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 7 8 8 8 9 10 10 11 11 12 14 14 13 12 12 12 12 11 11 12 12 13 12 11 9 9 9 10 10 10 10 10 9 8 7 6 6 6 8 7 7 6 6 7 7 6 6 6 5 4 4 5 6 7 7 7 8 7 5 4 5 6 7 8 8 9 10 10 9 9 8 8 8 9 9 10 11 11 10 9 7 6 7 8 9 9 9 9 9 9 8 7 6 5 5 6 7 9 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 7 7 8 9 10 10 9 8 8 8 8 9 10 10 10 10 10 9 9 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 5 4 4 5 6 7 7 nan
nan 6 7 7 7 8 8 9 10 10 11 12 14 14 13 12 12 12 12 11 10 10 11 12 12 11 10 9 9 9 10 10 10 10 9 8 7 6 6 6 7 7 7 7 6 6 6 7 7 7 6 4 4 4 6 7 8 8 8 7 6 5 6 8 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 10 9 8 7 7 8 9 9 9 9 9 9 9 9 8 7 6 6 6 8 9 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 9 8 8 8 8 8 7 7 7 7 7 6 6 7 9 10 10 9 8 8 8 8 9 9 10 10 10 10 9 8 7 7 8 8 7 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 6 5 5 5 6 7 7 nan
nan 6 7 7 7 7 8 8 9 10 10 11 13 13 12 12 12 12 12 10 9 9 10 11 12 11 10 9 9 9 10 11 11 10 9 9 7 7 6 5 5 6 6 7 7 6 6 6 8 8 7 6 5 5 6 8 8 9 9 8 7 7 8 9 10 10 9 9 9 8 8 8 8 8 9 10 10 10 10 9 8 7 8 8 10 10 9 8 9 9 10 9 9 8 7 6 6 6 8 9 8 8 8 7 7 6 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 6 7 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 6 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 nan
nan 6 7 7 7 7 7 8 9 9 10 10 11 11 11 11 11 11 11 10 9 9 10 11 12 12 11 11 10 10 11 11 10 9 10 10 8 7 6 6 5 4 4 6 8 7 6 5 7 8 8 7 7 7 7 8 8 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 9 10 11 11 10 10 9 8 7 7 7 9 10 10 9 8 9 9 9 9 8 8 7 7 6 6 7 8 9 9 8 8 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 9 9 8 7 7 8 10 10 9 9 9 9 8 8 9 9 9 9 9 9 10 10 9 8 7 6 5 5 5 5 6 8 8 8 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 nan
nan 7 7 7 7 7 7 8 8 9 9 10 10 11 10 10 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 11 9 8 10 11 9 8 6 6 5 3 3 6 9 8 6 5 7 9 9 8 9 9 9 8 9 11 12 13 12 12 11 11 10 9 8 9 10 11 10 10 10 11 12 11 10 9 9 9 8 6 7 9 10 10 10 9 9 9 9 9 8 8 7 6 6 6 7 8 9 9 9 8 8 7 7 7 8 8 9 9 9 8 7 6 6 5 6 6 7 7 7 8 8 8 9 10 11 11 10 9 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 6 5 5 4 5 5 5 6 7 7 7 8 9 10 10 10 10 9 10 9 9 7 7 7 8 nan
nan 6 7 7 8 8 7 8 8 8 9 9 10 10 9 9 8 7 8 8 9 9 9 9 10 11 12 13 13 13 13 11 9 8 10 11 9 8 7 7 6 4 4 6 8 7 6 6 8 9 9 9 9 9 10 10 11 13 14 14 14 13 13 13 11 10 9 10 11 11 11 10 11 11 12 11 10 9 8 8 8 7 9 10 10 10 10 10 10 9 9 9 8 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 6 6 5 5 6 6 7 7 8 8 8 8 9 10 10 9 9 10 9 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 9 9 10 10 10 9 7 6 5 4 4 4 4 4 5 6 7 8 8 9 10 10 10 10 10 10 10 10 9 8 8 9 nan
nan 6 7 7 7 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 8 7 7 8 9 10 12 12 12 13 12 10 10 10 10 9 7 7 7 7 6 5 5 6 7 7 8 10 10 9 8 8 8 10 11 12 12 13 13 12 12 13 13 12 11 11 10 10 11 10 10 10 10 10 10 10 9 8 8 8 8 9 10 9 10 11 11 11 10 10 9 8 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 9 10 11 10 8 7 7 7 7 8 8 8 8 8 9 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 7 6 5 4 5 5 5 5 6 7 7 8 8 9 10 10 10 10 9 9 9 9 9 9 10 10 nan
nan 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 6 7 8 9 10 11 11 12 12 12 11 11 9 8 7 7 7 7 7 6 5 5 7 9 11 11 9 8 7 6 6 7 7 8 9 10 10 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 10 9 9 8 8 8 8 9 8 9 10 12 12 11 10 10 8 7 7 7 8 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 8 10 12 12 10 8 7 7 7 7 8 8 8 8 9 10 9 8 8 8 7 7 7 7 8 8 8 7 7 7 8 7 6 5 6 7 8 8 7 7 7 7 7 8 9 10 10 10 8 8 8 8 9 10 11 10 10 nan
nan 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 6 6 7 7 8 9 10 10 11 12 12 12 11 10 8 7 7 7 7 7 6 5 6 8 12 13 11 7 6 5 4 4 3 4 4 5 6 6 5 5 5 5 6 7 7 6 6 6 7 7 8 8 8 8 9 9 8 8 8 8 7 7 9 11 12 12 11 10 9 8 7 7 8 9 10 9 8 8 8 9 10 10 9 10 10 10 9 8 7 7 7 8 8 8 9 8 8 7 8 8 8 7 7 8 8 8 7 8 10 11 10 9 8 8 8 8 7 8 8 8 8 9 10 9 8 8 8 8 7 7 6 6 7 7 6 7 8 8 7 6 7 8 9 9 9 8 7 6 6 6 7 8 9 9 8 7 7 8 9 10 10 10 9 9 nan
