Vorticity
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nan 8 6 8 9 5 1 0 3 6 6 5 6 6 6 6 7 7 8 7 6 6 5 4 3 4 4 5 6 7 7 7 7 6 6 6 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 4 4 4 4 4 3 3 3 3 4 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 5 5 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 4 4 3 2 1 1 2 3 3 3 4 4 5 5 5 6 5 5 4 3 3 3 4 6 7 7 7 8 9 11 12 12 10 6 5 6 4 2 4 5 nan
nan 10 8 10 9 5 2 2 3 5 5 6 6 6 5 5 6 8 8 7 6 6 5 4 4 4 5 6 6 7 7 7 7 6 6 5 5 5 4 4 5 5 4 4 4 4 3 4 4 5 4 4 4 4 4 5 4 3 3 4 4 3 3 3 4 4 4 4 4 3 3 3 3 4 4 5 5 5 6 7 6 5 5 5 5 5 4 4 4 5 5 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 3 3 3 2 1 1 2 3 3 4 5 5 5 5 5 5 5 4 4 3 3 3 4 5 5 6 7 8 8 10 11 14 15 12 8 7 7 6 5 5 nan
nan 11 9 10 9 6 4 3 3 4 5 6 7 6 5 5 6 8 8 7 7 6 4 4 4 4 5 6 7 7 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 5 4 4 4 4 5 5 4 3 3 4 4 4 3 3 4 5 5 4 4 3 3 2 2 2 3 5 5 6 7 7 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 4 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 7 8 9 10 11 13 14 9 6 9 8 6 6 nan
nan 10 9 9 9 6 3 2 2 3 5 6 7 7 5 4 5 7 7 7 7 6 5 4 4 5 5 6 7 7 6 7 6 5 5 4 5 6 5 5 4 4 4 4 4 3 3 4 5 5 5 4 4 5 5 4 3 3 3 4 5 4 4 4 4 5 5 5 4 4 3 2 2 2 3 5 6 7 7 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 3 3 3 3 4 4 3 3 3 3 2 2 3 4 5 5 5 5 5 6 6 6 6 6 5 5 6 8 9 9 9 11 14 9 6 8 9 7 5 nan
nan 8 8 10 9 5 3 2 2 4 5 5 7 7 5 4 5 6 6 7 7 6 5 4 5 5 6 6 7 7 6 6 6 5 5 5 6 6 6 5 4 3 3 4 4 4 4 4 5 5 5 4 4 5 5 4 3 3 4 5 5 4 4 4 5 5 5 5 5 4 4 3 2 3 4 5 6 6 7 7 6 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 2 0 -1 -4 -8 -8 -5 -3 -2 0 4 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 11 13 12 9 7 8 7 6 nan
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nan 6 4 5 9 9 5 4 5 6 3 1 3 5 7 8 8 8 8 8 7 7 6 6 5 4 4 4 4 3 4 6 8 7 6 5 5 5 5 4 5 5 5 5 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 4 3 3 3 3 4 3 4 4 5 6 6 6 6 5 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 4 3 2 2 2 1 1 1 1 1 -0 -2 4 10 8 5 5 6 6 6 6 6 7 4 2 3 4 4 5 5 5 6 6 6 7 6 5 6 5 6 7 7 8 9 8 8 nan
