12 12 12 10 8 5 4 4 4 4 4 4 5 7 8 10 11 13 14 15 15 16 17 17 18 17 13 11 10 10 10 10 10 11 12 12 11 11 12 13 14 15 15 15 14 12 8 5 3 4 5 7 7 7 7 7 7 6 5 5 5 6 6 6 6 6 6 7 7 6 5 4 4 5 7 7 7 5 3 1 2 4 6 7 9 10 11 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 9 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 13 14 14 13 11 8 6 5 5 5 6 7 7 7 6 5 5 5 6 nan
nan 7 6 6 6 7 8 10 12 13 13 12 10 8 7 7 6 6 6 6 6 7 8 8 10 12 14 16 17 17 16 16 17 19 18 14 10 9 8 8 8 9 10 10 9 9 10 10 11 11 11 11 10 9 8 5 4 5 7 8 9 9 8 8 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 4 3 3 2 2 3 3 2 1 0 1 4 6 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 12 13 12 10 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 7 8 8 9 9 10 10 9 9 11 12 13 13 12 10 8 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 7 7 7 8 10 11 13 14 14 13 12 11 10 9 9 9 7 7 8 9 10 10 10 11 13 15 17 17 18 16 16 17 19 18 14 10 8 7 7 7 7 9 9 8 8 9 9 9 9 8 8 7 6 6 5 6 7 9 11 11 10 9 8 8 7 7 7 7 7 7 8 7 7 6 6 6 7 7 7 6 5 5 5 4 4 4 4 4 3 2 3 4 5 6 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 8 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 12 12 11 9 8 9 9 8 8 9 9 9 9 9 10 10 10 10 11 10 10 10 9 8 7 7 8 9 9 9 9 8 8 8 9 10 11 10 9 8 8 8 7 7 7 7 7 7 6 6 6 6 nan
nan 7 7 8 9 10 12 14 15 15 13 12 11 11 10 10 9 8 8 9 11 12 12 12 13 13 14 15 16 17 16 15 17 18 18 14 10 8 7 7 7 8 8 9 8 8 8 9 9 8 7 6 6 6 6 7 8 9 11 11 11 9 8 7 7 6 6 7 7 7 8 8 8 8 8 8 9 10 9 8 8 8 9 9 8 7 7 7 7 6 5 5 4 4 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 7 8 8 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 6 5 nan
nan 8 8 8 9 10 11 13 14 14 12 11 11 10 10 9 8 7 8 9 11 12 12 13 13 14 14 14 15 15 13 14 17 19 19 15 11 8 7 7 7 8 9 9 9 9 9 8 8 7 6 6 6 7 7 8 9 10 10 9 8 7 7 6 6 5 6 7 8 9 10 11 11 11 11 13 14 14 13 11 10 10 10 10 9 9 8 7 7 7 7 6 6 5 4 4 4 5 6 6 6 6 7 8 8 8 8 8 8 8 9 9 10 9 8 7 6 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 8 7 7 7 7 7 6 6 nan
nan 8 8 8 8 9 10 11 12 11 11 10 9 9 9 8 7 7 8 9 10 11 13 14 14 14 14 14 14 12 12 14 18 22 23 20 14 8 6 6 7 8 9 10 9 9 9 8 7 7 6 6 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 9 11 12 13 13 14 14 14 16 17 16 14 12 10 9 9 9 9 8 7 7 7 7 7 7 7 6 5 4 4 5 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 7 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 5 7 8 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 nan
nan 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 7 7 8 9 10 12 14 15 14 14 14 14 13 12 12 14 18 23 27 26 18 9 6 7 7 8 9 9 9 9 8 6 6 6 6 6 6 7 8 9 10 10 9 9 8 8 8 8 8 9 10 11 12 13 13 14 14 14 14 14 14 13 12 11 10 9 9 9 8 8 7 6 6 7 7 7 7 6 5 4 4 5 6 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 4 3 4 6 7 7 7 7 7 7 6 6 7 8 8 8 7 7 7 7 7 7 8 8 8 8 9 8 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 10 10 9 8 7 7 nan
nan 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 8 9 10 12 13 14 13 13 13 13 13 12 13 15 18 23 26 26 18 11 8 8 8 9 9 9 9 8 7 5 4 4 5 6 7 8 8 9 10 10 10 10 10 9 8 8 9 10 12 12 12 12 12 11 11 11 11 10 9 8 7 8 8 9 8 8 8 7 7 6 6 6 7 7 7 7 6 5 5 5 7 9 10 10 9 8 8 7 7 7 6 5 5 6 7 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 9 9 9 7 6 6 6 6 6 6 6 7 6 6 5 5 7 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 7 7 nan
