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 3 4 5 6 6 7 8 8 8 8 8 9 10 10 10 10 9 8 7 6 6 7 8 10 10 9 8 7 7 8 8 8 8 8 8 7 6 5 5 7 7 8 9 10 10 10 9 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 7 6 6 7 7 8 8 8 8 8 9 10 11 11 10 9 8 7 7 8 10 11 10 8 7 7 8 8 8 7 6 7 7 6 6 7 8 9 9 8 7 8 9 10 10 10 10 9 8 8 9 10 11 12 12 11 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 8 9 9 8 7 8 7 7 7 7 8 8 9 10 9 9 9 10 10 11 12 13 13 12 11 9 8 7 6 6 6 7 6 6 6 6 7 nan
nan 2 3 3 4 6 7 7 8 7 7 6 7 8 9 10 10 10 9 7 6 5 6 7 8 9 9 8 8 8 8 8 8 8 9 8 7 6 5 5 6 6 7 7 8 10 11 10 9 8 8 8 8 9 9 9 9 9 9 8 7 7 7 8 9 10 10 9 7 7 8 8 9 10 10 11 11 12 12 12 12 12 11 11 11 12 13 13 12 11 10 11 12 12 11 10 10 10 10 9 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 10 11 11 11 11 10 10 9 9 9 9 8 7 7 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 8 7 7 6 6 8 9 9 9 9 8 8 10 12 14 13 13 12 12 11 10 8 8 7 7 7 7 8 8 7 7 7 7 nan
nan 2 3 3 4 5 6 7 7 7 6 6 6 6 7 9 10 11 10 8 7 6 6 6 7 8 8 8 8 9 9 9 8 8 8 9 8 8 6 5 5 6 6 6 7 8 10 10 10 10 9 9 9 10 11 11 12 12 11 10 10 9 8 8 9 11 12 12 11 10 10 11 12 12 13 13 13 13 12 12 12 13 13 14 14 15 15 14 13 13 13 13 14 14 13 13 13 13 13 13 13 12 11 10 10 11 12 12 12 12 12 11 11 10 10 10 11 12 12 11 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 6 5 7 9 11 11 10 9 8 8 10 12 13 13 11 11 10 10 9 8 8 7 7 7 8 8 8 8 7 6 6 nan
nan 4 4 4 4 5 6 7 7 7 7 6 6 6 6 8 9 9 9 8 8 7 7 6 6 7 8 8 9 10 10 10 9 7 8 9 9 9 8 6 5 6 7 7 6 7 9 10 11 11 10 10 10 10 11 13 14 14 14 14 13 13 12 10 10 11 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 15 14 13 12 12 13 13 12 12 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 11 11 11 10 9 9 8 8 8 9 9 9 9 8 8 8 8 7 7 8 8 7 7 7 7 6 6 5 6 7 6 6 8 10 11 11 11 10 9 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 8 8 8 7 7 nan
nan 6 6 5 5 6 6 7 6 6 7 7 7 6 6 6 7 7 8 7 7 8 8 8 7 6 7 8 8 9 10 11 9 8 7 8 9 9 9 7 6 6 8 8 7 7 8 9 10 11 11 10 10 10 11 13 14 14 14 14 14 15 15 13 12 11 11 12 12 13 12 11 11 10 10 11 11 10 10 9 9 9 10 11 11 11 11 12 12 12 12 11 11 12 12 12 11 11 11 12 13 13 13 13 13 12 12 11 10 10 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 6 6 6 7 8 8 8 9 10 10 10 9 9 8 7 6 6 7 8 9 9 9 8 8 8 8 8 9 8 7 6 7 8 9 9 8 nan
nan 8 8 7 6 6 6 6 6 6 6 7 7 7 6 5 5 6 6 6 6 7 8 8 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 8 7 6 8 9 9 8 8 8 9 10 11 11 11 11 11 12 13 12 12 12 12 13 15 14 13 12 11 11 11 11 11 10 8 8 9 10 10 9 8 7 7 8 9 10 9 10 10 11 11 11 10 10 10 10 11 11 10 10 11 11 12 12 12 12 12 11 10 10 10 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 10 11 11 11 10 9 8 7 7 8 8 7 6 6 7 8 9 8 8 7 7 7 7 7 7 7 8 9 10 9 9 8 7 7 7 8 6 5 4 4 5 7 8 9 9 8 7 7 7 7 7 7 6 6 7 9 10 10 9 nan
nan 10 9 9 8 7 7 7 6 5 5 6 7 7 7 6 5 5 5 6 6 7 7 7 7 6 6 6 6 7 8 9 10 10 10 9 9 8 9 9 8 7 7 8 8 9 10 10 9 10 10 10 10 10 11 12 11 11 11 11 11 11 12 13 12 12 11 10 11 11 10 9 7 7 8 9 9 8 7 6 6 7 8 9 8 9 10 10 10 9 9 9 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 10 8 7 7 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 9 8 7 7 6 6 6 6 6 5 4 3 4 6 8 9 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 nan
nan 10 10 10 10 9 8 7 6 5 5 5 6 7 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 10 10 9 8 9 9 9 8 7 7 7 9 11 12 10 9 9 8 8 8 8 9 9 9 9 10 11 10 10 10 10 10 9 9 9 9 9 8 7 6 7 8 8 8 6 5 6 7 7 8 8 8 9 9 9 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 11 11 11 11 11 10 9 8 8 8 8 8 8 9 9 9 10 11 12 12 10 8 7 7 7 7 7 8 9 10 11 11 11 10 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 6 5 5 6 8 8 7 7 8 9 8 7 7 6 6 7 7 7 8 8 8 nan
nan 10 11 11 11 11 10 9 7 6 5 5 5 6 7 7 7 6 6 6 6 7 7 6 6 6 7 7 7 8 8 9 9 9 10 10 10 9 9 9 9 8 8 7 8 9 11 11 10 8 7 6 5 5 5 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 7 6 5 6 6 7 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 10 10 10 10 10 11 10 10 9 9 8 8 8 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 11 12 11 9 8 8 8 8 7 7 8 8 9 10 10 10 9 9 10 10 9 8 7 7 7 6 5 5 6 7 7 7 7 7 8 8 7 7 8 8 7 6 7 8 9 8 8 7 7 7 7 8 8 9 9 9 nan