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nan 8 7 7 6 5 4 5 10 11 5 1 2 4 6 7 9 9 9 8 8 7 7 6 6 5 5 4 4 3 4 5 6 7 5 5 5 6 5 4 4 3 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 3 3 3 1 1 1 3 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 5 4 4 4 5 5 5 4 4 3 1 1 1 2 2 3 2 2 3 3 3 3 4 3 4 4 4 5 5 5 5 4 3 3 2 2 2 3 4 3 4 8 12 16 12 7 6 7 9 8 8 8 8 7 6 5 6 7 10 13 12 8 5 6 6 6 7 9 11 10 7 5 4 2 -0 -0 3 8 10 nan
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nan 7 7 7 6 5 6 8 9 7 3 3 5 5 6 6 7 8 9 8 7 6 6 5 6 6 5 5 5 4 4 6 7 5 5 5 5 5 4 4 4 3 4 4 5 7 8 8 7 6 5 5 6 5 4 4 5 5 5 5 5 5 4 4 4 2 1 1 3 5 6 6 6 7 6 6 5 6 6 6 6 6 5 5 5 5 5 4 4 4 5 6 7 7 6 5 5 4 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 3 2 2 1 2 2 1 1 3 12 16 12 7 6 7 7 7 6 5 4 5 8 9 8 6 5 8 8 5 4 4 5 6 6 5 5 4 3 3 4 5 5 5 5 4 3 3 3 nan
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nan 7 7 7 5 3 5 8 8 4 2 5 6 6 5 4 5 6 7 8 7 6 6 5 6 6 7 7 8 7 7 8 9 8 7 6 3 1 1 3 4 5 6 6 7 7 9 10 9 8 7 6 7 6 6 5 6 6 5 5 5 5 4 3 2 2 5 6 6 6 5 5 5 5 5 4 3 3 4 5 6 6 6 5 6 6 7 7 7 8 9 8 8 6 5 6 7 6 5 5 4 4 3 4 4 5 5 7 6 5 5 4 3 3 3 4 3 3 3 3 2 2 2 4 7 7 5 6 7 6 6 6 6 6 6 7 7 7 6 7 7 7 4 3 3 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 4 4 3 4 4 nan
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nan 7 7 5 4 4 5 5 6 11 11 5 2 4 6 6 4 4 5 6 6 6 5 6 7 7 7 7 8 8 9 10 10 9 8 6 4 3 4 5 6 7 7 7 6 7 7 8 8 7 7 8 8 7 7 7 6 6 5 4 5 5 3 3 3 5 6 7 7 6 5 5 5 4 4 4 4 4 6 6 6 5 5 5 6 8 8 8 7 7 7 7 6 6 6 6 5 5 5 6 5 4 4 5 5 7 8 8 7 5 4 4 4 3 3 4 4 3 2 3 3 2 4 16 22 12 5 6 7 7 6 6 7 7 7 7 7 7 8 8 7 6 6 7 8 7 6 6 6 5 4 2 3 5 6 7 6 6 6 4 4 3 4 4 4 nan
nan 7 6 4 4 3 4 6 9 11 9 4 2 4 5 5 4 3 4 5 5 5 5 6 7 7 7 7 8 9 10 11 10 9 9 7 5 4 5 6 7 7 7 7 6 6 7 7 7 7 7 8 8 8 7 7 7 6 5 5 5 4 3 3 4 6 7 7 7 6 5 5 5 4 4 4 5 6 6 7 6 5 5 5 7 8 9 9 7 7 7 6 6 5 5 5 4 4 5 5 5 4 4 5 6 8 9 8 7 5 4 4 4 3 4 4 3 3 3 2 3 2 2 7 10 9 6 6 7 6 6 6 7 7 7 7 7 8 8 8 8 7 8 9 9 7 6 6 7 6 5 3 4 6 7 7 6 6 5 4 3 3 4 4 4 nan
nan 6 6 5 4 3 6 8 9 7 6 4 3 4 4 3 3 3 3 3 4 5 5 6 7 7 6 7 8 9 10 11 10 10 9 7 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 7 5 5 5 5 3 4 6 6 6 7 7 6 5 5 4 4 4 4 5 7 7 8 7 6 5 5 7 9 10 9 8 7 7 6 5 5 5 6 5 4 4 4 5 5 5 6 7 8 9 9 7 5 4 3 3 3 4 4 3 3 3 3 2 2 0 -1 1 5 7 6 7 6 6 6 5 6 7 7 8 8 8 9 9 9 10 9 7 6 6 7 8 7 5 4 4 6 8 8 7 5 4 4 4 4 4 4 5 nan
