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 6 6 6 7 8 9 9 8 8 7 6 6 6 6 7 7 8 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 5 5 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 10 11 11 10 9 10 11 10 9 8 8 7 7 7 6 6 7 8 8 8 7 7 7 8 8 7 8 8 9 9 9 9 10 10 10 11 11 10 9 8 8 9 10 9 8 7 7 7 9 11 11 10 9 8 8 7 7 8 8 8 8 9 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 10 11 nan
nan 6 5 5 6 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 9 9 9 9 9 10 10 9 9 10 11 11 10 10 9 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 8 8 7 6 6 6 5 5 5 7 7 7 7 8 8 8 8 8 8 8 9 9 8 9 9 11 12 12 10 9 9 10 9 9 8 8 8 7 7 6 6 7 7 7 7 7 7 8 8 8 7 7 8 9 9 9 9 9 10 10 11 12 11 10 9 9 9 9 9 7 6 6 6 7 10 11 11 10 9 8 8 8 9 9 9 9 9 10 9 9 9 9 9 10 9 8 8 9 9 9 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 8 9 9 nan
nan 5 5 5 6 6 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 9 8 9 9 10 11 11 11 10 10 10 10 9 9 8 8 8 8 8 9 8 8 7 7 7 6 6 6 6 7 8 8 8 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 11 9 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 6 7 7 7 7 7 8 8 8 9 9 9 9 10 11 11 11 10 9 9 9 9 9 8 7 6 6 6 8 10 11 11 10 9 9 9 10 10 9 9 9 9 8 7 7 7 8 9 9 9 9 10 10 9 8 8 8 7 7 7 6 6 5 5 5 7 8 8 8 8 8 8 nan
nan 6 6 6 6 6 7 8 8 8 9 9 9 8 8 7 7 7 7 8 9 10 11 11 10 9 8 8 8 9 10 11 11 11 10 10 10 10 11 11 11 11 10 9 9 9 10 10 10 9 9 10 10 11 11 11 10 10 10 10 9 9 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 9 9 10 11 11 10 10 9 9 9 8 7 7 6 6 6 7 9 10 11 10 10 10 10 10 9 9 8 8 8 8 7 7 7 8 9 8 8 8 8 7 6 6 6 6 5 5 5 5 5 4 5 6 8 10 10 9 8 8 7 nan
nan 8 8 7 7 7 8 8 9 9 9 9 8 6 5 5 6 6 7 9 11 12 12 11 10 9 8 8 8 9 11 11 11 10 8 8 9 10 10 10 11 11 10 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 9 9 10 10 11 11 10 10 9 9 8 7 6 6 6 6 7 8 10 10 10 10 10 10 9 9 8 8 9 8 8 7 7 8 8 8 5 4 3 3 3 3 4 5 5 5 6 6 6 6 6 7 9 11 12 12 10 8 7 7 nan
nan 9 8 7 7 8 9 9 9 10 10 10 8 8 7 8 8 8 9 11 13 13 12 11 10 9 8 8 8 9 10 11 11 9 8 8 9 9 9 10 11 11 10 9 9 10 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 9 9 9 9 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 9 8 8 7 7 6 7 7 8 9 9 9 10 10 11 10 9 9 9 9 8 8 7 8 9 8 6 3 1 1 2 3 5 6 6 7 7 7 8 8 8 9 9 10 11 13 12 10 8 7 6 nan
nan 7 6 6 7 8 9 10 10 10 11 10 10 11 12 12 11 12 12 13 12 11 10 10 10 9 8 7 8 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 7 7 7 7 8 8 9 9 10 10 11 10 10 9 9 8 8 7 7 8 8 7 5 3 2 4 5 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 8 7 5 nan
nan 4 4 5 7 8 9 9 10 10 10 9 9 9 10 10 12 13 14 13 11 9 9 9 9 10 9 9 8 9 9 10 10 10 11 11 10 10 9 8 8 8 9 9 9 8 6 6 7 8 9 9 9 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 12 11 10 10 9 9 9 10 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 10 10 10 9 9 9 8 7 7 7 8 8 7 5 5 5 7 8 9 8 8 8 8 9 9 8 8 8 9 9 9 9 9 8 8 7 6 6 nan
nan 3 3 5 7 8 8 9 8 8 8 7 7 7 8 10 12 14 14 12 10 10 9 9 9 10 11 10 9 9 9 9 10 10 11 11 11 11 10 9 8 8 8 9 8 7 6 8 9 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 7 7 6 5 4 4 5 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 12 12 13 12 11 11 10 9 9 9 10 10 11 10 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 6 8 8 9 9 9 9 9 9 8 8 8 7 8 8 8 7 6 6 7 9 9 9 7 7 7 8 8 8 7 7 7 8 8 9 9 8 8 8 7 7 6 nan
nan 3 4 5 6 7 8 8 7 7 6 7 8 10 12 14 14 14 13 11 11 11 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 7 8 9 10 10 10 9 9 9 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 6 5 4 4 5 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 12 12 11 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 9 9 9 10 9 8 7 6 5 6 7 8 9 9 9 9 8 8 8 8 8 8 8 7 7 6 7 8 9 8 7 6 6 8 8 8 7 7 7 7 8 9 10 10 9 8 8 7 6 5 nan
nan 5 5 6 7 7 7 7 7 7 7 9 11 14 16 15 14 12 11 10 10 9 9 8 7 7 7 8 8 9 8 8 8 7 6 6 7 7 8 10 10 10 10 9 9 8 8 8 9 10 10 10 9 9 9 10 12 12 11 11 10 10 10 10 9 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 10 10 11 10 10 10 10 10 11 10 10 9 8 8 8 9 9 8 8 8 8 8 8 8 7 8 8 9 10 10 10 10 10 10 9 8 9 10 10 10 10 9 9 9 9 8 7 7 6 7 8 8 8 8 8 8 8 8 9 9 8 8 8 7 6 6 7 8 8 8 6 6 7 8 9 8 8 8 8 8 8 9 10 9 8 7 6 6 5 4 nan
