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 9 9 10 10 10 10 10 11 12 13 15 16 17 17 15 13 12 11 10 9 9 10 11 11 11 11 10 10 10 10 10 10 10 9 8 7 6 6 9 11 10 8 7 8 8 7 7 7 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 10 10 9 8 8 8 8 8 8 9 9 9 8 8 8 9 9 8 8 7 7 8 9 8 8 8 9 10 9 8 7 6 6 7 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 9 9 8 8 7 7 8 10 10 9 8 8 8 7 7 8 9 9 10 12 13 13 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 11 11 11 11 11 12 12 12 12 12 nan
nan 8 8 8 8 9 9 9 9 10 11 13 15 16 17 16 15 14 12 9 8 8 9 10 10 10 10 9 9 9 10 10 10 10 9 8 7 6 7 9 10 9 8 7 7 8 8 7 7 7 7 7 8 9 10 11 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 8 8 8 9 9 9 9 8 8 8 10 10 9 8 8 7 7 8 8 7 8 9 9 10 9 9 8 7 7 8 9 9 8 8 7 7 8 9 10 9 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 6 7 8 8 8 8 7 7 7 7 8 9 9 11 13 13 11 8 8 9 9 9 9 9 7 7 7 7 8 8 8 9 10 11 11 12 12 13 13 12 13 13 13 13 12 11 nan
nan 8 7 6 6 7 8 9 9 9 9 11 13 14 16 17 17 16 14 11 9 8 9 9 9 9 8 8 8 9 9 10 10 10 9 8 7 7 8 9 9 9 8 7 7 8 9 8 7 7 6 7 7 8 10 11 12 11 11 10 10 9 8 8 8 7 7 8 8 9 9 9 9 9 9 8 8 7 6 7 7 8 8 9 9 9 8 8 8 8 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 10 9 8 7 7 8 9 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 7 7 7 7 6 6 7 7 7 8 8 7 7 8 9 9 10 11 11 10 8 8 8 8 8 8 9 7 6 6 6 7 7 8 7 8 8 9 10 11 12 13 13 13 13 14 14 13 11 10 nan
nan 8 7 7 6 6 7 8 9 8 9 10 11 12 14 16 16 16 15 14 12 11 10 10 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 9 9 8 7 6 7 8 10 9 8 7 7 7 8 8 10 11 12 12 13 12 12 11 10 8 8 7 7 8 9 11 11 11 10 10 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 7 7 8 9 9 9 8 7 8 8 8 8 8 8 7 7 8 9 10 11 11 10 10 9 9 7 6 5 5 6 7 8 8 8 8 9 10 10 10 9 8 8 7 8 9 8 8 8 8 7 7 7 7 8 7 7 7 6 7 8 9 10 11 11 12 12 13 14 14 12 10 8 nan
nan 8 7 7 6 6 6 7 8 8 9 9 10 10 11 12 13 14 15 16 14 13 12 11 11 10 10 10 9 9 9 8 8 7 7 7 8 9 9 9 9 8 8 7 7 8 9 9 10 9 9 9 9 10 10 12 13 13 14 14 13 12 11 10 9 8 8 9 10 11 12 11 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 5 6 6 6 6 7 8 9 9 8 8 8 7 7 7 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 10 11 11 11 11 11 10 8 7 6 5 4 5 6 8 9 10 10 10 10 10 9 8 7 7 7 8 9 9 8 7 7 7 8 8 8 8 7 7 6 7 7 8 9 10 11 11 11 11 11 12 12 10 9 8 nan
nan 6 6 6 6 6 7 7 7 8 8 8 8 8 7 8 10 12 14 15 15 14 12 11 11 11 11 11 10 9 9 8 8 8 8 9 9 9 9 9 8 8 9 8 8 8 8 9 10 11 11 11 11 11 12 12 13 13 13 13 13 12 11 11 10 10 10 10 11 11 11 10 9 9 9 9 9 8 8 7 7 8 8 8 7 7 7 7 7 6 6 5 5 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 6 6 6 8 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 11 10 10 9 7 6 5 4 4 6 8 10 11 11 11 10 10 9 8 8 8 8 7 7 8 9 8 6 6 7 8 9 9 8 7 7 7 7 8 9 11 11 11 11 11 11 10 10 10 9 9 8 nan
nan 5 4 5 5 6 7 7 7 7 7 7 7 6 6 6 8 11 13 14 14 13 12 12 11 11 11 11 10 9 8 8 8 9 10 10 9 9 9 9 8 8 9 8 8 8 8 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 9 8 7 7 7 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 7 6 7 7 7 7 7 6 6 7 8 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 9 8 7 6 6 5 4 5 7 9 10 11 11 10 10 9 9 9 8 8 8 7 7 8 8 7 6 6 8 10 11 10 9 7 7 7 7 8 10 12 11 10 10 10 11 10 9 9 8 8 8 nan
nan 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 8 10 11 12 12 12 12 12 12 11 11 11 10 10 9 8 8 9 10 10 10 9 9 8 8 8 8 8 8 9 10 12 12 10 9 9 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 7 7 8 7 7 7 7 8 8 8 8 8 9 8 7 6 6 7 8 10 11 10 9 8 8 7 7 6 6 6 6 7 7 7 7 8 8 7 6 6 8 9 9 8 7 6 6 6 6 6 6 7 8 9 10 10 10 9 9 9 8 8 8 7 7 8 8 7 7 7 8 10 12 12 10 8 7 6 6 7 10 11 11 10 9 9 11 11 10 9 9 8 8 nan
nan 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 11 11 12 12 12 12 11 10 10 9 9 9 10 10 10 9 9 8 7 7 8 9 11 12 12 10 8 7 6 5 4 3 3 3 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 8 7 6 7 8 10 10 10 9 8 8 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 8 8 8 7 7 7 8 7 6 4 4 6 9 10 10 10 9 9 8 8 7 7 7 7 7 7 6 6 6 7 9 11 12 11 8 6 5 5 7 9 10 10 9 8 9 10 11 11 10 10 9 9 nan
