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 6 8 10 12 12 11 11 11 11 11 12 12 13 14 14 14 13 13 13 12 11 9 8 7 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 11 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 13 14 15 15 15 15 14 13 11 10 8 7 6 6 6 6 6 6 6 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 8 10 11 12 11 11 11 11 12 12 12 13 13 14 14 13 11 10 9 9 9 8 8 7 7 7 8 10 10 10 10 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 13 14 15 15 15 14 13 11 10 9 7 6 5 4 4 5 5 5 5 6 7 8 8 8 8 7 7 8 8 8 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 nan
nan 11 11 11 12 11 11 11 12 12 12 11 11 11 11 11 11 10 8 7 7 8 9 9 8 6 5 7 9 10 10 10 10 10 9 8 8 8 8 9 10 10 10 9 9 8 8 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 12 13 14 14 14 13 12 11 10 9 8 7 6 5 5 5 5 5 6 6 7 7 7 8 8 8 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 nan
nan 11 11 11 10 11 12 12 12 11 10 9 8 7 8 9 8 8 7 7 8 9 9 8 8 7 7 9 12 12 11 11 11 10 9 8 7 8 8 9 9 10 10 10 9 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 11 11 12 13 13 13 12 11 10 9 8 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 nan
nan 9 9 9 9 10 11 11 10 8 6 5 5 5 6 7 7 8 9 9 10 10 10 10 11 11 13 15 15 15 13 13 12 11 10 9 9 9 9 10 10 11 11 10 9 8 8 8 9 9 10 9 8 7 7 7 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 12 11 11 11 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 nan
nan 8 8 8 9 9 9 9 8 7 6 5 5 6 6 7 8 9 11 13 14 15 16 16 17 17 18 18 17 15 14 12 11 10 9 10 12 12 12 12 13 13 13 11 9 8 9 10 11 11 10 9 8 7 7 8 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 10 9 8 6 5 5 5 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 7 nan
nan 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 10 12 15 17 20 21 21 20 19 19 18 16 14 12 10 9 8 9 11 12 13 13 13 14 14 14 11 9 9 10 11 12 11 10 9 8 8 8 9 9 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 12 11 10 7 5 5 5 6 7 7 7 8 8 9 10 11 11 10 9 8 8 7 7 8 8 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 7 0 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 11 12 13 15 17 18 18 17 15 14 13 12 11 10 8 7 8 9 10 10 11 11 12 12 13 12 10 9 9 10 10 11 10 9 8 8 9 9 10 11 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 10 8 6 5 5 7 8 8 8 7 7 7 8 10 11 11 11 10 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 2 -4 nan
nan 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 12 12 11 10 10 9 9 9 8 8 8 8 8 9 8 8 8 9 9 9 9 7 7 8 8 9 8 8 7 8 8 9 10 11 12 12 12 11 11 11 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 11 11 12 12 11 10 8 7 6 8 9 8 8 7 6 5 5 5 6 8 9 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 6 2 -1 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 10 11 11 12 12 12 11 11 11 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 12 13 12 12 10 8 7 8 8 8 7 7 6 5 4 3 2 3 5 8 11 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 9 8 6 5 5 nan
nan 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 11 12 12 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 12 13 13 12 10 8 7 7 7 7 7 6 5 4 3 2 1 0 1 3 7 11 12 12 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 9 8 8 8 9 nan
nan 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 11 12 12 13 12 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 12 13 12 12 10 9 7 7 7 7 7 6 5 4 3 3 2 1 0 1 4 8 12 13 11 10 9 10 10 10 10 9 10 10 10 10 10 9 9 9 9 10 9 9 9 10 9 9 9 8 8 nan
nan 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 12 13 13 14 13 13 12 12 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 12 12 11 9 8 7 7 7 7 7 6 4 4 3 3 2 1 0 2 6 10 13 12 11 10 10 10 10 9 10 10 10 10 10 10 9 9 9 10 9 8 8 8 9 10 10 9 7 6 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 12 12 13 13 14 14 14 13 13 12 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 11 12 12 12 12 10 9 7 7 7 8 7 7 6 4 4 4 4 3 2 1 1 4 8 12 13 12 11 11 10 10 9 10 10 10 10 10 9 9 8 8 9 8 7 7 8 9 9 9 8 6 7 nan
