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 12 16 19 20 22 23 23 22 20 18 16 14 13 12 11 10 9 8 8 9 10 10 10 9 8 6 6 6 6 7 9 10 10 10 10 12 13 12 9 6 5 6 8 9 9 9 8 8 9 9 8 7 6 6 6 6 6 5 6 7 7 7 7 7 7 7 8 8 9 9 8 7 6 6 7 8 8 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 12 14 13 11 10 9 8 7 7 6 6 7 9 9 9 9 8 8 7 7 6 6 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 10 11 13 12 9 7 6 6 6 6 6 6 6 5 5 4 4 4 5 7 8 9 9 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 nan
nan 6 9 11 13 15 17 18 19 19 18 17 17 17 16 14 13 12 11 10 9 9 9 10 9 7 6 6 6 6 7 9 10 10 10 10 12 14 13 11 6 4 5 7 9 9 9 9 9 10 10 9 8 7 7 6 7 7 6 7 7 7 7 7 7 8 8 9 10 10 9 8 7 6 6 6 6 5 5 6 7 7 8 8 8 8 8 7 6 6 7 7 7 7 7 7 6 7 9 10 11 11 12 11 10 8 7 7 7 9 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 8 10 12 11 8 6 5 5 5 7 7 6 5 5 4 4 4 4 5 6 8 9 10 10 11 10 8 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 7 nan
nan 2 4 5 6 7 8 10 11 12 13 14 16 17 17 16 15 15 13 12 10 10 10 10 9 7 6 6 6 6 7 8 9 9 9 10 12 14 14 12 7 4 5 6 8 9 10 10 10 10 10 9 9 8 7 7 8 8 8 8 8 8 7 7 7 8 10 11 12 12 11 9 8 7 6 5 4 4 4 4 5 5 5 6 6 6 5 5 4 4 5 5 5 5 5 5 5 4 5 7 8 9 11 12 11 9 9 8 8 9 10 10 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 9 8 7 6 6 8 10 10 8 6 4 4 6 8 8 7 6 5 5 5 4 5 5 6 7 9 10 11 12 10 8 7 7 7 7 7 7 7 8 7 7 6 7 8 8 8 7 7 7 7 7 nan
nan 4 3 3 3 3 4 5 7 8 9 11 12 13 14 15 16 16 16 15 14 13 12 11 10 9 8 7 7 7 7 7 7 7 8 9 12 14 14 12 8 5 6 7 7 9 11 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 9 10 12 13 13 11 10 9 8 7 6 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 2 2 3 4 6 7 9 10 10 10 10 9 8 7 7 8 8 8 7 8 8 9 9 9 9 9 9 8 8 7 7 8 9 10 11 10 10 10 10 10 9 8 7 7 8 10 10 9 7 6 6 7 9 9 8 7 6 5 5 5 6 6 7 8 8 9 11 11 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 nan
nan 8 5 3 2 3 4 5 6 7 8 9 9 10 10 12 14 15 16 17 17 17 15 14 13 11 10 9 9 8 8 8 8 7 7 8 11 13 13 12 9 8 8 8 8 9 11 10 9 9 10 10 10 9 9 10 11 11 11 10 10 10 10 10 10 10 11 12 12 12 11 10 8 8 7 7 7 6 6 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 2 2 2 2 3 3 4 5 6 8 10 11 10 9 6 4 3 6 9 8 8 8 9 10 10 9 9 8 8 7 7 7 8 9 10 11 10 10 9 9 9 9 9 9 9 9 10 12 13 12 10 9 9 10 10 9 9 8 7 6 5 6 7 7 7 8 9 10 10 9 8 8 8 9 9 9 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 nan
nan 11 6 3 2 3 5 6 7 7 7 8 8 9 9 9 10 12 14 16 17 17 16 16 15 14 12 11 10 9 9 8 8 8 8 9 10 11 12 11 9 9 10 9 9 10 10 10 10 11 11 12 12 11 11 12 12 12 12 12 12 12 13 14 12 11 11 11 11 11 9 8 6 6 6 7 6 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 3 2 1 2 3 4 3 3 3 4 6 8 9 9 8 5 3 3 6 9 9 9 9 9 10 10 10 9 8 7 7 7 7 8 9 10 10 9 8 7 7 8 8 9 10 10 11 11 11 13 13 13 13 12 12 11 10 9 8 8 7 7 7 7 8 8 8 9 10 10 9 8 7 8 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 11 6 3 2 4 6 7 7 7 7 7 7 7 8 8 9 9 11 12 13 12 13 14 14 14 14 13 12 11 10 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 12 12 13 13 13 12 11 11 11 11 11 12 12 13 14 14 13 11 10 9 8 7 6 5 4 5 5 5 5 4 4 3 3 3 3 4 5 4 4 4 4 4 4 4 3 3 2 2 3 4 4 3 3 3 4 5 7 8 8 7 5 5 5 7 9 11 12 12 11 11 11 12 10 9 9 9 9 9 9 10 10 9 8 7 6 5 6 7 8 9 10 9 8 8 9 11 12 13 14 14 12 11 10 10 10 10 10 9 9 8 8 9 10 10 10 9 8 8 8 8 9 10 10 10 9 8 8 8 8 8 7 7 8 7 6 6 6 6 nan
nan 9 6 3 2 3 5 7 7 8 7 7 6 6 7 8 8 9 9 9 10 9 9 9 10 12 13 14 14 13 12 10 9 9 9 9 9 9 9 9 8 8 9 10 10 10 11 12 13 13 12 12 11 9 7 7 8 8 8 9 10 10 10 10 9 7 6 5 4 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 6 6 5 5 5 5 6 7 8 8 8 7 7 7 9 11 13 14 14 13 12 12 12 11 11 11 12 11 10 10 11 11 11 10 9 8 7 7 7 8 9 9 7 6 6 6 7 9 11 13 14 13 13 12 12 12 12 11 10 9 8 8 9 9 10 9 9 8 8 7 7 8 9 10 10 9 9 9 9 9 9 8 9 8 7 6 5 6 6 nan
nan 8 5 2 2 3 4 6 7 8 8 8 7 6 7 8 8 9 9 9 9 9 8 8 8 8 10 12 14 15 14 13 11 10 10 9 9 10 10 9 9 8 9 10 10 10 11 12 13 11 10 9 7 5 4 4 4 5 5 5 6 5 4 4 3 3 3 3 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 7 8 8 9 9 8 8 7 7 8 8 9 10 10 10 9 10 11 13 15 15 15 13 12 12 11 10 11 12 13 13 12 11 11 12 12 12 12 13 12 11 10 10 11 10 8 6 6 6 5 6 8 10 12 13 13 13 12 12 12 11 10 9 8 8 9 10 10 9 8 7 6 6 7 8 9 9 9 9 9 9 10 10 10 10 9 8 6 6 6 6 7 nan
nan 6 5 3 3 4 4 5 6 8 9 9 8 8 7 8 8 8 9 9 8 8 8 8 8 8 9 11 13 15 16 16 14 12 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 8 7 6 5 4 4 5 5 4 4 3 2 2 2 2 3 3 3 3 3 4 4 5 6 6 6 7 7 7 7 7 7 6 6 5 5 6 7 8 9 9 9 9 9 10 11 11 12 12 11 10 9 9 9 9 10 10 10 10 10 11 13 14 15 15 14 13 12 11 10 9 9 10 12 12 12 12 12 12 13 12 12 13 14 15 14 14 14 13 10 8 7 6 5 5 6 8 9 11 11 12 13 14 13 12 11 10 10 9 9 10 10 9 8 7 5 5 6 7 8 8 8 7 8 9 11 12 12 11 9 7 6 7 7 7 8 nan
nan 6 5 5 5 5 5 5 6 8 9 9 9 8 8 8 8 8 8 8 8 7 8 9 10 10 11 13 14 16 18 18 17 14 11 11 11 11 11 11 11 11 12 11 10 8 8 8 9 9 8 7 7 6 7 8 8 7 6 5 4 4 4 4 5 5 4 4 4 4 5 6 7 8 8 8 7 7 7 7 7 7 6 6 6 7 9 11 12 13 13 12 12 12 12 13 13 13 13 12 11 11 10 10 10 11 11 11 11 11 12 14 14 14 13 12 12 12 10 9 8 7 8 9 10 11 12 12 12 12 12 11 11 12 13 15 15 15 13 11 9 8 7 6 6 6 7 8 9 11 13 15 15 14 13 12 12 12 12 11 10 9 8 8 6 5 5 5 6 6 6 7 7 7 8 9 11 12 12 9 7 7 8 8 8 8 nan
nan 6 6 6 6 6 5 6 7 8 8 9 9 9 8 8 7 8 8 8 8 8 9 11 12 13 14 15 16 17 18 19 18 16 13 12 12 11 10 9 9 9 10 10 9 8 7 7 8 8 9 8 8 8 10 10 10 9 8 7 6 7 7 7 7 6 5 5 5 6 8 9 10 10 9 8 8 7 7 7 7 7 6 6 7 8 11 13 14 15 14 13 13 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 13 13 12 11 10 11 11 9 8 8 8 8 8 9 11 12 12 12 12 11 10 10 11 11 13 14 14 13 11 10 8 8 7 7 7 7 7 8 10 14 16 15 14 14 14 15 15 14 12 10 8 7 7 6 6 5 5 5 5 6 7 8 7 7 8 10 11 11 10 9 9 9 9 8 7 nan
