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 9 10 10 9 10 10 10 10 10 10 10 9 8 8 8 7 6 6 6 6 6 7 8 9 8 8 8 8 9 10 11 11 10 9 7 6 6 8 10 12 12 12 11 10 9 9 9 8 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 7 6 6 6 5 5 6 6 6 6 7 7 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 10 11 10 10 9 9 9 9 8 8 9 10 11 10 10 9 9 9 8 8 9 9 9 10 10 11 11 12 13 13 12 11 9 7 7 7 8 7 7 7 8 8 9 10 11 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 nan
nan 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 9 8 7 6 6 6 7 8 9 8 8 8 9 10 11 12 12 12 10 8 7 7 8 10 12 12 12 11 11 10 10 9 9 10 10 10 9 9 9 9 9 8 7 7 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 7 6 7 7 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 11 10 10 9 9 9 8 8 7 8 9 10 10 9 8 8 7 7 8 8 8 8 8 9 9 10 11 11 12 12 11 9 8 8 7 7 7 7 7 7 8 8 9 11 11 10 9 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 11 10 9 8 7 6 5 5 6 7 7 8 8 8 8 9 9 10 10 9 9 9 8 8 8 nan
nan 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 8 7 7 8 9 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 10 11 12 11 10 10 11 10 9 9 9 10 10 11 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 6 7 7 7 7 7 8 8 9 9 10 10 10 10 11 11 11 10 10 9 10 10 10 10 10 10 10 9 8 7 7 7 9 10 10 9 8 7 6 6 6 6 6 6 7 7 8 9 9 10 11 12 11 10 9 9 8 8 7 7 7 7 7 8 9 10 10 10 9 9 9 9 9 10 10 9 9 8 8 7 8 8 9 10 11 11 10 9 8 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 9 9 8 7 7 nan
nan 8 8 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 12 11 9 9 10 10 10 10 11 12 12 10 9 10 11 11 9 9 9 9 10 11 12 12 11 10 9 9 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 9 10 10 10 10 11 11 12 11 10 9 9 9 9 9 10 10 10 9 8 8 7 7 8 9 10 10 9 7 6 6 6 6 6 6 6 7 7 8 9 9 10 10 10 10 9 9 9 8 8 8 7 6 6 7 8 9 9 10 10 10 10 10 9 9 9 9 9 8 7 6 6 7 8 9 10 9 9 9 8 7 7 6 6 7 7 8 9 9 9 8 9 10 10 10 10 9 7 7 7 nan
nan 7 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 9 9 9 9 10 10 10 10 9 9 10 11 11 10 8 7 9 10 10 10 11 12 12 10 10 11 12 11 10 10 10 10 11 11 12 13 12 11 10 10 9 9 8 7 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 8 8 8 8 9 10 10 10 10 11 12 12 11 10 9 8 8 9 9 9 9 9 9 9 8 8 7 7 8 10 11 10 8 7 6 6 6 6 6 7 7 8 8 8 9 9 9 10 10 9 9 9 8 8 8 8 7 6 6 7 8 9 9 9 9 10 9 9 8 8 9 9 9 8 7 7 8 9 9 8 8 8 8 8 8 7 6 6 7 8 8 9 9 8 8 8 9 10 11 10 8 7 7 7 nan
nan 7 7 7 7 7 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 7 7 8 9 9 10 11 12 12 11 11 11 12 11 11 11 11 12 12 11 11 12 12 11 10 10 10 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 8 9 9 8 8 9 10 10 10 10 10 11 12 12 10 9 8 8 8 9 8 8 9 9 9 8 8 7 7 7 9 10 10 9 8 7 7 7 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 9 9 8 8 7 6 6 7 8 9 9 9 9 9 8 8 8 9 10 9 8 8 8 9 10 9 7 6 5 5 6 7 7 7 7 8 9 9 9 9 8 8 9 10 10 10 9 8 8 7 7 nan
nan 6 6 6 6 6 6 6 7 7 7 7 7 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 9 10 11 11 11 11 10 9 10 10 11 11 11 10 9 10 10 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 7 7 8 9 8 7 8 9 10 10 10 9 9 10 11 11 11 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 9 9 9 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 6 4 3 4 6 8 9 9 9 9 9 10 10 9 9 10 10 11 10 9 7 8 8 8 7 nan
nan 6 6 5 5 5 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 9 10 10 10 9 8 8 9 10 9 9 8 7 6 6 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 9 8 8 8 9 9 9 8 8 7 6 7 7 9 10 10 10 9 9 8 8 8 7 7 7 8 9 9 7 5 4 4 6 8 10 11 10 9 9 9 9 10 9 9 10 11 11 9 8 7 7 7 7 6 nan
