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 9 7 6 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 7 7 7 7 9 10 10 9 9 9 9 10 12 13 14 14 14 14 12 11 9 8 8 7 6 5 5 7 7 7 6 5 5 6 7 8 9 9 8 7 6 6 6 6 6 6 7 7 8 9 9 9 8 8 8 7 6 5 4 4 4 5 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 8 7 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 5 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 6 6 6 6 6 7 7 8 8 nan
nan 10 9 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 7 8 8 8 7 6 7 8 8 8 8 8 8 7 6 6 7 9 9 9 9 9 9 9 10 11 11 12 13 13 13 13 12 11 10 9 8 6 7 8 9 8 7 5 5 5 6 8 9 10 9 8 7 6 6 6 6 6 6 7 8 8 9 9 9 9 8 7 7 6 5 4 3 4 6 8 8 8 7 7 6 6 7 7 6 6 6 6 6 6 8 10 11 10 8 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 6 7 7 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 7 7 6 6 6 6 6 7 7 8 8 9 nan
nan 9 9 8 8 7 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 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 6 6 6 7 8 8 9 9 9 9 9 9 10 10 10 11 12 13 13 13 12 11 10 8 8 8 9 9 8 6 5 5 5 6 9 11 10 9 7 7 6 6 6 6 6 7 7 8 9 9 9 9 8 8 7 7 6 4 4 4 6 7 8 9 8 7 7 6 6 7 6 6 6 6 5 5 7 11 13 12 10 7 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 8 8 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 6 6 7 7 7 8 8 8 9 9 nan
nan 7 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 7 6 6 7 8 8 8 8 8 7 7 7 6 6 6 6 7 8 8 8 9 9 9 9 9 9 10 11 12 12 11 11 11 11 10 9 8 9 10 10 9 8 7 6 6 8 11 11 11 9 7 7 6 6 6 6 6 7 7 8 9 9 9 8 8 8 7 6 5 4 4 4 6 8 9 10 9 8 7 6 6 6 6 7 6 5 5 7 11 15 15 13 9 6 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 nan
nan 7 7 7 7 8 10 10 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 9 9 8 7 6 7 7 8 8 8 8 8 7 7 6 6 6 5 6 6 6 7 8 9 9 9 9 9 9 10 10 10 9 8 9 10 11 9 9 9 10 10 11 11 11 10 9 9 10 12 12 11 9 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 6 5 4 4 4 6 8 10 10 9 8 7 6 6 6 7 6 6 5 7 11 15 17 15 10 6 5 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 5 6 7 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 8 8 nan
nan 7 7 7 7 7 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 7 6 5 5 5 5 5 6 8 9 9 8 8 8 8 8 9 9 8 7 8 9 10 9 9 9 9 10 11 12 13 13 12 10 9 10 12 13 12 10 8 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 6 5 4 4 4 6 8 10 10 9 8 7 7 6 7 7 6 5 6 9 13 17 15 10 7 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 9 8 8 8 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 7 nan
nan 7 8 8 7 6 7 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 9 10 9 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 7 7 6 7 8 9 8 7 6 6 6 6 5 5 6 7 8 9 8 8 8 8 8 9 9 8 7 7 8 8 9 9 8 8 9 9 10 12 13 12 11 9 8 10 12 14 13 11 9 8 7 6 7 7 7 7 7 8 8 8 8 7 7 7 7 6 5 4 3 4 6 8 10 10 10 8 7 6 6 7 6 6 6 7 11 15 14 11 8 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 8 8 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 nan
