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 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 9 9 9 9 9 8 7 7 6 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 10 10 9 8 9 9 10 10 11 11 11 10 10 10 11 11 11 10 10 10 11 11 11 10 10 10 11 12 12 12 12 12 11 12 12 12 11 11 12 12 12 11 11 12 12 12 12 11 11 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 10 11 11 11 11 12 12 12 11 10 10 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 nan
nan 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 9 10 10 11 12 12 12 10 9 9 10 11 12 12 12 11 10 10 9 9 9 10 10 9 9 9 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 8 8 8 8 8 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 6 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 9 9 9 9 9 10 11 12 13 13 13 13 12 12 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 10 10 10 11 11 11 10 9 8 9 10 10 10 9 9 9 10 10 10 11 10 9 10 11 11 11 10 10 10 11 11 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 9 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 7 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 7 6 6 6 6 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 6 6 6 7 8 9 10 10 10 11 11 11 11 12 12 12 13 13 14 15 15 15 14 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 11 11 10 11 12 12 11 11 10 10 11 11 11 10 8 8 9 10 10 10 9 8 8 8 9 10 11 10 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 nan
nan 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 6 7 8 9 10 11 12 13 13 14 14 15 14 14 14 14 14 14 14 14 14 15 15 15 14 13 12 12 12 11 11 11 10 10 10 10 10 9 9 9 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 8 9 10 11 11 10 8 8 8 9 10 11 10 8 8 9 10 10 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 5 5 6 7 8 10 12 13 14 15 15 15 15 15 15 15 16 16 15 15 14 14 13 12 12 11 11 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 10 9 8 9 10 11 11 10 9 9 9 10 11 11 10 8 8 9 10 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 nan
nan 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 5 5 5 6 7 9 11 13 15 16 16 16 15 15 14 13 13 13 13 13 13 13 12 11 11 10 10 9 9 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 9 9 10 10 11 11 11 11 11 11 11 11 10 10 8 8 8 9 10 11 11 10 9 9 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 8 8 9 9 10 10 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 6 6 7 8 8 8 8 8 8 8 8 9 8 8 7 7 7 6 6 5 5 5 5 5 5 5 6 6 8 10 12 14 16 16 15 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 8 8 8 9 10 11 11 10 10 10 11 11 11 10 9 8 7 7 7 8 8 8 8 8 8 9 10 10 9 8 7 8 8 9 9 10 11 11 10 10 11 11 11 12 11 10 9 10 10 10 9 9 10 10 10 10 9 9 9 10 10 11 11 11 11 10 11 11 10 nan
nan 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 7 8 8 8 9 8 8 8 8 8 8 8 8 8 7 6 6 5 5 4 4 4 4 5 5 6 7 7 8 10 13 14 15 14 12 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 10 10 10 10 10 10 9 8 7 8 9 10 11 10 9 9 10 11 11 11 10 8 7 7 7 8 8 9 9 9 9 9 10 11 10 9 7 7 8 9 10 11 12 12 11 10 10 10 11 11 10 9 9 9 9 9 9 9 9 10 10 11 10 9 9 10 10 10 11 11 11 11 11 12 11 11 nan
nan 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 7 7 6 6 5 4 4 4 4 4 5 5 6 7 8 9 10 12 13 14 14 12 10 8 7 7 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 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 10 9 9 9 8 8 7 7 8 9 10 10 9 9 9 10 10 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 8 9 9 10 11 12 11 10 10 10 10 10 10 10 9 8 8 9 9 8 8 8 9 10 10 9 9 10 10 10 10 10 10 10 10 11 12 12 11 10 nan