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nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 13 15 15 15 14 13 12 11 11 11 12 13 13 14 15 16 16 15 12 9 8 7 7 7 7 7 9 10 13 17 19 19 18 16 14 12 11 10 9 10 10 11 10 10 10 11 11 10 8 7 7 8 9 10 10 10 10 10 10 10 11 12 13 13 11 7 4 2 4 7 9 10 10 11 11 12 12 12 13 13 13 12 11 10 10 10 11 11 11 11 11 12 12 13 12 10 9 8 8 10 12 12 12 12 11 11 11 11 12 12 13 13 14 13 11 11 11 11 11 10 9 8 8 9 10 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 13 13 13 11 10 9 9 9 10 10 9 8 8 7 6 7 8 8 9 9 9 9 10 11 nan
nan 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 12 13 14 14 13 12 11 10 10 10 11 12 13 14 14 16 17 18 17 16 14 11 9 8 8 8 10 12 14 16 18 20 20 20 19 16 14 12 11 9 9 10 11 11 11 10 10 9 9 8 7 8 9 9 10 9 9 9 9 8 8 8 8 9 11 12 10 7 4 3 5 7 8 9 10 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 11 12 12 11 10 8 7 8 9 10 11 11 12 12 11 12 12 12 12 12 13 13 13 12 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 11 12 12 11 10 10 11 11 11 10 9 8 7 7 8 9 9 9 8 8 8 8 10 nan
nan 9 9 8 8 8 8 8 8 9 9 9 10 10 10 9 9 10 11 12 12 13 13 12 10 10 10 10 11 11 13 13 14 15 16 17 18 18 17 16 14 13 11 11 11 11 13 14 15 16 16 17 17 17 16 14 12 11 11 10 11 12 12 12 11 10 9 9 9 9 10 10 10 10 10 9 8 7 6 6 6 6 5 6 8 8 7 4 2 2 4 6 7 9 10 11 11 11 11 11 12 12 11 10 10 10 10 10 9 9 10 11 12 12 11 10 8 8 8 9 10 10 10 10 11 11 11 12 12 11 11 11 12 13 12 11 10 9 9 10 10 10 9 9 9 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 11 11 11 12 12 13 12 11 10 10 9 8 8 9 9 9 8 7 7 7 6 7 nan
nan 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 11 12 12 13 13 12 11 10 10 10 11 12 13 14 15 15 15 16 17 17 17 16 15 15 15 14 12 11 11 12 12 12 12 13 14 14 14 14 14 13 13 13 13 14 14 14 12 11 10 10 10 10 10 10 10 10 10 9 7 6 5 6 7 7 5 3 4 5 6 5 3 2 2 4 5 7 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 11 12 12 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 10 9 8 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 9 8 8 7 7 7 8 8 9 9 10 10 10 11 12 13 12 11 10 9 9 9 9 10 9 8 8 8 8 7 7 6 nan
nan 8 9 9 10 10 10 10 11 11 11 12 12 12 11 10 10 10 10 11 12 13 13 12 12 12 11 11 12 12 13 14 14 14 14 14 15 15 15 15 14 15 16 14 12 11 10 10 10 10 10 11 12 13 13 14 15 15 15 14 14 15 15 14 13 12 11 11 10 10 10 10 10 10 10 9 8 6 5 5 7 8 7 6 5 6 6 6 6 4 3 3 4 5 6 7 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 11 9 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 9 10 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 10 10 9 8 7 7 7 8 8 9 9 9 10 10 11 11 11 10 8 9 10 10 10 10 9 8 7 8 9 10 9 9 nan
nan 8 8 8 9 9 10 10 11 11 12 12 13 12 12 11 10 9 10 11 12 12 12 12 12 13 13 13 12 13 14 15 15 14 13 13 13 13 13 13 14 14 14 14 12 10 10 9 9 8 9 10 11 11 12 12 13 13 14 14 13 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 9 7 6 7 8 8 8 7 7 7 8 8 7 6 5 4 3 4 5 6 8 9 9 9 9 9 9 9 8 8 9 9 10 10 11 12 10 8 7 7 7 8 8 8 7 7 7 7 7 7 8 7 7 7 7 8 9 10 10 10 9 8 8 8 8 7 7 7 8 8 8 8 9 9 10 11 12 11 11 10 9 8 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 10 8 7 7 8 10 12 13 12 nan
nan 8 8 8 8 8 9 10 10 11 11 12 12 12 12 11 9 9 9 11 12 12 12 12 12 12 12 12 13 14 15 15 15 14 13 12 12 12 12 12 13 13 14 13 12 11 11 10 8 7 8 9 10 10 10 11 11 11 12 12 12 11 10 10 11 12 13 14 14 14 13 12 11 11 12 12 12 11 10 8 8 7 7 8 8 8 8 8 8 8 8 7 6 5 4 4 5 6 8 9 9 8 8 8 8 8 8 8 9 9 10 11 12 11 9 8 8 8 7 8 8 8 7 7 7 7 7 8 7 7 7 7 6 7 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 9 11 13 14 13 nan
nan 9 9 8 8 8 9 9 10 10 10 11 11 11 11 10 9 9 9 10 11 12 12 12 13 12 12 11 12 13 14 14 14 13 13 12 12 11 11 11 12 13 14 14 13 13 12 11 9 9 9 9 9 10 11 12 12 12 12 12 11 11 11 11 12 13 14 15 15 14 14 13 12 12 11 11 11 11 11 10 9 8 7 8 8 8 9 9 9 9 9 9 8 7 6 4 4 6 8 9 9 8 7 7 7 8 8 8 8 9 10 11 12 12 12 11 10 9 9 9 10 10 10 9 9 9 9 9 9 9 8 7 6 7 8 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 12 13 13 12 nan
nan 10 10 9 8 7 8 8 9 10 10 10 10 10 11 10 9 9 9 10 10 11 12 12 12 12 11 11 11 11 12 13 13 13 12 12 11 10 10 11 11 12 13 14 15 15 14 13 11 11 11 11 11 11 12 13 13 13 12 12 11 11 10 10 12 13 14 13 12 12 11 10 10 9 9 8 7 8 8 9 9 8 8 8 8 9 8 8 9 9 9 9 9 8 7 5 4 5 7 10 10 9 8 7 7 8 8 8 8 8 9 10 12 13 13 14 13 12 11 12 13 13 12 12 11 11 11 11 11 11 11 9 8 8 9 10 11 12 12 11 11 11 11 12 12 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 11 11 12 12 12 11 nan
nan 10 10 9 9 8 7 7 8 9 9 9 9 10 10 9 9 9 10 10 10 11 11 11 12 12 11 11 10 10 11 11 12 12 12 11 10 10 10 10 11 11 12 13 14 15 15 14 12 12 12 12 12 12 12 12 12 12 12 11 10 9 8 8 9 10 11 11 9 8 7 6 6 7 7 6 5 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 4 5 7 9 10 10 9 8 8 8 9 8 8 7 7 8 10 12 13 13 14 13 13 13 14 15 15 14 13 12 12 13 13 14 13 11 10 10 11 12 12 13 13 12 11 11 11 12 14 14 12 11 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 9 9 9 9 9 9 10 9 9 9 8 8 8 9 11 12 13 12 12 11 nan
nan 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 9 10 10 12 13 14 14 13 12 12 11 11 11 12 12 11 11 11 10 10 10 8 6 5 6 7 8 8 7 5 4 4 5 6 6 6 5 5 5 7 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 6 4 5 7 9 10 9 8 7 6 8 9 10 9 7 6 6 8 10 11 12 12 12 12 13 13 14 15 14 13 12 12 12 13 14 13 11 11 11 11 11 11 12 13 13 11 10 9 11 14 15 14 12 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 11 12 13 12 11 nan
nan 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 11 11 10 10 10 11 11 10 10 9 9 9 9 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 6 5 3 3 4 6 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 9 8 8 8 8 7 6 4 4 6 9 11 11 9 6 5 6 8 10 11 10 8 6 7 8 10 11 11 11 11 11 12 13 13 13 12 10 9 10 11 11 11 10 10 10 10 8 8 9 11 12 11 9 8 10 12 14 14 13 11 10 9 9 9 9 10 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 8 9 9 10 11 11 10 9 8 8 10 11 12 12 11 nan
