Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 8 8 8 8 8 9 10 10 10 9 8 7 6 6 6 7 7 8 8 9 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 8 8 8 9 9 8 7 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 nan
nan 8 8 7 7 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 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 7 7 8 9 9 8 7 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 7 6 6 6 6 6 7 8 9 9 9 8 7 7 8 8 8 9 9 9 9 9 9 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 7 8 8 9 9 7 6 5 4 4 5 5 6 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 7 nan
nan 6 6 6 6 6 7 8 9 9 10 9 8 7 7 8 8 9 9 10 10 9 9 9 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 7 8 9 9 8 6 4 4 3 3 4 5 7 8 8 8 7 7 7 6 5 5 5 6 7 8 8 7 7 nan
nan 6 7 7 7 7 8 9 9 10 10 9 8 8 7 7 7 8 8 9 9 9 9 10 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 7 9 10 10 7 5 3 3 3 3 4 6 8 8 8 8 7 7 6 5 4 5 6 7 8 8 8 7 7 nan
nan 7 7 7 7 8 9 9 10 10 9 9 8 8 7 7 6 6 7 7 7 8 9 9 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 8 9 10 9 7 4 2 2 2 4 6 8 9 9 8 7 7 6 6 5 5 6 7 8 9 9 8 7 6 nan
nan 7 7 7 7 8 9 9 9 9 9 8 8 7 6 6 6 5 5 5 6 7 8 9 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 8 9 9 8 6 4 2 2 4 7 9 10 10 8 7 6 6 6 6 6 7 8 8 8 9 8 8 7 6 nan
nan 7 7 7 7 7 8 8 8 7 7 7 7 6 6 5 5 5 4 4 5 7 7 8 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 8 8 8 7 6 4 4 5 7 9 11 11 9 7 6 5 5 5 5 6 7 7 7 8 8 8 8 7 7 nan
nan 7 7 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 7 7 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 7 7 7 7 6 5 6 7 9 11 11 10 8 6 6 5 4 4 5 5 6 7 7 8 8 8 7 7 7 nan
nan 7 6 6 7 7 8 8 8 8 8 8 7 7 7 7 6 5 5 5 6 7 7 7 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 6 7 7 6 6 6 7 9 10 10 9 8 7 7 6 5 5 5 6 6 7 8 8 8 7 7 6 6 6 nan
nan 7 7 7 7 8 9 10 10 10 9 8 8 8 8 8 6 5 5 4 5 6 7 7 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 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 7 8 8 7 7 7 8 8 8 7 6 6 6 6 nan
nan 7 7 7 8 9 9 10 10 9 9 8 8 8 8 8 6 5 4 3 5 6 7 8 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 8 7 6 6 6 7 8 9 9 8 8 8 9 9 8 9 10 10 9 8 7 8 8 7 7 6 6 6 6 nan
nan 7 7 8 8 8 8 8 9 8 7 7 7 8 8 7 5 4 3 3 5 6 8 9 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 9 8 7 6 6 7 7 8 8 8 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 7 7 8 7 nan
nan 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 4 4 4 5 6 7 8 9 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 9 9 9 8 7 6 6 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 nan
nan 7 8 8 8 9 9 9 8 7 7 7 6 6 5 4 3 3 4 6 7 9 9 10 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 11 11 11 11 10 8 8 7 7 7 7 7 6 6 7 8 8 9 9 9 9 10 9 9 9 9 10 10 11 nan
nan 8 8 9 10 10 10 9 8 7 7 7 6 5 4 3 3 4 5 7 8 9 10 10 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 12 12 13 13 12 11 11 10 9 9 8 7 6 6 6 7 8 8 9 10 10 10 9 9 9 10 10 11 10 nan