nan 6 6 5 3 4 7 8 8 7 5 3 2 4 6 3 3 3 1 2 4 4 5 6 7 7 6 7 8 9 10 10 10 10 9 8 7 7 6 7 6 7 7 7 6 6 6 6 7 7 7 8 8 8 8 9 8 7 6 6 5 5 4 5 6 6 7 7 7 6 5 4 3 3 4 5 6 7 8 9 8 7 6 6 7 9 10 10 8 7 6 6 6 6 7 7 6 5 4 4 5 6 6 7 8 10 9 8 7 5 4 4 3 3 4 4 3 3 3 2 2 2 4 4 3 7 8 7 6 6 6 6 6 7 7 8 8 8 9 9 10 9 8 7 6 6 7 8 8 7 6 4 4 6 7 7 6 5 4 4 4 5 5 5 5 nan
nan 6 6 4 4 5 7 8 8 7 5 3 3 6 7 4 3 3 1 1 2 4 6 6 6 6 7 7 9 9 9 10 10 9 9 9 9 8 7 6 6 6 7 7 6 6 7 6 6 7 8 8 8 8 9 9 8 8 7 6 6 5 5 5 6 6 7 8 8 7 5 4 3 4 6 7 7 7 8 9 9 8 7 7 8 9 10 10 8 6 6 5 6 8 8 8 8 6 4 4 5 6 8 9 10 10 9 8 6 5 4 3 2 3 3 4 3 3 3 2 1 2 5 6 7 9 9 7 6 6 6 7 7 7 7 7 7 7 8 8 8 6 6 6 6 7 8 8 8 7 5 3 3 5 6 5 4 4 4 5 5 6 6 5 5 nan
nan 6 5 5 5 4 5 7 8 7 5 4 5 6 4 2 4 6 2 -0 0 4 6 7 7 6 7 8 9 9 9 9 9 9 9 9 9 8 7 6 6 7 7 6 6 7 7 7 7 8 9 9 8 8 8 8 8 8 7 7 6 5 5 5 5 6 6 8 8 7 5 3 3 5 7 8 8 7 8 9 9 8 8 8 8 9 10 8 6 5 5 5 7 8 10 10 8 6 4 4 5 7 9 11 11 11 9 8 7 5 4 2 2 3 4 3 4 4 3 3 2 2 3 5 6 9 8 7 7 7 7 7 6 7 7 7 6 6 6 5 5 4 5 7 7 7 8 8 9 7 5 3 3 4 5 4 4 4 5 6 6 5 5 5 5 nan
nan 6 4 5 5 4 5 7 8 7 4 3 5 6 4 3 7 9 4 -2 -2 2 6 7 7 7 7 8 9 8 8 8 9 9 9 9 9 9 7 6 6 7 6 6 6 7 7 8 8 9 9 8 8 8 7 7 8 8 8 8 7 6 5 5 5 6 7 8 8 7 6 4 3 6 9 9 8 7 8 8 8 8 8 8 8 9 8 6 4 4 4 5 7 10 10 10 7 4 3 3 5 8 10 11 11 10 9 7 6 5 3 2 2 3 3 3 4 5 5 4 3 3 4 7 9 10 8 7 8 9 8 7 7 7 6 7 7 7 6 6 4 5 6 7 6 7 8 8 8 6 5 3 3 4 4 3 4 5 7 8 7 5 4 5 5 nan
nan 6 5 5 5 4 4 7 9 6 3 3 5 6 4 4 6 6 1 -3 -3 -0 3 5 6 7 8 9 8 7 7 8 8 8 8 9 9 8 8 7 6 7 6 6 6 7 8 9 9 9 9 8 8 7 7 7 8 9 10 10 8 7 6 5 5 6 7 7 7 6 5 5 6 8 10 9 8 7 7 7 8 8 7 8 8 8 7 6 5 3 3 6 8 9 8 7 5 3 2 3 5 8 10 11 10 9 8 7 5 4 3 2 3 3 3 3 4 5 5 4 4 4 6 11 16 13 7 7 8 8 7 7 7 7 7 8 8 8 9 11 8 7 6 6 6 6 6 7 6 6 5 4 5 5 4 3 3 6 9 9 8 6 5 5 5 nan
nan 7 6 5 5 4 5 7 7 6 4 4 7 6 4 3 4 3 1 -1 -1 -1 -0 2 3 4 6 8 8 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 7 8 9 10 10 9 8 8 8 8 8 9 10 12 12 12 10 8 5 4 5 6 6 6 5 5 6 7 9 9 10 9 8 7 6 6 6 6 7 7 8 8 7 6 5 4 4 6 7 7 7 5 3 2 1 2 5 8 9 10 9 8 8 7 5 4 2 2 3 3 3 3 4 5 5 5 4 4 5 12 20 13 7 7 8 7 7 7 6 7 8 9 9 10 13 13 9 7 6 6 6 6 6 6 6 6 6 6 6 6 4 2 3 5 9 10 9 6 6 6 6 nan
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nan 7 7 6 5 4 5 5 3 5 9 7 5 5 6 7 7 7 5 2 2 6 7 7 6 7 6 3 2 1 -0 0 4 6 7 7 8 6 5 4 3 2 3 5 7 8 8 8 8 8 6 5 6 8 11 12 14 10 6 4 4 4 4 3 2 3 5 5 3 3 4 4 6 5 5 7 9 8 6 5 4 4 4 4 4 5 6 7 7 7 8 8 8 6 5 5 4 4 4 5 7 9 11 11 10 8 7 6 5 5 6 6 6 6 5 4 4 4 5 7 12 21 26 19 11 7 6 7 8 8 8 9 11 12 10 10 9 8 7 7 7 6 6 5 5 5 5 4 4 5 5 7 8 8 7 4 2 2 2 2 2 3 3 3 3 nan