nan 10 10 9 9 9 10 10 10 10 9 9 9 10 10 11 11 11 10 8 7 7 7 6 6 7 8 8 9 10 11 12 13 13 12 10 8 8 7 6 6 6 6 6 7 10 13 13 10 7 5 4 4 5 5 5 4 4 4 3 3 2 3 3 4 5 5 5 5 6 7 7 7 7 7 8 8 9 8 8 7 7 7 7 9 11 12 12 11 10 9 8 8 8 9 9 9 9 8 8 8 9 10 10 11 11 10 9 8 7 7 7 7 7 8 9 9 8 8 8 9 9 8 8 9 9 8 7 6 7 8 8 8 8 9 10 10 9 8 8 8 8 8 8 9 8 8 9 10 10 9 7 6 6 6 7 7 8 9 9 7 7 8 9 9 9 9 8 7 7 7 6 6 7 8 8 7 7 7 8 9 10 9 8 8 8 nan
nan 11 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 9 8 7 6 6 7 7 8 8 9 10 11 12 14 14 12 10 9 8 7 6 6 7 6 6 7 10 13 12 10 7 5 6 7 8 9 9 7 6 4 3 2 2 3 4 5 5 5 5 5 6 7 7 7 7 7 7 7 8 7 7 6 6 7 8 9 11 12 12 11 10 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 10 9 8 7 7 8 7 7 8 8 9 9 8 8 9 9 8 8 9 9 9 8 7 7 7 7 7 7 9 10 11 11 10 9 9 8 8 8 8 9 8 8 9 10 10 8 7 7 8 8 8 9 10 11 10 8 8 8 9 9 9 9 8 8 9 9 8 7 7 8 7 6 5 6 8 9 9 8 8 8 8 nan
nan 9 9 9 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 7 7 7 7 7 8 8 9 10 11 12 14 15 13 11 9 8 7 7 7 8 7 5 6 9 12 12 11 7 6 7 8 9 10 10 9 7 5 3 2 3 4 5 5 5 4 4 5 6 7 8 8 8 7 7 7 7 6 7 7 7 8 8 9 10 11 12 11 10 10 10 10 10 10 10 9 8 8 9 9 9 9 9 10 10 9 8 7 7 8 9 9 8 8 8 8 8 9 9 8 8 7 8 8 8 7 7 8 8 8 8 8 8 9 10 10 9 9 9 9 8 8 8 9 9 9 9 9 8 7 8 9 9 10 10 10 11 12 11 10 8 7 7 8 9 8 8 8 10 10 9 9 9 9 8 6 6 6 8 9 8 8 8 9 9 nan
nan 8 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 11 11 12 10 8 7 7 8 8 8 9 9 10 10 12 14 15 14 11 10 8 7 7 7 7 7 7 7 8 11 12 11 7 6 7 8 9 9 10 10 8 6 4 3 5 6 7 6 5 4 4 5 6 7 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 10 11 12 11 11 11 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 8 7 8 9 10 10 10 9 8 8 9 9 9 8 8 7 7 7 6 7 8 9 10 10 10 10 8 8 8 8 8 8 9 9 8 7 8 8 8 9 9 9 8 8 10 10 11 11 11 11 12 12 12 10 8 7 6 6 7 7 7 7 8 9 10 10 11 10 9 8 8 8 8 8 8 8 9 9 9 nan
nan 6 6 6 6 6 6 7 8 8 8 9 9 9 10 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 10 11 13 14 14 12 10 9 8 7 6 6 7 8 8 9 10 12 10 7 6 6 7 8 9 11 11 10 6 4 5 7 8 8 7 6 5 6 6 7 8 9 9 9 8 8 8 9 9 9 9 9 9 8 7 7 8 10 12 12 11 10 10 10 10 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 8 8 9 9 9 8 8 7 7 7 7 8 9 10 11 12 11 10 9 8 8 8 7 8 9 9 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 11 11 12 12 10 9 7 6 6 6 6 6 7 7 8 9 10 11 10 9 9 9 9 9 8 7 7 8 8 9 nan
nan 6 6 6 7 7 7 7 7 8 8 8 8 8 9 10 11 11 12 12 12 11 11 11 11 11 10 9 9 9 9 10 11 13 13 12 10 9 8 7 6 7 8 9 10 10 11 11 10 7 6 6 7 9 10 12 12 10 6 3 5 7 8 7 6 6 7 7 8 8 8 8 8 8 8 8 10 10 10 10 10 10 10 8 7 7 8 9 11 12 11 10 10 10 9 9 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 8 8 8 9 11 11 11 9 8 8 9 9 8 7 8 9 9 8 7 7 7 7 8 8 8 8 9 8 8 9 9 9 9 10 11 11 11 10 8 7 7 7 7 7 7 7 6 7 8 10 10 9 10 11 11 10 8 7 7 7 8 8 nan
nan 8 7 7 8 8 8 8 8 8 8 8 8 8 8 10 11 11 12 12 13 13 13 13 13 12 11 10 9 9 9 9 10 12 13 13 10 8 8 8 8 8 9 10 11 11 11 11 10 8 6 7 8 9 11 13 12 8 4 3 4 6 7 6 6 7 8 9 9 8 7 7 7 7 8 9 11 11 10 9 9 10 10 9 8 8 8 9 10 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 7 8 9 9 10 10 10 9 9 9 9 9 8 8 7 8 9 8 8 8 9 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 11 10 9 8 7 7 7 8 8 7 5 5 6 7 8 9 10 11 10 9 7 7 7 8 8 8 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 11 12 12 13 13 14 14 14 14 13 12 11 10 10 9 9 9 10 13 13 10 9 8 8 9 10 10 11 11 12 12 11 10 9 8 8 8 9 12 14 11 5 3 3 5 6 6 7 8 9 10 10 9 8 8 7 7 8 8 9 10 10 9 8 8 9 10 10 10 9 9 8 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 8 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 9 10 9 9 8 9 9 9 8 6 5 5 4 5 6 7 8 8 8 7 7 8 9 9 9 8 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 14 15 15 14 13 12 12 12 11 10 9 9 11 12 11 10 10 10 10 10 10 11 12 12 12 11 10 10 10 9 9 10 12 12 8 4 3 4 6 6 5 6 8 9 10 10 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 8 8 8 9 8 7 7 7 8 8 8 8 7 8 8 8 8 7 8 8 8 9 9 10 10 10 10 9 8 8 7 8 8 9 9 9 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 8 8 8 9 10 10 10 10 10 10 8 7 6 5 5 4 5 5 5 5 5 5 6 8 9 9 8 7 nan
