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 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 6 6 7 9 10 10 11 11 11 10 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 7 8 9 9 9 8 9 9 8 8 9 10 11 11 11 10 7 6 6 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 12 12 13 12 12 11 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 10 10 9 8 7 7 8 8 8 8 7 7 7 7 6 5 5 5 4 3 2 3 4 5 6 7 8 9 10 10 9 9 8 7 7 7 7 7 6 6 7 10 12 13 12 11 10 8 7 8 8 8 7 7 8 nan
nan 9 8 8 7 7 7 7 7 7 7 8 8 9 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 7 6 6 6 8 9 10 10 11 11 10 9 8 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 9 8 8 8 8 9 10 11 10 8 6 5 6 7 7 7 8 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 10 11 12 12 12 11 11 9 9 9 8 8 8 7 7 7 8 9 9 9 8 8 8 9 10 10 9 8 8 7 7 6 6 5 5 5 5 4 3 3 4 5 5 6 7 8 9 9 9 7 6 6 6 7 7 7 7 7 9 11 12 12 12 12 9 9 9 8 8 7 7 9 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 6 5 6 7 7 8 9 10 11 11 10 9 8 6 6 7 8 8 8 7 7 8 8 7 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 10 11 11 10 9 9 9 8 8 8 8 8 9 9 8 6 5 5 6 6 6 7 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 12 13 13 12 11 10 9 8 8 8 8 8 7 6 6 7 8 9 9 9 9 10 11 11 10 10 9 8 7 7 6 6 7 7 6 6 5 4 4 4 4 4 5 6 6 7 8 9 8 7 7 7 8 8 8 8 9 10 10 11 13 12 11 10 10 9 8 7 7 9 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 5 5 6 7 8 8 9 11 12 11 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 9 9 10 11 11 10 9 8 8 8 8 9 9 8 8 8 7 7 6 6 5 5 5 5 6 7 8 8 8 7 7 7 8 8 8 9 9 10 10 9 9 9 9 10 11 11 11 10 10 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 11 11 11 11 9 8 7 7 7 7 7 7 7 6 5 5 5 5 5 5 4 5 6 8 10 9 8 8 7 7 8 8 8 9 9 10 11 13 12 12 11 11 10 9 8 8 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 6 5 6 7 8 8 9 11 12 11 9 8 8 8 7 6 7 7 8 8 9 8 7 7 8 8 8 7 7 7 7 7 8 9 9 9 8 8 9 10 10 11 11 9 8 8 7 7 8 8 9 8 8 7 7 7 7 8 8 7 6 5 5 5 7 9 9 8 7 7 8 8 8 9 9 9 10 9 9 9 9 9 10 10 9 9 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 12 11 9 8 8 8 7 7 7 7 7 7 6 7 7 7 7 6 5 5 6 8 9 9 9 8 8 8 8 8 8 8 9 9 11 12 12 11 11 11 12 11 10 10 10 nan
nan 8 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 7 7 7 8 8 7 6 7 8 8 8 9 11 12 11 10 8 8 7 6 6 6 7 8 8 8 7 7 8 9 9 8 8 8 8 8 8 9 9 10 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 7 7 6 6 7 9 11 11 9 7 6 5 5 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 10 10 10 10 10 10 9 9 8 8 8 8 8 7 8 7 7 7 7 7 8 10 11 11 10 9 9 9 8 7 6 6 7 7 8 8 9 9 9 8 7 7 8 9 10 9 9 9 10 9 9 8 8 8 8 8 10 11 11 10 9 10 11 12 12 11 10 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 11 11 11 9 8 7 6 6 7 7 8 8 9 9 8 9 10 10 9 8 8 9 9 9 9 10 10 11 10 9 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 6 7 10 12 12 10 8 6 6 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 8 8 8 7 7 7 7 8 9 10 10 9 9 9 9 9 8 7 7 7 7 8 10 10 11 10 9 9 9 11 11 11 10 10 10 11 10 10 9 8 8 8 8 9 10 11 10 9 9 10 11 11 10 10 nan
nan 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 11 11 10 9 8 7 6 6 7 9 10 10 10 10 11 11 11 11 10 9 8 9 10 10 11 11 11 11 11 9 8 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 7 8 10 11 11 10 8 7 6 5 6 6 6 7 7 6 6 5 5 6 6 7 8 8 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 8 7 7 7 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 10 12 12 12 11 11 11 11 11 10 9 9 8 8 8 8 9 10 10 9 9 10 9 9 9 9 nan
nan 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 11 11 10 9 8 8 7 6 6 8 10 12 12 11 11 11 11 11 10 9 8 8 9 10 11 11 11 11 11 10 8 7 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 10 9 7 6 6 6 6 7 7 7 6 5 4 5 5 7 8 9 10 12 11 11 11 11 11 11 10 10 11 11 10 10 10 10 9 9 8 8 10 10 9 8 7 7 8 9 9 9 10 11 11 10 7 6 7 7 8 9 9 9 8 7 7 7 7 7 8 10 11 12 12 11 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 nan
