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 7 7 6 6 6 6 6 7 7 7 8 8 7 6 6 5 6 6 6 6 7 8 8 8 7 7 6 6 7 7 7 7 6 6 7 7 8 9 10 10 11 11 10 9 8 8 8 7 7 7 7 6 6 6 6 6 6 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 10 10 10 9 8 7 7 6 5 5 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 9 8 7 6 7 8 9 10 10 9 9 9 9 8 8 7 6 4 4 3 3 4 4 5 7 9 9 8 8 7 7 8 9 9 8 8 7 7 7 9 11 12 12 12 11 10 10 10 9 8 8 8 8 nan
nan 8 7 7 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 7 6 6 6 6 7 7 7 7 6 6 7 7 8 9 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 9 11 12 11 10 9 8 7 6 6 6 6 6 6 7 8 9 9 9 8 7 7 6 6 6 6 7 7 7 7 6 7 7 7 8 9 9 9 9 9 9 9 10 11 11 10 9 8 8 7 7 7 7 7 8 10 10 9 8 7 7 8 9 10 10 9 8 8 8 7 8 9 8 7 5 4 3 3 2 3 5 7 7 7 7 7 7 7 8 9 9 8 8 8 7 8 10 11 12 13 13 11 11 10 9 7 7 8 8 nan
nan 8 7 6 6 6 7 8 9 9 9 9 9 9 8 9 9 9 8 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 6 7 8 8 9 9 9 10 9 8 8 7 7 6 6 7 8 8 8 9 9 7 6 6 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 11 11 11 11 10 9 8 8 8 7 6 6 6 7 9 10 10 10 9 8 7 6 5 5 6 6 6 7 6 6 7 7 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 9 8 7 6 6 6 7 8 9 9 9 9 8 8 9 10 11 10 9 8 7 7 8 9 10 9 8 7 6 4 3 2 3 4 4 4 5 6 7 7 8 8 8 9 8 8 8 8 9 10 11 12 13 12 12 11 10 8 7 7 8 nan
nan 8 7 6 5 6 7 8 9 10 10 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 7 7 8 9 9 7 6 7 8 9 9 9 9 10 9 8 7 8 7 6 6 7 8 9 9 10 9 8 6 6 7 7 7 7 7 7 8 10 10 10 9 8 8 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 8 7 6 6 7 9 11 11 10 9 8 8 7 6 6 6 6 6 6 6 6 7 8 8 7 7 7 8 9 9 9 10 10 10 10 12 13 13 12 11 8 6 6 6 6 7 8 9 9 9 9 9 9 10 11 10 9 8 7 7 8 9 10 10 10 9 8 6 5 4 3 3 2 3 4 5 7 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 10 9 8 7 7 nan
nan 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 9 9 7 6 7 8 9 9 8 9 10 9 8 8 8 8 7 7 7 8 9 10 10 9 7 7 8 8 8 7 7 6 7 8 10 10 10 9 9 9 10 10 8 7 7 7 7 8 8 9 10 11 11 10 9 8 7 6 6 7 9 11 11 10 10 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 7 8 9 10 11 11 11 11 10 10 11 13 14 14 14 12 10 8 7 7 7 7 8 8 9 9 9 9 10 11 11 9 8 7 7 7 7 8 9 9 8 8 8 8 7 6 4 3 3 4 5 7 8 9 9 9 9 8 8 7 7 8 9 10 11 11 11 11 11 11 9 9 8 8 nan
nan 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 7 7 7 8 9 9 9 10 10 10 9 8 8 8 7 7 7 8 8 9 9 8 8 8 9 9 8 8 8 8 8 9 10 10 10 10 9 10 10 9 9 8 7 7 8 8 9 10 10 10 10 10 8 7 7 7 7 8 9 10 11 11 10 10 10 9 8 7 7 7 7 6 6 5 4 4 4 6 8 9 10 10 11 11 11 11 9 9 10 11 12 14 15 15 13 11 9 8 7 7 7 7 8 8 8 8 9 11 11 10 9 8 8 7 6 6 7 8 8 8 9 10 10 9 8 6 5 5 6 8 9 10 10 10 10 9 8 7 7 8 8 10 11 10 10 9 10 10 10 9 9 9 nan