nan 6 8 9 8 7 7 7 8 9 9 9 8 7 7 6 6 6 6 6 6 6 5 5 7 8 10 10 9 8 7 6 6 7 8 8 8 8 8 8 8 9 9 8 7 6 7 8 8 8 7 7 6 6 6 6 6 6 6 7 8 8 8 8 8 9 9 9 9 7 7 7 7 8 8 8 8 8 8 9 10 10 11 11 10 8 8 10 14 15 15 13 11 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 3 4 6 9 11 11 9 8 7 7 7 7 6 5 6 9 12 13 12 10 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 nan
nan 6 8 10 9 8 7 7 7 8 9 9 8 7 7 6 6 6 6 6 7 6 5 4 5 6 8 9 9 9 8 7 7 7 8 8 8 7 7 7 8 9 9 8 7 7 7 7 8 7 7 6 6 5 6 7 7 6 6 6 7 7 7 8 8 9 9 9 9 8 7 6 6 7 7 7 7 8 8 8 8 8 10 11 11 10 9 10 12 14 16 17 16 14 12 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 7 9 10 10 9 8 8 7 7 6 6 6 7 10 12 13 11 8 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 6 6 7 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 nan
nan 6 8 10 11 10 8 7 7 7 8 8 8 7 6 6 6 6 5 6 7 7 6 5 4 5 6 7 8 8 8 7 7 7 9 9 8 7 6 6 7 8 9 8 7 6 7 8 8 7 7 6 5 5 6 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 7 7 8 9 10 11 12 11 10 11 12 13 15 16 17 16 13 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 4 4 5 7 8 10 10 10 9 8 7 6 6 6 6 8 10 12 11 9 7 6 5 4 4 3 3 3 3 3 3 4 4 4 4 5 5 6 6 7 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 5 5 nan
nan 8 8 10 12 10 8 7 6 7 7 8 8 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 6 6 7 9 10 9 8 7 7 7 7 8 7 7 6 7 7 8 8 7 6 6 6 6 6 6 6 6 7 7 7 6 7 7 7 6 7 8 9 9 8 7 6 6 6 7 7 7 7 7 8 9 10 11 11 11 11 11 11 11 11 13 15 17 17 15 11 9 7 7 7 6 7 7 7 7 7 7 7 7 7 6 5 4 4 4 6 8 10 11 10 8 7 7 7 6 6 6 7 9 10 10 9 6 5 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 6 7 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 6 6 6 6 nan
nan 12 10 10 10 9 8 7 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 7 8 9 9 9 8 8 7 7 7 7 7 6 6 7 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 8 9 9 8 8 7 6 6 6 6 6 6 6 8 9 10 11 11 11 10 10 10 11 11 11 13 16 18 18 16 13 10 8 7 7 6 6 6 7 7 7 7 7 7 7 6 6 5 4 4 6 8 10 10 9 9 8 8 7 6 5 5 7 10 11 10 8 6 5 4 3 3 3 3 3 3 4 4 4 4 4 5 5 6 7 8 8 8 7 7 7 6 6 6 6 6 7 8 8 8 9 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 nan
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nan 17 17 13 10 8 7 7 6 6 6 6 6 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 6 6 6 7 7 8 8 9 9 8 8 8 8 7 7 7 6 7 7 8 7 6 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 8 7 6 6 6 8 8 8 8 8 8 9 9 10 11 11 11 11 12 16 19 20 18 16 12 10 8 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 7 10 11 11 10 10 8 7 5 6 9 12 15 14 11 7 5 4 4 3 3 3 3 4 4 4 4 4 5 5 6 7 8 8 8 8 8 7 7 6 6 5 6 6 7 8 9 9 9 8 7 6 5 5 5 5 5 5 6 6 6 6 5 5 5 nan
nan 15 17 15 12 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 9 10 10 10 9 9 8 7 6 6 7 7 7 6 5 5 7 8 8 9 9 9 9 9 11 15 18 20 19 16 13 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 6 8 10 11 11 10 9 8 7 6 7 10 13 14 11 8 6 5 4 3 3 3 3 4 4 5 5 4 5 5 6 7 7 8 8 8 8 8 7 7 6 6 6 6 7 8 8 9 9 8 7 6 5 5 4 4 4 4 4 4 5 4 4 4 4 nan
