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 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 14 14 13 12 10 9 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 nan
nan 8 8 9 9 9 9 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 8 9 9 9 9 9 10 10 10 9 8 7 6 5 5 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 11 12 13 13 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 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 9 9 9 9 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 6 6 7 7 7 7 7 6 6 5 5 5 5 6 6 7 7 7 7 8 8 7 7 8 8 8 9 9 9 9 9 9 9 10 9 9 9 11 12 12 11 11 11 12 11 11 11 11 10 10 10 9 10 10 10 nan
nan 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 6 5 5 5 5 6 6 6 6 6 5 5 5 4 3 3 4 5 7 8 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 8 8 9 9 9 9 9 9 9 9 10 10 9 8 9 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 nan
nan 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 8 8 8 8 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 4 4 5 5 5 5 6 6 6 5 5 4 3 3 4 5 7 9 9 9 9 8 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 nan
nan 9 9 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 11 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 5 4 4 4 4 5 5 6 6 6 6 6 7 7 6 6 7 7 8 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 10 10 10 9 9 10 nan
nan 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 7 8 8 8 8 8 7 8 8 8 9 8 8 8 8 7 6 6 6 7 7 7 7 7 7 6 6 5 5 5 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 8 8 10 11 12 12 11 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 9 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 8 6 4 4 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 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 5 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 9 9 10 12 13 14 15 15 14 12 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 6 6 8 11 15 15 12 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 7 4 1 -1 nan
nan 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 5 5 6 6 6 6 6 7 9 10 11 12 13 15 17 18 18 18 16 15 13 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 5 5 4 3 5 9 14 16 15 13 11 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 5 2 -1 nan
nan 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 6 6 8 9 11 13 14 15 16 18 19 19 19 18 16 15 13 12 11 10 9 8 8 7 7 7 8 8 7 7 7 7 7 6 5 5 6 6 4 3 3 6 11 16 18 17 14 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 10 9 8 6 4 nan
nan 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 4 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 4 4 4 5 5 5 5 5 4 5 6 7 8 8 8 8 8 10 12 13 14 15 16 16 17 17 17 17 16 15 14 14 13 13 12 11 10 9 8 8 8 8 8 8 7 7 7 6 6 5 5 6 7 7 5 4 3 4 8 14 18 19 16 12 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 nan
nan 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 4 4 5 5 5 6 6 7 7 7 7 7 7 6 5 4 5 5 5 5 5 4 4 4 4 4 4 5 6 6 7 7 7 8 9 10 12 12 12 13 13 14 15 16 16 16 16 16 15 15 15 14 13 13 13 13 13 13 13 12 11 10 8 8 8 8 8 7 6 6 6 6 5 4 5 6 7 7 6 5 5 5 7 12 17 18 16 13 11 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 nan
nan 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 7 7 7 8 8 8 8 7 6 6 5 5 5 5 5 5 5 4 4 4 5 5 6 6 8 9 10 11 12 13 14 14 15 15 16 16 16 16 16 16 16 15 14 14 13 13 12 12 12 12 12 12 12 13 13 12 11 9 7 7 7 7 7 7 6 6 6 5 4 4 5 6 7 8 7 7 6 6 8 12 15 17 16 13 11 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 nan
