Vorticity
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nan 6 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 8 8 8 7 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 5 6 7 8 9 9 8 7 6 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 9 9 9 10 11 13 14 14 12 10 8 7 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 8 7 5 4 4 5 7 8 8 8 7 6 6 5 5 6 7 8 9 9 8 8 7 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 10 11 12 13 13 12 10 8 7 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 7 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 8 9 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 7 8 8 9 9 9 9 8 7 6 4 4 4 5 7 8 8 7 6 6 6 5 6 6 8 9 10 10 9 7 6 5 6 6 7 7 7 7 7 8 8 8 9 9 10 10 10 11 12 13 13 12 10 8 7 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 9 9 9 10 10 9 8 6 5 4 4 5 6 7 8 7 7 6 6 6 6 6 7 8 9 10 9 8 6 6 6 6 6 7 7 7 7 7 8 8 9 10 10 10 11 11 11 13 13 13 12 10 9 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 6 7 7 7 7 6 6 7 7 7 8 8 9 9 9 8 7 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 10 10 9 9 9 10 11 10 9 8 7 6 5 5 5 6 7 8 7 7 6 7 7 7 6 6 7 8 9 9 8 7 6 6 6 6 6 6 6 7 7 7 7 9 10 11 11 11 11 12 12 13 14 14 13 11 9 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 6 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 11 12 12 12 11 11 10 9 11 11 11 10 9 8 7 6 5 6 7 8 8 7 7 7 8 7 7 6 6 7 8 9 9 8 7 7 7 6 5 5 5 6 7 7 7 7 8 9 11 11 12 12 12 12 13 15 16 16 14 11 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 5 5 6 7 7 6 6 6 7 7 7 6 6 7 7 8 8 8 8 9 9 9 9 9 8 9 9 10 11 11 11 12 12 11 11 11 12 13 13 12 11 10 9 9 10 11 11 11 11 9 8 6 5 6 7 8 8 7 7 8 8 8 7 6 6 7 8 8 8 8 7 7 7 7 6 5 6 7 7 7 7 7 7 8 9 11 12 12 12 12 13 15 17 17 17 14 11 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 5 5 6 7 7 7 6 7 7 7 7 6 6 6 6 7 8 8 8 9 9 10 10 10 9 8 8 9 9 9 9 10 10 9 9 10 10 11 11 11 9 8 7 6 8 9 10 11 10 9 8 6 5 5 7 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 7 7 7 7 7 7 7 8 9 10 12 12 13 13 14 15 16 17 17 15 11 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 7 5 5 7 7 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 9 11 11 10 8 7 6 7 7 7 7 7 7 7 7 8 8 8 9 8 8 6 5 4 6 7 8 8 8 8 7 6 6 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 9 8 8 7 7 7 6 7 7 7 7 7 6 6 7 7 8 10 11 12 13 13 13 14 16 17 17 14 11 8 7 6 6 6 6 6 6 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 10 8 6 5 6 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 7 6 6 6 7 7 7 7 6 6 6 7 7 7 8 8 7 6 5 4 5 6 6 6 5 5 5 6 7 8 9 9 9 9 9 9 9 9 9 10 10 9 7 6 7 8 9 9 8 8 7 7 7 7 7 7 7 6 7 7 6 6 7 8 9 10 11 11 12 12 14 16 17 16 14 11 8 7 6 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 8 7 6 6 7 8 8 8 7 6 7 