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 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 9 9 10 11 11 10 9 9 9 8 8 7 7 8 9 9 10 10 10 10 10 9 8 9 10 10 10 10 9 8 6 6 7 8 8 8 9 9 7 6 6 8 11 13 13 10 10 10 10 10 9 8 8 7 7 8 8 8 8 9 10 10 10 11 13 13 12 11 11 11 12 12 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 8 7 7 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 8 9 10 11 10 9 9 10 10 10 9 8 7 7 8 8 9 9 9 9 9 8 8 8 9 10 10 9 8 6 5 5 7 7 8 8 8 8 6 6 7 9 11 13 11 9 9 9 10 10 9 9 8 8 8 9 9 9 9 11 12 12 12 13 13 13 12 12 12 12 12 12 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 8 9 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 11 11 9 8 8 10 12 13 13 10 8 7 6 7 8 8 7 7 8 8 7 7 8 10 10 10 9 7 5 4 6 8 8 8 7 8 8 8 9 9 10 11 11 10 9 9 8 9 10 9 9 9 9 9 10 9 10 11 12 12 12 11 12 12 12 12 12 12 11 11 11 nan
nan 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 10 9 7 7 8 9 9 9 9 10 10 9 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 10 11 12 12 9 7 9 12 14 15 14 11 8 6 6 7 8 7 6 6 6 7 7 8 8 9 10 10 9 8 6 6 8 9 9 7 7 9 10 11 11 11 10 9 10 11 10 8 7 8 9 10 10 10 10 10 10 10 11 13 14 12 11 10 11 12 13 13 12 11 10 10 10 nan
nan 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 8 7 7 8 9 10 10 10 10 9 8 7 7 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 10 12 13 12 9 8 9 11 12 13 12 10 8 7 8 9 9 8 6 5 5 7 9 9 9 9 9 10 11 9 8 9 10 11 10 8 8 9 10 11 10 10 9 9 11 11 11 9 8 9 10 10 10 10 10 10 10 11 13 15 15 13 11 11 12 13 13 13 12 12 11 10 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 9 7 7 8 9 10 10 10 10 9 8 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 12 12 10 8 7 6 9 11 11 11 10 10 11 12 11 9 7 6 7 10 11 11 10 9 9 11 12 12 11 11 11 11 9 8 8 9 10 10 9 9 10 10 12 12 11 10 11 11 11 11 10 10 10 10 11 13 15 16 14 12 11 12 13 13 13 13 13 13 12 11 9 nan
nan 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 12 11 9 7 7 7 8 9 10 10 9 8 7 6 5 6 7 8 8 8 8 9 9 9 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 12 12 10 7 3 4 8 11 11 12 12 12 13 13 12 10 8 8 10 11 11 11 10 9 11 13 14 13 12 11 10 9 8 7 8 9 9 9 9 10 10 10 11 12 11 11 12 12 11 11 10 10 10 12 13 14 14 13 11 10 11 13 14 14 13 14 14 13 12 12 11 nan
nan 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 9 8 8 8 8 9 10 10 9 8 7 6 6 7 7 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 12 12 9 5 2 5 9 11 12 12 12 11 11 11 10 10 9 9 9 9 9 10 10 10 12 13 14 14 12 10 9 8 7 8 9 10 10 10 10 10 9 9 10 10 11 11 11 10 9 9 10 11 12 13 14 14 13 12 10 10 12 13 14 14 14 14 14 13 13 13 13 nan
nan 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 10 10 10 10 10 10 11 11 10 10 9 8 9 10 11 11 10 8 7 6 6 7 7 7 8 8 9 10 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 11 10 7 4 4 7 10 12 13 12 10 9 9 9 9 9 8 9 9 9 9 9 10 10 11 12 13 12 11 10 8 8 9 11 11 11 11 11 10 10 9 9 10 10 10 10 9 8 8 9 11 12 12 13 14 13 13 11 10 10 11 13 14 13 12 13 13 14 14 14 13 nan
nan 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 10 10 10 10 10 10 10 11 11 11 10 9 10 11 12 12 11 9 7 6 6 7 7 7 8 9 9 9 9 8 8 8 9 10 10 9 9 9 8 8 8 8 8 8 8 9 9 8 9 9 8 6 5 6 9 11 12 13 11 10 9 9 9 9 8 8 8 8 8 8 7 8 8 9 10 10 10 9 9 9 9 11 13 12 11 10 10 10 9 9 9 10 10 10 10 8 7 7 10 12 12 12 11 12 12 11 10 10 11 12 14 14 12 11 12 14 14 14 13 12 nan
nan 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 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 10 10 10 10 10 10 10 10 11 12 11 11 12 14 15 15 12 9 7 7 7 7 8 8 9 10 10 9 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 7 7 7 9 10 11 12 13 12 12 12 11 10 8 7 7 7 7 6 6 6 7 9 10 10 9 8 8 8 9 11 13 13 12 10 10 10 9 9 9 9 10 10 10 9 7 6 8 11 12 12 10 10 10 10 9 9 10 12 13 14 13 12 13 14 14 13 12 11 11 nan