nan 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 9 10 11 12 13 14 15 16 16 16 16 16 16 16 16 16 15 14 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 9 7 7 7 7 7 6 6 5 5 5 5 5 6 7 8 8 8 7 7 7 9 12 15 17 17 14 11 10 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 8 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 9 9 10 11 12 13 13 14 15 15 15 16 16 16 16 15 15 15 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 9 9 8 8 8 7 6 5 5 5 5 6 7 8 8 8 8 7 7 7 8 10 12 15 17 17 14 10 8 9 11 11 10 9 9 9 9 10 10 10 10 10 11 10 10 10 10 9 9 9 10 11 nan
nan 10 10 10 9 9 8 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 11 11 12 12 12 13 14 15 16 16 16 16 16 15 15 15 14 14 13 13 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 11 10 10 9 8 7 6 5 5 5 6 7 7 8 8 8 8 7 7 7 8 10 12 15 17 17 13 9 7 8 10 11 10 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 9 8 10 11 nan
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nan 12 13 14 14 15 14 13 11 10 9 8 8 8 9 9 9 9 9 10 10 11 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 12 12 13 13 14 15 15 16 16 16 16 15 15 14 14 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 9 10 11 11 11 12 11 10 9 8 7 6 5 5 5 6 6 6 7 7 7 7 7 6 7 8 9 12 15 18 17 13 9 6 7 9 9 8 8 8 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 11 nan
nan 11 12 13 14 15 15 13 11 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 10 10 9 8 7 6 6 6 6 6 6 6 6 7 7 6 6 7 8 10 12 17 19 17 13 9 6 7 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 10 10 11 11 12 nan
nan 9 9 10 12 13 14 13 13 12 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 6 5 5 4 5 5 6 6 6 6 6 7 8 10 14 18 20 18 14 9 7 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 12 nan
nan 7 7 7 8 10 11 13 14 14 13 11 10 10 11 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 8 8 6 5 3 3 3 4 5 6 6 6 5 6 7 9 12 16 20 21 18 13 10 9 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 nan
nan 6 5 5 5 6 8 11 13 14 13 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 4 3 4 5 6 5 5 5 5 6 7 9 13 17 20 19 14 11 10 10 11 10 9 9 9 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 11 nan
nan 6 5 5 5 5 6 8 10 11 12 12 12 13 13 13 12 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 11 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 6 5 5 5 6 6 5 5 4 5 6 7 10 13 17 18 15 11 9 10 11 11 10 9 9 9 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 10 nan
nan 7 6 6 6 6 6 7 9 11 13 15 16 15 15 14 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 13 12 11 11 10 10 10 10 9 8 8 7 8 8 9 9 9 9 9 9 8 8 8 7 8 7 7 6 6 6 6 5 4 4 4 6 7 9 12 15 15 12 10 9 11 12 11 9 8 8 9 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 10 nan
nan 9 8 7 6 6 6 7 10 13 16 18 18 17 15 14 13 13 13 13 12 12 11 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 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 12 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 6 4 3 4 5 7 9 11 13 12 11 10 11 11 11 10 8 8 8 9 9 10 10 10 10 10 10 11 10 10 9 9 9 9 8 9 9 9 nan
nan 9 9 8 6 6 6 7 11 14 16 18 18 17 15 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 11 11 10 10 10 9 9 9 9 10 10 11 11 12 11 11 10 9 9 9 9 9 9 9 9 9 8 6 5 4 4 5 7 8 10 11 11 11 11 11 11 10 9 8 8 9 9 9 10 11 11 11 10 11 11 10 9 8 8 8 8 8 9 9 10 nan
nan 9 8 7 6 6 6 7 10 13 15 17 17 15 14 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 11 10 10 10 10 11 11 12 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 10 9 7 5 4 4 5 6 7 9 10 11 11 11 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 11 10 8 7 7 7 8 9 10 11 nan