7 7 7 7 7 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 7 6 6 6 7 7 8 8 8 8 7 6 6 6 6 6 5 5 5 4 5 6 8 9 9 9 10 9 8 8 8 9 10 10 9 8 6 6 8 9 9 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 7 8 8 9 11 12 13 14 16 17 16 14 11 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 7 7 6 7 7 8 8 8 7 6 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 9 9 8 8 7 7 7 7 6 6 5 5 5 6 7 8 9 9 9 9 8 8 8 8 9 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 10 11 13 13 15 16 17 16 14 12 10 9 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 8 8 9 9 8 8 8 7 8 8 9 9 9 8 8 7 7 7 8 9 9 9 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 9 10 12 13 15 16 17 17 16 15 14 12 10 9 8 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 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 nan
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nan 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 8 7 5 4 5 6 7 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 5 4 4 5 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 13 13 14 14 15 16 16 16 16 15 13 11 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 nan
nan 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 8 7 6 5 5 6 6 7 8 8 8 8 7 7 7 8 8 8 9 9 8 7 7 6 6 6 6 5 5 6 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 8 9 9 10 10 11 12 13 13 15 16 18 19 18 16 14 12 11 10 10 9 9 9 8 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 nan
nan 8 7 7 7 7 7 7 7 7 8 8 8 9 10 10 9 8 7 7 6 6 6 6 7 7 7 7 8 8 8 7 7 6 7 8 8 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 9 9 10 11 12 13 15 18 21 21 21 19 18 15 13 11 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 8 8 8 8 7 8 8 8 8 8 8 8 9 10 9 8 8 7 7 6 6 6 6 6 7 7 8 8 8 7 6 5 6 6 7 8 9 9 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 10 11 11 11 12 14 17 19 21 22 22 22 20 17 13 11 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
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nan 9 9 9 9 10 10 10 10 10 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 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 9 9 8 6 6 6 6 7 7 8 8 7 6 6 6 7 8 9 9 9 8 9 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 9 11 12 11 11 11 11 11 11 10 9 8 7 7 8 9 9 10 10 10 11 11 11 11 11 11 11 10 9 9 9 10 11 11 10 9 9 8 9 11 12 13 15 15 14 14 14 14 13 12 11 9 9 9 10 10 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 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 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 7 6 5 4 3 4 4 5 6 6 5 5 6 8 8 9 9 9 9 9 9 10 11 10 9 9 10 11 12 11 9 8 8 8 8 9 10 10 11 11 12 11 11 10 10 10 9 9 9 8 8 9 10 10 10 10 11 11 11 10 9 8 7 7 8 9 9 9 9 10 10 10 10 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 