nan 7 7 7 8 8 8 8 8 8 10 12 14 14 13 11 9 9 8 8 8 7 6 5 5 4 4 5 5 6 7 6 6 5 5 5 5 5 6 7 8 9 10 10 10 9 9 9 10 11 11 11 9 9 8 9 11 12 12 11 10 10 10 9 8 8 7 7 8 8 8 7 7 7 7 7 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 10 10 9 9 10 10 10 9 9 8 8 8 9 9 9 8 8 8 9 9 8 8 8 9 9 10 11 11 11 10 10 10 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 9 8 7 5 6 8 9 9 9 9 8 8 8 7 7 7 7 8 8 7 7 7 7 8 9 9 9 9 9 8 8 9 9 8 7 6 5 4 4 5 nan
nan 7 8 8 8 8 8 8 8 9 11 12 11 10 8 6 5 5 6 5 5 5 4 3 3 4 5 5 5 6 6 6 6 5 5 5 4 4 5 5 6 7 8 9 9 9 9 10 12 13 12 11 9 8 8 8 9 10 11 10 10 10 9 9 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 8 8 9 9 9 9 9 8 6 5 6 8 9 10 10 9 8 8 8 8 8 7 7 7 8 8 8 7 7 8 8 9 9 9 8 7 7 8 8 8 7 5 4 5 7 8 nan
nan 7 8 8 8 7 7 7 8 9 9 8 7 5 4 3 4 4 4 3 3 3 3 4 5 6 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 7 7 7 7 8 9 10 12 13 12 10 9 8 7 7 8 9 10 9 9 9 9 8 7 7 6 6 6 6 7 8 10 10 11 10 9 9 8 7 7 8 8 8 7 7 7 7 7 6 7 7 7 7 7 8 9 11 11 12 11 11 11 10 10 10 10 10 9 9 10 10 10 11 10 9 9 8 9 10 10 11 10 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 8 7 6 6 7 8 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 8 8 8 8 9 9 8 7 6 7 8 8 8 7 6 7 8 10 11 nan
nan 7 7 7 7 7 7 7 8 8 7 6 5 4 3 3 4 4 3 3 3 3 4 6 7 7 7 7 8 7 6 5 5 6 6 7 6 6 7 7 8 7 7 7 7 7 9 10 11 12 11 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 9 10 11 10 9 10 9 7 6 6 8 9 9 8 7 7 6 7 7 7 7 7 7 8 9 10 11 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 12 11 10 9 8 8 9 11 11 10 8 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 11 11 nan
nan 7 7 7 7 7 7 7 7 7 6 6 5 5 4 4 3 3 4 4 5 5 6 6 6 6 7 7 8 7 7 6 5 5 5 6 6 7 8 8 8 7 7 7 7 8 9 10 10 11 10 10 9 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 9 10 10 10 9 9 9 8 7 6 7 9 10 10 9 8 7 7 7 7 7 7 7 8 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 12 11 10 8 7 8 9 10 10 9 8 8 7 7 8 9 9 9 9 9 9 8 8 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 10 9 9 9 10 10 9 9 8 8 7 7 7 7 7 6 6 7 8 8 9 10 9 nan
nan 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 7 7 6 5 6 7 8 8 8 7 7 8 8 8 9 9 9 10 10 10 10 10 9 8 7 7 7 7 7 7 8 7 7 7 8 8 8 9 9 9 10 10 10 9 8 7 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 10 11 12 12 12 11 11 10 10 11 11 11 10 9 9 10 10 10 10 10 9 8 7 7 8 9 9 9 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 10 9 9 8 9 9 9 10 9 9 8 8 8 8 8 9 10 10 10 10 11 11 12 12 11 10 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 7 8 9 9 9 8 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 7 7 8 8 8 9 9 9 9 9 10 10 11 10 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 7 7 8 9 9 9 9 8 8 8 7 7 8 9 10 11 12 11 10 9 9 9 10 10 9 9 8 8 9 9 10 9 9 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 10 9 8 8 8 9 9 10 9 9 8 8 8 8 8 9 10 10 10 10 10 10 11 12 11 10 9 9 8 8 9 9 9 9 8 7 7 7 6 6 7 7 8 8 8 8 7 nan
nan 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 8 8 9 9 9 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 8 9 10 9 8 8 8 9 9 8 8 8 7 8 8 9 9 9 8 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 7 7 7 nan
nan 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 9 8 7 9 10 10 10 10 10 10 9 8 8 9 10 10 10 8 7 7 8 9 8 8 8 8 8 8 7 7 7 8 7 7 7 6 6 7 8 8 7 7 7 8 9 8 8 8 7 8 8 8 9 9 8 6 6 6 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 7 7 7 8 8 8 7 7 7 7 7 7 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 9 9 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 6 6 7 9 10 11 11 11 10 9 8 8 9 10 11 10 9 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 5 5 6 6 7 7 6 7 8 8 8 8 8 8 7 8 8 9 9 7 6 6 6 6 6 7 7 6 6 6 7 7 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 8 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 6 5 6 8 10 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 5 5 5 6 7 7 7 8 8 8 8 8 7 7 7 7 8 9 8 6 5 6 6 6 6 7 7 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 9 8 8 9 8 nan