nan 8 9 10 10 10 9 8 7 6 7 6 6 5 4 4 6 6 7 8 8 9 9 9 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 11 11 12 13 14 14 14 13 12 11 9 7 6 5 6 7 7 8 9 9 9 9 9 9 9 10 10 10 9 nan
nan 9 10 10 10 9 8 6 6 6 6 6 6 5 5 6 7 7 7 7 8 8 9 9 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 10 10 11 12 14 15 14 14 13 12 10 7 6 5 6 6 7 7 8 8 8 8 8 8 9 9 9 8 8 nan
nan 10 10 10 9 8 7 6 6 6 7 7 6 6 6 6 7 7 7 7 8 9 9 9 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 9 10 10 11 12 13 12 12 12 11 9 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 nan
nan 10 10 9 8 7 6 6 6 6 7 7 8 8 8 7 7 7 7 8 9 9 9 9 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 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 8 nan
nan 9 9 8 7 6 6 6 6 6 7 9 9 9 9 8 7 7 7 8 9 9 9 9 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 8 8 8 8 8 7 8 8 8 8 9 10 10 10 9 8 7 7 7 7 7 7 6 7 7 7 7 8 8 nan
nan 8 7 6 6 6 7 7 7 7 9 10 10 10 9 8 7 6 7 7 8 9 9 10 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 7 8 7 7 7 7 7 8 8 8 9 10 10 9 9 8 9 9 9 9 8 7 6 7 7 8 8 9 8 nan
nan 7 6 6 6 7 8 8 8 8 10 10 10 9 8 7 6 6 6 7 8 9 10 10 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 8 7 7 6 6 6 7 8 8 8 9 9 8 8 7 7 8 8 9 9 8 7 7 8 8 9 9 8 8 nan
nan 7 7 6 6 7 8 9 8 8 9 9 8 7 6 6 5 6 6 7 8 8 9 10 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 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 10 9 9 8 8 8 nan
nan 7 7 7 7 8 8 8 8 8 7 7 6 5 5 5 5 6 6 7 7 8 8 9 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 8 8 8 9 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 nan
nan 7 7 7 8 8 8 8 7 7 6 5 4 4 5 5 6 6 6 7 7 7 7 8 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 8 8 9 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 8 10 10 nan
nan 7 8 8 9 9 8 8 7 6 5 3 3 4 5 6 6 7 6 6 6 6 6 7 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 8 8 9 10 11 11 11 10 10 9 9 9 9 8 8 8 7 7 7 7 7 8 7 7 7 8 9 10 10 nan
nan 8 8 9 9 9 8 7 6 5 4 3 4 5 5 6 7 6 6 5 5 5 6 6 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 8 8 8 10 11 11 11 11 10 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 nan
nan 9 9 9 9 9 7 6 5 4 4 4 5 5 6 7 7 6 5 5 5 5 5 5 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 7 7 8 10 11 12 11 11 10 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 nan
nan 10 10 9 9 8 6 5 4 4 5 5 6 6 7 7 7 7 6 5 5 5 5 5 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 8 8 9 11 12 12 12 11 10 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 10 nan
nan 10 10 9 8 6 5 5 5 5 6 6 7 7 7 8 7 7 6 5 5 5 5 5 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 9 9 10 11 11 12 12 11 10 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 10 nan
nan 10 9 8 7 5 4 5 6 6 7 7 7 8 8 8 7 7 6 5 5 5 5 5 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 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 8 nan
