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 7 8 8 7 7 7 7 7 7 6 6 7 7 7 7 8 8 7 6 5 5 5 6 7 8 8 8 8 8 7 7 9 11 11 8 6 5 6 9 9 8 7 7 7 7 7 7 8 10 11 12 13 13 12 11 10 9 9 9 9 8 8 9 9 9 9 8 8 8 9 9 9 10 10 10 11 12 14 14 15 15 14 12 12 12 14 14 14 13 12 12 13 14 15 15 15 15 14 11 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 10 11 10 10 9 9 9 9 9 8 7 7 8 8 8 8 9 10 10 11 11 11 10 9 11 12 13 13 13 12 11 10 10 10 10 9 8 6 6 5 5 6 6 6 nan
nan 9 8 7 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 5 4 4 5 7 7 7 7 6 7 7 7 8 11 12 9 7 5 6 7 8 8 8 9 9 8 6 5 7 9 10 10 11 12 13 13 12 12 12 12 11 11 10 11 11 12 12 11 11 10 10 10 11 11 11 11 11 12 13 14 14 15 15 14 14 15 16 16 15 14 12 12 13 13 15 16 17 18 18 17 15 15 14 14 14 13 12 11 11 11 11 11 11 11 11 12 12 12 11 10 10 9 8 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 10 10 10 10 10 9 9 9 9 8 7 7 7 7 7 7 8 9 10 11 11 10 10 12 14 15 14 12 12 12 11 10 10 9 9 8 7 7 7 7 7 6 6 6 nan
nan 9 8 7 6 6 6 7 7 7 6 6 6 6 5 6 6 7 7 7 6 5 5 6 7 7 7 6 6 7 7 7 7 9 10 10 8 7 6 6 7 8 9 10 10 10 8 7 7 8 8 8 9 10 12 13 12 13 13 14 13 13 13 12 12 12 13 13 13 12 11 11 10 10 10 9 9 10 11 12 12 13 13 14 14 14 14 14 13 13 12 11 10 11 13 14 15 15 16 17 17 17 17 16 15 13 12 11 10 10 10 11 11 11 12 12 12 11 10 10 9 8 8 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 6 6 7 9 10 11 11 10 9 10 13 15 15 13 11 10 11 10 10 9 9 8 8 8 9 10 9 8 7 6 6 nan
nan 9 8 7 6 6 6 6 6 7 7 6 6 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 9 7 6 6 8 9 10 11 12 11 9 9 8 8 8 8 9 10 11 11 12 13 13 13 13 12 12 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 11 12 13 13 12 11 11 11 11 11 10 10 10 12 13 13 12 11 12 14 15 15 15 14 12 11 10 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 9 9 10 9 9 8 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 8 7 6 6 6 6 6 7 9 11 11 11 10 10 10 12 12 12 11 10 9 9 10 10 10 9 9 9 9 9 10 10 9 8 7 7 nan
nan 9 8 8 7 7 6 6 6 7 7 7 6 6 5 5 5 6 6 7 7 8 8 7 7 7 8 8 7 7 7 8 9 8 7 8 9 9 8 7 7 8 9 10 11 11 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 10 9 8 9 9 10 9 9 8 8 8 8 8 8 9 8 8 9 10 11 10 10 10 11 11 10 10 9 10 11 12 11 11 10 9 9 10 11 12 13 13 12 10 9 9 8 8 9 10 10 11 10 10 9 8 8 8 9 10 10 10 10 10 10 11 11 10 9 8 7 7 8 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 7 6 6 7 7 7 7 8 10 11 11 11 10 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 9 9 8 8 nan
nan 9 9 9 8 8 7 7 7 7 6 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 8 8 7 6 6 7 9 9 7 7 8 9 8 8 8 9 9 10 10 10 9 10 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 8 8 7 8 8 8 8 8 7 6 7 8 9 9 10 10 10 10 9 9 9 10 11 11 10 10 9 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 10 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 8 6 5 6 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 7 7 8 10 10 10 8 6 5 5 6 7 8 9 10 11 11 9 8 8 8 7 6 6 7 9 9 9 8 nan
nan 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 5 5 6 7 7 7 7 6 6 7 7 8 7 5 4 6 8 9 8 8 8 8 8 8 9 9 9 9 8 8 9 10 12 12 11 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 5 6 7 8 8 9 9 9 8 8 8 9 9 10 10 10 10 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 9 9 10 10 10 10 10 9 8 7 7 7 6 6 7 9 9 8 7 7 7 7 8 8 9 10 9 9 9 9 8 7 7 8 9 9 8 6 4 4 4 5 6 7 9 10 11 10 8 7 7 6 6 6 7 8 8 9 8 8 nan
nan 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 7 7 7 7 7 6 4 5 6 8 9 8 8 8 8 8 9 9 8 8 8 8 9 10 11 11 9 8 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 10 10 11 11 11 11 11 12 11 9 8 8 7 7 7 8 9 9 10 10 11 11 9 8 8 7 7 6 6 8 10 10 10 9 8 7 8 9 9 10 10 9 8 8 8 7 7 7 8 9 8 7 6 5 4 3 4 6 8 9 10 10 10 8 7 6 6 6 7 7 7 7 7 8 8 nan
nan 9 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 7 6 5 6 9 10 9 9 8 8 8 8 8 7 7 8 9 10 10 9 9 8 6 5 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 8 9 9 10 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 9 9 10 11 11 11 11 11 10 9 8 8 7 7 7 8 8 9 9 10 10 10 9 8 8 8 8 7 7 9 9 9 8 8 8 7 8 9 10 10 10 9 8 8 8 7 7 7 8 7 6 6 6 6 5 5 5 7 9 9 9 10 9 8 8 7 7 7 7 7 7 7 8 9 8 nan