nan 9 8 7 6 6 6 8 10 13 14 15 14 13 13 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 12 14 14 14 13 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 10 9 8 6 5 4 5 6 7 8 10 11 12 11 10 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 11 10 9 8 7 6 7 9 12 12 nan
nan 8 7 7 6 7 8 10 12 14 14 14 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 10 11 13 14 15 14 14 13 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 10 9 7 5 4 5 5 6 8 10 12 13 12 11 10 9 9 8 8 9 9 9 9 9 10 11 11 11 11 11 11 11 9 8 6 6 9 12 13 nan
nan 7 7 7 7 8 10 12 14 15 13 12 11 11 11 11 11 11 12 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 9 9 8 9 9 11 12 13 14 14 14 14 13 13 12 12 12 13 12 12 11 10 9 9 9 9 10 10 10 8 6 5 5 5 6 7 9 11 13 12 11 11 10 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 7 8 9 10 nan
nan 8 7 8 9 10 12 14 15 14 12 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 11 10 10 10 10 9 9 8 9 9 11 12 12 12 13 14 14 14 13 13 13 13 13 13 12 11 10 10 9 9 10 10 11 11 9 7 6 5 5 5 6 8 10 11 12 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 8 7 7 nan
nan 9 9 10 11 13 14 15 14 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 8 8 8 8 9 9 9 10 10 11 10 10 10 10 9 9 9 9 9 9 10 11 11 12 13 14 14 14 13 13 14 14 14 14 13 12 11 11 10 9 10 10 11 11 10 8 6 5 5 5 6 7 8 9 10 10 10 10 9 9 8 8 8 9 9 8 8 8 8 9 9 10 11 11 10 9 9 9 9 8 7 nan
nan 11 11 12 13 14 15 14 13 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 12 13 13 14 13 13 12 13 15 15 16 15 14 13 12 11 10 10 11 11 12 11 9 7 5 5 5 5 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 8 8 8 9 10 11 11 9 8 9 10 10 9 8 nan
nan 13 13 14 15 15 14 13 12 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 11 10 9 8 8 8 9 9 9 9 9 8 8 7 7 8 8 9 9 10 10 11 11 10 10 10 10 11 10 10 10 10 10 10 11 12 13 14 13 12 11 11 13 15 16 16 15 15 14 14 13 13 13 13 13 12 10 7 5 5 5 5 6 6 6 7 7 7 7 7 8 9 10 9 8 8 7 7 7 8 8 9 10 11 10 9 9 9 9 9 8 7 nan
nan 13 14 14 14 14 13 12 11 10 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 7 7 8 9 10 10 9 8 7 7 7 7 8 9 10 10 11 12 12 11 10 10 11 12 12 11 10 10 10 10 11 12 13 14 13 12 10 9 10 12 14 14 14 14 14 15 16 16 16 15 14 13 11 8 6 5 5 5 5 6 6 6 6 6 6 6 8 9 9 9 9 9 8 7 7 7 8 9 10 10 10 10 9 9 8 8 7 6 nan
nan 13 13 13 13 12 12 11 10 10 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 10 10 11 11 11 10 10 9 8 7 7 8 9 10 10 9 8 7 7 7 8 8 9 10 10 11 12 12 11 11 11 12 12 12 11 11 10 10 10 10 11 13 14 13 11 9 8 8 9 11 12 13 13 13 14 15 15 15 15 15 13 12 10 8 7 6 6 6 6 6 6 6 5 5 6 7 7 8 9 9 9 8 7 7 7 7 8 9 10 10 10 10 9 8 7 6 5 nan
nan 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 9 9 8 8 7 7 7 8 9 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 10 12 13 12 11 10 9 9 10 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 10 8 7 7 7 7 6 6 5 4 4 4 5 6 9 10 10 9 8 7 7 7 7 8 9 10 10 10 9 8 7 6 5 nan
nan 11 12 12 12 12 11 11 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 10 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 10 11 11 12 11 11 11 10 9 9 8 8 9 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 13 14 14 13 11 10 9 9 9 8 8 7 5 4 3 3 6 9 10 10 10 9 8 7 7 7 8 8 9 10 10 9 7 6 5 4 nan
nan 11 11 12 12 12 11 11 10 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 10 10 10 10 10 10 11 12 12 12 11 11 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 9 10 11 11 11 10 10 10 10 9 8 8 9 10 10 10 11 12 12 13 13 13 12 11 10 9 8 8 9 9 8 9 10 13 14 15 13 12 11 10 10 10 10 10 10 8 7 5 6 7 9 11 11 11 10 8 7 7 7 7 8 8 9 8 6 4 3 2 2 nan