nan 9 9 8 5 4 4 5 7 8 8 8 8 8 8 8 7 6 5 4 4 5 5 6 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 9 9 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 nan
nan 9 9 7 5 4 5 6 8 9 9 9 8 8 7 7 6 5 4 4 5 5 6 6 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 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 7 8 8 8 8 8 nan
nan 9 8 7 6 6 6 7 8 9 9 9 8 8 7 6 6 5 5 6 6 6 7 7 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 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 7 7 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 8 9 9 10 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 7 8 8 8 9 9 8 8 8 8 nan
nan 10 9 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 9 8 8 7 6 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 8 9 9 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 8 7 7 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 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 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 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 8 nan
nan 7 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 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 8 9 9 9 9 10 10 10 11 11 11 11 11 12 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 nan
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nan 10 11 11 10 10 9 9 9 9 9 10 10 11 12 13 13 12 11 10 9 8 8 8 9 11 11 12 12 11 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 14 14 14 14 15 15 17 18 18 17 16 14 11 10 9 9 9 8 9 9 10 11 12 11 10 8 7 7 8 9 9 9 9 9 8 8 8 9 10 12 14 14 13 12 10 9 8 8 7 6 5 5 6 7 7 6 6 6 6 6 6 7 7 8 9 10 11 11 11 13 13 13 10 8 6 6 7 9 10 10 11 11 12 12 11 10 10 9 7 5 5 5 7 8 10 11 11 11 11 10 9 9 9 9 9 9 10 11 12 12 12 12 12 12 13 12 12 11 10 10 10 10 12 13 nan
nan 10 10 10 10 10 9 9 9 9 9 10 10 11 12 13 13 12 11 9 8 7 8 9 10 12 12 12 11 11 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 11 11 11 11 10 10 9 10 10 11 11 12 12 13 14 15 15 15 16 16 17 18 19 18 17 15 13 10 8 7 8 8 9 9 9 9 10 10 10 10 9 7 6 5 6 7 8 9 9 9 9 9 8 8 9 10 12 14 14 13 11 9 9 8 8 7 5 5 6 7 7 7 6 6 6 7 7 7 8 8 9 10 11 12 13 14 13 11 9 7 7 8 10 11 12 12 12 12 11 11 11 11 10 9 7 6 6 7 8 10 11 12 11 11 10 10 8 8 8 9 9 9 10 12 13 13 13 13 13 13 13 13 12 11 10 10 10 11 12 13 nan
nan 10 10 9 10 10 10 9 9 9 9 9 10 11 12 13 13 12 10 9 8 7 8 10 11 12 12 12 11 10 9 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 11 12 12 13 15 15 16 16 17 17 18 18 18 18 16 14 11 9 8 7 7 8 9 9 9 9 9 9 10 10 10 9 8 6 5 5 5 6 8 9 9 10 9 8 7 8 9 10 12 13 13 12 11 10 9 8 7 5 5 6 7 8 8 7 7 7 7 8 8 8 9 9 10 11 13 14 14 12 11 10 9 10 11 12 12 13 13 13 12 12 12 12 12 11 10 9 10 11 11 12 12 12 10 9 9 8 7 7 7 8 9 10 10 11 13 13 13 13 13 14 14 13 12 12 11 10 10 10 10 11 12 nan