nan 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 9 9 10 11 10 9 8 7 6 6 6 8 11 12 11 10 8 8 10 10 8 8 8 9 10 11 11 10 10 10 9 9 8 7 7 6 6 7 7 7 8 9 10 10 9 8 8 9 9 9 9 9 9 9 10 11 11 10 8 7 6 6 6 7 7 7 7 5 5 5 6 7 9 10 11 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 8 8 9 9 9 8 8 8 8 9 8 8 9 10 12 11 9 7 6 6 6 8 9 9 9 8 8 8 7 7 8 9 10 11 11 9 8 8 8 9 10 9 9 9 9 10 10 11 11 10 10 11 11 11 10 9 9 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 8 8 7 7 6 6 6 6 6 7 7 8 8 8 9 9 10 10 9 9 9 8 7 6 6 8 10 10 10 8 7 7 9 9 8 7 7 9 11 12 11 9 8 8 9 9 9 8 8 7 7 6 6 7 9 10 10 10 10 9 9 10 10 10 10 9 9 9 10 11 11 10 9 7 6 6 6 7 7 7 7 6 5 6 7 8 9 10 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 9 9 8 7 8 9 9 9 9 9 9 8 7 8 9 11 12 10 8 6 5 4 5 6 7 8 9 9 9 9 9 9 9 10 10 9 8 7 6 6 6 6 7 8 9 9 9 9 9 9 8 10 12 13 13 12 11 10 nan
nan 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 8 8 7 7 7 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 8 7 6 6 7 9 9 9 8 7 8 10 9 8 7 7 9 10 10 9 8 8 8 9 10 10 9 8 8 8 8 8 9 10 10 11 11 10 9 9 10 11 10 10 9 9 9 11 12 11 10 9 8 7 6 6 6 7 7 6 6 5 6 7 8 8 9 10 10 11 11 11 11 11 11 10 10 10 10 9 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 7 7 7 8 10 11 11 9 8 6 4 2 3 4 5 7 8 9 9 10 10 10 9 8 8 8 7 7 6 4 3 4 7 8 9 9 9 8 7 7 9 11 13 14 14 12 10 nan
nan 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 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 9 9 8 7 8 9 9 8 7 7 8 9 8 7 7 8 8 9 9 8 7 7 8 9 10 10 10 11 11 10 10 9 8 9 9 10 10 10 10 9 9 11 11 11 11 9 8 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 9 9 10 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 7 7 9 10 10 10 9 9 7 4 2 1 2 4 5 7 9 10 11 10 9 7 7 8 8 8 7 5 3 4 6 7 8 9 9 8 6 7 8 10 12 13 13 12 10 nan
nan 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 8 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 10 11 11 11 11 11 10 9 8 7 7 8 8 9 10 10 11 10 10 10 10 11 11 10 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 10 12 13 13 13 13 12 11 10 10 10 9 8 9 10 11 11 11 10 10 10 10 9 8 7 6 5 6 6 7 8 9 9 10 11 11 9 6 3 2 3 3 5 7 9 10 10 9 8 7 8 9 10 9 7 5 4 5 6 7 8 8 8 7 7 8 10 11 12 13 13 12 nan
nan 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 10 10 9 8 7 7 7 8 9 10 9 9 8 8 8 8 8 8 9 11 11 11 11 11 11 11 9 7 7 8 9 10 11 11 11 11 11 11 10 9 8 7 7 7 8 8 8 9 10 11 10 10 10 10 10 10 10 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 10 11 13 14 15 15 15 14 12 12 12 12 11 10 10 10 12 13 13 11 10 10 10 10 9 8 7 6 5 5 6 6 6 8 10 12 13 12 9 6 4 3 3 4 6 7 9 9 9 8 8 9 10 11 10 9 7 7 6 6 6 6 6 6 7 7 8 9 10 11 12 13 13 nan
nan 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 9 8 8 7 7 8 9 9 9 8 8 8 8 8 8 8 10 12 12 12 12 11 11 10 8 7 7 9 11 12 12 11 10 10 10 10 10 9 9 9 9 9 8 7 7 8 9 10 10 11 11 11 11 10 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 11 12 12 14 15 15 14 13 13 13 13 12 11 10 10 12 13 13 12 11 10 10 9 9 9 9 8 6 6 6 6 6 6 7 10 13 12 10 8 6 4 4 4 4 5 6 7 7 7 7 7 9 11 11 10 9 9 8 7 7 6 5 5 6 7 8 9 10 10 10 11 12 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 9 9 10 10 9 8 8 8 8 7 7 8 9 9 8 8 8 8 7 7 8 10 11 11 10 9 9 9 8 7 6 7 9 10 10 10 10 9 10 10 10 10 10 10 10 11 10 8 7 7 8 8 9 10 11 12 12 11 11 10 9 9 8 8 8 7 7 6 6 6 7 7 7 7 7 7 8 9 9 9 10 11 12 13 13 13 13 13 13 12 10 9 9 10 11 11 12 11 11 10 10 10 11 11 10 8 7 7 7 7 6 5 7 10 11 11 11 9 7 5 4 4 4 4 5 6 6 6 7 8 10 11 10 9 9 9 9 8 8 6 5 5 5 6 7 9 9 9 9 11 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 8 8 8 8 7 8 8 9 9 9 9 8 8 8 8 8 9 9 8 6 7 8 8 7 6 6 7 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 10 11 11 12 12 11 10 10 9 9 9 9 8 7 7 6 6 7 7 7 7 8 8 8 9 9 8 7 7 8 9 11 12 12 12 11 10 9 8 8 8 9 10 11 11 10 10 10 10 11 11 11 9 8 8 8 8 7 5 5 7 9 12 14 13 11 8 7 5 5 5 5 6 7 6 7 7 9 10 10 9 9 9 9 10 9 8 7 6 5 5 6 7 8 8 8 9 nan
nan 9 9 9 9 9 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 6 6 6 7 7 6 6 6 7 8 9 8 8 7 8 9 10 10 10 10 10 10 11 11 12 12 11 10 9 9 9 10 11 12 12 11 11 10 9 10 10 9 9 8 8 7 7 7 7 8 8 8 8 9 9 8 7 6 6 6 7 9 11 11 11 10 9 9 9 8 7 8 9 10 10 9 8 8 9 10 11 10 10 9 8 8 8 8 7 6 6 7 10 14 16 14 12 10 8 7 7 7 7 7 7 7 7 8 9 10 9 9 9 10 10 10 10 9 7 6 6 6 7 7 7 8 8 nan