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nan 15 13 13 16 17 15 11 11 11 8 3 -1 -3 -4 -1 1 2 2 4 5 7 11 13 13 10 8 9 8 8 8 8 10 10 10 9 8 11 13 13 13 12 12 12 11 9 11 13 12 12 11 12 12 12 13 17 17 13 10 7 7 8 4 9 14 9 2 -2 4 10 8 5 5 6 5 3 3 6 7 7 8 7 5 7 8 9 9 9 11 13 12 10 10 10 7 6 7 9 7 2 3 6 6 5 7 10 12 13 10 9 6 2 0 -2 -3 1 3 3 4 6 8 11 12 15 13 7 7 10 13 13 10 8 10 11 9 7 5 7 8 8 8 7 7 6 6 7 7 7 6 6 6 8 9 11 11 9 7 7 8 9 8 7 6 6 6 nan
nan 21 21 21 23 26 26 21 15 13 12 10 6 3 0 0 2 2 2 3 3 4 7 13 15 13 9 7 6 6 7 6 6 7 7 6 4 5 8 8 10 10 11 11 12 9 9 11 11 11 11 10 11 12 13 16 18 16 12 8 6 9 6 5 14 13 8 2 0 7 11 9 7 7 5 4 2 4 6 6 7 7 7 7 8 9 9 9 10 12 13 11 9 9 8 7 7 9 10 6 3 4 5 6 6 7 10 12 11 10 8 6 4 1 -2 -2 -1 -2 -3 1 7 10 11 16 13 5 5 10 13 14 12 11 10 10 10 9 7 6 7 7 7 7 7 7 6 6 8 7 6 5 5 5 9 10 10 9 9 8 7 9 8 7 6 6 6 nan
nan 13 17 20 24 29 34 33 25 18 17 17 15 11 6 3 4 4 4 4 2 2 4 9 14 14 12 9 6 6 7 6 5 4 5 5 5 4 5 4 5 7 7 8 9 9 7 8 9 9 9 9 10 11 11 13 17 18 15 10 5 8 9 8 10 10 11 10 4 4 8 9 8 9 8 6 3 3 4 5 6 7 7 8 8 8 9 9 8 9 12 13 9 8 8 8 7 7 9 9 6 4 4 6 7 7 7 9 10 10 10 9 7 5 2 1 1 -2 -4 -3 2 5 10 11 8 5 6 9 11 11 12 13 12 11 11 11 10 8 7 7 7 7 7 7 6 6 7 6 6 5 4 5 8 9 8 9 10 9 7 8 9 8 7 6 6 nan
nan 7 9 12 15 20 29 37 37 28 22 22 20 15 9 5 4 5 4 4 3 4 4 4 8 11 12 11 8 7 8 7 6 5 5 6 7 6 5 4 3 5 5 5 5 6 6 6 7 8 9 10 10 10 9 11 15 18 18 14 7 5 9 11 9 7 8 11 9 6 7 7 8 9 10 8 6 5 4 5 5 7 7 7 7 8 8 8 6 7 11 13 10 9 9 8 7 5 5 7 9 7 3 6 9 8 5 6 9 10 10 11 11 8 6 5 4 2 -0 -1 -0 2 4 4 5 7 8 8 9 10 11 12 12 11 11 11 11 10 9 8 7 7 8 7 7 6 7 7 6 6 5 5 7 8 7 8 10 10 8 8 10 9 8 7 7 nan
nan 7 9 9 9 11 17 27 36 38 33 28 23 17 10 5 5 5 4 4 4 7 6 3 3 5 8 10 11 10 9 8 7 5 4 6 9 9 8 5 4 5 6 5 5 6 7 7 7 9 10 11 10 9 8 9 13 17 19 18 12 5 6 10 12 9 7 7 6 7 7 5 7 8 10 10 8 7 6 5 5 6 6 6 8 8 8 7 6 6 11 13 11 10 10 9 8 5 3 5 9 8 4 3 8 9 7 7 7 8 8 11 14 12 9 8 6 6 5 4 3 2 2 1 4 7 9 6 7 9 9 11 12 12 11 10 11 12 10 8 7 7 8 9 8 7 7 8 8 8 6 5 5 7 7 7 8 9 8 7 9 10 9 8 7 nan
