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 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 7 6 8 9 10 11 10 9 9 9 10 10 9 8 8 8 8 8 9 9 9 10 10 10 8 6 5 7 9 11 10 9 9 9 9 9 10 10 10 9 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 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 8 8 7 7 6 5 5 5 5 6 6 7 9 10 12 14 15 16 16 16 15 13 11 9 8 7 6 5 5 5 5 5 6 6 7 7 7 7 7 nan
nan 8 8 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 8 7 6 5 6 8 9 10 10 9 9 9 10 11 10 10 9 9 8 8 9 9 9 9 9 9 8 5 4 5 8 10 10 9 9 9 8 8 8 8 10 11 10 9 9 8 7 6 6 6 6 7 7 6 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 7 7 6 5 5 5 5 5 6 7 8 10 12 14 15 16 17 16 14 13 11 9 7 6 6 5 5 5 5 5 6 7 7 7 7 7 nan
nan 8 8 8 7 7 8 8 9 10 10 10 11 11 12 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 6 5 6 7 9 10 10 9 9 9 9 10 11 11 10 9 9 9 9 8 8 8 8 8 8 6 5 5 7 9 9 9 9 8 8 7 7 7 10 12 12 11 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 5 5 5 5 5 6 7 8 10 11 13 15 16 16 15 15 13 10 9 8 7 6 5 5 5 5 5 6 7 7 8 8 nan
nan 9 9 8 8 7 7 8 9 10 11 11 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 6 6 7 8 9 10 10 9 9 10 10 11 11 10 10 9 9 9 8 8 8 8 8 8 8 7 6 8 9 9 9 8 8 7 6 5 7 10 12 12 11 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 5 5 6 6 7 8 9 11 13 14 15 15 15 14 12 11 10 8 7 7 6 5 5 5 6 6 7 8 8 nan
nan 10 9 8 8 7 7 8 9 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 5 6 7 8 8 8 8 8 6 5 6 9 11 11 10 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 7 7 7 6 6 7 7 8 8 8 7 7 6 6 5 6 6 7 7 8 9 10 11 13 14 15 14 14 13 11 10 9 8 7 6 5 5 6 6 7 7 7 nan
nan 9 8 8 7 7 6 7 8 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 5 6 6 7 8 10 10 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 5 4 4 5 6 7 8 8 8 7 7 7 9 10 11 10 9 9 10 10 10 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 7 6 6 6 7 8 9 9 8 7 7 6 6 6 6 7 7 7 8 8 9 11 12 13 13 14 13 12 11 10 9 8 7 6 6 6 6 6 6 6 nan
nan 8 8 8 7 7 7 7 8 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 8 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 9 8 6 6 6 6 7 9 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 9 10 11 11 10 10 11 12 12 10 9 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 8 8 8 8 7 6 6 6 7 8 9 9 9 8 7 6 6 6 6 7 7 8 8 8 8 9 10 11 12 12 12 12 11 10 9 8 8 7 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 9 9 9 8 7 7 8 9 9 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 6 7 7 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 8 8 8 7 7 8 8 8 8 9 10 11 11 10 11 12 12 12 11 9 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 6 6 7 8 8 9 9 8 8 7 6 6 6 7 7 8 8 8 8 8 9 9 10 11 11 11 10 9 8 8 8 7 7 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 9 10 9 8 7 7 8 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 6 7 8 9 9 9 10 11 11 10 9 8 8 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 8 9 10 11 10 10 11 12 12 12 12 10 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 8 8 7 7 6 6 7 7 8 8 8 7 8 8 9 9 10 10 10 10 9 8 8 8 7 7 7 6 6 6 6 nan
