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 4 7 9 9 10 10 10 10 9 9 9 9 9 10 11 12 11 11 10 9 10 11 12 13 12 9 7 7 7 7 8 10 11 10 9 8 8 8 9 10 11 11 11 9 8 7 7 7 6 7 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 6 5 6 7 7 7 7 8 9 9 8 8 7 7 7 7 8 9 10 10 10 10 10 10 11 11 10 10 9 9 8 8 8 8 8 7 6 6 6 7 8 9 11 11 10 8 6 6 7 9 11 11 9 7 6 6 7 9 9 10 10 11 11 11 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 nan
nan 5 6 7 7 8 9 9 9 8 8 8 8 8 9 10 11 11 11 10 9 9 10 12 13 12 9 8 8 7 8 9 10 12 12 10 9 9 10 11 12 12 12 12 11 10 9 8 8 8 8 9 10 10 10 10 9 8 8 8 7 7 7 7 8 9 9 10 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 9 9 9 8 8 9 10 11 10 10 9 9 8 7 6 6 6 6 7 7 7 8 9 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 8 7 7 7 7 7 9 10 11 10 7 5 5 6 9 10 9 6 4 4 5 6 7 7 8 10 11 12 11 10 10 11 10 10 10 11 11 10 10 10 10 9 9 9 10 10 9 9 8 8 7 7 nan
nan 6 5 5 5 6 7 7 7 7 7 7 7 8 9 10 10 11 11 11 10 9 10 11 12 12 10 10 9 9 9 9 9 11 11 10 9 9 10 11 12 12 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 11 10 10 9 9 8 8 8 9 11 12 12 12 12 11 11 11 11 12 12 11 11 11 11 10 10 9 9 10 10 10 10 10 9 10 10 10 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 8 9 9 9 10 10 10 10 11 10 10 10 10 10 9 8 7 6 5 6 6 7 8 8 8 8 7 7 7 9 10 10 8 6 4 4 6 9 9 7 6 5 5 6 6 6 7 7 9 10 11 11 10 11 11 11 11 12 12 11 10 10 10 10 9 9 10 9 9 9 9 9 8 7 6 nan
nan 6 5 5 5 5 5 5 6 6 6 6 6 7 8 9 10 10 11 10 10 10 11 11 12 12 11 10 10 11 10 9 8 8 8 8 8 8 9 10 10 11 10 10 11 12 12 11 11 10 10 9 9 10 11 13 15 14 13 12 12 11 10 9 9 9 10 11 12 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 10 11 11 11 11 11 11 11 11 10 10 10 9 8 8 8 9 10 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 8 6 6 6 6 7 7 8 8 8 8 7 7 7 8 9 9 7 4 3 5 7 8 8 7 7 7 8 8 8 7 6 6 7 8 9 9 10 10 10 10 11 12 12 11 10 10 10 10 10 10 10 9 8 8 8 8 7 6 6 nan
nan 6 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 9 9 10 11 11 11 11 11 12 11 11 10 10 10 9 9 8 7 7 7 7 8 8 10 11 10 9 10 11 12 12 11 10 10 9 9 9 10 12 14 14 14 14 13 13 12 11 10 9 8 9 10 11 11 11 10 9 8 8 7 7 8 8 9 10 10 12 13 13 13 12 12 11 10 10 11 11 12 12 12 13 14 14 13 12 11 11 10 11 11 12 12 13 14 14 13 13 13 12 11 10 9 10 11 11 10 10 10 9 8 7 7 7 7 7 7 8 7 8 8 8 8 8 8 9 8 6 4 5 7 8 8 7 7 7 8 9 11 10 8 7 6 6 6 7 7 8 8 8 8 9 11 12 12 11 11 10 10 10 11 10 9 8 7 8 8 7 6 6 nan
nan 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 7 7 7 9 11 10 9 9 11 12 12 12 11 10 10 10 9 10 11 12 13 13 13 13 13 12 11 11 10 8 7 8 9 9 9 9 8 7 7 6 6 6 7 8 8 9 11 12 12 11 11 10 10 10 10 11 11 11 11 12 14 15 15 14 14 13 12 12 12 12 13 13 14 13 12 11 11 11 11 10 10 9 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 7 7 8 9 9 8 7 7 7 8 10 12 11 10 8 7 6 5 5 6 7 7 7 7 7 9 11 12 12 12 11 10 11 11 10 9 8 7 7 8 7 7 7 nan
nan 5 5 5 5 6 7 7 6 6 6 5 5 5 4 4 5 6 7 8 9 9 10 9 9 10 10 10 8 7 7 8 9 9 9 9 8 7 7 7 8 9 8 8 9 10 12 13 13 11 10 10 10 9 9 10 11 11 11 11 12 11 10 10 11 10 8 7 7 8 8 8 8 7 7 6 6 6 7 7 8 8 8 9 10 10 10 9 10 10 10 11 11 11 11 12 13 14 15 15 15 14 14 13 13 12 12 12 13 14 12 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 11 11 11 10 8 7 7 8 10 11 11 11 10 9 7 6 6 6 6 7 7 7 7 9 10 11 11 11 11 11 11 11 10 9 8 7 7 7 8 8 7 nan
nan 5 4 4 4 5 6 6 6 6 5 5 6 5 5 5 5 6 6 7 7 7 8 8 8 8 9 9 8 7 7 7 8 8 8 8 8 7 7 6 7 7 7 7 8 10 11 12 13 11 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 8 9 9 9 9 10 11 11 11 10 10 10 10 11 11 12 13 13 14 14 14 14 14 14 14 13 12 11 11 12 13 14 13 11 9 8 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 6 5 5 6 6 7 8 8 7 7 8 10 12 12 12 11 9 8 7 6 7 8 9 9 9 10 10 9 8 7 7 7 8 8 8 8 9 9 9 9 10 10 11 11 11 10 9 8 7 7 7 7 8 8 nan
nan 5 4 4 4 5 5 6 6 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 8 7 7 6 6 6 6 7 8 9 10 11 11 10 8 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 7 7 7 6 6 7 7 7 7 7 7 8 9 10 11 12 13 13 13 12 11 10 10 10 9 10 10 11 11 12 12 12 13 13 13 12 12 12 11 11 11 12 13 12 11 10 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 7 7 7 7 6 4 4 4 5 7 7 6 5 5 6 9 11 11 10 9 9 8 7 6 6 7 6 6 7 8 10 11 10 9 8 8 9 9 8 8 9 9 8 8 8 9 11 12 11 10 9 8 8 7 7 7 8 8 nan