nan 9 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 11 10 9 8 8 9 11 12 13 12 11 10 9 9 9 9 9 8 9 10 10 10 9 8 8 8 9 9 10 10 10 10 9 9 9 10 10 11 12 13 14 15 16 17 17 18 18 19 18 17 16 13 11 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 8 7 6 6 6 7 8 9 10 9 8 7 7 8 9 10 11 12 12 12 11 10 9 7 5 5 6 7 8 8 8 8 8 8 8 9 9 9 10 11 12 14 15 13 12 11 11 12 12 12 12 12 13 13 12 12 13 13 13 12 11 11 12 13 15 15 15 14 11 9 7 6 5 5 6 8 9 10 11 11 12 13 14 14 13 13 14 13 13 12 11 11 10 10 9 10 11 12 nan
nan 9 10 11 11 10 10 10 10 10 11 11 12 12 12 12 11 10 9 8 7 9 11 12 13 13 12 10 10 10 9 9 8 8 8 9 11 11 11 9 7 7 8 8 9 9 9 10 10 10 10 10 11 11 12 13 14 15 16 18 19 19 19 19 18 16 14 11 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 7 7 7 8 9 10 10 8 7 7 7 8 9 10 11 11 11 11 10 10 8 6 6 6 7 8 9 9 9 9 9 9 9 9 10 10 11 13 14 14 13 12 12 12 13 13 13 13 12 12 12 12 12 13 13 12 11 11 11 12 14 15 16 17 17 15 12 9 7 7 7 8 9 10 11 11 11 12 13 13 13 13 13 13 13 13 11 10 10 10 9 9 10 11 12 nan
nan 9 10 12 12 12 12 12 11 11 11 12 12 11 11 11 10 9 7 6 7 8 10 11 12 12 11 10 10 10 9 9 8 8 8 10 11 11 10 8 7 7 8 8 9 9 10 10 10 11 11 11 12 12 13 14 16 17 18 20 20 20 18 17 14 12 10 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 10 9 8 7 7 8 9 10 10 10 10 11 11 11 10 8 7 7 7 8 9 9 10 9 9 9 9 9 10 10 11 12 13 13 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 11 10 10 10 12 13 15 17 19 20 20 18 15 12 11 11 11 11 11 10 10 11 11 12 12 11 12 13 13 13 12 11 10 10 10 9 9 10 10 11 nan
nan 8 9 10 12 12 13 13 13 12 12 11 11 10 10 9 8 7 6 6 6 7 8 10 11 11 11 10 10 9 9 8 7 8 9 10 10 10 9 8 8 8 9 9 10 10 10 11 11 11 12 13 13 14 15 17 18 18 19 19 18 16 14 12 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 7 7 7 8 8 9 9 9 8 7 7 8 9 10 10 10 10 10 11 12 11 10 9 8 8 8 9 10 10 10 9 9 9 9 10 10 11 11 11 11 11 12 13 13 12 12 12 13 14 14 13 12 11 11 11 10 10 10 11 13 14 16 17 19 20 19 18 16 14 13 12 11 10 10 10 10 10 11 12 12 12 12 13 13 13 12 11 11 10 10 9 8 8 9 10 nan
nan 7 8 9 11 12 13 13 13 12 12 11 11 11 10 9 7 6 6 6 6 7 9 10 12 12 12 10 10 9 8 8 7 8 9 10 10 9 8 8 8 9 10 10 10 11 11 11 12 12 13 14 15 16 18 18 18 17 16 14 13 11 9 8 8 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 9 9 8 8 8 8 9 10 11 11 10 10 11 11 12 12 11 10 9 9 9 9 10 10 9 9 8 9 9 10 10 10 10 9 10 12 13 14 13 12 11 12 13 13 13 13 12 11 11 10 10 11 12 13 14 14 15 15 15 15 14 14 13 12 11 11 10 10 9 9 9 10 11 13 13 13 13 13 13 13 12 12 11 10 8 7 6 5 7 11 nan
nan 9 9 10 10 11 11 11 12 12 12 12 12 11 10 9 8 8 7 8 8 10 11 13 13 13 12 11 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 13 14 15 17 18 18 18 16 13 11 8 7 7 6 7 7 7 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 9 8 8 9 9 9 10 11 11 12 11 11 11 12 12 12 11 10 10 9 9 9 9 9 9 8 8 9 10 10 9 9 8 9 11 14 16 16 14 12 12 12 13 12 11 11 11 11 11 11 11 12 12 12 13 13 12 12 11 11 10 10 10 9 10 9 9 9 9 9 10 11 12 12 12 13 13 13 13 14 13 12 10 8 6 4 3 4 9 15 nan