nan 6 5 5 5 5 5 6 6 7 7 7 6 6 7 7 8 8 9 9 8 8 8 8 9 9 9 9 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 10 10 9 7 6 5 4 4 4 4 4 5 5 5 6 6 7 7 8 8 9 9 8 8 7 7 7 8 8 8 8 8 7 7 6 6 6 8 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 6 7 8 9 10 10 10 9 7 6 6 6 6 6 7 7 7 5 4 4 5 8 11 12 10 9 8 8 8 8 8 9 9 9 9 9 8 7 7 6 5 5 4 nan
nan 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 7 9 10 11 10 8 7 5 5 4 5 5 5 5 5 6 6 6 6 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 6 6 5 6 7 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 9 10 10 10 10 8 6 6 7 7 7 7 6 5 4 4 5 7 9 11 10 8 7 7 7 7 7 7 8 8 9 8 7 7 6 5 4 3 3 3 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 11 12 11 10 9 8 7 8 8 9 8 8 7 7 7 7 7 6 7 7 8 8 7 7 6 6 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 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 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 8 7 8 8 8 8 7 6 5 5 6 7 9 10 9 8 6 6 7 8 7 7 8 8 8 8 7 6 5 5 4 3 2 2 3 nan
nan 7 7 7 8 8 8 8 7 6 6 7 7 8 9 9 9 9 9 10 10 10 10 10 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 9 10 12 13 13 11 9 9 9 10 11 12 12 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 10 10 9 8 9 9 8 8 7 7 7 7 8 9 10 10 8 7 7 7 8 8 7 7 8 8 8 7 6 5 4 4 3 3 2 3 4 nan
nan 7 8 8 9 9 8 7 6 5 5 6 7 8 9 9 9 9 9 9 9 9 10 10 11 11 11 9 8 8 8 8 8 9 9 9 8 8 8 9 9 8 8 9 10 10 10 11 13 14 13 11 9 9 8 9 11 13 14 14 12 11 11 10 9 9 8 7 7 7 7 7 8 8 8 8 7 8 8 9 9 8 8 7 6 6 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 7 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 10 9 9 8 8 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 7 7 7 6 6 7 8 9 8 7 6 6 5 5 4 4 5 6 7 nan
nan 8 9 9 9 9 9 7 6 5 6 7 8 9 9 10 10 10 9 9 8 9 9 10 10 10 9 8 7 6 7 7 7 7 8 8 8 8 9 9 10 10 9 9 9 9 10 11 12 13 13 11 9 8 8 8 9 11 13 13 12 11 10 10 9 9 8 8 7 8 8 9 10 10 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 8 8 8 6 6 8 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 6 5 6 7 9 9 9 8 7 7 6 5 5 6 8 10 11 nan
nan 8 9 9 10 10 9 7 6 6 6 7 8 9 10 10 10 10 9 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 10 11 12 13 11 10 9 8 7 7 8 9 10 10 9 9 8 9 8 8 7 7 8 9 10 10 10 9 9 9 9 9 8 8 9 10 9 8 7 6 6 6 8 8 8 8 9 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 10 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 7 6 6 6 8 10 12 12 nan
nan 8 8 9 9 9 9 7 6 6 7 7 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 10 10 10 12 12 12 11 10 8 7 6 6 7 7 8 8 8 8 8 8 8 7 7 7 8 9 10 10 9 9 9 8 7 7 8 9 10 9 8 7 6 6 6 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 11 11 10 11 11 11 11 10 9 8 8 8 7 7 6 6 7 7 7 7 7 7 7 6 7 8 10 12 12 11 nan
nan 8 9 9 9 9 8 7 6 7 8 8 8 7 6 6 6 7 8 8 8 8 8 7 7 8 8 9 10 10 9 9 8 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 10 10 11 11 11 10 9 8 8 7 7 7 7 8 9 9 8 8 8 7 7 7 8 8 9 9 9 10 9 7 7 7 7 8 8 8 9 8 7 6 6 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 10 10 11 11 12 13 12 11 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 11 11 11 9 nan
nan 9 10 10 9 8 7 6 6 7 8 9 9 8 7 6 6 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 8 8 8 7 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 10 11 13 13 12 11 9 8 7 6 6 7 7 7 8 8 8 8 8 7 8 9 9 10 10 9 8 nan
nan 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 9 10 11 11 10 9 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 7 8 8 8 7 6 5 5 6 7 7 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 8 8 8 7 7 8 7 7 7 8 9 9 9 9 9 10 11 12 12 11 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 10 10 10 9 8 8 8 8 8 8 7 6 7 7 8 8 7 6 6 7 9 10 11 10 10 10 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 7 8 8 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 7 7 7 7 7 6 5 5 5 6 7 7 8 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 7 7 6 7 7 7 8 7 7 7 7 7 7 nan