nan 9 9 9 9 9 8 8 7 7 7 6 6 7 8 8 8 9 9 8 8 7 8 8 7 8 9 9 10 9 8 8 8 9 10 10 10 9 8 7 7 8 8 8 9 9 10 9 8 7 7 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 11 10 9 9 9 8 8 8 8 9 10 10 10 9 9 8 8 8 8 9 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 8 8 8 7 6 6 6 7 7 8 9 10 9 9 10 9 8 7 7 6 6 5 4 5 6 7 7 6 7 9 10 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 nan
nan 10 9 9 10 10 9 9 8 8 7 7 6 7 8 8 9 9 9 8 8 7 7 7 8 9 11 12 12 11 10 10 10 10 11 11 11 10 8 7 7 8 8 9 9 9 9 7 7 7 6 6 6 6 6 6 6 5 5 5 4 5 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 6 7 7 8 9 10 9 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 9 10 10 9 8 7 7 5 4 4 5 6 8 9 7 7 9 10 10 9 7 7 7 8 9 9 9 9 9 10 10 11 11 11 nan
nan 10 10 10 10 10 10 10 9 9 8 7 7 7 7 8 9 9 9 9 8 6 6 6 8 10 13 14 14 12 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 9 8 7 7 6 6 6 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 7 8 9 10 10 10 10 9 9 9 9 9 9 8 7 6 6 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 9 7 6 5 4 4 4 6 8 9 9 8 8 8 7 6 5 5 6 7 8 8 7 7 8 10 9 7 6 5 6 7 8 8 9 9 9 9 9 9 9 9 nan
nan 9 9 10 10 10 10 10 10 9 8 7 7 7 7 8 9 9 9 9 8 6 6 7 10 12 14 14 14 12 11 11 12 12 12 11 10 9 9 8 8 8 8 8 9 9 8 8 7 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 9 10 11 12 11 10 9 10 11 11 10 9 7 6 6 5 5 6 7 7 8 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 7 8 8 8 8 8 9 9 10 10 8 7 7 6 6 6 6 7 7 7 6 6 7 7 7 6 5 6 7 7 7 7 6 7 8 8 5 4 4 5 5 5 7 8 8 8 7 7 7 7 7 nan
nan 7 8 9 9 10 10 9 9 9 8 8 8 7 7 8 9 9 10 9 8 7 8 10 12 13 14 13 12 11 10 10 12 13 13 12 10 9 9 8 7 7 7 8 8 9 9 9 7 6 6 6 6 6 7 7 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 10 10 10 9 10 11 12 13 12 9 8 6 5 4 4 5 6 9 9 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 10 9 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 7 6 5 5 6 6 7 6 5 5 5 6 7 7 7 6 7 7 6 4 3 3 3 4 5 5 6 7 7 6 6 6 5 5 nan
nan 6 6 7 8 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 9 10 11 12 12 11 11 11 9 9 10 12 13 14 13 11 10 9 8 7 7 7 8 8 9 9 8 7 6 6 6 6 6 7 8 8 8 7 6 5 5 5 6 7 8 10 11 11 9 7 7 8 8 9 10 12 13 14 12 10 8 7 6 5 5 5 7 9 10 8 8 7 7 7 7 8 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 10 10 10 10 10 10 11 11 12 11 10 10 9 9 9 10 9 9 10 9 8 8 8 9 9 10 10 10 10 10 9 8 7 6 6 7 7 7 7 7 6 7 7 8 8 8 7 6 6 4 3 2 2 2 4 4 4 5 6 6 6 6 6 6 6 nan
nan 6 6 6 7 8 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 10 9 9 9 9 11 12 13 14 13 11 9 7 7 7 7 8 8 8 9 8 7 6 6 6 6 7 8 8 9 8 6 5 4 3 3 5 7 10 11 12 11 9 8 7 7 8 9 10 12 13 13 12 11 9 8 8 8 8 7 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 8 8 9 10 10 9 9 9 10 10 9 9 8 8 8 9 9 9 10 10 10 9 8 8 8 8 7 5 4 3 3 2 3 3 4 4 4 5 6 6 6 6 6 7 nan
nan 8 6 6 6 7 8 9 10 10 11 11 12 12 11 10 10 10 11 11 11 10 9 8 7 8 8 9 9 8 9 9 10 11 12 14 13 12 10 8 6 7 7 7 8 8 8 8 7 6 6 7 7 8 9 10 9 7 5 5 4 4 4 5 7 10 11 11 10 10 9 9 8 9 9 10 11 12 12 12 11 9 9 10 10 9 8 7 6 6 7 7 8 8 7 7 7 8 8 8 9 10 10 10 11 11 11 10 10 9 9 8 8 9 9 9 9 8 9 9 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 8 7 8 8 9 9 10 9 8 8 9 10 11 12 13 12 11 9 8 8 8 7 6 5 4 4 3 4 4 4 4 4 5 5 6 6 6 6 7 nan
nan 10 9 8 8 8 9 10 11 12 12 13 13 13 12 12 11 11 11 11 10 9 7 6 7 8 8 8 8 8 9 9 9 10 11 12 13 12 10 9 7 7 7 7 8 8 8 7 7 7 7 7 8 9 10 10 9 7 6 5 6 6 5 6 7 9 9 9 10 10 9 9 9 9 10 10 10 10 11 11 10 9 8 9 9 8 7 5 5 5 6 7 7 8 8 8 8 8 8 8 8 9 10 10 11 10 10 10 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 10 9 9 9 9 9 10 10 10 9 9 8 8 8 8 7 7 7 8 9 9 9 9 8 8 9 9 10 11 12 12 11 10 9 8 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
nan 12 11 11 11 11 12 12 13 13 13 13 14 13 13 12 11 11 10 10 9 9 8 7 8 9 9 8 8 8 8 9 9 10 10 10 11 11 10 9 8 8 8 7 8 8 8 8 7 7 7 7 8 9 9 9 9 7 7 7 8 8 8 7 7 8 8 8 9 9 8 8 8 9 9 9 9 9 10 10 10 8 6 6 5 5 5 4 4 4 4 5 6 7 7 8 8 8 8 7 8 8 10 11 11 11 10 10 9 10 10 11 11 12 11 10 9 9 9 9 9 9 9 8 8 9 9 9 9 10 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 10 11 11 12 12 11 10 10 9 9 8 8 7 7 6 6 6 6 6 6 5 5 4 5 5 5 6 6 nan