nan 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 5 5 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 6 6 7 9 10 10 10 10 9 9 9 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 5 5 5 6 7 8 9 9 8 8 8 8 7 7 7 7 8 8 7 6 6 7 6 6 6 7 7 7 7 7 7 8 8 8 9 9 10 10 9 9 9 8 7 7 7 8 8 8 9 9 9 9 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 9 9 10 10 11 12 12 12 11 10 10 10 10 9 nan
nan 7 7 7 7 7 7 7 8 8 8 9 9 9 9 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 6 5 4 5 6 8 10 10 9 9 8 8 8 8 8 7 7 7 7 6 7 7 7 6 6 7 7 8 7 7 7 8 8 8 8 9 9 10 11 10 10 9 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 10 11 11 11 11 11 11 11 11 10 9 nan
nan 6 6 7 6 7 7 7 7 7 7 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 7 7 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 10 10 10 10 10 9 9 8 6 5 5 5 7 9 10 11 10 9 8 8 8 8 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 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 nan
nan 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 7 7 6 6 6 7 9 10 10 10 9 8 8 9 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 nan
nan 6 6 5 6 6 5 5 5 7 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 7 7 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 10 9 9 10 10 10 10 10 9 9 9 10 10 9 8 9 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 6 6 7 9 10 10 10 9 8 8 8 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 8 7 8 8 9 10 10 9 8 7 7 7 7 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 8 9 10 nan
nan 6 6 7 7 7 6 7 7 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 10 9 9 9 10 10 9 8 8 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 6 6 7 8 10 10 10 9 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 8 8 7 7 7 8 9 10 9 8 8 9 9 10 10 10 9 7 6 6 6 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 10 10 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 7 6 6 6 8 10 10 10 9 9 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 10 10 9 9 8 8 7 7 7 9 9 9 9 9 8 7 7 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 8 9 10 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 7 8 8 8 8 8 9 10 9 9 9 9 9 8 7 7 7 8 9 9 9 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 10 11 12 11 nan
nan 8 8 8 8 8 8 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 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 8 9 9 9 8 8 8 8 8 8 9 11 11 10 9 9 10 9 9 9 9 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 6 6 7 8 9 9 8 9 10 10 10 9 9 9 9 8 7 7 7 8 8 8 8 8 9 10 10 10 10 10 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 10 11 11 10 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 8 8 8 8 9 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 8 7 8 9 9 9 9 9 8 7 7 8 9 10 10 10 10 9 9 10 10 9 9 9 9 9 8 8 7 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 8 8 8 8 8 8 8 9 8 8 8 8 9 9 10 10 9 8 6 5 5 7 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 nan
nan 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 8 7 7 7 8 9 10 10 9 9 9 10 10 9 9 9 9 9 8 7 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 8 8 7 6 7 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 9 9 9 8 9 9 10 10 10 10 9 9 9 9 9 9 8 7 7 6 6 7 7 8 8 7 6 nan
nan 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 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 9 10 9 9 10 9 9 8 8 9 9 9 9 10 10 9 9 9 9 9 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 7 7 7 8 8 8 8 9 9 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 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 10 10 9 9 10 10 10 9 8 7 8 9 9 9 9 8 8 8 9 10 10 11 10 10 10 10 10 10 9 9 8 7 6 6 6 7 8 8 7 7 6 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 10 10 9 8 8 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 8 7 7 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 10 10 10 10 10 11 11 9 8 8 9 9 10 9 9 8 9 9 10 11 11 11 10 10 10 10 10 10 10 9 8 7 7 6 7 7 8 7 7 7 7 nan
