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 9 8 8 7 8 7 7 6 6 6 6 6 5 5 6 7 9 9 7 6 4 3 4 5 6 7 8 7 7 9 10 7 4 5 6 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 8 8 9 9 9 9 8 7 6 6 7 7 8 8 8 6 6 6 6 7 8 8 9 9 8 8 7 7 8 8 7 5 5 6 6 6 7 7 7 6 6 6 7 6 6 6 7 8 7 7 6 6 6 5 5 4 5 4 5 5 6 6 6 6 7 7 7 7 7 nan
nan 10 10 9 8 8 7 6 6 6 6 6 6 6 6 6 7 8 8 7 5 3 3 4 5 7 8 8 8 8 9 9 6 5 5 6 7 7 7 7 8 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 6 6 6 7 8 8 7 6 6 7 7 8 8 9 9 9 8 7 7 7 7 7 6 6 6 6 6 7 7 8 7 6 6 6 7 7 7 7 7 8 8 7 6 6 6 6 5 5 5 5 5 6 7 6 6 6 7 8 8 7 7 nan
nan 10 10 9 8 8 7 6 7 7 7 7 7 6 6 6 7 8 8 6 4 3 4 5 6 7 8 8 8 7 8 8 7 6 7 7 8 8 7 7 7 8 8 8 8 8 7 7 8 9 9 8 8 9 9 9 8 7 7 7 8 8 8 7 7 7 8 9 8 8 7 7 7 6 6 6 7 8 7 7 6 6 7 8 8 8 9 9 9 8 7 7 7 7 7 6 6 7 7 7 7 8 7 6 5 5 6 7 7 6 7 7 9 8 7 7 7 6 6 6 6 5 6 6 7 7 7 7 7 7 8 8 7 7 nan
nan 10 10 9 8 7 6 7 7 7 7 7 7 7 6 6 7 8 7 6 5 4 4 5 6 7 8 9 8 7 7 7 8 7 8 8 9 8 8 6 6 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 8 6 6 6 7 8 7 7 6 7 8 8 8 7 7 7 8 7 6 7 7 7 7 6 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 nan
nan 9 9 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 7 6 5 4 4 5 6 6 7 8 8 7 8 8 8 7 8 8 9 9 8 7 6 8 8 7 7 7 7 8 8 9 9 9 8 9 9 9 8 7 6 6 7 7 7 7 6 7 7 8 8 8 7 7 7 8 7 7 7 7 6 7 7 8 8 9 9 9 9 10 9 8 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 8 nan
nan 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 7 6 5 4 4 5 6 7 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 8 8 9 9 9 9 8 7 6 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 6 7 8 9 10 9 9 9 10 9 8 7 6 7 8 9 10 9 9 9 8 8 7 7 7 8 8 9 8 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 7 6 5 4 4 5 7 8 7 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 7 6 7 7 7 8 8 8 7 7 8 8 9 8 7 7 7 8 9 9 9 9 9 9 10 11 10 9 7 7 8 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 8 7 6 5 6 7 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 8 8 7 7 7 7 7 7 7 7 6 7 7 8 9 9 8 6 5 4 4 5 6 8 8 8 8 8 7 7 6 7 8 10 10 9 8 7 7 8 8 8 7 7 7 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 7 7 8 8 8 7 7 8 8 9 9 10 10 11 11 12 13 14 12 10 8 8 9 9 8 9 9 10 10 9 8 8 8 8 9 9 10 11 10 8 7 5 6 7 8 8 8 7 7 8 8 8 8 9 9 8 8 7 7 7 8 8 nan
nan 9 8 8 7 7 6 6 6 6 6 6 7 8 8 9 8 8 6 5 4 4 5 7 8 8 9 9 9 8 7 6 7 9 10 10 10 9 8 8 8 9 8 8 7 8 9 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 9 9 10 10 11 12 13 14 13 13 14 13 11 10 9 10 9 9 9 9 10 10 10 9 8 8 8 9 9 10 11 10 9 7 6 6 7 8 9 9 8 8 8 7 7 8 9 9 8 8 7 7 7 8 8 nan
nan 10 9 8 7 7 6 6 6 6 6 6 7 8 8 8 8 8 6 5 5 6 6 6 7 8 9 9 8 8 7 6 6 7 8 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 9 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 9 11 11 11 12 12 13 14 13 13 12 11 10 10 11 11 9 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 8 8 8 7 6 6 8 9 9 8 8 7 7 7 7 8 nan
nan 11 9 8 8 7 7 6 5 6 6 7 7 7 7 8 9 9 7 6 7 7 7 6 6 6 7 8 8 8 7 6 6 6 7 8 9 9 8 8 9 10 9 9 9 9 10 10 11 10 9 8 7 7 7 8 8 9 9 9 9 8 8 8 7 7 7 8 9 10 10 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 12 12 12 12 11 10 11 12 11 8 6 7 9 11 11 12 11 11 11 11 11 9 9 9 9 8 7 7 6 6 7 7 7 7 7 7 6 7 8 8 8 8 8 7 7 8 8 8 nan
nan 12 10 9 8 8 7 6 6 5 6 7 7 7 7 8 9 9 8 7 7 8 7 6 5 5 6 8 8 7 8 8 8 7 6 7 8 9 8 8 8 8 8 9 10 10 11 12 12 10 8 7 7 8 8 8 9 10 11 11 11 10 11 10 9 9 10 11 12 13 13 14 14 15 15 14 12 11 9 8 8 8 9 9 10 11 12 13 13 12 11 11 12 12 10 6 5 6 8 11 12 12 12 12 12 13 13 11 10 9 9 8 8 8 8 7 8 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 9 nan
nan 13 11 9 9 8 8 7 6 5 6 7 8 7 7 8 10 9 8 7 7 8 7 6 5 4 5 6 7 7 8 8 8 6 5 6 7 8 9 8 9 10 10 10 10 10 12 14 12 9 8 7 8 8 9 9 10 11 13 13 13 14 14 13 11 11 13 14 15 16 16 16 16 17 17 15 13 10 9 7 6 7 8 9 9 11 12 12 12 12 11 11 11 12 10 8 5 5 7 9 11 12 13 13 14 15 14 13 12 10 9 8 9 10 10 9 9 9 9 8 8 8 9 9 8 8 8 7 7 8 8 8 8 9 nan
nan 13 11 10 9 9 9 8 7 5 6 8 8 7 7 8 9 10 9 8 7 8 8 7 4 3 3 5 6 7 7 7 6 5 5 5 6 7 9 10 11 12 13 12 9 9 12 14 12 10 8 8 8 8 9 9 10 11 12 13 14 15 15 13 11 11 12 13 13 14 14 14 15 15 15 13 11 9 8 7 7 8 8 9 10 12 13 12 11 11 10 10 11 12 11 9 7 6 6 7 8 10 11 14 16 15 14 14 13 11 9 9 9 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 9 nan
nan 13 12 11 10 10 9 9 7 6 7 8 8 8 8 8 9 9 8 7 7 7 7 7 5 4 3 5 6 6 6 6 6 7 6 5 6 7 8 9 10 11 11 11 9 10 12 12 10 9 8 8 9 9 8 8 9 10 11 11 11 13 14 12 10 9 10 10 10 10 10 11 11 12 11 10 9 8 7 7 7 7 8 9 12 15 16 14 12 10 9 9 10 10 10 9 8 7 6 6 7 7 9 12 13 12 11 11 11 10 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 8 9 nan