nan 13 14 14 15 14 14 14 13 12 12 13 13 13 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 9 10 10 9 9 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 7 5 4 4 5 5 5 4 4 4 4 5 6 7 8 8 8 8 8 8 9 11 11 11 11 10 9 9 10 11 11 11 11 10 10 10 10 10 10 9 9 8 9 9 9 10 10 10 9 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 11 11 12 12 11 11 11 11 10 10 10 9 9 8 7 6 6 6 6 7 6 5 5 5 5 6 6 6 nan
nan 13 14 15 15 14 14 13 12 12 12 13 13 12 11 9 8 7 7 7 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 11 10 10 10 10 11 11 10 10 9 8 8 9 9 9 9 9 10 11 11 11 10 9 8 8 7 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 7 6 6 6 6 7 7 6 6 5 5 5 5 6 7 7 8 8 8 8 9 10 10 10 10 10 9 9 10 11 11 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 11 11 12 12 12 12 11 10 10 9 8 6 6 6 7 7 7 7 7 7 6 6 7 nan
nan 11 12 12 12 12 12 12 12 12 13 13 12 11 10 8 6 6 6 7 7 8 7 7 7 7 7 7 7 7 8 8 8 9 10 10 9 8 8 9 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 10 9 9 9 11 11 11 10 9 8 7 7 7 7 7 7 7 7 6 6 7 9 10 10 9 8 7 6 7 7 8 8 8 8 8 7 7 6 6 5 5 6 7 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 9 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 11 11 12 13 12 12 11 11 10 9 8 7 6 7 8 9 9 9 9 8 7 7 nan
nan 10 9 8 9 10 11 12 12 12 12 11 11 10 9 7 6 5 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 8 9 10 9 8 8 8 8 8 9 9 10 11 11 12 11 12 12 11 11 11 12 12 11 10 10 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 8 9 10 9 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 8 8 7 7 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 10 9 9 9 9 10 10 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 10 11 12 12 12 12 11 11 10 9 8 7 7 8 9 10 10 10 9 8 8 nan
nan 8 7 7 8 10 10 10 9 9 8 8 8 8 8 7 6 5 6 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 8 9 9 8 8 7 7 7 8 9 10 10 11 11 11 11 11 12 12 12 14 15 15 14 13 13 13 12 12 11 9 8 7 7 7 7 7 8 8 7 8 8 9 8 8 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 6 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 10 9 8 8 8 8 8 8 9 9 9 9 8 nan
nan 7 7 8 9 9 8 7 6 5 5 5 6 7 7 7 6 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 8 8 8 7 7 7 7 7 8 9 10 11 11 11 11 11 11 11 12 13 15 15 15 15 15 14 13 12 12 11 10 9 9 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 9 9 8 8 7 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 6 6 7 8 8 8 8 8 9 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 11 10 9 8 8 8 8 8 7 7 7 8 8 8 nan
nan 9 9 9 9 8 7 6 4 3 3 3 5 6 7 7 6 5 5 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 7 7 8 8 9 10 11 11 11 11 10 10 10 11 12 13 14 14 15 15 14 13 12 12 12 12 12 11 10 9 9 9 9 8 7 7 6 6 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 7 7 8 9 8 8 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 7 8 8 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 9 8 7 7 6 7 7 7 7 8 9 10 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 12 12 12 11 10 9 9 9 8 8 7 7 7 7 7 7 nan
nan 10 10 9 8 7 6 5 4 3 3 4 5 6 7 7 6 5 5 5 5 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 11 11 11 10 10 10 10 11 12 13 13 14 13 13 12 12 12 13 13 13 12 10 9 8 8 8 8 7 6 6 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 7 8 9 8 7 6 6 7 7 8 8 8 7 6 6 7 7 7 8 8 8 7 7 7 8 9 9 8 8 8 8 9 9 9 9 9 9 10 10 9 8 8 8 8 9 9 8 8 7 7 7 7 8 9 10 10 11 11 11 11 11 10 10 11 11 12 12 12 12 11 11 12 13 13 13 12 11 10 9 9 9 8 7 7 7 8 8 8 nan
nan 12 11 9 8 7 7 6 6 5 5 5 6 7 7 7 6 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 12 12 12 13 13 13 13 12 10 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 7 8 8 8 8 8 8 7 7 8 8 9 9 9 8 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 7 8 8 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 8 8 8 8 9 10 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 12 13 14 14 14 13 12 11 10 10 9 9 8 8 8 9 9 8 nan
nan 12 11 10 9 8 8 8 7 6 6 6 7 8 8 8 8 7 6 6 5 5 5 5 6 6 6 7 7 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 10 11 12 12 13 13 12 12 12 12 11 9 8 8 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 9 9 9 9 10 9 9 9 10 11 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 10 11 12 13 14 14 15 14 13 12 11 10 10 9 9 9 9 9 9 9 nan