nan 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 7 7 6 6 5 5 5 4 4 4 4 5 6 7 8 9 10 12 14 14 14 13 11 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 9 10 10 10 10 10 10 10 11 12 12 11 10 10 nan
nan 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 9 9 8 7 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 7 8 10 12 14 15 15 14 13 11 9 7 7 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 10 9 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 11 11 11 10 9 9 9 9 nan
nan 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 9 11 13 14 15 15 14 12 10 9 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 9 9 9 10 10 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 11 11 11 10 8 8 8 9 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 11 10 9 8 8 10 11 11 10 9 8 8 8 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 7 7 8 8 8 8 8 9 10 12 13 15 15 14 13 11 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 9 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 10 10 11 13 15 15 15 14 12 11 10 9 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 9 9 9 9 9 8 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 9 nan
nan 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 8 8 8 7 7 8 9 10 10 11 11 11 12 13 14 15 16 15 14 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 11 12 13 13 12 12 11 10 10 10 10 10 9 8 9 8 8 8 8 8 8 8 8 10 11 12 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 10 9 9 9 9 9 8 8 8 8 8 9 8 9 10 10 10 10 9 9 9 11 11 10 9 9 9 9 nan
nan 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 11 12 13 14 15 15 15 15 16 16 16 15 14 13 11 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 10 10 11 12 14 15 16 15 14 13 12 11 11 11 11 11 10 9 8 8 8 8 7 7 7 8 9 10 11 11 11 10 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 11 12 11 10 9 8 9 10 11 11 10 8 7 8 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 12 13 13 14 14 15 16 16 17 17 17 16 16 16 15 14 13 12 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 10 10 8 8 10 12 15 15 15 15 15 14 13 12 12 12 12 11 10 9 9 9 8 8 7 6 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 11 12 11 10 9 8 8 9 9 10 10 9 7 7 8 10 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 11 12 13 13 14 14 15 15 16 16 15 15 15 15 15 15 15 14 13 12 12 11 11 11 11 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 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 7 7 7 9 8 5 5 7 10 12 11 12 12 13 14 14 13 12 12 11 10 9 9 10 10 9 8 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 9 9 8 8 8 9 9 9 9 8 8 7 8 8 9 9 9 10 10 11 11 11 9 8 8 8 9 9 10 10 10 9 7 7 9 11 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 12 11 11 10 10 9 8 7 7 7 7 7 7 7 8 8 8 7 6 6 7 7 8 8 9 10 11 11 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 7 7 8 7 4 4 5 7 8 8 8 10 11 12 13 14 14 12 10 8 8 9 10 10 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 9 9 10 10 10 10 11 11 9 8 8 8 9 10 10 11 11 10 9 8 8 9 12 nan
nan 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 11 11 11 10 10 10 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 11 9 8 7 7 7 7 7 7 7 8 8 8 6 6 6 6 5 4 5 7 9 12 13 12 10 9 8 9 10 10 10 9 9 9 10 10 10 10 9 9 8 8 9 10 10 9 8 8 9 7 6 5 6 7 6 6 6 7 8 10 12 14 14 14 11 8 7 8 9 10 10 9 8 6 5 5 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 7 7 7 8 9 9 10 10 11 11 10 9 8 8 8 9 10 11 11 12 11 10 9 9 9 10 12 nan