nan 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 10 11 12 12 12 13 13 13 13 14 15 18 20 21 20 15 11 8 7 8 9 9 9 9 8 7 5 4 4 5 6 8 9 9 9 10 10 11 11 11 10 9 9 9 11 12 12 11 10 9 8 9 9 9 8 6 5 5 6 7 8 8 8 7 7 6 6 6 6 7 7 7 7 7 6 5 6 8 10 11 10 9 8 7 7 8 8 7 6 5 6 8 9 9 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 8 7 7 7 7 8 8 8 7 6 6 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 nan
nan 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 12 12 13 13 14 15 16 18 17 16 14 11 8 7 6 7 8 8 9 9 8 8 7 6 6 7 7 8 9 9 9 9 10 10 11 11 12 12 11 10 10 10 10 9 8 7 7 7 8 8 7 7 6 7 7 7 8 8 7 7 6 6 6 6 7 7 7 7 8 7 6 6 6 8 10 11 11 10 8 7 7 8 8 9 9 8 7 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 7 8 8 9 9 10 9 8 7 7 9 10 10 9 8 7 8 9 10 10 10 9 9 8 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 nan
nan 9 9 9 8 8 9 9 8 8 9 9 9 9 9 9 9 8 8 8 9 10 10 10 11 11 12 13 14 14 15 17 18 16 14 11 8 6 6 6 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 12 13 12 10 9 8 9 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 7 6 6 7 9 11 11 11 9 8 8 8 9 10 11 10 9 8 7 7 7 7 7 8 7 8 8 9 9 9 8 7 7 7 8 8 7 8 8 8 8 7 8 9 10 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 nan
nan 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 12 13 14 15 16 17 17 15 13 11 8 7 7 7 8 8 9 10 10 10 9 9 9 8 8 7 8 8 9 9 10 10 9 9 9 10 10 9 8 7 8 9 11 11 12 12 11 11 10 10 9 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 7 7 7 8 10 10 11 10 10 9 8 8 9 10 11 11 9 8 7 6 7 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 7 7 8 9 9 8 8 9 10 10 10 9 9 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 10 10 10 nan
nan 9 9 9 9 8 8 9 9 9 9 10 9 9 9 9 9 8 8 8 8 9 9 10 11 11 12 13 14 15 16 16 16 14 12 11 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 11 11 11 10 10 9 9 8 7 7 8 10 11 12 12 11 10 9 9 10 11 12 12 11 11 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 7 7 7 7 8 8 8 8 8 7 7 6 6 7 8 8 9 8 8 8 8 9 9 9 8 9 9 10 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 11 12 12 11 11 11 11 10 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 9 10 11 11 12 12 13 14 15 15 15 13 12 11 9 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 11 12 12 12 12 12 12 12 11 10 9 8 9 9 11 11 11 10 8 7 7 8 10 11 13 14 14 12 11 10 9 9 9 9 8 7 7 7 7 7 7 8 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 5 6 8 9 10 10 9 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 11 11 12 13 13 14 14 14 13 13 11 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 11 12 13 13 13 13 13 12 12 11 11 11 11 11 11 10 9 8 8 7 8 9 10 10 11 12 12 11 10 10 10 11 11 10 9 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 9 10 10 9 8 8 7 7 8 9 10 11 10 10 10 10 10 9 9 9 9 9 9 9 7 6 7 8 9 10 10 9 9 9 9 9 8 8 7 7 6 7 7 7 8 8 8 7 7 7 8 8 7 6 6 7 7 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 10 10 11 12 12 13 13 14 14 14 13 12 11 10 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 12 13 13 13 13 13 12 12 12 12 13 13 12 10 9 9 9 9 10 10 10 10 9 8 8 7 7 7 8 9 10 10 9 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 9 9 9 10 10 10 10 10 10 10 9 8 7 8 9 10 10 8 7 7 8 8 9 8 8 8 8 8 8 