nan 9 8 8 9 9 9 10 9 9 9 8 8 8 8 9 10 10 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 7 7 6 7 8 8 8 9 10 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 7 7 8 8 8 7 7 7 8 9 9 10 10 11 11 11 12 13 12 11 9 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 nan
nan 9 9 8 9 9 10 10 9 9 8 8 8 8 8 8 9 10 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 10 10 10 10 10 11 12 12 12 11 9 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 6 6 5 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 11 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 8 9 9 8 7 7 8 8 8 8 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 8 9 9 9 9 10 10 10 11 11 11 11 11 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 6 5 nan
nan 8 8 8 8 8 7 7 7 7 8 9 10 9 8 8 8 10 10 10 9 9 8 8 9 9 9 8 8 8 8 9 9 9 9 9 10 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 9 9 10 10 11 11 10 10 9 8 7 7 7 7 8 9 9 9 9 8 9 10 10 10 10 10 12 12 10 9 8 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 8 9 9 10 10 10 9 9 9 8 8 7 6 nan
nan 8 7 8 8 8 8 8 8 8 9 9 10 10 9 8 8 9 10 10 10 9 9 9 10 10 10 9 8 8 9 10 11 11 10 10 10 11 12 11 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 9 9 8 8 8 7 7 8 9 9 9 9 8 8 9 9 10 10 10 11 13 14 13 11 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 10 10 11 11 10 10 10 9 9 8 7 nan
nan 8 7 8 8 9 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 9 9 10 10 10 10 9 9 10 11 12 12 11 10 10 11 12 11 10 9 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 12 14 16 17 16 12 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 11 11 11 10 9 9 8 nan
nan 9 9 9 9 10 11 12 12 12 11 10 10 9 8 8 8 9 9 10 9 8 8 9 9 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 9 10 9 9 9 9 9 9 10 10 9 9 8 8 9 9 8 7 6 5 5 6 7 8 9 9 9 9 9 9 8 7 8 9 9 10 10 11 12 14 15 16 15 12 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 10 10 10 11 11 12 12 11 11 10 10 9 nan
nan 11 11 11 11 11 11 12 12 12 11 10 9 9 8 8 8 9 10 10 8 7 7 8 8 9 10 10 9 9 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 9 9 9 9 8 8 8 9 9 10 9 9 9 9 10 10 9 8 6 5 5 5 6 6 7 7 8 9 9 9 9 8 9 9 9 9 10 11 11 11 10 11 11 10 9 8 8 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 8 8 8 8 8 9 9 8 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 10 10 10 11 11 12 12 12 11 11 11 10 nan
nan 12 12 12 12 11 11 11 11 11 10 9 9 8 7 7 8 9 9 9 8 7 7 7 8 8 9 8 8 8 9 9 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 10 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 9 9 7 7 6 6 6 6 5 6 7 7 8 8 9 9 10 10 9 9 9 10 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 10 10 10 9 8 8 7 7 8 8 9 9 10 10 10 11 12 12 12 12 12 11 11 nan