nan 14 13 12 11 10 10 9 8 7 7 8 8 8 9 10 9 8 7 6 6 6 7 7 6 5 5 5 6 7 7 7 7 8 7 7 6 6 7 7 7 9 9 9 9 10 10 9 8 8 8 8 9 9 8 7 8 9 10 9 9 11 12 10 9 9 9 8 8 8 8 9 10 10 11 11 9 8 7 6 6 6 8 10 14 18 19 17 14 11 10 10 9 9 9 9 9 8 7 7 8 7 8 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 9 10 11 10 9 8 8 7 7 8 9 11 12 12 11 10 nan
nan 15 15 13 12 11 11 10 10 9 8 7 7 8 9 10 10 9 8 7 7 7 7 8 7 6 6 7 7 8 7 7 7 8 8 7 7 6 6 7 7 8 9 9 10 10 9 8 7 7 7 7 8 9 8 7 8 9 9 9 9 9 10 9 9 10 9 9 7 7 7 8 9 10 11 12 11 9 7 6 5 5 8 11 14 17 19 17 13 10 10 9 8 8 8 9 9 9 8 9 9 9 10 9 8 7 7 7 7 9 9 9 7 6 5 6 7 7 9 10 12 11 9 8 7 7 7 8 10 12 13 13 13 11 nan
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nan 14 15 14 12 11 12 13 15 15 15 12 9 8 7 7 9 10 11 12 13 12 11 9 9 9 9 9 9 9 9 8 7 7 7 6 6 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 7 7 8 9 9 10 10 10 9 10 10 11 11 11 10 9 8 7 7 8 11 13 11 10 9 9 9 10 10 11 12 12 11 10 8 8 8 8 8 8 7 7 8 9 10 10 11 12 13 11 10 9 8 8 9 9 8 7 6 6 6 8 9 10 11 11 10 9 8 8 8 8 10 11 12 11 10 9 9 nan
nan 13 14 13 12 12 12 14 16 18 18 15 12 9 8 7 9 10 11 12 12 12 11 11 11 10 9 9 9 10 11 12 12 9 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 6 6 5 5 6 7 9 10 11 11 10 10 10 10 10 11 11 11 11 11 10 9 9 11 12 12 12 11 11 10 10 10 10 10 11 10 9 8 7 7 7 7 7 7 7 8 9 10 10 11 12 12 12 11 10 9 8 8 7 7 7 6 6 7 8 9 10 11 11 10 9 8 7 7 8 9 11 12 11 10 10 10 nan
nan 12 12 13 13 13 13 15 16 19 19 18 15 12 10 9 8 9 9 10 9 9 9 11 11 9 8 8 9 11 15 18 17 11 8 7 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 7 5 5 5 5 6 7 8 9 10 11 10 10 9 10 10 11 11 11 11 11 11 10 10 11 13 13 13 13 12 10 9 9 9 9 10 10 10 8 7 6 6 6 7 8 8 9 9 10 10 10 11 12 13 13 11 10 8 8 7 6 6 6 6 7 9 10 11 12 12 11 10 8 7 7 7 8 9 10 11 11 12 11 nan
nan 10 11 12 13 14 14 15 16 18 20 18 16 14 12 10 9 8 9 9 8 8 10 11 10 9 8 8 9 11 15 19 18 12 10 9 10 10 10 9 9 9 8 8 8 8 9 9 9 9 8 7 6 6 6 7 6 6 7 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 12 12 13 13 12 11 9 8 8 7 8 9 10 9 7 6 5 5 6 7 8 8 9 9 9 9 10 11 12 13 12 11 10 9 7 6 5 5 6 8 9 10 11 12 13 12 10 9 8 8 8 9 9 9 9 10 11 10 nan
nan 9 9 10 12 12 13 14 15 18 19 18 16 14 12 10 9 8 9 8 8 9 12 14 13 11 11 10 10 11 13 16 15 12 11 10 11 11 11 11 10 10 9 9 9 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 7 8 8 9 9 9 10 10 10 10 9 9 8 9 10 10 11 11 12 12 11 9 8 7 7 7 8 10 10 9 7 5 4 4 5 6 7 8 8 9 9 9 10 11 12 13 12 11 10 8 6 5 5 5 7 8 9 10 11 12 12 11 10 10 11 11 10 9 9 8 8 9 9 nan
nan 7 8 8 9 10 11 12 14 16 17 17 16 15 13 11 9 7 7 7 7 10 13 16 17 17 15 13 11 12 13 14 12 11 10 10 11 11 11 11 11 10 10 10 10 10 9 8 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 9 9 8 8 7 7 8 10 11 10 8 7 6 5 5 6 7 7 8 8 8 9 9 10 11 12 13 13 11 9 7 5 5 5 6 7 8 8 9 10 11 11 11 12 13 13 12 10 9 8 8 8 9 nan
nan 6 6 6 7 9 10 10 11 12 14 15 16 15 13 11 8 6 5 6 8 11 14 16 18 19 16 13 12 12 13 12 10 9 9 9 10 10 10 11 10 9 9 8 8 7 6 5 5 5 5 6 6 5 5 5 5 5 4 5 6 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 9 11 11 11 10 8 7 7 6 6 6 7 7 8 8 8 9 10 11 12 13 13 13 11 8 7 6 6 6 7 8 8 8 8 10 11 12 12 13 12 11 9 8 8 9 10 11 nan
nan 3 4 5 7 8 9 9 9 9 10 12 14 15 14 11 8 5 5 7 10 13 16 17 18 16 12 10 9 9 9 9 7 6 6 7 8 8 7 7 6 5 5 5 4 3 2 3 4 5 6 5 5 5 4 5 5 4 4 4 5 6 7 7 8 7 7 7 7 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 7 7 7 7 7 7 8 8 8 8 9 10 11 12 13 13 11 9 8 7 7 6 7 8 7 7 7 9 10 11 11 11 10 10 9 10 11 12 12 12 nan
nan 1 2 5 6 7 8 8 8 9 10 11 13 15 14 11 8 7 7 9 12 15 17 19 18 12 7 6 5 5 4 4 4 4 4 5 5 4 3 2 2 2 2 2 2 1 2 4 5 6 6 6 6 6 6 6 6 5 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 9 9 9 9 10 9 9 9 8 8 8 9 10 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 10 10 11 11 11 10 9 8 7 6 6 7 7 7 7 8 9 10 9 9 9 9 10 11 12 13 13 12 nan
nan 3 4 5 6 6 7 8 9 10 10 12 14 16 14 12 11 10 10 11 12 14 16 18 16 10 5 4 3 3 4 5 5 5 5 4 3 2 1 0 1 1 2 3 3 3 4 5 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 8 8 10 10 11 10 8 6 6 6 7 7 6 6 7 7 8 8 8 8 9 10 11 11 12 11 10 nan
nan 4 5 5 5 6 7 9 10 11 12 14 16 17 15 13 12 12 12 12 11 12 13 14 13 9 6 4 4 5 7 8 8 8 6 5 4 3 2 2 3 4 4 4 5 5 6 6 7 7 8 7 7 6 6 7 7 7 8 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 8 8 8 8 9 9 8 7 7 7 8 8 9 10 10 10 10 9 8 8 8 10 10 10 9 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 9 9 10 10 9 nan