nan 9 9 9 9 9 8 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 6 6 6 8 9 9 8 7 7 7 8 10 11 10 9 9 10 11 11 10 10 10 9 9 8 9 9 10 10 11 11 10 10 10 11 11 11 9 8 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 6 7 9 10 10 10 10 10 10 9 8 7 7 8 8 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 6 7 11 14 15 14 12 10 9 9 8 8 7 7 7 7 7 8 8 9 9 9 10 11 11 11 10 9 8 7 7 8 7 7 8 8 nan
nan 9 9 9 9 9 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 7 7 7 8 9 8 7 6 6 7 8 10 10 9 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 11 10 9 8 8 9 9 10 10 10 10 10 9 9 8 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 6 8 10 12 13 12 11 9 9 9 9 8 8 7 7 7 7 7 7 7 7 9 10 11 11 11 11 10 9 9 9 8 8 9 9 nan
nan 9 9 9 9 8 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 9 9 9 9 8 7 7 7 8 9 7 6 5 5 6 8 9 8 7 8 9 10 10 10 9 8 8 8 9 9 9 8 8 7 7 8 10 11 13 13 13 12 10 9 8 9 10 11 11 11 10 9 9 9 8 7 7 7 8 9 8 8 9 9 9 9 9 9 10 10 10 9 9 8 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 6 7 8 9 11 11 10 10 9 9 10 9 9 8 8 7 7 7 7 6 6 7 8 9 10 10 10 10 10 10 10 9 9 9 9 nan
nan 9 9 9 8 8 7 6 6 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 8 8 9 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 8 8 9 10 11 10 10 9 8 7 7 8 8 7 6 5 6 7 9 8 7 7 8 9 10 9 9 9 9 9 9 9 8 9 8 8 7 7 8 9 11 13 13 13 11 9 9 9 10 11 12 12 11 10 9 9 9 8 7 7 8 9 9 9 8 8 8 8 7 7 8 9 9 10 10 10 10 11 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 10 10 10 10 10 11 11 10 10 9 8 8 7 7 7 6 6 7 8 8 9 9 10 10 10 10 9 9 10 10 nan
nan 8 8 8 8 7 7 6 5 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 10 10 10 9 8 8 7 7 8 9 9 9 9 8 8 8 9 9 9 9 10 11 11 11 11 11 10 9 8 8 9 9 8 8 9 9 10 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 8 7 8 9 10 12 12 12 10 8 8 9 11 12 12 11 10 10 10 11 10 10 9 9 8 9 9 9 9 9 8 7 6 6 6 6 7 8 8 9 11 12 11 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 11 11 11 12 12 11 10 9 8 8 8 7 7 7 7 7 8 9 9 9 10 10 9 9 9 9 10 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 10 10 10 9 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 12 12 11 10 9 10 10 11 11 11 11 11 11 11 11 11 11 9 8 8 8 8 8 7 7 8 9 10 10 9 8 8 9 10 11 10 10 9 8 8 9 11 11 11 10 10 10 11 12 11 11 10 10 9 9 8 9 9 9 8 7 6 6 5 5 5 6 7 8 9 10 10 10 9 8 8 8 8 9 9 9 8 7 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 11 12 13 13 12 11 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 8 8 9 9 nan
nan 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 8 8 8 7 7 7 8 9 9 9 9 8 8 7 7 8 8 9 9 9 10 11 11 11 10 10 10 11 11 12 12 12 13 13 13 13 11 10 9 8 6 6 7 7 7 7 8 8 9 10 10 9 8 8 9 10 10 9 9 9 9 9 9 10 10 10 8 8 8 10 11 10 10 9 9 9 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 10 11 10 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 8 9 11 12 13 14 14 12 11 10 9 8 8 7 7 7 8 9 10 10 10 10 10 9 9 8 9 nan
nan 8 8 9 9 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 8 8 8 9 9 9 9 9 9 9 10 11 12 12 12 13 14 14 12 10 8 7 6 5 6 6 6 7 8 8 9 9 9 9 8 8 8 9 10 10 10 9 9 8 8 8 8 9 8 7 6 6 7 8 8 7 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 8 7 7 6 7 8 10 11 11 11 10 9 10 11 11 10 10 9 8 8 7 7 7 7 7 7 7 8 7 7 7 8 9 10 13 14 15 14 13 12 10 9 8 7 7 6 7 9 10 10 10 10 10 10 9 8 8 nan
nan 8 8 9 9 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 8 9 9 8 8 8 8 9 9 9 9 8 8 7 7 9 10 10 9 8 7 6 7 7 8 8 8 8 8 8 9 9 9 10 10 10 9 10 12 14 14 12 9 8 7 6 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 8 7 6 7 7 7 6 5 4 4 5 5 5 5 5 5 5 6 7 8 9 9 9 8 8 9 9 9 9 8 8 7 7 8 9 11 12 11 10 9 9 9 9 10 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 9 11 13 14 16 15 12 10 8 7 7 6 7 8 9 10 10 11 11 10 10 8 8 nan
nan 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 9 10 9 9 9 8 8 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 9 10 11 10 9 8 8 7 7 7 8 8 8 9 10 11 10 9 9 9 8 8 8 11 14 14 12 9 8 7 7 6 5 5 7 8 8 8 7 7 8 8 8 7 7 8 9 10 11 11 10 9 7 6 6 6 5 4 4 3 3 3 3 3 3 3 4 5 6 7 8 9 10 9 8 7 8 9 10 10 11 10 10 9 9 9 10 12 11 10 10 9 9 7 7 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 8 9 12 15 15 14 12 9 8 7 7 7 7 8 9 10 11 11 10 10 9 8 nan