nan 13 16 15 13 11 11 11 11 9 8 8 7 7 6 6 7 8 8 7 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 8 7 7 8 8 8 8 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 8 9 9 9 8 8 7 8 7 6 6 7 7 6 5 3 3 4 5 6 7 8 8 8 8 9 10 13 16 18 18 16 13 11 10 9 8 7 7 7 7 7 7 7 7 7 7 6 5 5 6 7 8 9 10 10 10 9 8 7 7 7 9 10 10 8 7 5 4 3 3 4 4 4 4 5 5 4 5 5 6 6 7 8 8 9 9 8 8 7 6 6 6 6 6 7 8 8 8 7 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 nan
nan 10 13 14 14 12 12 13 13 11 10 9 8 6 5 5 6 7 7 7 7 7 7 7 7 6 6 7 7 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 5 6 7 7 7 7 7 6 6 7 7 7 8 8 8 8 9 9 9 9 8 8 7 7 7 8 7 7 6 6 6 6 4 3 3 3 3 4 6 7 8 8 9 9 10 13 16 18 18 16 15 13 11 10 9 9 9 8 8 7 7 7 8 7 6 5 6 6 6 6 6 7 9 10 10 10 9 8 8 7 6 7 7 7 6 4 4 4 4 4 5 5 5 5 4 5 5 6 6 7 7 8 9 9 9 8 7 7 7 6 6 6 6 7 7 7 6 6 5 5 4 4 3 3 2 2 2 2 2 2 3 3 nan
nan 9 12 14 13 12 12 13 13 12 11 10 9 7 6 6 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 6 5 6 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 8 8 8 7 7 7 8 7 6 5 3 2 2 2 4 7 8 9 9 10 12 14 17 18 18 18 16 15 13 11 11 10 10 9 8 8 8 8 7 6 6 6 7 7 6 5 5 7 8 9 10 11 11 10 8 6 6 7 8 8 7 6 5 5 5 5 5 5 5 4 5 5 6 6 6 7 7 8 8 9 8 8 7 7 6 6 6 6 6 5 5 5 5 4 4 4 3 3 2 2 1 1 1 1 1 2 3 nan
nan 9 11 13 13 12 11 11 11 12 12 11 9 8 7 8 10 10 9 8 7 7 7 7 7 7 7 8 9 9 9 8 8 8 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 6 6 5 6 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 10 11 10 8 6 3 2 1 2 3 5 7 8 10 11 12 15 17 18 19 19 18 16 14 13 13 12 11 10 8 8 8 7 7 6 6 7 8 6 5 4 4 5 7 10 13 14 13 11 8 6 7 8 9 10 9 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 8 9 8 8 7 7 6 6 6 5 4 4 4 4 3 3 3 3 2 2 2 2 1 1 1 2 2 3 nan
nan 8 10 12 12 12 11 10 9 10 10 10 9 9 9 11 13 14 12 10 8 7 7 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 7 8 8 8 7 7 7 7 7 7 7 6 5 6 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 12 12 10 8 5 3 2 2 3 5 6 8 9 10 12 14 16 17 19 19 19 17 16 16 15 13 12 10 9 8 8 7 7 7 7 8 7 5 4 3 3 5 8 11 14 15 13 11 8 7 8 10 12 11 10 8 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 8 8 8 8 7 6 6 5 4 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 nan
nan 7 9 11 12 12 11 9 9 8 7 8 9 9 10 12 16 16 14 11 9 8 7 7 6 6 6 6 6 6 5 5 5 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 11 12 12 11 9 7 4 3 3 4 5 6 6 8 9 10 11 14 16 17 18 18 18 18 18 16 13 11 10 8 8 7 7 7 7 7 7 6 5 4 3 3 5 8 12 14 14 13 11 9 8 9 11 12 12 10 8 6 6 6 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 9 8 7 7 6 5 4 4 3 3 2 2 2 2 2 2 3 3 3 4 4 5 5 5 nan
nan 7 8 10 11 12 11 9 8 6 6 7 8 8 8 11 16 17 15 13 11 10 9 8 7 6 5 5 5 3 2 1 2 3 5 6 7 8 7 7 6 5 6 7 7 7 7 7 7 7 7 6 7 8 8 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 9 8 8 8 10 11 11 10 10 8 6 4 3 4 5 5 4 5 5 6 7 10 13 15 16 16 17 18 18 17 14 12 10 9 7 7 7 7 7 7 7 6 6 5 4 3 3 5 8 11 13 14 12 10 8 8 9 11 13 13 11 9 7 6 6 5 5 5 6 6 6 5 5 6 6 7 7 8 8 9 8 8 7 6 5 5 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 nan