nan 8 8 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 10 12 13 13 13 13 12 11 10 10 10 11 10 10 9 9 8 8 9 10 11 12 10 9 7 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 7 6 7 7 7 7 7 7 6 5 5 6 6 7 8 8 8 7 7 7 8 9 8 6 4 4 7 10 12 12 11 10 8 8 7 7 6 6 5 5 5 4 4 5 7 8 10 11 11 9 7 6 6 6 8 9 9 8 8 8 10 11 11 11 10 10 10 nan
nan 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 7 9 11 13 14 16 16 15 14 12 11 11 11 10 10 9 9 10 10 10 11 11 10 10 8 6 5 5 6 7 8 8 7 6 5 4 3 4 4 5 5 5 5 6 6 6 6 6 7 7 7 6 6 7 7 8 8 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 8 9 9 10 10 10 9 9 8 8 9 9 8 7 7 7 8 8 8 8 7 7 6 7 8 8 8 9 9 8 8 7 7 7 7 7 6 5 6 9 11 12 13 12 10 8 8 7 7 6 6 5 5 5 4 5 6 8 8 9 11 11 10 9 7 6 6 7 8 8 8 8 8 9 10 10 10 10 10 10 nan
nan 7 7 8 8 8 8 8 7 7 7 7 8 8 7 7 6 6 6 6 7 7 7 7 8 9 10 12 14 16 17 17 15 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 7 6 6 7 8 9 9 8 6 5 4 4 5 6 6 5 5 6 6 7 6 7 8 9 9 8 7 7 8 8 8 8 7 6 6 6 6 7 8 9 10 10 10 9 9 8 9 9 9 8 8 7 7 6 7 7 8 8 8 9 9 10 10 10 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 9 9 9 9 9 8 8 7 6 6 6 6 6 7 9 10 10 10 9 8 7 7 7 7 7 6 6 6 5 5 6 7 9 9 9 9 10 10 10 7 5 5 6 6 6 6 7 8 8 8 8 8 8 9 9 nan
nan 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 10 10 11 12 14 16 16 15 14 13 12 12 12 12 11 11 9 9 9 9 10 11 11 9 7 6 7 7 8 8 9 8 6 5 4 5 7 8 7 6 6 6 7 7 8 8 10 10 10 9 8 8 9 9 9 8 7 6 6 6 7 7 9 10 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 9 8 7 6 7 9 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 6 6 7 7 7 7 8 7 7 6 5 5 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 7 5 5 5 5 5 5 7 8 8 7 6 6 6 7 7 nan
nan 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 11 11 10 11 12 13 14 13 13 12 12 12 13 13 12 11 10 9 9 10 10 11 10 9 7 7 7 7 8 9 10 9 7 5 5 6 8 9 9 8 7 7 8 8 9 10 10 10 9 9 8 9 10 10 9 8 7 7 7 7 7 7 9 10 11 9 8 8 8 8 9 10 10 11 11 11 11 11 10 11 10 10 8 6 5 7 8 9 10 10 9 9 9 9 9 8 8 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 8 8 7 6 6 5 5 6 8 9 9 8 7 6 6 6 6 6 5 5 6 6 6 6 6 7 8 7 5 5 5 5 5 5 6 7 7 7 6 6 5 6 6 nan
nan 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 7 8 9 10 10 10 9 9 10 11 11 11 11 11 11 12 12 12 13 12 12 12 12 11 11 10 10 8 7 7 8 8 9 10 11 11 9 7 6 7 9 9 9 8 7 8 9 10 10 9 9 8 8 8 9 10 11 10 9 9 8 8 7 7 7 7 8 10 9 8 7 7 7 8 10 11 12 12 12 12 11 10 9 9 10 10 10 8 6 5 5 6 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 7 7 7 9 10 10 10 10 9 9 9 9 9 8 7 6 6 6 6 5 6 6 7 6 6 5 4 4 4 4 5 6 7 7 7 6 6 6 6 nan
nan 7 6 6 6 6 7 7 7 7 8 8 8 9 8 8 8 7 7 7 7 8 8 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 14 13 12 11 10 9 8 8 8 9 9 10 10 11 11 9 7 6 7 8 9 8 8 8 9 10 11 10 9 8 8 8 9 10 11 11 10 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 9 11 11 11 11 11 10 9 8 7 8 9 10 11 10 8 6 4 6 8 9 9 8 8 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 12 12 11 10 9 8 7 7 7 6 6 6 6 6 5 4 3 4 4 5 6 7 7 7 7 7 7 nan
nan 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 11 12 13 13 13 12 11 11 9 8 8 9 11 11 11 12 12 9 6 5 5 6 7 8 8 8 9 10 11 12 11 10 9 9 9 10 10 10 10 9 8 8 8 9 9 10 10 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 10 8 7 7 8 9 9 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 12 11 10 8 8 7 6 5 5 6 7 7 6 4 4 4 4 5 6 6 6 7 7 8 nan
nan 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 10 11 12 12 12 11 11 11 10 9 9 10 12 12 13 13 11 8 5 5 5 6 6 6 7 8 9 10 11 12 12 12 11 11 10 10 10 10 9 8 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 10 9 8 6 5 6 7 8 9 8 6 5 4 4 4 4 4 5 6 7 8 nan
nan 10 9 9 9 10 10 10 9 9 8 8 8 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 8 7 7 8 9 10 10 10 10 11 11 11 10 9 9 10 11 13 13 13 11 8 6 6 7 7 7 7 7 8 9 10 11 12 12 12 11 11 10 10 9 9 8 8 8 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 9 10 9 8 7 7 7 7 6 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 11 12 13 13 12 11 9 7 6 7 7 9 10 10 9 8 7 5 4 4 4 4 5 6 7 nan
nan 10 10 11 11 11 11 11 11 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 8 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 10 11 13 14 14 12 10 9 8 9 9 9 9 8 8 9 9 10 10 11 11 10 10 9 9 9 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 10 10 9 8 7 7 7 7 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 7 7 8 9 9 9 9 9 8 9 9 9 9 9 9 9 8 9 9 10 10 10 10 11 11 11 11 11 12 12 12 11 10 10 9 9 9 10 11 12 11 10 9 7 5 5 4 4 5 6 7 nan