nan 12 12 11 12 12 11 11 11 11 10 9 8 7 7 8 8 9 9 9 8 8 7 7 7 8 8 7 7 7 8 8 9 9 10 10 11 10 10 10 10 10 11 11 11 11 11 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 8 7 7 6 6 6 6 6 6 6 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 7 8 8 9 9 9 10 11 11 11 12 12 12 12 12 nan
nan 9 10 10 11 11 11 12 12 12 12 11 10 9 8 9 9 10 10 9 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 7 7 6 6 5 5 6 8 9 10 10 10 9 9 8 9 9 9 9 10 11 11 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 7 8 8 8 9 9 10 10 11 11 12 12 12 12 nan
nan 8 9 9 9 10 11 12 12 13 12 12 10 10 9 10 10 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 9 10 10 10 9 9 8 7 7 6 6 5 6 7 8 9 10 9 9 8 8 8 9 9 10 11 11 11 11 10 9 9 9 8 8 9 9 9 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 10 10 11 11 11 12 nan
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nan 8 8 8 9 9 10 10 11 12 11 10 10 10 10 10 11 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 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 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 12 13 13 13 13 13 11 10 10 10 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 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 8 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 10 11 12 12 11 11 10 9 8 8 9 9 9 9 9 10 11 11 10 10 10 10 11 11 12 11 10 8 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 12 13 14 14 14 13 12 12 12 12 12 11 10 9 8 8 7 7 6 6 6 6 6 6 7 7 6 6 7 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 9 9 9 9 9 nan
nan 10 9 9 9 9 9 10 11 11 11 10 9 8 6 4 3 4 5 6 6 7 8 9 10 10 10 10 9 10 10 10 9 8 8 7 7 8 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 12 12 12 12 12 11 11 10 10 9 7 7 7 6 6 6 6 7 6 6 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 nan
nan 10 10 10 9 9 9 10 9 8 7 6 6 5 4 2 -0 -0 1 2 3 3 3 5 7 9 10 10 10 9 9 8 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 8 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 10 8 8 8 8 7 6 6 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 nan
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nan 8 8 9 9 10 10 10 8 5 5 5 6 7 8 8 8 7 6 5 3 1 -2 -3 -2 1 4 6 7 8 8 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 9 9 8 8 7 8 9 9 10 10 11 11 11 10 10 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 10 10 9 9 9 10 9 8 8 8 8 8 8 8 8 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 9 9 9 9 9 9 10 10 10 10 10 nan
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nan 9 9 10 10 11 13 16 18 19 20 19 18 19 21 21 20 17 13 10 8 7 6 5 5 4 3 2 2 2 1 0 -1 -2 -2 0 3 6 7 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 12 12 12 12 11 10 10 9 8 7 7 8 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 10 11 12 12 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