nan 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 12 13 13 13 13 13 13 13 13 13 12 12 11 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 13 13 13 11 10 8 7 7 7 7 7 7 6 5 4 4 4 4 3 2 2 3 7 11 13 14 12 11 10 10 9 10 11 11 10 9 9 8 8 8 8 7 7 7 8 8 7 7 7 8 9 nan
nan 10 10 10 9 9 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 7 6 6 7 7 8 9 10 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 11 10 9 8 8 8 8 8 8 8 8 9 10 10 9 10 10 10 9 9 9 9 9 9 10 10 11 12 13 14 13 12 10 9 7 7 7 6 7 6 6 5 4 4 4 4 4 3 2 3 5 9 13 14 12 11 10 9 9 10 11 11 10 9 9 9 9 9 9 8 8 8 8 7 7 8 9 11 11 nan
nan 11 11 11 10 9 8 7 7 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 7 7 7 7 8 9 10 11 12 12 13 13 14 14 13 13 12 12 11 11 11 12 12 11 10 9 8 8 8 9 9 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 13 13 14 14 14 12 10 8 7 7 7 7 7 6 5 5 4 4 4 5 4 3 3 4 8 13 14 12 11 10 9 10 10 11 11 10 10 9 9 9 9 9 9 9 8 7 7 8 10 11 11 10 nan
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nan 11 10 10 9 8 7 6 6 7 8 8 8 8 8 9 9 9 9 9 8 7 7 6 6 6 6 7 8 8 9 9 9 10 11 11 12 13 13 14 14 14 14 13 12 11 10 9 9 9 9 10 11 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 9 9 9 10 10 10 10 11 12 13 14 15 14 12 11 9 9 9 9 9 8 7 5 5 4 4 4 4 4 4 5 11 16 16 15 11 9 10 11 11 11 11 11 11 10 10 9 10 9 9 8 8 8 9 10 11 10 9 10 nan
nan 10 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 9 9 9 10 10 11 11 12 12 13 13 14 14 14 14 13 11 10 8 7 7 7 8 8 9 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 11 12 13 15 14 13 12 11 9 9 9 9 8 7 6 6 5 5 4 4 4 5 8 13 16 16 14 10 9 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 nan
nan 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 11 10 9 8 7 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 11 13 15 15 14 13 12 11 11 10 10 8 7 6 6 6 5 5 5 5 7 11 15 16 15 12 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 9 9 9 nan
nan 8 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 9 8 7 7 7 7 8 8 9 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 9 9 10 10 10 10 10 10 9 8 8 8 9 9 9 9 11 13 14 15 15 13 11 11 12 12 11 9 7 7 6 6 5 5 5 6 9 12 15 14 13 11 11 11 11 10 10 9 9 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 10 11 11 11 11 10 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 10 12 14 15 14 13 11 11 11 12 12 10 8 7 7 6 5 5 5 7 9 12 13 12 10 10 11 11 11 11 10 10 9 9 10 10 10 10 10 10 9 9 8 8 9 8 8 8 8 7 nan
nan 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 8 8 8 8 8 8 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 8 10 11 12 12 13 12 11 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 9 10 9 9 9 9 9 8 8 8 9 9 8 8 9 9 9 10 13 14 14 13 12 12 12 12 11 10 9 8 7 6 5 5 5 7 9 10 10 9 8 9 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 5 nan
nan 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 6 7 8 10 11 12 13 14 14 13 12 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 13 14 14 14 14 13 13 12 10 9 8 7 6 5 5 5 6 8 8 8 8 8 9 9 9 10 11 11 11 11 11 11 10 9 9 8 9 9 9 9 7 5 4 4 5 5 4 nan
nan 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 6 7 9 10 12 13 14 14 14 14 13 11 10 10 10 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 9 9 10 10 9 9 9 9 9 10 10 10 8 8 9 11 13 15 16 16 16 15 14 11 9 8 7 6 5 5 5 6 7 7 8 8 8 9 9 9 9 10 10 10 11 11 11 10 10 8 8 9 10 10 9 6 3 2 2 3 4 5 nan
nan 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 7 8 10 11 13 14 15 15 14 13 12 12 11 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 9 9 9 10 10 11 10 10 9 9 9 9 10 10 9 8 7 8 10 12 16 18 19 20 19 16 13 10 8 6 6 5 5 5 6 6 7 8 8 9 8 8 8 8 8 8 9 10 11 11 11 10 9 8 10 11 11 10 7 5 5 5 6 6 7 nan