nan 8 9 9 9 9 9 9 9 8 8 8 9 9 8 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 10 10 9 9 9 9 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 9 8 8 8 7 7 7 7 7 8 8 7 6 6 6 6 4 3 2 4 6 10 14 15 13 9 7 8 9 10 9 9 9 9 9 10 11 11 10 9 8 8 8 9 10 10 9 9 9 9 8 8 8 8 7 6 6 6 7 7 9 11 13 13 12 9 8 9 10 10 11 10 9 7 6 6 6 6 6 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 9 9 10 11 11 10 9 8 8 9 9 10 11 11 11 11 10 10 10 9 9 10 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 8 9 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 10 9 9 8 8 7 7 7 7 7 7 6 5 6 7 7 6 5 4 3 4 7 12 16 15 12 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 10 9 9 9 9 10 11 11 11 11 10 10 11 10 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 9 9 8 7 7 8 9 10 10 10 11 10 9 8 8 8 9 10 11 11 11 11 10 10 10 9 9 10 10 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 7 7 7 7 7 6 5 5 7 8 8 8 8 8 7 5 5 9 13 16 15 11 9 9 8 8 8 9 9 9 9 8 9 9 9 9 8 8 9 9 9 9 10 10 11 11 11 11 10 10 10 11 12 11 11 9 8 7 6 6 6 6 7 8 9 11 12 12 13 14 14 14 11 10 9 9 8 7 6 6 7 7 7 7 6 7 7 8 8 7 7 7 7 7 7 8 8 7 7 8 9 10 10 10 10 10 9 8 7 8 9 10 11 11 11 11 11 10 10 10 9 9 10 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 7 7 7 6 6 5 5 6 7 8 8 9 9 9 9 7 5 6 10 14 16 14 12 9 8 8 8 9 9 9 9 8 8 9 9 9 9 9 10 10 9 9 9 10 11 11 11 10 9 10 12 14 14 14 13 11 9 8 6 5 3 3 4 6 7 9 11 13 14 15 16 16 15 14 13 13 11 9 7 5 5 6 7 7 7 7 7 7 7 7 6 6 5 6 6 7 7 7 7 8 10 10 10 9 8 8 7 7 7 9 10 11 11 11 11 11 10 10 9 9 9 9 10 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 7 7 7 6 5 4 4 5 6 7 8 8 9 9 9 9 7 5 8 12 16 16 13 10 8 8 8 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 9 10 10 11 11 9 9 10 12 14 14 13 12 11 10 9 8 7 5 4 4 6 7 9 11 12 14 15 16 17 17 17 16 16 15 13 10 7 5 5 6 7 8 8 7 7 6 6 6 5 5 6 8 9 9 8 8 9 11 11 9 8 7 7 7 7 8 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 9 8 8 7 7 6 4 3 3 3 5 7 7 8 8 9 9 9 8 7 9 12 16 16 12 9 8 8 9 9 9 8 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 10 12 12 12 11 10 9 9 9 9 9 9 8 8 8 9 10 12 12 13 14 15 16 16 16 16 16 17 16 14 11 8 6 5 6 8 8 9 9 8 7 6 6 7 9 11 11 10 9 9 11 11 10 9 7 6 6 6 7 9 10 10 10 9 9 9 8 8 7 8 8 8 8 9 8 8 nan
nan 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 8 8 8 7 5 4 3 4 5 6 7 7 8 8 8 9 9 10 11 14 16 14 10 8 7 8 8 8 8 8 8 9 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 9 9 10 11 11 10 9 8 7 7 7 8 10 11 11 10 10 10 11 12 12 12 13 13 13 13 13 14 15 17 18 18 16 13 11 8 6 6 8 9 10 10 9 8 9 10 11 11 10 9 8 9 10 10 8 7 5 5 6 7 8 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 7 7 nan
nan 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 6 5 5 6 7 7 6 7 7 8 8 8 9 10 12 15 16 13 10 7 7 8 9 8 8 8 9 9 10 10 10 10 11 11 11 11 12 12 11 11 9 8 8 9 9 10 10 10 9 8 8 7 7 8 9 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 13 14 16 18 19 19 18 17 14 11 10 9 10 11 11 10 10 10 11 11 9 8 7 7 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 8 7 7 7 8 8 8 8 7 6 6 7 8 8 8 9 12 16 17 14 11 8 7 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 10 12 12 11 10 10 10 10 10 10 10 10 11 12 14 15 16 17 17 18 19 18 17 15 14 13 13 12 11 11 10 10 9 8 8 7 7 7 7 8 9 10 11 12 12 11 10 10 9 9 10 11 11 10 10 9 8 8 7 7 7 8 10 11 nan