nan 2 3 3 4 6 7 9 10 12 13 15 17 17 16 13 11 10 10 9 9 10 11 11 9 7 6 5 6 7 9 9 9 7 6 5 4 4 5 6 6 6 6 6 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 6 5 5 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 8 8 8 9 8 8 7 7 7 8 8 9 10 10 10 10 9 9 8 8 9 10 10 10 9 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 1 1 2 4 6 7 9 10 12 14 16 18 18 16 13 10 8 6 6 7 8 9 9 8 6 5 6 6 7 8 8 7 7 6 5 5 7 9 9 8 7 7 7 8 9 10 11 11 10 9 7 7 7 7 7 7 8 7 7 5 5 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 10 10 9 9 9 8 7 7 6 7 9 9 9 8 8 7 8 9 9 8 8 7 6 nan
nan 2 2 3 4 6 7 8 10 12 14 17 19 18 16 12 8 7 6 6 7 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 9 10 10 10 9 8 8 9 10 11 13 12 10 8 7 6 7 7 8 8 8 9 8 8 6 5 4 4 5 7 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 8 9 9 8 8 9 9 8 7 7 8 7 8 8 9 9 8 7 7 8 9 9 8 8 7 7 nan
nan 3 3 4 5 6 7 8 10 13 15 18 19 18 14 11 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 8 9 9 11 11 11 10 8 7 6 6 7 8 9 9 9 9 10 9 9 8 7 6 5 6 8 9 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 8 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 8 8 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 nan
nan 4 4 5 6 7 7 9 11 14 16 18 20 18 14 11 10 10 10 10 9 9 8 8 8 9 9 10 10 10 11 11 11 11 9 8 8 8 8 8 8 9 10 11 10 8 5 4 4 6 7 8 9 10 10 10 10 9 10 11 11 10 9 8 7 8 10 10 10 10 9 9 8 8 8 7 7 7 6 6 6 6 6 5 5 6 6 7 7 8 9 9 8 8 8 8 9 9 8 8 7 7 7 7 9 9 9 9 9 9 8 8 8 8 7 7 8 9 9 9 8 7 6 6 6 7 9 9 9 9 9 9 10 10 nan
nan 6 6 7 8 8 9 10 12 15 17 19 20 17 14 11 10 10 9 9 9 9 9 10 11 12 12 13 13 13 13 13 12 9 7 6 6 7 8 8 8 9 10 9 7 5 5 5 6 7 8 9 9 9 10 9 9 9 9 11 12 12 11 9 8 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 5 5 5 5 5 5 6 7 8 9 9 9 8 8 8 8 8 9 8 8 8 7 8 8 9 10 9 9 9 9 9 9 9 8 7 8 9 9 9 9 9 9 7 6 6 8 10 10 10 10 9 10 10 10 nan
nan 9 9 9 10 10 10 11 13 15 17 20 20 17 14 11 10 9 8 8 8 9 10 11 13 14 15 15 15 14 14 13 11 8 7 7 8 8 9 9 10 10 9 7 7 6 7 7 8 9 9 9 9 9 9 8 8 8 8 7 8 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 9 10 10 9 8 8 8 8 9 9 9 8 8 8 8 9 10 9 8 8 9 9 10 11 11 9 8 8 9 9 9 10 10 10 9 7 6 8 10 10 10 10 9 9 11 11 nan
nan 11 12 12 12 12 12 12 13 15 18 21 19 17 13 11 9 8 7 8 9 10 11 12 13 14 14 13 13 13 13 12 11 10 10 10 11 11 12 12 12 11 9 8 8 7 8 8 9 9 10 10 9 9 8 8 8 7 6 5 5 6 7 7 7 6 5 5 5 5 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 9 9 8 8 8 8 9 9 9 8 8 8 9 10 11 11 10 9 9 8 9 9 10 10 10 9 7 7 8 9 10 10 9 9 9 11 11 nan
nan 13 14 14 14 14 14 14 14 16 19 20 18 16 13 10 9 8 9 10 10 11 12 12 13 12 12 11 11 11 12 12 12 13 13 14 14 14 14 14 13 11 10 9 9 8 8 8 9 10 10 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 5 4 4 4 5 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 8 9 9 10 9 8 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 9 8 9 9 10 11 10 9 8 9 9 9 10 10 9 9 10 11 11 nan
nan 13 14 14 14 14 14 14 15 18 20 19 17 14 12 10 10 10 11 12 12 13 13 13 13 12 12 11 11 12 13 14 14 14 15 15 15 14 13 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 6 7 7 8 8 8 8 8 7 6 5 5 5 5 5 7 8 10 10 10 10 9 9 10 10 9 9 9 9 9 9 10 10 9 8 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 10 11 11 11 10 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 13 13 13 13 13 13 14 15 16 18 18 16 14 12 11 11 12 13 13 13 13 13 13 13 13 12 12 13 13 14 15 15 15 15 14 13 12 10 9 9 8 9 9 10 11 12 12 12 11 11 12 12 12 11 9 8 7 7 8 9 9 9 8 7 7 7 7 7 6 6 6 6 7 8 9 9 8 7 8 9 9 9 9 9 9 9 10 10 10 9 8 7 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 10 11 11 11 10 10 10 10 10 11 12 11 11 10 10 10 11 10 10 10 10 11 10 nan
nan 12 12 12 12 12 12 13 13 13 13 14 14 14 12 11 12 12 13 14 14 14 13 13 13 12 12 12 13 13 14 14 15 15 14 13 11 10 9 9 9 9 10 11 12 13 14 14 14 13 13 13 12 12 11 10 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 9 8 8 8 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 7 8 9 10 10 10 10 9 9 9 10 11 12 12 11 10 10 10 11 11 10 10 10 10 10 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 12 13 13 14 14 14 14 13 12 11 11 12 12 12 13 13 13 13 12 11 10 9 9 9 10 11 12 13 13 13 13 12 12 12 11 11 10 9 9 9 9 8 8 8 8 7 7 8 8 8 9 9 9 8 7 6 5 5 6 7 8 7 7 7 7 7 8 8 8 9 9 9 9 8 9 9 8 7 6 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 11 12 12 11 10 10 10 10 10 10 9 9 9 8 nan
nan 10 11 11 11 11 12 12 12 12 13 12 12 11 10 10 11 11 12 13 14 15 15 14 13 12 11 11 11 11 12 12 12 12 11 11 10 10 9 8 8 9 11 12 12 11 11 10 9 9 9 9 8 6 6 6 7 8 8 8 8 8 8 8 8 9 9 10 9 9 9 8 6 5 5 6 7 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 10 9 8 8 8 8 9 9 9 9 9 9 8 9 10 11 12 11 10 9 8 8 8 9 9 8 8 8 nan