nan 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 10 10 10 10 10 10 9 9 8 9 10 11 11 11 11 11 11 10 9 9 9 9 9 8 8 8 9 9 9 10 10 9 8 6 5 6 7 6 6 5 6 8 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 5 5 7 9 12 12 12 10 9 8 8 10 12 12 11 9 8 8 9 10 10 10 9 10 11 11 12 12 11 10 8 8 8 9 10 9 9 9 9 7 6 7 9 10 10 9 9 9 10 12 13 14 13 11 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 9 9 9 9 10 11 12 11 10 9 8 9 10 11 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 11 12 12 13 12 12 11 11 10 10 10 9 8 8 8 9 10 11 12 11 11 11 11 10 8 8 7 7 7 7 7 7 7 8 8 9 9 8 6 4 3 4 7 8 8 8 8 10 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 10 11 12 12 11 10 9 9 10 11 11 10 9 9 9 10 9 9 9 9 10 11 11 11 11 11 9 7 7 8 10 10 9 9 8 6 6 7 8 9 8 8 8 9 9 10 12 14 14 12 10 9 8 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 9 10 11 11 10 9 8 8 9 10 11 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 12 11 11 11 11 10 9 9 8 7 7 8 10 11 12 12 12 12 12 10 8 7 7 7 7 7 7 7 7 7 8 8 8 7 5 3 3 4 7 8 8 8 7 8 9 11 12 13 13 12 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 10 7 6 7 10 11 10 9 8 6 6 7 8 8 7 6 7 7 8 9 11 12 13 13 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 9 8 7 7 7 8 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 9 10 11 12 13 13 12 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 7 8 9 8 6 6 6 8 9 11 13 14 15 13 12 12 11 11 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 10 11 12 13 13 11 8 5 6 10 11 12 10 8 7 8 9 9 8 7 5 5 6 7 7 8 10 11 12 11 10 9 8 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 8 7 6 6 6 8 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 11 12 13 13 11 9 9 9 9 10 9 10 10 10 10 10 10 10 11 12 12 10 9 9 9 9 8 7 7 7 8 8 9 11 12 13 12 11 11 11 12 12 12 10 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 13 14 13 9 6 6 8 11 12 11 9 8 9 10 10 10 8 6 6 6 6 6 7 8 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 7 6 6 7 nan
nan 9 9 9 8 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 12 13 12 11 9 9 9 10 10 10 11 11 11 11 11 10 10 12 14 14 13 11 9 8 8 9 9 9 9 9 8 8 8 9 8 8 8 9 9 10 11 11 10 10 10 10 9 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 9 11 13 13 11 7 6 7 9 11 10 8 8 9 10 11 12 11 9 8 7 6 6 6 7 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 8 7 7 6 nan
nan 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 10 10 11 11 10 10 10 10 10 10 10 10 10 11 12 12 11 10 10 10 10 10 10 11 11 11 10 10 10 10 12 13 15 15 14 11 10 10 10 10 11 11 11 10 9 8 7 7 6 6 6 6 7 8 10 11 11 11 10 9 7 7 8 9 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 5 6 6 7 7 7 6 5 7 9 11 12 10 7 6 6 8 8 8 6 7 8 8 10 13 13 12 11 10 8 7 6 7 7 8 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 8 7 6 6 nan
nan 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 11 11 11 12 12 11 11 10 11 11 11 11 10 10 10 10 10 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 13 14 13 12 12 11 11 11 11 11 11 10 9 8 7 7 7 6 6 6 8 10 11 11 11 10 9 8 8 8 8 9 9 9 9 8 8 8 7 7 7 6 6 7 7 6 6 6 6 5 5 5 5 6 7 7 6 5 5 7 9 9 8 6 5 5 6 7 6 6 6 7 8 9 11 12 12 12 11 11 10 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 nan
nan 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 8 8 9 8 8 8 9 8 9 9 10 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 7 6 6 6 6 7 7 7 6 5 5 5 6 6 6 6 7 7 8 9 10 10 10 11 11 11 10 9 8 8 8 9 10 9 8 8 8 8 7 8 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 8 8 7 8 9 nan
nan 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 11 12 12 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 7 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 8 9 10 10 10 9 8 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 6 6 6 6 5 6 7 7 7 7 7 8 8 9 10 10 9 8 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 nan
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nan 10 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 8 9 10 11 11 12 12 12 12 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 7 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 6 7 7 8 8 8 8 7 7 7 7 8 8 8 7 6 6 6 5 4 3 4 5 5 6 5 5 5 5 5 4 3 3 4 5 6 6 5 5 6 6 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 10 11 11 11 nan
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nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 5 5 5 6 6 7 8 9 11 13 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 7 8 9 9 10 10 10 10 10 9 9 9 9 9 10 11 12 13 13 13 13 12 13 12 12 11 10 9 8 8 8 8 8 9 10 9 8 7 7 6 6 7 7 8 9 11 11 10 10 10 11 11 9 8 8 8 9 10 11 11 11 11 11 11 11 10 9 10 11 12 12 11 10 10 9 9 10 10 10 9 8 7 6 5 6 7 8 10 10 10 9 9 8 8 9 11 10 9 8 8 8 9 11 11 nan
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nan 9 9 8 8 9 8 9 9 9 10 10 10 10 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 12 14 14 14 13 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 12 12 11 11 12 12 11 9 9 9 10 11 10 9 8 7 7 7 7 7 9 9 10 10 11 10 9 9 8 8 9 9 10 10 11 11 11 11 12 12 11 10 9 9 10 11 11 11 10 10 10 9 9 8 8 7 6 6 6 7 8 9 10 11 11 11 11 11 9 9 9 9 9 9 10 9 9 10 10 10 nan