nan 11 11 11 12 12 11 11 10 10 10 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 9 8 8 7 7 6 7 7 7 8 8 8 9 9 9 9 9 9 10 11 12 13 14 12 11 10 10 11 11 11 10 9 9 8 8 9 10 9 9 9 9 9 9 8 8 8 8 7 7 6 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 9 10 10 10 9 9 8 7 7 6 6 7 7 7 8 9 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 7 7 8 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 10 10 10 11 11 11 11 12 12 12 12 12 10 8 7 7 6 5 5 5 6 nan
nan 11 12 11 10 10 9 9 8 8 9 10 10 9 9 8 7 6 7 7 8 9 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 9 9 10 10 10 11 12 12 11 10 10 11 11 11 11 10 10 9 8 8 9 10 9 9 8 8 8 8 8 9 8 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 6 7 8 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 9 9 9 9 9 8 8 7 7 8 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 11 11 10 9 9 9 9 7 6 5 6 nan
nan 11 11 9 8 7 7 7 8 8 9 10 10 10 9 8 7 7 7 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 9 10 10 10 10 9 8 8 8 9 9 8 6 5 5 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 6 7 8 9 8 8 8 9 9 8 6 6 6 7 7 8 8 8 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 7 8 9 9 9 10 9 9 9 9 10 10 10 11 10 10 10 10 10 9 8 7 6 6 nan
nan 11 9 8 6 6 7 8 8 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 10 10 10 10 9 9 10 11 12 12 12 12 11 11 10 11 11 11 11 10 10 9 8 8 8 8 8 6 4 4 5 7 8 8 8 8 7 7 7 7 7 7 7 6 5 5 5 5 6 8 8 8 8 7 8 8 8 7 6 7 7 8 8 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 8 8 9 9 9 9 9 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 10 10 10 9 9 9 8 8 9 10 10 10 10 9 9 8 8 7 7 7 nan
nan 10 9 8 7 7 7 8 8 8 9 9 8 8 7 6 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 11 12 12 11 11 11 10 9 8 8 7 6 4 3 4 6 8 9 8 8 8 7 7 7 7 7 7 6 6 6 5 5 5 6 7 8 8 8 7 7 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 10 10 10 10 8 7 7 6 7 7 7 nan
nan 11 10 9 8 8 8 8 8 8 8 9 8 7 5 5 6 7 8 9 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 11 12 12 11 10 10 10 10 10 8 7 5 4 4 5 7 9 9 9 8 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 7 7 7 7 7 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 9 10 9 9 8 8 9 10 10 10 10 9 9 9 9 9 10 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 9 9 9 9 10 11 11 11 9 7 7 7 7 7 7 nan
nan 11 10 9 9 10 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 11 11 10 10 10 10 11 11 9 7 6 6 6 7 9 9 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 9 10 11 10 10 9 9 9 9 10 10 10 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 10 10 10 11 11 11 10 9 8 8 8 7 7 nan
nan 11 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 9 9 9 9 10 10 10 9 9 9 9 8 8 8 9 9 9 9 10 10 9 9 10 10 11 11 11 10 9 9 10 10 11 11 9 8 8 8 9 10 10 10 9 9 8 7 7 8 7 7 7 8 8 8 7 7 7 7 7 6 7 7 7 7 6 6 6 6 6 7 7 6 6 7 8 8 8 8 9 10 11 11 10 9 8 8 9 10 10 10 10 9 9 10 10 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 10 9 9 9 9 9 8 nan
nan 11 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 10 9 10 10 11 10 9 8 8 9 10 10 11 11 11 9 9 9 10 10 11 11 10 10 9 8 8 8 8 7 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 6 5 4 4 5 5 5 6 6 7 8 9 9 9 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 10 10 10 9 9 9 9 9 9 8 nan
nan 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 8 8 8 8 8 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 9 8 7 7 8 10 11 11 11 10 8 9 10 11 12 12 12 11 10 10 9 9 9 8 8 7 8 8 9 10 10 10 9 8 7 6 6 7 7 7 6 5 4 4 5 5 5 6 6 7 8 8 9 10 11 11 12 12 11 10 9 9 9 10 10 11 10 10 10 10 10 10 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 10 10 11 10 10 10 11 11 10 10 9 8 7 8 8 9 9 8 nan
nan 9 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 10 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 8 8 8 8 9 9 10 10 10 9 8 8 9 10 11 12 13 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 9 8 7 6 6 7 7 7 6 5 4 4 5 6 6 6 6 6 6 7 7 8 10 11 11 12 12 11 10 10 9 10 10 11 11 11 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 8 7 6 7 7 8 8 nan
