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 10 8 5 3 3 3 3 4 6 8 9 9 9 8 8 11 12 12 10 10 10 10 10 11 10 9 8 8 8 9 10 9 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 9 9 8 8 8 8 9 10 10 9 9 9 10 10 10 9 8 7 8 8 8 7 7 7 8 8 9 8 8 7 7 7 8 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 nan
nan 11 11 8 6 5 5 6 7 8 9 11 12 12 10 9 10 11 12 10 9 9 9 9 10 11 10 9 7 7 8 9 9 8 7 7 8 8 7 7 7 7 8 8 8 8 8 7 8 8 8 7 8 8 8 8 7 7 7 7 8 9 9 10 10 9 9 10 9 8 7 7 7 8 8 8 9 9 10 10 9 9 8 8 9 10 10 11 11 11 11 10 10 10 10 9 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 nan
nan 10 11 10 8 7 6 6 8 9 11 13 14 14 13 11 10 11 12 11 10 8 8 8 9 10 10 9 7 6 7 9 9 9 9 9 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 7 8 9 9 9 9 10 10 9 7 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 10 10 9 9 8 8 7 7 7 7 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 8 10 10 9 8 6 5 6 9 11 13 14 15 14 12 10 11 12 11 10 9 8 7 8 9 9 9 8 8 8 9 10 9 9 9 9 9 9 7 7 8 9 8 7 7 7 7 7 8 8 8 7 8 8 8 7 6 5 5 6 7 7 8 8 9 10 9 8 7 8 8 8 7 7 8 8 9 9 8 8 9 9 9 9 9 9 10 10 11 11 10 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 nan
nan 7 9 10 9 8 7 6 7 9 11 12 13 14 14 12 11 12 12 11 11 10 8 7 7 7 7 7 8 8 9 9 9 8 8 9 9 9 9 7 8 9 9 9 8 7 8 8 8 9 8 8 8 8 8 8 8 7 6 6 6 6 7 8 9 9 9 9 8 8 9 10 9 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 10 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 8 8 8 9 9 9 8 8 7 8 8 8 nan
nan 8 10 9 9 8 8 8 9 10 10 11 12 13 13 12 12 12 11 11 10 10 9 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 8 9 10 10 9 8 8 8 9 10 10 9 9 9 9 9 9 9 9 8 7 7 7 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 8 8 8 8 9 9 8 8 9 9 9 10 9 8 8 8 8 8 7 nan
nan 9 10 9 8 8 8 9 9 10 11 11 12 12 11 10 10 10 10 10 10 10 9 8 8 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 10 11 11 10 9 9 10 10 10 11 11 11 10 10 11 11 11 11 10 9 8 9 11 11 11 10 10 10 10 10 10 11 11 11 11 10 9 9 8 7 7 7 7 7 7 8 9 11 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 nan
nan 10 10 8 8 8 8 9 9 10 11 11 11 10 9 8 7 8 8 9 9 9 10 11 10 10 10 11 10 10 9 9 9 10 10 9 8 7 8 9 10 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 10 9 9 10 11 11 10 10 10 11 11 10 10 11 11 11 10 8 8 8 7 7 7 7 6 6 7 8 10 11 11 10 9 9 9 8 8 7 7 8 8 8 8 8 9 9 8 8 8 7 7 8 8 8 8 8 9 9 10 10 10 9 9 9 9 8 9 9 9 9 8 8 8 8 7 7 nan
nan 11 10 9 8 8 9 9 9 9 9 9 9 8 7 6 5 6 8 9 9 9 10 11 10 10 11 10 10 9 8 7 8 9 9 9 8 8 9 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 9 9 8 8 8 9 9 10 10 10 11 11 10 8 7 6 7 7 7 8 8 7 7 7 8 10 10 10 9 8 8 8 8 7 7 7 7 8 8 8 7 8 9 9 8 8 8 7 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 9 10 9 8 8 8 7 7 7 7 nan
nan 10 10 9 9 9 8 8 7 6 6 7 7 8 7 6 6 7 9 11 10 10 10 10 10 10 9 9 9 8 8 7 7 8 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 8 7 7 7 8 8 7 6 7 7 8 9 9 9 10 11 10 8 7 6 7 7 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 9 8 8 7 7 7 7 7 nan
nan 9 9 10 10 10 9 8 7 5 5 6 8 9 9 7 6 8 11 12 12 11 11 11 10 9 8 8 8 8 7 7 7 8 8 8 8 8 9 8 8 9 9 9 9 8 8 8 8 7 8 8 8 8 8 7 7 6 6 6 6 7 7 7 6 6 7 7 8 8 9 10 11 11 10 9 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 7 8 8 9 8 8 7 8 9 9 9 8 7 7 6 6 7 7 nan
nan 9 9 10 11 11 11 10 9 7 7 8 10 10 9 7 6 8 11 12 12 12 12 11 10 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 5 5 5 5 7 8 8 7 6 6 6 7 8 8 9 10 11 11 11 10 9 9 9 9 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 7 8 9 8 8 8 7 6 6 6 6 7 nan
nan 10 10 11 11 11 11 10 9 9 9 9 10 10 9 6 6 7 9 10 11 11 11 10 9 8 7 6 6 6 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 4 5 6 7 8 8 7 6 6 7 8 8 8 9 10 11 11 10 10 9 9 9 9 9 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 9 9 8 8 7 7 6 6 5 6 6 nan
nan 11 11 11 10 10 9 8 8 8 9 9 10 10 8 6 5 7 9 9 9 9 9 9 8 7 6 5 5 6 7 7 7 7 7 8 8 7 7 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 6 7 8 9 9 8 7 7 8 8 9 9 9 10 11 11 10 9 9 9 9 9 8 8 7 7 8 10 10 9 9 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 7 6 6 7 8 8 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 nan
nan 10 10 10 9 9 8 8 8 8 8 9 9 9 7 5 5 7 9 9 9 9 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 6 6 6 6 6 6 7 7 7 7 6 7 7 7 8 8 9 9 9 9 9 9 9 10 11 11 11 12 12 11 11 10 9 9 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 7 7 7 6 7 8 8 9 9 9 8 8 8 9 10 10 10 10 8 7 6 7 8 9 9 10 10 10 9 9 8 7 7 7 7 7 7 7 6 nan