nan 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 8 8 10 11 13 14 14 14 13 12 11 11 10 10 10 9 9 9 9 10 10 10 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 9 9 10 11 12 13 13 12 12 12 13 13 12 11 10 9 9 10 10 9 8 7 7 7 7 7 8 9 10 11 11 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 10 9 9 10 10 11 11 10 9 9 9 8 7 6 5 5 5 6 7 9 10 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 11 10 10 9 8 8 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 6 6 6 7 8 9 10 11 13 14 14 14 12 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 9 9 9 10 10 10 9 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 10 11 12 12 13 12 12 13 13 14 13 12 11 9 9 10 10 9 8 7 7 7 7 7 8 9 10 11 11 10 9 9 9 8 9 9 9 10 10 10 10 11 11 12 11 10 9 9 9 10 11 12 11 10 9 8 7 6 4 4 4 4 5 7 9 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 8 nan
nan 10 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 8 9 10 12 14 15 15 13 12 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 10 9 9 9 10 10 10 11 11 11 11 10 10 10 10 9 9 9 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 8 8 8 9 10 10 9 8 8 9 10 11 12 12 13 13 13 13 14 14 13 13 12 10 9 10 10 9 8 7 7 7 7 7 8 9 10 11 10 10 9 9 9 8 8 9 9 10 10 10 10 10 10 11 10 10 9 9 10 11 12 13 12 11 10 8 6 4 3 3 2 3 4 7 9 10 12 12 12 11 10 10 9 9 9 9 9 9 8 8 8 8 7 6 nan
nan 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 8 8 9 11 13 15 16 15 13 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 9 9 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 8 8 8 9 10 10 10 9 9 10 11 11 12 13 13 14 14 14 14 14 14 14 13 12 10 10 10 9 8 7 7 7 7 7 7 8 9 10 10 9 9 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 13 11 7 5 4 2 2 2 4 6 9 10 11 12 12 12 11 10 9 9 9 9 8 8 6 6 6 6 6 6 nan
nan 8 8 9 9 9 9 9 8 8 9 9 10 10 10 11 11 10 10 9 8 8 7 7 7 7 8 9 12 14 16 16 14 12 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 9 10 10 11 11 10 10 11 11 11 12 13 14 15 15 15 15 15 15 14 13 12 11 11 10 10 9 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 11 10 10 10 11 13 16 15 12 8 6 3 2 3 5 7 9 10 12 13 14 13 11 9 9 8 9 8 7 6 5 5 4 5 6 7 nan
nan 9 9 9 9 9 8 8 9 9 10 11 11 11 11 12 11 11 10 9 9 8 7 7 7 8 8 10 13 15 17 16 13 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 10 11 12 12 12 12 12 12 12 12 12 12 13 15 15 16 15 15 15 15 15 14 12 12 11 11 11 10 8 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 13 17 17 15 11 8 5 4 5 6 8 10 11 12 13 14 13 11 9 9 9 9 8 7 5 5 5 5 5 6 7 nan
nan 9 9 8 8 8 9 9 10 11 11 11 11 11 12 12 11 11 10 10 9 9 8 8 8 8 10 12 14 17 17 15 13 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 10 10 10 9 9 11 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 15 15 15 15 15 15 14 14 13 12 12 12 11 9 7 7 7 7 6 6 6 6 6 6 7 7 7 8 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 10 12 15 16 15 11 8 6 6 7 8 10 11 11 12 12 13 12 10 9 9 10 10 9 6 5 5 6 7 7 7 8 nan
nan 9 9 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 11 13 15 16 16 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 6 7 7 8 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 14 14 14 13 13 13 13 14 15 15 14 14 13 12 10 9 7 7 7 6 6 6 6 6 6 6 6 7 8 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 11 13 13 12 10 7 7 7 8 9 11 12 11 11 10 9 9 9 10 11 12 12 10 8 6 5 6 7 7 7 9 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 10 10 10 10 11 13 15 14 13 11 10 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 10 10 11 10 10 10 10 10 10 11 11 12 12 13 13 14 14 14 13 13 12 12 11 11 13 14 14 14 14 14 13 12 10 9 8 7 7 6 7 6 6 5 5 5 6 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 11 10 9 8 7 7 8 9 10 11 11 10 9 7 7 8 10 12 12 11 10 9 8 6 4 5 5 6 7 9 nan
nan 9 9 9 9 10 10 10 10 10 9 9 10 10 10 11 10 10 10 10 11 11 11 10 10 10 11 12 13 12 10 9 9 10 10 10 9 8 8 9 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 11 11 11 10 8 7 7 6 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 10 10 10 10 11 12 13 14 15 15 14 13 12 11 10 10 10 11 11 11 12 13 13 13 13 13 12 11 9 8 8 8 7 7 6 4 4 4 4 5 7 9 10 10 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 9 8 7 8 11 14 15 13 10 9 7 6 4 3 4 6 8 9 11 nan
nan 9 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 11 12 12 11 10 9 9 9 9 9 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 10 9 8 7 6 6 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 11 10 10 11 11 11 10 10 10 10 11 12 14 15 16 15 14 12 11 10 9 10 10 10 10 10 11 11 12 14 14 14 13 11 10 10 9 9 8 8 6 5 4 3 3 6 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 7 6 6 6 5 6 7 8 9 10 10 10 10 9 8 7 7 9 12 15 15 13 11 9 8 6 4 5 8 11 12 13 14 nan
nan 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 12 12 11 11 11 10 10 9 9 10 11 12 12 11 10 9 9 9 9 8 7 7 8 10 11 11 11 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 10 10 9 8 6 5 6 7 7 8 8 8 8 9 9 10 10 11 11 11 11 12 13 13 12 11 11 11 11 12 11 10 10 10 10 11 12 13 15 15 15 13 12 11 10 9 9 9 8 8 9 9 9 11 12 14 14 13 12 12 11 11 11 10 10 10 9 7 6 6 8 9 10 10 10 10 10 9 9 9 8 8 8 8 7 6 4 2 2 3 4 6 9 10 11 11 11 10 9 8 8 8 9 9 10 10 10 10 10 10 9 8 8 10 13 15 16 16 15 nan
nan 11 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 11 12 13 13 12 11 10 9 9 8 8 7 7 9 10 11 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 7 6 6 6 7 8 8 9 9 9 9 10 11 11 12 12 11 12 12 13 13 13 12 11 11 12 12 12 11 10 10 11 11 12 13 14 13 13 12 12 12 11 10 9 9 8 8 8 7 7 8 9 11 12 12 12 12 13 13 12 13 13 12 12 12 11 12 12 12 11 10 10 9 9 8 8 9 9 8 8 7 5 3 0 -0 1 2 5 8 11 11 12 11 11 10 10 11 11 13 13 11 8 6 6 6 8 10 10 10 11 13 16 17 18 17 15 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 12 12 12 12 11 10 9 9 8 7 7 8 9 11 11 11 10 9 8 7 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 6 7 7 8 9 9 9 9 10 11 12 13 13 12 12 12 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 12 12 12 12 12 11 11 10 10 9 8 7 7 7 8 10 11 12 13 14 14 14 13 13 14 14 14 15 16 15 14 13 12 10 9 9 8 8 8 7 6 5 4 2 0 -0 1 3 6 9 11 12 12 12 11 11 12 13 15 17 18 18 15 12 9 8 7 8 8 9 10 11 13 16 18 17 16 13 nan