8 7 7 7 6 6 5 6 7 8 8 8 7 8 9 9 7 6 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 8 7 7 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 9 9 10 10 11 12 12 12 13 13 13 14 13 13 12 11 10 10 10 10 10 11 10 10 9 9 9 9 9 10 10 10 11 12 12 12 12 12 12 12 12 13 14 14 13 12 11 10 10 11 11 12 11 10 8 7 6 5 5 5 6 6 6 8 9 11 11 10 9 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 9 8 7 6 7 8 8 7 6 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 10 10 9 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 6 6 7 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 9 10 10 11 12 12 12 13 13 13 13 13 12 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 14 14 13 13 12 12 11 11 10 10 9 8 7 6 7 7 7 6 5 6 8 10 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 8 7 6 7 7 7 7 6 7 8 8 7 7 8 8 8 8 7 6 6 8 9 10 11 10 10 10 10 10 9 8 7 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 8 7 6 6 6 6 7 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 11 12 12 13 13 13 13 13 12 12 11 11 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 12 12 12 12 12 11 11 10 8 7 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 9 8 7 6 7 7 7 7 6 7 7 8 8 7 7 8 8 9 9 8 7 7 8 9 9 10 10 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 5 4 5 6 nan
nan 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 11 12 12 13 14 14 14 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 8 7 7 7 8 8 9 9 9 8 7 7 8 9 9 9 8 7 7 8 9 9 9 8 8 8 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 6 5 4 4 5 nan
nan 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 9 10 11 12 13 14 14 14 14 13 13 12 11 10 9 9 9 9 8 8 8 9 9 9 10 10 10 9 9 8 8 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 9 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 9 7 7 7 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 8 8 7 6 6 6 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 4 4 4 4 nan
nan 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 10 11 12 13 14 14 14 13 13 13 12 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 8 9 9 9 9 9 10 10 11 12 11 11 10 9 10 10 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 8 7 7 7 7 7 6 6 8 9 9 9 9 8 8 8 8 8 8 8 9 9 8 7 6 5 5 6 8 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 5 5 4 4 nan
nan 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 13 13 13 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 9 9 11 11 12 11 10 8 8 8 7 7 7 7 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 7 7 7 7 6 5 6 7 9 9 9 9 8 8 8 8 8 9 9 9 9 8 7 7 6 6 7 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 5 4 nan
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nan 8 9 10 10 10 10 10 10 10 10 9 9 8 7 6 5 5 5 6 7 7 8 9 10 11 13 16 19 20 18 16 14 13 13 12 12 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 12 12 11 10 8 8 8 8 7 7 7 7 7 8 9 9 8 6 5 4 5 5 5 7 10 13 14 14 12 9 8 8 8 8 8 8 9 10 11 11 11 12 11 11 11 11 11 11 10 10 11 11 12 13 12 11 10 9 8 8 10 11 12 12 11 9 7 4 2 2 3 4 5 6 7 8 8 8 8 9 11 12 12 11 nan
nan 9 10 10 9 9 9 9 9 9 9 9 9 7 6 5 5 5 5 6 7 8 9 10 10 11 12 14 17 18 17 15 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 8 9 9 9 9 11 12 12 12 12 12 12 11 10 9 8 8 9 9 8 8 8 8 9 9 9 7 6 5 5 5 5 6 8 11 13 14 12 10 8 8 8 8 9 9 9 9 10 10 11 11 12 12 11 11 11 11 11 12 12 13 13 13 12 10 9 7 6 6 7 9 11 12 12 10 7 4 2 2 3 5 7 8 9 9 9 8 9 9 11 12 12 11 nan