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nan 10 10 11 12 12 12 12 12 13 14 13 11 9 9 11 15 20 21 21 19 16 14 12 12 12 12 12 11 10 9 8 6 3 1 -1 -3 -3 -3 -2 0 4 7 8 9 9 8 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 11 10 9 8 7 7 8 9 11 14 15 15 14 13 12 11 10 8 8 8 8 9 9 10 10 10 9 9 9 10 10 10 10 10 10 11 12 13 13 11 10 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
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nan 9 9 9 8 8 8 8 8 10 11 11 11 11 11 11 10 9 9 8 8 7 7 8 8 9 9 9 10 10 10 11 14 17 20 21 21 19 18 17 19 19 17 14 11 8 7 8 10 12 12 12 12 13 13 14 14 14 14 14 14 15 16 16 15 13 12 12 12 11 10 10 10 10 11 11 11 10 10 9 8 7 8 9 10 11 12 13 14 14 12 10 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 10 10 11 11 11 10 9 11 14 17 16 12 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 9 9 9 9 9 9 8 9 9 10 10 11 11 11 10 8 7 7 8 8 7 6 6 6 6 6 6 6 7 7 8 10 12 14 15 16 16 15 15 16 18 19 18 16 14 12 12 12 12 11 11 11 11 12 13 15 15 15 14 14 14 15 14 13 12 11 11 11 11 11 11 11 11 11 10 11 10 10 9 8 7 8 9 9 10 11 12 13 13 12 10 9 9 10 9 9 9 10 11 12 12 12 11 10 9 9 9 10 11 11 11 10 10 10 12 16 18 19 14 9 8 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
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nan 16 13 8 5 2 2 4 7 8 9 12 16 17 16 11 7 6 5 4 2 1 3 6 8 8 8 8 8 9 10 9 9 10 10 10 11 12 13 15 18 20 23 24 23 19 16 13 11 9 8 7 6 6 5 5 5 6 6 7 7 8 10 11 11 11 10 6 2 0 2 6 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 9 8 8 9 10 11 12 11 10 10 10 10 11 11 10 10 9 9 10 11 10 11 13 16 22 24 22 17 13 12 12 11 9 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 nan
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nan 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 13 13 13 14 14 13 13 12 11 11 11 11 11 11 11 12 12 12 11 10 9 9 8 8 9 9 9 9 10 10 10 11 12 13 14 15 18 22 25 26 25 23 20 17 14 9 6 3 1 -1 -1 -1 -1 -0 0 2 3 5 7 8 8 9 10 11 nan
nan 13 13 13 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 11 11 10 9 8 9 9 9 10 10 10 10 11 11 13 14 14 14 15 17 19 21 23 24 24 24 24 20 17 14 11 9 7 5 3 1 -1 -2 -2 -1 -1 0 1 1 2 4 nan
nan 13 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 11 11 11 12 12 13 14 15 15 14 14 13 13 15 17 19 20 23 24 24 22 22 21 20 19 17 13 9 5 2 -1 -3 -3 -4 -4 -5 -5 -4 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
8 10 8 5 3 2 3 4 4 5 7 8 10 9 7 5 4 4 4 3 4 6 10 12 14 17 18 15 11 11 11 11 10 8 7 8 10 13 17 23 30 37 36 26 13 3 0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 1 1 0 0 0 1 2 2 2 1 0 0 0 0 1 1 4 9 15 22 24 18 16 14 13 12 10 9 9 7 6 5 3 2 2 2 2 2 1 1 1 1 2 3 4 4 5 5 6 7 7 7 6 6 5 8 9 9 8 9 9 9 9 9 9 10 10 10 10 10 11 13 14 18 23 30 42 50 55 58 65 77 87 90 97 105 113 119 121 125 127 132 138 141 144 149 157 168 184 174 161
4 4 2 1 0 0 1 1 1 2 4 7 10 8 6 5 5 5 5 5 5 6 8 9 10 12 11 9 7 7 9 11 11 9 7 7 9 11 13 17 24 32 33 26 15 5 2 1 0 0 0 0 1 2 2 2 2 2 2 2 1 1 1 0 0 1 1 3 4 2 1 0 0 0 0 0 0 2 6 14 22 27 25 21 18 16 17 13 11 9 7 7 4 3 2 2 2 1 1 1 1 1 1 2 2 3 4 4 4 4 6 6 6 5 3 6 6 7 7 7 7 7 7 7 7 8 8 7 8 8 7 7 6 7 11 18 27 42 51 58 65 74 85 90 93 98 107 115 118 115 115 119 125 126 134 141 145 146 150 152 152 148