nan 10 10 9 9 8 8 8 8 7 6 5 6 6 7 7 8 7 6 6 7 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 9 8 8 8 9 9 8 8 9 9 8 7 7 8 9 9 8 8 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 9 9 10 11 12 12 11 10 8 7 7 8 8 8 7 7 7 7 7 7 7 nan
nan 9 9 8 8 7 7 7 6 5 5 5 6 7 7 7 7 6 7 7 8 9 9 10 9 7 7 7 7 8 8 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 8 9 8 8 7 7 7 8 8 9 10 11 11 11 10 9 9 9 9 10 9 7 7 7 7 7 7 7 7 nan
nan 8 7 7 7 7 6 6 5 5 5 7 8 8 8 8 6 6 7 8 9 9 8 8 7 6 6 7 8 8 8 7 7 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 9 9 9 9 9 8 8 8 9 10 10 10 11 10 9 9 9 9 8 9 10 10 9 8 7 6 6 6 7 7 7 7 7 7 7 6 7 6 6 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 9 9 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 9 9 9 9 8 8 8 9 9 9 8 7 8 8 9 9 8 8 8 nan
nan 6 6 6 6 6 6 6 5 5 6 7 8 9 8 7 6 6 7 8 8 8 7 6 6 6 7 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 5 5 6 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 10 11 11 10 9 9 9 nan
nan 6 6 6 6 6 5 5 5 5 6 6 7 8 8 7 5 5 6 7 7 7 6 6 6 7 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 8 10 10 10 9 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 9 9 9 nan
nan 6 7 7 6 6 5 4 4 5 5 6 7 7 7 6 6 7 7 7 7 7 6 6 6 7 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 9 9 10 10 10 9 8 8 8 8 8 9 8 8 8 8 8 8 8 7 6 6 8 9 10 10 8 7 7 7 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 8 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 8 8 8 8 9 9 10 11 11 10 10 10 9 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 nan
nan 8 7 7 6 6 5 4 5 5 6 6 7 7 7 7 7 8 8 8 7 6 5 5 6 7 7 8 8 7 8 8 7 7 8 8 8 7 7 7 7 7 8 9 9 10 10 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 11 11 10 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 9 9 9 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 9 9 9 nan
nan 8 7 6 6 5 5 5 6 6 6 7 7 7 7 7 8 8 7 7 6 5 4 5 6 7 8 8 8 8 9 8 7 7 7 8 8 7 7 6 6 6 7 8 9 9 9 9 8 8 8 8 9 9 9 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 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 7 6 6 5 5 6 7 7 7 7 6 6 6 7 7 6 6 5 4 4 4 6 7 8 8 8 8 8 8 8 7 7 7 8 8 8 7 6 6 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 7 6 6 7 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 8 7 8 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 7 6 6 6 6 7 7 7 6 6 5 5 5 5 5 5 4 4 3 4 5 6 7 8 8 8 8 8 8 7 7 8 8 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 7 6 6 7 9 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 8 9 8 9 9 8 8 7 7 8 8 7 7 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 8 7 7 7 7 7 7 7 7 6 5 4 5 5 6 5 5 5 4 4 5 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 7 7 7 6 7 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 8 9 9 8 8 7 8 8 9 9 9 8 9 9 8 7 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 9 9 10 10 10 9 8 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 nan
nan 8 8 7 7 6 6 7 7 6 5 4 4 5 6 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 8 7 7 8 9 9 8 7 7 7 8 9 9 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 nan
nan 9 8 7 6 6 6 6 6 6 5 4 4 5 6 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 8 8 8 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 9 8 7 8 9 9 9 8 8 8 8 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 8 8 nan