nan 9 9 9 9 9 9 9 8 8 8 8 9 8 7 6 6 9 11 11 10 9 8 8 8 7 6 6 6 6 6 6 7 7 7 7 8 8 7 7 7 6 6 5 5 5 6 6 6 7 7 8 8 8 7 7 7 8 8 9 9 10 10 9 9 9 9 10 10 11 12 13 13 13 13 13 11 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 7 7 8 10 11 11 10 8 7 6 7 8 9 9 10 10 10 10 9 8 7 7 8 8 8 8 7 7 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 11 13 13 11 9 9 8 7 7 7 6 6 6 5 6 6 7 7 8 8 8 8 7 6 6 6 5 6 6 6 7 7 7 8 8 8 8 7 7 7 8 9 10 11 11 10 9 9 10 10 10 10 10 11 12 12 13 13 13 12 11 10 10 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 6 6 8 9 9 9 8 6 6 6 7 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 8 nan
nan 9 9 9 9 9 8 7 8 8 8 8 7 7 7 8 9 11 13 13 12 11 10 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 7 8 9 10 11 12 12 11 10 9 9 10 10 9 9 9 10 10 11 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 7 6 5 6 7 8 8 7 6 7 8 9 11 11 11 10 9 9 8 8 8 8 8 8 9 9 9 nan
nan 9 9 8 8 8 8 8 8 9 9 8 7 6 7 8 9 11 12 13 12 12 11 10 10 10 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 12 12 12 11 10 10 10 10 10 9 9 9 9 9 9 10 11 10 10 10 9 10 10 10 10 10 10 10 11 10 9 8 8 8 8 7 7 8 8 8 9 9 10 11 11 11 10 10 9 7 6 6 7 8 8 8 7 7 8 10 12 12 11 10 9 8 8 8 8 8 8 9 9 9 8 nan
nan 8 8 8 8 8 8 9 9 9 9 8 7 6 7 8 9 10 11 12 12 11 10 10 10 10 9 9 9 9 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 11 11 12 12 11 10 10 10 10 10 9 9 9 9 8 8 9 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 9 9 8 8 8 9 9 9 10 10 11 11 12 12 13 12 12 11 10 9 8 8 8 8 7 7 7 8 9 11 12 11 10 9 8 8 8 8 8 9 9 9 8 7 nan
nan 8 8 8 8 8 9 10 10 9 8 8 7 7 7 8 9 10 11 11 11 10 10 10 9 9 8 8 8 8 8 9 9 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 7 8 9 10 10 10 10 9 9 8 8 9 9 9 9 9 8 7 8 8 9 9 9 8 8 8 8 8 8 9 10 11 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 10 9 7 7 7 8 8 9 10 10 11 11 10 10 8 8 8 8 9 8 8 7 6 nan
nan 8 8 9 9 10 10 10 9 9 8 7 7 8 8 8 9 10 11 11 10 10 10 10 10 8 8 7 7 8 9 9 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 5 5 6 7 8 8 8 8 7 7 8 8 8 9 9 8 8 7 8 8 9 9 8 8 8 7 7 7 7 8 9 10 11 12 11 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 11 10 8 7 7 8 9 9 8 9 10 11 11 11 10 9 8 8 8 7 7 7 7 nan
nan 9 10 11 12 11 11 10 9 8 8 7 7 8 9 9 10 11 12 11 10 10 11 11 10 9 9 8 8 9 10 11 11 11 11 10 9 9 8 8 7 7 7 7 7 8 8 9 10 10 10 9 8 7 6 5 5 4 5 6 7 6 6 6 7 7 7 7 8 9 9 9 8 7 8 9 9 10 9 9 8 8 7 7 7 7 8 8 9 10 10 9 8 7 6 6 6 6 7 7 7 7 8 9 9 9 9 9 10 11 12 12 11 9 8 8 9 9 9 8 8 9 10 11 11 11 10 9 8 8 7 8 8 7 nan
nan 11 12 12 12 11 10 9 9 9 8 7 7 8 9 9 10 11 12 11 10 10 11 11 10 10 9 9 8 8 9 10 10 10 10 9 8 8 8 8 8 7 7 8 8 9 10 11 11 11 10 9 7 6 6 6 5 5 6 6 6 6 5 6 6 7 6 7 8 8 9 10 9 8 8 8 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 9 9 8 9 9 9 10 10 11 10 9 8 9 9 9 9 8 8 7 8 8 9 10 11 10 9 9 9 9 8 7 nan
nan 11 12 12 10 9 8 8 9 8 8 8 8 8 9 9 9 10 10 10 10 10 11 10 9 8 8 7 7 7 6 7 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 9 10 10 9 8 8 9 10 11 11 11 11 10 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 8 7 7 6 6 7 9 11 11 11 11 10 9 8 7 nan
nan 9 10 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 10 9 8 8 7 6 6 5 5 6 6 7 7 7 7 8 7 7 7 8 8 8 9 9 8 8 8 8 9 9 9 8 8 8 7 7 6 6 7 8 8 9 9 9 8 8 8 7 8 9 10 9 9 8 8 9 10 11 11 11 10 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 8 7 7 8 8 9 10 9 8 7 6 6 5 6 7 9 11 11 11 10 8 7 7 nan
nan 9 8 7 8 8 9 9 9 9 9 9 9 10 10 10 11 11 10 11 11 11 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 6 5 5 6 7 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 9 9 9 10 10 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 8 8 9 9 8 8 9 9 9 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 8 9 10 10 9 9 8 8 nan
nan 10 9 9 9 8 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 10 10 10 11 12 11 11 10 10 9 9 10 10 9 9 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 6 5 4 4 5 6 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 8 8 7 7 8 9 8 8 7 7 7 8 8 8 8 8 9 10 10 9 9 9 9 nan