nan 10 10 10 10 9 9 9 9 10 10 9 8 6 5 5 5 6 6 7 8 9 9 10 10 11 12 14 16 16 15 14 13 12 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 10 11 12 13 13 13 12 12 12 11 10 9 9 9 10 10 9 9 8 9 9 9 8 6 5 5 5 6 6 7 9 11 13 12 11 9 9 9 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 13 13 13 14 14 13 12 9 7 6 6 7 9 10 11 12 10 8 5 3 3 5 7 8 9 10 10 10 9 9 9 10 11 11 11 nan
nan 9 9 10 11 11 10 10 10 10 10 8 7 5 5 5 5 6 7 8 9 9 10 10 10 11 13 14 15 15 14 13 11 10 10 11 11 10 10 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 6 6 6 6 6 7 8 8 9 9 10 9 9 9 9 9 9 9 9 11 12 13 13 14 13 13 13 13 12 11 10 10 10 10 10 10 10 9 9 9 9 8 7 6 5 5 6 6 7 8 10 12 12 11 11 10 9 9 9 9 10 10 10 10 9 10 10 11 11 10 10 11 12 13 13 13 15 15 15 14 12 10 9 9 10 10 11 11 12 11 9 7 5 5 6 7 8 9 10 10 10 9 9 8 9 9 9 9 nan
nan 7 8 10 12 12 12 11 11 10 9 7 6 5 5 5 6 6 7 8 8 9 9 10 10 12 13 15 15 15 14 12 11 10 11 11 11 11 10 10 9 8 8 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 6 6 7 7 7 8 8 9 9 10 10 9 9 9 8 9 10 10 11 12 13 13 14 15 15 15 14 13 12 11 10 10 10 10 10 10 9 8 8 8 8 7 6 6 6 6 7 7 8 9 10 11 11 11 10 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 11 12 12 13 13 14 14 14 13 13 12 11 11 11 11 11 11 12 12 11 9 8 7 7 8 9 10 11 10 9 8 7 7 7 7 7 7 nan
nan 7 9 11 12 12 11 11 11 10 9 7 6 6 5 6 7 7 8 8 8 8 9 10 11 12 14 15 15 14 13 12 11 11 11 11 11 11 10 10 9 8 8 8 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 9 9 8 9 9 10 11 12 12 13 15 16 17 17 16 14 13 13 12 11 10 9 9 9 9 9 8 7 7 8 9 8 7 7 7 8 8 9 9 10 11 11 9 8 8 8 9 9 10 10 11 11 11 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 13 14 13 12 10 9 9 9 10 11 10 9 7 6 5 5 4 3 5 nan
nan 10 11 12 12 12 11 10 10 9 9 8 7 6 6 7 8 8 8 8 8 9 9 10 11 13 14 15 14 14 13 12 12 12 12 12 11 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 11 12 12 13 14 16 19 19 18 15 13 12 13 12 12 10 9 9 9 9 8 7 6 7 9 10 9 8 7 7 8 9 9 10 11 11 10 9 8 8 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 8 8 8 9 9 11 14 16 17 17 15 12 10 10 11 11 9 7 5 4 3 1 -0 1 4 nan
nan 12 13 13 12 12 11 10 10 9 9 8 7 7 6 7 7 8 8 9 9 10 11 12 13 14 14 15 14 13 12 12 12 12 12 12 11 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 11 12 12 12 13 14 16 18 20 20 18 14 11 11 12 12 12 11 9 9 9 9 8 7 7 7 9 10 10 9 8 8 9 9 10 11 12 11 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 9 12 15 18 20 20 17 13 11 11 11 11 8 5 2 1 0 -0 0 3 6 nan
nan 12 12 13 13 12 11 10 10 9 9 8 7 7 7 7 8 8 9 9 10 11 12 13 14 15 15 15 14 13 12 12 12 12 12 12 10 9 9 9 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 8 8 9 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 10 11 11 12 12 12 12 12 12 13 13 13 14 15 16 18 19 18 16 13 11 11 11 12 11 11 10 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 10 10 9 8 8 9 10 11 11 12 13 13 13 11 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 6 6 6 6 6 7 8 10 13 16 19 21 21 18 14 12 11 12 11 9 5 1 -0 -0 1 4 7 9 nan
