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 5 6 6 6 7 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 6 6 6 7 7 9 10 10 10 11 11 11 11 10 8 7 6 6 5 6 8 10 11 11 11 11 12 14 14 12 11 12 14 14 13 11 10 9 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 10 9 9 8 7 6 7 8 9 8 7 7 7 8 8 8 8 8 7 6 6 8 9 9 9 8 7 7 8 8 8 9 9 9 9 9 9 10 10 10 11 12 13 12 10 8 8 8 8 7 8 8 9 10 9 8 8 9 11 11 11 11 10 9 8 8 7 7 7 8 9 9 10 10 10 10 10 11 12 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 9 9 9 9 8 7 6 6 nan
nan 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 7 8 8 9 9 11 11 10 9 8 7 7 7 7 7 8 8 9 9 10 10 11 11 11 11 12 13 14 14 13 11 11 10 11 12 12 12 12 11 12 13 14 13 12 11 10 10 10 11 11 12 11 11 10 9 9 8 7 7 7 8 9 9 8 7 7 8 8 7 8 9 8 6 6 7 8 9 9 9 8 8 9 9 8 8 7 8 9 9 9 9 9 9 9 9 10 10 8 7 7 8 7 7 8 8 9 9 8 8 9 10 11 11 11 10 10 10 9 8 7 7 8 9 10 10 10 10 9 10 11 11 11 11 11 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 nan
nan 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 9 10 9 8 8 7 7 8 8 7 7 7 7 8 9 9 9 10 10 10 10 10 11 12 12 11 11 10 10 11 12 12 11 10 10 11 13 13 12 10 9 9 10 11 11 11 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 10 10 10 9 8 6 6 8 9 9 9 9 9 8 7 7 8 7 7 6 6 6 6 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 8 7 7 8 10 11 11 10 8 8 9 11 12 12 11 11 10 9 9 10 10 10 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 nan
nan 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 8 9 9 9 9 9 8 8 8 9 10 11 10 10 9 9 10 11 11 10 9 8 8 9 9 9 8 7 7 7 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 7 8 9 11 11 11 10 8 7 6 8 10 10 9 8 8 7 7 7 7 6 7 7 7 6 5 5 6 6 7 7 8 9 10 10 9 9 8 9 9 9 8 7 7 8 10 10 9 7 6 6 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 nan
nan 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 8 8 8 7 7 8 9 8 7 7 6 7 7 7 8 9 9 8 7 8 9 9 9 8 8 8 7 7 8 9 10 9 9 8 9 9 9 9 9 7 6 5 5 5 6 6 6 6 7 7 7 6 6 5 6 6 7 8 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 10 11 11 11 10 10 11 12 12 11 11 10 10 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 7 8 9 9 9 8 8 8 8 9 8 8 7 7 7 7 6 5 4 5 7 8 8 8 8 9 10 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 nan
nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 8 9 9 8 7 6 6 6 6 7 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 6 5 4 4 5 6 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 11 13 15 15 15 14 13 12 11 10 11 12 12 11 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 5 6 7 8 8 8 7 7 6 7 7 7 7 8 8 7 6 5 4 3 4 6 8 8 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 6 6 6 5 5 5 5 4 4 4 4 3 3 3 4 5 6 6 6 6 6 5 5 5 6 7 8 7 7 6 7 8 9 8 7 7 6 6 6 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 6 6 5 6 7 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 11 12 12 12 11 12 14 16 17 16 15 13 11 9 9 11 12 12 10 9 7 7 8 9 10 10 9 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 7 6 5 5 7 8 8 9 9 10 9 8 7 6 6 6 7 8 8 7 6 6 7 8 9 9 8 8 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 7 7 7 6 5 5 5 4 4 3 2 2 3 5 6 7 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 8 7 7 7 7 7 6 6 7 7 8 9 9 9 9 8 8 8 8 8 7 7 6 6 7 7 7 6 6 6 7 7 7 8 8 9 10 10 10 9 8 8 9 9 9 10 10 9 9 10 10 10 9 9 9 9 10 11 12 13 13 13 14 13 12 11 12 13 14 13 12 11 10 9 8 9 11 12 11 10 9 8 8 9 10 10 10 9 8 8 8 8 8 8 7 7 6 7 8 9 8 8 7 6 6 7 9 11 12 13 13 13 12 11 11 10 10 9 8 7 6 6 5 6 8 8 8 7 8 9 10 9 8 7 7 7 7 7 7 6 6 7 7 8 9 9 8 7 7 7 8 8 nan
nan 10 9 8 8 9 8 7 7 7 6 6 5 4 3 3 5 7 7 7 7 7 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 5 5 6 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 12 12 13 14 14 14 14 14 13 12 11 11 11 11 10 10 10 9 9 9 9 10 11 12 12 11 10 9 9 9 9 9 9 9 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 10 12 13 15 16 16 14 13 13 12 12 12 11 10 8 6 5 5 7 8 8 7 7 9 10 11 10 8 7 7 8 8 8 8 7 6 6 7 8 9 9 8 7 7 8 9 9 nan