nan 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 10 9 9 9 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 9 8 7 7 9 10 11 11 11 10 9 9 8 8 8 8 9 10 12 12 11 9 8 8 8 8 9 11 14 14 12 10 8 7 7 6 5 6 7 8 8 7 7 7 7 8 8 7 8 9 10 10 10 9 9 8 7 6 6 4 3 2 2 3 3 3 4 4 4 5 5 6 7 7 8 8 9 9 8 8 8 9 10 11 11 11 11 11 10 9 9 10 11 12 12 12 11 9 8 8 9 8 8 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 6 6 8 10 10 11 12 10 9 8 7 7 8 8 9 9 9 10 10 9 9 9 nan
nan 9 9 10 10 10 9 9 9 8 8 7 7 7 8 9 9 10 9 9 9 8 8 7 7 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 10 10 9 8 7 7 8 9 11 12 12 11 10 10 9 8 8 8 8 10 11 11 10 8 8 8 8 8 9 11 13 14 12 11 9 7 6 6 6 7 7 7 7 6 6 7 7 8 8 7 8 9 10 9 8 8 7 6 5 5 4 2 1 2 3 4 5 6 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 9 8 8 9 10 12 13 13 12 11 10 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 5 5 6 8 9 9 8 8 8 9 8 8 8 8 8 8 8 9 8 nan
nan 9 9 10 10 10 9 9 9 8 8 8 7 7 8 9 9 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 8 8 8 9 11 12 12 11 11 10 9 8 8 8 8 8 9 10 9 8 8 8 8 8 8 10 12 13 13 12 11 9 7 7 7 8 7 7 6 6 7 7 7 7 7 8 8 8 8 7 7 6 5 4 3 3 2 2 3 4 5 6 8 9 10 10 11 11 12 11 11 11 10 10 9 9 8 7 7 8 9 10 9 8 8 8 10 10 9 8 8 8 10 12 13 13 13 12 11 10 9 8 8 8 9 9 8 8 8 8 9 9 9 9 9 10 9 8 8 5 3 3 5 7 7 7 8 9 9 9 8 8 7 7 7 8 8 8 nan
nan 9 9 10 9 9 9 9 9 8 8 8 7 7 8 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 8 8 9 11 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 11 12 13 12 11 10 9 9 9 8 8 7 7 7 7 7 8 8 7 6 6 5 5 6 6 5 4 4 4 4 4 6 7 8 10 11 12 13 13 13 14 14 13 13 13 12 12 11 11 9 8 7 7 9 10 9 8 7 8 9 11 10 9 8 7 8 11 12 13 13 13 12 11 10 9 8 8 9 9 8 8 8 8 9 9 9 9 9 10 10 11 11 9 6 5 5 5 6 6 7 8 9 9 9 9 8 7 7 7 7 7 nan
nan 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 7 6 6 6 6 6 6 6 7 8 9 9 9 8 8 8 9 9 9 8 8 9 10 11 11 11 11 10 9 8 8 9 9 9 8 7 6 7 8 8 8 8 7 7 7 9 11 13 13 13 12 11 10 10 10 9 8 8 8 8 7 7 7 6 5 5 5 6 7 7 6 6 5 6 6 7 8 9 10 12 13 14 14 15 15 15 15 15 14 14 13 13 13 13 11 9 8 8 10 11 10 9 8 8 10 11 11 10 9 7 7 9 10 11 13 14 13 12 11 10 9 8 8 8 8 7 8 8 9 9 9 9 9 10 11 12 13 12 10 9 8 7 6 6 7 8 8 9 10 10 9 7 7 7 7 7 nan
nan 9 9 9 9 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 8 8 8 8 7 7 7 6 7 7 7 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 10 9 8 8 9 9 9 8 7 7 7 8 7 7 7 7 7 9 10 12 13 13 12 12 11 10 10 10 9 9 9 9 8 7 6 6 5 6 6 6 7 9 8 8 7 7 8 8 9 9 10 11 13 14 15 15 15 16 16 16 16 15 14 13 13 14 14 13 11 10 10 11 12 12 10 9 9 10 11 11 10 9 8 8 8 9 10 11 14 15 14 12 11 10 10 9 8 8 7 7 8 9 9 10 10 10 9 10 12 13 14 13 12 11 10 9 8 8 8 9 9 10 10 9 9 8 8 8 8 nan
nan 9 9 9 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 8 9 9 8 8 8 8 8 9 8 8 9 10 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 11 13 13 13 12 12 11 11 10 9 9 9 10 10 9 8 6 4 4 5 7 7 8 9 10 9 9 9 9 9 9 9 10 10 12 13 14 15 16 16 16 16 17 17 17 16 15 14 13 13 13 12 12 11 12 12 12 12 10 9 9 10 10 10 10 9 8 8 8 8 10 12 14 14 13 12 12 11 10 9 8 8 7 8 8 9 10 10 10 9 9 11 12 14 15 15 14 14 12 11 10 10 10 10 10 9 9 9 9 9 9 9 nan
nan 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 10 11 12 13 13 12 11 11 11 11 10 10 9 8 8 8 9 9 7 5 4 4 5 6 8 9 10 10 10 9 9 9 9 9 10 10 11 12 14 15 16 17 17 18 18 18 18 18 18 17 16 15 13 12 11 12 12 12 11 11 11 11 11 10 9 9 10 10 9 9 8 8 8 9 10 11 12 12 12 12 12 10 9 9 8 8 7 7 8 10 11 11 10 9 9 10 12 14 15 16 15 14 12 11 10 11 10 10 10 10 9 10 10 10 10 nan
nan 9 9 9 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 10 10 9 8 8 8 7 7 7 8 8 7 7 7 7 6 6 6 6 7 7 7 7 8 8 9 9 9 9 8 7 7 7 8 9 9 10 10 10 9 9 8 8 9 9 9 9 10 11 10 10 10 11 12 13 13 12 11 10 9 9 9 9 8 7 7 7 7 7 8 8 7 6 5 5 6 7 9 9 10 10 10 10 10 9 10 10 11 12 13 15 16 17 18 19 19 20 20 20 20 20 19 18 16 14 11 10 12 13 12 10 9 9 11 13 12 10 9 8 8 9 9 9 8 8 9 9 10 11 11 12 12 11 11 10 10 9 8 7 6 7 9 10 11 11 10 9 8 9 11 13 15 15 14 12 11 10 11 11 10 10 10 10 10 10 10 11 nan