nan 12 12 11 11 11 11 11 12 12 12 13 13 12 12 13 14 14 14 14 14 14 14 15 15 15 14 14 13 14 14 12 10 9 9 11 11 11 11 11 11 11 11 11 12 13 12 12 11 10 10 10 11 11 12 10 6 3 3 6 8 8 7 7 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 6 6 6 6 7 8 9 9 10 10 9 9 9 9 9 8 8 8 8 8 9 10 10 9 9 8 7 6 7 8 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 9 8 7 8 8 9 10 9 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 7 8 8 8 8 8 8 9 9 10 11 11 11 9 8 8 7 6 6 5 5 4 4 4 5 6 7 8 8 8 7 nan
nan 14 13 13 13 13 13 13 14 14 14 15 15 15 14 15 16 16 15 14 14 14 15 16 16 16 15 14 14 15 15 14 12 10 9 10 10 11 11 11 11 11 11 12 13 13 13 12 11 10 10 11 11 12 11 9 6 4 4 7 9 10 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 5 6 6 6 6 6 6 6 7 8 9 10 10 10 10 10 9 9 9 9 9 9 10 11 11 9 7 5 5 5 7 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 8 7 7 8 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 6 6 7 7 7 8 8 8 8 9 10 10 10 10 10 9 8 7 7 7 6 6 6 6 6 7 7 7 7 8 8 nan
nan 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 14 14 14 15 16 17 16 15 14 14 14 14 14 13 12 10 9 9 9 9 9 9 10 11 12 13 13 13 13 12 11 10 10 11 12 12 11 9 7 6 6 8 10 11 10 9 9 8 8 8 7 7 8 8 8 8 8 8 9 9 8 7 6 5 5 6 6 6 7 7 7 7 6 6 6 6 7 8 10 10 10 10 10 10 10 10 10 10 10 9 8 6 4 3 4 6 7 8 9 9 8 7 8 8 9 9 9 8 8 8 9 9 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 9 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 13 15 16 16 15 14 14 14 14 13 12 11 11 10 9 9 8 8 7 8 9 10 12 13 13 13 13 13 12 11 11 11 12 11 10 9 8 7 8 9 10 10 10 9 8 7 7 8 8 8 8 9 9 8 8 9 10 9 7 6 5 5 5 6 7 7 8 8 8 8 7 7 6 6 6 7 9 10 10 10 10 9 9 9 9 9 8 7 4 2 2 4 7 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 8 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 8 10 10 nan
nan 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 12 14 15 14 13 13 13 13 13 11 10 10 10 10 9 9 8 7 6 7 8 10 11 12 13 13 13 13 12 12 12 12 12 12 10 9 8 9 9 10 10 10 9 9 8 8 8 9 9 9 10 10 9 8 9 10 10 9 6 5 4 5 5 6 7 7 8 8 8 8 8 7 8 7 7 7 8 9 9 9 9 7 6 6 7 7 6 5 4 4 6 8 10 11 10 9 8 7 7 7 8 8 8 8 8 8 9 8 8 8 8 7 7 8 8 8 9 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 5 5 5 6 6 7 7 8 8 8 8 8 9 10 10 11 nan
nan 6 7 7 8 8 9 10 10 10 11 11 11 10 9 9 9 9 9 10 11 13 13 12 11 12 13 12 11 10 10 10 10 10 10 9 7 6 5 6 7 8 10 11 12 13 13 13 12 12 12 12 12 12 11 9 8 10 11 11 11 10 10 10 9 8 9 9 10 10 10 10 9 8 8 9 8 6 4 3 3 5 6 6 7 7 7 7 7 7 8 8 8 8 7 7 8 8 9 8 7 6 5 6 7 8 6 5 5 7 8 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 6 6 7 8 8 8 9 9 9 10 10 10 10 nan
nan 7 7 7 8 8 8 8 8 9 10 10 10 9 9 9 9 8 8 9 10 11 11 10 10 11 12 11 10 9 9 10 10 11 10 9 7 6 5 5 6 7 9 10 11 12 12 12 12 12 12 12 12 12 11 10 9 10 11 11 11 11 10 10 10 9 9 9 10 10 10 9 7 6 6 6 4 3 1 1 3 5 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 7 9 11 10 6 4 4 6 7 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 10 9 9 10 10 10 9 9 9 9 9 10 10 10 9 8 7 8 8 9 9 9 8 8 9 9 9 9 nan
nan 7 7 7 8 9 8 7 7 7 8 9 9 9 8 8 9 9 9 9 10 10 9 10 11 12 11 9 9 9 9 10 11 11 11 9 7 6 5 5 6 7 8 9 10 11 12 12 12 12 11 11 11 12 11 10 10 10 11 12 11 9 8 9 10 11 10 10 9 9 8 8 6 5 4 2 1 -0 0 2 4 6 7 7 6 6 6 7 7 7 7 7 7 8 8 8 9 9 8 7 6 6 8 10 12 8 4 2 2 4 6 7 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 9 9 9 9 8 8 8 7 7 7 8 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 11 11 10 9 9 8 8 9 10 10 9 8 8 7 8 8 9 nan
nan 7 7 7 8 8 8 8 7 7 7 8 8 8 8 9 10 10 10 10 10 10 10 11 13 12 11 9 8 9 9 10 11 11 11 10 8 7 6 5 6 7 8 9 9 10 11 12 13 12 12 11 11 11 11 11 11 11 12 12 11 8 7 10 12 12 11 9 8 6 6 7 7 5 2 -0 -1 0 2 4 6 8 8 7 6 6 6 7 7 7 7 7 7 8 8 8 9 9 8 7 5 5 6 8 8 6 4 3 3 5 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 10 10 9 8 7 7 8 9 9 nan