nan 11 11 12 12 12 11 11 9 8 7 6 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 11 10 10 9 8 8 9 9 8 8 9 10 9 9 8 6 5 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 10 11 11 10 10 10 10 10 10 9 9 9 8 8 9 10 9 8 8 9 9 10 9 7 7 7 7 8 8 8 8 8 9 10 10 9 8 8 8 8 8 7 6 6 7 7 6 6 7 8 9 9 9 9 9 8 7 6 7 8 8 8 8 8 9 9 9 10 10 10 10 nan
nan 11 11 12 12 13 12 12 11 10 8 7 6 6 7 7 7 7 7 7 7 6 6 7 8 9 11 12 13 13 12 12 11 10 11 11 12 11 9 8 8 9 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 6 5 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 7 7 7 7 8 7 8 8 9 10 8 7 6 7 7 8 8 8 7 7 8 9 9 9 8 9 10 11 10 8 8 7 7 6 5 6 7 8 9 9 9 10 10 9 7 6 6 7 8 8 8 8 9 10 10 10 10 10 10 nan
nan 11 11 12 12 12 13 12 12 11 9 8 7 6 7 7 7 8 8 7 7 6 5 6 8 10 12 14 14 14 13 12 11 11 11 12 13 12 11 9 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 8 7 6 5 4 4 5 5 5 5 5 5 6 7 8 9 9 8 8 8 8 8 8 9 8 8 6 6 6 6 7 8 9 9 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 10 10 10 9 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 9 8 7 6 6 7 8 9 8 8 7 7 8 8 8 9 10 11 11 10 9 9 8 7 6 6 7 8 9 9 8 8 9 10 8 5 5 5 6 7 7 7 8 8 9 9 9 9 9 9 nan
nan 10 10 10 11 11 12 12 12 11 10 8 7 7 7 7 8 8 9 9 8 7 6 6 8 10 11 12 13 13 12 11 10 10 11 12 13 13 12 11 9 8 8 8 8 9 10 10 9 7 7 7 7 6 6 6 7 7 7 6 6 6 7 7 7 6 6 6 6 7 9 9 9 9 8 8 9 10 10 10 9 7 6 5 5 5 6 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 9 9 9 9 10 9 9 8 8 9 8 7 7 7 7 8 8 8 8 7 7 7 8 9 9 10 11 10 9 8 8 8 8 7 7 7 8 8 8 7 7 8 8 5 3 4 4 5 6 6 7 8 8 8 7 7 7 7 7 nan
nan 8 8 8 9 10 11 11 11 10 10 9 8 7 7 8 9 10 10 11 10 8 8 8 8 9 9 10 10 11 11 10 10 10 11 11 12 12 11 11 10 9 8 8 8 9 10 11 9 6 6 7 7 7 7 7 7 7 6 6 7 8 9 9 9 8 8 7 7 8 8 9 9 8 8 9 10 11 12 11 10 8 7 5 5 5 6 8 9 9 8 8 7 8 8 8 9 9 9 9 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 11 11 11 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 7 7 7 7 7 7 6 6 7 6 4 3 3 4 5 6 6 7 7 7 7 7 6 6 5 5 nan
nan 7 7 7 8 8 9 10 10 10 10 10 9 9 8 9 10 11 12 12 12 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 9 8 9 9 10 11 9 7 6 6 7 8 8 8 8 7 5 5 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 10 12 13 13 12 11 9 7 6 5 6 7 8 9 9 8 8 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 11 11 10 11 11 10 9 9 9 9 9 8 8 8 9 8 8 9 10 9 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 4 4 4 4 5 5 6 6 6 6 7 7 6 6 6 6 nan
nan 8 7 6 7 7 8 9 10 11 11 11 11 11 10 10 11 11 12 12 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 10 7 6 7 8 9 10 11 9 7 5 4 4 5 6 7 8 9 10 10 10 10 9 8 8 8 9 11 13 15 14 12 10 8 7 6 6 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 10 10 10 10 10 10 10 11 11 10 10 10 10 11 10 10 9 9 9 8 8 8 10 10 9 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 6 5 4 3 4 4 5 5 5 5 6 7 6 6 6 7 7 nan
nan 9 8 7 7 7 8 8 9 10 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 10 9 9 9 10 10 10 11 10 10 10 10 11 10 10 10 10 10 9 9 9 10 11 10 8 7 8 9 10 12 13 11 8 6 4 4 5 5 6 8 9 10 10 10 10 10 9 9 9 10 12 14 15 13 11 9 7 7 7 8 8 8 8 8 7 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 12 12 11 10 9 9 9 8 7 8 9 10 10 10 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 7 7 6 5 4 3 4 4 5 5 5 6 6 6 6 6 6 7 nan
nan 10 10 9 9 9 9 9 10 11 12 13 13 13 12 11 10 10 10 10 10 10 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 10 10 11 11 10 9 9 10 11 13 13 11 9 7 6 6 6 6 5 6 8 9 9 9 10 10 9 9 9 10 12 14 13 11 9 8 6 6 7 8 8 8 6 5 5 6 7 7 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 8 8 8 8 7 7 6 4 4 4 5 5 5 5 5 5 5 5 6 7 nan
nan 11 11 10 10 10 11 11 11 12 12 12 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 11 11 12 12 10 9 8 7 7 8 7 6 6 7 8 9 9 9 9 9 9 9 10 12 12 12 10 9 7 6 5 5 6 6 6 5 4 4 4 6 7 7 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 10 11 10 10 9 9 8 8 8 7 6 5 4 5 5 6 5 5 5 5 5 6 7 nan
nan 11 11 11 12 12 12 12 12 12 12 12 13 13 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 9 9 9 9 9 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 9 10 11 11 11 9 8 7 6 6 6 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 6 7 7 8 9 10 11 11 11 11 11 11 10 9 9 8 7 6 5 5 6 6 5 6 6 6 6 6 7 nan
nan 10 11 11 12 12 12 11 12 12 12 13 13 13 12 10 9 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 9 10 11 11 10 9 8 8 7 7 7 7 7 7 7 8 9 10 11 10 8 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 7 8 9 9 10 10 11 11 11 12 12 12 11 10 10 9 8 7 6 6 6 6 7 7 7 7 7 7 nan