nan 11 11 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 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 10 9 9 8 8 7 7 8 9 9 9 8 6 6 6 6 7 7 8 9 13 17 17 14 11 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 12 11 9 7 6 6 7 8 8 8 8 9 10 12 13 12 11 11 10 10 10 10 10 10 10 11 12 13 13 13 13 13 14 15 16 16 16 15 15 15 14 13 12 10 10 10 9 9 8 8 8 9 11 12 13 13 12 12 11 10 10 10 11 12 12 12 12 11 10 9 9 9 10 10 11 13 15 nan
nan 11 11 11 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 9 8 8 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 11 12 12 12 12 12 12 11 10 9 8 8 7 7 7 7 8 7 6 6 6 6 6 7 7 8 10 14 17 16 13 10 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 10 11 13 12 9 7 5 5 5 6 7 7 8 9 11 12 13 12 12 11 11 11 10 10 10 11 11 12 13 13 12 12 11 9 9 9 11 13 15 15 16 15 14 13 12 12 11 10 9 8 8 8 9 9 10 11 10 10 10 10 10 10 10 11 12 13 13 13 12 12 11 10 10 11 12 12 13 14 15 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 8 8 8 7 7 8 9 10 11 11 10 10 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 13 12 11 10 9 9 8 6 6 5 5 5 4 4 5 5 6 6 6 7 9 12 16 17 15 12 10 10 11 11 10 9 9 10 10 10 10 9 10 10 10 10 10 11 11 11 11 10 9 9 9 11 12 12 10 8 5 4 5 5 6 6 7 9 11 12 12 11 10 10 11 11 11 11 11 11 12 13 13 13 11 10 8 7 6 7 9 12 13 14 14 13 12 12 12 11 11 9 7 5 5 6 7 6 6 5 5 6 7 9 10 11 11 12 12 12 12 11 11 11 11 10 11 11 11 11 11 12 12 nan
nan 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 7 8 8 9 10 11 11 12 12 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 9 9 8 7 6 5 4 4 3 3 4 5 5 6 6 7 10 14 17 16 13 10 9 11 12 11 11 10 9 10 10 10 9 9 10 10 10 10 10 11 12 12 11 10 10 10 10 11 12 12 10 8 5 5 5 5 5 6 7 9 11 12 10 8 8 9 10 11 12 11 11 11 12 13 13 12 9 8 6 6 7 9 11 12 12 12 10 10 9 9 8 7 6 5 4 3 4 4 4 3 3 3 3 4 6 7 9 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 11 12 12 12 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 10 9 9 9 8 8 7 6 6 5 4 4 5 5 5 6 6 8 10 14 16 14 10 8 9 11 11 11 10 9 10 10 10 9 9 10 11 11 11 10 11 11 12 12 11 10 10 10 10 11 11 11 11 8 6 6 5 5 5 6 8 10 11 10 8 6 6 8 9 11 12 12 11 11 11 11 12 11 9 7 6 6 8 12 13 13 12 11 9 8 8 7 6 4 3 2 3 3 4 5 5 5 5 5 5 4 5 6 7 9 10 10 9 9 8 9 10 10 10 9 9 8 8 8 8 9 9 nan
nan 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 11 11 11 11 10 10 9 9 9 10 10 11 12 13 14 13 13 12 12 12 12 11 10 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 8 10 13 13 11 9 8 10 11 11 10 9 9 9 10 10 10 10 11 11 11 11 10 10 10 11 12 11 11 10 10 10 10 10 11 11 9 8 6 5 5 5 6 8 10 11 9 8 7 6 7 9 11 12 11 10 9 9 10 11 11 10 8 6 6 8 10 12 13 13 12 10 10 9 8 7 6 5 5 6 6 7 8 9 9 9 9 9 8 7 6 7 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 9 9 9 nan
nan 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 7 8 9 9 10 10 10 10 10 9 9 9 9 9 10 11 12 13 13 13 13 12 13 12 12 11 10 9 8 8 8 8 8 9 10 9 8 7 7 6 6 7 7 8 9 11 11 10 10 10 11 11 9 8 8 8 9 10 11 11 11 11 11 11 11 10 9 10 11 12 12 11 10 10 9 9 10 10 10 9 8 7 6 5 6 7 8 10 10 10 9 9 8 8 9 11 10 9 8 8 8 9 11 11 10 7 6 7 8 9 10 11 12 12 12 11 11 11 11 10 10 10 10 10 11 12 13 14 14 14 14 12 11 10 9 7 6 7 8 8 8 8 9 9 10 9 9 9 8 8 9 9 9 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 11 11 10 10 10 9 8 8 9 10 10 10 8 7 7 7 6 7 8 9 10 10 10 11 11 11 9 8 8 8 9 10 10 11 11 11 11 11 11 11 9 9 9 10 12 11 11 11 10 9 9 9 9 9 8 7 6 6 6 7 8 9 10 11 11 11 10 9 8 9 9 9 8 9 8 9 9 11 11 9 7 7 8 8 9 9 10 11 12 13 13 14 15 15 15 15 14 14 14 15 16 17 19 19 19 18 17 15 13 10 7 6 6 7 7 7 7 8 9 9 9 9 9 8 8 9 9 9 nan