nan 12 11 10 10 10 10 9 9 9 9 8 8 8 6 6 7 7 7 7 7 7 6 6 6 5 5 6 6 7 7 8 8 7 7 7 7 7 7 8 7 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 6 5 5 5 4 4 5 6 7 8 8 9 8 8 8 9 9 10 10 10 9 9 10 10 11 12 13 13 13 13 12 13 13 14 14 14 14 14 14 14 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 10 11 11 11 10 9 8 8 8 9 9 9 8 8 9 9 9 9 8 8 8 8 6 6 7 7 7 8 9 11 12 13 14 15 13 12 12 12 13 13 12 11 10 9 8 7 8 8 7 6 7 8 10 10 9 7 7 7 8 9 9 9 8 7 7 8 8 8 8 8 8 9 10 10 10 nan
nan 14 13 12 11 11 11 11 10 10 10 10 10 10 9 8 7 7 7 7 7 7 6 6 5 5 5 6 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 9 9 8 7 5 5 4 4 4 5 6 6 7 8 9 9 9 9 10 10 11 11 11 11 11 11 12 12 13 13 11 10 10 10 11 12 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 11 10 10 10 9 9 9 9 10 10 10 9 9 10 10 11 10 10 10 10 10 9 9 8 8 8 7 7 8 8 9 10 10 10 10 11 11 12 11 10 11 11 12 12 11 10 8 6 5 6 7 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 7 7 8 9 10 10 10 10 nan
nan 14 14 14 13 12 11 11 11 11 11 11 10 10 9 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 9 7 6 5 5 5 5 6 6 6 7 8 9 10 11 11 12 12 13 12 12 12 12 12 12 12 12 10 8 7 7 7 9 10 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 10 10 10 10 11 11 12 12 11 11 11 11 12 12 12 12 12 13 13 13 11 9 8 7 6 6 7 7 7 7 7 8 9 10 9 9 8 9 10 12 13 14 13 10 8 6 6 7 7 8 7 7 7 7 7 6 7 7 8 8 8 8 7 6 6 7 8 9 9 9 9 nan
nan 13 14 14 13 12 11 11 11 11 11 11 10 9 9 8 8 7 7 7 7 7 6 7 7 7 8 8 8 8 7 7 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 9 7 6 6 6 6 6 6 6 7 8 9 10 12 13 14 13 13 11 11 11 12 12 12 11 10 9 7 5 4 5 6 8 10 10 9 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 10 10 10 11 12 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 14 15 15 15 13 11 9 8 8 8 8 8 7 6 5 6 7 8 9 8 8 9 10 11 12 13 14 13 11 10 8 7 7 8 8 8 8 8 7 5 5 6 7 7 7 7 7 6 6 7 7 7 8 8 8 nan
nan 11 12 12 12 12 11 10 10 10 10 10 9 9 8 8 8 9 8 8 8 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 7 7 6 6 6 7 7 7 8 10 12 13 12 11 9 9 9 10 10 10 10 10 9 7 6 4 4 5 7 9 10 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 11 12 13 14 13 12 12 12 12 12 12 11 9 9 10 10 10 11 11 12 13 14 15 16 15 14 13 12 12 11 10 9 7 6 5 5 6 7 8 9 9 10 11 11 11 12 13 14 14 13 11 9 9 9 9 9 8 8 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 9 8 8 7 6 6 7 9 10 10 9 8 7 7 8 9 10 10 10 10 9 8 7 6 5 5 6 8 9 9 8 8 7 7 7 8 8 8 8 9 8 8 7 7 8 8 8 8 8 9 10 12 13 12 11 10 10 11 12 11 10 9 8 8 8 8 9 10 10 12 13 14 14 15 15 15 15 15 14 12 10 9 7 6 6 6 7 8 8 9 10 10 10 9 9 11 13 14 14 12 11 11 11 11 10 8 7 6 6 6 6 6 6 7 8 7 7 6 7 7 6 6 7 7 nan
nan 9 9 9 9 10 10 10 10 10 11 10 10 10 9 9 9 10 10 11 11 10 10 9 8 8 7 8 8 8 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 7 9 9 9 8 8 7 7 7 8 9 9 10 10 9 9 10 9 8 6 5 6 7 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 9 8 8 9 10 10 9 9 8 7 7 7 8 8 10 11 12 12 12 12 13 13 14 14 13 12 11 10 9 8 8 8 7 7 7 8 8 8 8 7 7 8 10 12 13 13 13 13 12 12 10 9 7 6 5 5 5 5 6 7 7 7 7 7 7 7 7 7 8 8 nan
nan 9 9 9 9 9 10 10 11 11 11 11 11 10 9 8 8 9 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 8 8 8 8 8 7 7 8 9 9 10 10 10 11 10 8 6 5 5 7 8 9 9 8 7 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 8 8 8 8 9 9 9 8 8 8 7 7 7 8 8 9 10 11 11 10 10 10 11 11 11 10 11 11 10 10 9 9 9 8 7 7 7 8 7 7 7 7 7 8 10 11 12 13 13 12 12 12 11 10 8 7 6 5 5 5 6 6 7 7 8 8 8 8 8 8 8 nan