nan 10 11 11 12 12 11 10 10 9 8 7 7 7 8 9 9 10 10 10 11 12 13 15 16 16 16 14 13 12 11 11 12 12 12 11 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 9 9 8 9 10 11 12 12 12 11 10 10 9 9 9 9 9 10 10 10 10 11 11 12 12 13 13 13 13 13 14 14 14 15 16 17 18 16 13 11 10 10 10 10 10 10 10 10 9 9 10 10 10 9 8 8 9 10 10 10 9 8 8 9 8 6 5 5 6 8 10 12 13 14 14 12 11 10 9 9 9 9 9 9 9 9 9 8 8 7 6 6 5 5 5 5 6 6 8 9 11 14 16 18 21 21 19 17 14 11 10 9 8 7 5 4 5 6 8 9 10 nan
nan 8 8 9 10 11 11 10 9 8 7 6 6 7 9 10 11 12 12 12 12 13 15 16 17 17 16 14 13 12 11 11 12 12 11 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 13 13 13 13 12 10 9 9 9 10 10 10 10 10 10 10 11 12 13 13 13 13 13 13 14 14 14 15 16 17 16 13 11 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 8 6 7 8 10 10 10 9 9 9 7 6 3 2 2 4 5 8 10 12 12 11 10 10 9 8 8 8 9 9 9 9 9 8 8 7 6 5 5 4 4 5 6 7 9 11 12 14 15 17 20 21 21 20 16 11 8 7 8 9 10 11 12 13 13 13 12 nan
nan 7 7 7 8 9 10 9 8 7 6 6 6 8 9 10 11 12 11 11 13 14 16 18 18 17 16 14 13 12 12 11 12 11 9 8 8 8 9 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 13 13 14 13 12 11 9 9 9 9 9 9 9 10 10 10 11 12 13 13 13 12 11 12 13 13 13 13 14 15 14 12 11 10 9 8 8 8 9 9 9 10 10 9 9 10 11 10 8 6 6 7 9 10 10 9 10 10 9 8 6 4 2 1 1 2 5 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 7 6 5 4 3 3 4 5 7 9 11 12 12 13 14 16 17 18 17 16 13 10 9 9 10 11 13 14 15 17 17 16 15 nan
nan 7 6 6 7 8 9 9 8 7 6 6 7 8 9 9 10 10 10 11 13 15 17 18 17 16 15 14 13 12 12 11 11 10 8 7 7 9 10 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 11 12 12 12 13 13 13 12 12 10 9 9 8 8 9 9 9 10 10 10 11 12 13 13 12 11 10 10 11 12 11 11 11 12 13 12 11 10 9 8 7 7 7 8 9 9 9 9 9 10 11 12 10 7 6 5 6 7 9 10 10 11 11 11 11 9 7 5 4 4 5 6 7 8 8 8 8 8 8 8 8 7 8 8 7 6 3 2 1 1 1 2 5 7 10 11 12 12 12 13 14 15 15 14 11 7 6 6 8 9 10 11 12 13 16 18 18 16 14 nan
nan 6 6 6 6 7 8 8 8 8 7 7 8 9 9 9 9 10 11 12 14 15 17 17 17 15 14 13 12 12 11 11 10 9 8 7 8 9 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 12 12 11 10 9 8 8 8 8 9 10 10 10 11 11 12 13 13 12 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 7 8 8 9 9 10 9 9 10 11 12 11 9 7 5 5 6 8 9 10 11 11 12 12 12 11 10 10 11 10 8 7 5 5 6 7 8 8 8 8 7 7 6 5 3 0 -1 -1 0 2 5 8 10 12 12 12 12 13 15 17 18 17 13 8 3 2 3 5 7 9 10 11 14 17 19 18 16 13 nan
nan 5 5 5 6 6 7 8 8 8 8 8 9 10 10 10 10 11 12 13 14 15 16 17 17 15 14 13 11 11 10 10 9 8 8 7 8 8 9 9 9 9 9 9 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 12 12 11 11 10 9 8 8 8 8 9 9 9 9 10 11 12 12 13 12 11 10 10 10 10 11 11 11 11 11 11 12 12 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 9 8 7 7 7 8 9 10 11 12 12 11 11 11 12 14 15 14 12 9 5 4 5 7 7 7 6 5 4 4 3 2 1 0 1 3 6 9 11 12 13 13 13 14 15 16 19 20 21 20 17 12 8 7 6 7 9 10 11 13 16 19 19 17 14 11 nan
nan 5 4 5 5 6 7 7 8 8 8 9 10 11 11 12 12 12 13 13 14 15 16 17 16 15 14 12 11 10 10 9 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 10 11 12 12 11 11 10 9 9 9 9 8 8 7 7 7 8 9 10 10 11 11 11 11 11 10 11 11 12 12 11 11 11 12 12 13 13 13 12 12 12 13 13 13 12 11 10 10 10 9 10 10 10 10 10 10 10 12 13 13 12 11 10 11 12 14 15 15 14 11 7 5 5 6 6 4 2 1 0 0 1 1 3 6 9 11 13 14 15 14 15 15 16 17 19 20 21 21 21 20 18 15 13 12 11 11 12 13 15 18 20 19 17 13 9 8 nan