nan 6 6 7 8 9 9 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 6 5 5 5 5 5 5 5 5 6 6 8 9 11 12 14 15 15 14 13 13 12 11 11 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 8 9 10 12 16 20 21 22 21 19 15 11 8 6 6 5 5 6 6 7 7 8 8 8 8 8 8 7 5 5 7 9 11 11 11 10 10 10 11 12 12 12 10 11 11 12 11 10 9 nan
nan 5 6 7 8 9 10 10 9 9 8 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 9 11 12 14 14 15 14 13 13 12 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 13 14 17 20 22 22 22 19 16 12 9 7 6 6 6 6 7 7 7 8 9 8 8 7 7 5 4 5 8 10 12 12 11 11 12 12 12 12 12 12 12 14 15 16 14 12 9 nan
nan 5 5 7 9 10 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 6 5 5 5 5 5 6 7 9 10 12 14 15 15 14 13 13 12 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 10 11 10 10 9 9 9 10 11 11 11 10 10 10 10 11 11 11 12 13 14 14 14 15 16 18 20 21 21 21 19 16 12 9 7 6 5 6 6 7 7 7 8 9 9 8 8 6 5 5 7 9 11 13 13 13 12 13 12 11 10 10 10 12 14 15 15 15 13 12 nan
nan 5 6 8 10 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 6 8 10 12 14 15 15 14 13 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 9 9 9 10 11 11 11 10 10 10 11 12 13 13 15 15 15 15 16 16 17 18 19 19 18 17 15 13 9 6 5 5 5 6 7 7 7 8 8 9 8 8 7 6 7 8 9 12 14 14 13 12 11 10 9 8 8 9 11 13 14 14 14 15 15 nan
nan 6 8 9 10 10 9 8 7 6 6 6 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 5 5 6 7 9 11 13 14 15 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 9 10 11 11 10 10 10 11 12 13 13 13 14 14 13 13 13 13 14 15 15 16 16 16 15 14 10 7 6 5 6 6 7 8 8 8 9 9 8 7 7 7 7 8 10 13 14 13 11 10 9 9 8 8 9 10 12 13 13 13 13 13 13 nan
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nan 8 8 9 9 9 8 7 7 6 6 6 6 7 7 7 6 6 6 7 8 8 8 6 6 6 7 8 10 13 14 15 15 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 13 13 13 12 11 9 8 7 7 7 8 9 10 11 11 12 14 16 16 15 13 11 9 8 8 9 10 11 12 13 11 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 6 nan
nan 7 8 8 8 8 8 8 7 6 6 7 7 7 7 6 6 6 6 6 7 7 7 6 7 8 10 12 14 15 15 14 12 11 10 9 10 10 10 10 10 10 10 9 9 8 8 9 10 10 11 10 10 9 8 8 8 9 10 10 10 10 10 11 11 10 10 9 9 10 10 11 11 12 12 12 13 13 13 13 12 11 9 8 7 7 7 7 8 9 10 10 10 11 13 15 16 15 14 13 11 10 9 9 9 10 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 7 4 nan
nan 7 8 8 9 9 9 8 8 7 7 7 7 6 5 4 4 5 6 6 6 7 7 8 10 12 14 15 15 14 13 12 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 9 10 11 11 10 9 8 8 9 10 10 11 10 10 11 12 12 11 10 9 9 10 11 11 12 12 12 12 12 12 12 12 11 10 9 8 8 7 7 8 8 9 9 9 9 10 12 14 14 14 13 12 10 9 8 7 7 7 9 10 10 10 10 9 8 7 7 8 9 9 9 8 8 9 10 11 11 11 11 11 10 9 8 7 6 4 nan
nan 8 8 9 9 9 8 7 7 7 6 6 6 5 4 3 4 5 7 7 8 9 10 12 14 15 15 15 14 13 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 10 11 11 11 10 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 9 11 12 12 11 8 6 6 5 5 5 6 7 8 8 9 8 7 5 4 6 8 10 10 9 8 9 10 11 11 11 11 11 10 9 8 7 7 6 4 nan
nan 9 9 9 9 8 7 6 6 6 6 5 5 5 5 5 6 8 10 12 13 14 15 16 16 16 15 14 13 11 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 10 10 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 7 8 9 11 11 9 6 3 2 3 4 4 5 6 7 7 7 6 3 2 4 7 11 13 12 10 10 11 12 12 12 12 11 11 10 9 8 8 8 6 5 nan
nan 10 9 8 7 6 5 5 5 6 6 7 7 8 9 11 12 14 15 17 18 18 18 17 16 15 13 12 11 10 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 12 12 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 10 9 8 7 7 8 9 7 5 2 2 3 4 5 5 6 6 7 7 5 4 4 6 11 14 14 12 12 12 13 13 13 13 12 11 10 9 8 8 8 7 5 4 nan