nan 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 10 11 11 12 12 11 11 13 14 13 11 9 9 9 9 10 11 11 11 10 9 8 6 6 6 7 8 8 9 10 10 11 12 12 12 11 11 11 11 11 12 12 13 13 11 9 9 11 13 12 11 9 6 4 5 8 8 6 1 -1 0 3 5 6 8 9 8 7 6 6 6 7 7 7 7 7 7 7 7 8 9 10 9 6 4 5 6 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 11 10 9 9 9 9 9 9 8 8 7 6 7 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 8 8 7 7 8 8 9 9 nan
nan 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 9 10 12 13 14 13 12 13 13 12 11 9 9 9 9 10 10 11 11 10 10 8 7 6 7 7 8 8 9 9 10 10 11 11 11 11 11 10 10 11 13 13 14 13 12 11 12 12 11 9 8 8 6 5 7 10 10 6 1 0 3 5 6 7 8 8 8 7 6 6 7 7 7 7 7 7 8 8 8 9 11 11 8 5 5 7 8 9 10 10 10 9 9 8 7 8 9 10 10 8 6 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 8 7 7 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 8 7 7 7 8 8 9 9 9 nan
nan 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 7 9 12 15 15 14 13 12 11 10 10 9 9 9 9 9 10 10 10 10 10 8 7 7 7 8 8 8 8 8 9 9 10 11 11 10 10 10 10 11 13 14 14 13 13 13 12 11 8 6 7 8 7 7 9 10 10 5 1 3 5 7 7 7 9 9 8 6 6 6 7 8 8 8 8 8 8 8 9 11 12 11 8 6 7 8 10 10 11 10 10 9 8 7 6 7 9 11 10 7 5 5 6 7 8 8 9 9 9 9 9 9 9 9 8 8 9 9 10 11 11 11 10 9 9 9 9 8 8 9 9 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 8 7 7 8 8 8 9 9 9 nan
nan 7 7 6 6 6 5 5 5 5 5 5 6 5 5 6 7 9 13 15 15 14 12 11 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 9 11 12 13 13 13 13 13 11 8 6 6 8 9 9 8 9 10 8 4 4 6 8 9 8 9 9 9 7 6 6 7 7 8 8 8 8 8 8 9 10 12 12 11 9 8 9 9 10 10 10 9 8 8 7 7 7 8 10 11 10 7 4 3 4 5 6 6 7 7 8 8 9 9 10 9 9 8 8 9 10 11 11 10 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 8 8 8 8 7 8 8 8 8 nan
nan 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 10 13 14 14 13 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 10 10 10 11 12 12 13 13 13 12 9 7 7 8 11 11 10 9 9 8 7 7 8 10 11 11 10 9 9 8 7 7 7 7 7 7 8 9 9 8 9 10 12 13 13 11 10 9 9 10 10 9 8 8 8 8 8 8 8 9 9 9 8 6 3 2 3 3 3 3 4 6 7 8 8 9 10 10 9 8 8 8 10 10 10 9 8 7 7 8 8 8 8 8 9 9 8 8 7 7 7 7 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 8 8 7 7 8 8 8 7 nan
nan 6 5 5 5 4 4 5 5 6 6 6 7 6 6 7 8 10 12 14 13 12 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 12 12 12 13 11 8 7 8 9 11 11 10 9 9 9 9 9 11 12 13 12 10 8 7 7 7 8 8 7 6 7 8 9 9 9 10 13 15 14 12 11 10 10 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 6 5 4 4 3 2 2 3 5 7 8 8 9 9 9 9 8 8 8 9 10 9 9 8 7 7 8 8 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 9 9 9 8 8 8 9 8 7 7 nan
nan 5 5 4 4 4 5 5 6 7 7 8 8 7 7 7 8 10 12 12 11 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 11 11 11 12 12 11 10 9 9 10 10 10 10 10 10 10 10 11 11 12 13 13 11 9 7 6 6 7 8 8 6 6 8 9 10 9 10 12 14 15 13 11 10 9 9 9 9 8 8 8 8 8 9 8 8 7 7 7 7 8 7 7 6 5 4 3 3 5 7 8 8 9 9 9 9 8 8 8 8 9 10 10 9 9 8 8 9 9 10 10 10 10 10 10 9 9 9 8 7 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 9 9 9 9 8 9 9 8 7 7 nan
nan 5 4 4 4 5 5 6 7 8 8 9 9 8 8 8 9 10 12 12 10 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 10 11 12 12 11 10 10 10 11 11 12 13 13 12 12 12 10 8 6 6 6 7 8 8 9 10 11 11 10 10 11 14 15 14 12 10 9 9 9 9 9 8 8 8 8 8 8 7 6 6 7 9 10 10 8 7 7 6 6 6 6 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 10 11 11 10 10 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 9 8 7 7 nan
