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 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 4 4 5 6 7 7 8 7 7 6 5 5 5 5 5 5 4 4 4 3 2 2 3 4 7 10 14 17 15 10 7 6 7 8 9 10 11 12 12 11 9 8 8 8 9 10 11 12 14 15 13 8 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 8 10 12 15 18 21 22 21 17 13 10 9 9 10 12 14 15 16 16 15 15 14 15 15 14 14 13 11 nan
nan 4 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 7 6 6 5 5 4 4 5 5 6 7 7 7 6 6 6 6 6 6 5 5 4 4 4 3 2 3 4 6 9 11 13 12 10 7 6 6 7 8 10 12 13 13 12 10 7 7 7 7 8 9 10 10 10 10 9 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 8 9 11 13 15 16 15 14 12 11 11 11 13 15 17 19 18 17 17 16 16 17 16 16 16 14 12 nan
nan 4 5 5 6 6 5 5 4 4 3 3 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 5 4 4 4 4 3 3 3 5 8 11 13 12 9 6 4 5 7 9 11 13 14 14 13 11 8 6 6 7 7 7 9 10 9 8 7 6 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 8 9 10 11 11 11 11 11 12 13 14 16 18 18 17 15 15 15 16 16 16 16 16 14 13 nan
nan 4 5 6 6 6 6 5 4 4 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 6 6 5 4 4 4 4 3 3 4 5 9 14 15 12 7 4 3 5 8 10 12 14 14 13 11 9 7 6 6 7 8 8 8 8 8 7 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 8 9 9 10 10 11 12 13 14 15 14 13 12 12 12 13 14 14 15 15 14 12 nan
nan 4 5 6 7 7 6 5 5 4 4 4 4 5 5 6 6 6 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 7 7 6 5 5 4 4 4 3 3 4 4 6 9 14 15 12 7 3 3 5 6 8 10 11 11 11 10 8 7 7 6 6 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 9 10 10 11 11 10 9 9 9 10 11 11 12 12 12 12 11 nan
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nan 8 8 8 8 9 10 9 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 6 6 7 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 8 9 8 6 6 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 7 6 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 9 9 9 8 6 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 7 7 8 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 7 7 7 8 8 9 10 9 7 6 6 7 7 8 8 8 7 7 7 8 8 8 7 8 8 7 7 8 9 10 10 10 9 8 8 7 6 6 7 8 8 9 8 8 7 7 7 7 7 7 6 6 7 7 6 5 5 5 5 4 3 3 4 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 8 8 9 9 8 6 6 7 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 8 8 9 10 10 9 8 7 6 6 7 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 9 10 10 10 9 8 7 6 6 6 7 9 9 9 8 8 7 7 7 7 6 6 6 7 7 6 5 5 6 5 3 1 0 1 3 5 7 7 6 6 6 6 6 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 9 9 9 10 10 8 6 7 8 9 8 8 8 8 8 8 9 9 8 7 7 7 8 8 8 7 7 7 8 9 9 8 8 7 8 8 8 8 8 9 10 10 10 9 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 9 9 9 10 10 9 7 6 7 7 8 9 9 8 7 7 7 7 7 6 6 7 8 8 6 6 5 5 4 3 2 1 1 3 5 7 7 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 10 10 10 9 10 8 6 7 9 9 9 9 8 8 8 9 9 9 9 9 8 7 8 9 8 7 6 6 7 8 9 8 7 6 7 8 9 9 9 9 9 10 9 