nan 9 9 9 9 10 10 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 10 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 7 6 5 4 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 9 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 11 11 10 9 8 8 7 7 7 7 7 7 8 8 9 10 11 11 12 13 14 14 13 11 10 8 6 5 5 6 6 6 7 8 8 9 8 8 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 8 8 9 9 10 10 9 9 9 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 8 9 9 10 10 9 8 7 7 6 5 5 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 8 7 6 6 5 6 6 6 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 11 10 9 8 7 7 7 7 7 7 8 8 9 9 10 10 11 13 15 14 13 12 10 8 7 5 4 5 6 7 8 8 9 9 8 7 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 9 9 9 8 7 7 7 7 7 7 6 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 8 9 9 8 8 9 11 11 10 9 8 7 7 7 6 6 6 5 5 6 6 7 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 6 5 5 5 6 6 6 6 6 6 6 7 7 8 7 7 7 8 8 8 9 9 10 11 11 11 11 10 9 8 8 7 7 6 7 7 8 8 8 8 8 9 10 11 13 13 13 12 11 10 7 5 3 3 5 6 7 8 8 7 7 7 8 nan
nan 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 9 10 10 10 9 9 8 8 8 8 8 8 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 7 7 8 8 9 9 8 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 9 10 11 11 10 10 9 9 9 8 7 7 6 5 6 6 6 7 7 8 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 9 8 8 7 7 7 6 7 7 7 7 7 7 8 8 9 10 11 11 11 10 9 7 5 4 4 5 7 7 7 7 6 5 6 7 nan
nan 8 8 8 8 8 8 7 7 8 8 9 8 8 8 8 8 8 7 7 7 9 10 10 9 8 8 8 8 7 7 8 8 8 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 9 9 10 9 8 8 8 9 9 9 10 9 8 7 6 5 6 8 8 8 8 8 8 8 8 7 6 6 7 9 10 10 10 10 10 10 10 9 8 8 7 7 6 6 6 6 7 8 9 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 6 5 5 6 7 8 8 6 5 5 6 7 nan
nan 7 7 7 7 6 6 5 5 6 6 7 7 8 8 8 8 7 7 7 8 9 10 10 9 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 9 10 9 9 8 7 7 8 8 9 9 10 10 10 10 9 9 10 10 10 10 9 9 8 6 5 6 7 8 9 9 9 9 9 10 9 7 6 6 7 7 7 7 8 9 9 10 9 9 9 8 8 7 7 6 6 6 7 8 9 10 10 10 10 10 9 9 8 8 8 8 9 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 7 7 7 7 7 7 8 9 9 9 8 8 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 9 7 6 6 7 8 nan
nan 7 7 6 5 5 4 4 3 3 4 5 6 7 8 8 7 7 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 8 7 7 7 8 9 10 10 10 11 11 11 11 10 9 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 7 6 6 6 7 8 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 8 8 8 8 9 9 10 10 10 8 8 8 8 8 8 8 7 7 8 9 10 10 11 10 8 8 7 7 7 nan
nan 7 6 6 5 4 3 3 2 2 3 4 5 6 7 8 7 7 8 8 8 9 10 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 7 6 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 11 11 12 12 12 13 13 13 12 11 10 9 8 7 6 6 6 5 6 7 8 8 8 8 7 7 6 6 7 7 9 10 10 10 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 12 12 11 9 8 8 8 8 8 8 8 8 10 11 11 11 11 10 9 8 8 7 7 nan
nan 7 6 6 6 5 4 3 3 3 4 4 5 7 8 9 8 8 8 8 8 9 10 11 11 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 8 7 5 5 7 8 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 10 11 12 12 12 12 11 11 12 13 13 13 12 12 11 10 9 9 9 8 7 7 8 8 8 8 8 7 7 7 6 6 7 8 10 10 10 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 8 9 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 13 13 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 13 13 12 10 9 9 9 9 9 9 8 9 10 10 10 10 10 9 8 8 7 7 7 nan
nan 7 7 7 6 6 5 5 5 5 6 6 6 8 9 10 10 9 8 8 8 9 10 11 11 10 8 7 8 8 9 9 9 8 7 7 8 9 9 8 7 6 6 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 10 12 13 13 13 11 10 10 12 12 12 12 11 12 12 12 11 11 12 12 11 10 10 10 9 9 8 8 7 7 7 6 7 8 9 10 10 9 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 9 10 10 10 10 11 11 11 10 10 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 11 12 13 12 12 11 10 11 11 11 11 10 9 9 9 8 8 8 7 6 6 6 7 7 nan
nan 7 8 8 7 7 7 7 7 8 8 8 8 9 10 11 11 9 7 7 8 9 10 11 11 10 8 8 8 9 10 9 9 8 7 7 8 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 7 8 8 8 9 9 10 10 9 9 9 10 11 12 13 12 10 9 10 12 12 11 10 10 10 11 11 11 11 12 13 13 12 12 11 10 10 9 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 8 8 8 9 9 10 10 10 9 8 8 10 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 10 10 10 9 9 9 9 10 11 11 12 12 13 12 12 11 12 12 11 10 9 8 7 6 5 5 5 5 5 6 6 6 nan