nan 5 5 5 5 6 6 7 8 9 9 9 9 9 8 8 9 10 12 12 11 9 9 9 9 9 9 9 10 11 11 12 11 11 11 10 10 9 9 10 10 10 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 11 10 11 11 12 13 13 12 10 9 9 8 7 6 6 6 8 9 11 11 12 11 10 10 10 13 15 14 12 10 9 9 9 9 9 8 8 8 8 7 7 7 6 6 7 9 10 11 9 7 6 7 8 8 8 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 10 11 11 11 10 10 10 9 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 5 6 6 6 7 7 8 9 9 10 10 9 9 9 9 10 10 11 12 11 11 10 10 9 9 9 9 10 11 12 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 9 9 9 10 10 11 12 13 13 13 12 11 11 11 12 13 12 10 8 7 7 7 6 6 5 6 8 11 12 12 11 10 10 11 13 15 14 12 11 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 8 9 10 9 8 7 8 8 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 9 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 nan
nan 6 7 7 8 8 9 9 10 10 10 10 10 9 8 9 9 10 10 11 11 12 11 11 11 10 9 10 10 12 13 14 14 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 10 11 11 12 13 13 13 12 13 13 13 13 11 9 7 7 7 7 6 5 4 6 9 11 12 12 11 11 12 14 15 15 13 12 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 8 8 8 9 9 10 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 nan
nan 6 7 9 9 10 10 10 10 11 11 10 10 9 8 7 7 8 8 9 11 12 13 13 13 13 11 10 10 11 13 14 14 14 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 9 10 10 11 11 12 13 13 14 15 15 14 12 10 8 8 8 8 8 7 5 6 7 10 11 12 11 11 11 13 13 13 12 11 11 11 11 10 9 8 7 7 6 6 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 9 10 11 10 9 8 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 nan
nan 6 8 9 10 10 9 10 10 11 11 10 9 8 7 6 6 6 7 9 11 12 14 14 14 14 13 12 11 10 11 13 14 14 14 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 14 15 16 16 15 12 10 8 8 8 9 9 8 7 8 9 10 11 10 10 10 10 10 10 9 10 10 11 11 10 9 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 10 10 11 10 10 10 9 8 8 8 8 8 8 9 8 7 6 7 9 10 11 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 nan
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nan 12 12 12 12 12 13 13 13 14 14 13 13 13 13 12 12 12 11 11 11 12 13 13 14 14 13 13 13 12 12 11 11 11 11 11 11 11 10 9 9 8 9 9 11 12 12 12 12 12 11 10 9 7 6 5 5 5 5 6 7 7 8 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 9 9 8 7 6 6 6 7 8 10 11 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 8 8 8 8 8 7 7 7 6 5 4 4 5 7 9 9 10 10 10 11 14 16 16 15 14 11 9 8 7 7 7 8 8 9 10 11 11 11 10 10 10 9 7 0 -5 -7 -5 -2 4 9 10 9 8 3 -1 -3 -1 4 7 8 9 11 16 19 19 18 16 14 12 11 10 9 9 9 9 9 10 10 11 nan
nan 12 12 11 11 11 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 12 13 13 14 14 13 13 12 12 12 11 11 11 11 11 10 10 10 9 9 10 10 11 12 12 12 12 11 10 9 8 7 6 5 4 4 4 4 5 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 7 8 9 10 11 12 13 12 12 12 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 8 7 7 7 6 4 4 4 6 8 9 9 10 10 11 13 15 17 17 14 10 8 7 7 7 7 7 7 8 10 11 12 11 10 9 10 10 9 5 2 2 2 4 8 9 8 6 4 -0 -3 -3 1 5 7 8 9 11 16 18 18 16 14 12 11 11 10 10 10 10 10 10 11 11 11 nan
nan 13 13 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 12 13 13 14 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 6 5 4 4 4 4 5 5 6 7 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 7 7 8 9 10 10 11 12 12 12 12 12 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 5 4 4 5 7 9 9 10 10 11 12 14 17 17 14 10 8 7 6 7 7 7 8 8 9 10 11 11 10 10 10 11 11 10 9 8 6 7 9 7 5 2 -1 -4 -4 -1 3 6 8 8 9 12 16 17 17 15 12 11 11 10 10 10 10 10 10 10 10 11 11 nan
nan 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 11 11 10 11 11 12 13 14 14 13 13 13 12 12 11 10 10 9 8 8 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 7 8 9 9 10 9 9 8 7 6 7 8 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 9 10 10 10 10 10 10 9 8 8 8 8 7 5 4 4 4 7 9 9 10 10 10 11 13 16 17 14 11 8 6 5 7 8 8 9 9 9 10 11 11 11 10 10 11 10 11 11 10 8 8 9 8 6 3 1 -0 1 4 6 8 8 8 9 12 14 15 15 13 12 12 12 11 10 10 10 10 10 10 10 10 11 nan