nan 10 10 10 10 11 11 11 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 10 10 11 11 11 11 11 11 10 9 8 7 7 8 9 10 10 10 9 8 8 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 8 8 8 8 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 10 11 12 13 13 13 12 11 11 11 11 12 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 10 8 7 7 6 7 8 9 10 12 13 13 13 12 12 13 14 15 16 16 16 16 16 14 11 9 8 8 7 5 4 2 2 1 1 1 3 6 9 11 12 13 13 13 13 13 14 15 17 18 19 19 18 17 15 13 11 9 8 8 8 10 12 15 16 17 15 13 11 nan
nan 10 10 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 10 10 11 12 11 11 9 8 7 7 8 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 12 13 13 12 11 11 10 10 10 10 10 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 11 10 9 8 7 7 7 7 7 8 9 10 11 11 10 9 10 12 13 14 15 15 15 17 17 14 11 8 7 5 4 3 2 2 2 3 4 7 10 12 14 15 15 15 15 15 15 16 16 16 17 16 14 13 13 13 13 12 11 9 9 9 10 12 15 16 16 15 13 10 9 nan
nan 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 12 11 10 8 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 8 8 7 7 7 8 8 8 8 9 9 8 7 7 10 12 13 14 13 13 14 15 16 15 13 10 7 4 4 4 5 6 7 9 11 14 17 18 18 17 17 17 17 17 16 16 15 14 13 11 9 9 9 9 9 10 10 11 12 14 15 16 16 15 13 12 10 9 8 nan
nan 10 10 11 11 11 11 11 10 10 10 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 10 11 12 11 11 9 9 8 8 8 8 7 7 8 8 8 8 9 9 10 11 11 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 7 7 7 8 8 8 8 8 9 8 8 7 9 12 13 14 14 13 13 13 14 15 16 15 14 10 8 9 9 10 12 13 15 17 18 19 18 17 15 14 14 14 13 13 12 11 11 10 9 9 9 10 10 12 13 14 16 17 18 18 17 14 12 9 8 8 8 8 nan
nan 10 10 10 11 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 8 8 7 7 8 8 9 10 10 11 11 11 11 10 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 12 12 11 11 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 7 8 8 8 8 8 9 9 9 8 9 9 11 12 13 13 12 12 13 13 13 14 14 14 14 13 12 12 12 13 14 15 16 16 16 14 12 11 11 12 12 12 11 10 10 10 10 11 12 12 12 12 13 15 16 18 18 18 18 17 14 12 9 8 8 8 8 9 nan
nan 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 10 11 11 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 9 9 10 11 11 12 12 12 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 7 8 8 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 13 13 14 13 12 12 12 12 14 15 15 14 13 13 13 12 12 13 14 14 13 12 13 14 15 16 16 16 15 14 12 11 10 10 10 10 10 9 nan
nan 10 10 11 11 11 10 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 9 9 8 8 8 9 10 11 11 12 11 10 9 8 8 9 9 9 10 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 10 9 9 10 11 13 13 13 13 12 11 11 11 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 12 12 14 15 17 19 20 19 17 15 14 14 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 nan
nan 11 11 11 11 11 10 10 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 9 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 11 11 10 10 11 12 13 13 11 10 10 11 12 14 14 14 13 13 12 11 11 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 10 11 13 14 13 14 16 17 19 20 19 17 15 13 12 11 11 11 11 12 12 13 13 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 nan
nan 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 12 11 11 10 9 9 10 12 13 13 11 11 11 11 12 13 13 13 13 13 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 9 8 8 8 8 8 9 8 7 6 6 7 9 11 13 14 15 15 15 15 15 16 16 15 13 11 10 10 10 10 10 11 12 13 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 13 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 11 10 9 9 8 9 10 10 10 9 8 7 7 8 9 10 10 11 11 10 9 9 10 11 13 14 14 12 11 10 9 9 10 12 12 12 11 10 10 10 10 11 12 12 13 13 13 12 11 10 8 7 7 9 11 13 13 13 11 11 10 10 10 10 9 9 8 8 9 9 10 11 11 11 11 10 10 9 8 8 8 9 9 9 8 7 7 8 8 7 5 4 3 3 3 4 5 6 6 6 5 6 7 7 6 3 2 3 6 11 14 15 15 15 15 14 14 14 14 14 13 12 11 10 10 11 11 11 11 12 13 14 14 13 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 nan
nan 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 11 11 11 10 10 9 8 8 9 10 10 9 8 8 7 8 9 10 11 11 12 12 11 10 10 10 11 13 14 14 14 12 11 10 10 10 11 11 11 10 9 9 8 9 9 10 11 13 14 14 14 13 11 8 7 7 10 13 15 16 15 14 13 13 12 11 11 10 9 8 8 8 10 11 11 11 12 11 10 9 8 8 8 8 8 8 8 7 6 7 8 9 9 8 6 4 2 1 0 0 1 1 2 3 4 4 3 1 -1 -1 3 9 14 16 15 14 14 13 13 12 12 13 14 14 13 12 11 10 11 11 11 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 12 12 12 12 12 12 nan
nan 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 8 8 8 9 10 11 12 12 13 13 13 13 13 13 12 12 13 13 13 13 12 11 11 11 11 11 10 10 10 9 8 6 6 7 8 11 13 15 16 17 15 12 10 10 10 12 14 14 14 14 14 14 14 14 13 12 10 8 8 8 9 10 11 11 12 12 11 9 8 7 7 7 6 6 5 5 6 7 9 10 11 11 10 9 6 4 1 -1 -1 -0 1 2 3 2 1 -1 0 4 10 17 20 17 15 12 11 11 11 11 12 13 14 14 14 12 11 11 10 11 12 12 13 13 13 12 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 9 10 10 11 11 12 13 15 15 15 14 14 12 11 11 11 12 12 12 11 11 11 11 11 11 11 10 9 7 4 4 4 6 8 10 12 15 17 18 17 15 14 12 12 11 11 11 11 12 12 13 14 14 12 10 9 8 8 8 8 8 9 11 12 11 10 8 7 7 6 5 4 4 6 7 9 10 11 11 12 13 13 11 9 7 4 4 4 4 4 4 4 4 6 10 15 20 24 22 18 14 11 10 10 11 11 12 13 14 14 14 13 12 11 11 11 12 12 13 13 12 11 10 9 10 11 12 13 13 13 13 12 12 12 12 13 13 12 12 nan