nan 5 4 4 5 6 7 7 7 7 8 10 11 12 13 13 13 12 13 13 13 14 15 16 16 15 14 12 11 10 9 9 8 8 7 7 7 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 9 10 11 12 11 11 10 10 10 10 9 8 7 6 6 7 8 9 9 10 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 14 14 13 12 11 10 9 9 9 11 12 13 13 12 13 15 15 14 12 11 11 12 13 14 15 15 15 13 8 5 3 2 2 1 -0 -1 1 2 5 8 11 15 17 18 18 18 18 18 18 19 20 20 21 20 18 16 15 13 12 11 11 11 12 13 15 17 20 22 21 17 13 8 6 6 nan
nan 5 4 5 5 6 7 7 7 8 9 11 12 14 14 13 12 12 11 11 12 13 14 15 15 14 13 12 11 10 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 7 6 6 6 7 8 9 10 11 11 11 10 10 10 10 9 8 7 7 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 13 12 12 12 11 9 8 8 9 11 12 13 13 13 14 15 15 14 12 12 13 15 15 15 15 15 16 14 11 7 4 2 2 3 4 5 7 10 14 17 20 22 22 21 19 18 18 19 19 19 19 18 17 15 12 9 8 8 7 7 9 11 14 17 19 22 24 23 19 15 11 8 7 8 nan
nan 5 5 5 6 7 7 7 7 8 10 12 14 15 14 13 12 10 10 10 12 13 13 14 14 14 14 12 11 10 10 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 6 6 6 7 8 9 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 9 8 8 8 9 10 11 11 11 12 13 13 13 12 13 14 16 17 17 16 16 16 16 17 16 14 12 9 8 9 11 13 15 18 20 22 22 21 19 17 14 13 13 14 13 13 12 11 10 8 7 7 8 9 9 11 13 16 18 20 23 25 24 20 16 12 10 10 10 10 nan
nan 6 6 6 6 6 6 6 7 9 11 13 15 15 14 12 10 9 9 10 12 13 13 13 14 14 14 13 12 11 10 10 10 10 10 11 12 13 13 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 8 8 9 10 10 10 11 11 11 10 10 9 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 11 10 9 7 7 8 8 9 10 10 10 10 11 11 11 11 12 13 14 15 15 15 14 15 16 16 16 17 16 15 14 14 14 14 15 17 18 19 19 17 14 12 10 9 9 10 10 10 10 9 9 9 10 11 12 13 13 14 16 17 18 19 20 21 21 19 16 13 12 11 11 11 11 nan
nan 7 6 6 6 6 6 6 7 8 11 14 15 14 13 11 9 9 9 10 12 12 13 13 13 14 13 12 12 11 10 10 10 11 11 12 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 11 9 8 7 7 8 9 10 10 11 11 10 9 9 9 9 10 12 12 12 12 11 11 12 13 13 13 13 13 12 13 13 13 13 14 14 15 14 13 12 11 11 11 11 13 14 15 16 16 15 15 16 17 18 18 16 14 15 15 15 15 15 16 16 15 14 13 13 12 12 12 12 12 nan
nan 7 6 5 5 5 5 6 7 9 12 14 14 14 12 10 9 8 8 10 11 12 12 13 13 13 12 12 11 10 9 10 11 12 12 12 12 12 13 13 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 12 12 11 10 9 8 8 8 9 10 11 11 11 10 9 8 7 7 8 10 10 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 12 12 13 14 16 17 18 20 20 20 20 19 19 19 20 19 19 17 14 13 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 nan
nan 6 5 5 5 5 6 7 9 11 13 14 14 13 12 10 9 8 8 9 10 11 11 12 12 12 11 10 9 9 9 10 11 12 12 11 11 11 11 12 13 13 13 12 12 11 10 10 10 9 9 10 9 9 9 9 9 9 10 10 10 9 8 9 11 11 10 10 11 12 12 12 12 12 11 11 11 10 10 10 9 9 9 10 10 10 10 9 8 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 9 8 8 9 9 10 11 12 11 10 9 7 6 6 7 8 9 10 11 11 10 9 8 8 9 9 10 10 9 9 9 9 10 11 13 14 14 13 13 15 16 17 18 19 19 19 18 16 15 15 15 15 15 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 6 5 5 5 5 6 8 10 12 13 14 14 13 12 11 9 8 8 9 9 10 11 12 12 11 10 9 8 9 10 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 11 12 12 12 11 11 11 11 11 11 11 11 10 9 9 10 11 11 11 9 8 6 6 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 9 10 11 12 11 10 8 6 5 5 5 5 6 6 8 9 11 11 9 8 8 8 9 9 9 7 6 7 9 11 13 15 16 16 15 14 14 14 14 14 14 14 14 13 12 11 11 11 11 11 10 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 11 11 11 12 nan