nan 14 14 15 15 15 14 14 13 13 13 12 12 12 12 11 11 11 11 11 12 13 13 14 13 13 13 12 12 11 10 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 8 7 7 8 9 9 10 8 7 6 6 6 7 8 9 10 10 10 9 9 10 10 11 11 11 11 11 10 9 9 8 8 8 9 10 10 10 10 10 10 9 9 8 8 8 7 6 4 4 4 6 8 9 9 10 9 10 13 15 16 14 11 8 5 5 7 9 10 10 9 10 10 11 11 10 10 10 10 9 10 10 10 9 11 11 10 9 7 6 5 6 7 8 8 8 9 9 10 11 11 12 13 13 13 12 11 10 10 10 10 10 9 9 10 11 nan
nan 12 13 14 14 14 14 13 13 12 12 12 11 11 11 11 11 11 12 12 12 13 13 14 13 13 13 12 11 10 9 8 7 7 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 13 13 13 13 13 13 12 11 10 10 10 10 11 11 11 11 11 10 10 9 9 8 8 7 8 9 10 9 8 6 5 5 6 8 9 10 10 10 10 10 9 10 10 10 11 11 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 7 5 4 4 6 7 9 9 9 9 10 12 14 15 15 12 8 6 7 9 10 11 11 11 11 11 10 10 9 9 10 9 9 9 9 9 10 11 11 10 8 8 7 6 6 7 8 8 8 9 9 9 10 10 12 14 14 14 12 11 11 10 10 9 9 7 7 7 9 nan
nan 11 12 12 13 13 12 12 12 12 12 11 11 10 10 11 11 12 13 13 13 13 13 13 13 13 12 11 11 10 8 7 7 7 8 8 9 10 11 11 12 13 14 14 15 15 15 15 15 15 14 13 13 12 11 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 8 9 9 9 8 6 5 5 7 9 10 10 10 10 10 10 9 10 10 11 11 11 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 6 4 3 5 6 8 9 9 9 10 11 13 15 15 13 10 9 10 10 10 10 11 11 11 10 9 9 8 9 9 9 8 8 8 8 9 10 9 7 5 5 5 5 6 7 8 8 9 9 10 10 10 11 12 14 15 14 12 11 11 10 9 6 3 1 -0 2 7 nan
nan 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 12 13 13 14 14 13 13 13 13 12 11 10 9 8 7 7 8 9 10 11 13 14 14 15 16 17 17 17 17 16 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 7 7 8 7 7 7 7 7 8 10 11 11 11 11 10 10 9 9 10 10 11 11 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 10 8 6 4 3 4 5 7 9 9 9 9 10 12 15 16 15 13 12 11 10 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 7 3 2 2 3 5 7 8 9 9 9 10 10 10 10 10 11 13 15 15 14 12 10 7 4 1 -3 -5 -3 4 10 nan
nan 13 13 13 13 13 13 12 12 11 11 11 10 10 9 10 10 12 13 14 14 14 14 13 13 12 12 11 10 9 8 8 8 10 11 12 14 14 15 15 16 17 17 16 15 14 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 7 7 7 7 7 7 7 8 9 11 11 12 12 11 11 10 9 8 9 10 10 11 10 9 9 9 10 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 10 9 8 7 6 4 4 4 5 7 8 9 9 9 9 12 15 17 16 15 13 10 7 6 6 7 8 8 8 7 7 7 8 8 8 8 8 9 10 11 10 6 1 -1 -0 2 5 8 9 9 10 10 10 9 9 9 9 11 14 17 19 17 12 6 2 -0 -2 -2 0 6 14 17 nan
nan 13 14 14 14 14 13 12 11 11 10 10 9 9 9 9 10 11 12 13 14 14 14 13 13 12 11 10 9 8 8 9 10 11 13 13 14 13 14 14 15 15 14 13 12 11 10 10 10 10 11 11 11 11 10 10 10 10 9 9 10 10 10 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 10 10 11 12 12 12 11 10 10 9 10 10 11 10 9 9 9 9 10 10 11 12 12 12 11 11 11 11 12 12 13 13 13 12 12 11 9 6 4 4 5 6 6 6 6 7 8 8 9 9 9 11 14 15 15 13 10 6 4 3 4 6 7 8 7 7 7 7 8 8 9 9 10 10 11 12 9 4 -1 -2 0 4 7 8 9 9 9 9 9 8 9 9 10 13 17 21 22 16 8 2 -1 -0 2 4 8 16 20 22 nan
nan 13 13 14 14 14 13 12 11 10 9 9 9 8 8 9 9 10 11 12 12 13 13 13 12 12 11 10 9 9 10 10 12 13 13 12 11 11 11 11 12 12 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 10 9 9 8 8 8 8 9 9 8 7 7 8 9 10 11 11 9 9 9 9 10 11 11 11 11 11 11 12 12 12 11 9 8 8 8 9 10 10 11 11 11 10 10 11 12 12 13 13 14 14 13 13 12 11 9 6 4 4 5 7 9 9 8 7 7 8 8 9 10 11 12 12 11 9 5 2 0 1 4 7 9 8 7 7 8 8 9 9 10 10 10 11 12 11 8 2 -2 -1 2 5 7 8 8 8 8 8 8 9 10 11 13 17 21 24 20 11 3 -0 2 5 7 9 12 17 19 21 nan
nan 11 12 12 13 14 13 12 11 10 9 9 8 8 8 9 9 10 10 11 12 12 12 12 12 11 10 9 9 10 11 12 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 8 6 6 7 7 8 9 9 8 7 7 8 9 11 11 10 9 8 8 9 9 10 10 11 11 11 11 12 12 11 10 8 7 7 8 8 10 10 10 10 10 9 10 11 12 13 14 13 13 13 13 13 12 12 10 8 6 4 3 7 11 12 10 7 6 7 9 9 10 10 10 9 8 6 3 1 0 3 9 11 11 10 9 10 10 10 10 11 10 10 11 12 13 10 7 1 -1 0 3 6 7 7 7 7 8 8 9 11 12 14 18 22 26 24 14 6 2 2 7 9 11 11 13 17 20 23 nan