nan 10 10 10 11 10 11 11 11 12 13 13 13 12 11 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 11 11 11 12 12 12 12 12 11 10 11 11 12 11 11 9 8 7 7 7 7 7 7 7 6 7 8 9 11 10 8 6 6 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 7 8 9 9 8 8 8 8 8 9 9 9 9 9 10 11 11 11 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 10 11 11 12 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 nan
nan 10 9 9 9 9 10 10 11 11 11 11 11 10 9 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 9 10 11 12 12 12 12 13 12 12 11 12 12 12 12 12 11 11 10 9 9 8 8 8 7 7 6 6 7 9 10 9 8 7 6 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 10 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 9 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 10 10 10 11 11 12 12 12 12 11 10 10 10 9 10 10 9 8 nan
nan 9 9 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 11 11 12 12 12 13 13 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 7 6 6 7 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 7 8 8 8 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 11 11 10 9 9 9 10 11 11 11 10 9 9 9 9 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 9 9 10 10 11 12 12 12 12 11 9 9 9 10 9 9 nan
nan 9 9 9 9 7 6 5 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 7 7 8 9 9 9 9 10 10 11 12 13 13 13 12 11 10 10 10 11 11 11 11 10 10 9 9 8 7 7 7 7 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 9 9 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 9 8 9 10 11 11 10 9 9 9 9 9 9 8 8 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 12 12 11 9 8 8 8 9 8 nan
nan 8 9 10 9 8 6 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 7 6 7 7 8 8 9 8 8 8 9 10 11 12 13 13 12 11 10 9 9 10 11 11 11 10 9 9 9 9 8 8 7 6 6 5 6 6 8 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 6 5 5 6 6 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 9 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 11 10 9 8 7 7 8 8 nan
nan 9 9 9 9 8 7 6 5 5 5 5 6 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 10 11 12 12 12 12 10 9 9 10 11 12 11 10 9 8 8 8 9 8 7 6 6 6 7 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 10 10 10 9 9 8 8 8 8 nan
nan 10 10 9 9 9 8 8 8 8 7 5 6 7 8 7 6 5 5 6 6 7 7 7 7 6 6 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 10 11 12 12 12 11 10 10 11 12 13 12 10 8 8 8 9 9 9 7 6 6 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 7 7 7 8 8 8 9 9 9 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 10 10 11 11 13 13 13 13 13 12 11 10 10 10 10 10 10 10 9 9 9 8 nan
nan 12 11 11 10 10 10 10 10 9 7 5 5 7 8 8 7 6 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 10 11 11 12 12 12 11 11 12 12 12 11 10 9 9 9 10 10 10 8 7 8 9 9 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 8 7 7 7 8 9 10 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 9 10 10 10 11 10 10 10 10 11 11 12 12 13 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 9 nan
nan 14 13 13 13 13 12 12 11 10 8 6 5 7 8 9 8 7 6 5 5 5 6 6 6 6 5 5 5 5 6 6 6 7 7 7 8 8 8 7 7 7 6 6 7 7 7 8 8 8 7 8 8 8 8 9 10 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 10 9 9 10 10 11 11 11 11 10 10 9 9 10 9 9 9 9 9 9 9 9 10 9 9 8 7 7 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 6 6 6 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 13 14 14 15 14 12 11 9 9 9 9 9 9 9 nan
nan 16 15 14 14 13 12 11 10 9 7 6 6 7 8 9 10 9 8 7 6 6 6 6 6 6 6 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 11 10 9 10 10 11 11 11 11 11 10 10 9 10 11 12 12 13 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 7 7 6 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 10 10 9 9 9 10 9 10 10 10 10 10 11 12 13 14 14 13 11 10 8 8 8 8 8 9 nan
nan 17 16 14 13 10 9 8 8 7 7 7 7 8 9 10 11 10 9 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 10 11 11 11 10 9 9 9 9 8 8 8 8 9 9 9 10 11 11 11 11 10 10 10 11 12 12 11 11 10 10 9 10 10 11 11 12 12 12 12 11 10 10 11 11 11 10 10 9 9 9 9 9 9 9 8 7 7 7 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 7 7 8 7 7 7 8 8 8 8 9 9 9 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 11 12 13 12 10 9 8 7 7 8 8 nan