nan 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 12 12 11 11 12 12 11 9 9 9 10 11 10 9 8 7 7 7 7 7 9 9 10 10 11 10 9 9 8 8 9 9 10 10 11 11 11 11 12 12 11 10 9 9 10 11 11 11 10 10 10 9 9 8 8 7 6 6 6 7 8 9 10 11 11 11 11 11 9 9 9 9 9 9 10 9 9 10 10 10 9 7 7 7 8 9 9 9 10 11 12 13 15 16 16 17 16 16 16 17 18 19 20 20 21 21 21 19 18 15 12 9 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 nan
nan 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 9 9 10 11 12 13 13 12 12 12 13 13 12 11 10 9 9 10 10 9 8 7 7 7 7 7 8 9 10 11 11 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 10 9 9 10 10 11 11 10 9 9 9 8 7 6 5 5 5 6 7 9 10 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 8 7 6 7 8 9 9 9 9 9 10 11 13 14 14 15 15 15 15 16 18 18 18 17 17 18 19 20 19 17 13 10 8 8 7 7 6 7 8 9 9 9 9 9 9 9 9 9 10 nan
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nan 14 15 14 13 11 10 9 8 8 8 8 8 10 12 12 12 11 9 8 9 10 11 11 11 10 9 9 9 9 11 12 13 13 12 12 11 11 11 11 11 12 12 12 11 11 12 12 12 13 13 13 13 13 13 13 13 15 16 17 18 16 14 13 13 14 17 18 19 19 19 20 21 21 21 20 19 18 15 13 11 10 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 13 nan
nan 11 13 13 12 10 8 8 7 7 7 7 8 10 12 12 13 12 11 11 12 12 12 12 11 10 9 9 9 10 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 13 12 12 12 12 13 14 15 15 14 13 13 13 14 14 15 15 15 14 14 15 15 15 15 14 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 13 13 12 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 10 11 10 9 7 5 5 5 5 6 7 8 10 11 12 13 13 14 14 14 13 13 12 11 10 10 9 9 10 11 12 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 10 10 10 9 10 11 11 12 13 13 13 13 13 14 13 13 13 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 11 12 12 12 12 11 11 11 11 10 10 10 11 12 12 12 12 12 12 nan
nan 10 10 9 8 5 4 3 4 5 7 8 9 10 11 12 13 13 14 14 14 13 12 12 11 11 10 10 10 10 12 12 13 14 14 14 13 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 10 9 9 9 9 9 9 10 11 12 12 13 13 13 12 12 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 12 12 12 12 12 12 13 nan
nan 10 10 10 8 6 4 4 6 8 9 9 9 10 11 12 13 13 13 13 12 11 11 11 11 11 10 10 10 11 12 12 13 14 14 13 13 13 13 13 12 13 12 12 12 12 11 11 11 12 12 12 11 10 9 9 8 9 9 10 11 12 12 12 12 11 11 10 9 9 10 11 12 12 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 11 11 11 10 10 10 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 nan
nan 10 10 10 9 8 7 7 7 8 9 9 10 12 13 13 14 13 12 11 10 10 10 10 10 10 10 9 10 11 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 10 9 9 9 9 10 11 12 13 14 13 11 10 9 8 9 9 9 9 10 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 13 12 12 12 12 12 13 13 13 12 12 12 13 13 12 12 12 nan
nan 12 11 11 11 10 10 9 9 8 9 10 11 13 14 14 14 12 11 10 9 9 9 9 10 10 9 9 10 11 12 13 13 13 13 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 10 10 11 11 11 12 11 10 8 6 6 7 8 9 9 9 10 11 11 11 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 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 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 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 13 13 13 14 13 13 13 14 14 13 12 12 12 12 12 12 12 12 nan