9 9 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 7 7 8 8 9 10 8 7 7 7 7 7 7 7 8 8 8 7 6 5 5 4 4 4 4 5 6 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 10 11 10 9 9 7 6 7 9 10 10 9 9 9 8 8 8 10 11 11 9 7 7 8 7 7 6 6 6 7 7 7 6 6 7 9 10 10 9 9 9 9 9 8 9 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 7 7 8 8 8 7 6 6 5 4 5 5 6 7 8 7 7 6 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 11 12 12 10 9 6 5 6 9 11 11 10 9 9 8 7 8 9 12 12 10 8 7 6 5 5 5 6 6 6 5 5 5 6 7 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 6 7 7 6 6 6 7 7 8 8 8 7 7 7 8 8 7 8 8 9 10 10 9 8 7 6 5 5 7 8 8 8 8 7 7 6 5 5 5 6 7 8 8 7 6 6 6 6 5 5 5 4 4 4 5 5 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 13 15 14 12 10 8 6 6 8 10 11 9 8 8 7 7 7 9 10 11 10 8 7 5 4 4 5 7 7 6 5 4 4 5 7 9 10 10 10 10 9 8 7 7 7 8 8 8 8 8 7 8 8 9 9 9 8 7 7 7 6 5 5 6 7 8 8 8 7 7 7 7 7 7 7 8 8 9 10 9 9 8 6 5 5 7 8 9 8 7 7 7 6 6 5 6 7 7 7 7 6 6 7 7 7 6 5 5 4 4 4 4 5 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 nan
nan 9 13 15 15 13 12 10 8 6 8 10 11 10 8 8 8 7 7 9 9 8 8 8 6 5 4 4 5 7 8 8 6 4 3 4 6 8 9 10 10 10 9 8 7 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 6 5 5 6 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 6 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 6 7 7 8 8 7 6 5 5 4 4 5 5 6 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 nan
nan 7 9 12 13 12 12 11 9 7 8 10 11 10 10 10 9 8 8 9 8 7 7 7 6 5 4 4 4 6 8 9 8 6 4 4 6 7 9 9 10 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 5 5 6 8 8 8 7 8 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 6 6 5 6 6 7 7 7 7 7 7 7 8 8 8 7 7 6 5 5 5 6 6 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 nan
nan 4 5 7 9 10 11 11 9 7 7 9 11 11 11 11 10 9 8 9 8 8 8 8 7 6 5 3 3 5 7 8 8 7 6 6 6 7 8 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 5 5 6 7 8 8 7 8 8 7 7 8 8 9 8 7 6 6 7 8 9 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 nan
nan 4 3 4 7 9 11 11 9 7 6 8 10 11 11 11 10 8 8 9 9 8 8 8 7 6 5 3 3 4 6 7 8 8 7 7 7 7 8 8 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 11 10 8 6 6 6 7 8 8 8 8 8 7 7 8 9 9 8 7 5 6 7 8 9 9 9 9 9 8 8 7 6 5 6 7 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 nan
nan 5 3 4 6 9 11 11 11 9 6 6 8 10 11 11 10 9 8 9 9 9 8 7 7 7 5 4 3 4 5 6 7 8 8 8 8 8 8 8 9 9 7 5 5 6 7 8 8 7 7 6 7 7 8 8 7 6 6 7 8 10 11 11 10 8 7 7 7 8 8 8 8 8 7 7 8 9 10 9 7 5 5 7 8 9 9 9 9 10 9 8 8 7 6 6 8 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 10 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 nan