nan 7 7 8 10 11 10 9 8 7 6 6 6 7 7 10 15 16 15 14 13 12 11 9 8 7 7 6 5 3 2 1 0 1 3 5 7 8 8 7 6 6 6 8 8 8 7 7 7 7 7 7 8 8 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 11 11 11 10 10 9 9 9 10 9 9 8 8 7 6 5 4 5 5 4 4 3 4 5 7 9 11 13 14 14 16 17 17 16 14 11 9 8 7 7 7 7 7 7 7 7 6 5 4 3 3 5 7 10 12 12 11 9 7 7 9 12 14 13 12 10 8 6 5 6 6 6 6 6 5 5 5 6 6 6 7 8 8 8 8 7 7 6 5 5 4 4 4 4 4 3 3 4 4 4 5 5 6 6 7 7 nan
nan 7 8 9 10 10 10 9 8 6 5 4 4 6 7 10 13 14 14 14 13 12 11 10 9 9 9 9 7 5 4 4 4 4 5 7 9 9 8 7 6 7 8 9 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 7 7 7 8 7 7 7 7 8 8 9 9 8 8 9 9 10 10 10 10 9 9 10 10 10 9 8 8 8 8 7 6 6 6 6 5 4 4 4 5 6 8 9 11 12 13 15 16 17 15 13 11 9 8 7 7 7 7 7 7 7 7 6 5 3 2 3 4 8 10 12 12 11 8 6 7 10 13 14 14 13 9 7 6 6 6 7 6 6 6 5 5 5 6 6 6 7 8 8 8 8 7 6 6 5 5 5 5 4 4 4 4 4 5 5 6 6 6 7 7 8 nan
nan 7 8 9 10 11 11 9 8 6 4 3 5 7 8 9 11 12 12 11 11 12 11 11 11 11 10 9 8 7 8 8 9 10 11 11 11 9 7 6 6 7 9 10 10 9 8 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 6 6 7 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 10 9 9 8 8 8 8 8 7 7 7 5 4 4 4 5 6 7 8 10 11 13 15 17 18 16 14 11 9 8 8 7 7 7 7 7 7 7 6 5 3 3 4 6 8 10 11 11 9 7 8 10 12 15 17 16 13 10 8 7 7 7 7 6 6 5 5 5 5 6 6 6 7 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 nan
nan 7 8 9 10 11 11 9 7 6 4 4 6 8 8 8 8 9 10 9 9 10 11 11 10 10 9 8 8 9 9 9 10 12 13 12 10 8 7 6 6 7 8 9 9 8 7 7 7 6 7 7 9 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 8 9 9 8 8 7 6 5 4 4 5 5 6 6 8 10 11 14 16 19 20 19 16 13 11 10 8 7 7 7 7 7 8 7 6 4 3 3 4 6 8 10 10 9 8 8 9 11 15 18 18 17 14 11 8 7 7 7 6 6 5 5 5 5 5 6 6 6 7 8 8 8 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 7 8 nan
nan 6 7 9 10 11 11 9 7 6 6 6 7 8 7 7 7 8 8 7 8 9 9 9 8 8 8 8 9 9 8 8 9 10 10 9 8 7 6 6 6 7 8 9 8 7 7 7 7 6 6 7 9 10 10 10 10 9 9 9 9 9 10 12 13 13 13 12 12 11 10 9 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 9 8 8 8 9 8 7 6 5 4 4 5 5 5 6 7 8 9 11 13 16 19 21 20 19 16 14 13 11 9 8 8 8 8 8 7 6 4 3 3 4 6 8 9 8 8 7 8 9 13 16 18 18 17 14 11 9 7 6 6 6 5 5 5 5 5 5 6 6 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 nan
nan 6 7 8 8 9 11 9 7 7 6 7 7 7 6 5 6 7 8 7 7 7 6 5 5 7 8 8 8 7 7 7 7 7 6 5 5 5 6 6 7 8 9 8 7 7 7 7 7 7 6 7 8 8 8 8 8 8 8 9 9 10 12 13 14 14 13 13 13 13 12 10 8 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 9 10 11 11 10 9 9 8 9 9 8 7 6 5 5 5 5 5 5 5 6 7 9 10 12 15 18 21 22 22 21 21 20 18 15 12 10 9 8 8 7 5 4 3 4 5 6 7 8 7 7 7 8 10 13 16 18 18 16 14 11 8 6 6 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 7 6 6 6 6 7 7 7 7 6 6 6 6 7 8 nan
