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 7 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 10 10 9 9 9 9 9 8 8 9 8 8 8 8 8 7 7 8 8 8 9 9 8 7 7 7 8 8 8 7 8 9 9 9 8 9 10 9 8 8 8 8 9 8 8 7 8 9 9 8 7 7 7 6 5 6 7 7 8 8 7 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 8 8 8 8 7 6 6 6 7 7 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 8 9 9 8 8 8 9 9 10 10 11 11 11 11 12 12 12 12 11 9 8 7 nan
nan 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 7 7 8 7 6 6 6 7 7 7 8 8 7 7 6 7 8 9 10 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 8 8 8 7 7 7 6 6 7 7 8 8 7 7 7 7 7 8 7 7 8 9 10 9 9 8 9 8 7 7 7 8 7 7 6 6 7 8 9 8 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 10 11 10 10 10 10 10 9 9 8 8 8 7 7 7 6 6 6 7 8 8 9 9 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 8 8 8 9 10 11 11 11 11 11 11 10 9 9 9 8 7 6 5 5 nan
nan 9 8 7 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 6 7 7 7 6 6 6 6 7 7 7 8 8 8 7 8 9 11 13 14 15 15 14 13 12 12 11 10 10 11 11 12 13 13 13 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 8 8 7 6 6 6 7 8 9 8 7 6 6 6 7 7 8 8 8 8 9 9 9 9 10 11 11 10 9 9 9 8 8 8 7 7 7 8 7 6 6 6 7 8 8 9 9 9 8 7 7 6 6 6 7 7 8 8 9 8 9 9 8 8 8 9 10 11 12 11 10 8 7 6 6 5 5 5 5 5 5 5 5 nan
nan 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 7 7 8 8 9 9 9 9 10 11 13 14 16 17 17 17 14 12 11 11 11 10 10 11 11 12 12 12 12 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 8 7 6 6 6 7 8 8 8 7 6 7 6 7 7 9 9 8 7 6 6 7 7 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 8 7 7 6 7 7 8 8 8 7 7 7 7 7 8 8 8 9 10 10 10 9 8 6 5 5 4 4 4 5 5 5 6 6 6 7 nan
nan 8 8 7 7 7 7 7 8 8 7 7 7 6 5 5 6 6 5 5 5 6 5 5 6 6 8 9 10 9 9 10 11 11 11 12 13 14 15 15 16 16 15 13 12 11 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 5 5 5 6 6 7 7 7 7 7 7 8 8 9 8 7 6 5 6 7 8 8 8 7 7 7 7 6 6 8 8 8 8 7 7 7 8 8 7 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 8 8 7 7 8 8 8 7 7 7 7 7 9 10 10 9 8 6 6 6 7 8 8 9 9 9 9 7 6 5 5 5 5 5 5 5 6 7 7 8 8 7 8 8 nan
nan 7 7 6 6 6 7 8 8 8 8 7 7 6 7 7 7 6 5 5 6 6 6 6 7 8 10 11 12 11 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 8 8 8 8 9 9 9 8 8 8 9 9 8 7 7 6 6 6 6 5 5 6 7 7 7 7 7 7 7 8 8 9 8 8 7 6 6 7 7 8 8 8 8 8 7 6 5 6 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 11 11 10 9 7 6 7 7 8 9 9 9 8 7 6 4 4 4 5 6 6 7 7 8 8 8 9 9 9 8 8 8 nan
nan 5 5 5 5 5 6 7 8 8 7 7 7 7 8 8 7 5 6 6 7 7 8 9 10 11 11 12 12 12 11 10 10 9 9 9 9 8 8 8 8 9 9 10 11 10 9 8 8 8 9 9 9 8 8 8 8 9 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 7 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 6 6 6 7 8 9 8 8 7 7 7 8 9 9 8 8 8 8 7 7 8 8 9 8 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 8 7 6 6 7 9 9 9 8 7 6 5 4 4 5 6 7 7 8 8 8 8 9 10 10 10 9 9 8 8 nan
nan 4 4 3 4 4 5 6 7 7 6 6 7 7 8 7 6 7 8 9 10 10 11 12 13 13 11 10 10 10 10 10 9 8 9 9 8 8 8 7 7 7 7 8 9 9 8 9 10 11 11 11 11 10 9 9 8 8 7 7 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 7 7 6 6 7 9 9 9 8 7 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 10 9 9 8 9 9 nan
nan 5 4 4 4 4 5 5 6 6 6 6 7 7 7 7 8 10 12 13 13 13 14 14 13 11 9 7 7 7 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 9 11 12 12 12 12 12 11 11 10 9 8 7 7 6 5 5 5 6 6 7 7 8 7 7 7 7 7 8 8 8 7 7 7 6 6 5 5 6 7 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 9 10 10 10 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 8 8 8 8 9 10 9 9 7 7 6 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 nan
nan 6 5 5 5 5 5 5 6 6 6 7 8 9 10 11 13 15 15 14 14 13 12 11 10 8 7 6 6 7 8 8 8 7 7 9 9 10 10 10 10 9 8 7 7 7 8 9 11 11 12 11 11 11 12 13 13 12 11 9 8 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 7 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 9 9 10 11 11 10 9 8 9 10 9 9 9 10 10 10 11 10 9 9 10 10 10 10 11 11 11 11 10 10 11 10 9 8 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 10 10 9 8 9 10 9 9 nan