nan 6 4 3 5 8 10 12 13 11 7 5 6 8 10 10 11 10 9 9 9 9 8 8 8 7 6 4 4 4 5 5 6 7 8 9 9 9 8 8 9 9 7 5 5 6 7 8 8 7 7 6 6 7 8 8 7 6 6 7 9 10 11 12 11 10 9 8 7 7 7 8 8 8 8 8 8 9 9 9 7 6 5 6 8 9 9 9 9 9 9 9 8 8 7 8 9 9 8 8 8 7 7 7 6 6 7 8 8 8 8 8 9 10 11 11 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 5 4 3 4 6 8 11 13 13 9 6 5 6 8 9 10 11 11 11 10 9 9 8 8 7 6 6 6 5 5 5 6 7 8 8 9 9 9 9 9 9 7 6 5 6 6 7 7 6 7 7 7 7 8 8 7 6 7 9 11 12 12 12 11 11 11 10 8 7 7 7 7 8 9 9 9 8 8 9 8 7 6 6 7 8 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 10 11 12 11 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 nan
nan 5 4 2 3 4 6 9 11 12 10 7 5 5 7 8 10 11 12 12 11 11 10 10 10 9 7 7 7 7 6 6 5 6 7 8 8 8 8 9 9 8 8 7 6 6 6 6 5 5 6 6 7 8 8 8 7 7 8 10 13 14 14 12 12 12 12 11 10 8 7 6 6 6 8 9 9 8 8 8 8 7 6 6 7 8 8 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 10 12 11 9 7 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 3 3 3 3 5 7 9 11 10 7 5 5 6 7 9 11 12 13 13 13 13 13 12 11 9 8 8 8 8 7 5 5 6 7 7 8 8 8 8 8 8 8 7 6 6 5 5 5 5 6 7 8 8 7 7 7 8 10 13 14 14 13 12 12 12 12 11 10 9 7 6 6 7 8 10 9 8 7 7 6 6 6 7 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 10 9 7 6 5 6 6 5 4 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 6 4 4 4 4 5 6 8 10 10 8 6 5 6 7 8 10 11 13 14 13 13 13 14 13 12 10 9 9 9 7 5 4 5 7 8 8 8 8 7 8 9 9 8 7 6 5 4 4 4 6 6 6 6 6 7 7 8 11 13 13 13 12 12 12 12 12 12 11 10 9 7 6 6 8 10 10 9 7 6 5 6 6 7 7 8 8 8 8 9 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 6 6 7 7 6 5 5 4 4 5 5 6 6 6 6 6 6 6 7 nan
nan 7 6 6 6 6 6 7 8 9 9 8 7 7 7 8 8 9 11 13 13 12 11 11 12 12 11 10 9 10 10 8 5 3 4 7 8 8 7 7 7 7 9 10 10 8 7 5 4 2 2 4 5 5 5 6 6 7 9 11 12 11 10 10 11 11 11 11 11 11 11 11 9 7 7 8 10 11 9 7 6 6 6 6 6 7 8 8 8 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 7 6 6 5 4 4 5 6 6 6 6 6 6 6 7 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 11 12 12 11 10 10 9 9 8 8 8 9 10 10 7 5 5 7 8 8 7 6 6 7 8 10 10 10 9 8 6 3 1 2 3 4 4 5 6 7 10 11 11 10 8 8 9 10 10 10 10 10 11 11 10 8 7 8 9 10 9 8 7 7 7 6 5 6 7 8 7 7 7 9 10 11 10 9 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 8 9 9 8 8 7 6 5 5 5 6 6 6 6 6 6 6 7 nan
nan 8 8 8 9 9 8 8 8 7 5 5 6 8 8 9 9 9 10 11 11 11 10 10 8 7 6 6 6 7 9 11 9 7 6 7 7 7 6 6 5 6 7 8 9 10 10 10 9 5 2 2 2 2 3 4 5 7 9 11 11 9 7 7 8 8 8 8 9 9 10 11 11 10 9 9 9 9 9 9 9 9 8 6 6 6 6 6 6 6 7 8 9 10 10 9 8 9 9 9 8 8 8 8 7 7 7 8 7 7 7 8 8 8 8 8 9 10 10 10 10 9 6 5 5 5 6 5 5 6 6 6 6 7 nan
nan 8 8 8 9 8 8 8 8 7 5 5 6 7 9 9 9 9 9 9 9 9 10 10 8 7 6 6 6 6 8 10 9 7 7 7 6 6 7 6 5 5 6 7 8 9 11 12 11 8 5 3 2 2 1 2 4 6 9 10 10 8 7 7 7 7 7 8 8 9 10 11 11 11 11 11 10 9 8 9 10 10 10 8 7 7 6 6 6 6 6 7 9 9 8 8 9 10 9 9 8 8 9 8 8 8 8 7 7 7 7 8 8 8 8 9 10 10 10 11 10 9 6 6 5 5 5 5 5 5 5 6 6 6 nan
nan 8 8 9 9 8 7 7 7 7 6 5 5 6 8 9 10 9 8 6 5 6 9 10 8 7 7 7 7 8 8 8 7 7 7 7 5 5 7 7 6 5 6 7 7 9 10 12 12 10 8 6 5 3 2 2 4 5 7 9 8 7 7 7 7 7 7 8 8 9 10 11 11 11 12 12 11 9 8 8 10 11 10 10 9 9 8 8 7 6 6 6 7 8 8 8 9 9 9 9 8 9 9 9 8 8 7 6 6 7 8 8 8 8 8 9 9 9 8 8 8 7 6 5 5 5 5 5 5 5 5 6 6 6 nan