nan 7 7 7 7 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 10 11 10 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 9 8 7 8 8 8 8 9 10 11 11 10 10 9 8 8 7 7 7 7 7 6 4 3 3 5 7 9 10 10 10 10 10 10 9 9 9 10 10 11 12 13 14 14 13 10 9 9 8 7 6 7 7 7 7 8 9 10 10 10 10 9 7 6 6 7 7 8 9 9 10 10 10 10 8 7 7 9 10 10 10 10 11 11 10 9 8 8 8 8 9 10 11 11 10 9 10 9 9 9 8 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 7 7 8 8 7 7 7 7 7 7 7 6 6 5 5 5 6 7 8 8 9 9 9 10 10 10 10 10 9 7 6 8 9 10 10 10 10 10 10 11 11 11 11 10 11 11 11 12 12 12 12 11 10 10 9 9 9 8 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 9 10 11 11 10 10 9 9 8 7 7 7 7 7 6 4 4 4 6 8 9 10 10 9 9 8 9 9 10 10 10 9 9 10 11 13 13 12 10 10 10 8 7 6 6 7 7 7 8 8 9 9 10 11 10 8 7 7 7 7 7 7 7 8 9 9 9 8 8 9 11 11 11 9 9 10 11 11 10 9 9 8 8 8 9 11 11 11 10 10 10 8 8 8 nan
nan 7 6 7 7 7 6 6 6 7 7 8 8 8 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 5 5 5 6 7 8 9 9 9 10 10 10 10 10 9 8 7 7 8 10 11 11 11 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 8 9 9 9 9 8 9 10 11 12 11 11 10 9 8 8 7 6 6 6 6 5 5 5 7 8 9 9 9 9 8 8 9 9 10 10 9 8 8 9 10 11 11 11 11 11 10 9 7 6 6 6 7 8 8 8 8 8 9 10 9 8 8 7 7 7 7 7 6 6 7 8 8 8 8 10 11 11 9 7 7 8 10 11 11 11 10 10 9 9 9 9 9 10 11 11 10 9 8 8 nan
nan 7 6 6 6 6 6 6 6 6 7 7 8 7 7 7 7 7 8 8 8 7 7 6 6 5 5 5 5 5 5 5 6 6 8 8 9 9 10 10 10 10 10 9 8 7 7 8 9 11 12 11 10 9 7 6 7 8 9 9 9 9 9 8 9 10 10 10 9 8 7 7 7 7 7 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 9 10 11 12 12 12 11 10 9 8 7 7 6 6 6 6 5 6 7 7 8 9 9 9 9 8 8 9 9 9 8 7 7 8 9 9 10 10 11 11 11 10 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 8 8 9 9 9 9 10 10 9 8 6 6 7 8 9 10 11 11 11 10 10 9 9 8 9 10 11 11 10 9 8 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 5 5 5 5 5 5 6 6 7 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 10 11 11 10 8 7 6 7 7 8 8 9 8 7 7 7 8 9 9 8 7 7 7 7 7 7 7 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 10 11 12 12 12 11 10 9 8 8 7 6 6 6 6 6 6 7 7 7 8 9 9 8 8 8 8 9 9 9 8 8 8 9 9 10 10 10 10 11 11 11 11 10 9 8 6 6 7 8 9 9 8 8 8 7 8 8 9 9 10 11 11 12 12 12 12 11 10 9 8 8 7 6 6 6 7 8 10 11 11 10 10 10 10 9 9 10 11 12 12 11 9 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 10 9 9 8 7 8 9 10 10 10 9 9 8 8 8 8 8 8 7 6 6 7 7 8 9 8 7 6 6 7 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 8 9 9 10 11 12 11 11 10 8 8 8 7 6 6 5 6 6 7 7 6 7 8 8 8 8 8 7 7 8 9 11 12 11 10 10 9 9 9 9 10 10 11 11 11 11 10 8 7 6 7 8 9 10 10 10 10 10 8 6 6 7 8 9 11 12 13 13 13 12 10 8 7 8 9 8 7 6 5 6 8 10 10 11 11 10 10 9 9 11 12 13 13 12 10 nan
nan 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 10 9 9 8 8 7 8 8 9 9 9 9 9 10 9 8 8 9 9 7 5 5 6 7 8 8 7 6 5 5 6 8 10 10 10 9 9 9 8 8 8 8 10 10 11 10 10 10 9 8 8 8 9 10 11 11 11 11 10 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 7 6 7 8 10 13 14 14 12 11 10 10 9 9 10 11 11 11 11 11 10 9 7 6 6 7 9 11 11 11 11 11 10 7 4 4 5 6 7 9 11 12 12 11 9 7 7 9 10 9 8 7 6 6 6 7 9 10 10 10 9 8 10 12 13 14 14 12 11 nan