nan 8 8 8 8 9 8 9 9 9 10 9 9 10 11 11 11 9 8 8 9 10 10 10 10 9 9 9 9 10 10 10 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 9 9 10 10 10 10 10 10 11 11 10 9 9 10 12 11 10 10 9 9 9 9 9 10 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 9 9 10 10 10 10 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 9 9 9 10 9 8 6 7 9 11 12 12 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 11 11 9 9 8 6 5 4 5 6 6 6 6 5 5 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 9 10 11 11 11 10 9 10 10 10 8 8 9 10 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 9 9 8 8 9 9 9 9 8 7 6 7 9 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 7 6 6 6 7 8 8 7 7 7 nan
nan 9 10 10 10 11 11 11 11 11 11 11 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 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 6 6 7 7 7 8 9 10 11 11 11 9 9 10 10 9 8 7 8 8 7 8 9 10 11 10 10 10 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 10 9 9 8 8 9 9 9 9 8 7 7 7 8 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 11 10 8 8 8 8 8 8 9 9 9 nan
nan 10 10 11 11 11 12 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 7 7 7 7 8 10 11 11 10 9 9 9 9 9 8 8 8 7 6 6 7 9 10 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 8 8 8 9 9 10 9 9 9 8 8 8 9 9 10 10 9 8 8 8 9 9 8 7 7 7 8 8 9 8 8 9 9 9 9 9 9 10 11 12 12 12 12 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 13 14 15 15 14 12 11 10 9 8 8 9 9 9 nan
nan 10 11 11 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 8 9 11 11 11 10 9 9 9 8 8 8 8 8 7 6 6 7 9 10 11 10 9 9 10 10 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 9 9 10 10 10 9 9 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 8 9 10 11 12 13 14 14 12 10 9 8 8 9 9 9 10 10 10 9 9 9 10 10 10 11 12 14 15 17 17 16 14 12 10 8 8 8 8 8 nan
nan 10 10 11 11 11 11 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 8 9 10 10 11 11 11 10 9 9 8 8 8 8 8 7 7 8 8 9 10 9 9 8 9 9 9 9 9 10 9 8 8 8 8 9 10 10 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 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 8 8 9 10 10 11 13 15 15 13 11 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 14 15 16 16 16 14 11 9 8 8 8 8 nan
nan 11 11 10 10 10 10 10 10 11 11 11 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 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 8 8 9 10 10 11 12 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 8 8 9 10 11 11 13 15 14 13 11 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 13 13 14 15 15 14 13 11 9 8 8 9 nan
nan 11 11 11 10 10 9 8 8 9 9 10 10 10 10 9 9 9 8 9 9 9 9 9 10 10 10 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 11 11 10 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 10 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 10 11 12 13 13 12 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 14 15 14 13 12 10 9 8 8 nan
nan 11 11 11 10 10 9 8 8 8 8 9 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 7 7 6 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 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 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 14 14 14 12 11 10 9 8 nan
nan 10 10 10 10 10 9 9 9 8 8 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 8 8 7 8 8 9 9 9 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 13 14 14 13 12 11 10 9 nan
nan 8 8 9 9 9 8 8 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 8 7 7 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 13 13 13 12 12 11 10 nan
nan 6 7 7 7 7 7 8 8 9 9 9 9 9 8 8 9 10 11 12 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 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 9 9 9 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 nan
