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 7 8 9 9 9 8 9 11 10 9 8 8 8 8 9 9 10 10 9 9 8 9 9 9 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 8 7 6 6 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 8 nan
nan 6 7 8 9 8 9 10 12 10 10 9 9 9 8 8 9 10 10 10 10 10 10 9 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 9 10 10 10 10 9 9 8 8 8 9 9 8 7 7 6 6 7 7 7 7 8 9 10 11 11 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 8 8 9 9 9 9 9 9 10 10 8 7 nan
nan 8 8 9 9 10 11 13 13 13 12 11 11 10 9 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 10 10 10 10 9 10 10 9 8 8 9 10 10 10 9 9 8 8 7 7 8 8 8 7 7 6 6 6 7 7 7 8 9 10 11 12 11 10 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 10 9 9 8 9 9 8 7 7 7 8 8 8 7 7 7 8 9 9 9 8 9 9 9 9 9 8 7 6 nan
nan 12 11 11 11 11 12 13 14 14 14 13 12 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 10 10 10 9 8 9 10 10 9 9 8 7 7 7 7 7 7 8 8 8 7 6 6 7 7 8 8 9 9 11 12 12 11 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 9 10 10 9 8 8 9 9 9 8 7 6 6 nan
nan 13 12 11 11 12 12 12 13 14 14 13 13 12 11 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 10 10 9 8 8 7 7 7 8 8 8 8 9 9 8 7 7 7 8 8 8 8 9 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 9 10 11 11 10 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 8 8 8 8 9 9 10 10 10 9 7 7 8 9 10 9 9 9 9 9 9 8 7 7 7 nan
nan 10 10 10 11 11 12 11 11 11 11 11 11 11 10 9 8 7 6 6 6 6 7 7 6 6 6 7 7 6 7 7 8 9 9 9 9 9 10 9 10 11 10 9 8 8 8 8 9 9 9 9 9 9 10 9 9 8 7 7 7 7 8 8 9 9 9 9 10 11 11 10 9 9 8 9 9 9 9 8 8 8 9 10 10 9 8 8 8 9 9 10 10 10 9 8 8 9 9 10 10 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 9 7 7 8 9 9 10 9 9 9 9 9 9 9 8 8 nan
nan 9 9 10 10 11 10 10 9 9 9 9 9 8 8 8 7 6 6 5 5 6 6 6 6 7 8 8 8 8 8 8 9 10 10 9 9 9 10 10 11 11 11 9 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 10 11 11 11 10 10 9 9 10 10 10 9 8 7 8 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 8 9 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 nan
nan 9 9 9 9 9 8 8 7 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 9 10 10 10 10 9 10 10 10 9 8 8 9 9 10 11 11 9 9 8 9 9 9 9 9 9 9 9 9 10 9 8 8 8 8 7 7 8 8 8 9 9 10 11 12 12 12 11 11 10 10 10 10 9 8 7 7 7 8 9 10 9 8 7 8 9 9 9 10 9 8 7 8 8 8 9 10 10 9 8 8 8 8 8 8 7 7 7 7 7 8 9 9 8 8 8 8 8 9 9 10 9 9 9 8 8 8 8 nan
nan 9 9 9 8 8 7 6 6 7 7 7 7 7 6 6 7 7 7 6 6 7 7 7 7 7 8 9 9 9 9 8 8 9 8 8 7 8 8 8 9 9 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 10 11 12 12 13 12 12 11 10 9 9 9 10 9 8 7 7 8 10 10 9 8 8 8 8 9 9 10 10 9 9 9 8 8 8 9 10 10 9 9 9 9 9 8 7 7 6 6 6 7 8 9 8 8 8 7 7 8 10 10 9 8 7 7 7 8 8 nan
nan 9 9 8 8 7 6 6 6 6 7 7 6 6 6 6 7 8 8 7 7 7 7 6 5 6 6 7 7 7 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 9 10 11 12 12 12 11 10 9 9 9 9 9 9 9 7 7 8 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 9 8 8 9 9 9 9 10 10 9 8 8 7 6 5 5 7 8 8 8 8 7 7 7 8 10 9 8 7 7 7 7 8 8 nan
nan 9 9 8 8 7 6 6 6 6 6 6 6 6 6 8 9 10 9 8 8 8 7 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 8 9 9 9 8 8 7 7 8 9 9 10 11 12 12 11 10 9 8 8 8 9 9 8 8 8 9 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 8 7 7 6 4 4 5 7 8 8 8 7 7 7 9 9 8 7 7 7 7 7 8 8 nan
nan 9 9 9 8 8 7 7 6 6 6 6 7 7 8 9 10 10 9 8 8 7 7 7 8 8 7 6 5 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 10 11 10 9 8 6 6 7 8 9 10 10 11 11 11 10 9 8 7 7 8 8 9 9 9 10 10 11 10 10 9 9 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 9 10 11 10 9 8 7 6 4 4 4 6 7 8 8 7 7 8 9 8 8 8 8 7 7 8 8 8 nan
nan 8 9 9 9 8 8 7 7 6 6 7 7 8 9 10 10 8 7 6 6 6 6 6 6 6 5 5 5 6 7 8 8 8 7 8 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 8 10 11 11 10 8 7 6 7 7 8 9 10 11 11 10 9 9 8 7 7 7 8 8 9 9 10 10 11 10 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 9 10 11 11 10 9 7 6 5 4 4 5 6 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 nan