10 11 11 11 10 10 10 11 12 12 13 12 9 7 6 9 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 10 10 10 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 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 11 10 10 9 7 6 5 4 4 5 5 6 7 8 7 7 7 8 9 9 10 10 9 9 9 10 11 10 9 8 8 10 12 13 12 10 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 8 9 8 7 7 7 9 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 11 12 13 13 13 12 11 9 8 7 7 8 9 10 10 10 9 6 4 4 5 6 6 7 8 7 4 2 4 9 12 12 9 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 10 9 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 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 7 6 5 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 9 10 11 11 10 10 10 10 11 11 11 10 10 10 9 9 9 10 11 11 11 11 11 10 9 8 7 6 6 8 9 9 9 8 7 7 7 8 9 10 10 9 9 9 8 8 8 8 9 10 11 12 12 12 10 8 7 6 7 8 10 11 11 12 10 7 5 5 4 4 3 3 4 4 1 1 6 10 12 9 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 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 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 5 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 8 7 7 7 9 10 10 9 8 9 10 11 12 11 10 10 9 9 9 9 10 11 11 11 11 11 11 10 9 8 7 8 10 11 10 9 8 8 8 8 9 9 10 10 10 10 9 9 7 7 7 8 8 9 10 11 10 9 8 8 7 8 9 10 11 12 12 11 10 9 9 7 6 5 6 7 6 6 8 11 13 11 7 6 7 8 9 9 9 9 9 8 8 8 9 10 11 11 10 9 9 8 8 8 9 9 10 nan
nan 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 8 8 8 7 7 7 7 7 8 7 7 7 6 6 6 6 6 5 5 5 6 7 8 8 9 9 9 9 9 9 8 8 9 9 9 8 9 9 10 9 9 9 9 9 9 9 8 7 7 7 8 9 9 8 8 8 9 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 11 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 11 12 12 11 11 11 10 9 9 10 11 12 12 13 15 17 16 14 12 12 12 13 12 12 11 10 9 9 9 10 12 15 15 12 10 8 8 8 8 9 10 10 11 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 7 7 6 6 6 6 6 5 5 6 7 8 9 9 9 9 9 9 9 8 8 9 10 10 11 10 10 11 12 13 12 11 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 10 11 11 11 10 10 9 9 9 9 8 7 7 7 7 8 9 9 9 8 7 7 8 9 9 9 9 10 10 10 11 12 12 12 11 11 11 11 10 9 9 9 10 11 12 13 14 15 17 18 17 16 16 16 17 17 17 16 14 12 11 11 11 13 16 17 14 10 8 7 8 8 9 10 10 10 10 nan
nan 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 8 9 10 10 10 10 9 9 9 9 10 11 13 13 14 13 12 11 11 12 13 13 11 10 9 9 9 9 9 8 8 8 8 8 7 8 9 8 8 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 8 7 6 5 6 6 7 9 10 10 11 10 8 8 8 9 9 9 9 10 10 11 12 14 14 13 12 11 10 10 9 8 7 7 8 8 9 11 12 13 14 14 13 13 14 15 15 16 17 16 15 14 15 15 15 15 16 15 11 8 7 9 10 11 11 10 9 9 8 nan