nan 9 9 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 10 10 10 9 7 6 6 7 8 9 10 9 8 8 9 9 8 8 9 10 11 8 6 6 8 9 9 7 6 5 5 5 7 9 10 11 10 9 8 8 7 6 7 8 9 10 10 10 9 9 9 8 8 8 9 10 10 11 11 11 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 7 7 8 10 12 13 14 13 13 12 11 10 10 10 10 10 11 11 11 10 9 8 7 7 7 8 10 10 10 10 10 10 8 6 5 5 4 4 5 8 10 11 10 9 7 8 10 11 11 10 9 8 6 6 6 7 8 9 9 8 9 10 12 14 15 14 13 12 nan
nan 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 8 7 6 6 7 8 10 10 9 8 8 8 8 8 7 9 12 13 11 8 9 11 11 9 6 5 6 7 8 9 10 10 10 9 9 8 7 6 6 7 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 8 7 7 8 9 10 12 12 13 13 12 11 11 10 9 9 10 11 12 11 10 10 8 7 6 7 8 8 8 9 9 10 9 8 7 6 5 4 3 5 7 8 9 9 8 8 10 11 12 11 10 9 8 7 6 7 7 7 7 8 9 10 11 13 13 14 14 13 nan
nan 9 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 9 9 8 8 8 8 8 9 10 9 8 8 8 8 7 7 10 13 13 11 9 10 11 10 7 5 5 7 9 10 10 10 10 9 10 10 9 7 7 7 9 10 9 8 7 7 7 8 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 9 8 7 7 6 6 7 8 10 12 13 13 13 12 11 10 9 10 10 11 11 11 10 10 8 7 7 7 8 8 8 9 11 11 10 9 8 7 5 3 3 4 5 6 7 7 7 7 9 10 11 10 10 9 9 8 8 8 7 7 7 7 8 9 10 11 12 13 14 nan
nan 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 5 6 6 6 7 7 8 9 9 9 10 10 9 9 9 10 10 9 8 8 9 9 9 8 8 8 7 6 8 11 13 12 9 8 9 9 7 5 5 7 8 10 10 10 10 9 10 10 10 9 8 8 9 10 10 9 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 9 9 8 8 7 6 5 5 6 8 11 13 14 15 14 13 12 11 12 12 12 12 12 12 11 9 8 7 7 7 8 8 9 10 11 11 11 10 8 6 4 3 3 3 4 4 5 5 5 6 7 8 8 8 9 9 9 10 9 8 7 6 6 6 8 8 8 9 10 12 nan
nan 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 5 5 5 6 6 7 8 8 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 10 11 11 9 7 7 8 7 5 5 7 8 10 10 9 9 9 10 10 10 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 6 6 8 10 12 13 14 14 13 13 12 12 13 13 12 12 12 12 10 9 8 8 8 7 8 8 9 10 11 12 11 9 7 6 5 4 4 4 4 5 5 4 4 5 5 6 6 6 7 8 10 10 10 8 7 6 6 6 7 7 7 8 10 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 5 5 5 5 6 6 7 8 8 8 9 9 9 9 9 10 10 9 8 8 8 8 8 8 9 9 9 9 8 9 9 9 8 7 6 7 8 7 7 7 8 9 10 10 10 9 9 10 10 10 9 9 8 8 9 10 10 10 11 10 10 9 9 9 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 8 8 9 8 8 8 7 8 8 8 7 7 7 7 8 10 11 12 12 12 12 11 10 10 11 12 12 12 12 11 10 9 8 8 8 7 7 7 8 10 11 12 11 10 8 8 7 7 7 6 5 5 4 4 4 5 5 5 5 5 6 8 10 10 9 8 7 7 7 7 7 7 7 9 nan
nan 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 5 6 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 8 7 6 6 6 7 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 9 9 8 9 10 9 9 9 9 9 8 8 9 9 10 10 9 9 9 10 10 9 9 9 10 9 9 8 7 7 8 8 9 9 9 8 8 9 9 8 7 7 7 8 9 9 9 8 8 8 9 10 10 11 11 10 9 8 8 8 10 11 11 11 11 11 10 10 9 8 8 7 7 7 8 9 11 11 11 11 11 10 10 9 8 6 5 5 5 5 5 6 6 5 4 4 6 8 9 10 10 9 8 8 8 7 7 8 8 nan