nan 10 9 9 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 9 9 10 10 10 10 10 9 9 8 9 10 10 11 12 12 12 11 10 10 10 10 10 9 10 10 10 9 9 10 10 9 8 7 7 7 8 8 7 6 4 3 4 5 7 8 7 7 6 6 6 7 9 10 11 11 12 11 10 10 10 10 10 10 11 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 10 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 10 8 7 6 6 7 8 nan
nan 12 11 10 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 7 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 9 10 10 10 10 10 10 9 8 8 9 10 10 10 9 9 9 9 9 10 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 8 7 8 8 8 8 7 6 5 6 6 7 8 8 7 6 6 7 8 9 9 10 11 11 11 11 10 10 10 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 10 10 9 9 9 9 9 9 9 10 11 11 10 10 9 8 7 7 7 nan
nan 11 11 11 10 10 9 9 9 9 9 9 9 8 9 9 9 10 10 11 10 10 9 8 8 8 9 9 8 7 6 6 6 7 7 6 7 7 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 9 10 10 10 9 9 9 9 10 10 11 12 11 10 10 9 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 6 7 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 8 nan
nan 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 9 9 9 10 10 10 9 8 7 8 7 7 6 6 7 7 8 8 9 10 11 12 12 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 7 8 9 10 10 9 9 8 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 7 7 8 8 8 8 9 9 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 nan
nan 11 11 10 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 10 11 11 11 10 9 8 8 8 7 6 5 5 6 7 7 8 9 11 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 9 9 9 8 8 8 8 9 9 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 9 nan
nan 13 13 11 10 9 8 7 7 6 6 7 8 8 8 8 8 8 9 10 10 10 9 9 9 9 10 11 10 9 8 8 8 7 6 5 4 4 5 5 6 7 8 10 12 13 13 13 12 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 9 9 10 10 10 9 9 9 8 8 8 8 7 7 8 9 9 9 9 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 9 9 10 9 9 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 9 nan
nan 14 13 13 12 11 10 9 8 7 6 6 7 7 8 8 7 7 7 8 9 9 8 8 8 8 9 9 9 8 7 7 6 5 4 4 3 3 4 5 6 7 8 9 11 13 14 13 12 10 9 8 8 8 7 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 9 8 7 6 6 7 8 9 9 9 9 9 9 8 9 10 11 12 12 12 12 11 11 10 10 10 11 10 10 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 nan
nan 12 11 11 11 11 11 10 9 8 7 6 7 8 8 8 7 6 5 6 7 8 8 7 7 6 7 8 8 7 7 6 6 6 5 5 4 4 5 6 7 7 8 8 11 13 14 14 13 11 9 8 7 7 7 7 7 8 8 8 8 8 9 10 10 10 9 10 10 11 11 10 9 8 7 7 7 8 8 9 8 8 8 8 8 8 8 9 10 9 9 9 9 10 10 10 10 10 10 9 8 7 6 6 6 6 7 8 8 8 8 8 8 8 9 10 12 12 12 12 12 12 11 10 10 9 10 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 nan
nan 10 9 9 9 10 11 10 10 9 9 8 8 8 8 9 8 7 6 6 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 9 10 12 14 15 14 12 10 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 10 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 9 9 10 9 9 9 9 8 7 6 5 5 6 6 6 5 5 5 5 6 7 7 9 11 12 13 13 12 12 11 10 10 9 9 10 10 10 11 11 11 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 10 nan
nan 9 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 9 10 12 14 15 15 12 10 9 9 9 10 10 9 9 9 10 10 10 9 10 10 10 10 10 10 11 10 9 8 7 6 6 6 6 6 6 6 7 8 8 8 9 9 9 9 8 8 9 10 10 10 9 9 9 8 7 6 5 5 6 6 6 5 4 3 4 5 6 7 7 8 10 11 12 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 nan
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nan 8 8 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 9 8 7 7 8 9 10 11 11 11 12 12 11 11 11 11 12 12 12 11 10 10 9 10 11 11 11 12 12 12 12 12 13 13 13 14 14 14 14 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 12 16 18 17 13 9 7 6 6 6 6 6 4 3 4 6 9 10 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 11 13 14 13 9 4 -1 -3 -1 3 6 7 9 10 12 12 12 11 10 10 8 5 4 5 8 9 9 8 8 7 7 6 6 6 6 7 8 8 nan