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nan 9 9 9 9 10 10 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 9 10 10 11 11 11 11 11 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 9 8 7 7 7 7 8 8 9 9 8 9 9 10 10 11 11 11 10 10 10 11 11 11 12 11 11 11 11 10 10 11 12 12 12 11 10 10 10 10 12 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 8 7 8 9 10 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 10 8 8 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 8 9 10 11 11 11 11 12 14 16 18 19 nan
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nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 8 8 9 9 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 9 7 5 4 3 2 1 0 2 6 10 14 17 16 14 12 11 10 9 9 8 9 9 9 8 9 9 9 9 8 7 6 6 7 9 11 11 10 8 6 5 4 4 4 5 7 8 9 10 11 11 11 10 8 6 5 6 7 10 12 14 15 17 18 20 21 20 18 15 14 13 12 12 11 10 9 9 9 10 10 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 10 8 6 5 4 3 2 0 -1 -1 1 5 9 11 11 11 11 10 9 9 9 8 8 8 7 7 8 8 8 8 7 5 5 6 8 10 12 12 11 9 7 5 4 5 6 7 8 9 10 10 10 8 6 5 5 6 8 10 11 13 14 16 18 21 23 23 21 16 12 11 10 11 11 10 9 9 8 9 9 9 10 nan
nan 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 8 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 12 11 9 8 6 5 4 3 2 1 -0 -1 2 5 7 9 10 10 10 10 10 9 9 8 8 7 7 7 7 6 6 6 5 5 6 7 9 10 10 10 8 6 4 4 5 6 7 8 9 9 9 7 4 3 4 7 9 11 11 12 13 15 17 19 22 23 23 20 15 11 9 9 10 10 9 9 8 9 9 9 9 10 nan
nan 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 11 10 8 6 5 4 3 3 2 2 3 4 5 7 8 9 10 10 9 9 8 8 8 7 7 6 6 5 5 5 5 6 6 6 5 5 4 4 3 2 3 4 5 7 8 9 9 9 8 5 3 3 6 9 11 11 12 13 16 18 20 22 22 21 20 17 12 9 8 8 10 10 10 9 9 9 9 9 9 9 nan
nan 10 10 10 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 10 10 11 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 13 12 12 10 8 7 6 5 4 4 4 4 4 5 5 7 9 10 10 9 8 7 7 7 7 7 6 6 5 5 5 5 6 6 5 4 2 1 1 1 2 3 5 6 7 8 9 9 9 8 6 4 5 6 9 10 12 14 18 22 24 26 25 22 19 16 12 9 7 7 8 10 10 10 10 9 9 9 9 9 9 nan
nan 10 10 10 11 11 10 10 11 11 11 11 11 11 11 11 11 10 11 12 12 13 13 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 13 13 13 13 13 13 11 10 9 8 6 6 6 5 5 5 5 7 9 10 10 8 7 7 7 8 8 8 8 8 7 7 7 8 7 7 6 5 5 4 3 4 5 6 6 7 8 8 8 9 9 9 7 6 5 6 7 10 13 18 23 26 28 29 26 21 16 11 7 6 6 7 9 10 11 11 10 10 10 9 9 9 9 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 13 12 12 12 11 11 12 11 11 10 9 9 10 11 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 11 9 8 7 7 5 5 6 8 10 10 10 8 7 8 8 8 9 9 10 10 12 13 13 12 11 10 9 8 7 7 7 7 7 7 7 8 8 8 8 9 10 10 8 7 6 6 8 11 15 21 25 27 27 26 22 17 13 8 5 5 5 7 9 10 11 11 11 11 11 10 10 10 10 nan
nan 11 12 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 8 7 7 9 11 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 14 14 13 12 11 10 8 6 5 6 7 9 9 9 8 8 8 9 10 11 12 13 13 13 14 15 15 14 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 9 14 19 24 27 27 25 22 18 15 12 8 5 5 6 7 9 10 11 12 12 12 12 11 11 10 10 nan
nan 12 13 14 14 14 13 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 9 9 10 10 10 8 6 4 5 7 10 11 12 12 12 12 13 13 13 13 13 14 14 14 13 13 12 12 12 12 13 13 13 13 14 14 14 13 12 10 8 7 7 7 7 8 8 9 10 10 10 11 13 15 15 14 12 9 10 11 12 13 12 12 11 10 9 9 9 8 8 8 8 8 8 8 9 10 10 11 10 10 13 17 22 26 27 25 22 18 16 15 12 10 9 8 8 9 10 11 11 12 12 12 13 13 12 11 11 nan