nan 10 10 11 12 13 12 12 11 11 10 10 9 9 9 9 9 10 10 11 11 11 12 12 12 12 11 10 10 11 11 11 11 10 9 8 8 8 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 8 7 6 5 5 6 7 8 9 10 10 8 7 8 8 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 10 9 8 7 6 7 7 8 9 10 10 10 9 8 9 10 11 13 13 12 12 12 12 12 13 12 11 10 7 4 2 6 11 12 10 6 5 7 9 10 11 10 10 9 9 8 5 4 4 9 13 13 12 11 11 12 12 12 12 12 11 11 12 13 11 8 4 -1 -2 0 3 5 6 7 7 8 9 10 12 13 14 17 21 25 25 17 7 3 3 7 10 11 11 12 15 20 25 27 nan
nan 10 10 10 11 11 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 10 9 8 8 8 8 9 10 11 12 11 11 11 11 11 11 12 12 11 11 12 11 11 9 8 7 6 5 5 6 7 8 9 11 12 12 11 10 9 9 9 10 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 8 7 7 7 7 8 9 10 9 9 8 7 8 9 10 12 12 12 12 11 12 12 12 13 12 11 9 6 3 6 9 10 8 5 5 8 10 11 11 11 11 10 10 9 7 6 7 10 11 11 10 11 12 12 12 12 12 12 13 13 12 8 4 -0 -4 -6 -4 -1 3 6 7 8 8 10 11 13 14 15 16 18 20 20 15 6 2 2 6 10 11 12 12 14 18 23 28 27 nan
nan 9 10 10 10 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 9 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 6 5 5 5 6 8 8 9 10 11 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 10 11 12 12 11 11 11 11 12 12 12 12 11 8 6 6 6 6 5 6 9 11 12 13 13 12 12 11 10 9 8 7 8 9 9 9 10 12 12 12 11 12 13 13 12 9 4 -2 -6 -9 -9 -6 -2 2 6 8 9 9 10 12 13 15 16 17 18 18 17 14 7 3 3 6 10 11 12 12 14 18 24 28 29 25 nan
nan 9 10 10 11 12 12 13 13 12 10 10 9 9 9 9 9 9 10 11 11 11 11 12 13 13 13 13 12 11 10 9 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 9 8 7 6 5 5 5 6 7 9 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 9 8 9 9 10 10 10 10 10 10 11 11 11 11 12 11 11 10 8 6 4 2 5 10 12 14 14 14 14 14 13 11 10 9 8 8 9 8 8 10 13 14 13 12 11 10 9 7 3 -1 -5 -9 -9 -7 -2 2 6 9 10 10 11 11 12 14 16 19 22 22 21 19 16 12 9 8 8 10 11 11 12 14 19 25 30 31 28 21 nan
nan 10 11 11 12 13 14 14 14 12 11 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 11 10 8 8 8 9 9 10 10 11 11 11 11 11 11 11 10 9 8 7 6 6 5 5 6 6 7 8 9 10 10 11 11 11 10 10 10 10 9 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 10 10 9 9 9 9 8 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 7 3 2 6 12 14 16 16 16 15 14 12 11 10 10 9 10 10 9 10 13 16 16 14 12 9 4 1 -3 -6 -7 -7 -5 -1 4 8 11 12 12 11 11 12 14 16 19 22 26 28 26 23 20 17 14 11 10 10 10 11 12 15 20 26 30 30 27 20 15 nan
nan 12 12 13 14 15 16 16 15 14 13 13 12 12 13 12 12 12 13 13 13 14 14 13 14 14 13 13 12 11 9 8 8 8 8 9 10 11 11 11 11 11 10 10 9 7 7 6 6 6 6 6 7 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 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 8 5 5 9 13 14 15 15 15 13 11 10 10 11 11 11 11 11 11 12 13 15 14 12 10 4 -0 -3 -5 -4 -2 2 6 11 15 16 16 14 13 13 15 18 20 23 25 28 29 27 23 18 15 11 8 6 7 9 10 12 15 20 26 29 28 24 18 13 10 nan
nan 13 14 15 16 16 16 16 16 15 15 14 14 14 12 12 12 13 14 14 15 15 15 15 14 14 14 13 12 11 10 9 8 8 9 10 10 11 11 10 10 9 8 8 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 8 10 12 12 12 12 13 12 9 7 8 11 13 14 14 13 13 13 13 13 13 13 13 11 6 4 4 6 8 11 15 18 20 21 20 17 15 16 18 21 23 23 24 24 23 20 15 11 8 5 2 1 4 8 12 14 17 21 26 29 26 22 16 12 10 10 nan
nan 14 14 15 16 16 15 15 14 13 13 13 13 12 11 11 12 12 13 14 15 15 14 14 14 13 13 13 12 11 10 10 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 8 9 9 10 10 10 10 10 10 11 12 11 10 8 9 10 9 7 5 9 14 16 17 15 14 14 14 15 17 19 20 21 18 15 15 16 18 20 22 23 23 23 21 17 14 12 14 16 17 16 15 14 12 9 5 4 4 5 5 5 8 13 17 19 21 24 27 29 26 21 15 12 10 10 10 nan
nan 13 13 14 14 13 12 11 11 11 11 12 12 11 10 10 10 11 12 12 13 12 12 12 12 12 12 11 11 10 10 10 10 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 11 10 10 9 9 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 9 9 10 10 10 10 11 11 11 11 10 8 7 8 8 8 8 9 13 16 17 16 14 14 15 16 19 22 24 25 24 22 21 21 22 23 24 23 22 20 17 13 8 4 6 9 11 11 9 9 9 7 5 6 10 14 16 16 17 19 22 23 24 25 26 26 23 19 15 12 10 11 11 11 nan