nan 12 11 11 11 11 11 10 9 8 9 10 11 13 14 14 13 11 10 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 12 12 11 11 11 11 12 12 12 12 13 12 12 12 12 12 12 11 11 10 10 11 12 12 11 9 8 7 6 5 5 6 7 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 13 13 14 14 14 14 14 14 14 14 13 12 12 12 12 12 12 12 nan
nan 13 12 11 11 10 9 9 9 9 9 10 12 14 14 13 12 11 10 9 9 9 9 9 9 10 10 10 10 11 12 12 13 12 12 11 11 11 10 11 11 11 12 12 12 13 12 12 12 12 12 11 10 10 10 11 12 12 11 8 5 4 4 5 6 7 7 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 11 11 12 13 14 15 15 14 14 14 14 14 13 13 12 12 12 12 12 11 nan
nan 14 14 13 12 11 10 9 9 10 11 12 13 14 13 13 11 10 10 10 9 9 10 10 10 10 10 10 10 11 12 12 12 12 12 11 10 10 10 10 10 11 11 12 12 13 13 13 13 12 12 12 10 9 10 11 12 13 12 9 6 5 4 5 6 7 7 8 8 9 10 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 11 12 13 14 15 15 14 14 14 14 13 13 12 12 12 12 11 11 11 nan
nan 15 14 14 13 13 12 11 11 12 13 14 14 14 14 13 12 11 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 10 11 11 12 12 13 13 14 14 14 13 12 11 10 10 10 12 14 14 12 9 7 5 5 6 7 7 8 9 9 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 10 11 11 10 10 10 11 11 11 11 11 10 10 10 11 13 14 15 15 15 14 13 13 12 12 12 12 12 12 11 10 10 nan
nan 14 14 13 13 13 12 13 13 13 14 14 14 14 14 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 11 11 12 12 12 13 13 14 14 15 14 13 12 11 10 10 11 14 15 14 12 9 7 6 7 8 8 9 9 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 12 12 12 12 12 12 11 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 13 14 14 15 15 14 13 12 11 11 12 12 12 12 11 9 9 nan
nan 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 11 11 12 12 12 12 12 13 13 14 14 14 14 13 13 12 11 11 12 13 13 11 9 7 7 8 9 10 10 11 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 12 13 14 15 14 14 13 12 11 11 11 12 12 12 11 10 9 nan
nan 13 13 13 13 12 12 12 12 12 11 11 11 12 12 12 13 13 13 12 12 12 12 11 11 10 11 11 11 11 11 11 10 10 10 9 9 10 11 12 12 12 13 13 12 12 12 12 13 13 13 13 14 14 14 12 11 11 11 11 10 9 9 9 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 12 13 14 14 14 14 13 12 11 11 11 11 11 12 11 10 9 nan
nan 13 13 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 13 12 12 12 12 12 12 12 12 13 13 14 14 14 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 12 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 10 nan
nan 13 13 13 14 14 14 14 13 12 12 11 11 11 11 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 11 12 12 12 13 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 13 12 12 12 11 11 11 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 13 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 nan
nan 12 13 13 13 14 14 14 14 13 13 12 12 11 11 11 12 12 12 11 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 10 11 12 13 12 12 12 11 11 12 12 13 13 13 14 13 13 13 13 13 13 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 10 10 11 12 12 13 14 14 14 13 13 12 12 12 12 12 11 11 11 12 12 nan
nan 12 12 12 12 13 13 14 14 14 14 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 8 9 9 10 10 9 8 8 8 9 10 12 13 13 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 10 10 11 11 12 13 14 14 15 14 13 12 12 12 13 13 12 12 11 12 12 13 nan