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nan 8 8 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 10 10 10 10 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 10 11 12 13 13 12 10 9 9 8 8 7 6 2 -1 -1 1 4 7 9 10 11 11 10 10 9 9 9 10 10 9 9 8 9 10 12 15 16 14 11 7 4 1 2 5 7 9 13 16 15 13 11 9 9 8 5 3 2 3 5 6 6 6 6 7 8 9 9 9 10 11 11 11 nan
nan 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 11 11 12 12 12 12 11 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 11 13 13 11 10 9 8 8 7 6 3 0 -2 -2 2 7 9 10 10 10 10 9 9 8 9 9 10 10 9 8 8 9 12 15 18 17 15 12 8 3 2 3 5 8 11 13 13 12 10 9 9 8 6 4 3 4 5 6 6 6 6 6 8 9 10 10 10 11 13 13 nan
nan 9 8 8 8 8 7 7 7 8 8 8 9 9 9 10 10 11 11 11 10 9 9 9 10 10 11 12 12 11 11 10 10 10 10 9 10 10 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 8 10 13 13 12 10 9 8 8 7 6 4 2 -1 -2 1 6 9 10 10 10 10 10 9 9 9 9 10 10 9 8 8 9 11 14 16 17 18 17 13 8 6 5 5 7 9 11 11 10 10 9 9 8 6 4 4 4 7 8 8 7 6 7 8 9 10 10 11 12 13 14 nan
nan 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 9 9 9 9 10 11 12 12 11 11 11 11 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 10 13 14 13 11 9 8 8 7 7 6 4 0 -2 0 5 8 10 10 10 11 11 10 10 9 9 10 10 10 9 9 9 10 11 13 15 18 19 17 13 11 8 7 8 9 10 10 10 9 9 9 8 6 4 3 3 5 8 8 8 7 7 8 9 10 10 11 13 14 14 nan
nan 10 10 10 9 9 9 8 8 9 9 9 10 10 10 11 12 12 12 11 10 9 8 9 9 10 11 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 10 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 10 13 14 14 12 9 8 8 8 8 7 6 2 -1 -1 3 7 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 9 10 10 12 15 18 18 18 16 12 9 9 9 9 9 9 8 8 8 7 6 5 3 1 3 5 8 8 7 7 7 8 9 10 11 11 12 12 nan
nan 9 9 10 10 10 10 10 10 9 9 9 10 10 11 12 13 13 13 11 10 8 8 9 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 10 11 11 12 12 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 11 10 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 10 12 15 15 13 10 9 9 9 9 8 7 5 1 -1 1 5 7 9 9 10 10 11 11 11 10 10 10 11 10 10 10 10 9 9 10 11 13 17 19 19 16 11 9 8 8 8 8 7 7 7 7 7 6 4 2 1 3 6 8 7 7 6 7 7 7 6 6 6 7 nan
nan 8 9 9 10 10 10 11 10 10 10 10 10 10 10 11 12 13 12 11 9 8 8 9 10 11 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 10 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 9 8 9 9 10 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 9 9 8 10 12 15 17 15 12 10 10 9 9 9 9 7 3 -1 -0 3 6 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 14 18 20 18 13 10 8 8 8 7 7 7 7 7 6 6 5 3 1 2 5 7 8 7 6 6 6 4 2 1 1 2 nan
nan 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 10 9 9 8 9 11 12 13 14 13 12 12 12 12 11 11 10 8 8 8 8 9 10 11 12 12 12 12 11 11 11 11 11 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 9 9 10 10 10 9 8 8 9 13 16 16 14 12 10 10 10 10 9 8 4 -0 -1 1 6 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 17 19 18 14 11 9 8 8 7 7 7 7 7 7 6 6 4 2 2 4 7 8 7 6 5 5 4 2 1 -0 1 nan
nan 10 10 9 10 10 10 10 10 10 11 11 11 10 9 9 9 10 11 10 10 9 9 10 11 12 14 14 14 13 12 11 11 11 10 9 8 7 7 8 10 11 11 11 11 11 11 10 10 10 11 11 10 10 9 9 9 10 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 10 10 10 10 11 11 11 11 10 10 9 9 9 10 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 8 7 6 7 11 15 16 14 12 11 10 9 9 9 5 1 -1 -0 4 8 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 12 12 12 14 17 19 18 15 12 10 9 8 8 7 7 7 7 7 7 7 5 3 2 3 7 9 9 7 6 5 5 4 3 2 3 nan
nan 11 10 10 9 10 10 10 10 11 11 11 11 10 10 10 11 12 12 11 10 9 9 9 10 11 12 12 12 11 11 11 10 10 9 9 8 8 9 10 11 11 10 10 10 10 10 10 9 9 10 10 10 10 9 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 9 9 10 11 12 11 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 12 13 11 8 6 7 10 14 15 15 13 11 9 9 9 6 3 -0 -2 1 5 7 7 7 6 7 8 10 10 10 10 10 10 10 11 11 12 12 12 12 14 17 19 17 15 13 11 10 9 8 8 8 8 8 8 8 7 6 4 3 4 7 10 10 8 7 6 6 5 4 3 3 nan