nan 10 10 11 11 12 12 12 12 12 12 12 12 11 10 10 10 11 12 13 14 15 15 15 13 12 12 11 11 12 12 11 11 11 11 10 10 10 9 7 7 8 10 10 10 9 7 6 6 6 7 7 6 5 4 5 6 7 7 7 8 8 8 9 9 10 10 10 9 9 8 8 6 5 5 6 7 8 8 7 6 6 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 8 10 11 10 9 8 7 6 7 8 9 9 8 8 nan
nan 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 11 11 12 13 13 14 15 14 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 5 4 4 5 6 6 5 5 5 6 6 6 7 7 8 8 9 9 9 10 9 9 8 8 8 7 6 5 5 6 8 9 9 8 7 6 7 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 8 9 10 10 9 9 9 9 9 8 8 8 8 9 8 8 8 9 8 8 8 8 8 9 9 9 9 8 7 7 8 9 10 10 10 9 nan
nan 10 10 11 11 12 12 13 13 12 12 11 11 11 11 10 11 11 12 13 13 14 14 13 13 11 10 10 10 10 10 10 9 9 9 10 10 10 11 11 10 9 7 6 6 6 6 5 5 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 6 6 5 6 8 9 9 8 7 7 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 10 10 10 10 nan
nan 10 10 10 11 12 13 13 13 12 12 12 11 11 10 10 11 11 13 13 13 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 7 5 4 5 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 5 6 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 10 9 9 10 10 10 10 10 9 8 8 8 8 8 8 9 9 10 10 10 11 12 12 11 10 9 9 9 9 9 nan
nan 10 10 10 11 12 12 13 13 12 12 12 11 11 10 10 10 11 12 13 13 13 12 12 11 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 7 6 5 5 6 8 9 9 8 7 7 7 8 9 10 10 10 10 9 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 13 13 12 11 10 10 10 11 11 11 11 10 10 9 9 9 9 8 8 9 9 10 10 11 12 13 13 11 10 8 8 8 8 8 nan
nan 10 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 8 7 6 6 7 8 10 11 12 12 11 10 10 9 8 8 7 7 7 7 7 7 8 7 7 7 8 10 10 10 10 11 12 13 13 13 14 14 13 13 14 14 14 13 13 13 12 12 12 12 12 12 13 13 13 12 12 10 9 10 11 11 11 11 10 10 10 10 9 8 8 8 8 9 9 10 11 11 12 12 10 9 8 7 7 8 8 nan
nan 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 8 8 9 10 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 12 12 11 11 11 11 12 12 12 13 13 13 13 13 14 14 13 13 12 12 11 10 10 10 10 10 11 12 13 12 10 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 11 11 10 9 8 8 8 9 9 nan
nan 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 10 11 11 11 11 11 10 10 11 12 12 11 10 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 10 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 9 9 8 8 8 10 11 13 14 13 11 9 8 9 9 9 9 9 10 10 9 9 9 9 9 9 8 7 7 8 9 10 10 9 9 9 10 10 10 9 nan
nan 12 11 12 12 12 11 11 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 12 13 13 12 10 10 9 9 9 10 10 10 9 8 8 7 7 7 6 6 6 7 8 8 8 9 9 10 10 10 10 11 12 12 11 10 10 9 9 8 8 9 9 9 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 12 13 13 12 10 8 8 8 9 9 9 8 9 9 9 9 10 10 10 9 8 7 6 6 8 9 9 9 9 10 11 11 10 9 nan
nan 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 11 12 12 13 13 12 12 11 11 11 11 11 10 10 9 9 8 8 7 7 6 6 7 8 9 10 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 11 10 10 10 11 11 11 10 9 8 8 9 9 10 9 9 9 9 8 8 9 9 9 9 8 7 6 6 7 8 9 9 9 10 10 10 10 9 nan
nan 11 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 10 10 11 11 11 11 11 12 11 11 10 10 10 9 9 10 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 12 12 12 11 11 10 10 9 8 8 8 9 10 11 12 12 12 11 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 8 7 8 8 8 9 8 7 7 7 7 8 8 8 9 10 10 9 9 9 nan
nan 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 10 9 9 8 8 8 9 9 9 9 9 9 8 9 9 10 10 10 11 11 10 10 10 11 12 13 13 13 12 11 10 10 10 10 11 12 12 13 13 12 11 9 8 8 8 7 7 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 7 7 7 8 9 9 8 8 9 9 9 9 9 8 7 7 8 8 8 8 9 8 8 7 8 9 9 9 9 9 8 nan
nan 10 11 11 12 12 13 13 13 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 10 12 13 14 14 13 12 11 11 11 12 13 12 12 12 11 10 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 10 8 6 7 7 8 8 8 8 8 9 10 10 10 9 9 8 8 7 7 8 9 9 8 7 7 8 9 9 10 9 9 8 nan
nan 10 10 10 11 12 12 13 13 13 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 8 8 9 9 9 9 9 10 9 9 8 7 7 7 7 7 8 10 12 14 15 15 13 12 11 11 12 12 12 11 11 10 10 9 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 12 11 9 7 7 8 8 8 8 8 9 9 10 10 10 9 9 9 9 8 7 8 9 9 8 7 7 8 9 10 11 10 10 10 nan
nan 10 9 9 10 10 11 11 12 12 12 12 11 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 8 8 7 7 8 9 9 9 10 9 9 10 9 8 8 7 8 8 8 8 9 10 11 12 13 14 13 12 12 11 11 11 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 11 12 12 11 9 8 8 8 8 8 7 8 9 9 9 9 8 9 10 10 10 9 9 10 11 10 9 8 8 8 9 10 11 11 11 10 nan