nan 8 9 9 9 8 9 13 21 32 38 36 29 20 12 6 5 6 6 5 5 7 6 5 3 2 4 8 12 12 11 10 8 7 3 4 8 11 12 9 5 6 8 8 7 7 9 9 8 9 11 11 10 8 7 8 10 14 18 19 15 9 6 8 11 12 11 8 4 5 5 5 8 8 9 9 8 9 8 6 4 4 5 6 8 8 8 7 6 6 8 11 11 11 10 10 9 6 4 5 8 9 6 3 5 9 9 8 6 5 6 8 13 14 11 9 8 8 8 8 6 5 4 4 5 7 7 4 6 7 8 10 11 12 11 11 11 12 11 9 7 6 7 8 9 8 8 8 8 8 9 7 6 6 7 7 7 7 7 6 8 10 10 8 7 nan
nan 9 10 10 9 9 8 8 11 18 30 37 36 27 16 8 6 6 6 6 6 5 5 6 7 4 2 4 9 12 13 12 11 10 5 2 5 10 13 13 10 8 9 10 9 8 10 11 9 10 11 11 11 9 7 7 8 10 14 18 16 12 10 7 7 10 13 12 7 5 3 3 7 10 9 8 7 7 7 6 3 2 4 6 8 8 9 8 7 6 6 8 9 10 9 10 9 7 4 5 7 9 9 6 3 7 10 9 7 6 5 7 11 12 11 11 9 7 8 8 8 7 7 7 7 9 8 6 6 7 8 10 11 12 11 10 10 12 13 11 8 6 6 7 8 9 9 7 7 8 9 9 8 7 7 7 8 7 6 5 6 10 10 9 8 nan
nan 9 10 10 10 9 9 9 9 12 18 28 36 36 26 14 7 5 5 6 6 5 3 6 9 6 2 0 4 11 14 12 10 10 8 4 3 7 12 15 14 10 9 10 10 10 9 11 11 11 12 11 10 10 8 7 8 8 11 15 18 16 13 10 7 6 9 13 11 6 3 2 5 8 9 8 7 7 6 5 2 1 3 7 8 8 9 9 8 7 7 7 8 8 8 8 8 8 5 4 3 6 11 11 6 5 8 9 9 8 6 7 8 10 10 12 11 10 8 7 8 7 7 7 8 9 10 8 6 6 7 8 10 13 12 9 9 9 12 12 9 8 7 8 9 8 9 8 7 7 7 8 9 8 7 6 7 8 7 6 6 8 10 10 9 nan
nan 8 9 10 10 10 10 10 12 12 13 18 28 37 38 27 13 6 4 4 4 4 3 5 9 9 5 1 1 7 13 14 11 8 7 5 3 4 9 13 14 12 9 9 10 11 9 10 11 12 13 12 10 9 9 9 8 8 9 13 17 18 18 15 11 6 5 10 11 8 6 5 4 4 6 8 8 8 7 6 2 0 4 8 9 8 8 8 8 7 7 8 8 8 9 8 7 7 6 4 1 2 7 12 10 8 7 8 8 9 8 7 7 8 8 10 12 12 10 9 8 8 8 8 8 9 10 10 8 7 5 4 7 11 13 12 11 9 9 10 9 9 9 10 9 8 10 10 9 8 7 7 8 8 8 7 6 7 8 6 5 7 9 9 9 nan
nan 7 8 9 10 11 11 11 12 13 13 14 18 26 36 39 29 14 6 3 2 4 3 4 8 10 7 4 1 2 8 13 14 11 8 6 5 4 6 10 12 12 11 10 10 10 9 9 10 11 12 14 11 9 9 10 9 8 8 11 14 16 18 19 18 12 6 7 9 9 7 7 7 3 3 7 8 8 8 7 3 1 5 9 11 10 9 8 7 7 7 8 9 9 10 10 8 7 7 6 3 1 5 8 9 9 8 8 8 9 9 9 8 7 7 8 10 10 11 11 10 9 10 10 10 10 10 10 10 10 8 5 5 8 11 13 13 11 9 8 7 7 7 10 10 9 9 10 10 8 6 7 8 9 8 8 8 7 8 7 6 7 7 8 8 nan
nan 8 7 8 9 10 12 12 13 13 13 13 11 13 22 36 43 33 18 6 2 2 2 3 6 8 8 7 5 2 2 8 12 13 12 9 7 7 7 9 11 11 11 10 10 11 9 8 9 9 10 13 12 9 8 9 9 9 9 10 11 12 14 17 20 18 11 8 9 8 8 7 8 5 3 6 7 7 7 7 4 3 7 10 10 10 10 8 8 8 9 8 9 9 10 11 9 8 7 7 5 3 4 6 7 7 7 8 8 8 9 11 11 7 6 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 10 9 6 7 10 13 13 12 10 8 8 7 5 7 11 10 9 9 10 9 7 6 8 9 9 9 8 8 8 8 6 7 7 8 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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