nan 12 12 12 12 12 13 13 14 14 15 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 9 9 9 10 10 10 11 10 9 9 9 9 11 12 12 13 12 12 12 11 11 11 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 14 14 13 12 12 12 11 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 nan
nan 12 11 11 11 12 12 12 13 14 14 14 13 13 12 11 11 12 12 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 14 14 15 14 14 13 13 13 12 11 10 10 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 15 14 13 12 12 12 11 11 12 12 12 13 12 12 12 nan
nan 12 11 11 11 11 11 12 12 13 14 13 13 12 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 12 12 12 11 11 10 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 10 10 11 10 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 12 11 11 11 13 14 14 13 12 12 12 11 10 10 10 10 11 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 12 12 13 14 15 14 13 12 12 11 11 11 12 12 13 13 14 14 13 13 nan
nan 11 11 10 10 10 10 11 12 13 13 13 13 12 11 11 10 10 9 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 11 10 9 9 9 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 9 7 8 9 11 13 13 13 12 11 11 10 10 10 11 12 13 14 13 12 12 11 11 11 10 10 10 10 10 10 10 11 11 12 13 14 14 13 13 12 11 11 12 12 13 13 14 14 15 14 14 14 nan
nan 11 10 10 10 10 10 11 11 12 13 13 13 12 12 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 10 9 9 9 9 9 10 9 10 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 7 5 5 6 9 12 14 15 15 13 12 10 9 10 11 13 14 15 15 14 12 11 10 10 10 10 9 9 9 9 10 10 11 12 13 13 14 13 13 12 11 11 11 11 12 12 12 13 13 13 13 13 13 nan
nan 11 11 10 10 10 10 11 11 12 13 13 13 13 13 13 12 12 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 12 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 10 9 8 8 8 7 6 5 7 9 13 15 16 17 16 14 11 9 8 10 12 14 15 15 14 13 12 11 11 11 10 10 9 9 9 10 11 11 12 13 14 14 14 13 12 11 11 11 12 12 11 11 11 11 11 11 11 12 12 nan
nan 12 11 11 10 10 11 11 11 12 12 12 12 13 13 13 13 13 13 13 14 14 14 13 13 12 13 12 12 12 13 13 13 13 14 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 10 11 11 11 11 11 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 10 10 9 9 9 10 10 9 9 9 9 10 9 9 9 8 8 8 8 8 8 9 10 9 8 7 7 7 7 8 10 13 14 16 17 17 15 11 8 7 9 12 14 15 15 14 13 12 12 12 12 11 11 10 10 11 12 13 13 13 13 13 14 13 13 13 12 11 11 11 11 12 11 11 10 10 10 10 10 11 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 12 12 11 11 11 11 10 10 10 11 11 11 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 9 10 11 11 10 9 9 9 9 9 10 11 13 14 16 15 12 10 8 10 14 17 17 16 14 12 12 12 12 12 12 11 10 11 11 13 14 15 14 14 13 13 13 14 14 13 12 10 10 10 11 12 12 11 10 9 8 8 9 10 11 nan
nan 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 12 13 13 14 14 13 12 12 11 12 12 13 13 13 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 9 9 9 9 10 11 12 11 10 9 9 8 7 7 8 9 11 14 16 15 13 11 11 14 17 18 16 14 12 12 12 12 12 11 10 10 10 12 13 14 14 14 13 13 13 14 14 15 15 14 12 10 9 9 11 12 12 11 9 8 8 8 10 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 11 11 11 11 11 12 13 14 13 13 12 11 11 11 11 11 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 10 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 9 9 10 11 11 10 9 7 5 4 4 5 7 10 13 16 18 16 15 13 14 15 16 16 14 13 13 13 13 12 11 10 10 