nan 8 9 9 9 9 8 7 7 6 6 7 8 9 10 9 8 6 4 4 5 5 5 5 5 5 5 5 6 7 7 8 7 7 7 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 9 10 11 10 8 7 6 6 7 7 8 10 10 10 10 10 9 8 8 7 7 7 7 7 8 9 10 11 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 9 10 11 11 11 9 7 6 5 5 6 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 nan
nan 9 10 10 9 9 8 8 7 7 7 8 9 9 8 7 4 2 2 4 6 6 6 6 6 5 5 6 6 7 7 7 6 6 6 7 6 6 6 6 6 6 6 7 8 8 8 8 8 9 10 10 9 8 7 7 8 9 9 9 9 10 10 9 7 7 6 6 6 8 9 10 10 10 10 10 9 8 8 7 7 7 6 7 9 10 10 10 10 9 9 9 8 8 9 9 8 8 7 7 8 9 10 10 9 8 8 8 9 11 12 11 10 8 7 6 6 7 9 10 11 11 11 10 9 9 9 9 10 10 10 10 9 9 nan
nan 10 10 10 9 9 8 8 7 7 8 8 7 6 5 4 2 1 4 7 8 8 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 9 10 9 8 7 7 6 7 7 9 9 10 11 11 11 10 9 8 8 7 7 7 8 9 10 10 10 10 9 9 9 8 8 8 8 8 7 6 6 7 8 9 10 9 9 7 6 8 10 11 10 9 8 7 7 7 8 9 10 11 11 11 10 10 9 9 9 10 10 10 11 10 9 nan
nan 11 11 10 9 9 8 8 8 8 7 6 6 5 4 4 4 6 10 12 11 9 7 5 5 5 6 6 6 5 5 6 6 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 9 9 8 7 8 8 8 8 8 8 9 10 11 11 11 10 9 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 7 7 6 6 7 7 8 8 8 9 9 9 9 7 5 6 8 9 9 9 8 7 7 8 8 9 10 11 11 11 10 9 9 8 9 10 10 10 11 10 10 nan
nan 11 11 11 10 9 9 9 8 8 7 7 7 6 6 7 9 13 15 15 12 9 7 5 5 6 6 6 6 5 5 6 6 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 9 8 7 7 8 9 10 9 9 8 9 9 10 11 12 11 10 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 7 7 7 7 8 9 9 9 9 10 10 10 9 7 6 6 6 7 8 8 7 7 7 7 8 9 10 11 11 10 9 9 8 8 9 9 10 10 10 10 10 nan
nan 10 11 11 10 9 8 8 8 9 9 9 9 8 8 9 13 15 16 15 13 10 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 10 12 12 11 10 10 9 9 9 9 9 10 10 10 9 8 7 7 8 9 9 9 9 9 9 9 9 10 10 11 11 11 9 7 6 6 7 7 7 6 6 7 7 8 9 10 11 10 9 8 8 8 8 8 9 9 10 10 10 9 nan
nan 10 10 10 9 8 8 8 8 9 10 10 9 8 8 10 13 14 15 14 12 11 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 7 7 8 8 8 8 7 7 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 11 12 11 10 10 10 9 9 8 9 9 10 9 8 7 6 7 7 8 9 9 9 8 8 8 9 9 10 11 12 12 10 9 8 7 7 7 6 6 6 6 6 7 7 9 10 9 9 8 8 8 8 9 9 10 10 10 9 8 nan
nan 9 9 9 8 8 8 8 9 9 9 8 8 8 9 10 12 13 13 13 11 11 11 11 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 5 5 4 5 5 5 6 6 6 7 7 8 8 8 8 8 9 9 10 10 9 9 9 9 10 11 10 10 10 10 9 8 8 8 9 9 9 8 6 6 5 6 6 7 7 8 8 8 8 8 9 9 10 11 11 10 9 9 8 8 7 7 7 6 6 6 7 7 7 8 8 9 9 9 9 9 9 10 9 9 9 8 7 nan
nan 9 9 9 9 9 9 9 9 9 9 7 7 8 9 10 11 12 13 12 11 10 11 11 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 6 6 6 7 7 8 8 8 8 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 8 7 8 8 9 9 8 7 5 5 5 5 5 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 7 8 9 10 10 10 9 9 8 8 7 6 6 nan
nan 10 10 10 10 9 9 9 10 10 9 7 8 9 10 11 11 12 13 12 10 10 11 12 11 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 8 8 7 7 7 7 8 8 7 7 7 7 6 6 5 5 5 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 9 8 8 9 9 9 10 9 9 8 7 7 7 8 8 9 9 7 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 7 5 5 5 7 9 10 10 10 9 8 7 7 7 7 7 nan
nan 10 10 10 10 9 9 9 9 10 9 8 9 9 10 11 11 12 13 12 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 11 10 10 9 9 8 8 7 6 6 7 7 8 7 7 7 7 6 5 5 5 6 6 7 7 7 7 7 8 8 9 9 9 9 10 11 10 9 8 8 8 9 10 10 9 9 9 8 8 8 7 8 9 10 10 8 7 6 6 6 5 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 6 5 5 6 7 9 10 10 9 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 10 10 10 9 9 8 8 7 7 7 7 7 7 7 6 6 6 5 5 5 5 6 6 7 7 7 6 7 8 9 9 9 9 10 10 11 11 10 9 9 9 10 11 10 10 10 9 9 9 8 8 8 10 12 12 10 8 7 7 6 6 5 6 6 6 6 7 7 8 8 7 7 6 7 7 7 7 8 8 9 9 9 9 8 6 5 5 6 7 8 9 9 9 8 9 9 9 8 8 nan