nan 10 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 9 9 10 11 12 13 14 14 13 12 10 9 9 8 8 8 8 8 8 8 9 9 10 11 11 11 11 12 12 12 13 13 14 15 16 17 17 17 14 12 9 6 5 5 6 6 7 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 9 9 10 10 11 12 12 12 12 12 12 13 13 13 11 10 9 8 7 7 8 8 8 9 9 10 10 9 8 8 7 9 13 17 18 16 13 13 13 13 11 10 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 8 9 9 9 9 9 10 11 11 11 12 12 14 15 16 16 15 12 8 5 3 2 4 10 17 21 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 9 10 12 13 14 14 14 14 12 11 9 9 9 9 8 7 7 7 8 8 9 10 11 12 12 12 12 12 13 13 13 14 14 16 17 16 15 13 10 8 6 6 6 6 7 7 8 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 12 12 13 14 14 14 13 11 11 10 8 7 7 7 7 8 9 11 11 10 9 7 7 8 11 15 16 16 13 11 11 10 9 8 8 9 10 9 10 10 11 11 11 11 11 11 11 10 9 9 8 7 6 6 7 7 8 8 9 9 10 11 11 11 11 12 15 17 18 18 16 13 9 5 2 2 5 11 19 25 25 nan
nan 10 10 10 11 12 12 11 11 10 9 8 8 7 7 7 7 8 10 12 13 14 15 14 13 12 10 9 8 9 9 9 8 7 7 8 9 10 11 12 12 13 13 13 13 13 13 14 14 15 16 16 14 12 10 8 7 7 7 8 8 8 9 10 10 10 10 9 9 9 10 10 10 9 8 8 8 8 9 9 9 9 9 8 7 7 8 8 8 9 8 8 8 8 9 8 9 10 10 10 10 11 11 12 12 13 13 14 14 15 15 13 12 12 12 12 11 10 9 7 7 8 10 11 9 8 7 7 10 12 13 13 11 8 7 6 6 6 8 11 11 11 10 10 11 11 11 11 11 11 11 10 9 9 9 8 7 5 5 6 7 8 8 9 11 11 12 11 11 13 15 18 21 21 18 13 8 5 3 3 6 12 19 25 27 25 nan
nan 8 8 9 10 11 12 12 11 10 8 7 6 6 6 7 8 9 11 12 14 15 15 15 13 12 10 8 8 9 9 9 8 8 8 8 9 11 12 12 13 13 14 14 13 13 14 15 15 16 15 14 12 10 8 7 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 7 8 8 9 9 9 9 8 8 7 7 8 9 9 9 8 9 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 13 14 14 12 12 13 14 16 15 14 11 7 6 8 9 9 7 6 7 9 11 12 12 11 9 6 5 4 4 7 12 15 15 13 12 12 13 12 12 12 11 11 10 10 10 10 10 9 6 4 4 5 7 8 10 11 11 12 12 12 13 16 19 22 24 21 14 8 4 2 4 8 13 19 24 28 27 24 nan
nan 7 7 7 9 10 11 11 11 9 8 6 6 6 7 8 9 10 12 13 14 15 15 14 13 11 9 8 7 8 8 8 8 8 9 9 10 12 12 13 14 14 14 13 13 14 16 16 16 15 13 12 10 9 8 8 8 8 9 9 10 10 11 10 10 9 9 8 8 8 8 9 9 9 8 8 7 7 8 8 8 9 9 8 8 8 7 8 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 13 15 16 16 14 11 8 7 8 7 5 4 5 8 11 12 12 12 11 10 8 7 6 7 12 17 17 16 15 14 15 14 13 13 12 11 10 9 9 9 9 9 6 3 2 3 6 9 10 11 12 12 12 12 13 15 18 20 21 20 14 8 4 2 4 9 14 19 24 28 29 28 24 nan
nan 8 8 8 9 10 11 11 11 10 8 7 7 8 9 10 11 11 12 13 14 14 14 14 13 10 8 7 7 7 7 7 8 8 9 10 11 12 13 14 15 14 13 13 14 16 17 17 16 14 12 10 9 8 8 8 8 9 9 9 10 10 11 11 11 10 10 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 11 12 12 11 11 11 10 10 11 13 14 15 14 13 11 10 8 7 5 2 3 6 9 12 12 12 12 12 11 10 9 9 11 15 17 16 16 15 15 15 14 13 12 11 10 9 8 7 6 4 2 -1 -1 0 4 8 11 12 12 13 13 14 14 15 18 19 18 15 10 5 2 1 4 10 15 19 23 27 29 28 25 20 nan