nan 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 11 11 11 10 9 9 9 9 8 8 7 8 8 9 9 8 8 8 9 10 10 10 10 11 11 11 10 8 8 8 9 10 10 11 10 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 9 10 10 10 11 11 10 10 10 9 8 7 7 7 8 9 10 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 11 11 10 9 9 9 9 8 8 7 8 8 9 9 8 8 9 9 9 10 10 10 10 10 10 9 8 8 8 9 9 9 10 10 9 nan
nan 10 11 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 7 6 6 5 5 6 7 8 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 8 9 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 10 10 10 10 10 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 10 11 11 11 12 11 11 11 11 11 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 5 5 4 5 6 7 9 10 11 11 11 11 11 11 12 11 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 9 9 10 10 11 10 11 11 10 9 9 9 9 10 10 10 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 nan
nan 10 10 10 10 9 10 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 10 10 11 11 12 12 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 6 7 7 7 7 6 5 4 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 11 10 9 8 9 10 11 10 9 9 9 8 7 7 8 8 9 9 9 9 10 9 9 8 8 8 8 9 9 10 nan
nan 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 6 5 4 5 6 8 8 9 8 8 7 7 7 7 8 8 7 7 7 6 6 6 5 5 4 4 4 5 5 6 6 7 8 8 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 8 9 9 9 9 10 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 8 7 7 8 8 8 8 7 7 7 7 6 6 6 5 4 5 6 8 9 8 8 8 7 6 6 7 7 6 6 5 5 4 4 4 3 3 3 3 4 5 6 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 8 7 7 6 5 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 9 9 9 9 10 10 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 5 4 3 3 4 5 7 8 8 7 7 6 6 6 6 6 6 5 4 3 2 2 2 3 3 4 5 6 7 9 10 11 11 11 11 11 10 9 9 8 8 9 9 9 9 8 9 9 9 8 8 7 6 6 5 5 4 4 2 1 2 4 6 7 8 8 8 8 8 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 10 10 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 6 6 6 6 6 6 6 7 8 8 8 9 9 9 9 10 10 9 8 7 6 5 5 4 3 2 2 3 4 6 7 7 7 6 5 5 5 6 6 6 5 4 3 2 2 3 4 6 7 9 10 11 12 12 12 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 3 2 1 2 3 4 5 5 5 6 7 7 8 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 12 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 9 10 10 10 10 11 10 10 9 7 6 4 4 3 3 2 2 4 5 6 7 7 7 6 6 5 5 5 6 6 6 6 5 5 5 6 8 9 10 12 13 14 14 13 12 10 9 9 8 8 8 7 7 7 7 6 6 6 6 5 5 4 4 3 3 2 2 2 3 4 5 7 8 9 10 10 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 10 11 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 8 7 6 5 3 2 1 1 2 2 3 4 5 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 9 10 11 12 13 13 14 14 13 12 10 9 8 8 7 7 7 7 6 6 6 6 5 5 5 5 4 4 3 2 1 2 3 5 7 8 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 10 11 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 5 4 3 2 1 -0 -1 -2 -2 -1 1 2 4 5 6 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 11 12 12 13 13 13 13 13 12 10 9 8 8 7 7 7 7 6 6 5 5 4 4 4 4 4 4 5 4 4 3 4 5 7 9 10 11 11 11 10 10 9 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 nan
nan 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 6 5 4 3 1 -1 -2 -3 -3 -3 -2 -1 0 2 3 5 6 6 7 7 7 7 7 7 7 8 8 9 9 10 10 11 11 11 11 12 12 13 13 13 12 12 11 10 9 8 8 7 7 7 7 7 6 5 5 4 4 4 4 5 5 5 6 6 6 6 7 8 9 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 5 5 4 3 3 2 1 -0 -1 -3 -3 -2 -1 1 3 5 7 8 8 9 9 8 8 8 7 7 7 8 8 9 9 10 10 11 11 12 12 12 12 12 12 12 11 10 9 9 8 8 8 7 7 7 7 7 7 6 6 5 4 5 5 6 6 7 7 8 8 8 8 9 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 nan
nan 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 5 5 4 3 2 2 1 1 1 1 0 0 0 1 3 5 7 8 9 10 11 11 11 10 9 9 9 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 12 11 10 9 8 7 7 7 7 7 7 7 6 6 6 6 5 5 6 6 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 5 5 4 3 3 2 2 2 2 2 2 2 3 3 4 5 7 9 11 11 11 11 11 11 11 10 10 9 9 8 9 9 9 9 10 10 11 11 11 11 12 12 12 11 11 10 10 9 9 8 7 7 6 6 7 7 6 6 5 5 5 5 6 7 7 8 9 10 10 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 4 3 3 3 3 3 3 4 5 5 6 6 7 8 8 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 7 7 7 7 7 6 5 5 4 4 5 6 8 8 9 9 9 9 9 9 8 8 8 8 9 9 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 9 9 9 9 9 9 10 10 9 9 10 10 10 10 11 11 nan
nan 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 5 6 6 7 8 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 6 6 5 4 4 5 6 8 9 10 9 9 8 8 8 8 8 8 8 8 8 9 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 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 nan