nan 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 11 12 12 12 11 10 9 10 11 12 13 13 12 12 11 11 12 13 12 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 6 5 5 5 5 6 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 8 9 9 9 10 10 9 9 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 10 11 11 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 10 12 13 12 12 11 11 11 12 13 13 13 11 10 9 8 8 7 7 7 7 6 6 6 8 9 9 8 7 7 7 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 8 8 9 9 8 9 9 9 9 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 8 9 9 9 7 6 6 7 8 9 10 11 11 10 nan
nan 9 9 9 9 8 8 9 9 9 9 10 10 9 9 9 9 9 9 10 11 11 10 10 10 11 11 10 10 9 9 8 9 10 11 11 11 10 9 9 8 8 7 7 6 6 5 5 7 8 9 8 6 6 7 7 8 8 8 8 8 7 7 7 6 7 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 9 9 8 8 7 7 7 8 8 9 9 10 9 9 8 8 7 7 8 9 9 9 7 5 5 6 8 10 10 10 9 9 nan
nan 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 8 7 6 7 8 9 10 10 9 8 8 8 7 7 7 6 5 5 6 7 8 8 8 7 6 6 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 8 8 9 9 9 8 8 8 9 9 9 8 8 9 10 10 10 11 10 10 9 9 8 8 8 8 9 10 10 9 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 7 7 8 8 9 8 7 6 6 7 9 10 10 10 9 8 nan
nan 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 10 11 10 9 8 7 6 6 7 8 9 9 9 8 8 7 7 6 6 6 6 7 8 9 9 9 8 7 7 6 6 6 7 7 8 8 7 7 6 5 5 6 6 7 7 7 6 7 8 7 7 7 7 8 8 8 8 7 8 8 9 10 10 10 10 9 9 8 8 7 8 8 9 9 8 6 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 7 7 7 8 9 10 11 10 10 9 nan
nan 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 8 8 8 8 9 10 12 12 12 11 9 9 8 7 7 7 8 8 8 8 8 7 6 6 6 7 7 9 10 10 10 9 9 8 7 7 6 6 7 8 8 7 7 6 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 8 8 8 8 7 7 7 8 9 9 10 10 10 9 8 7 6 7 7 8 8 7 6 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 8 9 10 10 10 10 11 nan
nan 7 7 7 8 8 8 8 8 8 7 8 8 9 9 9 8 7 7 7 7 8 9 10 10 11 12 12 11 11 10 10 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 9 9 8 7 7 6 7 7 7 7 7 8 7 7 6 6 6 6 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 8 7 6 6 7 7 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 10 nan
nan 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 7 6 6 6 6 7 8 8 8 7 8 9 10 10 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 6 6 6 7 7 7 7 8 9 9 8 7 6 6 6 5 5 5 6 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 nan
nan 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 7 9 10 11 12 13 13 12 11 10 10 10 10 11 11 11 10 9 9 8 8 8 8 7 8 8 7 6 5 6 7 8 8 7 8 9 9 9 8 7 6 5 5 4 4 5 6 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 9 8 6 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 9 9 9 9 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 nan
nan 10 9 9 8 7 7 7 7 7 7 7 6 6 5 4 4 4 4 5 5 6 6 7 8 9 10 9 10 11 11 12 12 13 13 11 10 10 10 11 10 10 10 10 10 9 8 8 7 7 7 8 9 8 6 5 6 8 9 9 8 8 8 9 8 8 7 6 5 5 4 4 5 6 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 10 8 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 8 7 6 6 7 8 9 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 7 nan
nan 8 8 7 7 6 5 5 5 5 5 6 6 5 4 3 2 2 3 5 7 8 8 9 10 11 11 10 10 10 10 10 9 10 10 11 10 10 10 10 10 10 10 10 11 10 10 9 8 7 8 9 9 9 8 7 7 8 9 9 9 8 8 8 8 8 7 7 6 5 5 5 5 6 7 8 8 8 7 7 7 8 8 8 7 7 7 8 9 10 10 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 8 9 10 9 8 7 7 7 7 7 7 8 8 8 8 8 7 6 5 5 5 6 nan
nan 8 7 6 6 5 4 4 4 3 4 4 5 6 6 6 5 6 7 8 9 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 10 9 8 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 5 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 7 6 5 6 7 8 nan
nan 8 8 7 6 6 6 7 7 7 7 6 7 8 9 9 8 8 9 11 11 10 9 9 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 10 10 9 8 8 9 9 8 9 9 10 10 10 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 7 8 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 10 9 9 9 9 8 9 9 9 9 9 9 9 8 7 7 7 8 9 nan
nan 8 8 7 8 8 9 10 11 11 10 10 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 8 7 7 7 7 7 8 8 9 8 8 7 8 8 8 8 8 8 9 9 10 11 11 10 9 8 8 9 9 9 9 9 8 8 8 7 6 5 5 5 6 7 8 10 10 10 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 12 12 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 7 8 9 9 nan
nan 6 6 7 8 9 9 10 10 10 9 9 9 7 6 5 5 6 6 5 5 6 7 7 7 8 8 8 9 9 9 8 9 9 9 8 7 7 7 7 8 8 8 8 7 6 6 6 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 6 5 5 6 7 9 10 10 10 9 8 8 9 10 10 10 10 9 10 10 10 11 11 10 11 11 11 12 12 12 12 12 11 11 12 12 13 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 9 9 8 8 8 9 9 9 nan