nan 15 14 13 10 8 6 7 7 8 8 9 9 10 11 12 11 9 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 10 11 12 13 14 13 12 11 10 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 11 12 12 11 10 10 9 9 10 11 11 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 9 8 8 8 9 9 10 10 10 10 9 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 9 10 12 12 11 10 9 8 7 7 7 nan
nan 13 12 11 8 6 6 6 7 8 10 11 12 12 12 11 10 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 10 12 13 14 15 15 14 13 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 11 12 12 12 11 10 9 8 8 8 8 8 7 8 9 10 10 10 9 9 9 9 9 9 8 8 8 8 9 8 7 8 8 8 8 8 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 9 8 9 9 9 9 10 9 10 10 11 11 12 12 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 11 11 11 10 9 9 8 7 nan
nan 11 11 9 8 7 6 6 7 9 11 12 13 11 10 9 9 8 8 7 7 7 6 6 6 6 5 5 6 6 6 7 7 8 8 9 9 10 11 13 14 16 16 15 14 13 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 11 11 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 10 11 10 10 9 9 10 10 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 10 10 10 10 10 11 11 10 10 10 11 12 13 14 13 12 11 11 10 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 11 11 10 10 9 8 nan
nan 9 9 9 9 8 8 8 8 9 11 12 11 8 8 8 9 9 9 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 11 13 14 15 14 14 13 12 11 11 10 9 9 9 9 9 8 8 8 8 9 9 10 10 11 10 10 10 10 11 11 11 10 10 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 8 9 9 9 9 8 9 9 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 11 12 12 11 11 11 12 13 14 14 13 12 11 10 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 8 7 8 9 9 10 10 10 9 nan
nan 8 9 9 10 10 10 10 10 11 12 11 9 7 7 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 11 12 13 13 12 12 12 11 11 11 10 9 9 9 9 9 8 7 7 7 8 9 9 10 10 9 9 9 9 9 10 10 9 8 8 7 7 7 8 9 10 9 9 9 10 10 10 10 9 8 7 8 9 11 11 10 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 8 9 9 9 8 9 9 10 11 12 12 12 12 11 11 12 13 13 12 12 10 9 9 8 8 8 9 9 9 9 9 9 8 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 9 9 9 9 nan
nan 9 9 9 10 10 11 11 11 12 12 11 8 7 8 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 8 8 7 7 7 8 8 8 9 8 8 8 8 8 9 9 9 9 8 8 8 7 8 9 10 11 11 10 9 10 10 10 10 9 8 8 9 10 11 11 10 9 9 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 8 9 9 8 8 8 9 10 10 11 11 12 12 12 12 12 11 11 11 12 11 10 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 9 9 8 9 9 9 9 9 10 11 10 9 8 9 10 10 10 8 8 8 7 7 7 8 8 9 10 10 9 9 8 7 7 8 8 8 9 9 10 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 10 12 12 11 10 10 10 10 10 10 9 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 5 6 7 8 8 9 9 9 10 10 10 10 10 10 11 11 12 12 11 11 10 10 11 10 9 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 9 9 9 9 8 7 7 7 nan
nan 8 7 7 7 7 8 8 8 9 9 10 9 9 10 10 10 9 8 8 7 7 7 6 7 7 8 9 10 9 9 8 7 8 8 8 8 8 8 9 10 11 12 12 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 10 10 9 9 9 10 10 11 10 9 9 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 8 7 7 7 6 5 4 4 4 6 7 8 9 10 11 11 11 10 9 9 9 10 10 11 12 12 11 10 10 10 10 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 nan
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nan 7 7 7 7 7 7 8 9 8 8 8 10 13 17 20 19 17 14 13 12 13 15 16 17 16 15 14 12 11 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 8 9 10 12 15 14 12 10 9 8 7 5 5 4 3 4 6 7 9 10 10 11 11 10 9 8 8 7 7 7 7 8 8 9 10 11 13 14 12 9 6 4 3 4 6 7 9 11 12 12 11 10 10 10 10 6 2 1 2 5 7 8 8 9 9 9 8 8 8 8 8 9 9 nan
nan 6 6 5 5 5 6 8 9 8 8 9 10 13 16 19 19 17 15 14 14 15 16 17 17 16 15 13 12 10 10 10 10 10 10 11 12 13 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 11 11 11 11 11 10 9 8 9 11 14 14 13 11 9 8 7 6 4 3 1 1 2 5 9 10 10 10 10 9 9 8 7 7 7 8 8 7 7 8 9 10 12 14 13 11 9 7 6 5 5 6 7 9 11 11 11 11 10 11 10 7 3 2 3 5 7 7 8 8 9 9 9 9 8 8 8 9 9 nan
nan 5 5 4 4 5 6 7 8 9 9 10 10 11 14 16 16 16 15 15 16 17 17 17 17 16 14 12 11 10 10 9 10 10 11 12 13 13 12 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 10 11 11 11 11 11 10 9 9 8 10 13 14 13 12 10 8 7 7 6 4 1 -1 -1 3 7 9 10 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 10 12 12 13 13 12 10 9 8 7 8 9 10 10 11 11 11 11 10 8 5 3 4 5 7 8 8 8 8 8 8 8 9 9 9 9 10 nan