nan 9 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 9 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 9 10 10 10 9 9 9 10 10 10 10 10 9 8 8 10 10 11 11 11 12 11 9 9 9 9 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 nan
nan 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 8 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 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 8 8 9 9 10 10 9 8 9 10 10 10 10 10 10 9 8 9 9 10 10 11 12 12 11 10 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 nan
nan 8 8 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 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 11 10 9 8 8 7 8 8 7 7 7 6 6 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 10 10 11 11 11 12 12 11 10 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 nan
nan 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 11 11 11 12 12 12 13 12 11 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 8 9 9 10 11 12 11 11 10 9 8 8 9 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 11 10 10 10 10 9 9 8 8 8 8 8 9 nan
nan 8 7 7 7 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 9 9 10 10 10 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 7 7 8 8 9 9 9 10 10 9 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 8 8 9 10 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 nan
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nan 8 8 8 8 8 9 10 10 11 12 12 12 12 12 12 12 11 10 8 7 7 7 7 8 9 10 10 10 9 8 8 8 9 10 11 12 13 13 12 11 10 10 10 10 10 10 10 11 11 10 10 9 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 7 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 13 13 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 10 13 14 14 12 10 9 9 10 10 10 10 10 10 10 11 11 10 9 8 9 10 11 10 7 3 3 4 5 6 7 8 8 9 9 9 8 7 5 5 6 8 9 12 13 13 13 12 11 10 10 10 10 11 11 12 13 14 15 16 nan
nan 7 8 8 8 8 9 10 10 11 12 13 13 13 13 12 11 10 9 7 6 6 7 8 9 10 10 10 10 9 8 8 8 9 9 10 11 12 12 12 11 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 6 6 6 6 7 8 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 11 12 13 12 12 11 10 8 8 7 7 7 7 7 6 7 7 7 7 7 9 12 14 14 13 10 9 10 10 10 10 10 10 10 11 12 12 11 10 8 9 11 11 10 7 5 4 4 5 6 7 7 8 8 8 8 7 6 5 6 7 9 10 12 14 14 14 13 11 10 10 10 11 11 12 13 14 15 16 15 nan
nan 7 7 7 7 8 9 9 10 11 11 12 12 12 12 12 11 9 8 6 6 6 8 9 10 10 10 10 9 9 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 10 10 9 9 9 9 8 8 7 7 7 6 7 7 8 9 10 10 11 11 11 12 12 12 11 11 11 12 13 13 13 12 11 11 11 11 12 12 12 13 12 12 12 13 13 13 12 11 10 10 11 12 12 13 13 12 10 9 8 8 8 8 8 7 7 6 7 7 7 6 8 11 13 14 13 11 10 10 10 10 10 10 10 10 11 11 12 11 10 9 10 11 12 12 11 10 10 10 9 8 7 6 6 6 6 6 5 5 6 7 8 10 11 13 14 14 14 12 11 11 10 10 11 12 13 13 14 15 15 14 nan
nan 8 8 7 8 8 8 9 10 10 11 12 12 12 12 11 10 8 7 6 6 7 9 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 8 9 10 11 12 12 12 12 13 12 12 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 11 11 11 12 12 13 13 12 11 10 9 9 9 9 8 8 7 7 7 7 7 6 7 10 12 15 14 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 13 13 15 15 14 12 9 6 5 4 5 5 5 5 6 7 8 9 11 12 14 14 14 13 12 11 11 11 11 11 12 13 13 14 15 14 13 nan
nan 9 9 9 9 8 8 9 9 10 11 11 12 12 11 10 9 8 6 6 6 8 9 11 11 12 12 11 10 9 9 10 10 10 9 9 9 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 10 11 12 13 13 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 12 12 13 12 12 12 12 12 13 13 12 12 11 10 10 10 10 10 9 8 8 7 7 7 6 6 6 8 11 14 14 12 11 10 8 8 8 8 8 8 8 9 9 9 10 10 10 11 12 13 14 15 15 14 12 9 7 5 4 5 6 7 7 8 8 9 10 11 12 13 13 13 12 11 11 11 11 11 12 12 13 13 14 14 14 13 nan