nan 8 9 10 10 9 8 7 6 6 6 5 4 4 6 9 10 10 8 4 2 4 7 9 9 8 8 8 8 8 7 6 6 7 9 7 4 4 6 7 7 7 7 7 7 8 9 10 12 12 11 10 9 7 5 5 5 5 7 7 7 6 6 7 7 7 7 7 8 9 10 11 11 11 12 12 11 10 9 8 9 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 7 6 6 7 7 8 9 9 9 8 8 8 7 6 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 nan
nan 9 10 11 11 11 10 8 6 6 6 6 4 4 5 8 10 12 9 5 3 3 5 7 8 9 8 8 8 7 6 4 4 7 9 9 6 5 5 6 7 7 7 7 7 7 7 9 10 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 10 11 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 6 7 7 8 8 8 9 9 9 10 10 9 7 7 7 7 7 8 8 9 9 8 8 7 6 5 5 6 5 4 4 4 4 4 5 5 5 5 6 6 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 1 3 5 1 12 38 62 80 83 70 53 42 39 37 38 43 43 34 14 18 11 1 7 14 8 0 0 0 5 27 54 95 189 233 225 237 299 410 512 582 674 642 447 266 155 96 63 42 28 22 19 16 14 18 20 23 26 37 61 89 95 78 46 37 42 62 92 135 184 211 198 143 68 48 49 103 202 347 549 787 1033 1160 1119 1039 1005 1030 1050 938 860 814 778 711 655 607 579 581 605 636 745 868 889 971 1082 1151 1193 1193 1172 1141 1067 928 785 715 612 493 363 278 252 254 261 285 338 467 611 623 493 405 397 410 484 624 745 891 973
4 7 15 23 29 16 41 70 91 94 78 49 23 17 17 20 15 31 28 29 32 19 5 0 4 12 13 0 0 0 1 14 32 56 94 136 181 222 270 359 465 600 640 452 241 139 102 83 73 66 49 40 23 15 14 19 19 22 26 31 38 36 28 22 6 4 8 23 57 124 197 237 228 169 110 118 186 289 418 574 780 975 1092 1065 931 831 808 826 839 688 587 501 432 401 400 416 433 434 472 507 569 649 734 842 959 1075 1160 1201 1214 1193 1144 1019 887 749 633 518 415 346 312 307 334 431 570 783 863 699 474 394 459 535 596 710 867 1004 1039
47 54 65 75 81 76 89 99 94 79 59 39 27 17 7 7 3 14 14 12 7 2 0 0 2 7 11 0 0 0 0 4 16 38 64 95 134 173 203 270 362 552 504 285 148 105 91 88 96 100 90 81 35 14 13 17 22 25 26 24 18 10 4 2 0 0 3 17 54 140 233 261 223 169 193 282 377 423 470 527 654 811 889 827 720 626 527 475 398 329 294 272 262 263 262 250 243 277 316 363 438 521 594 673 779 891 963 1014 1064 1118 1139 1083 978 836 695 582 514 483 468 543 604 799 1074 1262 1215 967 740 672 688 718 797 988 1104 1149 1118
113 127 146 168 182 171 133 96 69 53 36 23 33 23 9 14 13 17 12 5 1 0 0 0 0 0 0 0 0 0 1 1 6 14 21 41 86 113 179 216 259 386 365 230 131 94 85 88 87 68 64 54 27 10 10 16 22 24 26 24 15 5 0 0 0 1 11 34 83 184 296 324 272 228 288 389 407 341 282 258 282 344 395 379 309 241 242 224 189 174 178 185 193 199 191 188 182 207 238 284 356 416 451 503 610 715 789 839 914 990 1054 1075 1036 940 833 738 678 697 692 756 889 1111 1389 1429 1312 1210 1216 1329 1399 1365 1364 1441 1420 1345 1290
155 189 229 276 270 239 164 100 56 35 30 28 36 30 15 10 13 16 14 12 5 0 0 1 0 0 0 0 0 1 1 2 3 6 21 52 60 74 152 202 204 245 241 180 117 82 71 62 39 22 17 10 2 1 8 19 22 18 24 27 22 11 1 0 0 0 12 38 94 192 294 330 297 303 320 326 258 165 99 80 91 108 128 136 137 133 134 135 135 137 134 124 117 112 116 132 150 164 170 189 224 263 314 381 461 531 621 649 721 806 890 962 1008 1002 959 890 821 858 887 949 1066 1185 1228 1206 1195 1246 1386 1646 1876 1949 1845 1730 1614 1527 1493