nan 6 7 7 6 8 10 9 7 6 7 7 7 6 5 4 5 7 8 8 7 6 4 4 4 6 7 7 7 6 6 7 6 5 4 3 3 4 5 6 7 8 8 8 7 7 8 8 7 6 6 6 7 7 7 7 7 8 8 9 10 12 13 14 14 13 12 12 12 13 12 12 10 9 9 9 10 10 10 9 9 8 8 8 9 9 8 7 6 7 7 9 10 10 11 11 10 10 9 9 9 8 7 6 6 6 6 5 4 3 4 5 6 8 9 11 14 17 20 23 23 24 25 26 24 19 15 11 10 9 8 7 5 4 4 4 5 6 7 7 7 7 7 8 10 12 15 17 17 16 13 10 8 6 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 6 6 6 7 7 7 7 6 6 6 6 6 7 7 nan
nan 6 6 6 6 7 8 7 6 6 7 8 7 6 5 5 6 7 8 8 8 6 5 5 6 7 7 8 7 7 8 8 7 6 4 3 3 4 5 6 7 8 8 7 7 8 8 8 7 6 5 5 6 6 6 7 7 7 8 9 10 12 13 13 13 12 11 12 12 12 13 13 12 11 10 10 10 11 11 10 9 9 9 9 9 9 9 8 7 7 7 8 9 9 10 11 11 11 11 10 10 9 8 7 7 7 7 6 5 4 3 3 4 6 8 9 10 12 14 16 17 19 20 22 24 22 18 15 12 11 9 8 6 5 4 4 4 5 6 6 7 7 7 7 8 10 12 14 16 16 14 12 9 7 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 7 7 7 6 7 7 7 6 6 6 6 6 6 6 7 nan
nan 6 6 7 7 7 6 6 6 7 8 8 7 6 7 7 7 7 7 8 8 7 7 8 9 9 10 9 8 8 9 9 8 7 5 3 3 4 5 7 7 8 8 8 8 8 9 8 8 7 5 5 5 6 6 6 7 7 7 8 8 10 11 11 11 11 12 13 13 14 14 15 14 13 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 8 9 9 10 11 11 12 12 11 10 9 8 8 8 8 8 7 7 5 4 3 4 6 8 9 9 9 10 11 11 12 14 16 17 17 16 14 12 11 10 8 6 5 4 4 4 5 5 6 7 7 7 8 8 10 13 15 16 15 13 11 8 7 6 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 6 6 nan
nan 6 7 7 7 6 5 5 6 7 8 8 8 8 8 7 6 5 5 7 7 8 8 10 11 12 12 10 9 8 8 8 7 7 6 5 5 5 6 7 7 8 8 8 9 9 10 10 9 8 6 5 5 5 6 6 7 7 7 7 7 8 8 9 9 11 12 14 15 15 15 15 15 14 12 10 9 8 8 9 9 10 10 9 8 9 10 11 10 9 8 8 8 8 8 8 9 10 11 11 12 11 11 10 10 10 10 9 9 9 8 6 4 4 5 6 8 9 8 8 8 8 9 10 12 13 15 15 15 14 13 12 10 8 7 5 4 4 4 5 6 7 8 8 8 8 9 12 14 15 15 14 12 10 8 7 6 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 nan
nan 7 8 7 6 5 5 5 6 6 7 8 9 9 8 6 4 4 5 7 7 8 8 9 11 11 11 10 10 10 9 7 6 6 7 7 7 8 7 7 7 7 8 9 9 10 10 10 9 8 7 6 6 6 7 7 7 7 7 7 7 7 8 8 9 10 12 14 14 14 14 13 12 11 10 9 8 7 7 7 7 8 9 9 9 10 10 11 11 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 4 5 7 8 9 8 8 7 8 10 12 14 16 17 16 15 14 13 12 10 8 7 6 5 4 5 5 6 7 8 8 8 9 11 13 16 17 16 14 12 10 9 7 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 5 5 5 5 nan
nan 7 7 6 5 5 5 5 6 6 8 9 9 8 7 5 4 5 6 8 8 8 8 8 8 9 9 10 10 10 10 8 7 7 7 8 9 9 9 7 6 7 7 8 9 9 9 9 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 11 10 10 9 8 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 10 11 11 11 10 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 6 4 4 5 7 9 9 8 7 8 12 16 19 21 21 19 17 15 14 13 12 10 9 7 6 5 5 5 5 7 8 9 9 9 10 14 17 18 18 17 15 12 10 8 7 6 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 6 5 5 5 5 nan
nan 6 6 6 5 6 6 6 6 7 8 8 7 5 4 4 4 6 7 8 9 10 9 8 7 7 8 9 9 9 9 9 9 8 7 8 8 9 9 8 7 7 7 8 8 7 7 7 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 6 6 5 4 4 5 5 6 6 7 7 7 7 7 7 8 8 8 8 7 8 9 11 12 11 10 9 9 9 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 8 6 4 4 5 7 8 8 8 9 13 17 20 22 24 24 22 19 16 14 13 12 10 9 7 6 6 5 6 7 8 8 8 9 11 14 16 18 19 19 17 14 11 9 8 7 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 6 5 5 5 5 nan