nan 7 7 8 8 8 8 9 9 10 10 11 12 13 12 12 12 11 10 9 9 9 9 8 8 8 8 9 10 11 11 12 12 11 11 11 12 12 12 12 11 11 10 9 9 10 10 11 11 11 12 12 12 12 13 13 13 14 14 14 14 14 13 13 13 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 11 15 18 17 14 11 8 7 7 7 7 7 4 2 2 5 9 10 10 10 10 9 8 7 7 8 8 9 10 11 11 10 10 11 14 18 18 17 13 7 1 -1 -1 1 2 3 6 8 10 11 11 11 11 9 6 5 6 9 11 11 10 9 8 8 7 7 6 6 6 8 9 nan
nan 8 8 7 7 6 7 8 9 10 11 12 11 11 11 11 10 9 8 8 8 9 9 9 8 8 8 10 10 11 11 12 12 11 11 12 12 12 12 11 11 10 9 9 9 9 10 11 11 11 12 12 12 12 12 13 13 13 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 10 10 9 10 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 9 9 9 13 17 17 15 12 9 8 7 8 8 8 5 3 1 3 7 9 10 10 10 10 9 8 8 7 8 9 9 10 11 10 10 11 13 16 19 20 20 16 9 4 0 -1 -1 1 4 6 8 10 11 11 11 9 6 4 5 8 11 12 12 12 10 9 8 8 7 6 7 8 10 nan
nan 9 9 9 8 7 7 8 9 10 10 10 9 9 9 9 9 8 8 8 9 9 10 9 8 8 8 10 10 11 11 11 11 11 12 12 12 12 11 10 9 8 8 8 8 9 10 11 11 12 12 12 12 12 12 12 13 13 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 9 9 9 10 10 11 11 10 9 9 10 10 11 11 10 10 10 11 11 11 11 11 10 10 10 9 8 8 10 14 16 15 12 9 7 7 8 8 8 7 4 1 1 4 7 9 10 9 10 10 10 9 8 8 8 8 9 9 10 10 10 11 13 15 19 22 22 18 13 8 4 3 4 5 7 8 9 10 11 10 9 6 2 1 3 8 12 13 12 11 10 9 8 8 8 8 9 11 nan
nan 11 11 11 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 8 9 9 9 9 8 8 8 10 10 11 11 11 11 11 11 12 12 12 11 10 9 8 7 7 8 9 10 11 12 13 13 13 13 12 12 12 13 13 14 14 14 14 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 13 13 12 12 11 11 10 10 10 10 10 9 8 8 9 10 11 11 10 9 8 9 9 10 11 10 10 10 11 11 11 11 11 11 10 10 9 8 7 9 12 14 15 13 9 8 8 8 9 9 9 5 1 -0 2 5 8 9 9 10 11 11 10 9 8 8 8 8 8 9 9 10 10 11 12 16 20 23 23 20 15 11 8 7 7 8 8 9 10 10 10 10 7 3 -0 -0 4 9 12 12 11 10 9 9 9 10 10 11 12 nan
nan 11 11 12 12 12 11 11 10 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 8 9 10 10 11 11 10 10 10 11 11 12 12 11 10 9 8 7 7 8 10 12 12 13 13 14 13 13 13 13 13 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 11 11 10 10 10 10 10 9 8 8 8 9 10 11 11 10 9 8 8 9 10 10 10 10 10 11 11 12 12 12 11 10 10 9 8 8 9 12 14 16 15 11 9 8 8 9 10 10 8 3 -1 -1 3 6 8 9 10 10 11 11 10 10 9 9 8 8 8 9 9 10 10 11 13 15 19 21 22 19 14 11 9 8 8 9 9 9 10 10 10 9 6 2 0 2 7 11 12 11 9 9 9 9 9 9 8 9 nan
nan 10 11 12 12 12 11 11 11 10 10 10 9 9 9 9 10 9 8 8 8 8 9 10 9 9 9 9 10 10 10 10 10 10 10 11 12 12 11 10 9 8 8 9 10 12 13 13 14 14 14 14 13 13 13 13 13 13 13 14 14 14 13 13 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 9 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 9 10 10 11 11 11 11 11 10 10 9 9 9 10 12 15 17 17 13 11 9 9 10 11 11 9 5 1 -1 1 5 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 14 18 20 20 16 12 9 8 9 9 9 9 9 9 10 10 8 5 2 1 4 8 11 11 9 8 8 7 6 3 2 4 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 9 10 10 9 8 8 8 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 10 12 13 14 14 14 14 14 14 13 13 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 11 11 10 10 9 9 9 9 8 9 10 14 17 18 16 13 11 10 10 11 11 11 7 3 0 1 5 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 12 15 18 18 15 12 10 9 9 8 9 9 9 9 10 10 10 7 3 1 2 7 10 11 9 8 7 6 4 0 -1 1 nan
nan 12 12 11 10 9 9 8 8 9 9 9 9 9 8 7 7 8 8 9 9 10 10 9 8 8 7 7 8 9 9 9 9 9 10 10 10 10 10 9 9 9 10 12 13 15 15 15 14 14 14 14 13 13 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 12 12 11 11 10 10 10 10 11 11 11 10 9 9 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 7 7 9 13 16 17 15 13 11 11 11 11 11 9 4 1 1 4 7 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 12 14 17 17 15 12 10 9 9 9 9 9 10 10 10 10 10 9 5 2 3 7 11 11 9 7 6 6 5 2 0 2 nan
nan 12 12 11 9 7 7 7 7 8 9 9 9 8 8 7 8 8 9 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 10 9 9 9 9 9 9 10 12 14 15 16 15 15 14 14 13 13 13 13 13 12 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 10 9 8 8 9 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 12 12 11 9 8 9 12 15 16 16 14 12 11 11 11 9 5 1 -2 -1 2 5 7 7 7 7 8 8 8 7 7 7 7 8 8 9 10 10 10 11 12 15 16 16 14 12 10 9 9 9 10 10 10 10 11 11 11 10 8 6 6 8 11 11 9 8 7 7 6 4 1 1 nan