nan 6 5 6 6 7 8 10 12 14 14 14 13 13 12 11 9 9 8 9 9 10 11 11 11 10 9 9 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 8 8 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 10 11 12 11 10 9 8 8 9 11 12 12 12 12 11 11 11 11 11 11 9 7 5 6 7 8 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 9 9 8 7 7 8 9 10 11 11 11 9 8 7 6 5 5 4 3 3 3 3 5 6 7 6 5 4 6 7 7 6 3 2 5 9 13 16 16 16 15 15 14 13 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 12 11 10 10 10 nan
nan 7 8 8 9 10 11 13 14 14 14 13 13 12 12 10 9 9 8 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 10 9 9 9 9 10 12 13 13 12 11 11 10 10 10 10 8 6 5 5 7 9 11 13 13 14 13 13 13 13 12 11 9 7 7 8 10 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 7 7 7 8 8 7 6 5 3 1 0 0 0 -0 -1 -2 -1 1 2 3 1 -1 1 6 12 16 16 15 15 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 14 14 13 12 11 10 10 9 nan
nan 10 11 12 13 13 14 15 15 14 13 13 12 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 7 7 7 7 8 9 9 10 10 10 9 9 9 10 11 12 12 12 11 10 9 9 9 8 7 6 5 5 6 8 11 11 12 12 13 15 16 16 15 13 11 10 9 10 12 12 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 9 9 8 8 7 7 6 5 4 4 5 7 8 9 9 9 9 8 6 4 2 1 -1 -3 -4 -3 -1 0 0 -0 -2 -0 5 11 17 18 16 14 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 12 13 14 14 14 13 12 11 10 9 nan
nan 13 14 15 15 15 15 15 14 14 13 13 12 12 11 10 9 8 7 7 8 9 9 9 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 8 7 6 6 6 8 9 9 9 9 10 13 15 17 17 16 15 14 13 12 12 13 13 14 14 14 14 14 14 13 12 12 12 12 11 11 10 10 10 10 8 7 5 4 3 2 2 2 2 4 6 8 8 8 8 8 9 9 8 7 5 4 3 3 3 4 5 5 3 4 8 13 18 20 18 15 13 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 13 12 11 10 10 nan
nan 15 15 15 15 15 14 14 13 13 13 13 12 11 11 10 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 8 7 8 9 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 9 9 9 10 10 9 8 7 7 7 8 8 8 7 8 9 10 11 13 14 16 16 16 15 13 12 12 12 12 13 13 13 12 12 11 11 12 13 13 12 10 9 9 9 9 8 7 6 5 4 4 4 4 5 6 6 6 6 7 7 8 9 10 10 10 10 10 10 10 11 12 13 13 13 14 16 19 20 19 16 13 12 11 11 11 11 10 10 11 11 11 11 10 10 10 9 9 9 8 8 9 9 9 9 9 8 9 9 9 10 10 11 12 12 12 12 12 12 11 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
0 1 7 27 68 50 48 35 13 4 6 13 17 19 88 440 1190 2122 2618 2754 2758 2720 2671 2626 2590 2557 2522 2467 2409 2371 2363 2378 2394 2394 2383 2381 2402 2427 2439 2443 2436 2466 2531 2582 2631 2675 2695 2686 2674 2642 2629 2653 2722 2841 3013 3208 3353 3413 3413 3419 3444 3429 3326 3175 2972 2622 2093 1442 811 359 131 45 14 4 2 2 2 2 5 10 19 31 30 9 3 2 1 3 13 48 136 347 952 1313 1565 1808 2044 2228 2342 2460 2648 2694 2683 2644 2497 2189 1826 1504 1290 1172 1243 1443 1654 1853 2181 2545 2647 2383 1869 1346 1015 820 673 672 712 737 767 831 850 810 836 876 899 904 890 832 710 496 353 285 260 252 243 211 162 140 131 132 137 142 148 127 129 128 119 104 91 83 84 89 97 92 73 48 30 17 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 3 18 56 70 49 36 23 11 5 6 9 13 5 6 51 460 1419 2240 2605 2708 2707 2680 2655 2635 2620 