nan 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 7 7 6 6 5 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 8 7 6 6 6 7 8 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 10 9 8 8 8 8 8 8 8 8 9 9 8 8 9 11 11 10 10 10 10 9 9 8 7 7 8 9 10 9 8 7 8 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 9 8 8 7 7 8 10 10 10 10 11 11 11 10 9 9 8 7 7 7 7 8 9 10 10 11 11 11 10 9 8 6 5 5 5 5 6 6 5 3 3 4 6 7 9 11 11 10 10 9 8 7 8 9 nan
nan 8 8 8 8 8 8 8 9 10 9 9 8 8 7 7 8 7 7 6 7 7 8 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 8 8 8 7 7 6 6 5 5 5 7 8 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 9 10 11 11 10 9 9 9 8 8 8 8 9 10 9 8 7 7 7 7 7 8 9 10 11 11 10 10 10 10 10 10 9 9 9 9 9 8 9 8 7 7 7 9 9 9 9 10 11 11 11 10 9 9 8 7 7 7 7 7 7 8 9 11 11 11 11 10 9 8 7 7 6 6 6 6 5 4 4 4 6 8 10 11 11 11 10 9 8 9 9 nan
nan 8 8 8 8 8 8 9 10 10 9 9 8 7 7 7 7 7 6 6 7 7 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 9 9 10 10 10 10 9 8 8 9 9 8 8 7 8 8 9 9 8 8 8 9 9 9 9 8 8 8 7 6 6 6 5 5 4 4 4 6 8 9 10 10 10 9 9 9 9 9 8 8 8 8 9 8 7 6 7 8 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 8 7 7 6 7 8 9 10 11 10 9 9 9 9 9 10 10 9 9 9 9 9 10 10 8 8 8 8 9 9 9 9 10 11 11 11 10 9 9 8 8 7 7 6 6 6 7 8 10 12 12 12 12 11 10 9 8 7 7 8 8 7 5 4 5 7 9 10 11 11 11 10 9 9 10 nan
nan 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 7 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 7 7 8 8 8 7 7 7 8 9 10 10 10 9 8 7 6 6 6 6 6 6 5 4 6 9 12 14 13 11 9 8 8 9 8 8 8 8 8 9 8 7 6 6 7 8 9 9 9 9 7 7 7 9 9 9 9 9 9 9 8 7 7 6 7 7 8 8 8 8 7 7 7 7 8 9 9 9 8 8 9 10 10 10 9 8 8 9 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 7 7 6 6 6 8 11 13 14 14 14 13 12 10 9 9 9 9 8 7 6 5 6 8 9 10 11 11 10 9 9 10 nan
nan 8 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 8 8 8 8 8 7 7 7 8 8 9 10 11 11 11 9 8 7 7 7 8 8 8 7 6 8 12 15 17 15 11 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 8 6 6 6 6 6 6 7 7 7 6 6 7 7 8 8 8 7 7 8 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 7 9 11 13 15 15 15 14 12 11 10 10 9 9 9 8 7 7 8 9 10 10 10 8 7 8 9 nan
nan 8 7 6 6 6 6 7 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 10 11 11 11 10 9 8 8 8 9 10 10 9 9 10 13 16 16 15 11 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 5 5 5 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 8 9 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 7 9 12 15 16 15 15 14 12 11 11 10 10 9 8 7 8 9 10 10 10 9 8 7 7 8 nan
nan 8 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 4 4 5 6 7 7 7 7 8 9 9 9 9 9 8 8 8 8 9 10 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 10 9 8 9 10 10 10 10 11 12 14 14 13 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 6 6 5 6 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 7 6 6 8 9 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 8 11 14 15 16 15 15 13 12 12 12 11 10 8 7 7 8 10 10 11 10 9 8 7 7 nan