nan 8 9 9 10 11 11 11 11 10 8 8 8 9 10 11 11 12 12 13 13 13 14 14 13 11 9 8 7 6 6 6 7 8 9 10 11 13 14 14 13 12 12 13 15 16 17 16 14 13 11 9 9 8 8 8 9 9 9 9 10 10 10 11 10 10 10 9 9 9 9 10 9 9 8 8 8 8 8 9 9 9 8 8 7 7 8 8 9 9 9 8 8 8 9 9 10 11 11 11 10 10 10 10 11 12 11 11 10 10 10 9 10 11 12 13 13 12 12 11 8 6 4 4 6 9 12 13 13 13 13 12 11 11 11 11 13 15 15 15 16 16 15 14 12 11 11 10 9 7 4 2 0 -1 -2 -1 1 5 9 12 13 13 14 14 15 16 18 19 21 19 16 11 5 2 2 4 10 16 20 23 27 29 28 25 21 15 nan
nan 8 9 10 11 12 12 12 11 10 8 7 8 8 10 10 11 12 12 12 12 12 13 14 13 12 10 9 8 7 6 6 6 8 9 10 12 13 13 13 12 11 12 13 14 15 14 13 12 11 10 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 8 7 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 10 11 11 11 12 11 10 8 6 5 8 11 14 14 15 15 15 13 12 11 11 12 13 13 13 13 15 18 19 17 15 13 10 8 6 4 2 -0 -1 -1 0 3 6 10 13 15 15 15 15 16 17 19 20 21 23 23 21 17 12 8 7 7 11 16 20 24 27 29 29 25 21 17 13 nan
nan 9 10 11 11 12 13 13 12 10 8 8 8 8 9 10 10 11 12 11 11 11 13 14 14 13 12 10 9 7 6 5 6 7 8 10 12 13 13 13 12 12 12 13 13 13 12 11 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 8 8 8 8 7 7 7 9 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 10 11 11 11 12 11 10 8 6 8 12 14 15 16 17 17 15 13 11 11 12 13 13 12 12 13 16 20 21 19 16 11 7 3 1 -1 -1 -1 1 4 8 12 16 18 18 18 17 18 19 19 20 21 22 22 22 21 19 16 13 10 10 11 15 20 24 27 29 28 25 21 16 13 12 nan
nan 10 10 11 12 12 13 12 11 10 9 9 9 9 8 8 10 11 11 11 11 11 13 15 15 14 13 11 9 8 6 5 5 6 8 10 12 13 13 13 13 13 13 13 12 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 10 11 10 9 8 8 9 9 9 8 7 6 8 9 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 9 9 11 13 14 15 17 18 16 14 11 11 13 14 14 14 12 12 13 16 19 19 18 15 8 3 1 1 2 5 7 10 14 18 21 21 21 20 20 21 22 22 21 21 20 19 18 16 15 13 11 9 8 10 13 19 23 26 28 28 24 20 16 13 12 12 nan
nan 10 10 11 12 12 12 12 11 10 10 10 10 9 8 8 9 10 11 11 11 11 12 14 15 15 13 11 9 8 6 6 5 6 8 10 12 13 13 14 14 14 13 13 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 9 9 10 11 10 8 8 8 10 10 11 9 7 6 7 8 10 11 10 10 9 9 10 10 10 10 9 9 9 9 10 10 10 11 11 11 10 10 11 12 12 13 14 15 15 13 11 10 13 16 17 16 14 13 13 14 17 18 19 19 14 8 6 7 9 13 15 17 20 23 25 24 23 21 21 22 22 21 19 17 15 13 12 11 10 10 9 7 6 9 13 18 22 24 26 26 23 19 16 13 13 13 12 nan
nan 9 9 10 11 12 12 11 11 10 10 10 10 9 9 9 10 10 10 10 11 11 11 13 14 14 14 12 10 8 7 7 7 8 10 12 13 13 13 14 14 14 14 13 12 11 10 9 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 11 11 10 8 8 8 9 11 11 10 7 6 7 8 10 11 10 10 10 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 11 10 12 16 18 18 16 14 14 15 17 19 21 22 21 17 13 13 15 17 20 21 23 24 24 23 20 18 16 17 17 17 15 12 10 9 7 7 7 9 10 11 12 13 16 19 21 23 23 23 21 18 15 13 12 12 12 12 nan
nan 8 9 10 11 11 11 11 10 9 9 9 9 9 9 10 10 9 9 10 11 11 11 11 12 13 14 13 11 10 9 9 10 11 13 13 13 13 13 13 14 14 14 13 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 9 10 11 11 10 9 8 9 10 10 10 9 7 7 8 9 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 11 11 12 14 16 17 16 14 13 14 16 18 20 21 20 18 16 16 16 17 18 19 20 20 20 18 15 13 11 12 14 15 15 12 10 9 8 9 10 11 13 14 15 17 19 20 21 21 20 19 18 16 14 13 12 12 12 12 11 nan