nan 11 10 9 8 7 7 7 8 8 8 8 8 7 7 8 8 9 9 10 10 10 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 9 11 13 14 16 16 16 15 14 14 13 13 13 13 13 13 13 13 12 12 12 11 10 10 10 10 10 11 11 12 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 12 12 12 13 15 16 15 13 9 8 11 15 17 16 14 11 10 11 9 6 2 -2 -4 -3 -1 1 2 2 4 7 9 8 7 7 7 8 8 9 9 10 11 11 11 13 15 16 15 13 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 9 9 9 10 9 8 5 2 0 nan
nan 8 8 8 8 7 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 11 12 14 15 16 16 15 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 10 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 10 10 11 10 10 10 10 10 10 10 9 9 8 7 7 8 9 10 12 13 13 12 12 14 16 18 18 13 8 8 11 16 17 15 11 10 10 9 8 6 2 -1 -3 -3 -3 -3 -1 2 5 8 9 9 9 9 10 10 9 10 10 10 10 11 13 16 17 15 13 11 10 10 10 10 10 10 11 11 11 11 10 10 12 13 12 10 8 8 9 11 12 12 10 7 3 2 nan
nan 7 8 9 9 8 8 8 7 7 7 7 7 8 9 10 11 11 11 11 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 11 13 15 16 16 15 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 11 12 12 12 12 11 10 10 9 9 9 10 10 10 9 9 9 10 10 9 9 8 9 10 11 11 11 10 10 11 11 11 10 10 9 8 8 8 8 9 10 11 12 13 13 12 12 14 18 21 17 11 8 8 12 14 13 11 9 9 9 9 9 7 4 2 0 -1 -3 -3 -1 2 5 8 9 10 11 11 11 10 10 10 9 8 8 11 14 16 15 13 11 10 9 9 9 9 10 10 11 11 10 8 7 7 10 11 12 10 10 11 12 13 13 11 7 4 3 nan
nan 8 9 10 9 9 8 7 7 7 7 7 8 9 10 11 11 12 11 11 11 10 10 9 9 9 8 7 7 6 6 7 7 8 8 9 10 10 10 10 9 9 9 9 11 14 16 16 16 15 14 13 13 13 13 13 12 13 13 13 13 13 13 13 13 12 12 11 11 11 12 12 12 12 12 11 10 9 9 9 9 10 10 9 9 9 10 11 10 9 8 8 10 11 11 11 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 11 12 12 12 12 13 17 22 21 16 12 8 8 10 10 9 8 8 8 8 8 9 8 7 6 4 1 -2 -4 -3 -0 4 7 9 11 11 11 11 10 9 8 7 5 6 9 11 12 12 10 10 9 9 9 9 10 10 11 11 9 7 4 3 5 7 10 11 11 11 12 13 13 11 8 5 5 nan
nan 10 10 10 9 9 8 7 7 7 7 7 8 9 10 11 12 12 12 12 11 11 11 10 10 9 9 8 7 6 6 6 7 8 9 10 11 11 10 9 8 7 7 8 10 12 15 15 16 15 14 13 13 13 13 13 13 13 13 14 14 14 13 13 13 13 12 12 12 12 11 11 12 12 11 11 10 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 11 11 12 12 11 12 14 18 21 21 19 14 10 8 7 7 7 6 6 7 7 8 9 9 9 8 5 1 -3 -5 -4 1 5 8 10 10 11 11 10 10 9 7 4 4 5 7 9 10 10 9 9 8 8 9 10 12 14 14 13 9 6 4 5 6 8 10 11 11 12 13 13 12 10 9 9 nan
nan 10 10 10 9 9 8 8 7 7 7 8 8 9 10 11 12 12 12 12 12 12 12 11 11 10 10 9 7 6 6 6 7 8 9 10 11 9 8 7 6 5 5 7 9 11 13 14 15 15 15 14 14 14 14 14 13 13 14 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 11 11 10 9 9 9 9 9 8 9 9 10 11 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 14 17 20 22 20 15 12 10 8 7 7 7 7 7 7 8 9 10 10 9 7 2 -2 -3 -1 3 7 9 9 9 8 8 8 9 8 7 6 6 7 8 9 9 9 9 9 9 10 11 14 18 21 20 18 14 11 9 9 9 9 10 10 11 12 12 12 12 11 11 nan
nan 10 10 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 12 12 12 12 12 12 11 10 10 9 8 7 6 7 7 8 9 10 9 8 7 6 5 5 6 8 9 10 12 13 14 15 15 15 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 8 9 10 11 10 10 10 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 11 11 11 14 18 22 23 21 19 17 15 14 13 12 11 9 8 9 9 10 11 11 11 7 1 -2 -3 -1 3 6 6 6 6 6 7 8 9 8 8 8 9 9 10 10 10 11 12 13 13 14 16 20 23 24 24 22 18 14 11 10 10 10 10 10 11 12 12 12 12 11 nan
nan 10 10 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 11 12 12 12 12 11 11 11 10 10 9 8 8 8 8 9 9 10 10 9 9 8 7 7 8 9 9 10 11 12 13 14 14 15 15 15 15 15 15 15 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 10 8 7 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 15 19 21 22 23 22 22 21 21 20 17 14 13 12 12 12 12 13 14 12 7 1 -3 -2 1 3 5 5 5 6 8 9 11 12 13 13 13 13 13 14 15 16 17 17 17 16 15 16 18 20 20 20 19 16 14 12 12 11 10 10 11 11 12 12 12 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 10 10 10 11 11 12 12 12 11 11 10 9 9 9 9 10 11 11 12 13 14 15 15 15 15 15 15 15 15 14 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 12 11 9 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 11 12 13 15 17 19 20 20 21 23 24 23 21 20 20 20 19 18 18 18 19 17 15 10 8 9 10 11 11 10 10 11 13 15 18 20 21 19 16 15 15 17 16 15 14 14 12 9 9 10 14 17 17 18 17 17 16 16 15 13 11 11 11 12 12 12 11 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 11 10 10 10 10 10 10 11 12 13 13 12 12 12 12 12 12 11 10 9 9 9 9 10 10 11 12 13 14 14 15 15 15 15 15 15 15 14 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 11 11 12 12 12 11 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 15 15 17 19 23 25 24 24 24 26 27 27 26 25 26 26 26 24 22 21 20 20 20 19 19 18 18 18 20 22 22 19 15 11 11 11 9 8 6 6 5 4 4 6 12 17 20 21 22 21 20 20 18 16 14 12 12 12 12 11 11 nan