nan 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 12 15 17 18 16 12 9 8 7 8 9 9 10 11 11 10 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 9 10 11 11 12 13 14 14 13 12 10 8 7 6 6 6 6 8 9 11 12 12 11 9 9 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 11 10 9 7 7 9 11 12 11 10 9 9 9 8 9 10 11 12 13 12 12 13 13 12 11 10 10 11 nan
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nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 10 8 7 6 9 14 19 21 19 15 12 10 9 8 9 8 8 6 6 7 8 8 7 7 7 8 8 9 9 9 10 10 11 11 11 10 10 9 8 8 8 7 7 8 9 9 10 11 12 12 11 11 14 15 15 13 10 9 8 7 7 9 12 14 14 13 11 11 12 13 14 14 13 11 10 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 10 10 11 11 11 11 9 8 8 9 9 9 9 9 9 8 9 9 9 9 10 11 12 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 10 8 6 6 8 13 17 19 18 15 12 10 8 8 8 7 6 5 5 7 7 7 6 6 7 8 9 9 10 10 10 10 11 11 11 10 10 8 7 6 5 4 4 5 7 8 8 9 9 9 9 10 13 15 14 12 10 8 7 7 8 11 13 14 14 13 11 11 11 12 12 12 11 10 9 9 10 10 10 11 10 10 10 10 11 11 10 9 9 9 9 9 9 9 10 9 9 8 8 9 10 10 9 9 9 8 8 9 9 9 10 11 13 13 nan
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nan 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 14 13 9 2 -4 -4 -1 3 5 6 7 8 9 11 15 19 22 21 16 11 10 8 8 7 6 5 4 3 3 3 5 7 9 10 11 11 11 10 10 9 7 7 8 11 14 14 13 12 11 10 9 8 7 7 6 6 5 6 7 8 8 9 9 8 7 7 7 7 7 8 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 8 7 5 4 5 6 6 7 7 7 9 11 13 12 10 7 7 9 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 nan
nan 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 12 12 12 11 6 -1 -4 -2 2 6 7 8 8 9 9 12 17 22 25 24 19 15 12 10 9 8 7 5 4 2 2 4 6 7 9 10 11 11 10 10 10 10 10 10 11 13 14 14 14 13 12 10 8 8 8 8 7 6 6 7 8 11 13 14 13 11 8 7 7 7 9 10 11 10 10 9 8 7 7 8 9 9 9 10 10 10 10 9 9 8 6 5 4 5 6 8 8 8 9 10 12 13 13 11 8 7 8 9 10 10 9 9 10 10 10 9 9 9 9 10 12 12 11 nan
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nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 7 -0 -4 -3 0 4 7 8 8 9 9 10 13 18 24 27 26 22 18 14 10 7 7 5 4 2 2 3 4 6 8 9 10 10 10 10 10 10 10 11 12 12 11 10 8 6 5 6 8 10 12 12 10 9 9 9 10 12 14 15 15 13 11 10 9 9 10 11 10 8 7 6 6 7 8 9 9 9 10 10 11 10 9 8 8 7 7 8 10 11 11 11 10 10 11 11 10 9 9 9 9 8 8 8 9 9 9 8 8 8 8 6 5 5 6 8 9 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 9 3 -3 -4 -3 1 5 7 7 8 8 9 10 12 16 22 26 26 23 19 13 9 7 6 5 4 2 2 3 4 6 7 9 10 10 10 10 10 10 10 11 11 11 10 8 4 1 2 6 10 13 13 12 10 11 11 12 13 14 15 15 14 13 11 10 10 11 11 11 10 9 8 7 7 8 9 9 9 9 10 10 10 9 8 7 7 7 8 9 10 9 8 7 7 8 9 9 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 6 6 7 9 10 11 11 11 9 nan
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nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 10 7 3 1 2 4 5 6 7 8 9 9 10 11 11 13 18 21 21 19 16 13 10 8 6 5 4 4 4 5 6 7 8 9 10 11 11 11 10 10 10 10 9 8 7 8 11 14 14 13 11 11 13 14 15 14 13 14 15 15 15 16 16 16 16 17 17 14 12 10 11 12 13 14 14 14 13 12 11 11 11 12 12 11 10 9 9 9 9 10 11 13 13 13 11 9 8 8 9 10 10 9 8 7 7 10 12 13 10 7 6 6 7 8 9 10 10 10 8 6 5 nan
nan 9 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 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 7 2 0 1 4 6 7 9 10 11 12 12 12 11 13 18 21 22 20 17 14 11 8 6 5 4 4 4 5 6 7 8 9 10 11 11 11 10 10 9 9 9 8 9 9 11 11 10 9 9 10 12 14 14 13 13 13 13 13 14 14 14 13 14 14 14 12 11 12 13 15 16 17 18 17 16 15 15 16 17 17 15 13 11 10 9 9 10 11 12 12 11 10 8 7 8 9 11 11 11 10 9 8 9 11 11 9 6 5 6 8 9 9 10 10 9 8 7 7 8 nan