10 11 13 14 13 13 12 12 13 13 14 15 15 15 14 12 9 9 9 10 12 13 11 10 8 8 9 10 11 13 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 11 11 11 11 10 10 9 9 8 8 9 10 10 11 11 12 12 11 11 11 10 9 8 8 9 9 9 9 7 4 2 4 5 9 12 15 17 17 15 13 12 13 15 16 16 16 16 16 15 14 12 11 10 10 10 11 11 11 10 10 10 11 11 12 13 14 14 14 14 12 10 9 9 10 12 13 12 12 10 9 9 10 11 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 1 0 0 0 0 0 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 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 5 7 6 3 0 0 0 0 1 2 4 5 5 5 4 2 1 2 4 7 10 12 19 25 27 23 12 6 8 14 17 15 14 19 19 18 15 13 10 9 7 6 5 4 4 4 6 9 11 13 13 12 11 12 15 13 10 8 5 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 8 9 58 89 74 38 21 21 24 27 31 34 38 44 49 50 49 52 51 45 37 32 32
1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 2 1 2 3 5 7 8 6 4 2 1 0 0 0 1 1 3 7 14 21 25 23 11 5 3 3 3 4 8 13 16 14 10 6 6 5 4 4 4 4 5 6 7 9 10 12 13 14 16 15 15 12 11 11 9 4 3 2 1 0 0 2 3 3 1 0 1 0 0 0 0 0 0 2 3 3 3 5 9 5 5 4 10 14 18 24 29 32 34 44 65 72 66 61 62 69 65 54 41 31 27
1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 1 2 2 2 5 6 6 6 5 6 5 5 5 6 6 5 3 1 0 0 0 1 3 5 1 2 7 12 17 20 19 14 12 11 10 7 3 7 9 9 6 3 1 1 1 1 1 0 1 2 1 1 4 5 6 9 15 21 24 27 27 24 21 17 11 8 5 3 1 2 2 3 3 2 0 1 0 0 0 0 0 2 3 3 5 7 6 7 7 8 11 13 14 20 27 30 35 88 163 159 124 103 112 140 134 97 58 36 31 29
1 1 0 0 1 1 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 5 4 9 17 24 24 13 10 7 5 5 5 4 4 2 1 0 0 0 1 5 11 4 6 11 19 25 27 23 21 22 24 22 13 5 3 3 2 1 0 0 0 0 0 0 0 1 1 1 1 1 2 2 5 12 18 24 28 27 25 24 20 16 12 9 7 4 3 2 2 1 0 1 0 0 0 0 0 11 8 5 4 6 9 9 11 14 16 16 19 22 27 31 32 26 53 86 124 165 166 176 187 169 122 61 46 39 34
1 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 8 18 25 16 11 8 5 3 3 3 2 2 2 1 0 0 0 0 1 3 3 6 12 20 26 26 21 20 27 37 41 18 7 2 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 3 8 13 20 25 27 24 22 20 19 17 16 14 9 5 2 1 0 0 0 0 1 1 0 0 1 1 2 4 6 6 8 14 22 25 27 27 28 30 31 28 28 27 44 97 185 185 177 171 166 154 84 61 48 39
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 10 5 3 3 2 2 2 1 1 1 1 1 2 0 0 0 0 0 1 6 11 15 17 13 9 10 19 28 18 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 4 11 18 23 27 25 22 20 20 20 18 16 10 4 1 1 1 0 0 1 3 4 2 0 1 3 6 7 8 7 10 17 29 26 24 23 24 27 24 21 21 24 35 61 98 121 136 148 157 154 111 79 60 49
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 5 5 4 6 8 8 6 3 3 4 2 0 0 0 0 1 3 6 7 6 3 1 1 3 5 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 4 11 18 23 21 19 18 17 17 15 11 6 3 1 1 2 1 1 2 3 4 2 1 1 4 9 11 11 9 9 13 23 22 20 19 20 22 19 18 17 17 17 20 36 68 103 130 144 139 113 86 63 53
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 6 7 6 5 5 4 2 1 0 0 0 0 1 2 2 2 2 3 3 3 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 4 9 19 31 23 19 17 15 13 11 10 7 3 2 2 1 1 1 1 1 1 1 2 4 7 11 12 12 10 15 40 32 22 23 28 26 20 16 13 13 14 18 16 26 50 81 90 74 62 68 70 52 55
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 3 3 3 3 2 1 1 1 1 1 1 1 1 2 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 5 13 34 59 34 18 11 8 8 7 8 8 6 5 4 2 1 1 0 0 0 1 3 6 9 10 10 11 13 14 16 18 21 26 30 24 18 15 15 14 14 19 21 24 31 40 37 33 33 37 43 49 76
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