nan 6 6 5 5 6 7 8 9 10 10 10 9 10 11 12 14 15 16 17 18 18 18 17 16 14 13 12 11 10 10 9 10 10 11 12 12 13 12 12 11 10 11 11 11 12 13 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 9 9 9 9 9 8 9 10 10 10 10 9 9 9 10 11 11 11 10 9 9 10 10 11 11 11 10 9 9 10 10 11 11 11 10 10 10 9 8 9 12 13 14 13 10 8 8 7 7 6 3 0 -1 1 5 8 9 9 9 9 9 9 9 8 8 9 9 9 10 10 9 9 9 10 11 13 16 16 14 12 11 10 10 10 11 11 11 11 11 11 10 9 7 4 4 6 8 9 10 9 9 8 8 8 9 9 10 10 11 nan
nan 7 7 7 8 9 10 10 11 11 10 10 9 9 10 11 12 14 17 18 19 19 19 17 15 13 11 10 10 10 10 9 10 10 10 11 11 12 12 11 10 10 10 11 12 13 14 15 15 15 15 15 15 15 15 14 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 12 12 11 10 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 9 11 12 14 13 11 9 8 8 7 7 6 3 0 0 3 6 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 13 15 16 16 15 13 12 11 11 11 11 11 11 11 11 11 10 9 6 4 4 7 10 11 11 10 9 9 8 9 9 10 10 11 nan
nan 7 8 9 10 11 12 13 12 12 11 10 9 9 9 10 11 14 17 19 20 20 19 17 14 12 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 11 11 13 14 15 16 16 16 15 15 15 15 15 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 12 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 12 13 14 11 10 8 8 8 8 7 5 2 0 2 5 7 8 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 13 14 15 15 14 12 12 11 11 11 11 11 11 11 11 11 10 8 5 4 5 8 11 11 10 10 9 9 9 9 9 9 10 nan
nan 7 8 10 11 12 13 13 12 12 11 10 9 9 9 9 11 13 17 19 20 21 19 16 14 12 10 9 8 8 9 10 11 11 11 11 10 11 11 10 10 10 11 12 13 14 15 15 15 15 15 15 15 14 14 14 13 13 13 12 12 12 12 11 11 11 11 12 12 12 11 11 11 10 10 9 9 8 8 9 10 10 9 9 9 10 10 10 9 9 9 10 11 11 11 11 10 10 10 11 11 11 10 10 9 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 13 11 10 9 8 8 8 7 6 3 0 0 3 6 8 8 8 8 9 9 10 10 10 10 10 9 10 10 10 10 11 11 10 10 11 13 14 14 12 11 11 11 11 11 11 10 10 11 12 12 11 7 4 4 6 8 9 10 9 9 9 9 8 7 6 7 nan
nan 8 8 9 11 12 12 12 12 11 10 10 9 9 9 9 10 12 14 17 20 21 20 17 14 12 10 9 8 8 8 9 10 11 12 11 11 10 10 10 10 11 11 12 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 8 9 10 10 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 11 12 12 10 9 8 8 8 8 7 4 1 0 3 7 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 12 13 13 12 11 11 11 11 11 11 10 11 11 12 12 12 9 5 3 4 7 9 9 8 8 8 8 8 6 4 5 nan
nan 8 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 10 12 16 19 22 22 19 16 13 10 8 7 7 8 8 10 11 11 11 11 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 9 10 11 11 11 11 10 9 9 9 10 10 11 11 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 9 11 12 12 10 9 8 8 8 8 5 2 1 2 6 9 10 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 11 11 11 12 13 12 11 11 11 11 11 11 11 11 11 11 11 12 13 10 6 3 4 8 11 10 8 7 7 7 7 6 4 4 nan
nan 9 9 10 10 10 10 10 10 9 9 8 8 9 9 9 9 10 11 14 18 22 22 20 17 14 11 8 7 7 7 8 9 10 10 10 11 11 11 11 12 12 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 11 11 11 10 10 9 10 11 12 12 11 10 10 10 10 10 9 9 10 10 10 9 9 8 8 8 8 9 9 9 9 9 10 11 11 10 7 6 6 8 10 12 12 11 9 8 9 9 7 4 1 -0 2 6 8 10 9 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 10 11 12 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 10 7 5 6 10 13 13 9 7 6 6 6 5 4 4 nan
nan 10 10 10 10 11 11 11 10 9 8 8 8 8 9 9 9 9 10 14 18 21 22 21 18 15 12 9 7 7 7 8 9 9 9 10 11 11 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 9 9 9 10 10 12 14 14 13 10 6 5 8 11 14 13 11 9 9 9 8 6 3 -1 -1 2 5 7 6 5 6 8 10 9 9 8 9 9 10 10 11 11 12 11 11 11 12 13 12 12 12 12 12 12 11 11 11 11 10 11 11 11 10 9 8 9 12 13 12 9 7 6 6 6 5 4 4 nan
nan 11 11 11 11 12 12 12 11 9 8 8 8 8 9 9 10 9 10 12 17 20 22 22 20 17 13 10 8 8 8 8 9 9 9 9 10 12 13 14 14 14 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 9 10 10 10 10 10 10 9 9 8 7 7 8 9 9 9 10 10 11 13 14 15 14 9 5 6 9 13 14 12 11 10 10 10 8 6 3 1 2 3 4 3 3 5 8 9 9 8 8 9 9 10 10 10 11 11 10 10 11 12 13 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 10 11 12 13 12 10 8 7 7 6 6 6 5 5 nan