nan 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 6 7 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 5 4 4 4 4 6 7 9 11 11 11 10 9 8 8 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 4 5 5 5 4 4 4 5 7 9 11 12 12 12 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 11 12 13 12 12 11 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 nan
nan 9 8 8 7 7 7 7 8 8 9 9 8 7 7 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 7 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 7 7 8 10 11 12 13 13 13 14 13 12 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1678 1700 1694 1656 1606 1569 1563 1593 1655 1717 1763 1779 1769 1743 1711 1686 1648 1601 1571 1559 1551 1541 1533 1532 1532 1528 1600 1641 1655 1656 1642 1628 1649 1651 1577 1564 1575 1577 1573 1586 1640 1694 1687 1659 1676 1733 1796 1830 1795 1792 1817 1863 1929 2022 2149 2262 2268 2215 2338 2384 2450 2531 2590 2614 2623 2610 2589 2584 2585 2585 2582 2564 2521 2465 2349 2274 2255 2257 2262 2273 2294 2302 2261 2202 2144 2093 2032 1947 1841 1734 1642 1578 1532 1504 1491 1485 1490 1524 1591 1654 1708 1678 1633 1610 1620 1667 1747 1942 2010 1748 1593 1606 1731 1871 1871 1666 1382 1118 928 850 742 526 437 365 290 242 209 191 189 228 347 450 401 348 329
1671 1675 1663 1626 1580 1554 1564 1601 1646 1689 1724 1724 1739 1776 1769 1683 1605 1570 1551 1537 1521 1507 1499 1493 1484 1506 1577 1620 1641 1659 1685 1717 1748 1739 1656 1638 1650 1660 1664 1668 1690 1748 1766 1734 1731 1770 1831 1886 1873 1874 1936 2042 2161 2270 2349 2375 2359 2395 2485 2533 2585 2626 2647 2652 2646 2627 2610 2606 2596 2580 2554 2519 2482 2452 2407 2382 2396 2403 2390 2357 2312 2286 2224 2176 2137 2096 2032 1935 1816 1707 1630 1589 1556 1527 1503 1477 1464 1508 1593 1660 1689 1673 1638 1607 1596 1615 1670 1693 1776 1746 1688 1710 1841 1989 1995 1752 1426 1121 879 696 533 400 332 280 226 191 169 154 147 175 296 377 305 260 240
1702 1670 1629 1592 1568 1566 1586 1615 1652 1749 1785 1782 1814 1877 1891 1826 1717 1601 1557 1531 1503 1479 1468 1467 1490 1537 1602 1650 1678 1712 1764 1799 1813 1788 1744 1737 1749 1755 1745 1741 1785 1872 1860 1854 1850 1860 1895 1945 1992 2038 2146 2285 2406 2486 2521 2520 2511 2537 2605 2649 2674 2688 2690 2682 2674 2662 2629 2585 2553 2529 2502 2476 2475 2491 2479 2487 2513 2509 2470 2403 2305 2246 2232 2222 2187 2151 2094 1997 1869 1740 1663 1618 1580 1541 1502 1461 1444 1535 1630 1670 1675 1665 1658 1673 1713 1741 1779 1789 1825 1803 1766 1812 1973 2127 2101 1776 1427 1129 883 676 508 376 286 229 197 175 156 138 125 131 188 224 210 210 221
1726 1668 1618 1581 1578 1601 1625 1647 1699 1801 1858 1893 1937 1985 2003 1959 1847 1664 1594 1553 1520 1503 1509 1528 1561 1609 1662 1696 1716 1766 1820 1782 1832 1826 1819 1830 1841 1837 1819 1814 1856 1953 1980 2003 1995 1986 2022 2112 2235 2335 2415 2501 2571 2611 2619 2601 2588 2615 2660 2691 2713 2720 2708 2690 2682 2678 2625 2554 2509 2491 2486 2496 2534 2575 2569 2580 2571 2530 2456 2358 2277 2271 2323 2362 2381 2341 2242 2118 1982 1844 1745 1672 1606 1547 1493 1461 1491 1603 1684 1708 1707 1701 1713 1752 1803 1810 1857 1884 1879 1837 1832 1951 2163 2243 2053 1712 1412 1153 901 655 452 311 254 211 185 159 134 116 104 100 171 168 157 158 166
1732 1685 1652 1615 1612 1640 1661 1683 1734 1816 1897 1967 2030 2081 2105 2084 1976 1761 1663 1605 1568 1553 1563 1592 1632 1670 1712 1748 1776 1796 1813 1839 1861 1883 1904 1925 1944 1944 1920 1900 1922 2013 2055 2089 2109 2136 2208 2344 2496 2558 2564 2595 2645 2669 2660 2647 2608 2610 2631 2646 2677 2700 2698 2684 2668 2654 2601 2550 2525 2521 2526 2545 2590 2640 2657 2651 2599 2523 2449 2381 2329 2359 2456 2484 2496 2453 2345 2220 2093 1963 1830 1705 1606 1539 1497 1483 1547 1640 1713 1754 1769 1758 1763 1831 1900 1925 1938 1930 1900 1894 1985 2168 2280 2140 1877 1637 1421 1199 948 684 507 372 298 241 188 141 106 93 83 79 123 122 113 106 101
1727 1704 1679 1660 1661 1674 1686 1706 1754 1835 1923 2006 2083 2142 2176 2178 2031 1854 1744 1677 1640 1627 1638 1678 1745 1770 1785 1804 1810 1826 1864 1890 1917 1951 1982 2005 2016 2006 1981 1972 2007 2106 2144 2166 2199 2268 2389 2555 2696 2711 2683 2682 2703 2706 2681 2657 2620 2611 2604 2589 2609 2640 2650 2646 2635 2618 2594 2586 2598 2609 2601 2598 2647 2706 2740 2712 2625 2524 2450 2398 2356 2479 2612 2691 2697 2618 2474 2334 2219 2064 1859 1709 1604 1543 1520 1514 1571 1657 1735 1775 1768 1763 1809 1884 1934 1939 1935 1912 1901 1978 2148 2265 2136 1848 1615 1466 1334 1173 964 695 563 465 359 271 198 131 82 89 84 74 74 78 80 73 58