nan 6 5 5 5 5 6 6 5 5 4 4 5 6 7 7 6 6 6 5 5 5 4 4 4 5 6 7 8 8 8 8 8 7 7 7 8 7 7 7 7 7 8 8 8 8 9 10 10 9 8 7 6 6 6 5 5 5 4 4 5 5 5 5 5 6 6 7 7 7 7 7 7 7 8 7 7 7 8 9 10 11 13 14 13 12 12 11 11 10 9 8 8 8 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 12 11 11 10 9 9 8 8 7 6 6 7 7 6 5 5 6 7 8 7 5 4 5 8 11 10 8 8 9 9 8 6 6 6 6 5 6 7 10 13 13 11 9 8 9 9 8 7 7 7 7 8 8 9 11 12 11 10 8 8 8 8 8 8 8 8 nan
nan 6 5 5 5 6 6 6 6 5 5 4 5 5 5 6 6 6 5 5 5 4 4 3 3 4 6 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 9 9 8 7 7 7 7 7 6 5 4 4 4 5 5 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 11 11 11 10 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 12 11 10 10 10 9 8 7 7 8 9 9 8 8 8 8 8 6 5 4 5 8 10 10 9 10 10 10 9 7 7 8 8 7 7 8 11 13 13 11 9 8 9 9 7 6 5 5 6 8 8 9 10 11 11 10 8 8 8 9 9 9 9 9 nan
nan 7 6 6 5 5 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 4 3 3 3 5 7 9 10 10 10 9 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 8 7 6 5 4 5 6 6 7 7 7 8 8 9 9 9 9 9 9 9 8 9 10 10 11 11 11 10 9 9 9 10 10 10 9 9 10 10 11 11 11 10 9 9 10 10 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 10 10 10 12 12 13 13 12 11 11 11 11 11 10 10 10 12 12 12 11 10 9 7 6 5 4 5 7 10 11 11 11 12 12 10 10 11 11 12 11 10 10 11 11 11 10 9 8 8 8 7 6 5 4 5 7 8 8 9 10 10 10 9 9 9 9 9 10 10 9 nan
nan 8 7 6 6 5 5 6 6 5 5 4 4 3 3 3 4 5 5 5 5 5 4 4 6 7 9 10 11 11 10 9 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 8 8 9 8 8 8 8 8 7 6 6 6 6 7 8 8 7 8 8 9 9 9 9 9 9 9 9 8 9 11 12 12 12 11 10 9 9 9 9 9 8 8 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 10 10 10 10 11 11 11 11 10 11 11 12 12 12 12 12 13 13 13 12 10 8 7 7 7 6 6 6 7 8 10 11 12 13 13 13 13 14 15 14 13 12 11 10 9 8 7 7 7 8 7 7 6 4 4 5 7 8 9 9 10 10 10 10 9 8 8 8 8 8 nan
nan 8 7 7 6 6 5 6 6 6 5 5 4 3 2 3 4 5 5 6 6 6 6 7 8 9 10 10 10 10 10 9 8 7 8 8 8 8 8 8 7 6 6 6 7 7 7 8 8 9 9 8 8 8 8 8 8 8 7 7 8 9 9 8 7 7 8 10 10 9 9 9 9 9 9 8 9 11 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 10 9 9 9 10 10 11 11 12 12 12 11 12 12 11 9 8 8 8 9 8 7 6 5 6 8 10 11 12 13 13 13 13 13 14 13 13 12 11 9 8 7 6 7 7 7 7 7 6 4 4 5 6 8 9 10 10 10 10 8 7 7 7 7 7 nan
nan 8 8 7 7 7 7 6 6 6 6 5 5 4 3 3 3 4 6 7 7 8 8 8 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 9 10 11 9 8 8 9 9 9 9 11 13 13 13 12 11 9 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 9 9 9 10 10 11 10 10 10 10 11 10 9 8 8 9 9 9 8 7 6 6 7 9 10 10 10 11 11 11 11 11 11 12 12 11 9 8 7 7 7 7 7 8 8 7 6 5 4 5 7 9 11 11 11 9 8 6 6 6 7 7 nan
nan 9 8 8 8 8 8 8 7 7 7 6 6 5 5 4 4 5 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 10 9 9 7 7 7 7 7 7 7 7 9 10 10 9 8 8 8 9 10 11 13 14 14 13 11 10 10 10 10 8 7 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 8 8 8 8 9 9 8 8 7 7 8 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 7 7 6 6 5 6 8 9 10 9 8 7 6 6 6 7 8 nan
nan 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 6 7 8 9 9 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 9 8 6 6 6 7 7 7 7 7 8 9 9 8 8 7 8 9 10 11 13 13 13 11 10 9 10 12 11 9 7 6 6 8 8 9 8 8 7 7 7 8 9 9 9 10 9 9 8 8 8 8 8 8 7 7 8 8 9 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 6 5 5 6 6 7 8 nan
nan 10 9 9 9 10 11 11 12 12 12 12 11 11 10 9 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 9 10 10 9 8 7 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 10 11 10 8 7 6 6 7 7 6 6 7 7 7 8 8 8 8 7 8 8 9 11 11 11 11 10 9 7 8 9 9 7 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 10 10 10 9 8 8 7 7 8 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 8 7 7 7 8 9 8 6 5 5 4 3 4 4 5 6 8 nan
nan 10 9 10 11 12 13 14 15 16 16 16 15 14 13 11 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 8 7 6 5 5 6 7 8 8 8 8 9 9 9 9 9 9 9 9 10 9 7 6 7 7 8 8 7 6 6 6 7 7 7 7 7 7 8 8 8 9 10 10 10 10 8 7 6 6 5 5 5 5 5 5 5 6 6 6 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 9 9 9 8 7 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 11 11 11 11 11 10 10 9 7 7 7 7 7 8 8 9 10 10 10 10 11 11 11 11 10 9 8 7 6 7 8 9 9 8 6 4 3 2 2 2 3 5 7 nan