nan 12 11 10 9 9 8 7 6 6 6 6 7 8 9 9 9 9 8 7 6 6 6 6 6 6 7 7 8 8 9 9 9 9 10 11 12 11 10 9 9 9 8 8 7 8 8 9 9 9 9 9 9 8 9 10 11 12 12 13 12 11 10 9 8 7 6 7 8 9 10 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 10 10 10 10 11 12 12 13 14 14 14 13 12 11 10 9 9 8 8 9 9 9 nan
nan 11 11 10 10 9 7 6 5 5 6 7 8 8 9 9 10 10 9 8 7 6 6 6 6 7 7 8 8 9 10 10 10 10 11 12 13 12 11 10 9 9 9 8 7 8 8 8 9 9 9 8 8 8 9 10 10 11 11 11 11 10 8 8 7 7 8 8 9 10 9 8 8 8 8 9 10 11 11 12 11 10 9 9 9 9 10 10 9 9 8 8 8 8 9 9 8 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 8 9 9 10 10 9 9 9 8 8 8 8 8 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 12 10 9 8 8 8 8 8 8 nan
nan 11 10 10 9 8 6 5 4 5 6 7 8 8 8 9 10 10 9 8 7 6 6 6 6 6 7 8 9 10 10 10 10 10 11 12 12 12 11 10 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 10 10 11 11 11 10 9 9 8 9 9 10 10 9 9 9 8 8 9 9 9 8 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 9 10 10 10 9 9 8 7 7 8 8 7 7 7 9 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 12 13 13 11 10 8 7 7 8 8 8 nan
nan 11 10 9 9 7 5 4 4 6 7 9 9 9 9 9 9 8 8 7 7 7 6 6 6 7 7 9 10 11 11 11 10 11 11 12 12 12 11 10 10 9 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 8 8 8 10 10 10 9 8 8 8 8 8 8 10 11 11 10 10 9 9 9 8 8 9 9 9 9 9 10 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 10 12 12 12 11 9 7 7 7 7 7 nan
nan 10 9 8 7 6 4 3 4 6 8 9 9 10 11 10 9 8 7 7 7 7 6 6 6 7 8 9 10 11 11 11 11 11 11 12 12 11 11 11 10 9 9 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 8 8 9 10 11 11 10 9 8 8 8 8 9 10 11 11 10 9 8 8 8 8 9 9 8 8 9 10 10 10 9 9 9 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 7 7 7 nan
nan 8 8 7 6 5 4 3 3 5 8 9 10 11 12 11 10 9 8 8 7 7 6 6 6 7 8 9 10 11 10 10 10 11 11 12 11 11 11 10 10 9 9 9 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 9 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 9 8 7 7 nan
nan 6 6 6 6 5 5 4 4 5 8 10 10 10 9 9 9 9 8 8 7 6 6 6 7 9 10 11 11 10 10 10 10 11 11 12 11 11 10 10 9 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 8 8 9 10 10 9 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 9 10 11 12 12 13 12 12 11 11 10 10 10 10 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 9 9 8 8 8 8 8 8 9 9 10 10 9 9 8 7 nan
nan 5 5 5 6 6 6 5 5 6 8 10 11 9 7 7 8 8 8 7 7 6 7 8 10 11 11 11 11 10 9 9 10 11 12 12 12 11 10 9 8 8 8 9 9 9 9 8 7 6 7 7 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 7 7 8 9 9 9 9 9 9 10 10 9 9 8 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 8 8 9 9 10 11 12 12 12 11 11 11 11 10 10 10 10 9 9 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 8 8 8 8 8 8 9 10 10 10 9 8 8 nan
nan 4 5 6 6 7 7 7 7 7 9 10 11 9 8 7 7 7 8 8 7 8 8 9 10 11 11 11 10 10 9 9 9 10 11 12 12 11 10 9 8 8 8 8 8 8 9 8 7 6 6 7 7 7 7 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 9 10 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 10 11 12 12 11 10 10 9 10 10 10 10 10 9 9 8 8 8 9 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 10 9 nan
nan 5 6 6 6 7 8 8 8 8 9 10 11 10 9 7 6 5 6 8 8 8 8 9 9 9 9 10 11 10 9 8 8 9 10 11 11 11 11 10 9 9 8 8 8 9 9 9 8 7 6 6 6 7 7 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 9 10 10 10 10 9 8 8 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 11 12 13 13 12 11 10 9 9 9 9 10 10 10 9 8 8 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 11 10 nan
nan 6 6 6 7 7 8 9 9 9 9 10 10 11 10 9 7 6 5 6 8 8 7 7 7 7 9 10 11 11 10 9 9 9 11 11 12 12 11 11 11 10 10 9 9 9 10 9 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 9 9 8 8 9 9 9 8 9 9 10 10 10 9 9 9 9 9 9 8 8 9 9 9 10 10 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 8 9 10 11 12 14 14 13 12 11 9 9 9 9 9 9 10 10 9 8 8 9 10 10 9 9 8 8 7 7 8 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 11 11 nan
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nan 15 16 17 16 15 15 13 12 11 10 9 9 9 9 9 8 8 8 9 11 12 11 12 12 13 13 14 14 15 15 15 14 13 13 14 14 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 9 11 13 12 10 9 8 8 7 7 6 4 2 2 3 5 8 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 10 11 11 9 7 6 4 4 5 6 8 9 11 12 12 10 9 9 9 8 7 4 3 5 7 8 8 8 8 7 7 7 7 7 8 9 10 11 nan