nan 9 8 8 6 4 3 3 4 6 8 9 10 12 14 16 18 19 19 19 19 18 17 15 14 13 12 11 10 10 9 9 9 9 9 10 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 10 11 13 13 13 11 10 10 10 10 9 9 8 8 9 9 9 10 10 9 9 9 8 8 8 9 10 10 10 9 7 6 6 6 5 3 3 4 5 6 7 6 7 7 8 8 7 7 8 10 13 13 12 11 12 12 13 13 13 12 11 10 9 8 7 6 5 3 2 1 nan
nan 8 8 7 6 4 3 3 4 7 10 13 15 17 18 19 20 20 19 18 17 16 15 13 12 11 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 9 9 9 9 10 9 9 10 12 13 14 13 12 10 10 10 10 9 8 8 8 9 9 9 9 10 9 9 9 8 8 8 9 10 10 10 10 8 6 4 3 2 2 3 6 8 9 9 8 8 9 9 9 8 9 11 13 13 12 11 11 11 12 12 11 11 10 10 9 7 5 4 3 3 2 2 3 nan
nan 8 8 7 5 4 3 4 7 11 15 17 19 20 20 20 19 18 17 16 15 14 13 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 13 13 13 12 11 10 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 8 6 4 3 2 2 5 9 11 12 10 9 9 10 10 9 8 9 12 14 13 12 12 12 12 12 12 11 10 8 7 5 3 2 2 3 4 5 7 9 nan
nan 9 8 7 5 4 5 8 12 15 18 20 21 21 20 18 17 16 15 14 13 12 11 10 9 9 9 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 10 10 9 9 9 9 9 9 8 8 9 10 11 11 11 12 12 11 11 11 10 10 9 9 9 8 8 9 9 9 9 8 8 8 8 9 9 9 10 9 9 7 6 5 4 4 6 9 12 15 15 12 11 10 10 9 9 8 9 12 13 13 13 13 13 13 12 12 10 7 5 2 1 1 2 4 6 9 12 13 14 nan
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nan 10 10 9 9 9 10 11 11 12 11 10 10 11 12 12 13 13 13 12 12 12 11 11 11 11 11 12 12 12 11 10 9 9 9 10 10 10 11 11 11 11 10 9 9 10 10 10 10 11 10 8 7 5 4 4 5 8 11 15 18 20 18 16 14 13 13 12 10 8 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 8 7 7 5 4 3 3 3 3 4 6 9 10 11 11 11 11 12 14 14 15 15 14 14 14 15 15 13 11 9 11 16 22 27 25 18 13 10 10 10 11 11 10 10 10 10 10 nan
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nan 9 9 9 9 9 9 10 11 11 10 10 11 11 12 13 13 13 13 13 13 13 13 12 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 9 8 8 8 9 10 10 10 9 9 8 7 5 4 3 4 5 8 12 15 17 18 16 13 10 7 4 3 3 3 3 3 4 4 5 6 7 8 8 6 6 6 7 8 9 10 10 10 10 9 9 8 9 9 9 9 9 9 10 11 13 14 15 17 17 17 16 15 14 13 13 14 17 21 23 25 22 16 12 10 9 9 10 10 10 10 10 9 10 10 nan
nan 9 9 8 9 9 10 10 11 11 11 11 11 12 12 13 13 13 13 13 14 14 14 13 12 11 10 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 11 10 9 8 7 8 9 9 10 11 11 10 9 7 5 4 4 4 6 8 11 13 14 12 10 9 7 5 4 4 4 4 4 4 5 6 7 8 9 9 8 6 6 6 7 9 10 10 10 8 7 6 6 8 9 9 9 9 10 10 12 13 15 16 17 17 16 15 14 12 11 12 14 17 20 22 22 18 14 11 10 9 9 9 10 10 10 10 10 10 10 nan
nan 8 8 8 8 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 13 14 15 14 13 12 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 10 9 8 8 9 10 11 12 13 13 12 10 8 6 6 5 5 6 7 9 10 9 9 8 7 6 5 5 4 4 5 5 6 6 7 8 9 9 9 9 8 8 7 7 7 6 4 2 1 2 5 7 9 9 9 9 10 10 12 13 15 16 17 16 16 15 14 12 11 12 14 18 21 22 21 17 14 11 10 9 10 10 10 10 10 10 10 10 10 nan
nan 9 8 8 8 9 10 11 11 12 12 12 11 12 12 11 11 11 11 11 12 13 14 14 13 12 11 11 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 10 11 12 13 15 16 16 16 15 12 10 8 8 7 7 7 7 8 8 9 8 7 6 6 5 5 5 5 6 6 6 7 8 8 9 10 11 11 11 9 7 4 2 -0 -1 -0 3 6 8 9 8 8 9 10 10 12 14 15 16 17 17 16 16 15 12 11 12 15 20 22 22 20 16 13 11 10 10 10 10 10 11 11 10 10 10 10 nan
nan 9 9 9 9 9 10 11 11 12 11 11 11 12 11 11 11 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 11 11 11 10 11 11 12 13 14 15 16 17 18 18 17 15 14 13 12 11 10 9 9 9 9 10 9 9 8 8 7 7 6 6 6 6 6 7 7 8 9 11 12 13 14 13 11 8 5 4 4 6 8 9 8 8 8 8 9 9 10 12 14 15 16 17 17 18 18 16 13 11 11 15 20 21 20 17 14 11 10 10 10 10 10 10 11 11 11 11 10 10 nan
nan 9 9 9 9 10 11 11 11 11 11 11 12 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 11 11 10 10 10 11 12 13 14 14 14 14 15 15 16 16 16 15 15 15 14 13 13 12 12 11 11 11 11 11 12 12 11 10 9 8 8 8 8 9 10 11 13 14 15 16 16 16 15 14 13 12 12 11 10 8 7 7 8 9 9 10 12 14 15 16 17 18 20 20 16 13 10 10 14 17 18 17 15 12 11 10 10 10 10 10 10 10 11 11 10 10 10 nan