nan 11 11 11 12 13 15 15 16 16 16 17 16 15 14 12 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 9 9 9 8 7 7 7 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 6 6 5 5 6 6 6 5 5 5 5 5 6 7 8 8 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 10 10 9 9 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 11 12 12 11 11 10 9 8 7 7 7 7 7 8 9 9 9 9 10 10 10 11 11 10 9 8 6 6 7 9 9 9 8 6 4 3 3 3 3 5 6 nan
nan 12 12 12 13 13 14 14 14 14 14 15 14 14 13 12 10 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 6 6 6 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 8 10 10 10 9 8 7 7 7 7 7 6 6 7 7 7 7 7 8 9 9 8 8 8 8 8 8 7 7 7 7 6 6 5 5 5 5 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 7 6 6 7 7 7 8 9 10 10 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 10 10 9 9 8 7 7 7 7 7 8 8 8 8 9 9 9 10 10 11 10 9 8 7 7 8 9 10 10 8 7 6 5 5 5 5 6 nan
nan 13 12 12 11 11 11 11 12 12 13 13 13 13 12 11 10 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 8 9 10 9 9 8 7 7 7 7 7 7 7 6 6 6 7 7 8 9 9 8 8 9 9 9 9 9 8 8 7 7 7 6 6 5 5 5 6 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 10 9 9 9 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 10 10 9 9 8 7 6 6 6 nan
nan 11 11 9 9 9 9 9 10 10 11 11 11 11 12 11 9 7 7 8 8 8 8 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 10 11 12 12 12 11 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 8 8 9 9 9 8 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 11 10 10 9 8 7 7 nan
nan 10 9 7 7 7 7 7 8 8 8 8 8 9 10 10 8 6 7 7 8 8 7 7 6 5 5 6 7 7 7 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 7 7 7 8 8 9 10 10 9 8 7 7 7 7 7 7 7 6 6 6 7 9 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 12 11 11 10 9 9 10 10 10 11 11 12 12 12 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 9 9 8 9 9 9 8 8 8 8 8 9 10 10 10 9 8 8 8 8 nan
nan 9 8 7 6 7 7 6 6 6 6 6 6 7 9 9 7 6 7 7 7 7 6 6 5 5 5 6 7 7 7 7 7 7 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 11 10 10 10 11 11 12 11 11 10 9 9 8 8 8 7 7 6 6 7 7 8 9 9 10 9 8 7 7 7 7 7 7 7 7 6 6 7 8 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 10 11 12 11 11 11 11 11 10 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 8 8 8 7 8 8 9 10 9 8 7 7 7 7 7 nan
nan 8 7 6 7 7 6 6 5 5 5 5 5 6 8 8 7 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 14 14 13 13 11 10 10 10 11 12 12 12 11 10 10 9 9 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 10 10 10 9 9 8 7 8 8 9 10 10 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 9 8 7 6 6 7 7 nan
nan 8 7 7 7 7 7 6 6 6 6 5 5 6 8 8 8 7 6 6 5 5 5 5 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 11 11 10 9 10 12 13 13 13 14 14 14 13 11 10 11 11 12 12 12 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 6 5 6 8 10 10 10 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 9 8 7 7 7 7 8 9 9 8 6 6 7 8 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 9 10 9 8 8 7 7 7 7 nan
nan 9 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 7 7 6 6 5 5 6 7 7 7 7 7 8 9 9 9 8 8 8 8 7 7 7 8 10 10 10 10 10 10 11 12 12 11 10 10 11 12 13 13 13 14 14 13 12 12 12 12 12 11 11 10 10 10 10 10 10 9 8 8 9 10 10 10 10 9 9 9 9 8 8 9 8 8 8 8 8 8 7 6 6 6 8 10 11 11 10 9 9 9 9 9 10 9 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 8 7 7 7 7 8 8 9 8 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 8 9 9 8 nan
nan 11 10 10 9 9 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 6 7 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 7 8 9 10 10 11 10 10 10 11 12 12 11 10 10 10 11 11 12 13 13 13 12 12 12 12 12 10 10 9 9 10 11 11 11 10 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 nan
nan 12 11 11 10 10 9 9 8 8 7 7 6 6 7 8 9 8 7 8 8 9 9 9 9 10 10 10 9 8 8 9 9 9 9 9 9 8 8 8 9 9 10 11 10 10 10 10 11 10 10 9 9 9 9 9 10 11 12 12 12 12 12 11 11 9 9 9 9 10 10 10 10 9 9 9 10 11 11 12 12 11 11 10 9 9 9 9 9 8 8 8 8 8 8 7 8 8 9 9 8 9 9 9 9 10 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 11 12 11 11 11 11 10 9 9 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 9 10 10 10 9 8 7 8 8 8 8 9 9 9 nan