nan 13 14 14 14 13 13 12 12 11 11 11 11 11 11 10 10 10 11 11 11 12 12 11 11 10 9 9 10 9 8 6 5 6 7 9 10 10 11 11 12 12 12 12 13 13 14 15 14 14 13 12 12 12 12 12 12 12 13 13 14 14 14 14 12 11 10 9 9 8 8 9 10 10 10 10 11 13 15 15 15 11 7 5 5 5 7 8 9 10 10 10 9 9 9 8 8 8 8 8 8 9 10 11 12 12 13 16 19 22 23 22 19 15 13 13 14 14 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 nan
nan 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 9 9 9 10 10 11 11 11 11 11 11 11 11 12 13 13 14 14 13 13 12 12 12 12 11 11 12 12 13 14 14 15 15 14 13 13 12 12 11 11 10 10 11 11 11 11 12 13 14 15 14 10 8 5 4 5 6 8 8 9 9 9 9 9 8 8 9 9 9 9 9 10 11 12 13 15 17 18 18 17 15 12 10 9 10 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 14 nan
nan 12 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 13 12 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 13 12 12 12 12 12 11 11 10 10 11 12 12 13 14 15 15 15 14 15 15 15 14 14 13 12 11 11 11 11 12 12 13 14 15 14 13 11 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 9 10 10 12 13 14 15 16 15 13 12 10 9 9 9 9 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 12 13 14 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 11 12 13 14 14 14 15 15 14 14 13 12 11 11 10 10 11 11 11 11 11 10 11 12 12 12 12 11 11 10 10 10 11 11 12 13 13 13 14 14 14 15 16 16 16 15 14 12 12 12 12 11 11 10 11 12 13 14 14 15 15 15 14 13 12 12 11 10 10 9 9 9 10 10 10 10 11 12 14 15 14 13 11 8 7 7 8 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 12 13 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 9 10 12 13 14 14 14 14 13 13 12 12 11 11 11 11 11 10 10 9 8 8 10 11 12 12 12 11 11 10 10 10 10 11 11 11 12 12 13 13 14 14 15 16 16 16 15 13 13 12 12 11 10 8 8 9 10 12 14 15 16 17 17 18 18 17 16 15 14 13 12 12 12 12 12 13 13 14 14 14 12 10 7 6 6 7 9 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 12 nan
nan 12 12 12 12 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 9 9 8 7 6 6 7 8 11 12 12 12 12 12 11 11 11 11 11 12 12 12 11 10 9 7 7 8 10 11 12 12 11 11 11 10 10 10 10 10 11 11 11 11 12 12 13 13 14 15 16 16 15 14 13 12 11 10 10 9 8 8 10 12 15 16 17 18 18 19 20 20 21 20 20 18 17 17 17 17 18 18 18 17 16 13 10 8 7 7 8 9 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 12 nan
nan 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 10 10 10 10 9 9 8 7 7 8 9 11 11 11 11 10 10 10 10 10 10 11 11 12 12 11 10 8 7 8 10 11 12 12 12 11 11 10 10 10 11 11 10 11 11 11 11 12 12 12 12 13 14 15 16 16 15 14 13 11 11 11 11 11 11 13 14 16 17 18 17 16 16 17 18 20 21 21 21 21 21 21 22 22 22 21 20 17 13 10 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 nan
nan 12 12 12 12 12 12 13 13 14 14 13 13 13 12 12 12 12 12 11 10 9 8 8 9 9 10 11 12 12 11 10 9 9 9 9 9 9 10 11 12 12 11 10 9 8 9 11 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 15 14 14 13 12 12 12 12 13 13 13 14 14 15 16 15 14 13 13 15 16 18 18 18 18 19 20 20 20 20 19 17 15 13 12 12 12 12 12 12 11 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 nan
nan 12 11 11 11 11 11 11 12 13 13 14 14 14 13 13 13 12 12 11 9 8 8 8 8 9 10 11 12 12 11 10 8 8 8 7 7 7 8 10 11 12 12 12 11 11 11 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 12 13 13 13 13 13 13 14 14 15 15 14 14 14 14 14 14 14 13 12 12 12 13 12 12 12 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 11 11 11 10 11 11 11 12 nan