nan 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 11 12 14 14 13 11 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 8 9 10 10 10 10 10 10 10 11 12 13 15 16 16 15 13 11 10 10 10 10 10 10 9 9 9 10 10 10 8 8 8 8 8 8 10 11 9 8 8 8 9 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 9 8 6 5 4 5 6 8 9 10 11 12 11 10 9 9 8 8 9 9 9 9 10 11 13 14 15 15 12 10 9 9 8 7 7 6 6 6 7 9 11 12 12 11 10 10 10 11 12 12 13 13 13 15 17 17 16 15 15 14 12 11 12 13 13 12 10 7 6 6 6 nan
nan 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 10 11 13 15 17 17 15 13 12 10 10 9 9 9 9 9 9 10 10 9 8 7 6 6 7 7 9 10 11 11 11 11 10 10 10 11 12 14 16 17 16 14 12 11 10 9 9 9 9 9 8 8 8 9 10 10 10 9 8 8 8 9 10 12 12 10 8 8 8 9 10 10 10 9 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 10 10 10 9 7 4 3 4 5 8 10 11 12 13 12 10 9 8 8 8 9 10 10 10 9 10 11 13 15 16 15 13 11 10 9 8 6 5 4 3 5 7 10 13 14 13 11 10 9 9 9 10 10 10 10 12 13 14 14 14 14 16 16 14 12 10 9 8 6 3 2 3 5 6 nan
nan 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 13 16 17 16 15 14 13 13 12 10 9 8 7 8 9 10 10 9 7 6 6 7 7 8 9 10 11 12 12 11 11 10 10 10 11 12 14 16 15 13 11 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 12 12 10 8 7 7 8 8 8 8 8 7 8 8 8 7 5 6 9 9 8 7 7 7 8 9 9 10 10 9 8 6 4 3 4 6 10 12 13 12 11 10 8 7 7 7 8 10 10 10 9 9 10 11 12 14 15 15 14 13 12 9 7 4 2 1 3 6 9 12 14 15 13 11 9 8 8 9 9 10 10 10 11 11 11 10 11 12 13 12 9 3 -1 -3 -3 -2 -2 1 4 6 8 nan
nan 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 12 15 17 16 13 11 11 11 11 11 10 9 8 8 8 9 9 8 6 6 7 8 9 9 10 11 11 11 11 11 10 10 9 9 9 9 10 12 12 11 10 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 8 7 7 8 9 8 7 6 5 5 6 7 7 5 4 6 8 8 7 6 6 6 7 8 9 9 8 8 8 7 5 4 5 8 12 14 14 11 9 7 6 6 6 8 9 10 9 8 8 8 9 10 11 12 13 14 14 14 12 9 5 2 0 1 4 7 9 12 15 15 13 10 8 8 8 9 10 10 10 10 10 10 9 9 10 9 9 6 0 -6 -9 -8 -5 -2 1 4 6 8 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 10 13 17 17 14 12 10 9 9 9 9 8 8 8 9 9 8 7 6 6 7 9 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 9 10 10 9 8 6 5 6 6 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 8 8 10 9 8 5 3 4 5 7 8 7 5 5 7 8 8 8 7 7 7 7 8 8 8 8 9 9 7 5 5 7 9 11 13 13 12 9 7 5 5 7 9 10 9 7 7 7 7 8 8 9 10 11 12 12 13 11 8 5 2 0 3 6 7 9 12 14 13 12 11 9 8 9 9 10 10 10 10 10 10 9 9 9 8 6 1 -5 -8 -7 -4 0 3 5 7 8 9 9 nan
nan 9 9 9 10 10 10 9 10 10 10 10 10 10 9 9 9 8 8 8 7 8 10 15 18 16 13 11 9 9 8 8 7 6 6 6 7 8 7 7 7 8 9 10 11 11 12 11 11 10 9 8 7 7 7 7 7 8 9 10 10 10 10 9 7 6 5 5 6 7 8 8 8 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 7 3 2 5 7 9 9 7 6 7 8 8 8 8 8 8 8 7 8 8 9 10 12 11 8 6 7 9 9 9 11 13 13 11 8 5 5 7 9 8 7 6 6 7 7 7 7 8 8 9 9 10 11 10 8 5 2 2 5 6 7 9 12 13 13 13 11 10 9 9 9 10 10 11 11 10 10 10 9 8 6 0 -5 -8 -7 -4 1 4 6 8 9 9 9 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 