nan 12 11 10 10 10 9 9 9 8 7 7 6 5 6 7 8 8 8 9 10 10 10 10 9 9 9 9 9 7 7 7 8 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 8 9 10 11 11 11 11 11 11 11 10 10 10 10 10 9 8 8 8 8 9 10 11 12 13 12 11 11 11 10 10 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 9 9 8 8 9 8 8 7 7 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 11 10 9 8 8 8 8 9 10 10 10 9 8 7 6 6 6 7 8 8 8 nan
nan 11 10 10 9 9 9 9 9 8 8 7 6 5 5 6 7 7 8 9 10 10 10 10 9 9 10 11 11 10 8 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 7 7 8 9 9 10 10 10 10 11 12 12 11 11 10 9 9 8 7 7 8 8 9 9 10 11 12 11 11 10 10 10 10 10 9 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 9 9 9 9 10 11 12 12 12 12 11 10 10 9 10 10 11 11 11 10 8 7 6 5 5 6 7 7 7 nan
nan 10 9 8 8 7 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 9 9 9 9 9 10 11 13 13 12 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 7 8 8 9 9 9 9 9 9 10 12 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 8 9 8 8 8 9 9 8 8 8 8 9 9 9 10 10 11 11 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 10 9 9 9 9 9 9 9 10 11 12 12 12 13 12 12 12 12 12 11 11 11 10 9 7 6 6 6 6 7 7 nan
nan 8 8 7 6 6 6 6 6 7 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 10 11 12 13 14 12 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 9 10 11 11 11 10 9 8 8 9 9 10 10 10 10 9 8 8 7 8 8 8 7 7 7 8 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 10 10 10 10 11 11 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 11 11 10 10 9 9 9 10 10 10 10 9 9 8 9 9 9 9 9 10 10 11 12 13 13 14 13 13 13 12 12 12 11 11 10 8 7 7 7 7 6 nan
nan 7 6 5 5 5 5 5 5 5 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 11 10 9 10 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 7 6 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 10 11 10 10 9 8 8 8 8 9 9 9 9 8 8 9 9 9 9 10 11 11 11 11 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 13 13 13 13 13 13 12 12 11 10 9 8 8 7 7 nan
nan 7 6 6 6 6 6 5 5 5 6 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 10 8 7 8 9 11 11 10 9 8 8 8 9 9 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 12 12 11 10 9 8 8 nan
nan 8 8 8 8 8 7 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 12 12 11 9 8 9 11 11 10 9 8 8 8 8 9 9 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 9 9 10 10 9 9 8 8 8 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 9 10 10 10 10 9 10 10 11 11 12 12 12 12 13 13 14 13 13 11 10 9 9 nan
nan 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 12 14 14 13 12 11 11 12 11 10 9 8 8 8 9 9 10 10 9 8 8 7 7 7 6 6 6 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 9 9 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 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 9 8 8 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 13 14 14 14 13 12 11 10 nan
nan 10 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 9 9 9 9 10 10 10 11 13 13 14 14 13 13 13 12 11 10 9 9 9 9 10 10 10 9 8 8 7 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 10 10 10 9 9 9 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 13 13 14 13 13 13 12 nan
nan 8 8 8 8 8 8 8 9 9 9 10 9 9 9 8 8 8 8 9 9 9 8 9 9 9 10 11 11 11 11 11 12 13 13 14 14 14 13 13 12 11 10 10 10 11 10 10 9 8 7 7 7 7 7 7 6 5 6 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 8 8 9 9 10 10 10 10 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 nan
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nan 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 8 8 8 9 9 10 11 10 10 11 11 12 12 12 11 10 9 9 8 8 9 10 11 12 13 13 12 11 10 9 9 10 10 11 10 10 10 11 11 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 9 8 8 9 10 12 15 20 25 29 30 27 22 16 9 5 5 5 7 8 8 8 9 10 10 10 9 9 9 9 10 10 11 11 11 11 13 15 17 14 10 5 1 -0 1 5 7 9 12 14 14 12 10 9 9 9 6 3 1 3 6 9 9 9 10 10 10 9 9 8 8 8 7 7 nan