nan 9 9 9 9 8 8 7 7 8 8 9 9 9 9 8 8 8 9 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 7 8 9 9 10 11 11 10 10 11 12 13 13 13 12 10 9 8 8 7 6 6 6 7 7 7 7 7 8 8 8 7 6 5 6 7 9 9 10 10 10 10 10 10 10 11 13 14 16 17 18 19 20 21 22 22 23 23 22 21 20 18 14 11 11 13 14 13 11 9 8 10 13 13 11 10 8 8 8 9 10 9 9 9 9 10 11 12 12 12 11 11 11 10 9 8 7 6 6 7 9 10 11 11 10 9 7 8 10 12 13 12 12 11 10 10 10 11 11 11 10 9 9 10 11 nan
nan 9 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 9 10 10 10 10 9 9 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 8 7 8 9 10 11 11 10 10 10 11 12 13 13 13 11 9 8 7 7 7 6 6 6 7 7 7 7 8 8 8 7 6 5 4 5 7 9 9 10 10 11 10 10 10 11 11 13 14 16 17 18 18 19 21 23 24 25 25 24 23 21 18 15 11 11 13 14 13 12 10 9 10 11 11 10 9 8 8 8 9 10 10 10 10 10 9 10 11 12 13 12 11 10 10 9 8 7 7 6 6 8 9 11 12 12 11 10 9 9 9 10 11 10 10 9 9 9 10 10 10 10 9 9 9 10 nan
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nan 11 11 12 12 12 11 11 12 12 12 13 13 13 13 12 12 11 10 10 9 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 7 8 8 8 8 9 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 6 2 -2 -4 -1 2 5 7 7 8 10 14 21 25 24 20 15 12 11 10 9 9 9 10 9 8 7 6 6 7 8 8 7 6 5 5 7 9 12 14 15 14 12 10 9 7 5 4 5 7 10 12 13 15 18 18 15 12 10 9 8 8 9 9 9 9 8 8 9 9 9 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 7 8 8 8 8 8 9 10 11 11 11 10 10 10 10 9 9 8 7 7 7 8 8 8 8 7 7 7 4 0 -3 -2 1 4 6 7 7 8 12 18 24 24 21 16 12 11 10 10 9 9 10 11 11 10 8 7 6 7 7 6 4 3 2 2 3 6 9 12 13 12 11 10 8 5 4 5 7 10 11 13 15 18 19 16 14 11 9 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 11 12 12 11 11 12 12 12 12 12 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 10 9 9 9 10 11 11 10 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 7 3 -1 -2 0 3 5 6 7 7 10 15 21 24 23 17 12 10 10 10 9 9 10 12 13 13 12 10 8 7 7 6 5 3 1 -0 -1 0 2 6 10 11 12 12 10 8 6 7 8 10 11 12 15 18 19 18 15 12 9 8 7 7 7 6 7 7 8 7 7 7 7 nan
nan 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 11 12 12 13 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 8 8 8 8 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 9 8 5 1 -1 -0 1 4 5 6 7 8 12 18 22 23 18 12 11 10 10 10 9 9 10 12 14 13 12 11 10 8 7 6 5 4 2 1 -1 -1 1 4 7 10 11 11 9 9 9 10 10 11 12 15 18 18 17 15 13 11 10 10 9 8 7 7 7 7 7 6 5 6 nan
nan 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 13 12 12 12 11 11 11 11 11 10 10 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 10 10 11 11 10 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 7 3 1 -0 0 2 4 5 6 7 10 14 20 21 18 14 11 10 11 10 9 9 10 12 14 13 13 12 11 10 8 7 7 7 6 5 2 -0 -1 0 3 6 9 10 9 9 9 9 10 11 12 15 17 17 17 16 14 13 12 12 12 10 9 8 7 6 6 5 5 5 nan
nan 11 11 12 12 12 11 11 10 10 9 9 9 8 8 8 8 8 9 10 11 11 11 11 10 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 10 10 11 12 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 11 11 10 10 10 10 9 9 9 9 10 11 10 9 8 8 8 9 9 8 8 7 8 8 8 9 9 9 9 8 7 5 3 1 0 1 3 4 5 6 8 12 17 19 18 15 11 10 10 9 9 9 10 13 14 13 13 12 11 10 8 7 7 7 8 7 6 3 1 -0 0 3 7 8 8 8 9 9 10 11 12 13 15 16 17 16 15 14 13 13 13 11 10 8 7 7 6 6 6 6 nan
nan 9 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 10 11 11 12 11 11 11 10 10 10 9 9 8 7 7 7 8 8 9 9 9 9 9 9 10 10 11 12 13 13 14 13 13 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 10 10 9 8 8 8 9 10 10 10 10 9 9 9 10 10 9 8 7 7 8 8 9 10 9 9 8 7 6 4 2 1 1 2 3 4 5 7 10 14 18 18 16 12 9 9 9 8 9 11 13 13 12 12 12 11 10 9 8 7 7 8 8 8 7 4 2 -0 2 6 7 8 8 9 10 11 11 12 12 13 14 16 16 15 14 13 13 12 11 10 9 9 9 8 8 8 8 nan
nan 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 10 10 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 10 11 12 13 13 13 13 13 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 8 8 8 8 9 9 10 10 10 10 10 10 10 11 10 9 8 8 8 8 9 10 10 9 8 7 6 5 3 2 2 2 3 4 5 6 8 11 15 18 16 13 10 9 8 8 9 11 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 7 3 0 1 4 6 8 8 9 10 11 12 12 11 12 12 13 14 14 13 12 11 11 11 11 11 10 10 10 9 9 10 nan