nan 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 10 10 10 11 11 12 11 10 10 11 10 9 9 9 8 8 9 9 9 8 8 8 7 7 7 7 8 8 8 8 7 6 6 5 5 6 6 5 5 5 5 5 5 5 5 6 7 9 10 9 9 9 10 10 10 11 11 10 9 10 10 11 11 11 10 9 9 9 9 9 9 10 11 13 12 10 8 7 7 6 6 6 6 6 6 7 7 7 8 8 7 7 7 6 6 6 7 7 8 8 9 9 8 7 6 6 6 7 8 8 8 7 7 7 8 8 7 7 nan
nan 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 11 10 9 7 6 5 5 6 7 6 6 6 6 5 5 5 6 7 8 8 7 6 5 5 5 6 7 7 6 5 4 4 4 3 3 3 5 8 9 10 9 9 9 9 9 10 10 11 10 9 9 9 10 11 11 10 9 9 9 9 9 9 8 9 10 10 9 8 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 7 6 5 5 6 7 7 8 8 9 8 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 10 10 9 8 8 9 10 11 10 9 8 6 5 5 5 6 5 5 4 4 4 4 5 6 7 7 7 6 6 5 5 5 5 6 7 7 5 5 5 4 3 2 3 6 9 10 10 9 9 8 9 9 9 9 10 10 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 9 9 8 7 6 6 8 9 9 10 10 10 9 8 8 7 7 7 nan
nan 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 9 9 10 11 10 9 8 8 7 8 8 7 7 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 7 8 7 7 7 6 6 5 6 8 9 10 10 9 8 8 8 8 8 8 8 9 8 8 8 8 8 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 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 9 10 11 12 12 11 9 9 9 9 8 8 nan
nan 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 9 10 11 11 10 10 10 9 10 10 11 10 9 8 8 8 8 7 7 6 6 6 7 8 7 6 6 7 8 9 9 9 9 9 8 8 8 8 8 9 10 10 9 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 7 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 10 9 9 9 9 9 9 8 7 7 7 8 7 7 8 9 10 11 12 11 9 8 9 10 10 10 9 nan
nan 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 9 10 12 12 11 10 9 9 9 10 11 12 13 12 11 11 10 9 8 7 7 7 8 9 11 10 10 9 10 10 10 11 11 11 11 11 10 8 7 7 8 9 10 9 9 8 8 7 7 8 8 8 8 8 7 7 7 8 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 10 10 9 8 7 7 7 7 7 7 8 9 10 10 10 9 8 8 8 9 10 10 9 nan
nan 9 10 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 11 13 13 11 10 9 9 9 9 10 12 12 12 11 10 10 10 9 8 8 7 7 9 12 13 13 12 11 11 11 11 11 11 11 11 11 9 7 6 6 6 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 9 9 9 9 9 9 10 9 8 7 7 8 8 8 8 8 8 9 9 8 7 8 8 8 9 9 9 9 nan
nan 10 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 11 11 10 10 10 10 11 12 13 13 12 10 9 9 8 9 9 10 10 10 10 9 9 9 9 8 8 7 7 9 11 12 13 12 11 10 10 10 10 10 10 11 11 9 7 5 4 4 6 8 9 9 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 8 7 8 8 8 9 8 7 7 7 7 8 7 7 6 6 6 7 7 9 10 10 10 10 9 9 9 9 8 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 11 nan
nan 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 11 11 12 12 12 12 12 11 10 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 8 8 9 10 11 11 10 10 10 9 9 8 9 9 9 9 8 6 4 4 5 7 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 7 7 8 8 9 8 7 7 7 8 8 8 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 9 10 11 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 11 11 11 11 12 12 12 12 11 10 9 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 5 4 5 6 7 7 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 7 7 8 8 9 9 8 8 7 8 8 8 8 7 7 7 8 8 9 10 10 10 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 10 nan
nan 9 9 9 10 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 9 9 10 10 10 10 11 12 12 12 12 12 10 9 9 8 8 9 9 10 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 6 4 4 4 5 6 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 10 10 9 8 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 nan
nan 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 12 13 13 13 13 12 11 10 10 10 11 10 10 9 9 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 8 7 7 7 7 6 5 4 5 5 6 6 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 8 9 9 8 8 8 9 8 7 7 8 8 8 9 9 9 9 8 7 7 6 7 8 8 9 nan