nan 11 10 10 10 9 9 9 9 10 10 11 12 12 11 10 9 7 6 6 7 8 9 10 11 11 11 10 10 10 9 10 10 9 9 9 9 9 10 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 13 14 14 15 15 14 14 13 13 13 13 12 13 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 9 8 8 8 8 7 7 6 5 7 10 12 13 13 11 9 8 8 8 8 8 9 11 11 10 10 9 9 10 11 12 12 13 14 13 12 11 10 8 7 7 8 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 13 13 13 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 8 7 6 6 7 8 9 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 11 11 10 11 11 11 12 12 12 13 13 14 14 14 14 13 13 13 13 13 13 14 14 14 15 15 15 15 15 14 14 14 14 14 13 13 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 10 11 10 10 8 8 8 8 7 7 6 6 7 9 11 13 13 12 9 8 8 8 8 10 12 13 13 12 11 10 10 10 11 11 12 12 12 11 11 10 9 9 8 9 10 10 10 9 9 9 9 10 11 12 13 13 12 12 13 13 13 13 13 13 13 13 13 13 12 12 13 nan
nan 9 10 9 9 9 9 9 10 10 11 11 12 11 10 9 8 7 7 7 8 9 10 10 11 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 15 15 15 14 14 14 14 14 14 13 13 14 14 15 15 16 16 17 17 17 17 16 15 14 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 10 11 10 9 8 7 7 6 6 7 7 7 7 8 11 14 14 12 9 8 8 8 10 11 13 13 13 12 11 10 10 10 10 10 11 11 10 9 9 8 8 7 7 8 9 9 9 8 8 9 9 10 11 12 13 14 13 13 13 13 14 14 13 13 12 12 11 10 10 12 13 nan
nan 9 9 9 9 9 9 9 10 11 11 11 11 11 10 9 8 8 8 8 9 10 10 11 12 12 12 11 11 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 12 12 13 14 15 15 15 15 14 14 14 14 14 14 14 15 15 15 16 17 18 19 20 20 20 18 16 14 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 11 11 11 10 9 9 8 9 9 10 9 8 6 5 5 6 7 7 8 8 8 10 13 14 13 10 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 8 7 7 7 6 6 6 7 8 9 8 8 9 10 11 11 12 13 14 13 13 14 15 15 15 13 11 10 10 9 9 11 14 16 nan
nan 10 9 9 9 9 9 9 10 10 11 11 10 10 9 8 8 8 9 10 10 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 11 12 13 14 15 15 15 15 15 15 15 16 16 16 16 16 16 16 17 17 18 18 18 18 17 15 14 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 8 7 7 7 9 9 8 6 6 6 6 7 8 8 8 8 10 13 14 13 11 10 11 12 12 11 10 10 10 10 9 9 10 10 9 9 9 9 9 8 8 8 7 6 5 5 7 8 8 8 8 9 10 11 12 13 13 14 14 15 16 17 16 14 11 8 7 8 9 12 17 20 18 nan
nan 11 11 11 10 10 9 9 10 10 10 9 9 8 7 7 7 8 9 10 11 10 10 11 11 10 10 9 8 8 9 10 10 11 11 11 11 11 11 12 12 11 11 10 9 9 9 9 9 9 9 8 9 9 10 11 11 12 13 14 14 15 15 15 16 17 17 17 17 17 16 16 15 15 16 16 15 14 13 11 11 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 8 7 5 6 8 9 9 9 8 8 7 6 7 7 7 8 10 12 12 11 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 5 4 5 7 8 8 8 9 10 11 12 13 13 13 14 15 17 19 18 15 11 7 5 6 9 13 18 22 23 19 nan
nan 11 11 11 11 11 10 10 10 9 9 9 8 7 6 7 8 9 10 10 10 10 10 10 10 10 9 8 7 8 9 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 14 14 14 15 15 16 16 16 16 15 14 13 13 13 13 11 10 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 9 8 7 6 6 7 8 10 11 10 7 5 5 6 6 8 9 10 10 9 8 7 7 7 7 10 12 12 11 9 9 9 9 9 9 9 9 9 8 8 8 7 7 5 4 5 7 8 8 9 10 11 12 13 14 14 13 15 18 20 20 16 10 6 3 5 9 13 17 20 22 21 19 nan
nan 10 10 11 11 11 11 10 10 10 9 8 7 6 6 7 8 10 11 11 11 10 10 10 11 10 10 8 8 8 9 11 11 12 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 14 14 14 14 13 11 10 10 11 11 9 7 6 5 6 7 8 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 10 10 10 10 9 8 7 6 7 10 11 10 6 3 3 5 6 8 9 9 9 8 5 4 4 5 9 14 16 15 13 11 10 10 9 9 9 9 9 8 8 8 9 9 8 5 4 5 6 8 8 10 11 12 13 14 14 13 14 17 20 21 18 11 6 3 3 8 13 16 18 20 22 21 19 nan
nan 9 9 9 10 10 11 11 10 10 9 8 7 7 7 8 9 10 11 12 11 11 11 11 11 11 10 9 8 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 12 11 10 9 9 9 9 9 7 6 5 5 6 7 8 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 10 10 8 6 6 9 10 8 4 2 3 5 8 9 10 10 10 8 5 4 4 6 12 16 17 15 14 13 13 12 11 10 10 9 9 8 8 8 9 8 6 4 3 4 6 8 10 11 12 13 14 14 14 13 14 16 17 17 12 6 3 3 7 12 15 17 18 20 22 23 20 nan