nan 11 11 10 9 9 9 10 11 11 11 11 11 11 11 12 13 14 13 11 10 9 8 9 9 9 9 9 8 9 9 9 9 8 8 8 9 10 11 12 12 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 12 11 11 10 9 9 9 9 9 9 10 9 9 9 8 8 8 8 9 9 10 10 10 10 10 12 16 17 15 12 7 6 10 14 16 15 12 10 9 9 7 5 2 -1 -1 1 4 5 4 3 5 7 9 10 9 9 9 10 10 11 11 12 12 12 13 15 18 19 17 15 13 12 11 10 9 9 9 9 9 8 8 8 7 6 5 6 7 8 9 8 8 7 6 6 4 3 3 nan
nan 11 11 11 10 9 9 10 10 10 10 10 10 10 11 13 14 14 13 11 10 9 9 8 8 8 8 7 7 7 8 8 8 7 7 7 9 10 11 12 12 11 10 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 10 10 10 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 9 9 9 8 8 9 9 10 11 11 11 10 11 13 16 18 17 11 6 7 11 15 16 14 11 9 9 8 7 5 2 -0 1 2 3 3 3 4 7 9 9 9 10 10 10 11 11 11 11 11 11 12 16 19 19 17 14 13 12 12 11 10 10 10 10 10 9 8 7 6 7 9 9 9 8 7 7 8 7 7 6 5 5 5 nan
nan 12 12 12 10 9 9 9 9 9 9 9 9 9 11 12 13 13 12 11 10 10 9 9 8 8 8 7 8 8 8 8 7 6 7 8 9 11 11 11 11 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 11 13 17 20 16 10 7 8 12 14 13 11 10 9 9 8 7 5 3 3 3 2 1 1 3 4 6 8 9 10 10 11 11 11 11 11 10 10 10 14 18 18 16 14 13 13 12 12 11 11 11 11 10 9 7 6 4 5 8 10 10 9 8 8 8 8 7 7 6 5 6 nan
nan 12 12 11 9 8 8 8 8 8 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 8 9 11 12 12 11 10 9 9 9 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 9 8 8 8 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 12 16 21 20 16 12 8 9 11 11 11 10 10 9 8 8 6 5 4 3 2 0 -1 -1 -0 2 5 7 9 10 10 11 11 11 11 11 10 9 11 14 15 15 14 13 13 13 12 12 12 11 11 11 10 8 5 3 3 5 7 9 9 8 8 8 8 8 8 7 7 7 nan
nan 10 10 9 8 6 6 6 7 8 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 11 10 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 9 9 10 10 10 10 9 8 8 8 9 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 14 18 20 20 19 14 10 10 9 10 10 10 9 9 8 7 6 5 4 3 1 -0 -2 -3 -1 3 5 7 8 9 10 10 10 11 11 10 9 9 11 12 13 13 13 13 13 12 12 12 11 12 12 12 10 7 5 4 5 6 7 7 8 8 8 8 9 10 10 10 10 nan
nan 8 9 8 7 6 6 7 8 9 9 10 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 12 13 14 13 12 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 9 10 10 10 9 9 8 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 13 16 20 22 20 16 13 11 11 10 10 10 10 9 8 8 6 5 5 4 2 -1 -3 -2 1 4 7 7 7 6 7 7 9 10 11 10 10 10 11 12 12 12 12 12 12 11 11 11 12 14 16 15 13 10 8 7 6 6 7 7 7 8 10 11 12 12 12 11 nan
nan 8 9 8 8 8 8 9 10 10 10 10 10 10 10 12 12 12 11 11 11 10 10 9 9 9 9 9 8 8 8 8 9 11 13 15 15 14 12 11 10 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 11 11 11 11 11 10 10 10 10 10 10 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 11 13 18 23 23 21 19 18 16 14 14 13 12 11 9 8 8 7 6 5 4 1 -2 -3 -1 2 5 6 5 4 4 6 7 9 9 9 9 10 10 10 10 11 11 12 12 12 11 11 12 15 17 18 17 16 13 10 9 8 8 8 8 9 11 13 13 13 12 11 nan
nan 10 10 9 9 10 10 11 11 11 11 10 10 10 10 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 11 14 16 16 15 13 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 7 7 7 8 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 15 19 22 23 23 23 21 20 20 19 17 14 12 11 10 8 7 7 6 4 0 -2 -3 -1 3 5 6 5 6 6 7 8 9 9 10 10 10 10 10 11 12 12 12 12 11 10 10 11 13 15 15 15 14 13 12 11 11 10 10 10 11 12 13 12 12 11 nan
nan 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 11 14 15 15 15 14 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 14 15 18 20 21 20 21 23 24 22 18 17 16 16 15 12 10 9 8 7 5 3 4 7 9 10 10 10 9 9 9 10 11 12 12 11 9 9 10 10 10 9 8 8 6 5 6 8 12 14 15 16 16 16 16 16 15 14 12 12 12 12 12 11 11 nan
nan 9 10 10 10 9 9 10 10 10 11 12 12 13 13 12 11 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 12 13 14 14 14 14 13 12 11 10 10 9 9 9 9 10 11 11 10 10 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 14 15 16 17 21 24 24 22 21 21 23 23 21 18 15 13 13 14 14 14 14 15 16 16 15 14 13 12 11 11 11 11 10 8 7 7 7 6 5 5 5 4 4 5 8 13 18 20 21 21 20 20 20 18 16 14 13 12 11 11 11 11 nan