5 5 5 7 12 18 18 15 11 9 8 8 8 7 6 5 3 3 4 6 8 8 9 10 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 9 11 12 13 13 12 9 7 5 5 5 6 6 7 7 8 8 9 10 10 11 11 11 10 10 9 9 9 9 9 10 10 9 8 6 5 5 7 9 10 10 8 8 8 8 8 8 8 9 9 9 9 9 9 9 11 12 10 8 7 8 9 8 8 10 13 14 11 8 6 6 7 7 7 5 5 6 7 7 8 7 7 7 7 7 9 9 9 8 7 5 5 6 7 8 10 11 12 13 14 12 11 10 9 9 10 10 10 10 10 10 10 9 6 0 -5 -8 -7 -4 0 4 6 7 8 9 9 9 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 11 10 9 7 5 4 4 5 7 11 16 18 16 12 9 8 7 7 7 7 6 5 4 3 3 6 9 10 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 10 11 12 14 14 12 10 8 7 6 5 5 6 6 6 6 7 8 8 9 11 11 11 10 10 9 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 8 7 8 8 9 9 10 9 8 7 7 8 9 8 8 8 9 9 8 8 9 11 11 10 8 7 8 8 8 7 6 6 7 9 9 9 8 7 6 6 7 8 8 9 10 8 8 8 8 8 9 10 11 12 14 14 12 11 10 9 9 10 10 10 10 10 10 10 9 4 -1 -3 -3 -1 2 4 6 7 7 8 9 9 9 9 nan
nan 10 10 10 10 10 10 9 9 10 10 11 11 10 7 4 3 4 6 9 13 17 19 17 14 10 7 7 7 6 7 7 7 7 5 4 4 5 8 10 11 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 11 11 10 8 8 8 7 6 6 6 6 7 7 9 10 10 10 10 10 9 9 9 8 7 7 7 7 8 9 9 9 8 8 8 9 9 9 8 8 8 8 9 9 8 7 6 5 5 7 8 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 8 8 9 10 11 11 10 9 8 6 6 6 7 7 9 10 9 9 8 8 9 9 9 10 11 13 13 12 11 9 8 8 9 9 10 10 10 11 11 10 7 6 6 6 6 6 6 5 6 7 8 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 10 11 11 10 6 4 3 4 6 9 12 15 17 17 15 12 8 7 7 7 7 7 7 7 7 7 6 4 5 7 10 11 10 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 8 8 8 10 12 13 13 12 11 10 8 6 5 5 6 6 6 7 8 9 10 10 10 10 11 11 10 8 7 7 8 9 9 10 9 9 8 8 7 7 8 8 9 9 9 8 7 6 5 5 6 8 9 10 10 9 9 9 9 10 10 9 8 7 6 7 8 9 9 10 9 9 9 10 10 9 9 8 7 6 5 5 6 7 9 9 9 9 9 9 9 9 9 10 12 13 12 12 11 9 8 8 8 9 10 10 10 11 11 10 11 12 13 10 7 5 4 4 6 7 8 8 9 9 10 nan
nan 9 9 9 9 9 8 8 9 10 11 10 7 5 5 6 8 10 11 12 13 15 15 14 11 8 7 7 7 7 7 7 8 8 8 7 6 5 7 10 12 11 10 10 10 11 11 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 11 12 12 12 12 10 8 6 4 4 4 5 6 7 8 8 9 10 11 12 13 13 12 10 9 9 10 11 12 12 12 11 10 9 8 8 8 9 10 10 9 8 6 6 6 7 9 10 10 10 9 8 8 9 11 11 10 9 8 8 7 8 9 9 9 9 9 9 9 9 8 7 7 7 7 6 5 5 6 8 9 10 10 10 10 10 10 10 9 11 12 12 13 13 11 9 8 8 8 10 10 10 11 11 10 10 11 12 10 6 3 1 2 4 6 7 8 9 9 10 10 nan
nan 9 8 8 8 8 9 9 10 10 10 8 7 7 9 11 12 13 12 12 13 15 16 14 12 9 8 8 8 8 8 8 8 8 8 8 6 5 7 10 12 12 11 11 11 11 10 9 9 8 7 7 7 8 8 7 7 6 6 6 6 6 6 7 8 9 10 11 11 10 9 7 5 4 3 4 6 7 9 9 9 8 9 10 11 12 13 12 11 11 12 13 13 14 14 15 14 13 12 11 11 12 12 12 11 9 7 6 7 8 10 11 10 10 9 8 8 10 12 14 13 12 10 9 9 9 9 9 8 8 8 8 9 9 8 7 7 6 6 7 7 6 7 8 10 10 11 12 12 12 11 10 9 9 10 10 11 13 12 10 9 8 8 9 10 10 10 10 10 10 10 10 8 4 1 -1 -0 3 5 7 8 9 9 10 10 10 nan