nan 7 6 6 6 6 6 6 6 6 7 8 10 12 13 15 16 15 14 13 12 11 10 9 9 9 9 8 8 9 10 10 9 8 7 8 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 12 13 13 12 10 8 7 6 6 6 6 7 8 8 7 7 7 7 8 8 9 8 8 8 7 7 8 8 8 9 9 9 10 11 11 10 9 9 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 9 11 11 11 10 8 9 9 9 9 9 9 9 10 10 9 9 9 10 10 9 10 12 13 13 13 12 12 11 10 8 8 7 8 9 9 8 9 9 10 10 10 10 9 9 8 9 9 9 8 8 9 9 9 8 nan
nan 7 6 6 6 7 7 6 6 7 8 10 11 13 14 13 12 11 11 10 10 9 9 9 9 10 10 9 9 9 10 10 9 9 8 8 9 10 10 10 10 10 10 11 11 11 11 10 11 11 10 9 8 7 8 9 11 12 11 10 9 8 7 7 7 8 9 10 10 9 7 7 7 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 12 12 13 13 13 13 12 12 11 10 10 10 9 8 8 9 9 9 9 9 9 9 9 8 8 9 10 11 11 10 9 9 8 9 9 9 9 9 9 9 8 8 9 9 9 9 10 12 13 13 13 12 11 10 9 8 7 7 9 10 9 9 9 10 10 9 9 9 8 7 7 8 8 8 8 9 10 10 9 9 nan
nan 6 6 6 6 6 6 6 6 7 8 9 10 10 9 8 7 6 7 7 7 7 7 7 7 8 7 7 6 6 7 7 8 8 7 7 7 8 8 9 8 8 9 10 11 11 12 12 13 12 11 10 8 8 7 8 8 9 10 10 9 9 9 9 9 9 10 10 10 10 9 8 9 9 10 9 8 8 8 7 7 8 8 8 8 8 7 7 8 8 7 7 7 7 7 8 8 8 9 9 9 9 10 11 11 11 11 12 13 13 13 13 13 12 11 10 10 9 8 8 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 11 12 12 11 11 10 9 9 9 10 11 11 10 9 10 10 10 9 8 8 8 7 7 8 8 9 9 10 10 11 10 10 nan
nan 6 6 6 6 6 6 6 7 8 8 8 8 7 5 4 4 3 3 3 4 5 6 6 6 5 4 3 3 3 4 5 5 6 6 6 6 6 7 8 8 8 8 8 9 10 12 13 14 15 13 11 10 8 7 7 7 8 10 10 10 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 8 7 7 6 7 8 9 9 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 9 8 8 8 9 9 8 7 7 8 9 9 10 10 10 10 10 9 8 8 8 8 9 10 9 9 8 9 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 13 13 12 10 10 11 11 10 9 8 8 8 8 8 9 10 10 10 10 11 11 10 10 nan
nan 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 4 2 2 3 4 5 5 5 4 3 3 4 4 4 5 5 5 5 6 5 6 7 8 9 8 8 7 8 9 11 12 14 16 14 12 11 10 8 8 8 9 10 10 10 9 9 8 8 7 7 7 7 8 9 10 10 10 9 8 8 7 6 6 7 9 10 10 9 8 6 5 5 5 6 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 12 14 14 14 12 11 11 11 11 11 10 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 nan
nan 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 5 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 8 9 8 8 7 7 8 9 10 12 14 14 12 11 10 9 8 9 9 10 10 10 9 9 8 8 8 7 7 7 7 8 9 9 9 8 8 8 7 7 7 8 9 11 11 10 8 7 5 5 5 6 6 7 7 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 8 8 9 9 9 9 9 9 10 10 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 11 12 13 13 12 11 10 10 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 8 8 7 7 8 8 9 10 11 11 11 10 10 9 10 10 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 9 8 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 10 10 10 11 11 11 11 11 10 9 9 9 8 7 6 6 6 7 8 8 7 7 nan
nan 6 6 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 9 8 8 8 9 9 9 9 8 6 6 6 7 7 8 8 8 7 6 5 5 6 7 7 7 7 6 7 7 8 9 10 10 10 10 11 11 10 9 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 9 9 9 9 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 9 8 7 6 5 5 6 7 8 8 8 7 7 nan
nan 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 7 6 6 7 7 8 8 8 8 8 7 6 5 4 5 6 7 6 6 6 6 8 9 10 10 10 10 11 12 11 10 9 9 9 10 10 10 9 9 9 9 8 8 8 7 7 8 8 7 6 6 6 9 10 10 8 8 9 9 8 8 7 7 7 6 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 9 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 11 11 10 8 7 6 6 6 6 7 8 8 8 8 7 7 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 5 5 5 6 6 6 6 6 7 8 8 9 9 9 10 10 10 10 10 9 9 8 9 10 10 10 9 9 9 8 7 7 7 9 9 8 7 6 7 9 11 10 9 8 8 8 8 8 7 7 7 6 6 7 7 7 7 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 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 9 10 10 9 7 7 7 7 7 7 7 8 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 7 6 6 6 7 7 8 9 9 9 9 9 9 8 7 7 8 9 10 10 10 10 10 9 7 7 8 9 9 8 7 8 8 10 10 10 9 8 8 8 8 8 8 7 6 6 6 7 8 7 7 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 7 8 9 10 9 8 7 8 8 7 7 7 7 7 6 6 6 6 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 5 5 6 6 7 8 8 8 8 8 8 7 7 7 7 8 9 10 10 11 10 9 8 8 8 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 10 10 9 9 9 9 10 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 7 7 7 8 8 9 9 8 8 7 7 6 6 7 7 7 6 6 6 6 nan