nan 11 11 10 10 10 10 10 11 12 12 13 13 14 14 13 12 11 10 9 8 8 8 9 9 9 10 11 12 12 10 8 6 6 6 6 5 6 7 9 11 12 13 13 13 13 13 13 12 11 11 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 12 12 12 13 12 12 12 13 13 13 13 12 11 10 9 9 9 10 10 11 12 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 11 11 11 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 11 11 11 10 10 10 10 11 11 12 12 12 13 13 12 11 9 8 8 9 9 10 10 10 10 11 11 12 11 10 7 5 4 4 5 6 6 7 9 11 12 13 14 14 14 14 13 12 11 11 10 10 10 10 10 10 11 11 11 12 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 10 11 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 11 11 11 11 11 11 10 10 10 10 9 10 10 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 10 11 11 11 11 11 11 11 11 12 10 8 5 5 5 7 8 8 9 10 11 13 14 14 14 14 13 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 12 12 11 10 10 9 9 9 8 8 9 9 10 11 11 11 10 10 9 9 9 9 10 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 9 9 10 10 11 11 11 11 11 11 nan
nan 10 11 11 11 12 12 13 12 12 11 10 10 10 10 9 9 9 10 11 12 12 12 12 12 11 11 10 11 12 11 9 7 7 7 8 9 10 10 11 12 13 14 14 14 13 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 11 11 11 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 11 11 11 12 12 11 nan
nan 10 10 11 12 13 14 14 14 13 12 11 10 10 9 9 9 10 11 12 13 13 13 13 12 11 11 10 10 11 11 10 9 9 8 8 9 10 11 12 13 14 14 14 13 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 9 9 8 7 6 7 7 8 8 9 9 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 nan
nan 9 10 11 12 13 14 15 15 14 13 12 11 10 9 9 10 11 11 12 13 13 13 13 13 13 11 10 9 9 10 10 10 9 9 9 9 10 11 13 14 14 14 13 12 11 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 8 7 7 6 6 5 5 6 7 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
9 8 8 7 7 7 6 6 5 5 5 4 3 3 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 0 0 0 0 0 0 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 5 9 11 12 13 15 15 12 9 13 16 17 16 13 11
9 8 8 8 8 8 7 7 6 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 9 10 10 9 11 14 16 15 11 12 15 17 18 18 18 15
10 10 9 9 9 8 8 7 7 7 6 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 9 8 7 8 9 9 8 12 17 21 24 24 23 21
11 10 9 9 8 8 8 7 7 7 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 4 6 9 10 6 4 4 4 5 10 16 21 25 27 29 28
11 10 9 9 8 7 7 7 6 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 5 6 9 12 8 5 3 2 3 4 9 16 23 30 37 39
9 9 9 9 8 8 7 6 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 4 5 6 7 7 5 4 3 1 0 2 8 18 32 48 56
8 8 8 8 8 7 7 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 2 2 2 3 2 3 4 4 3 1 0 0 0 3 11 27 54 73
7 7 7 7 7 6 6 5 5 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 1 2 1 0 1 1 1 2 2 2 4 7 9 10 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 1 0 0 0 0 3 12 22 49 73
6 6 6 5 5 5 4 4 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 1 1 1 2 3 4 5 8 11 15 20 24 26 25 20 10 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 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 5 23 24 35 52
5 4 4 4 4 3 3 3 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 0 0 0 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 4 8 13 19 25 31 37 43 44 41 35 26 13 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 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 17 26 42 59
3 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 19 30 39 46 52 54 54 50 44 36 27 16 8 3 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 1 5 21 48 78