nan 11 11 11 11 12 12 12 11 9 8 8 8 9 10 10 10 9 9 11 15 19 22 23 21 17 14 11 10 9 9 9 9 9 9 10 10 12 13 14 14 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 9 8 8 9 10 10 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 11 13 16 17 14 9 6 6 8 10 10 10 10 10 10 10 10 8 6 5 4 2 0 1 3 6 8 9 9 9 9 9 10 10 10 10 10 9 8 9 11 11 12 12 12 12 12 12 12 12 11 11 11 10 9 8 7 9 11 12 12 11 9 8 8 8 7 7 6 5 6 nan
nan 12 11 11 11 12 12 12 11 10 9 9 9 9 9 9 9 8 8 10 14 18 21 23 22 19 16 13 12 11 11 10 10 10 10 11 11 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 12 12 11 11 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 9 8 8 8 9 10 10 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 11 12 16 20 19 15 11 6 5 6 7 9 10 10 11 11 11 10 9 8 7 4 0 -1 -0 2 4 7 9 10 10 10 10 10 11 10 9 7 5 5 7 9 11 11 12 12 12 12 12 12 11 11 11 11 10 8 7 8 9 10 11 10 9 9 8 8 8 8 7 7 7 nan
nan 12 11 11 11 12 12 12 11 10 9 9 9 9 9 9 9 7 7 10 13 17 21 23 22 20 18 15 13 11 10 10 10 11 12 12 13 14 13 12 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 12 12 11 11 10 10 9 9 10 10 10 10 10 10 9 9 10 11 10 9 8 8 9 10 10 10 10 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 10 11 14 18 19 19 16 11 8 7 7 7 9 10 10 11 11 11 11 10 9 7 4 1 -2 -3 -0 4 7 9 9 9 10 10 10 10 8 6 5 5 7 9 10 11 11 11 11 11 11 11 12 12 13 13 12 10 9 8 9 9 9 9 9 9 8 8 8 9 9 10 10 nan
nan 12 12 12 12 13 13 13 12 10 9 9 9 9 9 9 9 8 7 10 13 17 20 23 23 21 19 16 13 10 8 8 9 11 12 14 15 14 13 12 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 13 16 18 19 18 14 12 11 10 10 10 11 11 11 11 11 11 11 10 8 5 1 -3 -3 1 5 8 9 8 8 7 7 7 6 6 6 7 8 9 10 11 11 11 11 11 11 11 12 13 15 16 16 14 13 11 10 10 9 9 9 8 8 9 9 10 11 11 12 nan
nan 14 13 13 13 13 14 13 12 11 10 10 10 10 10 10 9 8 8 10 13 17 20 23 23 21 19 16 13 10 8 8 9 11 13 15 15 14 13 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 8 7 8 8 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 16 20 22 21 20 19 18 16 15 15 13 12 12 12 12 12 11 11 9 4 -0 -2 -1 3 7 8 7 6 4 4 5 6 7 8 8 9 10 10 11 11 11 12 13 13 13 13 14 16 17 18 17 15 14 12 11 10 9 8 8 8 9 10 11 11 10 10 nan
nan 14 13 13 13 14 13 12 11 11 10 10 10 10 10 10 9 8 9 11 14 18 21 23 23 21 20 17 13 11 10 9 10 12 13 15 15 14 12 11 10 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 13 17 21 23 24 23 23 22 21 20 17 15 14 14 13 13 12 12 11 9 4 1 -1 2 6 8 8 7 5 5 6 7 8 10 10 11 11 11 12 13 14 14 14 14 14 13 12 12 13 14 15 14 13 12 11 10 10 9 8 8 9 10 10 10 9 9 nan
nan 14 13 13 13 14 13 12 11 10 10 10 10 10 10 10 9 9 9 12 15 19 22 23 23 22 20 17 14 12 11 11 11 12 14 14 14 13 12 11 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 10 9 8 8 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 12 14 16 19 20 20 21 21 22 21 20 20 20 20 19 17 15 14 13 12 10 7 8 11 12 13 12 10 9 9 10 11 13 14 14 12 11 12 12 12 12 11 11 10 8 7 7 9 12 14 14 13 13 12 12 11 11 9 9 9 9 10 9 8 8 nan
nan 14 14 14 14 13 13 11 11 10 9 9 10 10 10 10 10 10 10 12 15 19 22 24 23 22 19 17 15 13 12 12 12 13 14 14 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 11 13 15 15 16 18 21 23 24 24 25 26 26 24 22 20 19 19 18 17 17 17 18 19 18 17 16 15 13 13 12 12 12 11 10 9 9 9 8 7 6 6 5 5 6 8 13 16 17 17 16 15 14 14 13 12 10 9 9 9 9 9 8 nan
nan 15 15 14 14 13 12 10 10 9 9 9 10 10 11 11 10 10 11 12 15 19 21 22 22 20 18 17 15 13 13 13 13 14 14 14 13 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 7 7 7 7 8 9 9 10 11 11 12 12 14 18 20 20 20 21 23 25 26 26 24 22 20 18 17 17 17 18 18 19 18 18 17 14 12 10 9 9 10 9 9 10 10 10 10 9 9 9 9 9 11 14 16 17 17 17 16 15 14 14 14 13 11 10 9 9 9 9 nan
nan 16 15 14 13 12 10 9 9 9 9 10 10 11 11 11 11 11 11 13 16 18 20 20 20 18 17 16 15 14 13 14 14 14 14 13 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 10 10 9 9 9 9 8 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 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 9 8 8 8 7 7 8 8 9 10 10 10 11 11 11 11 12 13 14 13 13 13 14 17 18 19 20 19 17 15 13 12 12 13 14 14 14 14 15 15 13 12 12 13 13 13 13 13 14 15 15 15 14 13 12 11 11 11 12 13 13 14 14 13 13 13 13 14 13 12 11 10 10 10 nan