165 205 287 343 299 267 191 117 64 34 29 31 32 34 34 25 14 29 34 19 3 0 0 1 0 0 0 0 1 1 2 3 9 18 21 32 49 87 144 159 162 182 161 120 89 68 63 45 10 3 1 0 0 0 8 18 16 11 20 29 28 15 3 0 0 0 7 26 63 121 184 216 195 202 223 200 144 86 55 64 83 94 102 106 103 101 111 112 102 91 75 65 60 55 61 67 67 68 83 109 140 179 225 267 312 340 433 460 517 600 678 751 834 896 899 872 845 859 879 1001 1148 1233 1249 1171 1113 1125 1189 1378 1434 1522 1524 1500 1456 1383 1406
173 221 280 340 300 261 191 121 73 44 32 27 27 32 43 55 61 69 48 16 2 1 0 1 0 1 1 0 1 1 2 3 13 29 26 25 51 83 109 100 103 131 140 111 73 52 42 27 2 0 0 0 0 2 9 15 11 10 20 30 31 15 4 0 0 0 4 13 31 52 72 94 98 103 101 90 74 55 52 74 77 74 74 78 79 78 84 78 64 53 37 34 31 23 20 21 25 33 46 63 86 112 141 173 224 259 299 338 385 435 484 533 583 635 673 685 696 710 719 777 881 969 997 947 903 916 922 915 914 940 957 1013 1062 1002 1033
162 207 259 326 303 256 198 138 88 53 36 28 31 39 58 62 78 60 23 3 0 0 0 0 0 1 1 0 1 2 2 3 10 26 36 26 54 50 62 54 49 87 120 97 56 32 14 7 1 0 0 0 0 3 8 11 7 8 21 27 28 14 4 0 0 0 1 4 12 25 30 39 45 45 40 36 34 35 46 62 64 57 54 56 55 51 50 46 39 34 25 21 15 7 5 5 8 13 20 28 39 61 91 126 166 198 230 270 303 324 354 378 403 437 465 475 491 509 522 540 556 593 634 655 690 719 721 705 687 691 702 708 725 725 767
135 168 227 285 284 243 201 152 93 54 37 38 46 56 74 76 65 34 8 0 0 0 0 0 0 1 0 0 1 1 2 3 6 20 53 41 48 31 30 40 60 90 104 79 31 14 2 0 0 0 0 0 0 2 7 6 2 4 17 23 23 14 4 0 0 0 0 0 3 12 16 18 19 20 18 17 20 26 38 57 61 48 51 50 40 33 31 28 25 19 13 9 6 2 0 0 1 2 5 10 16 30 52 80 108 136 172 212 241 253 263 269 286 316 331 331 337 351 368 381 386 376 403 446 485 507 526 540 548 546 534 506 506 527 504
108 127 173 240 263 293 371 346 164 84 54 52 61 67 70 64 45 17 0 0 0 0 0 0 0 0 0 1 1 1 2 3 5 12 57 58 57 52 52 68 90 95 86 81 20 7 2 0 0 0 0 0 0 3 7 2 0 4 12 20 21 16 6 1 0 0 0 0 1 5 6 8 9 9 9 12 15 21 35 64 50 35 34 31 25 22 19 17 14 9 5 3 2 1 0 0 0 0 1 4 10 17 30 47 64 85 113 146 182 205 192 195 217 237 247 245 244 251 260 267 233 239 268 281 298 318 330 347 380 385 353 322 337 342 311
101 113 149 226 272 502 747 617 266 137 85 56 58 65 60 47 29 10 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 15 62 85 86 78 73 72 75 80 71 74 19 6 1 0 0 0 0 0 0 0 0 0 1 4 8 13 18 17 11 4 0 0 0 0 0 2 2 2 3 4 4 5 9 14 22 49 38 25 21 20 19 17 15 11 9 5 2 1 1 0 0 1 0 1 3 5 7 9 15 24 35 46 61 83 116 132 123 124 137 155 171 179 177 174 185 184 179 180 173 171 181 186 184 191 191 206 214 212 215 216 213