nan 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 9 9 8 8 8 8 8 9 10 11 11 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 10 10 10 9 9 9 10 10 10 9 9 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 11 11 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 6 6 6 7 7 8 8 8 8 7 7 nan
nan 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 10 11 11 10 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 8 10 10 11 11 10 9 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 9 10 10 11 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 7 6 7 7 8 8 9 9 9 8 8 7 nan
nan 5 5 5 6 6 7 7 7 7 7 8 8 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 9 10 11 11 11 10 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 9 9 9 9 9 9 8 9 nan
nan 5 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 8 7 7 7 7 8 8 7 6 6 7 8 8 8 8 7 7 7 8 9 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 10 11 12 11 10 10 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 10 9 9 9 8 7 7 7 7 8 8 7 8 8 7 7 6 6 7 7 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 nan
nan 6 7 7 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 7 6 6 7 7 8 9 8 7 5 6 8 10 10 9 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 11 11 11 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 nan
nan 8 8 9 9 8 8 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 9 7 5 6 9 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 7 6 6 6 5 5 5 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 nan
nan 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 8 9 9 9 8 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 8 8 9 9 8 7 8 9 8 7 6 7 9 10 9 9 9 9 9 8 9 9 10 10 10 9 10 10 10 10 10 9 10 9 9 9 10 10 9 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 7 8 8 8 7 7 6 6 7 8 8 7 6 6 5 5 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 nan
nan 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 6 6 7 7 7 8 9 10 10 8 6 7 8 8 8 8 9 10 9 9 9 9 9 9 8 10 11 11 11 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 7 7 7 6 7 8 8 8 7 6 5 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 nan
nan 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 9 10 10 9 8 7 7 8 9 9 10 10 10 9 8 8 9 9 9 10 11 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 8 8 7 7 6 7 7 8 8 9 9 8 8 8 8 9 9 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 8 8 9 9 10 10 10 10 9 nan
nan 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 10 9 8 8 9 10 10 10 10 9 8 8 8 9 10 11 12 12 12 12 12 12 12 11 11 11 10 9 8 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 7 6 5 5 6 7 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 8 8 8 8 9 10 11 11 11 10 9 9 10 10 10 9 9 8 8 8 8 10 11 12 13 12 12 11 12 12 11 10 10 10 10 8 7 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 9 9 9 8 8 7 6 5 6 8 9 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 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 8 8 8 7 7 nan
nan 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 11 11 12 12 11 11 10 10 10 9 10 10 10 9 8 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 9 8 8 7 7 6 6 8 10 11 11 10 11 11 11 11 11 11 11 12 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 10 11 11 12 12 11 11 11 11 10 9 8 8 8 9 9 10 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 10 11 11 11 10 10 10 10 10 9 9 10 11 10 9 9 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 9 10 12 13 13 12 12 11 11 10 10 9 8 7 7 7 8 9 8 7 6 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 8 8 8 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 8 nan
nan 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 10 10 10 11 12 12 11 11 11 11 12 12 12 12 12 12 10 9 8 8 7 8 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 8 8 8 9 10 10 10 10 10 10 10 10 9 8 8 9 9 9 10 11 11 10 10 9 9 9 9 8 8 9 9 10 10 10 11 10 9 8 7 7 7 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 8 nan