nan 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 11 12 12 13 13 12 12 11 11 10 10 9 9 8 8 7 8 8 8 8 8 8 9 9 9 10 11 11 12 13 13 13 13 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 10 9 9 9 10 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 8 8 9 9 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 9 10 10 9 8 7 6 5 3 2 2 2 3 4 5 6 9 13 16 16 13 10 9 9 8 9 10 11 12 12 12 11 10 10 10 9 10 10 10 10 10 9 8 5 2 2 3 6 7 8 9 10 11 12 11 11 10 10 11 12 13 12 12 11 11 12 13 12 11 10 9 8 8 9 nan
nan 10 9 9 8 9 9 9 10 10 9 9 9 9 10 10 11 11 12 13 13 13 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 13 13 13 13 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 9 8 8 7 7 5 4 3 2 3 4 5 5 7 11 14 15 14 11 9 9 8 8 9 11 12 12 11 10 10 10 9 9 9 10 10 10 10 10 9 6 4 3 4 6 7 8 9 10 11 11 10 10 9 10 10 11 11 11 11 10 11 11 11 10 9 8 7 7 8 9 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 13 13 13 13 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 12 11 10 10 10 10 10 10 10 9 7 5 3 2 3 3 4 5 6 9 12 13 14 12 10 9 8 9 10 11 12 11 11 10 9 9 8 8 9 10 10 9 10 10 9 7 5 4 5 6 7 8 8 9 10 10 10 9 9 9 9 10 10 9 9 8 9 9 8 8 7 7 6 7 8 9 nan
nan 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 13 13 13 13 12 12 11 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 9 9 10 11 12 12 12 10 9 8 9 9 9 9 10 9 9 9 9 10 9 9 9 10 10 11 11 11 11 11 11 11 11 12 11 11 11 10 10 11 12 13 13 12 11 11 10 10 11 11 12 12 11 9 6 4 3 3 3 4 5 5 7 8 10 11 11 9 8 8 11 13 12 11 10 9 8 8 7 8 8 9 9 9 9 9 9 9 7 6 6 6 6 6 6 7 8 9 9 10 9 9 8 8 8 8 7 6 6 6 7 6 6 5 5 5 6 8 9 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 13 13 13 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 11 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 12 10 7 5 4 3 3 4 4 5 5 6 7 8 9 7 7 8 11 13 12 10 9 8 8 7 6 7 8 9 9 9 9 9 9 9 7 6 5 5 6 6 6 6 7 8 9 9 9 8 7 6 6 6 5 4 5 5 6 6 6 5 5 5 6 8 10 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 8 8 9 9 11 12 13 13 13 13 13 12 12 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 11 11 10 10 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 10 8 6 5 4 3 4 4 5 5 5 6 6 6 6 6 8 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 8 7 5 4 4 5 6 6 6 7 7 8 8 8 8 6 5 4 4 4 4 4 4 5 6 6 6 6 6 7 9 10 11 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 11 12 13 13 13 13 12 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 12 11 11 10 10 11 12 12 12 12 12 13 13 12 11 10 8 5 4 4 4 4 5 5 5 6 5 6 6 6 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 7 5 4 4 5 6 7 7 7 7 7 8 8 8 8 6 5 4 4 4 3 4 4 5 6 6 7 7 9 10 12 13 12 nan
nan 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 7 7 8 9 10 11 12 13 13 13 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 10 11 11 11 10 9 9 9 10 10 11 11 10 10 11 12 12 12 12 12 12 12 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 10 7 5 5 4 5 5 6 6 6 6 6 6 7 8 8 8 9 9 10 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 7 7 7 7 8 9 9 10 9 9 7 6 5 4 4 3 3 4 5 6 8 9 11 13 14 13 12 nan
nan 9 9 9 10 10 10 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 9 10 10 10 10 9 8 7 7 7 8 9 11 12 13 13 13 12 12 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 10 10 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 12 9 8 6 6 6 7 7 7 7 6 6 7 8 9 9 9 10 10 10 11 11 10 10 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 10 11 12 12 12 11 10 8 6 4 3 3 4 5 6 9 11 13 14 14 12 11 nan
nan 9 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 11 10 9 8 8 7 8 9 10 12 13 13 13 12 12 12 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 9 9 9 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 13 14 13 11 10 9 8 8 9 9 8 8 7 7 8 10 11 11 12 12 11 11 11 11 10 9 9 8 9 10 11 12 13 14 14 14 13 13 12 11 11 12 12 13 13 14 13 13 13 13 12 11 9 7 5 4 5 6 7 10 13 13 13 12 11 10 nan
nan 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 11 11 11 11 11 11 11 11 10 9 9 8 8 8 10 11 12 13 13 12 12 12 12 11 11 10 10 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 10 10 10 9 9 9 9 10 10 11 10 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 11 12 12 12 12 12 11 11 11 10 11 11 12 12 12 12 11 11 10 10 10 9 9 9 10 11 12 13 14 15 14 14 14 13 11 9 9 9 9 11 13 15 17 18 18 19 19 18 17 16 16 16 16 16 15 15 14 12 12 12 12 12 12 11 9 7 7 7 7 9 11 12 12 12 12 12 12 nan