nan 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 9 10 10 10 9 9 11 13 14 15 14 14 13 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 9 8 5 4 4 5 6 7 8 10 12 14 15 16 16 14 12 11 10 9 9 10 10 11 11 11 10 10 9 9 9 8 6 6 6 8 9 10 10 10 10 8 7 6 6 6 8 9 10 10 10 10 11 12 13 13 12 11 10 9 8 6 5 6 8 11 15 19 22 25 24 20 16 13 11 10 10 11 11 11 12 13 14 13 13 12 12 12 12 12 12 13 13 12 11 9 9 10 11 13 14 13 13 12 11 11 12 13 13 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2985 3045 3156 3331 3552 3727 3820 3879 3948 4035 4116 4170 4189 4179 4144 4106 4082 4079 4099 4143 4178 4171 4135 4087 4031 3952 3860 3803 3782 3770 3743 3689 3608 3502 3393 3312 3275 3279 3312 3356 3367 3457 3594 3708 3835 3994 4172 4358 4572 4734 4835 4881 4901 4898 4834 4708 4556 4424 4315 4232 4184 4181 4202 4154 4097 4031 3958 3861 3718 3515 3241 2856 2374 1870 1437 1122 907 746 617 499 381 309 285 272 259 252 244 241 245 257 277 302 315 337 364 390 415 448 499 565 654 746 841 906 888 762 586 438 347 310 281 231 165 118 88 50 20 6 2 6 23 49 62 57 44 35 33 36 38 23 16 11 7 2 1 2 3 13 30 62 121 263 555 978 1022 887 710 552 421 308 214 142 98 61 32 13 5 5 12 20 22 26 30 30 24 11 3 3 3 2 2 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0
2377 2390 2454 2610 2863 3206 3481 3702 3897 4079 4236 4341 4343 4322 4272 4224 4201 4202 4217 4250 4274 4269 4233 4180 4119 4048 3983 3938 3916 3906 3891 3852 3783 3689 3584 3503 3478 3509 3581 3652 3640 3696 3795 3897 4012 4160 4330 4484 4628 4735 4816 4861 4881 4873 4812 4678 4518 4375 4256 4162 4106 4093 4079 3994 3879 3764 3655 3541 3398 3192 2884 2448 1935 1459 1087 824 640 511 389 308 235 188 170 161 156 151 144 138 139 147 160 172 173 185 203 211 204 196 208 266 342 422 516 604 640 591 474 363 266 232 222 196 154 115 69 33 9 0 0 1 5 13 25 30 22 10 2 1 4 3 2 1 0 0 0 0 0 4 26 85 209 430 707 1022 1023 887 722 574 442 315 216 130 78 43 20 8 3 2 5 12 18 24 30 33 32 18 6 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1747 1749 1754 1803 1914 2145 2430 2753 3107 3465 3794 4071 4247 4351 4367 4339 4317 4322 4344 4357 4350 4335 4303 4257 4206 4154 4108 4066 4042 4033 4024 3999 3943 3850 3735 3659 3658 3725 3808 3848 3831 3843 3923 4047 4175 4299 4429 4562 4651 4726 4800 4849 4862 4835 4756 4614 4458 4299 4172 4082 4022 3971 3892 3758 3600 3451 3328 3224 3093 2846 2488 2018 1520 1096 785 576 444 375 258 191 147 120 103 92 86 83 78 68 62 62 66 74 74 70 66 61 57 51 50 61 86 128 179 230 277 315 330 326 267 235 210 168 124 84 39 18 5 1 2 2 0 3 10 21 18 7 1 0 0 0 0 0 0 0 0 0 0 0 21 116 385 884 1113 1098 1005 881 752 622 486 353 247 156 89 44 18 7 1 0 1 5 10 17 25 35 55 39 21 10 4 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0
1209 1226 1180 1126 1105 1141 1253 1453 1740 2093 2483 2888 3286 3660 3961 4137 4221 4287 4359 4401 4380 4359 4347 4329 4297 4260 4220 4181 4153 4135 4117 4088 4036 3956 3892 3889 3954 4042 4092 4067 3997 3965 4037 4169 4284 4369 4461 4583 4632 4714 4792 4834 4824 4763 4649 4476 4340 4199 4090 4000 3906 3795 3650 3467 3273 3087 2937 2812 2648 2348 1960 1508 1076 722 473 329 267 239 172 123 92 72 59 49 44 40 35 27 22 20 17 16 13 10 11 14 13 10 6 5 9 17 30 49 75 112 169 219 222 209 180 130 74 29 14 8 4 3 4 2 0 1 3 10 10 4 1 0 0 0 0 0 0 0 0 0 0 0 6 36 217 820 1094 1106 1013 904 802 683 532 395 275 178 102 49 18 4 2 1 1 2 4 7 13 26 65 65 46 26 13 2 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0
643 679 627 546 486 468 490 547 652 820 1057 1348 1688 2052 2489 2924 3306 3640 3959 4235 4354 4368 4342 4314 4295 4274 4240 4200 4166 4144 4132 4134 4148 4147 4171 4261 4364 4417 4393 4304 4193 4136 4175 4255 4348 4438 4514 4564 4623 4715 4788 4806 4761 4658 4506 4325 4196 4085 3969 3836 3689 3533 3338 3133 2918 2674 2424 2176 1914 1623 1291 941 633 396 244 170 145 125 101 78 59 44 32 21 17 13 9 5 2 2 1 1 0 0 0 1 3 2 0 0 0 1 3 6 10 20 48 83 106 110 99 78 25 9 6 6 6 5 2 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 66 522 932 1091 1046 936 850 752 593 412 256 146 78 35 8 2 2 3 3 3 2 2 4 13 39 53 53 42 26 7 3 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0
184 208 191 151 115 113 141 172 197 235 306 414 556 732 940 1255 1697 2221 2794 3379 3873 4187 4324 4337 4297 4251 4204 4157 4139 4162 4224 4305 4383 4433 4459 4587 4691 4697 4608 4469 4333 4262 4277 4310 4381 4463 4522 4565 4616 4692 4742 4731 4644 4503 4353 4181 4008 3859 3697 3521 3342 3164 2981 2795 2560 2239 1863 1483 1146 891 678 472 304 191 129 98 84 71 59 47 36 24 12 5 3 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 2 4 15 23 25 23 21 6 8 8 7 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 28 345 831 1094 1086 969 911 842 658 409 209 99 56 29 7 2 2 3 3 3 2 3 3 6 13 22 36 48 36 19 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 21 24 20 13 15 31 57 67 71 83 110 149 191 227 307 486 804 1250 1828 2510 3153 3688 4057 4230 4247 4231 4206 4215 4296 4443 4590 4668 4665 4653 4762 4851 4831 4713 4556 4409 4328 4336 4348 4381 4432 4481 4512 4530 4567 4574 4518 4386 4208 4032 3840 3631 3428 3236 3068 2924 2783 2623 2438 2150 1766 1336 927 601 402 291 204 137 94 71 56 49 42 35 29 21 12 4 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 0 0 0 0 0 1 1 2 2 1 1 1 3 7 9 9 7 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 63 325 703 919 928 857 846 827 679 414 198 89 50 25 8 2 2 2 3 4 3 2 4 5 7 9 16 29 32 23 12 5 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0
3 4 4 3 2 2 6 24 33 32 31 38 49 60 73 91 120 176 313 601 1027 1563 2141 2757 3335 3789 4092 4283 4400 4508 4650 4782 4833 4791 4763 4807 4838 4787 4670 4538 4427 4377 4374 4369 4361 4351 4343 4336 4328 4298 4245 4136 3978 3789 3577 3365 3167 2990 2829 2648 2469 2346 2133 1880 1569 1209 835 505 280 170 121 92 68 51 39 31 27 25 24 21 15 8 3 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 8 14 23 27 24 22 16 10 5 3 3 2 1 0 1 1 0 0 0 4 4 3 2 3 6 20 118 281 400 442 445 466 507 551 529 394 244 141 79 38 16 6 3 4 7 13 12 4 3 5 7 8 10 13 15 15 14 11 9 13 13 9 3 0 0 0 0 0 0 0 0 0 0