nan 9 8 7 5 5 6 6 6 5 4 4 4 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 8 8 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 10 11 11 12 11 10 10 9 9 9 9 8 9 9 9 9 9 9 9 8 9 9 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 8 8 8 9 9 8 8 8 9 9 9 9 8 8 7 8 8 7 7 7 8 8 7 7 6 6 7 7 6 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 nan
nan 8 7 6 5 5 6 5 5 4 4 4 5 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 9 8 9 9 10 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 9 9 10 9 9 7 7 6 6 7 7 7 7 8 8 7 7 7 7 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 7 6 6 6 5 5 4 4 4 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 8 8 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 7 7 6 7 7 8 8 7 7 8 8 8 8 8 8 9 9 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 nan
nan 8 7 6 6 6 5 5 4 4 4 4 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 9 9 10 10 9 8 7 7 7 8 9 10 9 8 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 8 8 8 8 8 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 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 9 9 9 10 nan
nan 7 6 6 6 5 5 4 4 4 4 5 5 6 7 8 8 8 8 8 9 9 9 9 9 8 9 9 11 11 12 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 10 10 10 10 9 8 8 7 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 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 9 9 9 9 nan
nan 6 5 5 5 5 5 4 4 4 5 5 6 6 7 8 8 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 9 8 7 7 7 6 6 6 7 7 8 8 8 9 9 8 7 6 5 5 6 7 7 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 8 8 8 9 9 9 10 10 10 9 9 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 nan
nan 5 4 4 5 6 6 5 5 5 5 6 7 7 8 8 9 9 9 10 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 11 11 10 9 8 7 7 7 7 8 8 8 9 9 9 10 9 9 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 7 7 8 9 9 9 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 8 8 8 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 nan
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nan 9 9 10 10 11 11 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 9 8 8 8 8 8 9 8 8 8 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 9 8 7 6 6 6 7 9 10 10 9 8 7 7 8 8 9 10 11 11 11 12 12 14 15 15 14 12 10 8 8 9 10 11 12 12 11 11 10 9 9 9 9 8 6 4 3 4 5 7 8 8 8 8 8 7 7 8 9 10 10 10 12 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 11 nan
nan 9 10 11 11 11 11 10 9 9 9 9 9 10 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 14 14 13 13 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 8 7 6 6 7 8 9 10 9 8 7 7 8 9 9 10 10 10 10 12 14 16 17 16 13 11 9 8 9 11 12 13 13 13 12 11 9 9 9 10 10 9 7 6 5 4 5 7 8 8 9 8 8 7 7 8 9 9 10 11 13 14 14 14 14 13 13 12 12 12 11 11 10 10 10 11 12 nan
nan 10 10 10 10 10 9 9 8 8 8 9 9 10 11 11 10 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 14 14 15 15 15 14 14 13 13 12 11 11 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 8 8 7 6 7 8 9 9 9 8 7 7 8 9 9 10 10 10 10 12 15 18 17 15 13 11 11 11 11 12 13 14 14 14 13 11 11 11 11 11 11 11 11 11 10 9 8 8 8 7 7 7 6 5 6 7 8 9 10 12 14 14 14 14 14 13 13 12 12 11 11 11 10 10 10 11 12 nan
nan 10 11 11 10 9 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 12 12 12 12 13 14 15 15 16 16 15 14 13 12 11 10 10 9 8 8 8 8 8 8 9 9 10 10 10 11 12 12 12 11 10 10 10 9 9 9 9 10 10 9 8 8 9 9 9 8 8 8 9 9 9 8 7 6 6 7 7 8 9 9 8 7 7 8 9 9 9 9 9 11 13 16 18 17 14 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 13 14 14 14 13 11 9 7 6 5 5 4 5 6 8 9 11 12 13 14 15 14 14 14 13 13 12 11 11 11 11 10 10 10 12 13 nan