nan 5 5 6 6 7 7 7 7 7 7 7 6 5 5 5 6 6 6 7 7 7 8 7 7 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 5 6 7 9 10 10 10 9 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 12 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 11 12 11 10 9 10 10 9 8 8 8 9 9 8 8 9 10 10 9 nan
nan 6 6 6 6 6 5 5 6 6 6 7 6 6 5 6 6 6 7 8 9 9 9 8 7 7 7 8 8 9 9 8 9 9 9 8 8 8 9 9 8 7 7 7 7 7 7 6 5 5 7 8 9 9 8 8 7 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 8 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 8 9 9 10 9 10 10 11 12 12 10 10 9 10 10 9 9 9 10 10 9 8 9 10 10 9 7 6 7 9 8 8 7 8 10 10 8 8 9 10 10 9 nan
nan 7 8 8 7 5 4 5 6 6 6 7 7 7 6 6 6 6 7 9 9 10 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 8 7 7 6 7 8 7 7 6 5 6 8 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 6 5 5 5 7 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 8 8 9 10 11 10 9 8 8 8 8 8 9 9 9 8 7 7 8 9 8 7 7 8 9 9 7 6 7 9 9 8 8 8 9 9 9 nan
nan 9 9 9 7 5 5 7 7 6 7 8 8 8 7 6 6 7 8 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 8 8 7 8 8 9 8 8 6 5 5 7 8 7 7 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 4 4 5 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 7 8 9 10 10 9 8 7 7 8 8 9 9 9 8 6 7 8 9 8 7 7 8 9 8 7 6 7 8 7 7 7 7 8 8 8 nan
nan 9 9 8 7 7 8 9 8 8 8 8 9 8 8 7 7 7 8 9 10 9 9 8 8 8 8 7 7 8 8 8 8 9 8 8 7 8 8 8 9 8 7 5 5 7 7 7 7 6 6 7 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 7 6 5 5 5 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 9 10 9 8 7 7 8 9 9 9 8 7 6 7 9 9 8 6 6 8 9 7 6 6 7 7 6 6 7 7 8 8 8 nan
nan 8 8 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 6 5 5 7 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 10 10 9 7 7 8 9 9 9 8 6 6 7 8 8 7 6 6 7 7 6 6 6 8 8 7 7 7 8 8 8 9 nan
nan 7 7 7 8 8 9 9 9 8 8 8 8 7 6 6 6 7 7 8 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 10 10 9 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 5 5 6 7 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 10 10 9 7 7 7 8 9 9 8 6 6 7 7 7 7 7 8 8 7 6 7 8 9 10 9 8 8 7 8 9 10 nan
nan 7 8 7 8 8 9 9 8 8 7 7 7 7 6 6 6 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 9 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 8 9 10 9 8 7 7 8 9 10 8 6 6 6 7 7 8 9 9 9 8 8 8 9 9 10 10 9 8 7 8 9 10 nan
nan 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 9 9 10 11 11 10 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 9 8 7 7 8 9 9 8 7 7 7 7 8 8 8 8 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 7 6 7 9 10 9 8 7 7 9 10 10 8 7 7 7 7 8 10 10 10 9 8 8 8 8 9 9 9 9 7 7 8 9 10 nan
nan 8 8 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 9 10 10 10 10 9 9 8 8 9 8 7 7 8 9 10 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 8 8 8 8 8 7 6 7 8 9 9 9 8 7 8 9 10 9 8 8 9 9 9 9 10 9 8 7 7 7 8 8 9 9 10 9 8 8 8 9 9 nan
nan 7 7 7 7 7 6 5 5 5 6 6 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 10 11 12 11 11 10 9 9 9 8 8 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 7 7 8 8 8 8 8 10 10 10 9 9 8 8 7 6 6 7 8 9 9 10 10 9 8 8 8 8 nan
nan 7 7 7 6 6 5 5 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 6 5 5 4 5 5 5 5 5 6 8 9 11 12 12 12 11 10 9 9 9 10 10 10 9 8 7 7 7 8 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 9 8 8 7 6 6 6 6 7 8 9 10 10 10 9 9 8 7 6 6 6 7 8 10 11 10 9 8 8 8 8 nan
nan 7 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 4 4 5 5 5 5 6 7 8 9 10 11 11 11 10 9 8 8 8 9 8 8 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 8 7 6 5 6 7 8 8 9 10 10 9 9 8 8 7 6 6 6 7 8 10 10 10 9 8 8 8 9 nan
nan 8 7 6 5 5 6 6 7 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 9 9 10 10 9 8 7 7 8 8 8 8 8 9 9 9 8 6 5 5 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 10 9 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 9 10 10 9 9 8 8 8 9 nan
nan 9 8 7 7 7 7 8 9 9 9 9 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 6 5 5 5 6 6 7 7 7 7 8 8 8 9 9 10 10 9 9 8 7 8 8 8 7 7 7 8 8 9 9 9 10 11 11 9 7 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 9 9 8 7 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 6 6 7 9 9 10 9 9 8 8 8 9 nan
nan 9 8 8 8 9 9 9 9 9 9 8 8 9 9 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 7 7 8 8 8 9 9 9 10 10 11 10 9 8 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 7 6 6 7 9 9 8 7 6 6 7 7 7 8 8 8 8 7 6 6 7 8 9 9 9 9 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 8 6 5 5 6 8 10 9 8 7 7 7 7 8 8 8 8 8 7 6 7 8 9 9 9 9 8 8 8 8 8 8 nan