nan 9 8 8 8 9 10 10 10 10 9 8 7 8 9 10 10 11 12 12 12 11 11 11 12 11 11 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 10 9 8 8 8 8 8 7 6 6 6 7 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 10 7 7 8 8 6 3 2 4 7 9 10 11 11 11 10 8 7 7 10 14 15 14 13 13 13 13 12 11 10 10 9 9 8 6 6 5 3 1 0 2 4 8 10 11 12 13 14 14 14 14 14 14 13 11 8 4 1 2 6 12 15 16 17 19 21 23 22 19 nan
nan 9 9 8 9 9 10 10 10 10 9 8 8 9 10 11 11 12 12 12 12 11 11 11 12 12 12 11 10 9 8 8 9 9 10 11 11 11 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 10 9 8 8 7 6 4 5 7 9 10 11 12 12 12 10 9 9 10 12 12 11 11 12 13 13 12 11 10 10 9 9 7 5 3 1 1 -0 -0 1 4 7 10 11 12 13 14 15 16 17 16 15 13 11 8 5 3 3 6 11 15 16 18 19 21 22 22 20 17 nan
nan 9 9 9 10 10 11 11 11 10 9 9 9 9 10 11 12 12 12 12 11 11 11 12 13 14 14 13 11 9 8 7 8 9 10 11 11 11 10 10 9 9 9 10 10 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 8 7 6 7 9 10 11 11 12 12 12 12 11 11 11 12 12 10 10 10 12 14 13 12 11 9 8 7 5 3 1 -0 -0 1 3 5 8 10 12 12 13 13 15 16 18 19 20 19 17 14 12 9 7 7 8 11 14 16 18 20 22 23 22 20 17 14 nan
nan 9 9 9 10 11 11 11 11 10 9 9 9 10 11 11 12 12 12 11 11 10 11 12 14 15 15 14 12 9 7 6 7 8 9 10 11 10 10 9 9 9 9 10 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 9 8 8 10 12 13 13 14 14 13 12 11 11 12 13 13 12 10 9 10 13 15 14 13 10 6 3 1 -0 -1 -0 1 3 7 11 13 15 15 14 15 15 17 18 20 21 21 20 18 16 14 12 10 8 8 10 12 15 18 21 23 24 22 20 17 14 13 nan
nan 9 9 9 10 11 11 11 11 10 9 9 9 10 11 11 12 12 11 11 10 9 10 12 13 14 15 14 12 9 7 6 6 7 8 9 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 12 13 14 16 16 15 13 11 10 12 14 15 14 12 10 9 10 12 13 13 11 7 3 1 0 1 3 6 9 13 16 19 19 18 17 17 18 20 20 20 20 20 18 16 14 12 10 8 6 6 7 10 14 16 19 22 23 21 19 16 14 13 13 nan
nan 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 10 10 9 10 11 12 13 14 14 12 9 8 7 7 7 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 11 11 10 9 9 9 9 10 10 11 12 12 12 12 11 11 10 10 10 10 10 11 10 9 9 9 8 8 8 7 7 7 8 9 9 9 9 9 10 9 9 10 10 10 10 11 11 10 10 10 10 10 11 12 12 13 12 12 11 10 10 10 11 12 13 14 15 15 14 12 11 12 15 17 17 15 12 11 11 12 13 14 15 12 8 6 6 8 11 13 15 18 21 23 22 20 18 17 18 19 20 19 18 16 15 12 10 9 8 7 5 5 7 10 14 16 18 20 21 20 17 15 14 13 13 13 nan
nan 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 12 10 9 9 8 8 9 9 9 9 10 10 10 11 11 11 12 12 12 11 11 10 10 10 11 11 12 12 12 12 12 12 12 11 10 9 9 9 10 10 12 12 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 9 9 10 11 11 11 11 10 10 10 10 10 10 11 12 13 13 13 12 11 10 10 10 11 11 12 13 13 13 13 12 13 16 18 19 18 16 14 14 15 17 19 20 20 17 13 13 14 17 19 20 21 22 23 21 18 15 13 13 14 14 14 13 12 11 10 8 7 7 8 9 9 10 13 15 17 18 18 18 17 15 14 13 13 13 13 13 nan
nan 9 9 9 10 10 10 10 9 9 8 8 8 7 8 8 9 9 9 10 10 10 9 9 10 11 12 13 12 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 13 12 12 11 10 10 10 10 10 11 11 12 12 12 13 13 12 11 9 8 8 8 9 10 11 12 12 12 12 11 11 10 10 9 10 10 10 10 10 10 9 9 9 9 9 8 8 7 6 6 6 7 8 9 10 10 10 10 11 11 11 11 10 10 10 10 10 11 12 12 13 13 13 12 11 11 11 11 11 11 12 12 13 13 13 13 14 16 17 18 17 15 15 16 18 20 21 22 20 18 17 17 18 19 19 20 20 19 17 14 10 8 8 10 12 12 11 11 11 10 10 9 9 10 11 12 13 15 16 17 17 16 16 15 13 12 12 12 12 13 13 14 nan
nan 9 9 10 10 10 9 9 8 8 7 6 6 6 6 7 8 8 9 10 10 9 9 9 10 11 11 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 13 13 13 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 11 10 9 8 8 9 10 10 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 5 6 7 9 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 12 12 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 14 13 13 14 15 17 17 17 16 15 14 14 14 14 15 15 15 15 13 11 10 9 9 12 14 16 16 16 16 15 14 13 13 13 13 12 12 13 13 14 14 14 13 13 12 11 11 11 12 12 13 13 14 nan