3 2 1 1 0 0 0 0 0 0 1 5 7 7 6 6 5 7 7 6 5 5 5 7 9 9 8 7 7 10 10 12 12 9 6 7 9 10 12 14 19 23 26 22 15 7 4 2 1 0 0 0 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 2 3 1 0 0 0 0 0 0 0 1 5 13 22 26 26 24 21 18 19 16 12 8 6 6 4 3 3 2 2 1 1 0 0 0 0 1 1 2 2 3 4 4 5 6 5 4 3 3 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 4 3 4 5 8 13 30 44 56 68 75 87 91 93 99 107 109 107 105 105 108 116 119 125 132 138 139 141 142 142 138
3 4 4 3 2 1 0 0 0 0 1 4 6 7 8 8 7 10 9 8 5 4 3 5 7 8 7 6 7 9 10 12 12 11 9 8 9 11 11 9 10 15 19 19 14 9 5 4 2 1 0 0 0 0 1 2 3 3 2 3 3 2 2 2 2 2 1 1 1 1 0 0 0 0 1 1 0 0 2 8 13 16 21 25 22 20 19 17 13 10 7 5 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 1 2 2 4 4 4 4 4 4 5 6 6 6 6 6 6 6 5 5 5 4 5 5 4 3 3 3 4 4 5 14 30 45 61 72 82 90 96 102 104 101 97 95 98 99 104 109 114 121 129 133 136 139 137 133
5 5 6 6 3 1 0 0 0 0 2 6 8 10 11 11 12 12 11 9 7 4 2 4 6 7 7 5 9 9 10 11 12 12 10 10 11 13 12 11 10 14 16 16 14 11 6 3 2 1 0 0 0 0 0 2 2 3 2 2 2 2 2 2 2 1 1 1 0 1 1 0 0 1 1 1 1 1 2 4 6 8 13 22 23 21 20 17 13 10 7 5 4 3 2 2 2 1 1 0 0 0 0 1 0 0 0 1 2 2 3 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 7 14 24 41 58 73 86 93 102 104 100 95 92 97 96 94 94 103 111 119 125 131 133 126 126
7 8 7 5 2 0 0 0 0 0 3 7 10 12 14 16 16 15 15 14 12 7 4 3 4 6 7 5 7 9 9 10 11 11 10 11 13 16 18 15 13 13 14 13 10 8 5 2 1 0 0 0 0 0 0 1 2 2 2 1 1 1 1 1 1 2 2 2 2 1 1 0 0 0 1 1 0 0 0 1 1 2 5 14 20 23 22 19 13 9 7 5 5 4 3 3 2 1 1 1 1 0 0 0 0 0 1 2 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 3 4 5 11 24 41 59 77 87 96 102 102 95 93 94 94 92 91 97 101 106 115 124 122 119 119
10 8 6 3 1 0 0 0 1 2 6 8 9 11 12 13 15 17 18 18 18 12 8 4 2 2 4 5 7 9 9 9 10 10 11 13 18 22 25 20 14 10 9 8 5 3 2 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 18 22 19 14 10 7 6 5 5 4 3 2 1 1 1 1 0 0 0 1 1 1 1 2 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 3 4 4 4 4 5 4 4 4 3 3 3 3 3 5 11 22 36 56 70 82 93 99 92 89 92 97 98 96 94 94 97 102 110 111 111 116
8 7 4 2 1 1 1 1 2 3 5 6 8 10 11 14 17 20 21 21 22 19 14 7 1 1 4 6 8 10 10 9 9 9 11 15 19 23 23 19 14 10 7 5 3 1 1 0 0 0 0 0 0 1 2 1 1 1 1 0 0 1 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 15 13 10 8 7 6 5 4 3 2 2 1 1 1 1 0 0 1 1 1 1 2 3 3 4 4 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 5 9 20 32 46 62 79 85 85 84 85 94 93 94 95 96 95 95 96 97 101 113
6 5 4 1 1 1 1 1 1 2 2 3 4 7 9 13 16 19 21 22 23 21 14 7 2 1 2 5 8 9 7 8 8 10 12 16 18 19 17 14 11 9 8 6 6 5 3 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 13 11 9 7 6 5 5 4 3 2 1 1 1 1 1 1 1 1 1 2 2 3 4 4 4 4 5 5 6 6 6 6 5 4 4 4 3 4 4 4 4 4 4 3 4 4 5 5 3 2 1 1 3 5 10 17 27 40 54 65 73 79 78 87 93 95 95 96 90 89 92 96 100 111