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nan 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 8 4 0 -0 2 4 6 7 9 11 14 19 27 39 43 37 29 24 24 23 21 16 12 8 6 5 5 6 8 9 10 11 10 10 10 9 8 7 8 9 9 10 10 10 10 9 7 3 0 1 5 10 13 15 17 20 22 20 16 14 13 12 11 11 11 12 12 12 12 14 15 14 12 11 9 9 11 12 12 13 13 12 11 11 11 12 11 10 10 11 12 13 14 14 14 14 13 13 13 12 11 10 10 11 14 15 14 12 11 12 11 11 10 10 10 11 11 11 11 12 12 nan
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nan 8 8 9 9 9 7 6 6 7 9 10 11 11 11 12 13 13 12 9 8 7 8 9 9 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 8 10 10 11 11 12 13 14 15 15 14 12 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 13 12 12 11 11 11 11 11 11 10 11 11 11 9 8 8 9 12 14 15 14 13 12 12 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 nan
nan 13 12 11 9 7 4 2 2 4 6 8 9 10 11 12 13 13 12 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 10 11 12 12 13 13 12 11 10 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 10 10 10 10 12 13 13 12 11 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 10 10 11 12 12 13 12 12 12 11 11 12 12 12 12 12 11 11 11 11 nan
nan 18 18 16 13 9 5 3 1 0 2 4 6 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 10 10 10 9 9 10 10 11 12 12 12 13 12 12 11 11 11 12 12 12 11 11 12 11 11 nan
nan 19 22 21 18 12 6 3 1 1 2 4 5 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 13 12 12 11 11 12 12 12 12 12 12 11 11 12 nan
nan 16 21 24 22 16 8 4 2 3 5 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 7 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 13 13 12 12 12 12 12 13 13 12 12 12 12 12 12 nan
nan 13 18 22 22 17 10 5 3 4 5 6 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 3 4 6 8 10 11 11 11 11 10 10 10 9 9 9 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 12 12 12 12 13 13 12 12 12 12 13 12 nan
nan 13 17 19 19 17 13 9 6 3 2 3 5 7 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 8 7 5 4 3 5 7 10 12 12 12 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 12 12 12 12 12 12 13 13 13 nan
nan 13 15 17 18 18 17 13 9 4 2 3 5 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 8 7 6 6 6 7 9 11 12 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 13 13 13 13 12 12 12 12 12 12 13 13 nan
nan 12 14 15 16 18 17 14 10 7 6 7 8 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 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 8 9 10 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 11 12 12 12 13 13 13 13 12 12 12 12 12 12 13 nan
nan 11 12 13 14 14 14 13 11 10 10 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 13 12 12 12 11 12 12 12 nan
nan 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 10 10 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 12 12 12 11 12 12 nan
nan 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 12 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 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 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 nan
nan 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 9 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 nan
nan 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 10 9 8 8 8 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 10 11 12 12 12 12 13 13 13 13 12 12 12 12 12 11 12 12 12 12 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 13 13 12 12 11 11 nan