108 124 145 226 363 696 837 521 253 179 115 57 54 61 54 37 19 7 1 0 0 0 0 0 0 0 0 0 0 1 1 2 6 34 71 71 62 72 84 83 91 114 96 53 14 3 0 0 3 4 2 1 0 0 0 0 1 3 3 5 9 13 13 7 0 0 0 0 0 1 2 1 1 3 4 3 6 10 14 28 28 19 14 14 15 12 8 6 4 3 1 0 0 0 1 1 2 2 4 5 5 7 13 17 20 24 30 44 58 63 65 68 75 86 95 102 103 95 96 100 101 100 99 100 102 102 105 109 114 123 126 128 129 130 136
142 180 190 272 512 716 622 339 242 229 140 62 56 58 47 26 8 1 0 0 0 0 0 0 0 0 0 0 0 1 1 3 15 55 78 67 62 92 109 104 133 148 102 39 9 2 2 4 7 6 4 2 0 0 0 0 0 1 0 1 3 9 14 10 2 0 0 0 0 0 1 0 0 1 2 2 3 7 13 21 20 12 7 10 11 9 4 3 2 1 0 0 0 0 1 1 2 3 3 4 4 6 7 6 8 11 16 21 24 25 27 31 34 35 32 35 43 43 44 49 54 58 57 55 53 52 50 51 55 64 68 67 66 66 67
167 232 269 368 539 603 465 310 295 246 158 76 57 55 43 22 6 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 32 73 79 70 92 137 156 151 167 149 72 22 7 5 7 8 8 6 4 2 1 0 0 0 0 0 0 0 1 6 16 8 3 1 0 0 0 0 0 0 0 1 0 1 1 3 7 11 8 3 2 6 9 7 3 0 0 0 0 0 0 0 0 2 3 3 3 4 4 5 5 5 6 7 8 10 10 10 11 11 11 14 11 10 15 18 21 26 30 32 31 28 28 28 28 27 27 29 30 31 31 30 32
182 257 312 369 436 452 376 318 317 228 165 93 66 60 46 23 7 0 0 0 0 0 0 0 0 0 0 1 3 6 11 25 77 92 109 146 176 181 176 174 152 93 35 11 6 6 7 8 7 6 4 2 1 0 0 0 0 0 0 0 0 3 17 13 7 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 6 8 6 2 0 0 0 0 0 0 0 0 2 3 3 3 4 4 4 5 5 6 7 7 6 6 6 7 8 8 10 11 10 10 9 10 13 15 17 16 15 13 14 15 14 13 13 14 15 15 16 18
192 235 262 281 318 340 298 276 286 219 173 123 88 69 48 21 3 0 0 0 0 0 0 0 1 3 8 12 16 26 54 80 105 108 116 131 156 184 173 166 115 54 19 8 5 6 7 7 5 4 0 2 0 0 0 0 0 0 0 0 0 5 15 14 11 8 7 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 2 6 3 3 2 0 0 0 0 0 0 0 0 2 3 3 4 4 4 4 4 5 5 5 5 4 3 3 4 4 5 7 10 10 10 9 8 8 8 7 6 6 6 6 6 5 5 6 7 7 7 7 6
172 184 174 177 217 251 239 231 248 220 184 154 119 87 54 19 1 0 0 0 0 0 0 0 3 13 25 26 27 48 94 128 133 119 127 186 272 299 177 146 80 29 13 8 6 6 7 5 4 1 0 0 0 0 0 0 0 0 0 0 0 5 10 13 13 10 9 8 7 4 2 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 4 4 4 4 4 4 4 4 3 3 2 2 2 3 6 8 9 9 9 9 7 4 4 4 4 3 3 3 4 3 4 4 3 3 3
127 114 81 80 132 178 195 199 217 206 178 157 133 99 58 23 4 0 0 0 0 0 0 1 10 31 48 41 37 62 108 157 165 156 174 212 212 168 134 97 49 22 12 9 6 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 10 8 7 6 7 6 4 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 5 4 4 4 4 4 4 4 3 3 3 2 2 2 3 4 5 6 5 7 5 4 3 3 3 2 2 3 3 3 3 3 2 2 2
72 52 45 58 94 132 156 166 186 181 160 143 120 88 56 26 6 0 0 0 0 0 0 6 27 58 69 59 56 75 112 182 229 232 207 165 127 99 63 37 30 21 13 8 4 2 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 2 3 3 3 3 4 5 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 2 3 4 4 5 4 4 4 4 4 4 5 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 1 2 2