2 2 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 1 4 10 18 28 40 52 60 65 66 62 55 48 41 33 24 14 6 2 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 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 11 24 44
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 1 2 2 4 9 19 33 46 56 64 70 70 67 60 52 48 44 38 30 21 14 12 12 10 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 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 9
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 1 3 5 8 16 20 24 29 37 48 58 65 68 66 62 56 48 41 37 43 43 38 31 24 23 22 20 16 7 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 5 6
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 1 1 1 2 4 7 11 17 23 29 36 46 55 62 66 67 68 66 63 60 55 48 43 39 36 35 36 33 30 28 26 30 30 26 19 11 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 0 0 1 2 2 1 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 2 8 11
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 1 1 1 0 0 0 0 0 1 0 1 2 4 5 6 9 13 20 28 37 45 53 57 59 62 68 74 77 77 71 65 57 50 46 43 35 35 35 33 34 32 29 28 29 29 34 34 30 23 15 3 0 0 0 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 1 0 0 0 0 0 0 0 0 0 2 5 7 6 1 0 0 1 5 11 12
24 22 17 9 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 4 5 8 8 7 6 7 7 7 7 7 9 14 21 29 35 40 48 56 63 69 72 71 69 67 63 63 68 74 77 76 76 65 51 38 31 30 32 34 34 31 29 28 25 27 32 32 33 33 31 27 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 1 2 2 2 1 0 0 0 0 0 0 0 0 1 4 7 9 9 3 1 1 2 4 9 11
70 66 62 48 32 18 8 3 1 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 6 7 8 10 13 16 21 22 26 26 25 24 28 29 30 32 35 43 54 65 74 81 88 94 97 95 91 82 70 61 56 53 56 61 66 69 69 63 46 32 24 23 23 23 23 24 26 28 28 23 23 33 34 33 31 30 30 26 14 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 1 2 3 3 1 0 0 0 0 0 0 0 0 3 6 8 10 10 7 4 3 4 6 12 15
74 72 73 71 67 60 47 25 13 7 5 2 0 0 0 0 1 3 5 8 13 18 22 25 27 28 27 29 35 40 45 49 52 53 54 53 53 57 58 60 66 74 83 91 98 102 102 106 107 103 96 86 68 55 47 43 45 51 58 59 56 52 45 39 34 29 24 31 34 38 43 48 44 34 27 24 27 31 33 32 31 32 27 18 9 3 0 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 3 2 1 0 1 0 0 0 1 3 6 8 8 10 10 8 6 5 8 9 19 22
48 46 55 71 86 94 92 75 52 35 24 14 8 8 8 8 10 14 19 24 30 37 45 51 55 57 56 57 63 68 72 76 79 82 83 84 83 87 88 89 93 98 99 98 99 98 92 88 86 86 84 72 55 49 49 52 55 51 55 53 45 36 33 39 41 37 28 36 44 50 55 57 46 37 32 30 30 33 33 32 31 30 24 17 8 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 3 4 3 1 1 3 3 2 3 4 6 7 8 8 10 9 6 3 4 6 4 3 2
47 48 59 79 98 110 112 103 87 71 57 47 41 41 39 37 38 40 43 46 52 60 68 74 79 80 79 77 80 84 90 95 97 98 99 100 101 103 103 103 101 97 86 78 74 69 62 57 57 59 58 54 49 48 50 53 55 56 59 58 50 37 28 27 30 32 30 31 35 40 46 58 44 40 39 37 37 37 35 32 29 24 21 15 8 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 3 4 3 2 2 4 4 4 4 5 5 5 6 8 10 10 8 6 14 12 9 6 5
53 59 69 81 95 109 119 119 110 103 98 98 100 88 78 71 69 68 67 68 72 77 81 85 87 87 85 83 84 89 97 104 108 106 104 104 103 100 96 92 85 73 63 55 50 47 46 45 45 44 43 41 40 41 43 47 52 63 69 69 64 55 41 37 36 34 29 28 29 32 34 39 41 38 34 31 31 37 43 44 35 21 18 14 9 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 1 1 1 1 3 4 4 4 4 4 4 5 6 8 10 13 13 12 24 20 14 7 5