nan 9 10 11 11 11 10 10 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 12 13 13 12 11 11 11 12 13 12 12 12 12 13 14 14 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 9 9 10 10 11 11 12 12 12 12 11 10 10 9 9 9 8 8 8 8 9 11 11 11 10 9 10 10 10 9 8 8 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 11 11 12 12 12 12 13 14 14 13 12 11 12 14 16 16 16 15 13 13 13 14 14 15 15 16 15 14 13 12 12 13 16 18 19 18 17 15 15 14 14 15 16 17 16 16 16 17 18 18 18 17 16 15 14 13 12 12 12 11 11 11 nan
nan 11 11 11 11 10 10 9 9 9 8 7 7 7 8 8 9 9 10 10 11 11 11 11 11 11 12 12 12 13 13 14 13 13 12 12 12 13 14 14 14 14 13 12 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 11 10 10 9 9 9 8 8 9 9 10 11 11 10 10 10 11 10 9 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 9 9 9 10 11 11 12 12 12 12 12 12 11 10 10 11 11 12 12 11 11 11 10 10 11 12 12 13 13 13 12 13 15 17 20 21 21 20 19 18 18 17 16 16 17 16 16 15 15 15 15 16 16 16 15 14 14 13 12 12 11 11 11 10 10 nan
nan 11 11 11 11 10 10 10 10 9 8 8 7 7 7 8 9 9 10 11 11 12 12 12 11 11 11 11 12 13 14 14 14 14 13 14 14 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 8 8 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 8 7 6 6 7 9 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 11 13 13 14 13 13 14 16 17 18 18 17 17 16 15 14 13 14 15 15 14 14 14 14 15 15 15 15 15 14 14 13 12 12 11 10 10 10 9 9 nan
nan 11 11 11 11 11 11 10 10 9 8 8 8 8 7 8 9 10 11 12 12 12 12 12 11 11 11 11 12 13 13 14 14 14 15 15 16 15 14 13 13 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 10 10 9 8 7 7 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 6 4 3 2 2 4 7 10 11 12 11 11 11 11 11 10 10 10 10 10 10 8 6 5 6 9 11 14 14 14 14 13 13 13 13 14 14 14 13 13 12 12 11 11 12 13 13 13 13 14 14 15 15 15 15 14 14 13 13 12 11 10 9 9 9 9 8 nan
nan 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 9 10 11 12 13 13 12 12 11 11 12 12 12 12 13 13 13 13 15 16 16 15 14 13 12 11 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 11 11 10 9 9 8 8 8 8 10 12 13 12 10 9 8 7 6 6 6 6 7 9 10 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 7 5 2 -1 -1 -1 2 6 9 11 11 11 11 11 10 10 8 7 7 8 9 9 8 5 2 3 6 11 15 16 15 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 13 14 14 15 15 14 13 12 12 12 11 10 9 9 9 9 9 9 nan
nan 10 11 11 11 11 10 9 9 8 8 8 8 8 8 9 10 11 12 13 13 13 12 12 11 11 11 11 12 12 12 12 13 13 14 15 16 15 14 12 11 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 11 11 12 13 13 13 12 12 12 12 12 11 8 7 6 6 6 8 11 12 12 10 8 7 6 6 5 5 4 5 6 8 9 10 10 10 10 10 10 11 11 10 9 8 8 7 6 5 2 -0 -3 -4 -2 1 6 9 11 12 12 12 11 11 10 8 5 4 4 6 8 7 5 1 0 5 11 18 21 18 14 12 11 11 11 12 11 11 11 11 10 10 10 10 11 11 11 12 12 12 13 13 13 14 14 14 14 13 12 11 11 11 10 10 10 10 10 10 11 nan