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nan 7 7 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 8 8 7 8 7 5 4 4 5 7 10 11 10 9 9 9 9 8 7 6 7 9 11 14 14 12 10 9 8 8 8 8 9 9 9 9 10 10 8 7 6 6 6 5 5 5 4 4 4 5 6 6 6 6 6 6 7 8 8 7 8 9 9 9 8 8 8 8 8 9 10 10 11 10 10 9 8 7 6 5 6 6 7 9 9 10 10 11 11 11 11 12 11 11 11 10 10 9 8 8 8 9 9 9 8 7 6 4 3 2 1 2 6 10 13 16 17 18 17 16 14 12 10 9 8 8 8 8 8 9 12 15 18 21 22 22 21 20 18 17 15 13 11 9 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 6 6 6 5 6 nan
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nan 11 13 13 14 12 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 13 14 14 15 16 16 17 17 16 15 13 12 13 13 12 12 11 11 11 11 11 12 13 15 16 16 14 13 13 14 16 17 18 18 16 12 7 3 3 4 6 7 8 10 11 11 11 10 10 10 9 7 5 6 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 11 15 19 23 26 28 28 28 26 25 24 23 23 22 22 22 21 22 21 20 18 18 17 15 14 12 9 4 1 0 2 3 4 6 9 9 9 10 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 12 12 12 11 10 10 9 9 9 10 11 11 10 10 9 9 8 9 9 10 10 9 9 9 8 9 11 15 20 21 22 23 23 24 23 22 nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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4 4 4 4 3 3 4 4 4 3 3 3 4 6 8 10 11 14 16 19 19 17 17 16 15 15 15 16 16 16 16 17 19 19 19 20 20 20 20 16 14 15 17 20 22 24 25 25 25 27 29 30 32 31 28 26 25 22 20 18 16 15 14 12 10 8 7 6 6 6 5 5 6 6 7 7 7 8 7 8 7 6 5 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 0 0 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 3 23 73 171 289 388 432 414 380 341 299 259 225 202 174 159 149 137 130 122
3 4 4 5 5 5 5 5 5 5 5 5 5 10 14 18 21 25 29 33 33 30 27 24 21 19 17 17 18 19 20 22 25 26 25 24 23 22 21 19 18 17 18 20 21 23 24 25 26 28 31 32 35 35 33 32 30 29 26 24 22 21 18 16 14 12 10 9 7 6 5 4 4 3 3 3 3 3 2 2 3 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 63 149 250 360 395 394 374 342 306 270 239 209 183 162 142 137 131
3 4 4 4 4 5 6 6 6 5 5 5 6 11 17 22 26 31 36 41 37 28 20 15 13 10 8 7 7 9 13 17 20 22 23 23 22 20 18 18 19 19 19 20 20 21 22 23 24 27 28 30 33 35 36 36 35 32 29 27 25 23 21 20 18 17 16 14 12 10 7 5 4 3 3 3 3 2 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 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 13 44 105 236 327 379 404 377 353 318 284 253 226 196 167 151 143
3 3 3 4 4 5 5 6 6 6 5 5 7 12 17 20 24 28 34 35 27 16 6 2 2 2 1 1 1 2 4 6 8 9 12 14 13 13 13 14 16 17 18 19 19 20 21 22 23 24 28 29 32 34 37 39 37 35 32 31 29 27 26 25 23 22 21 19 16 14 12 9 7 6 5 4 3 3 3 3 3 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 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 0 0 0 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 0 0 0 0 0 6 31 106 215 325 420 409 392 360 322 291 275 244 210 186 170