nan 13 15 16 16 16 16 14 12 11 10 9 9 9 9 9 8 8 9 10 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 13 13 13 13 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 10 11 11 11 10 10 10 11 11 11 10 9 8 8 9 10 10 10 10 10 10 10 9 8 7 8 10 12 12 10 9 8 8 8 7 7 4 2 0 0 4 7 9 10 10 10 9 9 8 8 8 9 9 10 9 8 8 9 10 11 12 11 10 9 8 6 5 6 6 7 9 10 10 10 9 9 9 9 8 5 5 6 8 9 9 8 8 8 7 7 7 8 8 9 10 11 nan
nan 12 14 16 18 18 18 15 13 12 10 9 9 9 9 9 8 9 10 11 12 13 13 13 13 13 11 10 11 11 12 12 12 12 12 12 12 13 13 13 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 10 11 11 11 11 10 10 11 11 11 10 10 10 11 11 11 10 9 8 8 8 9 10 10 10 10 10 10 9 8 8 7 9 12 12 11 9 8 8 8 7 7 5 2 -0 -1 1 6 8 10 10 10 10 9 9 8 8 8 9 10 10 9 9 9 10 10 11 12 12 12 12 9 8 7 7 7 8 9 9 9 9 9 10 10 9 7 6 7 8 10 10 10 9 9 8 8 8 8 8 10 11 11 nan
nan 11 14 17 20 20 19 17 14 12 10 8 8 8 8 9 9 10 10 12 12 13 13 14 14 13 12 10 10 11 11 11 12 12 12 12 12 12 13 13 12 11 11 11 11 12 12 12 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 8 8 9 9 9 9 10 10 10 10 9 8 8 9 12 12 12 11 9 8 8 8 7 6 4 0 -2 -0 4 7 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 10 11 13 15 14 13 11 10 9 9 9 9 9 9 9 10 10 10 10 8 7 6 7 9 11 11 10 9 9 9 8 8 9 10 11 11 nan
nan 10 14 18 21 21 21 18 15 12 9 8 8 8 8 9 9 10 11 12 13 13 13 13 13 12 11 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 13 14 14 14 14 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 9 9 8 9 11 13 13 12 10 8 8 8 7 7 5 2 -1 -0 3 6 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 12 14 15 14 13 12 10 10 10 10 9 9 10 10 10 10 10 9 7 5 5 7 9 10 10 9 9 9 8 9 9 9 10 11 nan
nan 9 13 17 21 22 21 19 15 11 9 8 8 8 9 9 9 10 11 12 13 13 13 12 12 11 10 10 10 10 11 10 10 11 11 11 11 11 11 11 11 10 11 12 13 14 15 16 15 15 14 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 10 10 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 10 11 13 14 13 11 9 8 8 8 8 6 4 1 -0 2 5 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 11 10 10 10 9 9 9 10 10 10 10 9 7 4 3 4 7 9 10 9 9 9 8 8 7 6 7 8 nan
nan 9 12 16 19 21 21 19 15 12 10 10 9 9 9 9 9 10 12 13 13 13 13 12 10 9 8 9 10 11 11 10 10 10 11 10 10 9 9 9 9 10 11 12 13 14 15 15 15 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 9 9 9 10 10 10 11 13 14 14 11 10 8 8 8 8 7 6 3 1 1 4 7 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 12 13 13 11 10 10 10 9 9 10 10 10 10 10 9 8 5 3 3 5 7 9 9 9 8 7 6 4 3 3 4 nan
nan 9 11 13 17 19 20 19 17 14 12 11 10 9 9 9 10 11 12 13 13 13 13 11 10 9 8 8 9 10 11 10 10 10 10 9 8 8 8 8 9 10 11 12 13 13 14 14 14 13 13 12 12 12 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 11 13 14 12 11 9 8 8 8 8 7 5 1 1 3 7 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 12 12 11 10 10 10 10 10 10 9 9 9 9 9 8 6 3 2 4 6 8 8 7 6 6 5 5 3 3 4 nan
nan 9 10 11 14 17 19 19 18 15 12 11 10 9 9 10 11 12 12 13 13 13 12 11 10 9 8 7 8 9 9 10 10 9 9 8 8 7 8 8 9 11 12 12 13 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 10 11 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 9 10 10 10 10 10 9 9 9 8 6 5 6 9 12 13 13 11 10 9 8 8 8 6 3 1 2 5 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 11 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 7 5 3 4 7 9 8 6 5 5 6 6 5 4 5 nan
nan 8 8 10 12 15 17 18 17 15 13 12 10 10 10 10 11 12 12 12 12 12 11 11 10 9 8 7 6 7 9 10 10 9 9 8 7 8 8 9 10 11 12 12 12 12 12 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 10 10 9 9 9 10 10 11 11 11 11 10 9 9 10 11 11 11 10 10 10 9 9 8 9 9 9 9 9 8 7 8 8 9 10 10 11 10 10 9 10 11 10 7 5 5 8 11 14 14 12 10 9 9 9 7 4 1 -0 2 6 8 8 7 6 6 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 8 7 5 6 8 10 9 7 4 4 5 6 6 5 5 nan
nan 8 8 8 11 14 17 18 18 16 15 13 11 11 11 11 12 12 12 12 12 12 11 11 10 9 8 7 6 7 8 9 10 10 9 8 7 8 9 9 11 12 12 12 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 10 10 10 10 11 11 11 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 8 9 10 10 10 10 10 12 15 15 14 10 6 5 8 13 16 15 12 10 9 9 8 6 3 -0 -1 2 4 5 4 2 4 7 9 9 9 9 9 9 10 10 10 11 10 10 9 10 11 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 9 9 8 7 6 6 6 6 6 5 5 nan