nan 9 9 10 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 11 11 12 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 11 12 12 12 11 10 10 9 10 10 11 12 14 15 16 16 16 16 17 16 14 11 9 9 8 9 11 14 16 17 17 17 18 18 19 18 17 17 16 15 14 13 12 10 10 9 10 11 12 12 12 11 10 10 10 11 12 12 12 12 12 13 14 13 nan
nan 9 9 10 11 12 12 12 11 10 10 9 9 9 9 9 8 8 8 9 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 10 11 11 11 10 10 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 11 11 10 9 9 9 11 12 13 14 14 15 16 16 16 15 14 12 9 8 8 8 8 10 12 13 13 12 11 12 13 14 15 14 14 13 12 11 10 9 8 8 9 10 11 12 13 13 13 13 13 13 13 13 12 12 12 13 13 13 12 nan
nan 10 10 11 12 12 12 12 11 10 10 10 10 10 9 8 8 8 8 9 10 11 13 14 14 14 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 12 12 11 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 11 10 10 9 8 9 10 11 12 12 13 13 14 14 13 12 11 9 8 8 8 8 9 10 10 10 10 9 10 11 12 14 15 15 14 13 12 12 11 10 10 10 10 11 12 12 12 13 13 14 13 13 13 12 12 12 12 12 12 11 11 nan
nan 11 11 12 12 12 12 11 11 11 11 11 11 11 10 9 8 8 8 9 10 12 14 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 14 14 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 11 11 11 11 12 12 10 9 9 9 9 9 10 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 11 11 11 10 9 9 8 9 9 11 12 12 12 12 12 11 11 10 9 8 8 8 9 10 10 10 10 10 11 12 14 17 19 19 18 17 16 15 14 13 12 11 11 11 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 13 12 12 12 11 12 12 12 12 12 12 11 10 10 10 12 13 15 17 18 18 17 17 17 17 18 18 18 17 17 17 17 17 18 18 18 18 17 16 15 14 13 12 11 10 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 10 11 13 13 12 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 10 11 11 11 11 11 11 10 9 8 8 9 9 10 11 11 11 11 11 13 14 15 17 19 19 18 16 15 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 nan
nan 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 15 16 18 19 20 19 18 17 16 16 16 16 16 16 15 15 15 15 16 17 18 18 19 19 18 18 18 17 16 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 12 12 11 11 12 13 14 13 11 10 9 9 9 9 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 12 12 12 13 13 13 14 13 12 12 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 12 12 12 11 12 12 12 13 14 15 15 14 13 12 12 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 12 nan
nan 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 15 16 17 19 20 21 20 19 17 15 14 12 12 12 11 11 11 11 11 11 12 13 14 16 17 17 17 17 18 17 17 17 17 16 15 14 14 14 14 14 13 13 13 13 13 14 14 15 15 14 13 12 12 13 13 13 12 11 11 10 10 10 11 11 11 10 10 10 10 10 11 11 10 10 9 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 12 12 12 12 13 14 15 15 14 14 13 13 12 10 9 9 9 8 8 8 8 8 8 7 6 7 9 11 13 14 13 13 12 12 11 11 11 12 12 13 13 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 14 14 14 13 14 14 14 14 14 14 14 13 13 13 14 14 15 16 18 19 18 17 15 13 11 9 8 8 7 7 7 7 7 8 9 9 9 10 11 12 13 13 14 14 15 16 17 17 17 16 15 14 14 15 15 15 15 14 14 14 15 16 16 16 15 14 13 13 13 12 12 11 10 10 11 11 12 12 12 11 10 9 9 9 10 10 11 11 11 10 10 9 9 8 7 6 6 6 8 9 10 11 12 12 12 12 12 12 11 11 10 10 10 10 11 12 13 14 13 13 13 13 14 13 13 12 13 13 11 10 9 9 10 10 9 9 9 8 8 6 6 8 10 12 13 13 12 12 11 11 11 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 nan
nan 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 14 14 14 13 12 10 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 13 14 15 15 15 14 14 14 15 15 15 15 15 15 15 15 16 16 17 16 16 14 14 13 12 12 11 10 10 11 11 12 13 13 12 11 10 9 8 8 9 10 11 12 13 13 12 10 8 6 5 4 5 6 7 9 10 10 10 11 11 11 11 11 11 10 10 10 10 12 14 15 16 15 13 12 11 11 10 9 9 10 10 9 8 8 9 10 11 11 10 10 9 9 7 8 9 11 13 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 15 15 15 14 14 13 14 14 15 15 15 14 13 12 11 11 11 11 11 10 9 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 14 15 16 17 17 16 16 15 14 14 13 12 12 12 12 11 12 13 14 14 13 12 11 9 7 7 8 9 13 16 17 16 13 9 6 4 3 4 5 6 7 8 8 8 8 9 9 10 11 11 11 11 10 11 13 15 17 17 15 12 10 8 7 7 6 6 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 12 13 13 13 13 12 10 10 10 10 10 10 10 10 10 10 10 9 nan