nan 10 9 9 9 10 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 9 10 10 12 13 14 14 13 12 11 10 10 9 10 10 10 10 11 11 12 13 13 12 11 11 11 12 13 14 14 14 14 15 15 15 15 14 14 13 12 12 13 15 16 17 16 15 14 13 12 11 12 13 14 15 16 16 16 15 16 16 16 17 17 16 14 11 9 7 6 7 8 9 10 10 12 14 15 16 17 19 20 20 16 12 9 9 12 13 14 14 12 12 11 11 11 11 10 10 10 10 10 11 10 10 10 nan
nan 10 9 9 10 10 11 11 11 11 12 12 13 13 13 12 12 11 11 10 10 9 9 8 7 7 7 8 9 9 10 11 12 13 13 13 12 11 10 10 9 9 9 10 10 11 11 12 12 12 11 11 9 9 11 12 13 13 13 13 14 15 15 15 15 14 14 14 15 16 17 19 19 19 19 19 18 16 16 16 16 17 16 16 14 13 12 12 13 14 16 16 15 13 10 8 6 6 7 8 9 10 11 12 13 15 17 19 20 21 19 16 12 9 8 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 10 10 9 9 9 9 8 8 9 9 10 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 13 13 14 14 14 14 14 14 15 17 18 18 18 18 19 19 19 18 17 16 16 15 14 13 11 9 8 9 11 14 15 15 13 11 9 7 6 7 7 8 10 10 10 11 13 15 18 20 21 21 18 15 12 10 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 9 9 10 10 10 10 11 11 11 12 12 12 12 13 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 15 15 15 15 14 13 11 11 11 10 9 7 6 8 11 14 14 14 12 9 8 7 7 7 8 9 10 10 10 11 12 16 20 21 21 19 15 13 11 10 10 9 9 9 9 10 10 11 11 11 11 10 10 11 11 11 10 10 10 10 nan
nan 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 12 12 12 12 11 11 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 9 7 7 9 10 9 8 7 9 11 14 14 13 10 8 7 7 7 8 8 9 10 10 10 11 13 17 21 21 20 16 13 11 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 nan
nan 9 9 9 10 10 10 10 11 11 11 10 10 11 11 10 10 10 10 11 11 11 11 11 11 12 11 11 11 10 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 9 9 9 8 9 9 9 8 7 7 8 10 10 9 8 9 11 13 13 12 9 8 8 8 8 8 8 8 9 10 11 12 14 18 20 19 17 13 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 nan
nan 9 9 10 10 11 11 11 10 10 10 9 9 9 9 10 10 9 9 10 10 10 10 11 12 11 11 10 10 10 10 9 9 9 9 9 10 11 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 9 9 8 8 8 8 9 8 8 8 9 11 10 9 8 9 11 13 12 11 9 9 9 10 9 8 7 7 8 10 11 13 15 18 18 16 14 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 nan
nan 10 10 10 11 11 11 11 10 10 9 8 8 8 8 8 9 8 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 9 10 11 12 13 13 12 11 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 9 9 8 8 8 8 9 9 10 10 11 10 9 9 9 11 12 11 10 9 9 10 10 10 9 8 8 8 9 11 13 15 17 16 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 nan
nan 10 10 11 11 11 11 11 11 10 9 8 8 7 7 7 7 7 8 8 8 8 9 10 10 10 9 8 8 8 7 7 8 9 10 11 11 12 12 13 13 12 10 10 9 10 11 13 13 12 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 8 8 8 8 9 10 10 11 10 9 10 10 11 12 10 10 9 9 10 11 10 10 9 8 9 10 12 13 14 14 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 nan
nan 11 11 11 12 12 12 12 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 8 10 11 11 11 12 12 13 14 12 11 10 9 9 10 12 12 12 11 11 11 12 12 12 13 12 11 11 11 10 10 9 9 10 10 10 11 11 11 11 10 10 10 9 8 8 8 8 8 9 10 10 10 10 11 11 12 11 11 10 10 10 11 11 11 10 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 11 11 11 12 12 13 13 13 12 12 11 10 9 8 7 7 7 6 6 6 6 5 6 6 7 7 6 5 4 5 6 8 10 10 10 10 11 12 13 14 13 12 11 10 10 10 10 11 12 12 13 13 13 13 13 13 12 12 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 9 8 8 8 8 8 9 9 9 10 10 11 11 12 11 11 11 10 11 11 11 11 10 9 9 9 9 10 10 11 11 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 12 12 12 12 13 13 13 13 13 12 11 10 8 7 7 6 5 5 5 5 6 6 6 5 4 4 4 6 8 10 10 10 10 11 12 13 13 13 12 11 11 10 10 10 10 11 13 14 14 14 14 13 13 13 