2601 2564 2522 2488 2475 2477 2474 2459 2448 2462 2500 2524 2531 2547 2543 2558 2602 2652 2704 2757 2798 2798 2802 2761 2785 2864 2993 3171 3375 3508 3536 3515 3435 3368 3319 3199 2920 2517 2022 1485 954 490 168 37 9 5 4 4 4 4 4 3 2 2 1 2 3 1 0 0 1 1 6 19 44 86 177 312 482 665 835 970 1064 1269 1607 1696 1735 1712 1552 1251 908 660 620 597 647 769 903 1050 1295 1580 1717 1512 1077 693 548 519 491 468 458 451 473 555 598 600 605 605 618 664 731 738 636 485 351 261 216 196 171 143 150 171 192 205 206 204 222 215 201 181 156 127 99 81 69 64 66 66 58 44 27 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 9 31 59 48 34 21 10 4 3 3 2 3 1 0 4 228 879 1762 2398 2633 2686 2681 2675 2673 2673 2674 2655 2627 2596 2570 2551 2530 2507 2497 2536 2588 2609 2608 2618 2622 2627 2655 2717 2799 2890 2962 2965 2977 2977 3060 3182 3318 3450 3545 3494 3361 3207 3001 2756 2491 2191 1795 1280 799 432 193 60 4 4 4 4 5 6 6 6 5 4 3 2 1 1 1 1 1 1 3 3 4 6 9 11 14 18 36 82 157 211 214 317 491 605 657 635 540 403 252 178 279 345 374 406 440 476 553 649 703 607 407 254 226 244 245 263 277 277 282 318 368 417 451 448 429 438 494 518 475 391 290 199 136 102 86 92 129 187 242 281 297 272 279 280 269 241 203 172 128 84 59 49 46 45 46 42 49 24 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
19 21 41 55 39 20 11 6 2 0 0 0 0 0 1 5 164 633 1389 2200 2558 2661 2684 2692 2700 2714 2726 2712 2685 2654 2624 2596 2572 2555 2544 2596 2643 2656 2652 2666 2695 2717 2769 2858 2975 3102 3206 3241 3210 3239 3305 3350 3346 3281 3149 2952 2738 2479 2172 1822 1439 1040 646 327 134 41 10 5 4 4 5 5 5 6 6 5 4 3 3 2 2 2 2 1 2 2 3 4 4 4 4 4 3 2 3 7 20 41 57 57 75 110 147 171 166 116 45 59 133 186 209 226 237 215 220 216 208 165 92 44 48 62 83 140 188 206 208 209 236 282 350 389 380 358 360 358 331 282 206 120 56 28 17 31 66 114 165 210 249 250 260 266 257 231 209 228 187 118 88 74 57 43 42 39 69 52 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
120 80 65 57 41 22 11 4 1 1 1 0 0 0 1 4 17 172 687 1660 2330 2592 2674 2701 2719 2736 2737 2723 2703 2681 2658 2638 2628 2628 2636 2684 2706 2692 2671 2687 2748 2838 2956 3057 3192 3346 3448 3437 3393 3373 3306 3170 2966 2698 2382 2142 1901 1599 1252 897 566 286 103 29 10 5 4 4 5 6 5 5 4 4 4 3 2 2 2 2 2 2 2 1 2 2 2 3 3 3 3 2 2 1 0 0 2 7 9 5 10 18 29 43 60 58 51 58 74 90 103 113 122 106 105 92 75 53 25 4 9 16 30 59 102 136 132 116 132 167 245 329 378 387 367 324 274 212 132 54 17 8 4 5 13 31 54 78 106 141 179 208 212 205 236 298 261 208 193 177 133 96 80 76 88 71 33 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
268 206 156 113 72 34 15 7 4 2 1 0 0 0 0 1 2 50 287 950 1978 2416 2592 2667 2707 2728 2735 2735 2731 2722 2709 2704 2718 2753 2782 2825 2825 2777 2728 2734 2825 2970 3134 3256 3392 3511 3554 3502 3394 3240 3009 2711 2380 2032 1675 1414 1115 809 520 282 117 31 5 5 6 5 4 4 4 4 3 3 3 2 2 1 2 2 2 2 2 3 2 1 2 1 1 2 2 2 2 1 1 1 0 0 0 1 1 1 1 1 1 3 8 7 16 23 28 33 38 45 43 42 42 36 26 16 6 0 2 4 13 31 51 59 46 35 50 77 129 202 284 362 376 319 238 129 36 12 9 5 3 2 1 3 6 10 19 43 82 139 208 274 319 346 311 264 257 267 247 212 181 154 134 101 50 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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