nan 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 10 10 10 10 9 9 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 11 9 8 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 6 6 7 8 9 9 8 9 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 10 10 8 7 6 7 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 10 8 7 7 8 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 9 10 9 8 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 8 8 9 10 10 9 9 10 10 11 11 10 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 8 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 9 10 10 10 9 9 9 9 10 10 9 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 10 8 8 9 10 11 10 9 8 8 8 8 8 8 7 7 6 6 6 7 8 8 7 6 5 5 5 6 8 10 11 10 9 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 nan
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nan 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 10 9 9 8 7 6 6 5 6 6 7 8 8 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 11 12 11 11 11 10 10 10 11 11 12 11 11 10 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 11 11 13 14 16 18 19 20 20 18 14 10 5 2 1 2 2 2 3 5 10 14 16 15 14 13 13 12 11 10 10 10 10 10 11 11 10 10 9 8 9 10 11 11 11 9 8 9 10 10 11 11 10 8 5 4 3 3 5 8 11 13 15 16 16 14 12 10 9 9 9 10 11 13 15 17 19 20 20 17 nan
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nan 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 9 8 7 6 5 5 6 7 7 8 8 9 9 9 9 10 10 10 10 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 12 13 15 18 19 18 17 15 13 9 6 4 3 2 2 1 1 2 8 13 16 17 16 14 12 11 10 10 10 10 11 11 11 11 11 11 10 11 13 13 13 14 14 15 16 17 16 14 12 10 7 4 2 1 1 2 5 9 12 14 16 16 15 14 12 10 9 10 11 12 13 15 16 18 18 17 15 13 nan
nan 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 5 6 6 7 8 8 9 9 9 9 10 10 10 9 9 10 10 11 11 11 11 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 10 11 12 14 16 17 17 16 14 12 10 7 5 4 3 3 2 1 1 2 6 12 16 18 17 14 12 11 10 10 9 10 10 11 11 11 11 11 12 13 14 13 13 13 15 17 18 18 17 13 10 7 5 2 -0 -1 0 3 6 10 13 15 17 16 15 13 11 10 10 10 11 12 13 15 16 17 16 15 13 12 nan
nan 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 9 8 7 8 9 10 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 14 15 16 15 14 12 10 8 5 4 3 3 2 2 1 1 2 6 11 15 19 18 15 12 11 10 9 9 9 10 11 11 11 11 11 13 13 12 11 11 12 14 16 17 17 14 11 8 6 4 2 1 1 2 4 7 11 14 16 17 16 14 12 10 10 10 11 11 12 13 15 15 16 15 13 12 11 nan
nan 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 7 7 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 11 10 11 11 11 12 12 11 11 11 11 11 11 11 12 12 11 10 9 10 11 11 11 11 12 12 13 14 14 14 13 12 10 9 7 4 3 2 2 2 1 1 1 2 5 9 14 17 17 15 13 11 10 9 8 9 9 11 12 12 12 12 12 11 10 10 11 12 14 15 15 14 12 9 7 6 5 4 4 4 5 6 9 12 15 16 16 15 12 11 10 11 11 11 11 12 13 14 15 15 13 11 10 10 nan
nan 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 10 9 8 8 9 9 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 10 10 11 12 13 13 11 10 10 10 11 12 12 12 12 13 13 14 13 13 12 10 9 8 6 4 2 1 1 1 1 1 2 2 5 8 12 15 17 16 14 12 9 8 8 9 10 12 13 12 12 12 11 10 10 10 11 12 13 14 14 13 11 8 6 4 4 5 6 6 6 8 10 12 15 17 17 15 13 11 11 12 12 11 11 12 13 14 14 13 11 9 9 9 nan
nan 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 10 9 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 10 9 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 10 10 11 11 12 13 12 12 11 11 11 12 12 13 13 13 13 13 13 13 11 10 9 9 8 6 4 3 1 1 1 1 2 2 3 5 7 10 14 17 17 16 13 10 8 9 9 11 12 12 12 11 11 11 10 9 10 11 12 13 13 13 12 10 8 4 1 2 4 5 7 8 9 11 13 16 18 17 15 14 13 12 12 12 12 11 12 12 13 13 10 9 8 9 10 nan