nan 16 16 15 14 13 13 13 14 14 14 13 12 11 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 15 16 16 16 16 16 15 15 14 14 14 13 13 12 12 13 13 15 15 16 15 13 9 7 6 7 11 15 17 18 15 12 9 6 5 4 5 6 6 6 5 5 5 5 6 8 10 12 13 13 12 13 14 16 16 16 13 10 8 6 5 5 4 4 5 5 6 6 7 8 8 8 8 7 7 6 6 6 7 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 10 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 3 3 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 30 57 97 151 205 223 194 189 273 324 307 342 465 611 661 490 248 124 73 53 43 32 14 9 14 23 38 59 83 98 107 136 192 236 268 297 310 280 231 191 153 122 105 102 102 102 105 101 97 93 88 98 137 216 317 494 734 997 1224 1220 1085 935 828 772 766 816 920 1004 1064 1059 996 908 830 784 822 870 872 858 869 919 966 983 1007 967 997 1110 1194 1138 1098 1100 1139 1191 1226 1283 1414 1547 1623 1699 1787 1840 1841 1822 1820 1849 1841 1816 1785 1746 1692 1614
0 0 0 0 0 0 0 0 0 0 0 1 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 2 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 4 9 16 30 57 86 138 189 211 195 163 159 227 256 281 361 500 609 521 283 150 101 82 69 58 49 27 14 9 8 15 28 47 61 70 95 140 205 283 357 400 384 337 280 223 174 137 117 110 112 111 104 95 77 46 63 106 158 214 300 447 681 1027 1142 1129 1047 935 827 761 777 877 954 995 996 969 932 880 825 812 831 796 721 675 712 801 911 1026 1082 1124 1177 1208 1202 1224 1201 1154 1132 1150 1174 1203 1335 1461 1575 1676 1755 1807 1836 1848 1862 1843 1825 1817 1808 1785 1712
0 0 0 0 0 0 0 0 0 0 0 3 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 1 2 4 5 3 2 2 2 2 1 2 2 4 7 14 22 31 49 101 179 199 198 182 156 143 173 296 444 594 611 551 536 370 205 142 118 100 81 67 64 49 31 18 10 9 15 25 39 53 77 115 176 257 339 401 430 431 364 295 253 204 141 112 113 116 111 101 90 74 84 107 129 151 184 248 375 610 770 902 991 995 903 778 739 816 891 922 924 923 929 913 864 804 744 650 526 424 435 506 691 872 994 1066 1120 1152 1127 1142 1136 1095 1037 990 980 998 1143 1308 1460 1588 1698 1801 1856 1866 1841 1821 1826 1849 1873 1873 1802
0 0 0 0 0 0 0 0 0 0 0 2 4 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 1 0 0 0 0 0 1 3 6 9 9 8 8 8 9 9 8 9 10 13 16 20 28 39 56 111 195 187 156 136 127 134 191 333 355 510 651 647 546 357 232 183 145 115 95 83 84 75 52 30 16 11 10 11 19 33 56 93 149 217 280 335 399 424 380 336 323 275 197 148 122 114 110 102 98 108 117 122 124 121 121 143 193 283 386 545 793 996 983 865 795 821 866 891 887 864 850 847 811 755 670 548 397 239 221 284 447 611 733 818 869 932 924 919 930 937 905 816 802 865 1011 1190 1354 1488 1618 1760 1840 1853 1834 1821 1835 1871 1906 1921 1857
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 5 8 11 13 14 14 15 16 16 16 17 19 21 22 24 28 39 62 95 140 147 132 117 111 122 158 213 197 299 484 612 569 384 231 178 161 144 124 109 105 94 65 38 22 14 9 7 12 20 33 61 116 196 267 288 342 372 368 354 342 309 257 197 153 125 110 101 96 96 110 120 125 117 101 96 107 131 173 273 558 937 1054 987 895 857 861 868 845 791 743 704 660 616 554 465 354 213 159 186 251 317 379 443 505 588 624 647 684 739 795 722 701 773 930 1112 1258 1348 1457 1629 1774 1848 1857 1833 1823 1877 1914 1922 1861
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 7 11 14 17 18 18 19 19 21 22 24 27 29 30 31 35 45 71 97 124 134 127 112 106 113 129 143 173 270 397 472 441 273 216 218 215 204 200 196 186 146 76 36 23 16 11 10 12 16 22 37 76 144 214 264 337 390 410 411 410 368 317 260 208 162 127 107 100 98 107 117 125 124 109 90 84 83 98 163 409 839 1078 1051 970 902 870 851 804 738 667 590 520 465 409 336 282 209 160 139 125 126 153 153 189 256 327 381 408 456 607 613 650 743 890 1067 1227 1313 1397 1527 1683 1799 1829 1804 1802 1864 1903 1910 1853
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