nan 9 9 9 9 9 9 10 10 11 11 12 13 13 12 12 11 10 10 10 10 10 11 11 12 12 12 13 13 12 12 12 12 12 12 13 13 13 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 10 10 10 10 9 9 8 9 9 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 13 16 19 19 19 19 20 22 24 24 22 19 17 15 15 15 16 16 16 16 16 16 15 14 12 10 9 9 10 10 9 8 9 10 10 10 9 9 9 9 9 11 14 17 19 20 20 20 19 18 16 14 13 12 12 11 11 10 10 nan
nan 8 8 8 8 8 9 10 11 12 12 12 12 12 11 11 11 10 10 10 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 9 9 10 11 10 10 10 10 10 10 9 8 8 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 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 12 13 13 13 13 14 16 17 18 18 17 15 14 12 12 12 12 12 12 12 12 12 12 13 12 13 14 15 16 14 14 15 17 18 18 17 15 14 13 11 11 11 12 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 nan
nan 8 8 8 8 9 10 11 12 12 12 11 11 11 11 11 10 10 11 11 12 12 13 13 14 14 14 14 13 13 13 12 12 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 9 10 10 11 11 9 8 8 8 9 9 10 10 10 10 9 9 9 9 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 13 14 15 17 18 18 18 17 16 16 17 17 17 15 13 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 nan
nan 8 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 13 14 14 14 14 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 10 11 11 10 10 9 10 11 12 11 10 8 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 10 10 8 7 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 8 9 10 11 10 11 12 13 13 14 15 15 14 13 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 13 nan
nan 10 10 11 11 11 11 10 10 10 9 9 9 10 10 10 11 12 12 12 12 12 13 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 12 11 11 10 10 10 11 11 11 9 8 8 9 9 10 10 11 10 10 9 9 10 10 11 11 10 8 7 7 7 7 7 6 7 8 9 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 11 11 12 12 11 10 8 6 3 1 1 2 4 5 7 8 9 10 9 9 9 10 11 13 13 10 6 3 2 5 9 11 11 11 10 11 10 11 11 11 11 10 9 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 11 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 10 10 11 11 11 12 12 11 10 10 10 11 11 10 9 9 9 9 10 11 11 11 10 8 7 7 8 9 10 12 12 10 8 6 5 4 3 2 2 3 6 8 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 12 14 15 14 13 10 8 6 3 1 -1 -2 -2 -1 1 3 6 7 7 6 5 7 9 14 15 12 6 0 -2 1 6 10 11 11 11 10 10 10 10 10 10 10 9 9 8 7 7 8 8 9 10 10 10 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 10 10 9 10 10 10 9 9 10 10 11 12 12 13 11 8 5 3 3 3 6 9 12 14 13 11 7 4 1 -2 -3 -4 -2 1 4 6 7 7 8 9 9 9 9 9 9 8 7 7 7 8 9 11 14 16 17 15 12 10 8 7 5 3 0 -2 -2 -2 -0 2 4 4 2 1 2 6 12 15 12 8 1 -3 0 5 9 12 12 11 11 10 10 10 10 11 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 nan
nan 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 9 10 10 10 11 12 14 15 15 13 9 5 1 -2 -0 2 7 12 15 15 12 7 3 -0 -3 -5 -6 -4 -3 -1 -0 1 2 4 6 8 9 11 10 8 6 3 2 3 5 7 10 14 16 16 15 13 12 11 10 8 6 4 2 1 2 3 4 4 2 1 1 4 8 11 11 9 4 1 3 6 10 12 12 12 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 11 11 10 10 10 11 11 11 10 10 10 9 9 9 9 10 11 11 11 11 12 12 13 14 14 13 13 13 13 13 13 12 12 12 12 13 13 12 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 13 15 18 19 18 15 9 4 0 -1 1 6 10 12 11 9 6 4 1 -0 -2 -2 -2 -2 -3 -3 -3 -3 -1 3 7 11 13 12 10 5 1 0 1 3 6 9 11 13 14 15 14 14 13 12 10 9 7 6 6 6 6 6 6 5 5 5 7 7 7 6 5 6 8 9 11 12 12 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 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
99 20 10 21 20 24 14 3 0 0 0 1 1 2 5 24 46 41 33 24 23 29 46 74 110 154 222 332 500 640 712 733 730 691 601 484 356 241 157 114 116 176 280 388 506 635 761 855 893 885 864 838 823 827 838 817 786 769 761 747 722 695 694 704 692 664 623 579 551 552 566 597 622 643 662 678 689 700 706 707 703 696 672 627 594 564 530 482 435 401 377 351 326 281 252 248 262 290 324 348 327 325 359 394 442 526 602 591 506 401 302 237 223 247 285 317 349 386 416 425 413 375 236 117 51 28 22 18 14 12 17 23 31 44 58 70 83 74 63 59 58 59 60 64 64 59 53 50 48 45 39 30 22 16 12 10 10 9 8 10 13 17 21 26 28 24 17 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