nan 16 15 13 12 11 9 9 9 9 10 10 11 11 11 11 11 11 12 13 15 17 18 19 18 17 16 15 14 14 14 13 13 14 14 14 13 13 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 10 10 9 8 8 9 10 9 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 9 10 10 11 11 12 13 14 13 12 11 10 10 11 11 11 11 13 14 15 14 14 15 16 15 14 13 13 14 14 14 14 13 12 11 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 13 nan
nan 15 14 12 10 10 9 9 9 10 10 10 11 11 11 11 11 12 12 13 15 16 17 17 16 16 15 14 14 14 13 13 12 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 9 9 11 11 10 9 8 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 7 7 8 8 9 9 10 11 11 11 10 9 7 6 5 6 7 9 10 10 10 10 9 9 9 9 10 11 11 12 12 10 9 9 9 10 10 10 10 12 12 12 12 13 13 13 12 11 10 11 11 11 11 10 10 9 9 9 8 8 9 9 9 9 8 8 8 8 9 10 11 11 12 13 nan
nan 13 12 10 9 9 9 9 10 10 10 11 11 11 11 11 12 12 13 14 15 15 16 15 15 14 14 13 13 13 12 12 12 12 12 13 13 13 12 11 11 10 9 9 10 10 11 11 10 11 11 10 11 11 11 10 9 9 9 9 10 11 11 12 11 11 10 9 10 11 11 11 9 8 8 9 10 11 11 11 10 10 9 10 10 10 11 11 10 9 8 8 8 8 8 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 11 12 13 12 10 8 6 4 2 0 -0 1 3 5 7 9 10 10 9 9 9 9 10 12 12 11 8 5 5 6 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 10 nan
nan 12 10 9 9 9 9 10 11 11 11 11 11 11 11 12 12 13 14 14 15 15 14 14 13 13 13 12 12 12 11 11 11 12 12 13 13 13 12 11 10 9 9 9 10 10 11 11 11 10 10 10 11 11 10 10 9 9 9 9 10 11 12 12 11 11 10 10 10 11 11 10 9 9 9 10 11 11 12 12 10 8 8 8 8 9 10 12 12 10 8 7 6 6 4 3 3 4 6 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 11 12 12 11 10 8 7 6 4 1 -1 -2 -2 -1 1 3 6 7 7 6 6 7 9 12 13 11 6 2 -0 2 7 9 10 10 10 10 10 10 10 10 10 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 nan
nan 10 10 9 9 9 10 11 11 11 11 11 11 11 12 12 13 14 15 15 16 15 14 13 12 12 12 12 12 11 11 11 11 12 12 12 13 13 12 11 10 9 9 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 8 8 9 10 11 12 11 11 10 9 9 10 10 10 9 9 10 10 11 12 13 13 12 9 6 5 4 5 7 9 12 13 13 10 8 5 2 0 -1 -2 -0 3 5 7 8 9 9 10 10 10 10 10 10 8 7 6 6 6 7 7 8 9 9 9 9 9 9 8 7 6 3 1 0 -0 0 2 4 4 3 3 3 6 10 12 10 7 1 -2 0 4 8 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 9 9 8 8 nan
nan 11 10 10 10 10 10 11 11 11 11 11 12 12 12 13 14 15 16 17 17 16 15 13 12 11 11 11 11 12 12 12 12 12 12 12 13 13 12 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 15 16 14 10 7 3 0 1 4 7 12 14 14 11 7 4 2 -0 -3 -3 -2 -1 1 2 3 4 6 8 10 11 12 11 9 6 3 1 1 1 2 2 3 5 6 8 9 10 11 11 11 10 8 6 4 3 4 5 5 4 4 3 5 8 10 10 8 4 1 3 5 8 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 nan
nan 11 11 11 10 10 11 11 11 11 11 11 11 12 12 13 14 16 18 19 18 17 15 13 12 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 10 10 12 15 18 19 18 15 10 4 1 0 2 7 11 13 12 10 7 5 3 1 -1 -1 -2 -2 -2 -3 -2 -1 1 4 8 12 14 13 10 6 2 -0 -1 -1 -0 0 1 3 4 7 9 10 11 12 12 12 11 9 8 8 8 8 8 8 7 7 8 9 8 7 6 6 7 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 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
360 295 244 242 217 223 273 313 315 295 278 285 296 274 243 232 242 254 250 247 248 251 252 248 241 237 232 231 232 231 235 248 250 243 233 227 231 244 259 267 265 247 232 219 206 200 206 221 224 218 200 190 195 209 220 226 220 205 189 177 176 184 188 197 214 222 224 230 243 255 252 255 248 253 262 258 236 211 185 165 159 167 170 155 156 139 140 126 110 99 92 85 103 107 103 105 109 111 116 114 64 52 61 72 77 78 80 76 61 40 26 29 48 69 101 144 167 184 206 235 268 281 255 231 199 165 142 163 255 287 219 164 151 139 93 33 24 11 3 1 1 1 0 0 0 0 0 0 1 1 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 0 0
337 268 199 171 144 138 158 201 245 270 271 267 279 281 260 241 241 254 253 256 268 277 274 259 245 251 248 246 249 245 239 235 230 224 218 217 225 239 250 253 249 231 225 228 233 240 252 261 252 250 228 205 198 208 226 243 246 235 218 200 193 201 206 217 239 250 243 240 260 291 292 302 302 312 325 329 317 296 264 239 218 213 215 205 194 173 150 136 125 111 102 104 95 101 119 143 168 191 205 184 122 117 128 135 140 146 153 157 147 123 100 98 124 151 184 222 245 265 305 362 381 379 372 348 301 221 148 162 247 232 167 111 77 58 45 26 19 9 3 1 1 1 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