43 39 50 64 79 104 123 133 150 152 142 133 115 83 49 22 8 0 0 0 0 0 1 17 54 86 86 73 78 86 115 208 256 205 124 68 44 20 4 6 24 17 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 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 1 2 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1
42 35 50 68 75 83 94 101 112 117 123 124 105 71 44 18 13 2 0 0 0 0 5 30 79 109 88 79 89 93 104 142 153 106 45 14 7 2 1 1 7 7 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 2 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 1 2 2 2 2 3 4 4 4 5 5 5 5 5 4 4 4 4 3 2 3 2 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 1
46 22 30 55 58 60 72 83 92 100 110 114 95 61 44 16 14 9 4 1 0 0 8 39 96 127 80 69 71 71 67 62 44 15 1 0 0 0 0 0 0 1 1 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 1 2 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 1 1 1 2 2 2 3 4 3 4 4 5 4 4 4 4 2 2 2 3 2 2 1 1 1 1 1 1 1 1 1 0 0 0 1 1 2 1 1
78 44 27 36 33 44 59 74 88 98 100 99 90 59 48 25 16 12 6 1 0 1 8 37 105 137 88 67 63 52 33 18 9 2 1 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 1 2 2 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 1 1 1 1 1 2 1 3 3 4 4 4 4 4 3 3 3 3 2 1 2 1 1 1 1 1 1 2 2 2 1 1 2 2 2 2 2
91 71 37 17 17 32 53 71 88 99 99 93 82 61 57 44 27 14 5 1 0 0 6 33 91 115 91 85 70 35 9 4 2 1 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 1 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 0 0 1 1 1 2 2 2 3 3 3 2 3 2 2 2 3 2 1 2 2 1 2 2 2 2 2 2 2 3 3 3 3 3 3 2
69 61 32 8 11 24 45 62 85 99 111 122 99 87 100 75 47 29 16 6 0 0 5 35 72 72 66 87 79 37 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 1 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 2 3 3 2 2 2 2 2 2 3 2 2 3 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4
47 39 19 5 6 11 36 61 87 97 101 111 88 77 79 63 43 28 17 7 1 0 3 26 50 35 32 61 65 33 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 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 1 2 2 2 2 1 2 3 3 3 3 3 3 4 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5
43 30 9 5 4 10 43 77 95 87 68 60 51 51 36 45 41 40 28 9 0 0 1 11 39 35 29 33 27 9 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 1 2 1 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 4
53 36 10 6 5 17 38 49 42 32 34 28 19 10 10 23 27 25 17 5 0 1 3 13 42 43 31 19 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 2 2 2 3 3 3 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4
57 41 18 10 10 20 31 38 48 60 55 14 3 1 0 0 2 4 3 1 0 1 7 14 20 17 12 6 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 3 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5
54 43 33 36 52 61 69 81 95 98 75 37 12 2 0 0 0 0 0 0 0 0 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 5 5 5 5 5 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6
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