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 11 11 11 11 11 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 11 11 11 11 11 11 12 13 13 14 14 14 14 13 12 10 9 8 7 7 7 7 8 8 8 7 6 6 6 7 10 12 13 13 13 12 13 13 13 12 11 11 11 11 11 10 9 10 11 13 14 14 14 14 13 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 9 9 9 8 8 9 10 10 11 10 10 9 10 10 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 11 11 11 11 11 11 11 12 12 13 14 14 14 15 14 13 12 11 10 10 10 11 11 11 11 11 10 9 8 9 11 13 15 16 15 14 13 13 12 12 11 10 10 11 11 11 10 10 10 11 12 13 13 14 13 12 12 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 9 8 9 9 9 9 8 8 8 9 10 10 10 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 11 11 10 11 11 11 11 12 12 13 13 14 14 14 13 13 13 13 13 13 13 13 13 12 11 10 9 10 11 13 14 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 12 12 13 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 13 13 14 14 14 14 14 14 14 14 14 14 13 12 11 10 10 10 11 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 13 12 12 11 11 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 12 13 14 15 15 15 15 14 13 12 11 11 11 12 14 15 15 14 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 11 11 11 11 11 10 10 9 9 9 8 8 8 9 10 11 11 11 10 10 10 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 12 12 11 11 11 11 11 11 10 10 10 11 12 12 12 12 11 10 11 12 13 14 15 16 15 14 13 13 12 13 13 14 14 14 14 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 13 13 13 13 13 12 12 12 12 11 11 10 10 10 9 9 8 8 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 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 1 1 0 0 0 0 0 0 1 2 4 4 2 1 1 1 2 4 6 7 7 6 3 4 6 8 9 8 8 13 19 25 29 27 23 20 20 22 24 24 24 23 20 17 16 15 14 15 13 11 10 10 11 15 6 2 1 0 0 0 0 3 5 6 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 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 4 2 1 0 0 0 4 3 4 10 14 12 6 3 5 6 6 6 8 9 8 4 1 5 11 17 23 29 29 30 33 41 45 44 40 37 35 33 29 24 22 24 26 22 21 19 16 14 13 10 8 5 4 6 3 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 7 5 3 4 7 2 9 12 12 14 16 15 14 11 8 8 9 11 13 14 13 10 7 10 17 24 32 42 47 50 54 61 64 62 60 57 55 58 50 38 29 25 27 28 24 19 14 11 9 7 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 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 0 0 0 0 0 0 0 2 3 5 6 6 6 7 12 20 9 19 25 26 22 18 15 21 22 17 16 18 21 22 21 18 17 18 21 25 30 35 46 58 67 74 80 83 84 80 76 78 83 76 61 44 31 29 25 17 10 6 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 1 2
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 4 5 6 11 18 25 23 30 34 32 24 14 21 25 24 19 18 23 24 25 26 27 31 32 36 43 50 43 49 61 73 83 93 108 115 119 122 125 121 105 86 64 41 25 13 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 0 0 0 0 2 3
0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 2 3 7 13 20 22 25 28 26 20 13 20 25 24 19 13 16 16 21 30 39 40 41 51 60 55 47 53 67 86 109 135 147 148 150 154 150 136 112 88 64 40 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 7 11 14 18 27 31 23 19 16 16 17 15 11 22 22 24 30 37 40 44 52 59 61 54 67 92 120 139 142 156 166 170 170 166 151 118 79 44 21 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 0 0 0 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 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 2 1 0 0 0 1 4 7 10 14 20 21 14 10 6 9 18 31 42 46 46 44 42 41 42 53 64 69 63 65 88 122 153 171 182 184 181 177 173 169 145 103 57 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 0 0 0 1 2 2 2 1 0 0 0 1 2 3 5 9 13 15 14 11 10 19 33 46 58 57 56 59 64 67 61 69 81 90 91 93 106 136 172 202 207 196 184 174 168 155 116 68 30 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 0 0 0 0 0 0 0 0 0 0 0 4 13