14 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 9 18 22 17 13 16 23 27 25 27 43 84 182 292 381 434 454 434 373 269 143 54 17 3 1 25 97 185 287 404 525 633 736 801 836 846 853 868 881 864 850 839 831 821 808 799 795 797 787 764 734 706 690 691 701 722 725 732 744 752 753 744 720 704 689 663 619 560 513 467 417 371 333 302 273 245 231 205 187 184 195 220 256 281 259 267 318 379 437 504 576 588 527 416 310 256 272 333 386 415 445 484 502 481 444 386 251 123 53 31 27 22 15 15 19 25 34 47 63 79 91 87 79 73 71 71 73 78 75 66 60 59 60 56 50 41 33 27 23 22 21 18 16 17 18 21 25 30 30 24 17 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 20 18 7 7 8 7 3 0 0 6 41 89 134 171 199 216 209 147 59 7 0 0 0 0 18 50 97 153 212 274 382 495 579 628 659 690 728 761 808 832 846 849 847 854 851 853 852 843 836 833 824 791 790 792 786 784 786 786 778 748 690 664 647 608 542 469 414 372 333 304 283 260 233 210 185 164 156 159 173 199 236 227 223 253 323 407 474 520 571 617 589 493 381 319 341 421 484 530 541 535 508 443 359 268 174 85 39 29 29 25 19 19 24 31 39 49 64 77 88 91 91 91 93 91 86 88 85 78 73 71 72 68 59 53 46 38 30 25 22 21 20 21 22 24 28 30 27 20 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 14 3 1 1 0 0 0 0 0 9 20 26 30 38 54 74 61 27 4 0 0 0 0 0 3 11 18 19 21 86 167 233 276 296 305 323 388 489 552 591 601 606 637 679 715 751 776 784 783 773 729 721 721 722 732 747 759 764 726 668 638 612 561 482 406 366 334 299 285 285 284 278 258 227 199 174 165 181 218 254 255 271 313 379 455 525 578 616 671 671 597 483 397 396 465 531 559 563 535 462 366 279 189 103 58 39 31 29 24 24 27 33 40 46 54 65 78 94 104 109 112 114 111 99 95 93 89 83 79 76 68 61 50 37 25 20 17 17 15 18 21 23 25 25 23 18 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 1 2 2 1 0 1 8 11 6 1 0 0 0 0 0 0 0 0 0 0 0 18 38 50 49 35 21 47 111 168 206 216 213 235 308 382 464 524 539 507 452 407 411 424 431 442 468 520 593 599 583 576 562 522 458 405 388 362 326 303 300 313 321 308 282 254 216 194 204 238 284 338 382 426 470 507 540 597 654 714 730 679 581 483 440 485 537 558 547 492 391 268 151 81 54 45 39 34 33 33 35 39 44 48 53 57 63 74 96 110 115 116 116 104 92 92 94 93 90 84 74 65 54 40 24 12 8 9 13 15 17 18 18 21 19 16 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 24 28 26 31 62 105 171 227 245 209 139 95 99 112 123 129 141 185 283 346 386 417 441 449 438 416 411 395 374 356 347 347 352 348 334 305 265 235 233 260 317 394 456 509 539 541 536 592 678 735 752 726 665 584 518 526 539 532 492 416 309 178 84 55 44 39 37 37 39 43 48 51 53 56 59 62 65 73 86 101 112 111 104 88 83 85 87 88 89 85 77 64 48 30 15 7 5 9 12 13 12 11 9 14 14 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 25 48 57 43 15 0 1 5 10 13 13 27 80 137 186 233 279 317 336 343 361 374 386 396 387 356 336 326 318 295 260 231 219 208 216 321 471 557 585 610 632 681 733 758 766 760 731 673 604 565 521 455 376 302 243 149 82 55 48 45 42 41 45 51 56 59 62 64 65 69 71 77 82 84 83 84 81 77 77 78 78 78 81 84 84 74 52 31 18 13 10 13 10 6 4 4 3 7 8 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 31 25 17 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 1 0 0 0 0 0 0 2 14 35 61 101 143 180 210 221 240 259 269 267 246 212 193 174 156 147 155 170 174 170 179 315 471 564 619 692 746 751 759 760 756 746 724 685 625 562 486 392 303 248 206 156 105 72 61 57 49 48 51 55 59 64 71 77 71 77 81 83 79 69 58 49 50 62 70 74 76 76 79 85 93 82 58 37 24 16 13 16 11 6 3 3 2 1 3 10 14 11 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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