nan 9 9 9 8 8 8 9 9 10 11 12 12 12 11 10 10 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 10 11 12 11 10 9 8 9 9 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 12 12 12 11 11 11 11 12 12 12 12 11 10 10 10 10 12 12 13 13 13 12 12 12 12 12 13 13 13 13 13 13 12 12 10 8 8 8 7 7 5 4 3 2 2 1 1 2 3 4 6 8 12 17 18 17 14 11 9 9 10 11 11 10 10 10 10 10 10 9 10 11 12 12 12 11 11 9 6 2 -1 0 2 5 8 9 11 13 15 17 18 17 15 13 12 13 13 13 12 11 10 10 11 10 9 8 10 13 13 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 11 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 11 12 11 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 10 10 10 10 11 12 12 12 12 12 12 13 13 12 11 9 9 9 10 11 12 13 13 13 13 12 11 11 12 12 12 12 13 13 12 12 11 10 9 8 7 7 7 8 7 6 4 3 2 1 0 1 3 4 6 7 12 16 18 17 14 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 7 4 1 -1 0 3 6 8 10 12 14 16 18 18 17 15 13 13 14 14 13 11 9 7 7 8 8 9 12 17 20 17 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 6 7 7 8 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 11 11 12 12 13 13 12 11 10 9 9 10 11 13 13 13 13 14 14 14 13 12 10 9 9 9 10 11 12 12 13 13 12 11 10 10 10 11 11 11 12 12 12 11 10 9 8 8 7 7 7 7 7 7 7 6 4 1 -1 0 2 4 5 7 11 15 16 15 12 10 9 8 8 9 9 9 7 7 8 9 11 11 11 11 11 11 10 10 8 6 3 1 -0 2 4 7 9 11 13 15 17 19 18 17 14 13 14 16 16 13 8 5 4 5 7 10 12 17 21 22 19 nan
nan 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 9 10 10 10 11 11 12 12 11 9 8 9 9 10 11 11 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 12 13 13 12 11 9 9 9 10 12 13 14 14 15 15 15 14 13 12 11 10 10 10 10 11 12 12 12 11 11 10 9 9 9 10 10 11 11 11 11 10 10 9 9 8 7 7 6 5 5 6 8 9 7 2 -1 -0 2 4 6 8 11 12 13 12 10 8 6 6 7 9 11 10 7 7 8 10 11 11 11 10 10 10 10 8 7 5 3 1 1 3 6 8 10 12 14 15 17 18 18 16 13 14 16 18 16 10 4 1 1 5 11 14 16 18 20 20 18 nan
nan 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 9 9 10 10 11 11 12 12 11 10 9 9 9 10 11 11 12 12 11 11 11 11 11 11 12 12 13 13 12 11 11 11 11 11 11 10 10 10 10 9 9 10 10 11 11 10 10 9 10 12 13 14 14 15 15 15 14 13 12 11 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 10 10 10 9 9 8 6 5 3 3 4 8 10 8 4 0 -0 2 5 7 9 10 10 10 9 7 5 4 5 8 13 14 12 9 8 10 11 12 11 11 11 10 10 9 8 8 7 5 2 2 4 7 9 11 12 13 15 16 17 17 15 14 16 18 18 13 5 0 -1 2 10 15 17 18 19 20 19 18 nan
nan 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 8 8 9 9 9 8 8 9 9 9 10 10 11 12 12 11 10 9 9 9 10 11 11 12 12 12 11 11 11 11 11 12 13 13 13 13 12 11 11 10 10 10 11 11 11 10 9 8 8 8 8 9 10 11 11 12 13 14 15 15 15 15 15 14 14 13 11 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 10 10 10 9 9 9 8 6 4 3 2 5 8 7 4 1 0 2 6 8 9 10 10 9 9 7 6 5 7 12 16 15 12 10 10 11 12 12 11 11 11 10 9 8 8 7 6 3 1 2 5 8 10 11 12 13 14 15 16 16 14 15 16 15 13 6 1 -1 0 7 14 17 18 19 20 20 20 18 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 10 11 11 12 12 12 11 11 11 11 12 13 14 14 14 13 12 11 11 10 11 11 11 11 12 12 11 10 9 8 9 10 11 12 13 14 15 16 16 16 16 15 15 14 13 12 11 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 9 9 10 10 9 8 6 4 3 4 5 4 3 1 2 4 7 9 10 10 10 10 9 8 8 8 10 14 15 13 11 10 11 12 12 11 11 10 10 9 7 6 5 4 2 -1 -1 2 6 10 11 12 12 12 13 14 15 15 15 14 13 10 5 -1 -3 -1 4 11 16 18 19 20 21 21 20 17 nan
nan 10 10 10 10 10 10 10 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 10 10 11 11 11 10 10 9 9 9 10 10 11 12 12 12 11 10 10 11 13 14 15 15 14 13 12 12 11 11 11 11 12 12 13 14 13 13 12 11 12 12 13 14 14 15 16 16 16 16 16 15 14 13 12 11 10 9 10 10 10 10 10 9 9 9 9 9 8 9 9 10 10 10 11 11 11 11 11 10 10 9 9 10 10 9 9 8 6 5 4 3 2 1 2 4 6 8 9 10 10 10 10 9 9 9 10 12 12 12 11 10 11 11 11 11 10 10 9 8 7 4 2 1 0 -0 -0 2 5 9 11 12 12 13 14 15 16 17 17 16 14 11 6 1 -1 -0 2 9 14 17 19 21 22 21 20 18 15 nan
nan 9 9 10 10 10 11 11 12 11 10 9 8 8 7 8 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 12 12 11 10 11 11 13 15 15 14 14 13 13 12 12 12 12 12 13 14 14 14 14 14 14 14 14 14 14 14 14 15 16 16 16 16 16 15 13 12 10 9 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 7 5 3 1 1 4 6 8 9 10 10 11 10 9 9 9 10 11 11 11 10 11 12 13 13 13 12 11 8 6 4 2 0 -1 -0 1 4 7 10 12 13 13 14 15 16 17 18 18 19 18 17 15 12 8 5 4 5 8 13 16 19 22 24 23 21 18 16 13 nan