4 3 3 3 3 2 2 2 3 3 3 2 2 3 3 3 3 3 2 1 0 1 2 2 2 1 3 4 4 4 4 3 4 4 5 7 10 13 20 34 45 50 61 65 73 83 92 93 93 96 99 102 104 103 107 136 174 196 191 180 169 160 149 120 86 52 25 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 26
4 4 4 4 4 4 4 4 5 5 6 7 9 9 8 7 5 7 6 4 3 4 5 3 2 3 4 5 6 5 4 5 8 11 12 13 16 26 47 52 53 62 79 96 108 112 111 115 111 109 107 105 100 98 103 128 160 176 172 158 141 126 111 81 55 33 17 5 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 29
4 4 5 5 6 7 7 7 8 9 10 11 11 12 11 10 11 11 10 9 8 8 6 5 5 6 8 10 13 17 19 18 22 30 36 40 45 52 61 62 63 73 88 100 109 120 130 124 122 124 125 119 102 96 98 116 143 161 152 135 118 100 78 53 34 19 8 1 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 2 3 4 4 4 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14
5 6 7 8 10 11 13 14 15 15 15 14 12 12 13 15 17 17 15 12 8 6 5 7 10 15 19 23 26 28 32 35 41 48 53 55 57 62 62 65 73 85 98 113 128 138 141 144 147 147 144 132 102 94 98 115 137 153 147 132 111 86 58 35 20 10 5 1 0 0 0 0 0 0 0 0 1 3 4 5 4 4 4 5 7 7 8 7 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 1 1 4
9 11 12 14 15 17 19 21 21 20 18 16 14 15 18 21 22 20 18 15 12 8 8 13 19 26 30 30 32 36 40 47 54 60 62 62 62 66 68 75 87 100 111 126 139 151 162 167 164 156 145 130 107 97 99 111 127 140 141 127 105 77 47 26 11 4 2 0 0 0 0 0 0 0 1 2 4 5 5 4 4 3 4 6 8 10 10 8 5 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 4 8
13 15 16 17 18 20 22 22 22 22 21 21 20 20 21 22 22 19 17 14 11 9 14 21 26 31 35 36 42 48 54 60 65 70 74 78 81 85 89 95 101 106 111 126 144 161 169 168 157 150 141 127 108 95 92 99 112 128 130 117 94 64 37 20 9 3 1 0 0 0 0 0 0 1 3 5 5 4 2 1 2 2 3 5 9 11 11 8 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 1 1 1 1 1 2 2 4 8 12
17 19 20 21 22 24 24 23 23 23 23 22 22 24 25 25 22 21 19 16 13 14 19 25 30 34 40 45 51 58 65 70 79 88 96 100 101 102 102 102 101 100 111 129 147 160 164 159 142 135 129 116 99 87 90 99 107 119 118 106 83 55 32 17 8 4 1 0 0 0 0 0 0 1 2 1 0 0 0 1 3 4 6 9 14 16 14 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 0 0 0 0 0 0 0 0 1 1 1 3 4 3 3 3 4 6 9 13
21 23 24 25 26 26 25 24 24 26 27 25 28 32 35 33 27 25 24 22 20 21 24 30 35 39 44 52 61 70 79 90 107 115 119 119 115 111 107 105 103 106 120 137 150 156 153 143 127 116 107 96 86 83 90 100 107 112 109 97 76 49 29 17 9 4 2 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 13 17 18 14 6 1 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 1 1 2 3 5 6 6 5 5 5 5 5 9 12
23 25 26 26 25 24 23 23 26 29 31 32 36 41 43 40 32 29 27 26 25 24 25 28 33 39 46 57 71 88 104 118 132 130 125 119 114 111 110 111 113 118 132 146 152 150 142 127 113 100 87 79 81 85 93 102 110 112 106 92 68 42 25 15 9 5 3 0 0 0 0 0 0 0 1 2 3 4 5 7 9 11 12 16 19 19 15 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 0 0 0 0 0 0 0 1 2 1 2 4 6 6 6 5 5 5 5 5 8 10
24 26 27 25 22 20 19 23 29 34 38 41 43 45 44 41 35 32 30 28 27 26 25 25 30 38 48 62 81 102 120 128 126 118 113 110 109 111 114 117 123 130 139 145 143 135 124 109 97 84 75 74 86 92 101 109 114 111 105 85 58 35 22 13 7 4 2 0 0 0 0 0 1 1 3 6 8 10 11 13 14 15 15 16 17 17 17 11 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 0 0 0 0 0 0 0 0 1 2 3 5 6 6 6 6 6 6 4 4 4
26 27 26 24 23 23 23 28 35 41 45 46 45 44 42 41 41 40 37 34 31 29 30 32 37 46 58 73 88 101 108 109 106 104 102 102 102 104 106 109 114 120 127 129 126 118 106 92 78 67 65 79 93 101 106 109 109 103 92 71 46 27 15 7 3 2 0 0 0 0 0 0 2 3 4 6 9 11 13 15 15 14 14 14 13 12 18 17 12 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 1 2 4 4 5 5 6 4 3 2 2 2