1756 1728 1709 1698 1696 1696 1703 1728 1784 1867 1955 2039 2117 2182 2219 2201 2083 1934 1834 1782 1767 1781 1824 1891 1951 1928 1879 1885 1889 1882 1893 1926 1974 2031 2066 2084 2075 2039 2004 2013 2026 2089 2144 2201 2293 2426 2581 2733 2836 2799 2764 2748 2744 2737 2717 2696 2680 2664 2629 2582 2561 2560 2561 2576 2584 2588 2607 2648 2692 2708 2690 2679 2726 2783 2798 2746 2651 2554 2488 2464 2508 2628 2712 2787 2818 2757 2619 2480 2363 2176 1955 1807 1700 1626 1604 1643 1751 1712 1782 1819 1815 1820 1845 1873 1883 1898 1902 1866 1895 2035 2219 2257 2023 1691 1421 1286 1209 1094 919 702 540 411 326 267 221 175 130 139 119 87 74 80 80 61 51
1802 1763 1739 1727 1720 1722 1737 1772 1831 1905 1989 2075 2159 2233 2277 2261 2164 2039 1956 1924 1935 1977 2043 2107 2120 2064 1988 1961 1949 1946 1970 2018 2065 2106 2117 2121 2102 2065 2036 2040 2082 2200 2320 2413 2541 2691 2805 2883 2918 2874 2824 2789 2770 2758 2745 2737 2740 2730 2695 2641 2594 2564 2548 2556 2580 2613 2660 2730 2789 2809 2803 2802 2823 2837 2820 2771 2704 2634 2582 2588 2645 2716 2787 2834 2821 2757 2687 2604 2499 2316 2154 1987 1847 1764 1722 1757 1862 1793 1828 1854 1842 1833 1845 1856 1887 1928 1861 1899 2038 2187 2325 2351 2120 1726 1359 1176 1119 1037 901 722 573 472 383 321 290 269 235 208 176 154 166 188 170 102 64
1854 1803 1773 1756 1753 1765 1796 1843 1905 1970 2051 2145 2241 2319 2359 2342 2262 2159 2097 2087 2127 2211 2316 2390 2384 2292 2168 2065 2015 2009 2023 2049 2096 2153 2190 2182 2145 2108 2096 2116 2155 2242 2383 2538 2740 2908 2955 2972 2944 2897 2846 2806 2787 2783 2781 2787 2797 2799 2782 2742 2708 2694 2687 2673 2688 2729 2780 2844 2899 2929 2939 2945 2938 2900 2851 2812 2779 2741 2711 2751 2819 2862 2883 2873 2818 2756 2743 2701 2636 2435 2164 1928 1846 1874 1793 1790 1840 1853 1900 1939 1948 1957 2039 2237 2310 2457 2533 2517 2471 2461 2458 2387 2100 1713 1349 1143 1090 1029 919 784 699 614 542 484 442 400 329 269 234 213 204 191 159 127 105
1915 1866 1832 1811 1807 1825 1866 1929 2009 2092 2174 2273 2380 2464 2496 2462 2379 2300 2266 2298 2390 2511 2619 2675 2614 2534 2393 2233 2120 2084 2103 2134 2191 2241 2267 2249 2224 2215 2221 2230 2263 2359 2501 2597 2780 2978 3025 2999 2952 2908 2870 2838 2822 2819 2818 2823 2838 2851 2855 2843 2832 2836 2849 2847 2847 2862 2892 2931 2972 3007 3031 3048 3050 3009 2928 2864 2833 2822 2832 2888 2954 2968 2935 2889 2856 2825 2781 2793 2740 2522 2196 1976 1949 1990 1906 1920 1963 2040 2140 2246 2368 2558 2886 3117 2939 2827 2801 2775 2700 2591 2430 2269 1982 1639 1304 1068 980 971 924 816 751 755 730 659 614 578 516 420 356 302 249 196 141 103 86
2018 1957 1914 1889 1884 1903 1951 2032 2132 2235 2332 2434 2533 2608 2632 2597 2530 2466 2472 2540 2627 2734 2845 2893 2842 2740 2609 2451 2315 2241 2234 2273 2301 2348 2370 2368 2354 2339 2347 2424 2551 2711 2864 2976 3057 3098 3076 3009 2953 2907 2901 2886 2863 2843 2829 2821 2830 2853 2879 2898 2912 2926 2938 2945 2944 2946 2960 2980 3003 3027 3061 3109 3152 3122 3021 2912 2848 2842 2872 2923 2975 2974 2941 2919 2910 2884 2867 2835 2782 2639 2494 2365 2236 2163 2136 2185 2281 2360 2421 2503 2644 2832 2939 3164 3098 2935 2788 2694 2639 2581 2383 2195 1910 1551 1178 881 737 683 679 693 672 660 685 722 755 756 765 680 582 480 361 234 145 111 85
2151 2078 2020 1989 1983 2003 2052 2135 2238 2359 2491 2609 2700 2759 2772 2733 2675 2611 2677 2754 2828 2910 2992 3035 3009 2909 2804 2671 2518 2410 2379 2373 2397 2450 2481 2510 2558 2609 2671 2816 2963 3100 3213 3259 3251 3195 3093 2991 2907 2849 2860 2872 2848 2795 2752 2740 2771 2808 2838 2868 2906 2944 2970 2968 2957 2950 2960 2985 3016 3035 3041 3068 3092 3056 2973 2882 2823 2805 2804 2807 2834 2833 2810 2793 2779 2738 2717 2781 2805 2684 2561 2466 2360 2328 2223 2073 2126 2183 2169 2162 2270 2466 2699 2809 2829 2761 2641 2521 2443 2424 2285 2126 1890 1568 1202 890 782 745 743 697 660 672 739 849 929 906 912 848 757 659 506 258 209 172 138
2291 2226 2158 2124 2118 2138 2192 2280 2393 2527 2664 2788 2870 2911 2905 2862 2844 2816 2859 2912 2971 3037 3093 3111 3065 2973 2935 2840 2699 2577 2518 2515 2530 2561 2614 2691 2809 2929 3025 3160 3261 3329 3346 3331 3276 3169 3021 2874 2692 2640 2707 2733 2685 2612 2549 2529 2557 2606 2646 2683 2726 2775 2815 2818 2787 2766 2779 2825 2868 2870 2864 2823 2784 2754 2745 2744 2731 2692 2621 2559 2510 2447 2412 2418 2443 2472 2553 2671 2728 2647 2525 2441 2387 2362 2130 1805 1669 1565 1454 1421 1497 1622 1771 1935 2066 2104 2029 1884 1771 1792 1794 1800 1758 1638 1442 1214 1169 1098 995 907 866 864 908 1049 1061 982 915 845 773 704 635 489 429 323 225