nan 10 10 10 10 10 11 12 12 11 10 9 9 8 8 9 10 11 10 10 9 10 10 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 11 11 11 11 12 13 14 14 14 13 13 13 13 13 13 13 14 15 15 15 15 15 15 15 15 15 14 14 14 15 15 16 16 16 15 14 13 11 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 9 9 10 9 9 9 9 8 7 5 3 4 7 9 10 10 11 12 11 10 9 10 10 11 11 10 10 10 11 13 14 14 13 11 7 4 1 -0 -1 -0 1 4 8 12 15 16 16 15 16 17 19 21 21 21 21 19 18 16 15 13 10 7 6 8 11 15 19 22 25 25 22 19 16 14 13 nan
nan 10 10 9 9 10 11 11 11 10 9 9 9 9 10 11 12 12 12 11 10 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 12 13 13 13 13 12 12 12 13 13 13 14 15 15 15 15 15 15 15 15 14 14 14 15 15 16 16 16 15 14 13 12 11 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 9 9 9 9 9 8 8 9 10 11 11 12 13 13 11 10 10 11 12 12 11 10 9 9 10 11 12 13 12 7 3 1 1 2 4 6 10 14 18 20 20 19 19 19 21 23 23 24 23 22 19 16 14 12 10 8 6 6 7 10 14 18 21 24 25 22 19 16 14 13 13 nan
nan 9 9 9 9 9 9 9 9 9 8 9 9 10 12 13 13 13 12 11 10 10 10 10 11 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 12 12 12 12 12 12 12 12 13 13 14 15 14 14 14 13 13 13 14 14 15 15 15 15 15 15 15 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 12 13 12 10 10 12 15 15 14 13 11 10 10 11 13 14 15 13 8 6 6 8 11 14 17 20 23 25 24 22 20 20 22 22 22 21 20 18 17 14 10 9 7 6 5 5 7 10 14 18 20 23 23 22 19 16 14 13 13 13 nan
nan 9 9 9 8 8 8 8 8 8 8 9 10 11 12 13 14 13 12 11 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 14 13 12 12 12 12 12 13 14 15 15 15 15 14 13 13 12 12 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 10 10 12 16 18 18 17 14 13 13 14 17 19 20 20 17 14 13 15 17 19 21 23 24 24 23 20 17 16 16 17 16 15 13 13 12 11 9 7 7 8 8 9 11 13 16 18 19 20 21 20 17 16 14 14 13 14 14 nan
nan 10 9 9 8 8 8 8 9 9 9 10 11 11 12 13 12 12 11 10 9 9 9 9 9 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 12 13 14 15 15 13 12 11 11 11 11 11 10 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 11 11 10 10 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 11 14 16 17 17 15 14 14 16 18 20 21 22 20 18 17 17 18 19 20 21 21 21 18 15 12 10 11 12 14 13 12 11 11 11 11 11 11 11 11 12 13 15 16 17 17 17 17 17 15 14 14 14 14 14 15 15 nan
nan 10 9 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 10 9 8 8 8 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 11 11 11 11 12 13 14 15 14 13 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 12 13 14 14 13 12 13 14 15 17 17 17 16 15 14 14 14 15 15 16 16 16 14 12 12 11 11 13 16 17 17 17 17 16 16 16 17 17 15 13 12 13 13 14 14 14 14 14 14 13 13 13 13 14 14 15 16 nan
nan 10 9 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 9 8 8 8 9 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 13 14 13 12 11 10 10 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 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 12 12 12 13 13 12 12 11 11 11 11 12 13 13 13 13 12 13 14 15 17 18 19 19 19 19 19 19 19 19 19 18 16 12 11 11 11 12 12 12 12 12 12 12 13 13 13 13 14 14 14 nan
nan 9 8 7 8 9 9 10 10 10 9 9 8 8 9 9 10 9 9 8 8 9 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 12 12 12 12 12 13 13 12 12 13 13 14 14 14 13 13 13 13 12 12 12 12 12 11 11 11 10 11 12 12 11 11 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 9 9 9 10 10 10 11 11 11 10 10 10 10 10 9 9 8 7 7 6 7 9 10 11 12 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 10 11 13 13 13 13 13 14 15 15 16 16 17 17 16 16 16 15 16 17 16 16 14 11 11 10 10 11 11 11 11 12 12 13 13 13 13 13 13 13 12 nan
nan 9 8 7 8 9 9 10 9 9 8 8 8 8 9 9 9 9 8 8 9 9 10 11 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 12 12 13 13 13 13 12 12 12 13 13 14 14 13 13 12 12 11 11 11 12 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 7 7 6 6 6 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 7 5 3 2 2 4 6 8 9 10 11 12 12 12 11 11 11 10 10 10 9 7 6 7 8 11 13 14 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 12 11 11 10 10 11 11 11 11 12 13 13 13 13 13 13 13 12 10 nan