nan 9 9 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 12 12 13 13 13 12 11 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 8 7 6 7 8 8 7 7 6 7 7 7 6 6 6 6 6 6 6 6 7 8 8 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 nan
nan 9 9 9 10 10 10 9 8 8 7 7 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 6 7 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 8 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 7 7 7 8 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 8 nan
nan 10 10 9 9 9 9 8 8 7 7 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 8 7 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 7 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 7 7 8 10 10 10 10 10 9 9 8 8 7 6 6 7 9 10 10 10 11 11 10 10 9 9 9 10 9 9 9 8 8 7 7 nan
nan 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 9 9 10 9 8 7 6 6 6 5 6 8 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 8 7 6 5 6 7 8 8 9 9 9 8 8 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 7 8 9 10 10 9 9 9 8 7 7 7 6 5 6 7 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 nan
nan 9 9 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 7 8 8 8 7 7 6 6 6 5 5 6 8 8 9 8 7 6 6 6 7 7 7 7 7 8 8 8 8 7 6 6 6 6 7 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 6 7 9 9 9 8 8 7 7 8 8 9 10 10 9 8 8 8 8 8 8 8 nan
nan 9 8 8 8 8 8 7 7 7 8 8 8 8 7 6 6 5 5 5 6 7 8 9 9 9 8 7 7 7 7 6 6 6 6 7 6 6 6 5 5 5 6 6 7 7 7 7 6 6 6 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 4 5 7 9 10 10 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 6 7 8 8 8 10 11 11 9 8 7 7 7 7 7 8 9 9 8 8 8 8 8 9 9 8 nan
nan 8 8 8 8 7 7 7 7 7 8 9 9 8 7 6 5 4 4 5 7 8 9 9 8 8 7 7 7 7 6 6 5 6 6 6 7 7 7 6 5 5 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 5 5 5 7 9 10 11 10 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 7 7 7 8 9 10 12 13 12 10 8 7 7 7 7 7 8 8 7 7 8 8 9 10 10 10 9 nan
nan 7 7 7 7 7 7 7 7 7 8 9 8 8 6 5 4 4 5 7 9 9 9 8 7 6 6 7 7 7 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 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 9 11 11 10 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 11 11 10 9 8 8 9 9 10 11 13 13 12 9 7 7 7 8 8 8 7 7 6 7 8 9 10 10 11 11 9 nan
nan 6 6 6 6 6 6 6 7 7 8 8 8 8 6 5 4 4 5 7 9 9 9 8 6 6 6 6 6 6 6 6 6 7 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 8 8 8 8 8 7 7 6 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 9 9 10 10 11 12 12 10 7 6 6 7 8 8 8 8 7 7 7 9 9 10 10 11 10 9 nan
nan 6 5 5 5 6 6 6 6 7 7 8 8 7 6 4 3 4 5 7 8 9 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 8 7 7 7 8 8 9 9 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 6 6 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 9 9 9 9 10 11 10 8 6 5 6 7 7 8 9 9 9 8 8 8 8 9 9 9 9 8 nan
nan 5 6 6 6 6 6 7 7 7 8 8 8 7 5 3 3 3 5 7 8 8 7 7 6 6 6 6 5 5 5 5 6 6 7 7 7 7 8 9 9 9 8 8 8 8 9 9 10 9 8 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 6 7 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 8 8 8 8 9 10 11 10 9 7 7 7 8 8 8 10 11 11 9 7 7 7 7 8 8 8 8 nan
nan 6 6 6 7 7 7 7 7 7 7 7 6 6 4 3 3 4 5 6 7 7 7 6 6 6 6 6 5 5 5 5 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 10 10 9 9 9 9 9 8 8 8 8 9 10 11 11 10 8 8 8 8 8 9 11 11 10 8 7 6 6 7 7 7 8 8 nan
nan 6 6 6 6 6 7 7 7 7 7 6 6 5 5 4 4 4 4 5 6 7 7 7 7 7 7 6 6 5 5 6 7 7 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 8 8 9 9 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 9 8 7 7 9 10 11 10 9 8 8 9 9 10 11 11 11 10 8 8 8 7 7 7 7 8 9 nan
nan 6 7 6 6 7 7 8 7 7 6 6 6 6 6 5 5 5 5 5 6 7 8 8 8 8 7 7 6 6 6 7 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 9 8 8 8 10 11 10 9 7 7 8 9 10 11 12 12 11 9 9 9 9 9 8 8 8 8 9 nan