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0 0 0 0 0 0 0 0 0 1 3 7 11 16 22 28 32 35 34 33 34 39 46 52 56 57 53 44 41 45 54 61 37 22 14 13 19 31 46 56 55 41 29 20 12 9 9 10 12 15 17 19 21 23 29 40 43 42 42 44 40 38 40 45 52 56 61 63 59 52 49 47 46 43 41 42 45 48 53 55 51 48 49 50 45 39 32 25 26 25 24 23 24 27 31 34 33 30 28 28 31 37 44 42 37 30 24 20 21 23 24 25 21 18 12 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 1 3 7 11 16 20 21 13 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4
0 0 0 0 0 0 0 1 3 5 10 14 19 22 24 27 29 30 30 31 33 38 44 46 46 44 38 31 35 50 65 61 37 26 21 19 21 32 45 49 39 29 21 12 8 10 12 15 19 23 25 27 31 37 42 50 50 48 47 50 49 45 42 43 45 47 51 52 49 45 43 44 44 38 36 35 37 40 45 49 47 45 46 42 37 34 33 32 31 29 27 26 26 27 31 36 38 38 37 37 39 42 46 44 36 27 21 22 22 23 25 27 21 16 11 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 1 4 7 10 15 20 21 15 10 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 3 2
2 1 1 1 1 2 3 5 10 15 19 23 25 26 28 30 31 29 28 30 33 36 38 35 33 30 26 24 36 60 77 55 39 32 31 33 36 42 40 33 24 23 22 16 11 13 16 19 22 25 27 28 34 43 54 61 65 66 66 67 62 55 47 40 38 39 41 42 42 40 39 36 32 30 32 34 37 39 38 41 40 38 37 34 28 26 27 25 25 26 27 28 29 34 41 48 52 52 48 45 45 45 45 43 35 23 19 18 18 21 25 32 31 28 25 15 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 2 4 6 9 10 13 16 17 14 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 1 0
3 3 4 4 5 6 8 12 17 21 25 27 30 32 33 33 32 31 27 26 28 31 29 26 23 22 26 37 57 73 76 58 44 38 39 43 44 41 32 22 16 17 23 22 17 17 21 24 27 28 28 30 37 49 63 76 84 86 85 84 77 66 55 45 36 33 32 33 34 33 31 28 27 30 35 38 41 43 42 37 33 31 30 26 22 20 19 17 17 19 23 27 31 39 46 51 52 49 41 36 37 40 42 42 36 28 23 21 21 23 27 34 33 27 17 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 3 5 8 9 10 10 12 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 2 1 1
8 8 8 9 11 13 15 17 20 23 25 27 29 31 31 32 31 29 27 27 26 25 22 24 23 20 19 28 50 59 55 46 40 39 44 48 45 36 26 17 12 12 21 24 22 21 23 26 30 33 31 36 46 57 68 74 78 83 86 89 85 76 66 58 49 43 44 52 70 93 55 27 27 34 40 44 47 46 40 34 30 29 27 24 22 19 15 14 16 18 21 24 29 32 34 34 34 34 28 22 22 26 30 32 34 36 34 28 22 20 24 25 22 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 0 0 0 0 0 0 0 1 2 2 4 6 7 8 7 5 3 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 0
17 17 17 18 19 20 19 18 17 17 19 22 24 25 26 26 25 22 21 21 22 20 14 16 18 23 31 43 46 41 32 27 28 32 39 44 40 30 21 16 13 12 21 25 24 24 25 27 34 41 36 41 49 58 66 68 72 76 81 85 85 83 81 79 72 74 92 120 146 156 105 59 39 33 37 43 46 42 34 28 24 22 20 24 25 24 25 25 26 26 25 24 26 26 23 21 22 22 18 12 8 10 13 18 26 34 32 24 18 17 18 15 10 5 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 2 3 4 4 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 1 1 0 0
24 25 25 24 23 21 18 15 12 13 15 17 20 21 22 21 19 16 16 20 22 19 8 5 9 21 37 53 53 42 30 24 27 28 36 42 35 22 13 11 14 19 23 24 23 24 26 26 30 39 40 41 45 54 63 67 70 73 74 77 82 87 91 95 97 134 180 219 237 226 199 158 104 52 43 39 35 31 27 23 21 21 25 26 27 28 28 27 27 26 25 24 21 18 15 14 15 14 10 6 2 2 4 7 11 13 14 15 15 14 10 5 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 1 2 3 4 3 1 1 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 0 0 0
19 21 21 21 19 17 15 14 14 15 15 16 17 19 19 18 16 14 16 15 11 6 5 8 13 23 35 48 48 41 33 28 29 33 39 44 35 24 18 21 31 36 29 24 23 26 26 28 31 33 34 37 41 48 57 61 59 57 59 67 78 81 81 82 81 82 92 137 243 248 210 146 78 38 35 32 30 29 29 22 17 18 29 30 30 29 27 24 23 22 21 19 15 10 8 8 8 5 3 1 0 0 1 2 2 3 5 9 11 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 0 0 0 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 0 0 0 0 0 0 0 0
20 19 18 16 14 12 12 13 14 15 15 15 16 17 17 16 15 16 22 16 11 9 11 16 21 26 35 52 55 48 38 28 27 37 43 41 30 18 18 28 42 40 32 26 25 29 31 32 32 32 35 40 45 54 68 74 76 75 72 69 68 67 65 63 66 80 88 103 154 153 129 96 64 40 36 32 27 26 29 26 22 18 20 25 30 33 30 24 20 15 11 8 5 3 3 3 2 1 0 0 0 1 1 2 2 4 5 8 10 9 6 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 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 0 0 6 5 2 0 0
20 18 15 13 11 10 11 12 13 13 14 14 13 13 14 15 17 18 19 21 21 20 18 17 21 26 34 48 53 46 34 22 22 32 34 29 19 14 23 34 41 35 27 24 25 30 32 32 32 33 37 46 58 70 82 87 88 86 85 84 75 67 61 56 52 47 52 60 57 55 54 58 65 55 43 33 25 23 40 44 37 24 22 30 37 39 31 24 16 9 3 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 3 6 7 8 8 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 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 12 14 6 0 0
13 12 11 11 10 11 12 12 13 14 12 10 10 11 14 17 20 20 18 20 22 20 16 11 17 23 28 34 38 37 33 27 27 26 24 19 14 16 21 26 29 30 29 28 27 30 33 35 37 42 47 54 62 72 81 86 87 88 88 89 81 72 63 57 52 45 39 35 31 31 32 36 43 39 37 37 37 28 43 42 33 26 31 47 51 42 30 19 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 5 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 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 6 2 0 0
10 10 11 11 10 12 13 15 17 18 17 17 16 16 16 18 19 19 17 18 17 14 10 8 13 18 21 23 27 31 32 30 29 27 22 16 11 15 20 25 29 31 26 27 30 33 35 37 40 43 47 52 58 65 73 79 82 85 88 90 80 69 59 54 51 46 42 38 35 33 33 33 32 32 36 42 44 35 34 30 26 26 35 44 42 30 19 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