nan 10 10 10 10 9 9 8 8 7 7 6 5 5 5 6 7 8 9 10 10 9 9 9 10 11 12 12 12 13 13 13 13 12 12 11 11 11 12 12 13 13 13 13 12 12 11 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 9 8 8 9 10 10 10 10 10 12 13 12 12 11 11 11 11 11 10 10 10 10 9 9 8 8 8 7 7 6 5 5 5 7 8 9 10 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 12 12 13 13 13 12 11 11 11 11 11 12 12 12 11 10 11 12 14 16 17 18 19 19 19 18 17 16 15 14 13 12 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 nan
nan 11 11 10 10 10 9 8 8 7 7 6 6 6 6 7 8 9 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 12 12 11 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 7 6 6 5 5 4 4 4 6 7 9 10 11 12 12 12 11 11 10 10 10 10 11 11 11 12 11 11 11 11 12 12 11 10 10 9 9 10 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 10 9 9 10 11 12 13 12 12 12 13 14 15 16 16 17 17 17 16 15 14 14 13 12 12 11 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 nan
nan 10 10 10 10 10 9 9 8 7 7 7 7 7 7 8 9 10 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 13 13 14 14 13 13 12 11 11 10 10 11 11 11 11 11 11 11 11 12 11 11 10 10 10 11 12 12 12 12 11 9 8 8 10 11 12 12 11 11 11 11 11 10 10 10 9 9 9 8 8 7 6 5 4 4 3 2 2 3 5 7 9 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 7 6 6 6 8 10 11 11 11 12 12 12 11 11 10 10 10 11 11 10 8 7 7 9 11 14 14 14 13 12 12 13 13 13 13 13 13 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 13 12 12 12 12 12 12 11 10 nan
nan 10 10 10 10 10 9 9 8 7 7 7 7 7 7 8 9 10 11 11 11 12 11 11 11 11 12 12 13 13 13 12 12 11 11 12 12 13 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 10 11 12 12 12 11 9 8 8 8 10 11 11 11 11 11 12 12 11 10 9 9 9 8 9 9 9 9 7 6 5 3 1 1 1 2 4 7 10 11 12 12 12 11 10 10 10 11 11 11 10 10 10 10 10 10 9 7 5 4 4 5 8 9 10 10 9 9 9 9 9 9 8 7 8 9 10 9 7 4 4 6 10 14 16 15 14 13 12 12 12 11 11 11 11 11 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 10 10 9 8 8 7 7 7 7 7 8 9 10 11 11 12 12 12 12 11 11 12 12 13 13 13 12 12 11 11 12 12 13 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 9 9 10 11 12 11 9 8 7 8 8 9 9 9 10 12 12 12 11 11 10 10 10 9 9 10 10 10 10 8 7 5 3 2 1 1 1 4 6 9 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 7 6 4 3 3 5 8 11 12 12 11 9 8 7 7 6 5 4 5 6 7 7 6 3 2 5 10 16 19 18 15 13 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 13 13 14 13 13 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 11 11 10 10 9 10 11 11 11 10 9 9 8 8 8 7 8 9 11 11 11 11 11 12 13 12 11 10 10 10 10 10 9 8 8 7 6 5 3 1 1 2 4 6 8 9 10 11 12 12 12 12 11 10 8 7 6 5 3 2 1 2 5 8 11 11 11 11 11 11 10 9 8 7 5 5 7 8 8 7 5 3 5 11 18 24 24 19 15 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 10 11 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 10 10 11 11 12 12 11 11 10 9 8 8 8 8 8 8 8 8 10 12 13 13 11 10 10 9 9 8 8 8 9 10 10 10 8 6 4 3 3 4 5 6 7 9 11 12 13 13 12 10 8 6 4 2 2 2 3 5 8 9 10 10 10 10 10 11 12 11 11 10 10 11 12 13 11 9 7 8 14 21 27 28 23 18 14 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 12 12 13 13 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 8 8 8 8 9 10 11 12 12 11 10 10 9 8 8 7 7 7 8 11 13 14 14 13 11 9 6 5 5 5 6 7 8 9 9 9 9 9 10 11 11 12 12 12 13 14 15 15 13 12 12 15 19 24 27 25 20 16 13 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
126 109 95 83 76 77 93 107 110 105 100 95 84 71 59 47 32 15 2 10 22 37 57 84 120 161 202 231 252 261 261 261 273 305 365 441 517 570 587 572 543 494 456 420 404 410 420 415 413 406 388 380 389 405 410 404 382 351 314 276 241 217 209 214 192 161 139 130 130 130 123 118 133 170 214 261 321 395 488 594 653 658 642 633 621 591 530 474 440 413 390 388 377 394 345 325 335 340 314 261 203 157 141 136 133 135 140 142 136 129 127 136 159 193 206 209 208 196 168 131 99 72 62 58 50 38 27 20 14 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 2 8 26 48 67 78 78