nan 8 7 7 10 14 16 18 18 17 16 15 13 12 12 12 12 13 12 12 11 11 11 10 10 9 8 7 7 7 8 9 10 10 8 8 8 9 11 12 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 10 11 11 11 13 15 16 15 11 6 7 10 14 15 13 11 10 10 9 8 5 2 0 1 2 3 2 1 4 7 9 9 8 8 9 9 10 10 10 10 10 10 9 10 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 9 8 7 7 6 7 7 7 7 7 8 nan
nan 9 8 7 9 13 16 18 19 19 18 17 15 14 13 13 13 13 12 12 11 11 11 10 10 9 9 8 8 9 9 9 10 9 8 8 9 11 13 14 14 12 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 9 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 10 11 11 11 12 13 16 18 17 11 8 7 9 12 12 11 10 10 10 9 8 6 4 3 3 1 -1 -0 2 6 8 8 8 9 9 10 10 10 10 10 9 8 8 8 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 9 8 7 7 7 8 8 8 8 8 9 nan
nan 9 8 7 9 12 15 17 19 20 19 18 16 15 14 13 12 12 12 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 10 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 11 11 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 9 8 8 8 9 10 10 10 9 9 9 9 9 8 8 8 7 8 8 8 8 8 9 10 10 11 11 12 13 16 20 21 17 12 7 6 7 9 10 10 10 10 10 10 9 7 6 5 2 -1 -2 -2 0 3 7 8 10 10 10 10 10 10 10 9 7 5 5 8 9 10 10 10 10 10 11 11 11 11 11 11 11 10 9 7 6 6 7 8 8 8 7 8 8 9 10 10 10 10 nan
nan 9 8 8 9 11 14 16 18 20 20 18 16 15 13 12 12 11 11 11 11 11 11 10 10 9 9 10 10 9 9 9 9 9 10 11 12 12 11 10 9 8 8 8 8 8 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 10 9 9 9 9 9 9 10 10 9 9 8 9 10 10 9 8 8 8 9 10 10 10 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 14 18 20 20 18 12 8 8 8 8 9 10 10 10 10 10 9 8 7 5 2 -1 -3 -5 -2 3 7 10 10 9 9 9 9 8 7 6 5 5 7 9 10 10 10 10 10 11 11 11 12 12 13 13 12 10 8 7 7 7 7 7 7 8 8 9 10 12 14 14 13 nan
nan 10 9 9 10 11 13 15 18 19 19 18 17 15 13 12 11 11 11 12 12 11 11 11 10 10 10 10 9 9 8 8 8 9 10 11 12 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 13 16 19 20 19 16 13 12 10 10 11 11 11 11 10 10 10 9 8 6 4 -1 -5 -4 1 5 9 9 8 7 6 5 5 5 5 6 7 8 9 10 10 10 10 11 11 11 12 13 14 16 17 17 15 13 11 9 8 8 8 8 8 9 11 13 14 15 14 14 nan
nan 11 10 9 10 11 13 15 17 19 19 19 17 15 13 12 11 11 11 12 12 12 12 11 11 10 10 10 9 9 8 8 8 9 10 11 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 11 11 13 17 21 23 22 21 20 18 17 16 15 14 12 11 11 10 10 10 9 8 3 -2 -3 -2 3 7 9 8 6 4 3 4 4 5 7 8 9 10 10 10 11 11 12 13 14 14 15 16 17 18 18 17 15 13 11 10 9 8 8 8 10 13 14 15 14 12 12 nan
nan 11 10 10 9 10 12 15 17 19 20 19 18 16 14 13 12 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 11 12 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 10 10 8 7 8 8 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 14 18 22 24 25 24 24 23 22 21 18 15 14 13 12 12 11 11 10 7 2 -1 -2 1 6 8 9 7 5 4 5 6 7 9 10 10 11 11 12 13 13 14 14 15 15 14 12 12 13 14 14 13 12 12 11 10 10 10 10 11 13 13 13 12 11 10 nan
nan 10 10 9 9 9 11 15 17 20 20 20 18 17 15 13 12 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 11 12 13 12 12 11 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 11 11 11 10 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 8 9 9 10 10 11 12 14 16 18 20 21 21 22 22 23 23 21 20 20 20 18 16 14 13 12 10 7 5 6 9 11 12 11 9 8 8 9 10 12 13 13 13 12 12 12 12 11 11 10 9 7 5 5 7 11 13 13 13 13 13 13 14 14 14 13 12 12 12 12 11 11 nan
nan 10 10 9 8 9 11 15 18 20 21 20 19 18 16 14 12 11 10 11 12 12 12 11 11 10 10 10 9 9 9 9 11 12 13 13 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 10 10 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 12 14 15 15 16 19 23 25 24 24 25 27 27 25 22 20 19 18 17 16 15 16 16 16 16 15 14 14 13 12 12 12 11 11 9 8 8 8 6 5 5 4 3 3 4 8 13 17 18 19 18 18 17 18 17 16 13 12 11 11 12 12 11 nan
nan 10 10 9 9 9 11 15 17 20 21 21 20 18 16 14 12 10 10 10 11 12 12 12 12 11 10 10 10 10 10 11 12 13 13 14 14 13 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 9 10 10 10 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 11 12 12 12 13 15 18 21 21 21 22 24 27 28 27 25 22 20 19 18 17 17 16 17 17 17 16 16 14 12 10 9 9 9 8 8 9 9 9 8 8 8 9 9 10 12 15 18 19 19 20 19 18 17 16 14 13 11 11 11 11 11 11 nan