nan 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 13 13 11 10 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 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 13 13 12 12 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 13 11 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 12 12 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 14 14 14 12 9 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 14 13 13 13 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 11 12 12 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 14 14 14 14 14 14 14 13 13 12 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 11 11 11 12 12 12 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 10 10 10 9 10 10 11 11 12 12 12 13 13 13 12 12 13 13 14 14 15 15 15 15 14 14 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 10 10 11 11 11 11 11 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 11 12 12 12 13 13 13 13 13 13 13 13 14 15 15 16 17 17 16 14 13 13 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 10 11 11 11 11 11 11 10 11 11 11 12 12 12 11 11 11 12 12 11 11 11 10 10 10 10 11 13 13 13 13 12 12 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 9 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 13 14 16 17 18 17 16 14 13 12 12 11 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 9 8 9 11 12 14 14 13 13 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 14 11 7 5 6 8 10 10 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 7 7 8 9 11 11 12 13 14 14 14 13 12 12 12 13 12 12 12 13 14 15 16 17 16 14 12 12 12 10 10 10 11 11 11 11 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 9 8 8 9 11 13 13 13 13 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 13 14 16 15 12 8 6 6 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 11 10 8 7 7 8 10 12 12 12 13 14 13 13 11 11 10 11 11 11 11 11 11 12 12 12 13 12 13 14 15 13 11 10 9 10 10 11 11 10 10 11 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 11 12 13 13 12 nan
nan 10 10 11 11 11 11 11 11 10 11 11 11 11 12 13 14 14 12 10 9 9 9 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 12 12 11 11 10 9 8 8 10 12 12 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 9 7 7 8 11 18 23 24 21 16 12 9 9 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 11 11 10 11 12 12 12 12 nan
nan 10 10 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 10 12 13 13 12 11 11 10 9 8 9 11 12 11 10 10 11 12 12 11 10 9 9 9 9 9 10 10 9 7 4 3 5 14 25 33 35 29 23 16 10 8 10 11 11 10 9 9 9 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 10 10 11 11 12 12 11 10 10 10 11 12 13 13 12 11 11 11 11 12 12 13 nan
nan 10 10 10 11 11 11 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 11 11 11 11 10 10 10 11 11 12 13 12 11 11 10 10 9 9 9 10 10 9 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 6 2 3 7 19 31 39 41 36 29 18 10 9 10 10 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 11 10 10 10 11 12 13 13 12 11 10 10 10 11 13 14 nan
nan 10 10 10 10 11 11 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 12 12 11 11 10 10 9 9 9 9 8 8 8 9 11 12 12 12 11 11 11 11 11 11 10 10 9 7 4 3 5 11 23 34 40 42 38 30 20 13 10 9 9 8 8 7 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 10 9 10 10 12 13 13 13 11 10 9 8 9 10 12 nan
nan 10 10 10 10 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 9 9 8 7 8 8 8 7 7 8 10 12 13 13 12 12 12 11 11 11 9 8 6 5 3 3 5 8 16 26 33 39 41 37 30 21 15 12 10 8 7 7 7 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 10 11 12 13 13 12 11 9 7 7 7 9 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 8 7 7 8 8 8 7 8 9 12 14 15 15 14 14 13 12 10 8 5 3 3 2 3 6 9 13 19 26 31 37 39 35 29 21 17 13 10 8 7 6 6 7 8 8 9 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 11 12 13 13 13 12 10 8 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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