116 106 100 95 96 107 118 117 106 93 83 73 59 42 24 11 5 2 1 16 38 59 79 100 127 163 200 212 219 226 238 257 283 315 366 438 515 568 576 548 518 492 479 462 447 448 460 456 459 459 443 431 435 443 428 393 364 335 302 274 253 232 219 210 189 168 158 161 169 168 154 142 146 169 203 245 302 379 391 464 513 519 497 468 438 397 344 299 243 185 151 139 126 139 148 166 191 208 202 169 128 96 79 72 72 79 93 100 98 92 89 97 117 143 159 160 158 159 142 102 72 52 36 26 20 13 8 12 10 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 1 5 7 17 34 48 57 60
123 123 124 123 122 124 117 103 86 71 58 44 29 11 3 1 0 1 8 33 66 94 114 127 144 172 193 185 172 168 177 203 240 281 328 389 459 510 527 518 504 500 511 518 511 492 471 456 457 457 447 440 446 457 447 400 370 342 313 295 282 257 221 194 175 165 164 169 169 157 136 125 127 140 159 187 250 390 375 369 372 368 351 320 285 250 214 162 108 67 39 27 22 24 39 64 93 113 116 89 71 57 49 44 43 45 55 65 73 76 77 80 90 105 120 119 105 142 185 130 41 25 13 7 4 2 6 27 21 5 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 3 4 6 13 19 28 32
161 158 150 138 125 110 94 79 66 54 42 31 18 6 1 0 1 8 26 56 90 122 144 155 160 170 171 156 138 127 130 147 176 208 248 299 353 399 432 452 462 470 482 489 486 468 440 419 410 407 395 379 372 372 368 339 306 276 252 235 222 206 187 162 147 139 137 137 136 128 117 112 109 101 88 82 112 242 266 257 256 258 248 226 190 150 110 65 33 18 6 1 2 4 14 32 57 83 97 84 64 54 50 45 38 34 42 52 63 71 75 74 71 73 80 80 64 109 183 126 27 15 6 2 1 0 3 21 15 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 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 7 9
214 195 173 148 123 102 86 76 69 62 56 47 35 18 7 4 12 29 53 78 105 134 152 156 149 143 134 124 114 106 105 112 126 145 170 212 252 288 321 349 369 380 379 370 370 372 362 344 343 340 323 300 277 259 245 234 209 193 184 179 175 170 165 154 147 144 139 135 135 134 131 121 105 83 57 33 25 61 92 130 164 180 177 166 132 91 53 22 6 1 0 0 0 0 2 13 39 78 128 129 79 65 74 74 60 48 48 53 61 70 77 76 63 54 49 41 30 29 29 16 8 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 1 1 2 2 1 0 0 0 1
269 235 199 166 137 115 104 102 103 103 99 89 76 63 54 51 56 69 88 107 126 144 148 138 120 104 93 91 94 98 101 103 107 115 127 155 180 199 215 231 246 256 254 243 244 247 242 239 246 250 246 238 224 204 190 186 177 167 162 163 165 164 166 174 177 173 161 146 141 144 145 136 117 94 67 38 19 13 25 54 86 108 113 113 82 50 25 9 1 0 0 0 0 0 0 7 35 104 232 270 125 69 90 100 87 70 65 68 72 78 86 90 71 55 42 27 15 7 2 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 1 3 6 8 7 5 2 0 0 0
329 289 249 214 186 164 162 162 160 154 144 132 121 107 95 91 100 116 136 156 169 174 164 142 117 96 83 82 91 101 105 103 102 103 106 121 133 139 141 142 143 146 145 138 134 136 142 152 164 174 182 192 193 183 176 174 170 164 158 154 162 179 180 196 198 189 172 155 144 141 146 142 122 95 67 37 17 10 12 23 40 56 63 57 35 20 10 3 0 0 0 0 0 0 0 3 17 49 99 116 58 41 68 90 98 99 100 106 107 102 98 96 77 60 42 23 8 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 11 9 5 1 0 0 0
393 353 310 267 229 208 202 194 188 181 176 174 173 171 173 176 184 200 223 243 249 243 224 196 164 132 108 95 94 97 95 88 84 79 78 81 85 86 81 72 64 61 59 55 52 52 61 78 99 116 128 141 147 143 137 133 137 147 163 151 135 179 184 197 195 183 167 151 136 121 120 119 102 76 52 31 17 13 15 23 35 42 40 27 13 6 3 1 0 0 0 0 0 0 0 0 1 4 11 8 6 15 33 56 80 104 120 130 124 106 87 75 59 42 29 16 7 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 1 4 10 13 11 8 4 1 0 0 0
432 386 336 280 234 224 216 209 206 206 209 216 226 236 253 265 273 285 300 303 293 273 246 217 186 154 123 101 89 82 71 56 41 32 30 31 33 34 29 20 14 12 11 11 9 10 14 26 50 64 72 77 80 77 71 64 68 85 122 119 88 119 134 147 150 144 131 113 94 77 74 76 67 49 31 19 14 12 14 28 46 56 48 23 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 20 35 53 70 78 73 57 40 26 18 12 8 4 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 1 3 5 8 11 11 9 7 4 2 1 1
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