nan 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 11 11 11 11 11 11 12 11 10 9 9 8 8 8 9 9 10 12 13 14 14 13 12 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 8 7 7 8 9 11 13 16 18 21 22 19 15 11 7 4 2 3 5 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 12 16 18 17 14 11 5 1 1 2 4 7 10 12 12 11 10 9 9 9 7 3 1 3 6 9 9 10 10 10 10 9 9 8 8 8 8 8 nan
nan 10 10 10 10 9 10 10 11 11 11 10 10 10 9 9 9 9 9 10 11 12 11 11 11 11 11 11 11 10 9 8 8 8 9 9 10 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 9 8 7 7 7 8 11 12 13 14 15 14 13 10 7 5 2 0 0 4 7 8 8 7 8 9 9 9 8 8 9 9 9 9 9 10 10 11 13 15 16 17 16 12 8 5 4 4 6 8 9 10 10 9 9 9 9 7 4 2 3 6 9 10 10 10 10 10 9 9 8 8 8 9 9 nan
nan 11 11 11 10 10 10 10 11 11 10 10 9 9 9 8 9 9 9 10 11 11 11 11 11 11 11 11 10 9 9 8 9 9 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 10 10 10 10 10 11 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 10 10 10 11 11 11 10 9 9 9 9 9 10 10 10 9 8 8 7 7 8 11 12 12 11 11 11 10 8 7 5 2 -1 -1 1 5 7 7 7 8 9 9 9 9 8 8 9 9 9 9 10 10 10 10 11 13 16 19 18 14 11 9 8 8 9 10 10 10 10 10 10 9 8 5 3 3 5 7 9 10 10 10 10 10 9 8 8 9 9 10 nan
nan 11 12 12 11 11 10 10 10 10 10 9 9 8 8 9 8 8 8 9 10 10 11 11 11 11 11 10 10 9 9 8 9 10 10 11 11 11 10 10 10 10 11 12 13 13 12 11 11 12 13 13 13 12 12 12 13 13 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 11 12 12 11 10 9 10 10 11 11 10 10 9 9 9 9 10 10 9 9 9 8 7 7 9 11 12 12 11 10 9 8 8 7 5 3 0 -1 0 3 6 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 11 14 18 19 18 17 14 12 11 11 11 11 10 10 10 10 10 9 6 3 1 1 4 8 10 10 10 9 9 9 9 8 8 9 10 nan
nan 12 13 13 13 12 11 11 10 10 9 9 9 9 9 10 10 9 9 10 10 11 11 11 11 11 11 10 9 8 8 8 9 10 10 10 10 10 9 9 10 10 11 12 13 14 13 12 12 13 13 13 13 12 12 12 12 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 9 9 8 9 9 10 11 12 11 10 10 10 11 11 11 10 10 10 10 9 9 10 9 9 9 9 8 7 7 9 11 12 12 10 8 8 7 7 7 6 4 2 -0 -1 1 5 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 14 16 18 19 17 14 12 12 12 11 11 11 10 10 10 10 8 4 0 -1 1 5 9 9 9 9 9 9 8 7 6 6 8 nan
nan 14 14 14 14 13 12 11 10 10 10 9 9 9 10 11 11 12 12 12 12 12 12 12 12 11 11 10 9 8 8 9 9 9 9 8 8 8 9 9 10 11 11 12 13 14 14 13 13 13 13 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 11 12 11 9 7 6 6 7 7 7 6 5 1 -2 -1 2 7 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 10 11 15 18 17 14 12 12 11 11 11 11 11 11 11 11 10 7 3 -0 -0 3 7 8 8 8 8 8 7 5 4 3 4 nan
nan 15 15 14 13 12 11 10 10 10 10 10 10 10 10 11 11 12 13 14 14 14 13 12 11 11 11 10 10 10 10 10 9 8 7 6 6 7 8 9 10 11 11 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 11 11 11 10 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 9 9 8 8 9 9 8 7 7 8 9 10 9 7 6 5 6 7 7 7 7 3 -1 -2 1 6 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 13 15 15 13 11 11 11 11 11 11 11 11 12 11 11 9 5 1 -1 1 6 8 8 7 7 7 7 6 3 1 3 nan
nan 15 14 13 12 10 9 9 9 9 9 9 10 10 10 11 11 12 13 14 14 14 13 12 11 11 11 11 11 11 11 11 9 8 6 5 5 6 8 9 10 11 11 11 11 12 12 12 12 11 12 13 13 14 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 9 8 8 7 5 4 5 7 8 9 8 7 6 6 7 7 8 5 1 -1 -0 4 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 14 13 12 10 10 10 10 11 11 11 12 12 12 11 10 7 2 -0 1 6 10 10 7 7 7 8 7 5 3 3 nan
nan 14 14 13 12 10 9 8 8 9 9 9 9 10 10 11 11 12 12 13 13 13 12 11 11 10 10 9 8 9 9 9 9 8 6 6 6 7 8 10 10 9 9 10 11 12 13 12 12 11 11 12 13 13 13 12 11 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 11 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 9 6 5 4 6 9 11 11 9 8 7 8 8 6 3 0 -1 2 5 8 9 8 7 7 8 9 10 9 9 9 10 10 10 10 11 11 11 11 12 14 14 13 11 10 10 10 10 10 11 11 12 12 12 12 11 8 4 1 3 8 12 12 9 7 7 8 7 5 3 2 nan
nan 14 14 14 13 11 10 9 9 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 8 6 5 5 6 7 8 8 7 7 7 9 10 10 10 9 9 10 11 13 14 13 12 11 10 11 12 12 12 11 11 11 12 12 11 11 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 10 10 9 10 13 13 12 9 6 5 8 11 14 13 11 9 9 9 7 5 2 -1 -0 3 5 6 5 3 5 7 9 10 9 9 10 10 10 11 11 12 12 11 12 13 14 15 13 11 10 10 10 10 10 11 11 11 11 11 11 10 8 6 5 7 10 11 11 9 8 8 8 7 5 2 1 nan