50 55 63 69 77 88 104 119 129 134 132 128 134 115 98 88 83 81 79 80 81 82 82 84 83 82 81 78 81 88 99 111 120 116 107 98 92 87 84 81 76 68 59 52 48 47 47 42 37 32 28 31 34 32 29 28 35 43 50 55 57 59 47 43 41 40 36 31 26 23 22 22 23 24 24 22 25 32 40 41 30 17 15 13 10 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 0 0 0 0 1 2 2 3 4 5 5 5 6 8 12 16 19 17 17 16 12 7 6
32 34 49 51 50 51 60 79 106 126 128 117 127 120 110 101 94 89 87 87 86 83 79 77 75 75 76 79 84 92 101 111 116 110 100 90 81 76 75 72 67 62 55 50 47 45 43 36 33 31 30 30 28 22 16 13 15 21 28 36 43 48 44 43 42 42 38 30 25 23 22 22 22 23 23 20 23 23 20 16 12 12 12 12 12 7 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 5 6 6 7 11 16 21 22 23 22 18 12 6 6
44 39 39 32 29 27 28 33 53 93 111 106 117 120 117 111 105 102 97 94 90 82 73 68 71 79 86 95 96 94 92 93 92 86 80 73 67 63 65 64 62 58 52 48 45 41 34 30 29 28 25 18 16 15 16 18 23 30 34 37 40 47 46 44 42 44 46 38 32 28 29 31 30 27 24 23 22 20 17 16 14 13 14 14 14 11 3 0 0 0 0 0 0 0 0 0 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 5 8 11 18 24 23 18 15 12 9 7 5
58 47 23 21 24 27 30 33 54 90 111 113 114 112 110 105 100 99 91 85 79 72 63 62 68 78 86 95 99 94 83 70 70 68 65 63 62 59 60 61 60 58 55 51 43 33 26 23 21 20 18 13 11 13 16 18 21 26 30 32 34 43 47 51 52 52 54 44 35 32 35 38 37 32 25 24 22 20 20 19 18 18 18 18 17 16 6 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 1 3 6 11 16 21 21 17 12 8 8 6 3
75 67 47 42 41 41 43 50 69 97 116 118 109 95 91 90 88 84 79 73 68 64 62 67 71 77 85 90 86 79 71 62 63 66 68 68 66 63 61 60 58 55 48 36 26 21 21 18 17 15 14 11 11 13 16 18 18 19 17 15 19 26 35 47 55 53 46 38 34 34 35 33 30 27 27 27 24 22 21 20 21 22 23 23 25 24 13 4 0 0 0 0 0 0 0 0 0 0 0 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 8 11 11 8 8 8 7 4 2
87 84 74 66 58 50 47 54 84 113 129 128 111 87 75 74 76 72 63 59 57 60 73 79 80 80 78 78 68 66 67 64 66 70 73 72 67 64 62 58 53 42 32 25 21 19 17 14 13 13 14 17 19 19 19 20 19 19 17 14 13 14 22 35 46 43 38 36 38 38 30 26 24 25 27 29 27 22 18 18 20 23 26 30 34 33 23 12 3 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 7 8 7 4 1 1
92 88 80 71 63 59 63 80 114 142 157 152 127 99 79 69 65 60 55 59 67 76 82 80 73 65 60 68 66 66 67 67 69 69 64 57 53 50 49 48 44 35 25 21 19 16 10 7 5 7 11 15 17 18 18 19 18 17 15 13 10 7 14 22 27 27 29 31 32 30 22 18 18 21 27 33 31 27 24 22 20 20 23 30 38 40 35 23 8 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 1 1 1 3 6 8 7 4 1 0 0
87 82 77 74 73 79 90 108 141 174 188 178 143 109 82 64 55 52 53 58 67 74 75 70 64 58 57 70 72 70 67 64 61 56 50 44 41 38 38 36 33 32 26 21 15 8 1 0 0 2 7 10 12 13 15 16 16 15 14 13 11 8 12 15 17 18 20 22 21 17 13 11 11 14 21 28 35 40 41 34 23 24 28 31 39 45 44 35 18 7 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 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 1 1 1
83 80 80 82 86 97 114 137 174 208 216 188 128 94 72 58 50 48 47 54 62 68 71 68 65 62 61 69 69 65 60 57 54 52 50 49 50 53 57 49 32 27 25 21 15 8 1 0 0 1 2 4 4 7 11 13 14 14 14 14 15 14 14 14 13 12 13 14 15 13 12 11 10 10 15 24 38 50 54 46 27 24 28 33 40 48 50 45 30 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1
92 95 100 104 108 124 150 181 213 215 196 153 94 73 65 61 58 57 52 53 57 62 64 60 59 58 57 59 56 52 51 55 60 60 60 59 60 62 64 54 35 29 24 19 15 10 7 4 2 2 4 5 6 8 11 14 16 17 16 14 17 18 18 18 15 11 11 12 13 13 14 15 14 14 17 23 32 44 56 58 39 31 31 34 37 48 55 52 37 19 6 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 1 2
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