nan 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 10 12 13 14 13 11 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 12 12 13 14 14 14 15 15 15 15 14 14 13 13 13 14 14 14 13 13 13 12 11 9 9 9 10 11 11 12 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 15 18 20 20 20 21 22 25 27 28 27 26 25 24 23 23 22 22 22 22 22 22 22 20 18 18 18 19 16 12 9 8 10 9 8 6 6 6 6 6 8 12 17 19 21 22 22 20 19 17 15 13 12 11 11 11 11 11 nan
nan 10 11 11 10 10 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 10 10 10 9 9 10 11 12 12 11 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 14 15 16 16 16 15 14 14 13 13 13 14 14 14 14 14 14 13 11 9 9 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 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 10 10 10 10 11 11 11 12 13 14 14 14 14 15 17 18 20 20 19 18 17 16 16 17 17 18 18 18 18 19 19 18 18 18 20 19 15 13 13 15 16 17 15 14 13 12 11 11 12 13 15 16 16 16 15 14 13 12 11 11 10 10 10 10 11 nan
nan 11 11 11 10 9 9 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 10 11 11 11 10 10 10 11 12 12 13 13 12 12 11 11 10 10 10 10 10 11 12 13 14 15 16 16 16 16 16 15 14 13 12 13 13 13 13 13 14 14 14 12 11 10 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 10 10 10 10 10 10 9 9 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 10 10 10 11 11 12 12 12 11 11 12 12 12 13 13 13 13 13 13 12 13 14 14 15 15 14 15 17 17 17 18 20 20 18 16 15 16 18 18 18 16 15 13 12 11 11 11 11 12 12 12 11 11 11 11 11 10 10 9 9 10 11 nan
nan 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 10 10 10 11 12 13 13 13 12 12 11 11 11 11 11 11 10 11 12 12 13 14 15 15 15 15 16 15 14 13 12 12 11 11 11 11 12 13 13 13 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 10 10 10 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 12 11 11 9 8 7 7 8 10 10 11 11 11 11 11 11 12 12 12 12 11 10 9 9 9 11 13 13 12 12 13 14 14 15 16 16 15 14 14 13 14 14 13 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 10 11 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 11 12 12 13 12 12 12 11 11 11 11 11 10 11 11 12 12 13 14 14 14 14 14 14 14 14 13 12 11 10 10 10 11 12 12 12 11 11 11 11 11 10 10 10 9 9 9 10 11 11 12 11 9 8 8 8 8 7 7 7 8 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 9 9 10 12 13 14 14 13 11 10 7 4 2 1 2 4 6 7 9 10 10 10 10 10 11 11 12 12 10 6 4 3 6 10 11 12 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 nan
nan 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 12 13 14 15 15 15 14 13 13 14 14 14 14 13 12 11 11 12 12 11 11 11 11 11 11 11 11 9 7 6 6 7 8 10 12 13 11 9 7 6 5 3 2 2 3 6 8 9 10 11 11 12 12 11 11 10 10 9 8 8 8 9 9 11 12 15 16 16 14 12 10 7 4 1 -2 -3 -2 -0 1 4 6 7 7 6 6 7 9 12 13 11 7 2 -1 1 6 10 11 11 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 10 10 9 9 10 10 10 10 9 9 nan
nan 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 13 13 13 12 12 11 11 11 11 11 12 12 14 15 16 16 16 14 13 13 13 14 15 15 15 14 13 13 12 12 11 11 11 11 11 12 12 13 11 8 5 3 1 2 5 8 12 14 14 11 8 5 1 -1 -3 -4 -2 1 4 6 7 8 9 10 11 11 11 10 9 8 7 6 6 7 8 10 12 15 15 14 12 10 8 6 4 2 -0 -1 -2 -1 -0 2 3 4 3 2 3 5 9 13 13 10 5 1 1 5 8 10 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 10 9 9 nan
nan 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 12 12 12 12 12 12 12 12 13 14 15 15 15 15 14 13 12 12 12 13 13 14 14 14 13 13 13 12 12 11 11 12 12 13 14 16 16 15 11 7 2 -1 -1 2 6 11 15 15 13 9 5 1 -2 -5 -6 -5 -3 -0 1 2 3 5 7 9 10 11 11 8 5 2 1 1 3 5 7 10 11 12 11 10 9 9 8 7 5 4 2 1 1 2 3 4 3 2 2 3 7 11 13 13 10 6 6 7 9 11 11 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 nan