nan 7 7 7 7 8 8 8 7 7 6 7 7 7 7 6 6 6 6 7 8 8 8 9 8 8 7 7 6 6 6 8 8 9 9 8 8 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 8 9 9 9 9 9 8 8 8 7 7 7 7 8 10 10 10 9 9 8 8 8 9 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 10 8 6 7 8 9 10 11 11 11 9 7 8 9 9 10 9 8 8 8 9 nan
nan 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 9 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 9 10 11 11 11 9 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 9 9 10 11 11 9 7 7 8 9 9 9 9 9 8 7 6 7 9 10 10 9 8 8 8 8 nan
nan 7 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 11 11 11 9 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 9 8 7 9 10 10 9 9 8 7 7 7 7 8 10 11 10 9 8 8 8 8 nan
nan 6 5 5 6 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 11 10 9 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 9 8 8 8 9 9 8 8 8 8 9 10 10 9 9 8 7 7 7 8 9 10 10 10 8 8 8 8 8 nan
nan 6 5 5 6 8 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 7 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 nan
nan 7 7 7 8 9 10 10 10 10 10 10 10 10 9 8 7 7 6 5 5 6 6 7 8 8 9 9 9 8 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 8 7 7 7 7 7 7 7 6 6 7 7 8 8 9 9 9 8 7 6 7 7 8 8 7 7 8 8 9 9 9 9 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 6 6 7 7 7 8 8 7 6 6 6 6 6 6 6 7 8 8 7 8 nan
nan 8 9 9 10 10 11 11 11 10 10 10 10 10 10 9 8 7 6 6 6 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 8 8 7 8 8 8 8 9 9 8 8 9 9 10 11 10 9 8 7 7 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 6 6 6 6 6 7 7 7 6 5 5 5 5 6 6 7 8 7 7 7 nan
nan 8 9 10 10 11 11 10 9 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 8 7 6 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 10 9 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 7 7 6 5 6 6 6 7 7 7 6 6 5 5 5 6 6 7 8 8 7 7 7 nan
nan 8 9 9 10 10 9 9 8 8 8 9 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 8 8 9 10 10 10 9 8 8 8 9 9 9 9 9 10 10 10 10 9 9 10 10 9 8 7 7 7 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 9 8 8 7 8 8 8 7 6 6 5 6 7 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 7 nan
nan 8 8 9 9 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 8 9 10 10 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 8 7 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 nan
nan 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 9 8 8 8 8 9 9 9 9 9 8 8 9 9 9 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 9 8 8 nan
nan 9 9 9 10 9 9 9 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 9 10 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 8 9 10 11 10 9 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 nan
nan 9 9 10 10 10 9 9 8 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 7 6 7 7 7 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 9 9 9 10 10 11 11 10 8 7 7 8 9 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 5 5 5 6 5 5 6 7 8 9 8 7 5 4 5 6 6 7 8 8 8 8 8 8 8 7 8 8 9 9 10 nan
nan 8 8 9 10 9 9 8 8 8 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 8 7 7 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 8 8 8 8 8 8 8 7 6 6 5 6 6 6 6 7 7 8 7 6 4 3 3 5 6 7 7 7 8 8 7 7 8 8 8 8 8 9 9 10 nan
nan 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 8 8 8 9 9 9 9 9 10 10 10 9 8 7 7 9 11 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 6 6 7 9 10 11 9 6 4 3 4 5 6 6 7 7 7 7 8 7 7 7 7 8 8 8 9 9 10 nan
nan 7 7 7 7 8 8 8 9 8 8 8 8 7 7 7 7 7 6 7 7 7 8 8 8 9 9 9 9 9 10 10 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 7 7 8 10 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 7 7 6 5 5 7 9 11 10 8 5 4 5 5 6 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 9 10 nan