224 188 159 148 145 129 119 134 173 218 247 243 239 265 277 270 261 260 264 287 327 354 352 321 287 287 279 268 264 259 249 236 221 212 205 210 222 236 244 245 241 225 220 233 254 270 278 283 276 283 265 238 220 217 227 249 261 258 248 234 229 239 239 246 267 285 273 257 276 320 343 359 368 380 394 404 409 409 382 364 350 337 322 301 283 263 227 200 179 160 147 162 160 160 171 184 184 183 218 180 167 189 219 239 247 249 248 245 233 223 218 220 235 261 281 311 335 359 396 439 448 440 407 405 396 328 221 176 169 145 97 49 20 14 18 15 9 4 1 0 1 1 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
115 100 106 123 138 139 132 135 157 201 245 247 226 255 314 348 346 323 306 319 362 382 377 335 286 283 278 267 256 245 237 228 215 207 198 208 223 236 241 239 236 229 222 228 247 265 279 302 294 296 286 268 251 243 250 261 271 267 261 258 259 263 265 272 290 317 313 294 307 348 389 415 439 463 482 491 487 470 439 418 407 395 374 356 350 348 315 278 247 224 209 216 214 205 203 203 195 183 198 188 204 243 285 317 333 334 330 316 303 307 321 334 338 351 312 348 405 428 403 370 338 280 334 383 356 263 164 107 93 85 54 21 7 5 8 6 4 1 0 1 1 0 0 0 0 0 1 2 2 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
75 62 60 66 78 98 123 149 179 221 264 273 247 266 335 391 407 387 361 344 355 339 310 271 243 251 253 245 235 230 228 225 219 209 200 209 225 237 239 236 239 248 239 222 227 252 276 284 278 281 279 273 269 278 294 295 302 293 285 285 288 291 296 314 333 357 359 345 349 374 407 440 470 488 490 472 438 393 351 315 290 276 270 271 280 286 265 242 227 220 212 205 208 218 217 209 206 211 222 234 250 279 313 347 378 388 377 357 338 332 343 360 348 338 303 347 374 337 278 276 324 373 364 305 218 129 70 52 54 57 37 12 3 1 2 2 1 0 1 2 2 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 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
62 55 47 40 36 45 86 144 194 238 275 287 252 224 226 262 319 375 407 389 356 310 267 234 219 223 226 223 224 235 231 216 209 212 208 211 220 229 233 234 239 249 250 232 227 242 255 245 237 243 245 249 267 296 318 314 321 324 329 339 351 357 353 380 401 421 422 404 384 374 385 392 386 363 327 289 264 231 191 148 109 84 79 95 113 115 115 123 138 149 153 148 148 157 156 150 148 153 162 175 206 244 283 321 352 363 337 296 251 208 177 173 192 203 225 267 288 279 271 298 329 316 240 149 81 43 26 34 41 41 27 11 3 0 0 0 0 0 2 3 2 0 0 0 0 0 0 1 1 2 1 1 1 1 3 2 2 2 1 0 0 0 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
51 50 48 42 32 27 68 135 193 241 274 279 257 240 248 277 316 357 391 388 356 305 273 257 246 233 220 212 212 225 232 224 209 211 215 213 213 220 230 236 235 241 255 246 230 225 233 228 207 204 210 230 254 273 281 275 287 304 320 335 351 367 370 399 418 426 407 364 320 297 286 263 225 185 151 129 126 108 77 46 22 9 6 10 13 16 19 20 27 46 62 50 41 32 33 41 46 52 62 71 114 155 188 213 214 190 154 120 91 60 35 36 61 83 114 155 203 242 255 284 262 191 106 44 16 13 12 9 17 19 15 9 5 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 1 2 2 3 3 3 4 4 3 2 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 41 47 52 50 44 69 129 186 226 247 253 252 248 246 248 260 282 309 335 337 328 313 287 257 235 223 214 218 231 229 210 191 196 209 214 213 219 230 241 248 259 266 251 234 233 244 240 198 182 189 205 211 202 186 179 190 202 210 212 213 221 230 257 274 268 236 188 150 146 141 122 97 77 69 68 68 57 36 15 3 0 0 0 0 1 1 1 1 1 0 0 2 2 0 0 1 3 8 6 22 44 62 67 55 28 15 11 9 7 4 6 10 19 31 51 85 131 173 207 164 87 34 13 3 5 8 5 4 5 6 6 5 2 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 2 3 4 4 5 6 5 3 2 1 1 2 4 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
27 34 41 51 60 58 61 108 151 184 207 220 225 228 237 238 256 273 281 297 313 308 288 270 260 255 250 232 230 230 229 218 201 190 199 211 217 216 212 218 240 261 260 248 240 242 243 228 196 180 173 166 150 123 99 93 98 97 90 80 68 59 58 72 82 79 65 44 31 35 37 36 32 30 34 43 51 46 31 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 1 0 0 0 0 0 0 0 1 3 7 18 43 96 105 68 25 3 0 0 0 2 1 1 1 1 1 2 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 2 3 4 3 4 6 6 5 4 3 2 3 5 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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