nan 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 13 13 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 13 14 16 19 21 21 19 14 7 2 0 0 4 10 13 14 12 9 7 3 0 -2 -3 -3 -3 -3 -4 -3 -3 -1 3 7 11 13 12 9 4 1 -1 -0 1 3 5 7 8 9 9 9 9 10 10 9 8 7 6 5 4 5 5 5 4 4 4 6 9 10 11 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 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
14 1 0 0 2 1 7 27 51 68 91 124 142 143 141 153 181 207 230 253 281 316 367 435 514 588 648 674 690 689 664 627 599 572 547 546 562 577 566 525 487 488 557 593 579 542 515 512 516 533 577 614 618 587 527 429 336 264 203 146 102 67 9 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 1 2 3 3 2 3 3 4 3 4 7 9 11 11 13 15 12 8 7 8 10 12 18 22 21 21 20 18 12 10 8 10 14 15 13 9 10 10 8 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 3 4 5 5 5 5 5 5 5 5 3 1 0
4 6 6 2 0 0 0 0 1 8 24 50 82 90 94 112 143 171 187 199 215 237 271 315 365 425 494 529 553 563 556 533 497 442 399 410 461 505 511 463 345 331 422 503 539 547 555 575 589 605 625 637 629 588 508 403 318 249 198 146 102 78 12 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 1 1 2 2 2 3 3 4 4 6 10 14 15 12 14 16 16 12 8 6 5 8 13 19 23 23 21 18 14 18 19 19 19 18 11 4 7 9 9 8 7 6 6 5 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 3 3 4 5 5 4 3 3 2 1 0 0
43 41 29 10 2 0 0 0 0 0 2 7 24 52 69 78 96 132 164 190 212 229 244 256 269 296 346 379 397 399 388 366 337 307 284 338 431 504 520 461 299 251 316 407 489 542 578 638 646 652 649 640 617 569 489 386 300 209 169 123 54 12 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 1 1 2 2 1 2 2 3 4 6 11 16 17 15 15 16 14 11 7 4 3 5 9 11 15 15 13 12 12 16 20 22 23 18 7 2 6 9 11 11 11 11 10 9 8 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 2 2 2 2 3 3 1 1 1 0 0 0 0
141 120 85 53 23 3 0 0 0 0 0 0 2 10 28 55 89 127 168 208 236 243 238 230 229 245 275 295 296 281 254 228 225 263 272 364 441 472 444 352 229 184 221 308 419 511 575 644 647 648 639 612 564 501 429 316 215 119 103 88 39 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 2 2 3 4 8 12 14 14 16 17 14 13 12 9 7 5 8 10 8 7 6 5 7 10 13 14 16 19 17 6 1 4 8 11 12 12 14 14 14 12 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
245 211 174 140 84 25 4 0 0 0 0 0 0 1 5 18 45 86 136 189 229 233 230 224 220 227 239 240 225 205 193 197 224 268 279 333 356 350 320 270 215 193 195 251 364 496 590 606 593 591 589 574 517 429 355 232 120 53 42 37 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 4 4 4 3 3 4 4 4 5 7 9 13 19 17 16 16 17 16 14 12 14 15 11 7 6 7 8 11 19 18 17 20 17 7 2 3 7 10 12 13 15 17 18 18 15 9 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
332 293 251 203 146 80 17 1 0 0 0 0 0 0 0 3 14 39 81 131 174 177 176 175 175 178 183 182 168 167 181 200 216 237 205 214 241 281 329 361 346 343 272 242 308 422 489 459 418 442 485 493 417 291 211 127 56 21 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 6 7 9 7 6 6 7 9 14 18 16 15 18 20 21 21 20 21 21 19 17 13 9 10 8 13 16 18 24 20 10 5 5 9 12 14 15 16 17 17 16 13 9 6 5 4 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
435 398 348 286 213 136 55 15 2 0 0 0 0 0 0 0 3 16 40 64 86 95 99 102 106 109 114 125 135 176 194 184 179 184 131 147 215 280 333 367 350 374 290 219 215 260 297 290 281 322 349 309 204 93 39 19 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 7 7 10 11 10 7 4 3 5 13 17 17 16 17 20 22 26 26 27 27 28 26 22 14 12 11 12 12 12 14 15 13 9 9 13 15 16 17 19 19 16 13 12 11 9 8 8 7 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
509 502 462 399 323 235 142 59 20 6 2 0 0 0 0 0 0 0 3 12 20 27 29 32 35 40 45 66 86 115 129 130 130 128 103 135 204 228 220 208 184 216 220 216 212 209 207 207 210 194 157 99 45 13 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 2 4 6 7 9 12 13 12 8 4 5 7 13 16 17 17 18 20 25 25 25 26 28 29 29 29 22 16 14 13 11 9 8 9 9 11 15 18 21 21 21 25 23 18 14 12 9 9 10 11 10 7 4 3 2 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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