nan 11 11 11 10 9 9 8 8 8 9 9 10 11 10 9 9 9 9 9 9 9 9 9 9 10 9 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 14 15 15 15 15 14 13 12 11 9 8 7 7 7 7 7 8 8 9 9 10 10 11 11 12 12 12 12 11 11 10 10 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 9 8 8 8 8 9 9 9 9 11 13 16 17 16 14 13 12 12 12 12 12 12 12 12 12 12 13 14 13 12 11 11 13 14 15 15 15 14 12 10 8 6 6 6 7 9 10 11 12 13 14 14 14 14 13 13 13 12 11 11 10 10 10 11 11 11 12 13 nan
nan 11 11 11 11 10 10 9 9 9 9 10 11 11 10 9 8 8 9 9 9 9 9 10 10 10 9 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 14 14 14 14 14 13 12 11 10 9 8 7 6 6 7 7 8 9 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 9 10 10 9 8 8 8 8 9 9 10 11 13 15 15 14 13 13 12 12 12 12 12 12 12 11 11 12 12 12 12 11 11 11 12 13 14 16 17 18 17 15 11 10 9 10 11 12 12 13 13 14 14 13 13 12 12 12 12 12 11 10 10 11 11 11 11 12 12 13 nan
nan 9 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 11 11 11 10 10 10 10 10 9 10 10 10 11 11 11 11 12 12 12 13 13 13 13 14 14 14 14 13 13 12 12 11 10 9 8 8 7 7 7 7 8 9 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 8 8 7 8 8 8 7 8 8 7 7 8 9 9 8 8 8 8 8 9 9 9 8 8 8 9 10 10 9 7 7 8 8 9 10 10 11 12 12 13 13 13 12 11 11 11 12 13 13 12 12 11 11 11 11 11 11 12 13 14 15 16 17 17 17 15 13 12 11 12 12 13 13 13 13 13 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 nan
nan 7 8 8 8 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 10 11 11 11 10 10 10 9 9 10 10 11 11 11 11 12 12 13 13 13 14 14 14 14 14 13 13 12 12 11 10 10 9 8 8 8 9 9 9 10 10 10 11 12 12 13 13 13 12 11 11 10 10 9 9 9 10 10 10 9 8 8 8 7 7 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 10 9 7 7 8 8 9 9 9 8 9 11 13 14 14 12 11 11 11 12 13 13 12 11 11 11 11 11 11 12 13 14 14 14 14 14 13 13 12 12 12 12 12 12 13 13 13 13 13 14 14 14 13 11 10 10 11 12 12 12 12 11 11 11 11 11 12 nan
nan 6 7 7 7 7 8 9 10 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 8 10 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 13 13 14 14 14 14 14 13 13 12 11 10 10 9 9 9 9 9 9 9 10 11 11 12 12 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 10 10 9 9 8 8 8 7 7 6 7 8 8 8 9 10 10 10 10 10 10 9 9 8 8 9 9 9 8 8 8 9 8 8 8 8 8 8 8 7 7 9 12 16 17 16 14 12 11 12 12 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 10 10 9 9 10 11 11 12 12 12 13 13 13 14 14 14 14 12 11 10 10 12 13 13 12 12 12 11 11 11 12 14 nan
nan 7 7 7 7 8 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 11 11 11 11 10 10 10 10 11 11 11 12 12 12 13 13 14 14 15 15 14 14 13 12 11 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 11 10 10 11 11 10 10 10 9 9 9 9 10 10 10 9 9 9 8 8 7 7 6 7 8 8 9 9 10 10 10 11 11 10 10 9 8 8 9 9 9 7 6 7 8 9 9 9 9 9 7 7 6 6 10 14 17 19 17 14 12 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 10 11 12 12 12 12 13 13 14 14 14 13 12 11 11 12 14 15 15 13 11 11 11 12 14 17 18 nan
nan 8 8 8 9 9 9 9 10 10 10 10 9 9 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 9 10 10 11 11 12 12 12 12 13 13 14 15 15 15 14 13 12 11 10 9 9 9 9 9 10 10 11 11 12 12 11 11 11 12 12 12 11 10 10 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 9 9 9 10 11 12 12 12 11 10 9 9 9 9 8 7 6 6 7 9 10 10 10 8 7 6 6 8 11 15 17 16 14 11 10 10 9 8 8 9 9 9 9 10 11 11 11 11 11 11 11 10 9 9 9 8 8 8 10 11 11 11 12 12 13 13 14 13 13 12 12 13 14 15 16 16 14 12 11 12 14 17 21 22 22 nan
nan 8 8 9 10 10 10 10 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 10 9 9 8 8 9 9 10 11 11 11 10 9 9 10 11 11 12 12 12 12 13 14 15 15 16 15 14 13 12 11 10 9 9 9 9 10 10 11 11 13 13 13 13 12 11 11 11 11 11 11 10 9 9 8 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 8 8 7 7 8 8 8 9 9 9 10 11 12 13 14 14 12 11 10 9 9 9 10 10 9 8 8 8 9 10 9 7 6 6 7 10 12 14 14 12 9 7 7 6 6 8 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 8 9 10 10 11 12 12 13 13 13 13 12 12 13 14 16 17 16 14 12 11 11 13 16 20 23 24 23 22 nan