nan 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 12 13 13 12 12 12 11 11 11 11 12 12 12 12 13 13 14 15 15 15 13 12 11 9 9 9 9 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 14 14 12 10 8 6 4 3 4 6 8 9 8 7 6 7 7 7 7 5 2 2 3 5 7 7 8 8 9 10 11 11 11 9 8 6 4 3 0 -2 -4 -5 -3 1 6 10 11 11 11 12 13 12 12 11 9 7 6 7 9 9 7 4 1 5 13 20 26 24 18 13 11 10 11 11 12 11 11 11 11 10 10 10 10 11 11 11 12 12 12 13 13 13 14 14 13 13 12 12 11 11 11 10 10 10 10 11 11 11 nan
nan 11 11 11 10 10 10 9 9 10 10 10 9 9 9 10 10 11 12 12 13 12 12 12 12 11 11 11 11 12 12 12 13 13 14 15 15 14 13 12 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 12 13 14 14 14 12 11 10 7 5 3 3 3 3 4 5 6 9 10 11 10 7 4 3 3 3 5 5 6 7 8 9 10 11 12 10 8 6 3 1 -2 -3 -3 -2 2 6 9 10 10 10 10 10 11 12 12 12 12 11 11 12 13 11 9 7 8 14 22 28 29 22 16 12 10 10 11 12 12 12 12 12 11 10 10 10 10 10 11 11 11 11 12 13 13 13 14 14 13 13 12 12 11 11 11 11 10 11 11 11 11 11 nan
nan 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 14 14 15 14 13 12 10 9 9 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 14 14 15 15 13 11 8 5 4 3 5 6 9 11 12 12 11 9 8 7 7 8 8 7 7 6 6 7 9 11 12 12 11 9 7 4 2 2 2 4 7 9 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 12 11 11 14 19 24 27 24 18 14 11 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 13 13 14 14 14 13 13 12 12 12 11 11 11 10 11 11 11 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
191 161 135 117 98 91 86 85 85 86 91 103 122 144 163 173 166 143 111 98 88 83 87 100 115 119 101 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
162 132 109 98 88 85 85 88 95 106 122 145 169 185 196 197 184 154 125 117 115 110 101 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
128 107 95 90 87 87 93 105 122 145 171 199 221 230 225 210 183 148 120 116 121 117 104 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
108 97 94 94 97 104 117 137 163 190 215 236 245 240 219 190 154 118 94 92 99 94 80 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
103 98 101 107 117 131 153 180 208 230 243 246 236 216 186 154 121 92 71 61 57 51 47 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
108 108 116 130 147 167 196 230 254 260 249 230 204 177 151 127 104 81 59 41 31 26 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
123 128 143 164 190 222 256 286 291 273 241 206 175 151 128 109 93 75 54 37 23 16 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
150 160 177 201 232 269 301 310 297 266 226 188 159 141 125 107 90 71 51 33 19 11 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
190 201 215 235 263 297 322 321 298 261 220 183 158 143 128 111 92 70 46 27 15 8 4 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 0 0 0 0 0 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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