nan 10 10 9 8 9 10 13 16 19 22 22 21 19 17 15 13 11 10 10 11 12 12 13 12 11 11 11 11 11 12 12 13 13 14 14 14 13 13 12 11 11 10 10 10 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 9 8 8 9 10 11 10 10 10 11 10 8 8 8 8 9 9 9 9 10 10 10 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 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 13 13 13 13 15 18 20 21 20 18 17 15 14 13 13 14 14 14 14 14 14 14 13 12 12 13 14 13 13 13 15 16 16 15 15 15 15 14 13 13 13 13 14 15 14 13 12 12 12 12 12 11 11 11 11 11 nan
nan 10 9 8 7 7 9 12 15 19 22 22 21 19 18 15 13 11 11 11 11 12 13 13 12 12 11 11 11 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 10 11 10 10 10 11 12 11 9 8 7 8 8 9 9 9 9 10 10 10 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 13 13 13 13 12 11 11 12 12 12 12 12 12 14 14 14 15 16 17 17 16 15 15 16 17 17 16 15 14 12 11 10 10 10 10 10 9 8 8 8 9 10 11 11 11 11 11 12 nan
nan 9 9 8 7 7 8 10 14 18 21 22 21 19 18 15 13 12 11 11 12 13 13 13 12 12 11 11 11 12 12 12 12 12 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 10 10 10 10 10 10 10 11 12 12 11 10 8 8 8 9 9 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 9 7 6 6 7 8 9 9 10 10 9 9 9 9 9 10 10 11 11 11 10 9 9 11 12 12 11 11 12 12 12 13 14 14 14 13 12 12 13 13 13 12 12 11 10 10 10 9 9 8 9 8 8 7 6 7 8 9 10 10 10 10 12 nan
nan 9 9 8 8 8 8 10 14 17 20 20 20 18 17 15 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 13 13 13 13 12 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 11 11 10 10 11 12 12 11 10 8 8 9 10 10 10 10 10 9 9 9 10 10 11 11 10 8 7 6 7 6 6 6 6 7 9 9 9 10 10 10 10 10 10 10 9 10 10 9 9 9 10 10 11 11 12 12 11 10 9 7 5 3 1 1 2 4 5 7 8 9 9 8 8 8 9 10 11 12 10 7 5 4 6 9 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 8 7 7 8 8 9 9 9 10 nan
nan 9 9 9 9 9 9 11 14 16 17 18 18 17 16 15 14 13 13 13 13 12 11 11 11 10 10 11 11 11 11 12 12 13 13 13 13 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 13 13 12 11 10 10 11 11 11 11 9 8 9 9 10 11 11 11 10 8 7 7 8 9 10 11 11 9 7 5 4 3 1 -0 -0 1 4 7 8 9 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 11 12 13 12 11 9 8 6 4 2 -0 -2 -1 -0 2 4 5 6 6 5 5 6 8 11 13 10 5 1 -2 1 6 9 10 10 10 10 10 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 9 nan
nan 9 9 9 10 10 11 12 14 15 16 16 16 16 15 14 14 14 14 13 12 11 11 10 10 9 10 10 11 11 12 12 13 13 13 14 14 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 12 12 11 10 10 10 10 10 9 9 9 10 10 11 12 12 11 8 6 4 3 3 6 8 11 12 11 8 5 2 -1 -3 -5 -6 -4 -1 2 4 6 7 9 10 11 11 11 11 10 9 8 7 6 7 7 8 9 11 13 13 12 11 10 9 7 4 1 -0 -1 -1 0 2 4 4 3 2 2 4 9 12 10 6 0 -3 -1 4 8 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 nan
nan 10 10 10 11 11 13 14 15 15 15 15 15 14 14 14 13 13 13 13 11 11 10 9 9 9 9 10 11 11 12 12 13 13 14 14 14 14 13 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 13 14 14 12 9 5 1 -1 -0 2 6 10 12 12 10 6 3 -0 -3 -6 -7 -7 -5 -4 -2 -1 1 4 7 9 11 13 12 10 6 3 0 0 1 2 4 7 10 12 13 12 12 11 11 9 7 5 3 2 2 3 5 5 4 2 2 3 7 9 9 8 4 1 3 5 8 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 nan
nan 11 11 11 11 13 14 15 16 16 15 15 14 13 13 13 12 12 12 11 10 10 9 9 9 9 10 11 11 11 12 12 12 13 13 14 14 14 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 11 12 14 17 18 17 14 9 3 0 -1 0 4 8 10 10 9 7 5 3 0 -2 -3 -5 -5 -5 -6 -5 -4 -2 2 7 12 14 13 10 5 1 -2 -2 -1 1 3 6 9 11 12 12 12 12 11 10 9 7 6 5 6 6 7 6 6 5 6 7 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 10 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
423 390 379 369 358 373 397 428 452 447 404 341 299 285 296 318 337 344 337 326 313 297 281 264 247 229 217 202 186 171 166 175 185 186 183 186 186 188 198 215 232 203 193 200 213 221 222 221 223 226 256 291 321 335 323 311 296 284 291 320 356 387 409 408 412 407 397 390 389 391 408 418 416 407 388 357 322 302 299 299 293 273 248 229 215 192 180 164 172 205 241 264 301 298 307 277 223 179 158 147 157 173 185 190 196 209 222 243 259 268 294 330 358 378 412 455 456 437 443 475 487 464 484 499 497 475 430 354 244 126 76 52 50 54 50 37 26 17 10 6 4 3 3 5 11 18 19 14 8 4 2 1 4 5 4 2 1 3 4 5 7 4 1 1 1 1 0 0 5 12 19 24 22 15 8 2 0 0 0 0 0 0 0 0 0 0 0