nan 15 15 16 14 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 5 6 6 7 7 8 8 9 10 11 11 11 11 12 12 13 13 14 13 12 11 11 10 11 10 10 10 10 11 11 12 12 11 10 9 8 8 9 10 10 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 11 10 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 11 11 10 10 12 13 14 13 9 6 7 10 14 15 13 11 10 10 9 7 5 3 2 2 3 3 2 1 3 7 9 9 9 9 10 10 11 11 11 11 11 11 12 13 15 16 14 12 11 10 10 10 10 11 10 10 10 10 10 8 7 8 10 12 12 10 9 8 8 8 8 7 5 3 2 nan
nan 16 15 15 14 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 7 7 7 7 8 9 10 11 12 12 12 12 12 13 13 13 13 13 12 11 11 10 10 9 9 9 9 9 9 10 11 12 11 10 9 8 9 9 10 11 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 10 11 11 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 10 11 11 11 11 11 12 15 16 14 10 7 7 10 13 13 12 11 11 10 10 10 8 7 6 5 2 -1 -1 2 5 8 9 9 10 10 11 11 11 11 11 10 10 9 11 14 15 14 12 12 11 11 11 11 11 11 10 10 9 8 6 5 6 10 12 12 9 7 7 7 8 8 6 4 2 2 nan
nan 12 13 13 13 13 12 11 11 11 11 10 10 9 9 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 8 8 9 10 11 13 13 12 11 10 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 9 10 11 11 10 9 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 11 11 12 11 11 12 15 19 19 16 12 8 7 9 10 11 12 11 11 11 12 12 11 10 8 4 -0 -2 -2 -0 3 7 9 10 11 11 11 11 11 11 10 8 7 7 10 11 12 12 12 12 12 12 12 11 11 11 11 10 8 5 3 4 7 9 9 8 7 7 8 8 8 7 5 4 4 nan
nan 9 9 10 11 11 11 11 10 10 10 10 9 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 11 12 13 13 11 10 9 9 10 10 11 12 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 10 10 9 9 9 10 10 11 11 10 10 10 9 9 9 9 10 10 10 9 9 10 11 11 10 9 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 13 17 19 19 17 13 10 9 9 10 11 11 11 11 12 12 13 12 11 8 4 0 -4 -5 -2 3 7 10 10 10 11 11 10 9 9 7 6 6 8 10 11 12 12 12 12 12 12 12 12 13 13 13 11 7 5 4 5 6 6 7 7 8 8 8 8 8 7 8 8 nan
nan 10 9 9 9 10 10 11 10 10 9 9 7 6 5 5 6 7 8 9 10 11 11 10 10 11 11 11 11 10 9 9 9 10 11 12 13 13 12 10 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 13 16 18 20 19 16 14 12 11 11 11 11 11 11 12 13 13 13 11 8 5 -1 -5 -4 1 5 9 9 8 7 6 6 6 7 7 8 8 9 10 11 12 12 12 12 13 13 13 13 15 17 18 18 15 11 9 7 6 6 7 7 7 8 8 9 9 10 10 11 nan
nan 13 12 11 10 10 10 10 10 9 9 7 6 5 4 5 6 7 9 10 11 12 11 11 11 11 11 11 10 9 9 9 9 10 11 12 13 13 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 8 7 8 9 10 10 10 10 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 11 13 17 21 22 21 20 19 18 16 15 14 13 12 11 12 12 12 12 10 8 2 -3 -3 -1 3 7 8 6 4 3 3 5 6 8 9 10 11 11 12 12 12 13 14 14 15 15 15 16 19 21 22 21 19 15 11 9 8 8 7 7 8 9 10 10 11 11 11 nan
nan 15 14 14 13 12 11 10 9 8 7 6 5 5 5 6 7 7 8 9 10 11 11 11 11 11 11 11 10 9 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 9 8 7 8 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 12 15 18 21 22 23 23 23 22 21 20 17 14 13 13 13 13 12 12 10 6 2 -1 -3 1 5 7 7 6 5 5 6 8 9 11 12 13 13 13 14 15 16 16 17 17 17 15 14 15 17 19 19 19 18 16 13 11 10 9 8 8 9 10 11 11 11 10 nan
nan 15 16 16 15 14 12 10 9 7 6 6 5 6 7 7 8 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 9 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 12 14 16 17 19 20 20 21 22 23 21 19 18 18 18 18 16 15 14 12 9 6 4 5 8 11 12 11 10 10 10 11 12 14 15 16 15 14 14 15 15 15 14 14 13 10 8 8 10 13 17 18 19 19 17 16 15 14 12 10 10 11 12 11 10 10 nan
nan 16 17 17 17 15 13 11 9 8 7 7 7 8 9 9 9 9 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 12 14 15 15 16 18 22 23 22 21 21 23 23 22 20 18 17 16 15 14 14 15 16 17 17 16 15 15 14 13 13 14 14 14 13 12 11 11 10 8 8 7 6 5 5 7 13 18 21 22 23 22 21 19 17 15 13 12 12 12 11 11 10 nan
nan 17 17 17 17 15 13 11 10 9 8 8 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 11 10 11 11 11 11 12 15 17 19 19 18 18 19 20 20 20 19 17 16 15 15 16 17 18 18 18 18 17 17 15 13 12 11 12 12 12 11 11 11 11 10 9 9 9 9 9 11 14 17 19 21 22 21 20 18 16 14 13 13 12 12 11 11 10 nan