3 3 3 3 3 4 5 5 5 5 6 5 7 10 13 17 20 23 28 27 21 12 4 0 0 0 0 0 0 0 0 0 1 2 2 3 4 6 6 8 11 13 15 16 16 17 19 20 20 22 24 26 28 31 35 40 39 37 35 33 31 29 28 27 26 25 23 21 19 17 15 14 13 11 9 7 6 5 5 5 5 5 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 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 0 0 0 0 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 0 0 0 0 0 8 39 103 203 331 386 405 398 370 334 315 281 246 219 204
2 3 3 3 3 3 2 3 3 4 5 6 6 7 10 12 15 18 22 23 20 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 10 12 14 15 15 16 16 18 19 21 23 25 28 33 35 35 34 33 31 29 28 26 26 25 24 22 21 19 18 17 16 15 13 12 10 9 8 8 8 7 6 5 5 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 2 1 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 1 1 1 0 1 1 1 3 9 24 82 184 288 380 446 437 389 350 313 276 239 226
2 2 2 1 1 1 1 1 1 2 4 5 4 5 7 8 11 14 16 18 18 15 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 8 10 12 13 14 14 13 13 13 15 17 19 21 25 28 30 31 31 29 27 25 23 22 23 25 24 22 20 18 17 17 16 15 14 14 15 13 12 11 10 9 8 8 7 6 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 5 5 3 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 1 2 1 2 2 3 3 6 5 19 69 151 264 400 426 412 386 357 303 266 244
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0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 4 5 7 9 10 11 12 13 14 12 10 8 7 6 5 3 3 3 4 6 9 11 12 13 14 14 14 13 13 12 11 10 8 9 9 8 8 8 9 11 12 13 14 15 16 16 18 21 25 30 33 35 36 34 31 29 28 28 28 27 26 25 23 22 22 22 22 23 23 23 24 23 21 21 19 18 15 12 9 7 5 4 5 6 6 7 8 8 9 9 10 12 15 16 16 14 10 7 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 1 3 2 1 0 0 0 0 1 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 14 16 16 16 17 15 13 12 11 9 16 37 66
2 3 3 3 3 3 2 2 1 2 3 3 3 4 5 5 5 5 5 5 6 6 8 9 11 12 12 13 14 15 15 15 14 11 8 8 8 9 10 11 13 13 13 13 14 13 13 12 11 10 10 9 9 9 9 9 9 9 10 11 11 13 14 15 16 18 22 26 31 35 36 35 33 31 30 29 31 30 30 29 28 27 26 26 26 26 27 28 30 31 30 28 27 25 23 21 18 14 11 8 7 7 7 8 12 13 13 13 14 13 14 17 19 19 15 10 6 2 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 1 1 0 2 3 4 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 14 16 17 18 16 14 13 13 12 15 24 37
3 5 6 6 6 6 6 6 6 5 6 6 6 6 7 7 7 7 7 7 7 7 7 8 10 12 12 14 15 16 16 17 17 13 12 12 12 12 12 13 13 13 13 13 13 13 12 11 10 10 9 9 9 9 9 8 8 9 10 11 11 12 14 14 15 17 21 25 29 32 33 32 30 28 28 30 32 32 32 30 30 29 29 29 29 30 31 32 34 35 36 37 35 34 32 28 25 20 15 12 11 11 10 12 14 15 15 15 16 17 20 23 25 22 15 9 4 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 3 5 6 6 7 8 6 4 4 4 6 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 12 15 16 16 15 14 14 15 15 18 25