nan 8 8 8 8 8 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 10 11 12 12 13 12 12 12 11 11 10 10 10 10 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 12 11 10 10 11 11 11 11 11 9 9 9 9 9 10 10 11 12 12 12 11 11 10 9 9 9 9 9 10 12 12 12 11 10 10 10 9 9 8 7 6 6 6 6 6 7 7 8 9 9 9 10 10 10 10 11 10 10 8 6 3 1 -0 0 2 4 6 7 7 8 8 9 10 10 9 8 8 9 9 8 6 3 3 5 9 13 16 15 14 13 12 12 12 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 11 11 10 11 11 11 11 12 12 13 13 13 13 13 13 13 12 11 nan
nan 9 8 8 8 8 7 6 6 6 7 8 8 9 9 9 9 9 9 9 10 11 12 12 13 13 13 13 12 12 11 10 9 9 10 11 11 12 12 12 12 12 13 13 13 13 14 14 13 12 12 11 11 11 12 13 14 14 14 13 12 11 10 10 11 11 11 11 10 9 9 8 8 8 8 10 11 13 13 14 14 14 13 12 11 9 9 9 10 12 13 14 13 12 11 10 10 9 8 7 6 6 6 6 7 7 8 8 8 9 9 10 10 10 10 10 9 7 5 2 -0 -1 0 3 7 9 10 10 10 9 9 8 7 6 5 5 6 7 6 4 2 0 3 8 13 18 17 15 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 11 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 13 12 nan
nan 8 8 8 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 10 11 11 12 12 12 13 13 13 12 11 10 9 9 9 10 11 11 12 12 12 12 13 13 13 14 14 14 13 12 12 11 11 11 12 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 10 9 8 7 7 7 8 10 11 12 13 14 15 16 16 14 12 11 10 10 10 11 11 11 10 10 9 9 8 7 6 5 5 5 6 6 7 8 8 8 9 9 9 9 8 8 7 5 3 1 -1 -1 1 5 9 11 13 14 16 16 15 13 12 10 7 7 7 8 7 5 2 -0 2 8 15 21 22 18 14 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 10 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 nan
nan 8 8 7 7 7 7 6 6 7 7 8 9 9 9 9 9 9 10 10 11 11 12 12 12 13 13 13 12 11 10 9 9 9 10 11 11 12 12 12 13 13 13 14 15 15 14 13 12 11 10 11 12 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 11 11 10 9 8 7 7 7 7 8 9 10 11 13 15 16 15 14 13 12 11 10 9 7 6 6 6 6 6 5 5 4 4 4 5 5 6 7 8 8 9 9 9 8 7 7 6 4 2 1 1 3 6 9 11 13 14 15 17 18 18 17 16 15 14 14 14 13 10 7 4 5 9 16 22 25 21 17 14 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 12 12 12 12 13 13 13 12 12 12 nan
nan 8 7 8 8 8 8 8 7 7 8 8 9 10 10 10 10 10 10 11 11 11 11 12 13 14 13 12 11 10 10 9 9 10 10 11 11 12 12 13 13 14 14 15 15 15 14 12 11 10 10 11 12 13 13 13 12 12 12 11 11 11 10 10 11 11 12 12 13 13 13 13 11 10 9 7 6 5 5 5 6 6 7 9 12 14 15 15 14 12 10 7 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 8 9 10 10 10 10 9 8 7 6 6 8 10 11 12 13 14 15 16 17 17 17 17 18 18 17 16 14 11 9 9 11 16 20 23 22 18 15 13 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 11 11 10 10 10 10 11 11 11 11 12 12 12 12 13 13 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
1278 1348 1370 1348 1275 1205 1172 1181 1225 1287 1318 1282 1182 1039 877 729 618 544 491 481 495 521 558 601 642 664 676 717 775 802 805 813 837 855 847 830 834 872 936 1006 1068 1154 1216 1308 1476 1715 1965 2147 2193 2196 2259 2365 2483 2552 2496 2342 2128 1894 1719 1599 1511 1450 1447 1352 1278 1209 1146 1078 1000 924 858 839 887 965 1066 1179 1281 1357 1403 1465 1519 1550 1548 1517 1476 1416 1306 1230 1190 1146 1093 1079 1058 1011 970 939 901 860 845 878 923 926 907 871 823 774 731 694 694 759 762 681 595 563 572 533 500 487 485 470 426 384 333 249 190 155 135 129 151 170 159 143 135 140 153 168 170 177 184 196 208 219 230 239 215 182 158 145 133 115 90 62 43 29 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 17 28 38 47 55 61 67 72 75 77 77 77 81 89 103