nan 17 17 16 15 13 12 11 11 10 10 10 10 10 10 11 10 10 9 9 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 11 11 10 10 11 12 11 11 10 11 11 10 9 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 13 12 13 13 14 15 15 15 15 14 13 13 14 14 15 15 15 15 15 16 16 15 14 14 16 17 16 15 15 16 16 17 16 15 14 14 13 13 12 13 14 14 15 15 14 13 12 11 11 11 11 11 11 11 11 nan
nan 16 15 14 13 12 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 9 10 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 11 11 11 10 10 11 12 11 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 14 14 13 13 13 12 12 13 13 13 13 12 12 12 14 16 16 16 17 18 19 18 17 16 16 17 17 17 15 14 13 12 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 12 nan
nan 14 14 13 13 13 13 13 12 12 12 11 10 9 9 8 7 7 7 7 8 9 10 10 10 10 10 11 11 11 11 11 10 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 12 12 11 10 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 10 10 9 8 7 6 7 8 9 10 11 11 12 12 13 13 14 13 13 13 13 12 11 11 11 11 11 11 10 11 12 13 13 14 14 15 14 13 12 12 12 12 11 10 10 9 9 8 8 8 8 8 9 9 9 9 8 7 7 8 8 9 9 10 12 nan
nan 14 14 14 14 14 14 14 13 13 12 11 9 9 8 7 7 7 8 8 9 10 11 11 11 11 12 12 12 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 11 11 10 10 11 11 12 12 12 12 11 10 10 10 12 12 11 10 9 8 9 9 10 10 11 10 10 9 10 10 11 11 11 10 8 7 7 8 8 7 7 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 11 12 11 10 9 8 5 3 1 1 2 4 6 8 9 10 11 11 10 10 11 12 13 14 12 9 7 6 7 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 7 8 8 9 10 nan
nan 15 16 16 15 15 15 14 13 13 12 11 10 9 8 8 8 9 9 10 11 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 12 12 11 11 10 10 10 11 12 12 13 12 12 11 10 10 11 11 11 10 9 9 10 10 11 11 11 10 9 8 8 8 9 11 12 12 10 8 6 5 4 3 2 2 3 6 8 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 13 14 13 11 9 7 6 3 1 -1 -2 -2 -0 1 4 6 7 7 6 5 6 9 13 14 11 6 2 -0 2 7 9 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 nan
nan 16 16 16 15 15 15 14 14 13 12 11 10 9 9 9 9 9 10 10 11 12 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 11 10 10 10 10 10 10 9 10 10 11 11 12 13 12 9 7 5 4 5 7 10 12 14 13 10 7 3 0 -2 -3 -4 -2 2 4 6 7 8 9 10 10 10 10 10 9 8 7 7 7 8 9 10 12 14 14 12 11 9 8 6 5 3 0 -2 -2 -2 -0 2 4 3 2 1 2 5 9 11 8 4 -2 -4 -1 4 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 nan
nan 15 15 15 15 14 14 14 13 12 12 11 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 13 14 15 14 11 7 2 -0 1 3 7 12 15 15 12 7 3 -0 -3 -5 -6 -5 -3 -0 1 2 3 5 7 9 10 11 11 9 6 4 3 4 5 6 8 10 12 12 12 11 10 9 9 7 6 4 2 1 1 2 3 3 2 1 1 3 6 7 6 3 -1 -2 0 4 7 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 10 10 10 nan
nan 14 14 14 14 13 13 13 12 11 10 10 9 9 8 8 8 9 10 11 11 12 12 12 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 11 14 17 19 18 16 10 4 1 -0 1 5 10 12 12 10 7 5 2 -1 -3 -3 -4 -3 -3 -3 -2 -1 0 4 8 12 14 12 9 5 1 0 1 2 4 6 8 9 10 11 11 11 11 10 9 8 7 6 5 5 6 6 5 5 4 4 5 4 3 2 2 3 5 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
383 341 300 264 256 302 382 429 413 355 302 285 283 300 332 382 429 452 536 558 525 475 441 430 423 399 383 371 369 374 382 393 402 410 409 403 399 398 390 365 324 282 264 245 231 227 229 236 253 270 278 288 308 330 336 320 294 268 249 240 238 229 196 159 137 120 107 98 94 96 104 117 137 160 185 204 216 233 248 260 280 297 299 290 293 314 294 259 250 256 250 225 189 141 114 92 73 62 59 55 48 47 56 68 82 101 125 145 144 126 95 69 64 66 69 75 84 94 95 81 63 48 81 81 66 66 72 62 49 36 29 27 28 29 27 22 13 10 8 8 10 11 13 14 19 23 27 28 26 25 30 33 27 27 28 26 22 15 10 8 6 4 4 7 10 13 15 17 22 28 33 34 26 16 11 9 5 1 0 0 0 0 0 0 0 0 0
325 271 224 191 169 182 238 296 312 281 239 235 227 231 277 338 385 416 482 538 540 507 479 473 468 432 405 388 388 390 395 407 419 420 409 399 417 428 419 397 344 283 248 228 219 217 221 228 242 259 281 294 314 347 363 352 337 310 283 270 265 249 213 181 156 136 122 112 107 110 120 136 157 179 201 221 240 259 266 283 306 321 323 321 320 324 304 285 281 288 293 277 202 178 159 132 106 96 94 88 82 76 83 99 118 143 181 228 249 235 193 151 132 123 115 102 96 103 117 125 121 139 138 107 61 40 44 35 35 30 27 27 28 28 26 20 12 6 3 5 9 13 17 18 23 27 31 31 30 32 47 41 35 31 27 23 16 7 4 2 1 0 0 1 2 8 11 16 23 28 28 25 17 9 6 3 1 0 0 0 0 0 0 0 0 0 0