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8 8 10 12 15 17 18 19 18 18 18 18 18 17 15 14 14 14 13 11 11 11 10 10 11 12 14 17 18 18 18 17 17 17 17 19 20 21 21 21 20 19 19 18 19 17 15 14 13 12 12 11 12 11 10 9 9 10 10 10 10 11 13 14 16 18 19 22 24 25 24 23 23 25 27 30 32 33 33 32 33 34 35 37 41 44 45 45 45 46 49 49 50 52 53 53 46 38 30 25 20 17 18 20 20 20 21 22 22 22 24 28 30 24 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 5 7 8 10 12 14 16 17 16 13 13 14 14 13 9 5 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 15 17 15 14 15 16 17 19 19
14 17 20 21 24 25 26 26 25 26 26 27 27 27 28 27 26 24 22 20 18 16 16 15 14 14 16 19 22 22 21 21 20 20 20 21 22 23 24 24 23 23 22 21 21 21 20 19 17 15 14 14 14 14 12 10 10 10 10 11 11 12 13 14 16 18 20 22 23 23 22 21 22 24 25 27 29 32 34 35 36 37 39 43 47 49 50 50 51 54 59 61 62 62 63 62 57 49 41 34 27 21 22 24 25 24 24 24 24 25 28 33 35 29 15 4 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 1 2 4 6 8 10 12 14 16 18 18 16 14 13 12 10 8 5 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 14 15 15 15 14 14 15 16 18
23 27 28 28 30 31 31 31 32 32 33 35 37 40 42 41 40 39 37 35 32 31 28 25 23 22 22 25 26 26 25 25 24 23 23 23 24 25 26 26 26 26 25 26 26 25 26 25 23 21 19 19 21 20 18 14 13 13 13 13 13 13 14 15 16 17 19 21 22 22 22 22 24 25 26 27 27 34 37 40 42 44 46 49 48 48 50 53 58 65 71 75 75 73 70 68 65 58 50 43 36 30 28 28 27 26 25 25 28 32 37 43 43 37 23 8 2 0 0 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 8 9 11 12 14 14 11 10 11 10 9 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 13 14 15 14 13 13 16 19
26 28 28 28 29 30 31 32 32 33 35 39 43 47 51 53 52 51 49 49 46 44 41 37 32 29 28 29 29 28 27 26 25 24 24 23 24 26 27 28 28 28 27 28 29 30 31 31 29 27 25 25 26 27 26 22 19 18 17 18 17 16 16 16 17 17 18 21 22 23 24 25 24 25 27 28 27 32 38 44 47 49 57 55 54 56 61 67 72 76 80 81 79 75 70 65 62 59 56 50 44 39 35 32 31 32 31 31 33 37 40 43 43 37 27 14 4 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 6 7 9 11 10 8 8 10 9 8 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 13 13 12 12 14 17
23 24 24 24 24 24 26 27 27 29 31 33 36 39 40 43 44 45 45 46 48 48 46 41 37 32 29 28 27 25 25 25 23 21 21 22 23 26 29 28 27 27 28 30 31 32 34 35 35 34 33 32 30 29 27 25 23 23 22 22 20 18 18 19 19 18 20 20 21 24 27 28 27 26 26 29 29 33 40 48 52 53 58 60 63 67 72 79 82 83 83 80 75 71 65 62 61 62 60 55 50 45 41 38 34 31 29 30 32 35 39 43 43 40 33 23 12 5 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 5 6 7 8 8 9 9 7 5 4 3 3 3 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 10 11 12 15
16 17 18 18 18 19 20 21 22 23 23 24 25 26 26 27 27 27 29 31 34 37 38 38 36 32 30 28 27 25 25 24 22 22 22 22 22 24 27 28 27 27 28 29 30 33 36 38 38 40 39 38 37 33 31 27 25 24 25 26 25 24 24 24 22 21 21 21 22 24 27 30 30 29 29 30 32 36 47 57 57 58 63 68 72 75 79 83 84 82 80 75 69 62 60 62 66 70 64 59 54 50 46 40 28 22 21 22 24 26 35 43 47 47 41 34 24 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 5 7 9 5 4 5 5 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 10 10 11
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