nan 12 11 11 11 10 9 9 10 10 11 12 11 10 10 9 9 9 10 10 11 11 11 11 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 11 11 11 10 10 10 10 11 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 9 8 7 7 7 8 8 9 11 12 12 12 12 11 12 14 17 19 21 20 19 18 17 17 18 18 19 19 17 15 11 9 7 5 6 9 13 15 16 16 16 16 16 17 19 23 25 23 20 19 19 19 19 20 20 20 18 15 12 11 11 11 11 11 9 nan
nan 11 10 10 10 10 9 10 10 11 12 11 11 10 10 10 9 9 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 8 7 7 8 8 8 8 8 10 11 11 11 11 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 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 9 8 7 7 6 7 8 9 10 10 10 9 9 9 10 12 13 14 15 15 15 14 13 13 13 13 13 13 12 11 9 9 10 12 14 16 19 21 23 24 23 22 21 22 23 24 23 22 18 15 14 13 13 13 14 13 13 11 11 11 11 11 11 11 10 7 nan
nan 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 10 10 11 11 11 11 10 10 9 9 9 8 8 7 7 6 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 8 10 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 7 6 4 3 4 5 7 9 10 10 10 10 9 10 11 11 12 12 13 13 12 11 10 10 10 11 11 10 9 9 10 12 15 17 17 18 20 21 21 20 19 17 16 17 17 16 15 13 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 8 nan
nan 12 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 8 7 6 6 6 6 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 9 8 6 3 0 -1 -1 0 3 6 7 8 9 9 9 10 10 10 10 10 12 13 12 10 6 4 5 7 10 11 10 9 10 12 13 14 14 13 13 14 14 13 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 12 13 13 14 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 8 8 8 9 10 11 11 11 11 10 9 9 9 9 9 8 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 9 10 11 11 12 11 10 9 9 10 10 10 11 11 12 12 11 11 11 11 10 10 10 11 11 11 11 9 7 5 3 4 6 8 9 10 10 11 11 11 11 11 10 9 8 8 7 6 6 7 8 9 9 9 8 5 1 -3 -4 -3 -1 1 4 6 7 7 7 7 8 8 7 6 6 7 10 11 10 6 -0 -1 3 8 13 14 12 11 11 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 13 14 14 14 14 14 13 13 13 12 12 12 12 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 8 8 8 8 8 9 10 11 12 12 12 11 10 9 9 9 8 8 8 7 8 8 9 10 10 10 10 10 10 10 10 10 9 8 9 9 10 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 9 7 5 2 2 3 5 7 9 10 10 11 11 11 12 12 11 10 9 8 6 5 5 7 8 8 8 7 4 1 -3 -4 -2 1 4 6 7 8 7 7 7 7 6 5 3 1 2 5 8 8 7 1 -3 0 6 13 19 18 15 13 13 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 14 14 13 13 13 13 13 13 13 13 12 12 12 11 11 12 12 12 12 12 11 11 10 10 10 9 9 8 9 9 9 9 9 10 11 12 12 12 11 11 10 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 11 10 10 10 10 9 7 5 4 3 4 5 6 7 8 8 8 8 8 9 10 11 11 10 10 8 6 4 4 5 5 5 4 3 1 -2 -2 -0 3 6 8 9 9 9 9 9 9 9 7 6 3 3 4 7 9 8 6 2 2 8 14 20 23 20 17 14 13 12 12 11 11 10 10 10 10 11 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 8 8 8 9 9 10 11 12 12 12 12 12 11 11 10 9 8 7 7 7 7 7 8 8 9 9 9 10 9 9 9 9 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 8 6 6 7 9 11 12 13 13 13 11 9 7 7 7 8 8 9 9 9 9 8 7 7 8 9 10 10 11 12 10 7 4 2 3 3 3 2 1 1 1 3 5 8 9 9 10 10 10 10 11 11 11 10 9 9 10 11 13 13 12 10 9 12 17 21 24 23 20 16 13 12 12 12 11 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 11 11 12 12 12 12 11 11 10 9 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 9 8 7 5 5 5 7 10 13 14 15 14 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 13 13 12 8 5 4 4 5 6 6 6 6 7 8 9 9 9 10 10 10 11 11 11 12 12 12 13 13 14 15 16 16 15 14 15 17 21 24 23 20 17 14 12 12 12 11 11 10 10 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 52 182 342 501 645 763 843 873 866 897 935 976 1020 1044 1050 1067 1111 1179 1242 1285 1315 1321 1274 1208 1147 1092 1036 978 915 846 778 718 663 611 559 503 420 337 273 226 196 198 249 335 368 322 232 126 42 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
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