288 280 290 303 318 338 357 375 389 389 365 318 277 255 255 272 295 312 317 318 313 300 285 271 255 235 218 202 186 169 160 163 167 162 160 177 183 189 200 210 236 217 202 201 210 220 225 221 224 217 243 280 316 345 361 367 363 353 354 367 385 404 425 416 410 401 391 385 391 412 455 476 480 475 463 449 434 422 415 413 416 404 379 363 351 333 305 281 274 284 300 310 328 321 300 268 244 233 232 259 256 257 254 249 251 261 283 327 357 386 409 412 399 397 426 461 459 431 427 466 492 539 551 511 411 313 255 198 118 64 39 26 20 19 21 19 13 7 4 2 1 1 1 1 5 9 10 8 6 3 3 2 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 4 8 11 11 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0
239 240 251 268 292 309 318 325 335 347 348 320 273 244 229 231 245 263 278 291 297 295 286 273 256 236 218 201 184 167 156 152 151 145 137 161 179 190 202 217 241 239 227 224 226 227 221 210 214 210 225 252 283 314 340 362 393 396 401 407 412 421 436 435 424 410 400 402 418 445 483 507 519 521 515 499 474 461 415 375 372 384 391 396 398 373 336 302 279 267 264 257 250 233 211 195 198 211 213 241 276 293 300 304 311 324 346 389 418 442 438 404 371 365 395 451 462 454 469 516 570 584 530 466 355 239 165 94 55 38 29 22 15 9 9 8 7 6 3 1 2 3 3 2 3 5 7 7 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
265 266 267 271 283 300 313 319 325 339 350 333 284 247 225 216 218 227 240 254 267 273 268 252 230 210 193 180 169 160 151 144 139 136 133 150 173 186 194 211 233 241 244 251 244 227 206 186 188 193 197 207 223 243 262 284 356 379 400 415 424 435 448 457 449 426 409 414 436 448 456 462 458 438 407 368 329 328 257 202 189 205 230 254 264 241 210 184 174 176 178 173 167 163 160 163 177 204 226 258 285 310 333 352 373 397 406 410 403 383 354 323 300 298 334 398 439 466 493 509 511 503 448 367 261 152 77 39 33 31 27 21 12 6 3 2 2 2 1 1 2 4 3 2 2 4 5 4 5 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
313 303 292 284 283 287 295 301 311 329 347 337 295 258 234 221 214 211 211 217 224 226 217 199 179 164 153 148 146 144 141 135 128 130 134 142 155 164 170 184 204 223 250 260 254 238 209 159 154 163 171 179 184 181 175 188 257 301 337 359 369 382 401 415 391 337 292 279 289 302 302 284 249 199 148 112 104 108 81 60 47 45 56 75 86 75 59 51 56 70 77 76 83 115 115 103 106 122 145 178 212 250 283 314 351 386 372 343 303 263 233 217 202 193 215 265 331 389 415 419 440 444 343 219 121 59 29 23 25 27 26 20 12 4 1 0 0 1 2 3 3 3 2 2 3 4 4 4 5 5 5 4 3 2 1 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 0
356 332 311 300 299 300 304 304 303 306 309 299 272 249 231 216 204 195 187 185 179 173 165 153 140 128 120 119 120 121 119 114 111 113 106 110 120 130 142 158 177 198 244 253 256 255 230 176 139 141 156 169 160 132 106 107 146 183 208 217 218 224 245 260 222 161 111 86 77 84 87 77 57 33 13 3 8 10 12 10 5 2 3 7 9 8 6 5 4 6 8 12 10 3 0 4 13 25 34 46 74 115 154 183 209 227 218 193 159 124 98 85 89 79 84 103 132 170 220 267 292 252 160 77 32 14 8 9 13 19 22 20 12 2 0 1 1 2 4 5 3 1 1 2 3 3 4 7 8 7 9 11 12 10 6 5 5 4 2 1 1 1 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
390 362 337 323 316 307 288 271 262 259 260 255 242 221 203 195 192 188 178 165 151 141 131 119 110 105 101 96 94 99 99 94 93 92 79 78 87 102 121 139 151 176 224 233 234 229 209 168 129 131 140 133 105 69 47 41 50 63 73 76 73 71 73 80 62 37 18 8 2 0 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 24 45 64 74 70 66 59 48 35 23 19 23 20 22 29 34 40 62 106 102 62 23 5 3 2 1 0 4 9 14 12 6 1 0 0 1 2 3 4 3 2 1 1 2 2 3 6 8 10 15 16 13 9 10 9 9 7 4 3 2 2 3 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
426 401 364 334 317 313 298 273 253 240 233 229 223 214 208 203 195 184 170 148 129 116 107 102 103 104 98 86 77 78 77 74 72 70 63 61 69 82 105 130 136 155 181 186 177 162 148 133 112 111 91 61 34 16 9 5 5 7 10 11 10 7 4 4 3 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 3 9 10 5 4 5 6 6 4 3 5 6 8 12 15 16 15 25 20 10 2 0 0 1 0 0 1 3 4 4 1 0 0 0 0 1 2 3 3 2 1 1 2 2 3 5 13 17 19 19 17 15 15 13 12 9 6 4 4 3 4 8 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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