nan 9 9 9 8 8 8 8 7 6 6 7 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 8 8 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 11 11 11 10 10 9 9 7 5 4 5 6 8 9 9 8 7 7 7 7 7 8 8 8 8 7 7 8 9 10 10 9 9 8 8 9 10 9 8 nan
nan 9 9 9 9 8 8 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 11 12 11 11 10 10 9 7 6 6 6 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 10 10 10 9 8 8 9 11 12 11 9 nan
nan 10 10 10 9 9 8 8 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 9 9 9 10 11 11 11 11 10 9 9 8 8 8 8 9 9 10 10 10 10 10 9 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 9 9 9 10 10 11 11 11 11 11 10 9 8 7 7 7 7 9 9 9 8 8 8 8 8 7 6 7 7 7 8 8 9 9 9 9 8 8 8 9 11 11 10 8 nan
nan 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 6 6 6 7 7 8 8 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 8 8 8 10 10 10 9 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 9 9 9 10 10 9 9 nan
nan 10 9 9 9 9 9 8 7 7 7 7 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 9 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 9 8 8 9 10 10 9 8 8 8 8 7 7 7 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 nan
nan 8 8 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 nan
nan 7 8 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 8 8 8 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 9 9 9 9 8 8 8 9 10 11 11 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 11 11 11 10 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 9 9 8 9 nan
nan 8 8 8 8 8 7 7 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 10 9 8 8 8 7 7 7 8 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 8 8 9 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 8 8 7 7 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 12 11 11 10 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 9 10 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 11 10 10 10 10 10 11 11 11 11 10 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 10 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 nan
nan 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 12 11 10 8 7 6 5 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 nan
nan 9 9 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 9 8 6 5 5 5 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 9 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 7 7 8 8 9 10 9 9 9 9 8 8 8 8 8 8 nan
nan 8 8 8 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 10 9 8 6 5 5 5 6 6 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 9 9 9 9 10 10 9 9 8 8 8 8 9 nan
nan 8 8 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 10 10 10 9 8 7 6 5 5 5 6 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 11 12 12 11 11 11 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 9 10 10 9 9 8 8 8 9 9 nan
nan 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 7 6 6 5 6 6 7 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 10 11 12 11 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 9 10 10 9 8 8 9 9 10 9 9 8 8 9 9 9 10 nan
nan 8 7 7 7 7 8 7 7 7 8 8 9 9 10 10 9 8 7 7 7 7 7 7 8 9 9 9 9 9 8 7 6 6 6 6 6 7 7 8 9 9 9 9 10 10 10 10 9 9 9 8 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 10 10 10 9 10 10 10 10 10 10 9 9 8 9 10 11 11 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 7 7 8 8 8 8 8 9 9 8 8 9 10 10 9 9 10 10 10 10 9 9 8 9 9 9 10 10 nan
nan 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 8 7 7 6 6 6 7 9 9 10 9 8 7 7 6 6 7 7 7 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 10 10 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 12 12 12 11 11 10 10 9 9 9 8 8 7 8 8 9 9 9 9 9 9 8 9 9 10 10 10 10 11 12 11 10 9 9 9 9 9 9 10 10 10 nan
nan 8 8 8 8 7 7 7 8 8 8 8 8 9 10 10 10 10 9 8 8 6 6 6 7 8 9 9 9 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 9 8 9 10 11 11 11 11 11 11 10 11 11 11 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 10 11 12 12 11 10 9 9 9 9 9 9 10 10 10 10 nan
nan 7 7 7 8 8 8 8 9 9 8 8 8 9 9 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 8 8 9 9 10 10 10 9 9 9 11 11 11 11 11 11 10 10 10 10 11 12 12 11 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 11 12 11 9 9 9 9 9 9 9 10 10 11 11 11 nan