nan 7 7 7 8 8 9 9 8 8 8 8 7 7 7 7 7 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 10 11 12 11 10 9 8 8 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 7 6 5 5 6 7 8 6 5 4 5 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 nan
nan 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 9 9 9 10 10 10 9 10 10 10 10 11 11 12 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 9 9 10 11 12 11 11 10 10 9 9 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 6 5 5 5 4 4 5 6 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 nan
nan 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 12 11 11 10 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 9 10 10 11 12 12 11 11 10 10 10 11 12 13 13 13 12 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 8 9 9 9 8 7 6 6 5 6 6 6 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 nan
nan 6 6 6 6 6 6 6 6 7 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 9 10 11 12 12 11 11 10 10 10 10 12 13 14 14 13 13 12 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 8 9 10 10 10 10 9 9 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 nan
nan 5 5 5 5 6 6 6 6 7 7 8 9 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 9 10 12 12 11 11 11 10 9 9 10 11 12 12 13 12 12 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 nan
nan 4 5 5 6 6 6 7 7 8 8 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 8 8 8 8 7 7 7 7 8 8 9 9 9 9 10 10 10 9 8 8 9 11 12 11 10 10 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 10 11 12 13 13 13 13 13 12 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 nan
nan 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 9 8 8 8 10 11 11 9 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 12 13 13 13 12 12 10 9 8 8 8 8 9 8 8 8 9 9 9 9 9 9 8 8 9 9 10 9 nan
nan 6 6 7 7 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 9 8 8 8 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 7 7 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 nan
nan 6 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 10 10 10 9 9 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 8 9 10 11 10 10 10 10 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 11 11 11 11 12 12 11 11 11 10 10 9 9 9 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 nan
nan 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 8 9 11 12 13 13 12 12 12 12 12 12 11 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 9 9 9 10 10 10 10 10 11 11 12 13 13 13 12 12 11 10 9 8 7 9 10 10 10 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 nan
nan 6 7 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 10 9 8 7 7 7 9 10 11 12 13 12 12 11 11 11 11 10 10 9 9 9 8 8 8 8 8 7 8 8 8 8 9 9 10 10 10 9 8 8 9 9 10 10 10 10 10 10 11 11 11 12 13 14 14 14 14 12 11 10 9 7 6 7 9 10 9 9 8 8 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 nan
nan 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 10 10 11 11 12 11 11 11 10 9 8 7 8 9 11 12 12 11 10 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 10 10 9 9 10 10 11 11 11 11 11 11 12 13 13 14 14 15 15 14 12 11 10 9 8 7 7 8 9 9 8 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 7 8 9 9 9 9 9 8 8 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 11 12 12 11 10 10 9 8 8 8 10 12 13 13 12 10 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 10 11 11 11 12 13 14 15 16 16 16 16 14 12 11 10 10 9 8 8 9 9 8 8 7 7 7 7 7 8 9 9 9 10 10 10 10 10 10 10 10 11 10 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