nan 7 8 8 9 10 11 10 10 9 9 8 8 7 7 7 8 8 9 10 10 11 11 10 9 9 8 8 9 9 10 11 11 11 10 10 10 11 11 12 12 12 13 13 14 15 16 16 15 14 12 11 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 11 10 10 10 10 10 10 9 8 8 8 9 9 10 10 9 9 9 9 10 11 11 10 10 9 9 8 7 8 8 9 9 9 9 9 10 11 13 14 14 13 13 12 11 11 10 10 11 12 12 10 8 8 9 9 8 6 6 7 9 11 13 12 12 9 7 5 4 4 7 11 13 14 13 12 12 12 12 12 12 12 12 11 10 10 11 11 11 9 8 8 9 10 11 13 13 13 13 12 11 11 12 14 17 19 18 14 10 8 8 13 18 22 24 25 24 23 20 nan
nan 7 7 7 8 10 10 10 10 9 9 8 8 8 8 8 9 9 10 11 11 11 11 10 9 8 8 7 8 9 10 10 10 10 10 10 10 11 12 12 12 13 14 15 16 16 16 15 14 12 11 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 8 8 8 9 10 10 10 9 9 10 11 12 13 13 13 13 13 13 12 11 11 12 12 12 11 10 9 9 8 6 4 5 8 10 12 13 12 12 11 9 7 6 6 11 15 16 15 15 15 15 15 14 13 13 12 11 11 10 11 11 11 9 7 6 7 9 11 13 14 14 13 12 11 10 10 12 14 15 16 14 10 7 7 11 17 22 25 26 26 25 23 20 nan
nan 8 8 8 8 9 10 11 11 10 9 9 8 9 9 9 10 11 11 12 12 12 12 11 9 8 7 7 8 9 10 10 10 10 10 10 11 12 12 12 13 13 15 16 16 16 15 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 10 10 10 10 10 9 8 8 8 9 10 10 9 10 10 12 12 12 13 13 13 13 13 12 12 12 12 13 13 12 11 10 8 6 3 3 6 9 12 13 13 13 14 13 12 10 9 11 15 16 16 15 15 15 15 14 14 13 12 11 10 9 8 8 7 6 4 3 4 7 10 13 14 15 14 13 12 11 11 11 12 12 10 8 5 4 6 10 17 22 25 26 26 25 23 20 16 nan
nan 9 9 9 9 10 11 11 11 10 9 9 9 9 10 10 11 11 12 12 12 12 12 12 10 9 8 8 8 9 9 9 9 9 10 11 12 12 13 13 13 14 15 16 15 14 13 12 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 10 9 9 9 10 10 10 10 9 9 9 9 10 11 11 10 10 9 9 9 9 8 7 7 8 9 10 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 10 7 4 4 6 9 11 13 14 14 15 15 13 12 12 12 14 16 16 15 15 15 14 13 13 12 11 11 10 8 6 4 3 3 2 2 4 6 10 13 15 15 15 14 13 13 13 14 15 14 11 7 4 4 5 9 16 21 24 25 25 24 21 18 15 12 nan
nan 8 9 9 10 11 12 12 11 10 9 8 8 9 10 11 11 12 12 12 12 13 13 13 12 11 10 9 8 8 8 8 8 8 9 11 12 13 13 13 13 14 15 15 14 13 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 9 9 9 10 11 11 11 10 9 9 9 10 11 11 11 10 9 9 9 9 8 7 7 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 6 5 7 10 12 14 14 15 16 15 14 13 12 12 13 14 15 15 16 17 17 15 14 12 10 9 7 5 3 1 0 1 3 5 8 11 14 16 16 15 15 15 15 15 16 17 19 19 17 14 11 9 9 11 15 19 22 23 23 23 20 17 14 12 11 nan
nan 8 9 10 10 11 12 13 12 10 9 8 8 8 9 10 11 12 12 12 12 12 13 13 13 13 12 10 9 8 7 6 6 7 9 10 12 13 13 13 14 14 14 14 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 10 10 11 11 11 10 10 9 10 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 11 11 11 10 8 6 7 10 12 14 15 16 17 16 14 12 12 12 12 13 14 14 15 17 19 19 17 14 11 7 4 2 0 -1 -0 2 5 9 13 16 17 17 17 16 16 16 16 17 18 19 19 19 19 17 16 14 13 13 14 17 19 21 22 22 20 17 14 12 12 12 nan
nan 9 10 10 11 11 12 12 12 11 10 9 9 8 9 10 11 12 12 12 12 12 13 14 14 14 14 12 10 7 6 5 6 7 8 10 12 13 13 14 14 15 14 13 12 11 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 11 11 11 10 10 9 10 10 10 9 9 9 9 9 9 10 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 12 12 12 11 11 10 9 8 8 10 12 13 14 16 18 17 14 12 11 13 14 14 14 13 13 15 17 18 18 16 13 8 3 1 1 2 4 6 10 14 18 20 20 19 17 17 18 18 18 18 18 18 17 16 15 14 12 11 10 10 11 14 17 19 21 22 21 18 15 13 12 12 12 nan