5 5 3 2 1 1 0 0 0 0 1 2 2 3 5 9 13 16 20 22 22 17 10 3 0 1 2 4 5 6 6 7 9 11 13 17 17 16 13 11 10 11 11 11 11 10 4 1 0 0 0 0 0 0 0 0 0 0 0 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 1 3 10 13 11 9 8 7 6 5 4 3 2 1 1 1 1 1 1 1 1 2 2 2 3 4 5 5 6 6 6 6 6 5 5 5 4 4 4 5 5 5 4 3 3 3 2 2 3 4 4 3 2 1 2 3 3 4 7 15 24 34 45 55 66 69 74 78 84 86 85 82 84 89 91 98 106
7 5 3 2 1 1 1 1 0 0 0 0 0 1 2 6 12 17 21 20 16 10 4 1 0 0 0 1 3 3 4 6 7 9 13 15 14 11 10 10 10 12 13 12 11 11 4 2 0 0 0 0 0 0 0 0 0 0 0 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 2 6 11 12 10 9 8 6 5 5 3 2 2 1 1 1 1 1 1 2 2 3 3 4 5 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 2 2 1 1 2 3 3 2 1 1 2 2 2 2 2 7 14 22 31 37 46 53 59 66 74 75 75 74 73 77 82 90 100
9 5 3 2 2 1 0 0 0 0 0 0 0 2 3 6 12 18 22 15 9 3 1 0 0 0 0 0 1 2 3 4 5 8 10 11 8 7 7 8 8 8 7 6 6 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 3 7 11 10 9 8 7 6 5 4 3 2 2 1 1 1 2 2 2 3 4 4 5 6 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 5 3 2 2 1 1 1 2 2 2 2 1 1 1 2 2 2 2 3 6 11 20 27 35 43 49 53 59 65 69 70 67 66 67 73 87
5 4 3 2 2 1 1 1 1 0 0 0 1 1 3 6 11 16 17 10 4 1 0 0 0 0 0 0 0 1 1 2 2 4 5 6 6 7 7 6 5 5 4 4 4 7 8 5 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 3 8 9 9 8 7 6 5 3 3 2 2 1 2 2 2 2 3 4 4 4 5 7 8 8 8 8 7 7 8 8 9 9 9 9 8 6 6 4 3 2 2 1 1 1 1 1 2 1 1 2 3 3 2 2 2 3 2 5 12 19 27 37 41 45 49 55 61 64 62 58 54 54 69
4 3 3 2 2 3 2 1 1 0 0 1 2 3 4 5 8 9 7 4 1 0 0 0 0 0 0 0 0 1 1 1 1 2 2 4 5 5 4 3 3 4 5 5 6 7 10 9 3 1 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 1 1 0 0 0 0 0 0 0 0 0 0 2 5 8 10 8 7 6 5 4 3 2 2 2 2 2 2 3 3 4 4 4 5 6 7 7 7 7 7 7 8 9 9 8 8 8 8 6 5 4 4 3 2 2 2 2 1 1 1 1 1 3 8 5 3 2 2 3 3 4 6 10 16 24 31 38 42 45 50 54 56 55 49 44 50
3 4 4 4 4 4 4 3 1 0 1 2 2 3 4 4 6 4 2 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 4 5 4 3 4 5 5 6 7 9 13 12 5 0 0 0 0 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 1 3 7 12 10 8 6 4 3 2 2 2 2 2 3 3 3 3 3 4 5 6 6 6 7 8 7 7 7 8 7 8 9 8 7 9 7 6 5 5 4 4 4 5 4 4 3 3 3 4 7 11 9 5 2 3 3 4 4 3 4 9 16 24 32 38 44 48 51 53 51 45 39 38
3 3 4 4 5 6 6 5 4 3 2 2 3 4 4 4 5 3 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 4 5 5 5 4 4 5 5 5 7 10 13 14 9 2 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 16 13 9 6 3 2 2 2 2 3 3 3 3 3 3 3 4 5 5 6 7 8 8 8 8 9 9 9 9 9 9 8 9 9 7 6 5 6 6 7 7 6 6 6 6 5 5 9 11 9 6 4 4 5 6 6 4 5 8 12 17 26 34 41 45 47 49 44 39 34 32
3 3 3 4 5 6 7 6 5 4 3 3 4 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 4 5 5 5 4 4 4 5 6 9 13 16 19 16 10 6 4 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 11 9 7 5 4 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 9 8 8 9 10 9 8 8 7 8 9 7 6 7 9 10 11 16 23 31 39 42 38 34 31 29 25