505 685 933 1126 1220 1262 1312 1357 1358 1355 1333 1319 1319 1302 1246 1195 1206 1256 1331 1421 1502 1551 1552 1496 1389 1260 1157 1027 877 736 633 573 519 462 400 364 319 284 270 243 215 205 226 241 231 200 165 139 132 92 63 46 36 34 42 54 54 37 46 52 66 64 55 53 55 62 72 75 81 88 95 106 116 117 112 105 93 88 90 101 121 147 169 185 199 203 197 184 166 151 136 115 103 100 99 97 93 87 81 80 82 92 103 110 115 116 108 101 104 107 114 120 130 146 165 175 167 149 113 98 110 123 132 140 142 141 137 134 138 148 152 146 149 159 172
330 488 732 960 1112 1201 1265 1266 1207 1209 1198 1171 1123 1072 1049 1048 1069 1122 1162 1181 1165 1108 1021 928 851 774 702 632 572 527 491 445 387 323 265 217 168 128 102 79 69 64 53 36 27 24 25 29 24 12 15 20 29 40 46 48 59 72 84 94 114 109 88 76 70 63 70 81 92 101 109 116 118 109 98 85 78 82 92 108 138 165 178 183 187 189 184 170 155 151 148 126 110 99 93 90 91 93 95 98 105 110 113 117 122 129 127 120 127 134 140 145 154 172 189 197 183 169 150 143 147 145 144 144 140 132 121 115 120 130 130 119 121 118 148
212 345 573 826 1010 1135 1251 1242 1244 1275 1261 1196 1081 933 799 736 808 897 926 927 873 770 660 572 559 535 498 461 425 389 343 267 214 152 105 64 28 6 1 1 5 9 5 1 0 0 1 3 2 5 8 12 22 39 59 78 99 105 113 120 125 123 114 104 92 81 84 93 103 111 116 119 117 110 87 68 64 76 92 110 142 160 169 177 185 185 173 153 138 136 139 130 117 104 95 92 94 97 97 98 99 97 94 95 97 92 89 100 112 122 132 141 150 158 161 153 137 127 121 118 122 132 137 125 104 89 80 76 79 85 85 84 105 111 140
198 345 573 820 956 1029 1160 1194 1238 1276 1297 1250 1126 965 820 724 667 690 670 623 545 507 535 509 480 442 365 298 228 181 163 118 98 57 27 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 25 42 53 64 76 87 93 97 99 96 90 82 75 75 79 86 97 107 111 105 90 67 56 60 77 101 128 153 163 168 173 177 170 149 126 111 105 109 111 106 101 93 80 71 73 76 79 75 67 59 54 48 41 49 62 74 85 94 101 107 112 112 101 89 81 79 85 103 122 128 107 75 52 45 45 44 52 64 67 87 96 114
246 372 530 685 767 838 985 1092 1172 1198 1194 1165 1103 1020 939 861 703 565 520 492 458 432 414 380 359 318 233 182 125 64 39 52 49 30 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 15 17 20 39 59 70 77 74 66 67 62 53 51 51 56 68 85 99 96 73 60 63 83 117 157 188 191 169 155 142 136 129 116 98 81 66 62 65 69 73 68 46 32 35 41 42 38 32 28 26 24 28 33 39 48 63 76 79 80 85 87 82 73 62 51 46 68 78 90 74 50 39 45 49 38 43 50 52 60 77 106
212 250 311 359 389 434 539 717 893 928 929 955 950 920 905 868 676 632 593 555 519 482 431 354 272 214 153 103 65 37 18 7 16 16 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 21 36 62 86 103 122 118 88 77 63 51 45 41 42 53 71 91 88 71 73 95 134 182 223 237 199 153 125 110 102 94 85 77 67 47 32 29 31 33 30 15 8 12 14 13 16 19 16 11 8 9 14 19 25 41 63 71 72 69 65 59 46 31 20 9 14 32 49 50 51 59 67 59 49 50 65 68 61 65 83
130 142 178 214 248 292 357 432 492 582 657 734 767 779 794 770 701 657 611 564 521 479 427 351 242 184 142 80 36 16 5 2 8 21 14 4 0 0 0 1 1 5 5 2 0 0 0 0 0 0 0 2 7 18 35 61 93 116 133 151 187 190 137 104 85 70 64 58 55 58 67 74 69 70 93 130 168 196 210 200 147 124 106 92 81 73 66 63 67 57 38 29 22 14 9 6 8 3 2 2 3 3 1 0 0 1 1 2 4 15 37 48 48 42 36 31 24 15 5 2 7 14 19 23 30 41 50 46 47 48 55 57 57 58 55
171 206 250 294 338 383 433 489 544 596 607 622 644 671 697 707 706 688 644 576 506 440 374 302 212 151 116 69 35 19 9 1 10 25 18 6 1 0 2 9 13 19 21 10 1 0 0 1 1 0 0 3 12 32 59 84 112 118 119 134 165 171 128 97 88 68 68 74 65 50 47 48 51 69 103 130 139 138 135 121 99 88 83 74 62 52 49 46 50 58 56 43 26 11 3 2 4 1 0 0 0 0 0 0 0 0 0 0 0 3 14 19 17 16 13 9 6 3 2 1 1 1 2 3 6 16 30 30 31 30 30 32 34 35 31
271 304 340 373 416 466 517 566 596 574 573 586 602 621 644 661 678 692 663 579 471 357 265 231 167 100 64 42 28 18 10 0 3 23 30 25 14 6 8 19 25 34 42 30 12 2 1 0 0 1 0 0 6 18 33 42 56 56 58 62 70 73 58 48 50 37 44 65 64 42 29 25 32 50 71 81 81 80 83 75 63 58 53 44 34 27 26 26 25 42 50 40 22 7 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 2 2 1 0 0 0 0 0 0 0 0 2 9 15 15 17 15 13 10 8 13 10