nan 10 10 10 10 11 11 11 11 11 10 10 9 9 8 9 10 11 12 12 12 12 12 13 15 15 15 14 11 8 6 6 6 7 9 10 11 13 14 15 16 15 14 12 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 8 9 9 10 11 11 10 9 9 9 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 11 11 11 10 9 9 10 11 12 12 14 15 15 13 12 11 13 16 17 16 14 13 14 15 17 19 19 18 14 8 6 6 8 11 13 16 18 21 23 22 19 17 16 17 18 17 16 15 14 13 11 10 9 9 8 7 7 10 13 17 19 20 21 20 18 15 14 13 12 12 12 nan
nan 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 12 12 13 14 15 14 12 10 8 7 7 8 9 10 11 12 14 15 16 15 13 12 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 10 10 10 10 10 11 11 12 12 13 12 12 11 13 16 18 19 17 14 14 15 18 20 22 23 21 17 13 13 14 16 18 19 20 21 22 20 17 14 12 12 13 12 12 11 10 9 7 7 7 9 10 11 12 13 15 18 19 20 19 19 17 15 14 13 13 13 13 12 nan
nan 9 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 13 14 14 13 11 10 9 9 10 10 11 11 13 14 15 15 14 12 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 7 7 8 8 9 10 10 10 11 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 8 9 9 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 14 16 17 16 15 14 14 16 19 21 21 21 19 17 16 16 17 17 18 18 18 18 16 13 10 8 9 10 11 10 10 9 9 8 8 10 12 13 15 16 17 18 19 19 18 17 16 16 14 13 13 13 13 13 13 13 nan
nan 10 10 10 11 11 11 10 10 10 10 9 8 8 8 7 7 7 7 8 8 8 9 9 10 11 12 13 13 12 12 12 12 12 12 12 13 14 15 15 14 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 8 8 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 12 12 13 15 16 17 16 15 14 14 14 14 14 14 14 14 13 13 11 11 10 10 11 13 14 14 14 14 14 13 14 16 17 18 17 16 16 16 16 16 15 14 14 13 13 12 12 12 13 13 13 14 nan
nan 11 11 11 11 11 10 10 10 10 9 8 8 7 7 6 6 6 6 7 8 8 9 9 10 11 11 12 12 13 13 14 14 14 15 15 15 15 15 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 8 8 8 9 9 10 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 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 12 13 15 16 16 15 15 15 16 16 16 16 16 17 17 16 15 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 13 nan
nan 12 12 12 11 11 11 11 11 10 9 8 7 7 6 6 6 6 7 8 8 9 10 11 11 11 11 12 12 13 14 14 15 15 15 16 16 15 14 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 10 10 10 9 8 8 9 10 11 11 11 10 10 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 8 9 9 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 8 8 7 7 8 9 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 9 9 10 10 11 12 12 13 13 13 14 15 16 16 15 14 14 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 11 11 11 11 10 10 nan
nan 11 11 12 11 11 11 11 10 9 9 8 7 6 6 6 6 7 8 9 10 10 11 11 12 12 12 12 13 13 14 14 14 14 14 15 15 14 12 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 10 9 9 10 11 11 11 11 11 10 9 9 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 9 9 8 7 5 4 3 4 6 8 10 11 12 11 12 12 12 11 11 10 10 11 11 11 9 7 6 7 9 12 14 14 14 14 14 14 14 14 14 13 12 12 12 12 11 11 11 11 11 12 12 13 14 14 14 14 13 13 13 13 13 13 12 11 11 10 10 10 10 8 nan
nan 10 10 11 11 11 11 10 9 8 8 7 6 6 6 6 7 8 9 10 11 11 11 11 12 12 12 13 14 15 15 15 14 14 13 13 13 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 11 10 10 10 10 10 9 9 9 9 9 10 11 11 11 10 11 11 12 12 12 12 11 11 10 10 9 8 8 8 8 8 9 11 11 10 9 8 7 7 7 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 7 5 3 1 0 1 3 7 10 11 12 11 11 11 11 10 9 8 8 9 10 10 9 6 3 4 7 12 16 16 15 14 13 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 12 13 13 13 14 14 14 13 13 13 13 12 12 12 11 11 11 10 10 10 10 nan