nan 8 8 8 8 9 9 10 10 10 9 8 9 10 12 13 13 13 13 13 14 16 17 14 12 10 9 9 8 8 8 8 8 8 8 9 7 6 7 9 11 12 12 11 11 11 10 9 8 8 7 7 7 8 8 8 8 7 7 6 6 6 5 6 6 7 9 10 9 8 7 6 6 5 4 5 7 9 10 10 9 8 8 8 8 9 9 10 10 11 12 13 13 14 15 15 14 14 14 14 15 15 15 13 11 8 7 7 8 10 12 12 11 10 9 9 10 12 14 14 13 12 11 10 10 10 10 9 8 8 8 9 10 9 9 9 8 7 7 8 9 9 10 11 12 12 13 14 14 13 12 10 8 9 9 9 11 11 10 9 8 8 9 10 10 10 10 10 10 9 9 9 7 4 3 2 4 6 7 7 8 9 10 10 10 10 nan
nan 8 8 8 9 9 10 10 9 9 9 9 10 11 11 11 11 11 11 12 13 14 14 12 10 9 8 8 8 8 8 8 8 8 8 9 8 7 7 9 11 12 12 12 11 11 10 10 9 9 8 8 9 9 9 9 8 8 7 7 6 6 6 5 5 6 7 8 8 7 7 7 7 6 6 7 8 9 9 9 8 7 7 6 5 6 7 8 10 10 11 11 11 12 12 12 11 11 12 12 13 13 12 11 9 8 8 8 9 11 13 12 12 10 9 10 11 12 13 13 12 12 11 11 11 11 11 11 10 10 11 11 11 11 10 10 9 9 9 10 11 12 13 13 14 14 15 16 16 15 13 10 9 9 9 10 11 10 9 8 8 8 9 10 10 10 10 10 9 9 9 9 8 9 9 8 8 8 8 8 9 10 10 10 10 10 nan
nan 8 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 10 9 8 8 7 8 8 8 8 8 8 8 9 9 8 8 8 9 12 13 12 12 12 12 11 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 6 6 5 6 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 6 6 6 7 9 10 10 9 9 8 9 9 9 7 7 7 8 8 9 9 9 9 8 8 9 11 12 11 10 8 6 6 7 8 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 10 10 10 11 12 13 13 13 13 14 15 16 17 16 14 12 11 10 11 11 11 9 9 8 8 9 10 10 10 10 10 9 9 9 9 9 10 12 12 12 11 9 8 9 9 10 10 10 10 10 nan
nan 9 10 10 11 10 10 9 9 9 9 9 8 9 9 9 8 9 9 9 9 9 9 9 8 7 6 7 7 7 8 8 8 8 9 9 9 8 8 9 10 11 11 11 11 12 12 12 11 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 10 10 10 9 8 7 7 8 10 11 10 9 8 8 8 7 5 3 3 4 5 6 7 8 8 7 6 6 7 8 8 6 3 1 0 1 2 4 5 4 5 6 8 9 11 11 12 12 12 12 12 12 12 12 12 11 11 10 9 10 10 10 11 11 11 12 12 13 14 14 15 15 15 14 12 11 10 9 9 9 9 10 11 11 10 10 10 9 9 9 9 9 10 11 12 12 13 13 11 10 9 9 9 9 10 10 9 nan
nan 10 10 10 10 10 9 9 9 8 7 6 7 8 9 9 9 8 7 7 8 9 9 8 7 6 6 6 7 7 7 8 8 9 9 10 9 9 9 10 9 8 8 9 10 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 6 6 7 7 8 8 7 8 8 9 11 12 12 11 10 8 8 8 9 10 11 11 10 9 8 8 6 4 3 4 6 7 7 7 7 5 3 3 3 3 3 1 -0 -1 -2 -1 1 2 3 2 1 1 3 5 8 9 10 11 10 10 10 10 10 10 11 11 11 10 9 8 9 9 9 10 11 11 11 12 12 11 10 11 13 15 13 11 9 8 8 9 10 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 12 14 14 13 12 10 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 7 6 5 5 7 9 9 8 7 6 6 7 8 8 7 6 6 6 6 7 7 7 8 8 9 10 10 10 10 11 10 9 8 7 7 8 10 11 11 11 11 12 12 12 12 11 10 10 10 10 9 9 8 8 8 8 8 7 7 5 5 6 7 8 8 8 8 9 11 12 12 12 10 9 8 8 8 9 10 10 9 8 8 8 8 8 8 8 9 10 9 8 8 7 5 4 3 3 3 2 1 0 1 3 4 5 6 6 5 5 5 6 8 8 9 9 10 11 12 11 10 9 10 10 10 9 8 9 9 9 10 11 11 12 12 12 12 11 9 8 8 10 11 11 10 8 8 9 10 11 11 11 10 9 9 9 9 10 10 10 10 10 11 11 11 13 15 15 15 13 11 9 8 9 9 9 9 nan