nan 7 7 7 8 8 9 9 9 10 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 12 11 10 10 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 9 8 8 9 9 9 9 9 9 9 10 11 11 11 12 12 12 11 11 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 11 9 8 8 9 9 10 10 10 11 11 11 11 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
345 331 357 367 334 274 213 160 104 108 260 566 930 1238 1443 1540 1576 1599 1605 1594 1570 1544 1531 1541 1606 1621 1640 1646 1603 1525 1447 1372 1306 1246 1142 1072 1007 922 818 711 630 564 474 441 499 571 592 571 551 534 468 388 328 318 394 482 383 99 104 60 39 37 46 64 88 117 140 164 214 270 320 352 348 316 285 246 207 173 146 135 134 112 95 82 72 72 74 75 76 79 85 98 107 139 208 268 277 251 240 217 183 149 129 113 100 103 131 289 433 357 267 219 208 220 239 252 253 247 235 302 361 311 289 300 307 315 329 350 370 378 376 377 381 386 388
334 314 327 344 336 294 229 167 117 186 463 769 1050 1286 1409 1397 1407 1470 1520 1548 1554 1543 1533 1559 1587 1578 1578 1554 1490 1400 1313 1245 1197 1123 997 944 815 658 561 484 418 364 320 316 329 344 346 315 263 219 197 180 169 180 220 258 234 147 110 75 76 96 117 137 161 176 166 150 151 155 165 176 161 138 129 121 116 121 141 171 180 139 118 106 102 108 110 109 114 129 144 155 176 242 328 356 301 257 252 223 177 142 121 109 103 108 137 180 233 238 232 249 291 337 376 397 377 353 343 363 375 362 371 375 371 374 387 407 420 403 380 390 376 363 349
314 280 277 293 302 280 227 179 188 352 671 959 1200 1408 1528 1516 1424 1392 1467 1538 1552 1535 1525 1514 1546 1542 1493 1389 1253 1138 1072 1021 955 835 744 690 589 475 408 365 315 258 234 219 192 173 165 147 129 137 162 170 169 174 201 241 255 178 114 102 128 163 188 203 220 205 202 211 194 161 140 134 119 101 97 98 106 152 223 274 267 214 193 193 186 173 159 150 159 192 220 199 204 248 290 290 257 222 210 188 172 165 165 172 186 202 232 275 310 334 350 368 397 436 465 472 450 429 431 457 490 499 473 444 416 411 414 414 404 370 359 364 350 335 322
287 238 225 238 251 246 230 245 352 487 650 816 1003 1219 1417 1519 1496 1385 1434 1512 1549 1559 1574 1566 1500 1411 1330 1259 1168 1049 930 839 692 602 545 513 466 408 369 353 324 271 231 185 139 109 96 86 85 96 114 147 184 200 199 209 217 153 124 123 134 152 172 197 228 197 195 225 213 176 155 155 145 110 106 106 115 152 200 229 230 223 239 256 254 249 234 211 220 265 242 198 183 187 194 200 207 192 187 188 197 216 242 269 297 328 377 423 448 453 447 440 435 448 460 458 446 435 433 437 437 443 454 428 402 393 391 383 370 343 425 377 328 295 268
244 199 191 206 227 254 299 366 389 338 311 346 474 698 986 1274 1458 1430 1447 1499 1541 1541 1484 1362 1236 1153 1098 1018 922 808 691 609 548 476 420 387 364 358 369 375 370 330 262 204 163 131 101 81 76 82 116 175 216 215 191 177 174 154 146 154 148 131 124 142 176 188 191 211 205 179 168 189 215 160 151 148 152 169 196 223 242 261 302 343 357 346 321 298 320 354 303 227 192 185 186 193 201 210 224 242 266 296 327 352 375 414 459 482 485 471 446 421 401 403 404 400 396 399 407 413 414 393 394 382 373 368 357 340 338 319 349 307 272 249 230
226 200 203 232 285 337 349 285 129 30 27 108 273 504 775 1070 1363 1450 1461 1471 1472 1438 1365 1283 1203 1043 914 808 678 558 498 471 455 416 388 378 374 375 379 375 362 332 264 220 196 168 134 113 101 114 172 220 232 215 188 164 154 157 171 192 178 140 119 136 164 206 224 235 238 228 207 192 243 224 223 220 215 214 223 249 283 321 361 403 415 402 389 399 462 495 372 271 234 228 228 237 251 259 289 317 345 370 384 383 378 381 392 407 421 418 394 368 357 362 369 377 382 392 405 401 405 384 356 331 311 297 290 278 286 280 267 249 226 194 159
262 270 303 338 357 316 202 70 0 12 87 278 539 828 1068 1182 1275 1334 1355 1347 1315 1264 1203 1144 1075 868 717 616 541 504 500 471 425 413 416 407 384 361 346 322 276 249 216 203 199 187 174 186 169 186 203 219 219 203 181 166 164 185 203 225 227 220 234 271 314 344 353 355 364 377 354 252 247 264 285 292 282 269 269 291 330 360 403 450 474 469 462 491 551 486 362 312 295 276 267 285 324 280 304 332 355 375 376 354 316 285 284 313 348 360 343 324 319 328 340 345 348 356 365 354 338 317 302 290 270 247 235 229 236 230 213 193 168 136 108