nan 9 10 11 11 11 11 10 9 8 7 7 6 6 6 7 8 9 10 11 11 11 11 11 12 12 13 14 15 15 15 15 14 13 13 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 11 11 11 11 12 12 12 12 11 11 12 12 12 10 8 7 6 6 6 8 10 12 12 10 9 8 9 9 8 8 8 9 10 10 11 11 11 11 12 11 11 11 11 11 10 10 10 9 8 7 4 2 -1 -2 -0 3 7 10 12 12 12 12 11 11 10 8 6 5 6 8 9 8 6 2 1 6 12 18 20 18 14 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 10 9 9 8 7 7 7 7 8 9 10 11 12 12 11 11 12 12 13 14 15 15 16 15 15 14 13 12 12 12 12 12 12 12 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 10 10 11 10 11 11 11 11 11 10 10 11 13 14 15 13 10 8 6 5 4 5 7 9 10 9 9 10 11 12 12 11 8 7 7 8 9 10 10 11 11 11 12 12 12 11 10 9 8 7 5 3 1 -1 -2 -0 3 7 10 11 11 11 12 13 13 12 11 9 8 7 8 9 9 8 5 2 6 13 20 25 23 17 13 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 11 10 10 9 9 9 9 8 8 8 8 9 9 10 11 12 12 12 12 13 14 15 15 15 15 15 14 14 13 12 11 11 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 10 13 14 15 14 12 11 9 7 5 4 4 5 5 7 8 11 14 15 15 14 11 8 7 7 7 8 9 10 10 11 11 12 12 12 10 9 7 5 3 1 -0 -0 1 4 8 10 10 10 10 10 11 12 13 13 13 12 12 12 12 12 11 9 7 8 15 22 27 27 20 15 12 11 11 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 10 10 9 9 8 8 8 8 8 8 8 9 9 10 11 12 13 13 14 14 15 16 16 16 15 14 12 12 11 11 11 11 11 12 12 12 12 11 11 10 10 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 10 11 13 14 14 15 14 14 12 9 7 5 4 5 7 10 12 15 16 16 14 12 11 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 7 4 3 3 4 6 8 9 10 10 10 10 10 11 11 12 12 13 13 13 13 13 12 11 10 10 14 19 23 26 22 16 13 10 10 11 12 12 11 11 11 11 11 11 10 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
111 96 84 74 83 90 97 100 102 108 124 147 164 170 171 173 177 188 199 198 202 210 222 235 245 245 236 218 196 177 164 158 158 161 166 166 167 175 187 200 240 260 232 207 187 167 146 119 102 92 90 90 88 85 82 74 58 42 26 12 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 0
123 111 104 96 105 123 124 119 117 119 126 143 157 166 168 166 167 178 185 186 189 192 194 193 192 192 188 174 155 138 129 129 139 155 170 180 183 188 201 223 246 270 261 233 196 162 132 99 84 75 74 73 72 70 67 57 45 27 11 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 0 0
131 124 123 115 111 123 128 129 128 131 134 136 139 156 157 152 151 156 160 161 159 154 144 134 130 133 131 117 102 91 85 86 97 115 145 175 193 206 224 245 245 235 225 204 170 134 105 76 53 49 47 47 46 41 33 27 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
133 132 139 135 126 125 122 119 119 124 125 117 99 108 109 106 105 107 110 111 107 99 89 82 81 84 82 69 59 52 46 44 49 62 93 128 155 174 189 200 189 168 152 135 112 92 80 62 39 30 24 20 17 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
129 134 145 147 138 124 111 108 106 106 104 94 78 68 63 60 57 55 57 55 55 53 50 50 52 52 49 41 34 28 22 18 17 21 35 55 76 93 102 106 102 93 79 70 60 56 58 49 38 26 15 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
141 147 152 148 135 118 102 98 91 84 76 62 45 32 25 24 24 24 26 24 26 27 28 29 30 30 28 23 18 14 10 7 5 3 5 10 19 26 29 29 27 26 23 22 23 24 28 30 29 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0
185 178 163 143 124 110 94 83 69 56 45 34 25 15 9 9 11 12 15 17 19 22 23 23 22 22 19 15 11 6 4 2 1 0 0 0 1 3 3 2 1 1 2 3 4 5 6 9 11 8 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 2 0 0 0 0 0
247 218 181 149 129 123 100 81 63 48 36 26 16 7 1 1 3 7 12 17 21 25 26 26 24 21 17 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 4 1 0 0 0 0
300 253 207 172 153 145 126 101 77 58 46 36 25 14 6 1 1 3 6 10 13 17 19 18 16 13 10 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0
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