nan 8 8 8 8 9 9 9 8 6 5 4 5 7 9 9 8 7 6 5 5 6 7 7 7 6 6 6 7 7 7 8 8 9 10 10 11 11 10 10 9 9 8 7 7 8 9 10 10 11 12 13 14 13 12 11 10 9 8 7 6 6 6 7 8 8 8 6 5 4 5 6 8 8 8 8 9 11 12 12 11 10 9 9 9 9 9 8 7 6 6 7 8 9 11 12 13 12 12 11 9 9 8 8 7 7 7 6 6 6 6 7 7 7 8 8 8 9 10 11 12 12 11 11 12 13 15 15 14 12 12 11 11 11 10 10 11 12 11 12 12 12 12 11 10 10 9 8 8 8 9 10 11 10 10 10 10 10 10 10 9 9 8 8 9 10 10 11 11 11 12 12 12 12 13 14 15 16 15 11 9 8 9 9 10 10 nan
nan 8 8 8 9 10 10 8 7 6 5 6 7 8 10 10 9 7 5 4 4 6 7 7 7 7 7 6 6 7 7 7 7 8 9 10 10 10 10 9 9 9 9 8 8 8 9 9 10 11 12 13 14 14 13 12 10 8 6 3 1 2 3 6 8 9 8 6 4 4 5 7 8 8 8 9 10 12 12 11 11 10 10 10 10 10 9 7 6 7 8 9 10 11 12 12 12 12 12 11 10 10 10 10 9 9 10 10 10 9 8 8 8 8 8 9 10 12 13 14 14 14 15 15 17 18 19 17 14 13 13 13 13 13 13 14 15 14 13 12 12 11 10 9 9 8 8 9 10 10 11 11 12 12 12 11 11 10 10 9 9 8 9 9 10 10 11 12 12 13 13 14 14 13 13 12 14 16 16 13 11 11 11 12 12 11 nan
nan 8 8 8 9 10 10 8 7 6 7 7 9 11 12 11 9 7 5 4 5 7 8 9 9 8 7 7 7 7 6 6 7 7 8 9 10 9 9 9 9 9 9 8 8 9 9 10 10 10 11 12 13 14 14 13 12 10 7 4 2 2 3 6 8 8 8 6 4 4 6 7 8 8 8 9 11 12 12 11 10 9 10 10 10 10 8 8 8 9 10 11 11 11 11 11 11 12 11 11 12 13 13 13 13 14 14 13 12 10 9 8 8 9 11 13 15 16 16 15 14 15 16 18 20 20 19 16 13 13 13 13 13 14 15 16 15 13 12 11 10 10 9 8 8 8 10 12 13 14 15 14 12 12 12 12 11 10 9 8 8 9 9 9 9 10 11 12 13 14 15 15 14 14 13 13 13 15 15 16 17 18 18 18 17 15 nan
nan 8 9 9 10 10 10 9 7 6 6 8 10 13 13 11 8 6 5 5 6 8 9 10 10 9 8 7 7 7 7 6 6 7 8 9 9 9 10 10 9 9 8 7 8 9 10 10 9 9 9 11 13 14 14 14 14 13 12 10 9 8 8 7 7 6 5 4 4 5 6 7 8 7 8 9 10 11 10 10 9 9 10 10 10 9 8 8 9 10 11 12 12 12 11 10 10 10 10 11 12 14 15 16 18 18 18 17 15 13 12 12 13 15 18 20 21 20 16 14 13 14 16 17 19 19 18 16 14 13 12 12 11 12 13 14 13 12 11 10 9 8 8 7 8 9 12 15 16 17 17 14 12 11 11 11 10 9 8 7 8 8 8 8 8 9 10 12 13 14 15 15 15 14 13 13 12 12 14 17 20 21 20 21 21 22 nan
nan 9 9 9 10 11 10 9 8 5 5 8 11 13 12 9 8 7 7 7 7 8 9 11 11 10 8 7 7 7 7 7 7 7 8 8 8 9 10 10 10 9 7 7 7 8 10 10 10 9 9 10 12 13 14 13 13 13 14 14 13 14 13 9 7 5 3 2 3 5 7 7 7 7 7 8 9 9 10 9 9 9 10 10 10 9 8 9 9 10 12 13 12 11 10 9 8 7 7 9 10 12 13 15 15 15 15 15 15 15 15 17 19 21 22 22 21 18 14 12 12 12 13 15 17 19 20 18 16 14 12 11 10 10 11 11 11 11 10 9 9 8 8 8 9 11 13 14 15 17 16 12 10 8 7 7 7 7 6 7 7 8 8 7 7 8 10 12 12 13 14 14 14 13 12 11 9 9 11 13 15 15 16 18 21 24 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