248 195 184 181 152 130 141 177 208 213 199 205 193 200 253 305 340 376 429 499 535 524 498 481 470 442 417 396 388 392 411 441 461 450 421 410 454 477 455 422 372 311 270 254 247 237 229 239 242 262 290 302 311 328 343 343 353 350 329 308 295 279 252 224 198 171 154 146 144 154 167 185 202 216 231 254 288 307 304 317 339 355 355 348 338 318 288 276 289 315 334 344 291 236 195 158 132 123 119 110 109 111 122 138 155 179 231 301 346 350 318 270 231 212 187 161 138 126 130 138 130 121 114 92 49 18 18 15 19 21 23 25 24 22 18 15 12 7 4 3 8 17 22 25 29 32 33 29 25 41 60 56 45 33 24 16 8 1 0 0 0 0 0 0 0 5 10 18 24 25 20 15 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0
181 146 157 161 129 85 72 93 128 154 167 182 169 189 238 280 307 337 393 473 528 537 508 475 461 460 449 429 418 426 451 480 493 479 445 442 471 474 435 386 346 323 309 303 304 292 272 278 272 289 317 333 337 341 353 347 362 377 372 355 336 318 298 273 249 224 210 207 210 223 239 261 279 292 307 331 366 379 376 377 380 381 379 377 375 369 364 365 380 400 408 423 401 338 283 242 219 214 200 175 162 163 172 183 201 227 280 352 407 426 410 371 331 317 291 250 208 170 136 111 91 77 72 52 25 7 4 7 13 18 20 19 15 11 8 7 6 2 1 2 6 16 24 34 44 44 37 34 33 55 68 65 54 40 25 13 4 1 1 0 0 0 0 0 1 5 13 19 21 17 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0
151 139 145 132 87 39 27 42 72 102 123 138 139 159 197 231 257 288 336 396 444 494 518 528 535 532 507 474 467 489 522 543 535 493 417 407 405 384 346 314 310 349 365 341 336 353 359 339 322 336 364 388 396 396 404 402 415 424 427 419 396 365 339 331 327 319 314 313 314 310 313 324 332 337 344 355 359 362 363 367 375 384 391 401 412 438 464 467 455 442 436 438 422 396 360 333 319 303 272 235 212 207 207 215 243 280 324 381 424 440 431 411 403 394 367 317 260 207 164 129 110 111 93 55 20 7 5 6 13 18 20 17 11 4 2 3 2 1 1 3 7 12 23 42 60 59 42 44 56 72 76 67 49 33 26 16 10 8 6 2 0 0 0 0 1 4 7 9 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
126 126 125 102 59 14 6 13 34 59 80 98 115 141 167 188 206 220 230 238 251 297 361 413 440 441 419 392 389 409 435 444 414 337 237 219 210 193 180 193 248 326 364 318 302 346 401 406 386 396 417 436 426 393 380 408 445 469 489 503 498 464 417 435 448 436 400 351 307 272 260 254 235 209 190 185 188 195 205 221 250 284 314 335 355 391 414 410 398 398 413 412 405 357 317 306 304 279 239 213 206 204 206 217 247 287 328 372 402 416 423 429 429 400 369 334 298 269 253 238 228 195 139 76 30 10 8 8 13 18 19 16 8 1 1 2 3 4 5 7 9 12 20 41 59 60 56 68 85 87 79 63 46 34 26 20 21 21 15 6 2 1 0 0 1 2 3 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
82 84 78 61 38 9 1 0 9 26 47 72 101 131 155 165 159 143 124 104 82 93 130 162 176 181 181 188 221 239 233 200 148 102 59 49 45 42 44 66 112 152 194 172 167 212 286 346 371 379 377 376 337 268 245 284 340 381 413 444 472 483 468 507 499 429 325 230 167 116 105 97 80 58 40 32 36 45 57 70 85 113 158 200 236 280 312 333 355 389 427 369 342 297 250 221 214 208 194 182 175 171 176 191 216 248 295 357 406 451 489 455 414 398 384 365 348 348 364 265 248 209 141 73 30 13 10 10 13 14 14 9 5 2 1 2 5 7 8 9 12 13 17 32 46 55 74 91 93 76 59 47 36 29 22 18 19 17 13 10 9 7 3 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
49 47 36 23 15 8 2 1 2 7 20 42 72 108 140 144 119 81 50 36 17 14 19 22 22 25 29 41 81 87 70 43 18 9 5 2 1 2 3 8 15 18 44 45 50 72 110 153 197 211 202 188 154 106 85 104 146 177 196 214 241 275 306 350 334 252 152 82 52 20 16 13 10 6 3 0 1 6 15 25 33 42 63 92 137 189 236 275 306 335 387 262 178 124 101 101 112 125 135 138 138 141 150 166 192 227 299 394 468 518 555 529 479 447 452 465 483 511 509 362 302 255 182 96 39 13 7 7 8 8 5 2 1 3 2 4 8 9 8 8 12 11 13 22 38 58 81 99 92 69 49 38 31 26 21 17 16 15 13 13 17 16 7 1 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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