26 27 26 26 27 29 33 39 44 46 45 44 43 44 46 48 50 49 45 41 38 37 39 42 48 56 65 73 81 86 88 90 91 92 92 91 89 88 89 92 95 101 112 114 110 101 89 75 64 59 66 93 104 108 107 103 94 86 70 50 31 16 7 3 1 0 0 0 0 0 0 0 1 1 1 2 3 8 13 16 15 9 8 7 7 8 15 19 18 11 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 2 1 1 1 0 0 0 0 0
25 27 29 31 34 38 42 44 43 42 42 43 44 47 50 52 53 52 49 48 47 46 48 50 53 56 60 64 67 70 71 72 73 75 74 71 69 69 72 76 82 88 97 97 91 81 70 61 54 53 65 97 111 112 103 90 74 58 42 27 14 4 2 0 0 0 0 0 0 0 0 0 0 0 1 2 2 5 17 24 19 5 4 5 6 8 12 18 23 21 10 6 3 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
25 26 28 33 37 40 41 39 38 37 39 43 47 49 49 50 51 51 50 50 49 48 48 48 47 47 49 52 54 55 56 56 54 51 47 44 44 46 50 56 62 67 71 70 65 59 51 46 43 56 84 108 112 103 84 61 42 26 15 7 2 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 3 3 11 17 12 5 5 6 7 8 11 18 26 30 25 15 8 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
21 23 27 33 36 36 35 34 34 35 39 45 48 47 46 46 47 48 47 45 42 40 38 37 36 37 38 41 44 45 45 44 39 33 28 24 23 24 27 31 35 39 42 42 41 37 33 35 49 71 91 100 92 74 52 32 18 9 3 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 2 1 0 1 2 5 7 7 8 11 15 20 25 28 25 15 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
26 27 29 30 29 28 27 27 29 34 40 44 44 41 39 37 37 38 35 32 29 27 26 28 30 32 34 35 37 38 37 34 27 20 15 11 9 9 11 13 15 18 20 21 21 20 25 41 60 76 82 79 63 41 23 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 1 1 4 6 7 7 8 10 10 13 18 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
23 24 24 22 20 18 17 17 19 23 27 30 30 28 25 23 22 20 18 17 17 18 19 22 25 27 27 27 26 25 24 21 16 12 8 6 4 3 2 3 3 3 3 3 5 15 40 58 68 69 60 42 26 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 2 2 3 5 8 11 12 9 9 11 13 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
15 15 15 13 11 10 9 9 11 12 14 16 17 16 14 12 10 10 10 10 11 12 15 16 17 18 18 16 15 14 13 11 7 4 2 1 0 0 0 0 0 0 3 13 26 42 54 56 50 40 31 21 16 11 5 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 2 5 6 5 3 3 4 6 10 17 20 14 9 8 9 14 9 4 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 2
7 7 6 5 5 4 3 2 3 4 6 6 7 8 7 6 5 5 5 5 5 6 6 7 9 12 14 14 12 10 7 4 1 0 0 0 0 0 0 2 6 13 28 45 57 59 51 40 31 27 28 21 13 6 2 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 2 2 1 1 0 2 6 8 10 11 13 12 11 12 17 19 16 13 10 9 15 15 12 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 0 0 0 1 2
2 1 0 1 1 1 1 0 1 1 2 3 4 6 5 4 3 2 2 1 1 1 2 3 4 7 9 9 7 5 3 1 1 1 1 0 0 1 5 13 27 46 54 57 55 49 41 35 28 24 22 11 5 3 2 2 2 2 2 2 2 3 4 3 1 0 0 1 1 0 2 2 1 0 0 1 4 7 9 12 13 12 12 13 16 17 17 15 12 13 17 20 19 14 2 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3
0 0 0 0 0 0 0 0 1 1 1 2 3 5 5 4 2 1 0 0 0 1 1 1 3 4 4 4 2 1 1 2 4 6 5 4 5 10 20 35 53 68 60 51 44 40 38 35 28 20 12 6 3 3 3 3 3 3 3 4 6 8 8 6 3 0 0 1 0 0 1 1 1 0 1 1 2 4 6 9 12 14 15 15 16 17 18 19 19 20 23 25 26 22 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 1 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 1 3 2 2 0 0 0 0 0 0 0 0 0 1 1 2 2 4 6 8 11 11 11 12 16 28 43 56 63 61 49 38 31 28 28 27 21 13 7 4 4 4 4 4 3 4 5 7 9 9 9 7 3 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 12 11 11 15 18 21 24 25 27 29 31 30 25 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 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 1 1 0 0 0 0 0 0 0 0 0 0 1 3 6 9 13 16 18 16 17 21 27 36 50 59 61 54 44 33 24 19 16 18 18 14 9 6 5 5 5 5 4 5 6 8 10 10 9 7 4 1 0 0 0 0 0 1 1 3 4 3 2 2 4 6 9 11 13 14 16 18 19 21 23 24 26 28 29 29 23 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 4 3 2 2 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0
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