2 1 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 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 6 20 43 48 33 15 9 10 14 15 17 19 20 21 21 22 23 24 24 25 25 25 25 25 25 29 33 38 38 35 31 25 19 16 15 13 11 12 14 19 23 22 19 17 15 14 12 9 8 10 11 10 12 11 10 9 9 9 8 7 6 6 5 4 5 4 4 4 4 6 7 7 8 8 8 8 10 11 11 10 9 8 8 8 8 8 8 7 7 7 7 7 7 9 11 11 12 13 13 11 12
1 1 1 2 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 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 0 0 1 3 21 41 45 28 13 11 13 13 15 17 19 20 21 22 23 24 26 27 27 27 27 27 30 32 35 41 47 47 41 34 29 24 19 15 13 13 14 18 22 25 24 22 21 20 19 19 22 20 19 19 17 14 12 10 9 9 9 8 8 7 6 4 4 4 4 4 4 6 7 8 8 8 7 8 9 9 9 9 9 8 7 7 7 7 6 7 7 7 6 6 6 7 9 10 11 13 13 12 11
2 1 1 1 2 2 2 2 2 3 3 2 2 2 2 2 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 0 0 0 0 0 0 0 5 16 32 38 26 14 13 13 14 15 17 20 23 23 22 23 25 26 26 26 26 27 29 33 38 42 47 48 43 38 34 31 27 24 22 21 19 21 25 29 27 24 23 23 22 22 22 21 23 22 19 15 13 12 11 10 9 8 8 8 8 6 4 4 3 3 4 6 8 9 8 8 7 7 8 8 9 9 8 7 7 6 5 5 5 5 6 5 5 5 6 6 7 10 11 12 12 12 11
2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 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 0 0 0 0 0 0 3 12 29 33 21 14 12 12 13 14 20 23 24 23 23 25 27 25 27 28 30 34 38 40 42 45 47 44 41 38 34 32 31 31 30 28 29 30 31 29 26 25 24 23 24 24 24 25 23 19 15 14 14 13 12 11 9 9 9 8 7 6 6 5 5 5 7 9 9 8 8 8 7 7 8 7 8 7 7 6 5 4 4 4 4 4 4 4 5 6 6 6 8 10 10 11 12 12
1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 7 19 19 13 11 11 15 13 18 22 23 23 23 24 27 28 30 31 34 37 40 42 42 44 45 44 43 42 40 37 35 36 35 33 31 33 33 31 30 28 27 28 28 28 28 28 25 21 18 17 16 15 14 13 12 11 10 10 9 9 8 7 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 5 4 4 4 3 3 3 4 4 5 5 6 7 9 10 10 12 12
0 0 1 2 2 2 1 1 2 1 1 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 6 10 10 10 10 15 13 15 18 21 24 24 25 28 31 33 34 36 38 40 41 42 43 44 44 43 43 42 40 39 39 40 38 36 35 34 34 34 32 31 31 32 33 33 30 27 24 21 20 19 17 15 15 14 13 13 12 11 10 9 9 9 8 9 9 9 9 9 8 7 7 8 8 8 7 6 7 6 4 3 3 3 3 3 4 4 5 5 5 6 7 10 10 11 11
0 0 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 10 9 15 14 12 13 14 15 19 24 27 27 29 33 35 37 38 38 40 44 45 45 46 46 46 46 44 43 42 42 43 42 41 40 39 38 38 37 37 37 38 38 36 32 29 25 24 24 23 22 20 18 17 16 15 14 13 12 12 11 10 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 6 5 4 3 3 3 4 5 5 5 5 5 5 5 8 10 11 11
0 0 0 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 10 29 33 25 15 12 15 17 22 25 27 28 33 37 39 39 40 44 48 49 49 50 51 52 52 51 50 49 49 50 49 48 45 44 43 43 43 43 44 43 41 38 35 31 27 26 26 25 24 23 22 20 19 18 17 16 14 13 13 12 11 10 10 9 9 10 9 9 9 9 8 8 7 7 7 7 6 4 3 3 3 4 5 5 5 5 5 5 5 6 9 11 10
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