405 421 426 376 270 143 44 6 2 36 175 428 710 1052 1361 1380 1207 1132 1155 1152 1088 1010 949 868 791 687 625 573 528 499 481 457 428 421 426 418 395 354 299 249 217 194 166 162 183 202 207 210 178 172 177 190 200 204 208 217 237 258 281 308 335 367 411 453 486 512 524 540 547 537 505 408 323 289 314 339 331 312 322 343 373 395 424 460 492 511 516 521 516 445 407 376 337 293 257 240 233 214 232 255 276 299 316 310 273 250 254 274 288 285 269 259 273 295 300 290 287 300 307 305 294 275 258 242 226 209 191 192 187 172 153 133 108 80 62
554 458 341 212 99 26 0 1 7 68 232 472 725 1044 1355 1407 1162 952 956 958 875 791 750 682 661 614 587 553 511 470 438 415 405 410 417 414 403 376 331 287 270 273 258 259 271 278 271 247 230 221 224 238 259 281 302 315 341 364 388 412 436 465 494 507 509 541 560 584 592 586 580 520 403 353 365 373 365 361 364 379 392 397 406 427 459 492 505 491 459 434 411 372 320 268 222 175 146 140 151 176 211 258 312 335 248 222 228 235 231 223 216 222 252 274 271 254 242 238 226 220 200 184 164 145 136 142 143 133 115 93 74 58 40 26 20
342 208 100 36 7 0 0 2 19 123 310 563 794 1010 1173 1161 926 764 805 802 730 674 657 608 573 539 507 483 459 426 395 386 388 397 399 401 402 405 406 394 391 408 407 398 392 386 372 362 358 361 370 379 385 396 413 412 422 424 427 431 435 438 434 418 395 439 464 489 513 529 537 508 437 421 416 409 403 399 384 381 383 386 388 400 430 465 471 455 433 407 371 324 272 229 189 149 118 103 104 118 147 215 366 394 233 166 165 175 177 178 185 206 233 236 210 170 132 106 79 78 60 42 38 52 80 109 93 72 53 36 22 14 6 2 2
43 11 2 0 0 0 2 16 69 209 414 663 881 1021 1047 929 694 624 710 676 616 592 585 555 519 481 444 420 400 378 361 361 369 374 376 384 395 403 410 426 461 488 507 495 479 477 479 479 481 489 493 487 473 465 467 448 428 409 393 381 380 384 363 319 289 325 359 391 420 439 455 479 453 450 441 426 409 390 375 371 365 367 366 375 394 404 399 384 374 356 328 284 231 191 154 126 99 77 65 61 64 72 60 180 139 99 95 107 120 136 158 176 179 158 116 69 34 15 7 3 3 4 10 31 74 123 65 36 20 11 5 2 0 0 0
20 3 4 7 10 13 27 67 154 309 518 746 907 906 772 627 552 550 593 557 527 516 501 478 459 426 394 374 354 337 329 329 341 354 367 384 404 425 442 456 499 532 562 557 542 538 543 541 538 531 524 513 497 478 457 424 386 353 328 310 317 339 308 266 218 236 278 297 304 345 406 438 404 394 406 416 406 381 360 343 322 314 318 328 335 331 311 298 296 285 263 226 175 136 107 83 59 40 27 20 19 25 32 32 31 31 33 40 57 71 88 90 77 56 34 15 4 1 0 0 0 1 8 30 68 110 54 18 6 2 1 0 0 0 0
82 33 25 31 35 47 82 154 267 412 572 689 691 581 453 411 456 461 460 448 441 436 428 419 408 388 359 333 312 300 297 298 315 342 362 383 406 432 463 493 543 566 583 588 583 573 561 553 541 526 509 490 469 446 419 385 340 299 285 275 277 293 264 228 171 177 214 214 196 236 270 291 281 287 314 345 358 350 330 290 261 251 257 261 248 226 215 211 208 198 181 150 105 72 54 37 20 9 4 3 3 4 7 10 10 9 7 8 8 14 21 20 13 7 3 1 0 0 0 0 0 2 8 23 32 44 28 13 5 0 0 0 0 0 0
149 86 69 67 69 87 132 213 327 449 504 473 394 326 293 292 325 358 373 378 380 380 378 378 373 360 331 305 286 275 274 279 301 341 368 402 442 477 498 507 541 569 589 595 586 567 548 534 517 499 475 449 424 400 378 362 334 303 304 299 277 261 231 178 134 155 180 169 142 142 161 175 186 215 255 267 250 282 285 262 233 215 208 200 183 154 143 138 132 123 110 88 59 36 25 16 8 2 0 0 0 0 1 3 5 5 5 5 4 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 4 6 5 2 0 0 0 0 0 0
185 140 130 121 123 148 195 253 314 360 341 293 265 259 265 274 288 321 344 357 363 369 373 372 368 346 314 286 265 257 264 285 314 360 408 447 479 504 515 509 517 547 571 574 557 532 509 495 480 466 445 420 390 362 344 354 360 350 338 314 277 240 198 150 128 174 186 157 136 122 130 142 149 162 180 192 199 228 248 251 241 222 196 167 136 101 93 91 84 73 61 47 30 17 10 9 7 4 2 1 2 0 0 0 2 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
195 166 177 181 186 211 244 265 264 254 239 243 254 268 282 296 314 340 358 377 386 391 388 374 372 337 298 259 227 217 241 294 342 402 468 512 538 553 558 549 531 540 547 536 513 486 465 455 449 442 430 411 385 357 337 355 404 402 361 317 289 265 231 195 173 198 201 176 162 148 136 134 127 125 131 146 174 212 239 254 251 228 191 148 107 76 72 67 58 47 37 28 17 6 3 3 3 2 1 1 3 1 0 0 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