371 405 419 423 462 515 557 589 607 551 540 553 569 585 600 615 627 639 602 512 395 275 193 172 118 62 36 26 15 10 10 2 0 24 31 31 29 25 21 19 20 29 45 48 33 13 6 3 3 3 3 3 4 5 5 7 19 18 17 14 12 12 9 8 14 14 34 63 76 63 36 13 13 22 30 41 50 48 47 41 34 27 20 13 8 8 11 12 12 24 31 24 10 3 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 9 9 6 3 2 1 1 0
459 489 495 489 515 552 575 578 572 538 529 551 583 608 616 612 607 593 539 441 341 254 186 141 97 59 34 26 17 10 11 12 4 24 33 31 31 31 25 14 9 13 28 46 46 29 14 7 7 9 8 6 4 2 0 0 1 0 0 0 0 1 0 0 2 6 22 40 53 53 33 9 5 9 15 20 22 23 23 17 11 6 2 0 0 1 1 2 6 13 13 7 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 1 1 5 5 2 0 0 0 0 0
496 506 510 510 523 546 562 562 558 550 557 588 628 653 659 658 655 601 544 434 333 255 186 125 93 66 38 40 37 26 19 15 9 25 24 21 19 18 13 4 0 3 8 20 25 18 9 5 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 13 13 9 6 4 3 4 5 7 9 11 6 1 0 0 0 0 0 0 1 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 2 2 0 0 0 0 0 0
521 520 495 483 493 514 532 541 547 549 565 594 630 661 666 644 622 554 505 405 303 221 158 110 97 52 31 28 25 16 7 6 14 14 6 8 9 7 4 0 0 0 1 2 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 3 2 2 5 7 7 6 5 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
486 488 458 440 441 454 468 478 487 502 525 554 590 619 614 573 539 477 417 320 217 140 97 74 72 39 29 22 15 12 14 19 19 15 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 5 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
362 374 359 346 346 355 369 387 406 424 456 489 514 520 500 463 423 359 277 186 108 58 44 59 71 49 41 31 20 14 15 17 14 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
215 232 233 237 248 262 281 308 339 355 379 390 387 363 321 268 211 157 109 71 55 47 52 75 72 57 48 38 28 22 21 20 19 19 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
107 134 148 162 192 213 230 252 275 275 264 245 223 194 159 120 79 52 41 45 60 71 79 86 75 59 50 42 34 28 23 20 20 18 16 12 8 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
81 112 123 127 149 177 194 207 217 195 142 118 116 113 103 89 79 73 64 70 80 91 97 93 77 64 56 46 38 31 24 18 14 10 8 5 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
100 115 119 101 86 109 134 156 175 164 124 121 146 167 174 166 145 107 83 81 89 101 110 111 104 78 61 51 42 36 31 24 15 10 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
95 99 106 85 56 68 91 114 137 152 158 174 198 209 200 174 143 108 90 85 89 96 104 112 113 83 63 51 42 35 32 29 24 19 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
93 88 88 80 61 66 77 90 108 129 146 166 182 185 173 149 122 100 89 85 83 82 81 82 74 61 55 44 32 22 17 16 15 18 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
67 62 62 61 57 58 61 66 75 91 109 127 135 134 128 117 103 92 84 77 69 59 50 44 41 25 27 23 16 8 3 3 2 11 7 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
42 39 38 37 38 40 43 44 46 49 58 67 76 79 80 81 81 81 75 65 54 48 45 37 24 11 6 6 6 4 0 0 0 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
22 20 18 16 17 20 22 23 22 20 17 16 26 34 39 43 49 54 55 49 41 42 42 35 26 16 8 3 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
9 7 6 5 4 5 6 6 5 3 2 1 4 8 11 15 21 29 30 30 28 28 29 27 20 12 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
3 1 1 1 0 1 1 0 0 0 0 0 0 0 1 3 5 8 8 14 15 15 14 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 3 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
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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