12 10 10 10 11 12 13 15 17 19 21 22 21 19 16 15 14 14 17 17 12 10 11 10 11 11 13 15 20 34 43 46 42 31 18 10 9 14 20 26 31 30 26 29 33 35 37 40 44 47 47 51 54 58 61 70 75 76 73 67 62 58 55 52 50 48 45 42 40 36 34 34 34 34 35 34 33 31 27 23 19 17 22 24 23 18 11 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 26 38
12 11 10 10 11 12 13 15 16 17 18 19 17 15 14 15 15 15 15 12 7 6 8 9 8 9 12 17 23 41 53 57 51 32 15 7 9 14 20 27 31 31 30 29 29 31 35 40 50 60 63 61 53 46 45 57 65 67 65 60 56 56 56 54 54 52 45 39 40 38 38 38 39 39 42 41 34 26 22 17 14 11 14 14 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 31 52 70
11 11 11 10 10 11 15 15 13 12 11 12 12 12 12 14 14 13 10 6 7 11 15 17 18 21 22 21 27 34 38 37 31 19 13 10 11 14 20 26 30 30 26 24 26 31 37 45 60 76 83 71 56 45 42 50 56 59 58 52 46 45 49 53 55 50 42 38 41 42 43 45 44 42 45 43 34 26 21 18 15 12 12 11 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 33 50 66 78
10 9 9 10 10 10 15 13 12 10 10 9 9 11 12 13 13 12 9 4 9 14 18 19 18 15 13 13 15 16 16 15 15 14 14 16 17 18 21 24 24 22 21 22 25 30 39 50 70 92 95 76 57 51 64 61 60 58 55 48 39 47 65 82 82 68 54 47 46 47 48 48 46 41 38 35 31 26 21 18 16 13 12 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 8 17 32 50 66 80 91
10 9 7 6 6 8 12 13 13 13 13 12 11 11 11 12 13 11 7 3 7 11 14 14 10 6 5 7 9 8 5 4 6 9 11 12 12 14 22 25 26 25 26 31 36 41 41 60 81 97 101 86 64 52 63 70 70 65 57 49 52 66 88 109 119 112 95 72 60 55 53 51 49 41 36 32 30 27 22 17 15 12 11 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 7 10 15 22 29 36 48 62 77 93 106
10 9 6 2 2 5 9 13 16 17 16 16 15 14 13 12 12 10 6 3 3 5 7 10 13 12 9 7 5 4 3 2 4 8 13 15 15 11 16 22 27 29 34 48 67 84 68 65 70 78 83 75 60 52 61 69 65 61 58 56 61 70 83 98 88 102 110 98 87 79 66 50 44 37 32 30 29 27 24 20 17 14 11 9 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 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 1 1 3 6 5 3 1 2 5 8 11 15 17 20 24 29 36 42 48 53 59 69 79 91 105 113
6 5 4 3 5 8 11 14 17 18 17 17 16 16 15 13 9 7 5 2 1 1 4 7 9 10 10 10 8 5 3 4 7 10 12 13 11 9 9 13 19 23 27 44 68 89 76 67 65 63 54 50 48 50 55 54 54 55 57 60 61 68 78 88 64 70 84 91 84 73 58 43 35 31 29 28 28 32 38 40 35 25 16 9 5 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 1 1 1 1 0 0 0 0 0 0 1 2 6 8 13 21 31 33 29 27 30 31 31 33 39 46 52 56 60 65 74 83 90 96 101 104 108 115 126 132
2 1 1 4 7 9 12 15 17 18 18 16 16 15 14 12 9 5 2 1 0 0 3 6 8 9 9 8 7 3 2 3 6 10 11 11 11 9 4 5 10 17 20 47 79 102 96 76 57 43 38 35 38 44 50 50 53 59 64 62 62 60 58 57 47 48 53 56 51 47 42 36 32 30 28 27 26 33 37 38 34 29 19 10 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 1 1 1 1 0 0 0 0 0 3 11 23 36 41 46 54 58 58 57 56 59 62 66 72 80 87 93 98 102 109 121 132 140 147 150 151 152 161 171 178
0 0 1 4 8 11 14 14 16 17 17 16 14 12 10 8 5 2 1 0 0 0 1 4 6 6 4 3 1 1 0 1 4 9 13 13 10 7 3 3 7 14 21 55 86 100 86 52 32 27 30 32 38 47 57 55 59 61 59 60 65 62 54 44 37 34 36 40 49 49 45 39 34 29 27 25 23 24 25 25 25 32 26 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 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 1 0 0 0 1 0 1 1 1 1 0 0 0 1 5 21 47 82 98 104 106 103 94 89 88 90 93 98 104 111 121 128 133 137 141 166 177 178 184 191 196 198 199 204 209 217
1 2 3 5 7 9 12 14 16 16 15 15 13 11 8 4 2 1 0 0 0 0 0 2 5 5 3 0 0 0 0 1 2 4 9 10 9 6 4 3 5 13 24 55 80 88 68 44 31 27 28 36 48 59 67 68 70 68 63 58 62 63 58 50 44 40 38 39 64 67 64 63 66 62 53 38 22 12 8 7 6 17 20 19 14 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 1 1 0 0 1 1 0 0 0 0 6 25 58 102 148 171 180 177 164 135 127 132 137 140 146 153 159 162 155 145 138 136 147 158 171 185 189 196 205 210 201 195 194
2 3 4 7 7 7 8 12 12 12 13 13 12 11 8 4 1 0 0 0 0 0 0 2 5 7 5 2 1 1 1 1 0 0 2 3 3 3 3 1 3 10 21 41 59 66 50 41 37 36 40 53 69 83 88 96 87 70 53 58 71 75 71 66 59 52 47 48 65 71 70 67 72 79 72 50 21 5 0 0 0 2 6 12 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 0 0 0 0 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 1 1 1 0 0 1 3 22 58 103 148 193 221 234 231 216 200 191 188 186 184 185 185 174 150 123 100 89 83 89 103 121 139 147 152 154 147 133 123 118
2 2 3 5 7 8 10 12 10 9 9 10 9 10 9 5 2 1 0 0 0 0 2 4 7 10 10 8 6 6 5 4 2 1 0 0 1 1 1 0 2 7 13 23 32 37 32 35 40 45 54 77 103 120 119 121 113 96 79 83 90 92 88 81 77 69 63 66 66 62 53 45 49 59 55 36 11 3 0 0 0 0 1 3 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 1 1 1 1 1 0 0 3 17 52 93 133 173 206 230 242 243 229 211 193 179 178 180 176 161 131 99 74 61 67 78 88 94 93 108 114 110 97 81 65 54 52
1 0 1 2 5 7 9 10 11 12 11 10 8 9 9 7 4 1 0 0 0 3 7 10 12 13 14 14 14 14 12 9 6 2 1 0 0 0 0 0 1 5 10 14 17 20 23 33 45 60 80 99 112 118 116 117 113 104 94 105 105 97 83 70 74 72 67 61 53 46 40 36 39 44 44 32 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 0 0 0 0 0 0 0 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 1 5 15 44 76 105 128 142 150 160 175 185 169 147 127 118 116 116 112 106 99 96 100 113 118 124 128 127 119 119 115 102 74 56 44 37 34
1 1 2 2 4 5 6 6 7 7 7 7 11 11 12 12 10 2 0 0 0 5 10 13 15 13 14 16 19 20 18 15 12 8 5 2 0 1 0 0 2 5 9 10 11 15 22 30 40 55 77 65 53 51 63 82 89 89 84 88 81 67 52 47 51 54 55 55 51 49 47 45 43 41 38 31 12 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 0 0 0 0 0 0 3 13 33 60 76 84 85 88 97 108 117 104 95 90 88 89 87 89 94 102 107 111 116 123 131 140 142 133 125 120 115 105 70 48 35 28 26