2409 2368 2313 2281 2276 2304 2373 2483 2617 2742 2841 2943 3010 3033 3013 2971 2964 2977 3002 3025 3058 3100 3134 3136 3103 3065 3042 2952 2829 2730 2683 2671 2674 2724 2828 2982 3168 3292 3296 3305 3292 3272 3199 3094 3003 2925 2788 2511 2107 2158 2327 2377 2298 2200 2138 2105 2082 2106 2181 2231 2239 2259 2310 2351 2329 2313 2346 2425 2498 2501 2458 2366 2314 2334 2406 2475 2484 2421 2288 2171 2045 1939 1895 1928 2014 2116 2283 2402 2448 2417 2342 2270 2222 2115 1886 1565 1344 1158 981 894 891 913 945 1050 1161 1208 1161 1040 935 973 1098 1323 1506 1562 1525 1427 1391 1329 1230 1122 1052 1014 999 1073 1009 914 831 753 666 578 531 458 392 332 263
2502 2475 2442 2421 2427 2474 2565 2692 2831 2941 2999 3076 3129 3140 3117 3085 3073 3088 3100 3102 3116 3146 3170 3168 3152 3141 3102 3036 2955 2874 2808 2777 2813 2925 3082 3250 3361 3375 3309 3221 3152 3031 2799 2545 2449 2487 2364 1948 1361 1409 1614 1684 1612 1526 1481 1453 1430 1428 1480 1502 1464 1443 1488 1564 1598 1620 1688 1784 1838 1808 1751 1706 1697 1745 1858 1984 2032 1984 1876 1736 1573 1440 1393 1450 1573 1702 1894 2044 2071 2006 1909 1825 1760 1644 1467 1264 1103 940 757 636 608 625 623 640 622 560 513 516 547 604 769 1035 1245 1304 1301 1257 1199 1129 1055 982 930 907 900 865 800 731 663 592 515 449 413 390 365 326 272
2570 2563 2545 2539 2564 2634 2753 2898 3033 3120 3138 3196 3236 3243 3220 3188 3168 3170 3171 3162 3164 3186 3205 3201 3208 3189 3156 3133 3106 3057 2991 2951 3029 3181 3314 3400 3401 3322 3208 3123 3035 2855 2487 2105 1996 2062 1830 1377 960 848 839 839 824 802 795 792 811 797 781 755 715 687 718 796 868 927 1023 1122 1142 1083 1059 1078 1126 1193 1314 1471 1566 1583 1502 1348 1165 1005 927 962 1078 1202 1390 1524 1549 1467 1332 1205 1100 1025 922 818 712 600 505 452 436 474 518 532 459 319 247 316 475 600 751 919 1032 1040 986 912 837 753 690 662 652 647 646 623 577 511 440 378 330 317 318 335 341 317 274
2598 2621 2638 2657 2696 2776 2898 3037 3155 3225 3240 3282 3311 3312 3283 3240 3208 3219 3224 3215 3215 3231 3253 3266 3262 3243 3241 3267 3305 3324 3296 3239 3318 3409 3459 3452 3386 3285 3186 3102 2985 2795 2528 2282 2038 1708 1256 833 566 413 336 304 302 319 332 337 350 327 301 284 269 261 291 345 414 487 585 679 701 637 615 653 745 844 966 1117 1231 1288 1231 1049 815 604 486 498 573 625 706 789 831 806 727 634 542 504 468 426 373 323 291 273 250 276 349 433 466 434 427 468 574 682 783 857 882 843 744 642 542 456 403 384 388 404 424 411 369 310 258 228 207 199 208 249 273 269 251
2726 2700 2738 2779 2826 2902 3005 3119 3218 3282 3315 3346 3369 3379 3364 3315 3250 3240 3258 3261 3271 3290 3310 3323 3333 3347 3370 3424 3494 3532 3516 3486 3533 3554 3531 3472 3393 3311 3234 3144 2996 2727 2389 1987 1530 1055 635 369 255 183 143 118 106 113 118 114 107 96 91 92 92 97 113 135 180 242 325 419 485 468 425 418 454 511 607 761 918 998 958 765 540 357 253 248 277 264 207 190 216 256 279 270 239 226 212 189 154 113 83 89 87 91 139 232 342 431 496 531 634 736 801 811 766 695 542 397 283 204 163 155 176 206 227 225 206 185 171 161 146 137 137 182 247 283 273
2891 2863 2882 2916 2955 3017 3090 3169 3248 3313 3365 3405 3441 3475 3483 3441 3355 3306 3320 3341 3368 3402 3433 3453 3465 3486 3518 3578 3639 3661 3642 3629 3656 3656 3591 3508 3428 3357 3283 3157 2934 2558 2070 1534 1011 568 281 168 150 123 94 69 51 42 37 33 31 28 25 25 27 31 33 36 52 84 135 204 278 304 240 212 214 229 264 340 477 598 592 470 329 222 157 140 151 138 92 50 35 52 85 103 105 102 88 66 42 19 4 2 7 11 26 69 149 246 346 422 531 643 710 690 574 414 238 135 81 57 49 52 68 100 119 131 136 132 120 99 78 80 90 132 192 236 248
2542 2764 2900 3008 3074 3122 3156 3188 3229 3273 3331 3421 3509 3583 3614 3583 3508 3455 3462 3490 3521 3548 3570 3592 3614 3631 3646 3694 3728 3727 3703 3687 3724 3729 3641 3546 3451 3348 3218 2986 2660 2202 1666 1137 701 406 243 179 149 115 79 48 26 14 8 7 6 5 5 5 5 5 5 5 7 15 29 56 103 120 114 105 99 95 91 89 140 221 236 208 165 123 84 64 63 59 52 37 25 24 30 34 37 34 24 13 4 1 0 0 0 0 2 13 43 94 175 246 333 433 498 459 312 156 59 21 10 9 9 11 21 46 62 72 76 70 59 46 27 22 35 67 113 164 189
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