240 235 244 242 241 250 257 256 252 258 272 288 300 309 317 327 347 377 386 400 407 407 398 378 349 316 281 233 188 176 214 289 369 451 518 558 579 592 605 601 558 544 535 512 479 449 432 427 433 441 445 439 422 397 373 372 409 405 374 343 327 319 296 266 236 226 213 192 181 184 178 146 132 123 114 125 164 184 199 215 212 192 163 127 90 66 60 57 51 40 28 20 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
296 296 291 284 281 281 280 286 303 322 334 342 350 356 363 374 383 379 380 385 383 373 352 322 290 270 247 206 167 160 205 295 407 498 558 587 593 602 625 620 562 538 524 498 462 429 411 411 428 451 476 489 483 456 425 403 407 416 408 384 365 352 343 306 250 207 175 149 134 131 150 154 146 132 114 88 69 77 102 130 146 141 120 99 76 61 55 52 46 34 19 10 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
328 326 325 327 332 334 334 339 351 358 358 355 353 349 344 340 333 324 323 324 318 307 292 269 236 210 190 179 166 171 220 308 423 512 577 602 588 574 598 596 549 528 511 485 452 424 405 398 409 442 488 526 539 522 489 447 424 410 394 371 344 328 308 249 195 155 113 67 42 25 45 60 63 51 33 24 27 11 22 40 47 49 54 54 45 36 32 29 25 19 10 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
360 366 375 385 396 396 393 388 381 367 346 322 300 276 250 229 214 208 212 217 216 209 198 183 162 146 142 159 171 190 236 306 384 469 552 602 602 576 565 551 528 514 496 472 446 424 407 387 381 405 457 518 564 579 567 484 389 329 301 278 249 240 222 179 147 98 43 13 5 1 3 3 1 0 0 1 0 0 0 4 5 4 7 13 12 12 10 7 5 5 3 3 3 2 3 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 0 0 0 0 0
398 403 414 425 432 427 416 402 382 352 314 276 239 200 160 126 106 99 98 103 108 109 102 93 91 85 110 139 167 198 238 282 332 402 471 533 553 534 518 502 489 479 462 442 425 414 406 390 377 381 413 467 513 527 538 429 288 205 169 143 117 118 130 116 75 31 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 2 4 3 2 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 0 0 0 0 0
411 408 411 413 410 399 382 358 327 291 254 226 203 166 129 96 61 34 30 29 30 31 28 26 41 44 83 124 164 205 250 293 319 365 418 466 488 480 463 438 418 408 399 389 381 386 397 398 390 382 386 395 386 340 320 231 129 68 45 35 27 31 42 41 22 5 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 1 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 0 0 0 0 0 0
365 352 351 352 347 335 318 297 272 243 206 183 183 156 126 98 56 12 5 3 2 3 4 2 5 36 82 128 171 224 300 386 370 369 408 438 444 428 399 358 342 335 341 343 340 341 344 345 338 311 279 256 233 161 106 58 25 8 3 2 2 3 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
320 302 297 296 293 287 277 264 247 224 190 165 174 161 136 108 77 39 20 8 3 4 5 9 25 65 117 162 197 236 292 352 325 331 371 400 405 390 364 324 318 312 317 317 302 273 234 213 193 152 109 82 71 44 18 6 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 0 0 0 0 0 0
302 285 280 280 280 282 278 265 247 231 214 197 202 200 185 162 135 100 79 49 33 25 24 33 62 110 156 190 209 218 224 233 241 267 293 314 324 327 326 307 297 282 267 247 213 164 105 71 52 32 16 7 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
322 306 300 304 307 313 310 298 286 278 272 263 258 253 244 232 214 186 157 121 94 74 62 64 86 116 146 170 186 185 173 167 186 205 201 208 216 214 211 193 178 163 143 117 85 50 21 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
365 353 352 361 353 349 338 322 307 295 282 271 255 243 241 244 242 227 192 160 133 112 97 93 100 110 128 148 169 180 177 171 178 168 146 135 121 96 78 54 43 38 32 22 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
399 398 397 389 357 335 310 286 258 224 190 182 162 150 149 155 161 159 143 123 105 92 86 87 98 117 126 134 140 142 139 133 129 102 85 67 46 27 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
406 394 364 327 284 247 206 167 130 96 73 66 57 51 48 48 49 50 50 47 40 35 34 37 41 55 70 72 67 60 52 43 35 29 24 16 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
326 300 261 218 174 133 96 64 37 19 10 9 7 7 6 6 5 4 6 6 5 5 5 4 3 5 12 14 12 9 7 4 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
211 178 143 107 75 47 27 14 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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