1133 1209 1238 1234 1180 1100 1039 1019 1038 1073 1100 1101 1078 1034 991 942 877 798 727 696 688 687 690 695 698 699 719 762 797 789 767 768 788 809 810 803 808 842 896 952 1008 1089 1177 1288 1422 1583 1767 1950 2007 1998 2084 2193 2310 2412 2414 2262 1963 1647 1473 1396 1332 1252 1183 1091 999 932 887 846 804 784 781 812 875 949 1042 1166 1318 1470 1408 1493 1545 1520 1440 1334 1230 1128 1042 1018 970 906 885 878 821 839 871 879 867 857 865 851 865 866 865 854 823 776 718 675 651 682 650 566 522 509 498 468 433 442 456 413 325 248 211 188 176 157 134 147 203 208 176 142 124 120 126 147 150 158 167 178 193 207 213 213 186 156 136 125 113 96 75 52 34 21 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 19 27 35 44 52 58 61 63 63 64 70 85 100
1070 1155 1193 1198 1153 1074 1001 949 925 925 932 925 905 874 856 861 859 824 777 744 719 697 677 663 659 672 697 734 739 721 703 699 709 728 743 748 759 784 822 868 932 1045 1211 1370 1459 1499 1561 1681 1729 1727 1765 1832 1924 2023 2075 1964 1641 1294 1121 1046 976 907 842 769 701 661 654 673 706 746 796 838 875 921 1001 1145 1381 1726 1564 1500 1448 1362 1237 1092 975 911 886 855 816 792 791 796 815 861 899 908 884 853 876 824 814 824 838 835 803 754 693 646 610 622 616 563 506 479 440 408 343 401 516 459 275 199 176 157 157 148 135 241 299 216 147 113 101 97 93 101 106 115 122 133 149 165 174 166 146 124 108 96 84 66 52 38 28 19 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 13 19 26 30 36 39 43 44 45 46 51 65 77
1112 1185 1214 1204 1155 1082 1007 945 901 869 838 795 747 699 667 651 641 628 616 610 601 593 576 569 583 605 629 653 656 651 648 649 654 664 684 704 726 754 787 827 890 1015 1187 1313 1349 1356 1388 1401 1379 1371 1393 1429 1459 1481 1490 1376 1103 860 750 702 652 603 565 534 516 520 551 606 673 737 805 850 876 899 944 1045 1242 1607 1537 1410 1295 1179 1044 908 810 780 781 780 783 794 806 828 860 905 952 976 966 940 933 859 829 856 902 907 840 747 685 629 584 576 579 552 490 435 354 303 232 296 448 356 143 105 105 98 104 111 114 262 235 141 92 74 66 63 56 52 50 50 52 64 83 90 107 110 100 86 74 65 53 43 36 31 26 21 16 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 13 18 21 18 20 24 26 26 24 22 25 31 40
1176 1210 1205 1165 1098 1025 953 885 830 777 720 668 608 549 502 473 460 457 462 472 482 489 492 504 526 551 574 594 606 611 611 609 604 607 631 670 693 716 754 802 847 907 990 1036 1061 1091 1111 1062 1036 1047 1083 1102 1068 1002 953 841 646 533 483 458 439 429 442 477 506 536 572 615 666 745 820 867 892 900 916 975 1091 1271 1321 1295 1216 1100 973 870 783 777 808 845 878 907 929 949 972 986 1002 1055 1142 1213 1263 1174 998 950 982 967 858 724 670 608 548 515 521 541 515 399 273 186 121 91 81 57 52 47 50 52 59 70 66 54 48 50 49 44 35 29 23 19 16 12 21 43 50 45 53 57 55 50 44 38 31 31 32 32 31 28 20 12 7 4 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 12 17 16 10 12 18 22 21 13 7 11 15 23
1170 1158 1114 1044 959 872 792 715 665 623 577 541 499 461 430 405 388 380 382 391 406 423 439 459 484 511 540 566 585 592 590 579 564 560 571 601 601 592 599 624 647 673 713 736 765 790 791 778 782 800 831 856 815 724 669 575 452 389 362 358 374 412 481 550 599 635 665 696 738 803 867 902 928 944 970 1031 1121 1205 1263 1266 1200 1098 1007 942 856 864 920 994 1058 1092 1089 1075 1054 1049 1059 1192 1475 1758 1966 1809 1250 1001 994 954 869 767 684 603 513 457 476 550 546 365 208 110 61 40 31 24 22 20 21 25 31 37 38 32 28 26 23 20 15 10 7 4 3 1 19 53 40 20 19 22 25 28 29 28 30 33 34 33 30 24 19 16 11 6 2 0 0 0 0 0 1 2 1 0 2 3 4 5 6 6 8 14 13 11 16 25 30 27 9 3 4 8 15
1081 1043 979 901 817 730 650 572 528 498 468 442 419 398 379 362 350 343 339 346 361 383 407 434 463 497 533 564 581 573 553 529 507 495 489 486 464 439 426 430 444 470 504 529 548 558 560 563 577 594 625 668 658 588 535 445 385 351 338 349 387 453 545 620 679 720 751 782 822 870 931 946 965 994 1038 1108 1179 1239 1272 1271 1219 1148 1096 1035 957 973 1035 1112 1179 1208 1170 1161 1143 1139 1148 1223 1396 1618 1913 1752 1235 988 979 939 881 783 674 576 471 397 394 440 425 290 155 67 28 17 11 8 9 10 11 13 15 15 15 9 5 5 6 5 3 2 1 0 0 0 3 11 11 4 5 7 11 20 25 30 34 35 32 29 25 25 23 17 12 8 4 1 1 0 0 1 2 4 4 3 5 6 6 5 4 3 4 9 12 17 29 37 34 29 13 5 3 5 10
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