2 3 4 5 5 5 6 6 6 5 4 4 4 5 6 6 4 2 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 4 4 4 4 4 4 6 9 14 18 21 23 21 17 11 6 3 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 5 5 4 4 4 4 3 4 5 6 6 6 6 5 5 5 6 7 7 8 9 9 10 11 10 10 10 10 9 9 9 8 9 11 11 11 12 13 12 11 9 9 9 12 12 12 11 9 9 9 9 8 7 7 7 7 8 8 9 10 11 13 19 28 30 29 28 26 23 16
3 3 3 4 4 4 5 5 5 5 4 4 4 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 2 2 2 2 2 3 5 8 11 13 16 20 19 15 9 4 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 4 6 7 8 8 8 7 6 6 7 7 8 8 9 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 10 11 16 17 18 18 15 12 13 13 13 13 11 10 9 8 7 7 6 6 6 6 6 7 8 8 8 10 14 17 21 25 23 19 13
1 2 2 2 2 2 3 3 5 6 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 3 4 5 7 8 12 13 11 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 5 6 7 8 8 8 8 8 8 9 9 10 10 10 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 13 16 21 25 24 19 18 17 16 15 14 12 11 10 9 8 7 6 5 4 5 6 7 7 5 5 7 9 11 18 18 16 12
0 0 0 1 1 2 2 3 4 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 3 4 7 8 7 3 1 0 0 0 0 0 0 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 1 2 2 2 5 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 10 9 8 8 9 8 7 7 8 9 10 13 17 20 21 22 23 23 23 20 18 15 14 14 13 10 9 8 8 6 4 4 4 5 4 3 3 3 4 6 8 10 10 8
0 0 0 0 1 1 2 3 4 4 3 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 1 2 2 2 1 1 0 0 2 3 4 5 4 2 0 0 0 1 1 1 1 1 1 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 1 5 8 9 8 8 10 11 12 12 12 12 12 11 11 10 10 9 9 9 9 8 8 8 9 10 11 13 16 19 20 20 21 22 21 23 22 21 18 15 16 14 12 10 8 8 7 5 4 3 3 2 2 2 2 3 4 4 5 7 6
1 1 1 1 1 2 2 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 1 2 3 3 3 2 1 0 0 0 1 1 1 1 0 0 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 1 1 3 5 8 10 11 8 10 12 14 14 15 14 13 12 10 10 9 9 9 8 8 8 7 7 9 14 15 14 14 16 20 22 24 24 22 21 23 23 22 21 19 18 15 13 12 10 10 8 6 6 5 4 3 2 2 3 3 3 3 3 4 4
2 2 2 2 2 2 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 2 4 5 3 2 2 2 1 0 1 1 1 1 1 1 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 2 4 6 9 12 14 13 13 14 14 14 15 14 13 11 9 9 9 9 9 8 7 7 6 6 7 10 13 14 14 14 14 17 22 25 25 24 25 25 24 24 22 21 20 18 15 13 12 11 10 8 8 7 5 4 3 3 3 3 3 4 4 4 4
1 1 2 2 2 2 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 2 3 4 5 3 2 2 2 2 1 1 1 1 1 1 2 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 2 4 5 8 11 10 9 10 11 11 12 12 10 10 10 9 9 9 9 9 8 5 5 5 5 7 9 11 12 12 12 13 18 22 22 21 20 24 26 25 24 23 21 19 20 19 17 15 14 14 11 11 9 7 6 6 6 5 5 5 5 4 4 4
0 2 2 2 2 2 2 2 2 2 2 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 1 2 3 4 3 2 2 3 3 3 4 4 5 4 3 2 1 1 1 1 2 3 4 5 5 2 2 2 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 1 2 2 2 2 1 1 2 3 5 6 7 9 9 8 9 9 9 9 8 5 2 2 5 5 7 9 11 11 11 10 10 13 18 18 18 19 22 24 24 23 22 20 18 19 20 19 18 16 15 13 13 12 9 8 8 7 7 6 6 6 5 4 3
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