nan 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 5 4 4 5 6 6 7 7 8 9 10 9 9 9 9 9 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 7 8 9 10 11 10 9 8 9 10 10 10 10 11 12 12 11 10 9 9 9 8 8 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 7 6 5 5 6 6 5 5 4 4 4 5 6 6 7 7 7 8 8 8 8 8 8 7 8 8 9 9 8 8 8 8 8 8 9 10 10 8 7 6 7 8 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 12 13 14 15 14 13 12 12 12 12 11 9 7 6 7 9 10 11 11 10 9 8 8 nan
nan 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 6 7 8 7 6 5 5 5 6 6 7 8 9 10 10 9 9 9 9 9 8 9 10 10 11 10 10 10 10 9 8 7 7 8 8 9 10 11 12 11 9 8 9 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 10 9 8 8 8 7 7 7 7 6 5 5 5 5 6 6 6 6 5 5 6 7 8 8 9 9 10 10 10 10 10 9 8 8 8 9 10 9 9 8 9 9 9 10 11 11 10 9 8 7 7 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 13 13 12 11 11 12 11 11 9 7 6 6 7 9 11 11 11 10 9 9 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 6 7 7 6 6 5 5 5 6 7 8 9 10 10 9 9 9 10 9 9 9 10 11 11 11 11 11 11 10 8 7 7 8 9 10 10 11 11 10 9 9 10 11 11 10 10 10 10 9 9 8 8 8 9 9 9 8 8 8 8 8 9 11 10 9 8 8 7 6 5 6 6 6 6 7 7 7 7 8 8 8 8 9 10 10 11 11 11 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 11 11 12 11 11 10 10 10 9 8 6 6 6 7 8 9 10 9 10 10 nan
nan 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 5 5 5 5 6 7 7 7 6 6 5 5 6 7 8 9 9 8 9 9 10 10 9 9 9 10 11 11 11 10 10 10 9 8 8 9 9 9 9 9 10 10 9 10 11 11 11 10 10 11 10 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 9 9 9 8 6 5 5 6 7 7 8 9 9 9 9 9 10 10 11 12 13 13 13 13 13 13 13 13 13 12 12 11 10 9 9 10 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 8 9 9 9 8 8 7 7 7 8 9 9 11 11 12 11 11 11 11 10 9 8 7 6 6 7 7 8 9 9 nan
nan 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 5 5 7 7 8 8 7 6 5 4 5 6 7 8 8 7 8 8 9 10 9 8 8 9 10 11 10 10 9 9 9 9 10 9 8 8 8 9 10 10 10 10 11 10 9 9 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 8 9 9 8 8 7 6 4 5 6 7 8 8 9 10 10 10 11 11 12 12 13 14 14 15 15 15 15 15 14 14 14 14 13 12 10 9 9 11 11 10 10 9 10 9 9 9 9 9 8 8 9 10 10 10 8 7 7 7 7 7 8 9 9 9 8 8 8 9 9 8 8 7 7 7 7 7 8 9 10 11 11 12 12 13 13 12 11 9 8 8 7 6 6 7 7 nan
nan 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 6 5 5 5 6 7 8 8 8 8 7 6 5 5 6 7 8 8 7 7 8 9 9 9 8 7 8 10 11 11 10 9 9 9 9 10 10 8 7 7 8 9 10 10 10 10 10 9 8 8 9 10 10 11 11 10 9 9 9 9 8 8 8 8 8 9 9 8 7 5 4 5 6 8 9 9 10 10 10 11 11 12 13 13 14 15 15 15 16 16 17 17 16 16 16 15 15 14 13 11 9 9 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 9 10 11 12 13 13 13 11 10 10 8 7 7 7 7 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 5 6 7 8 8 8 8 7 7 6 6 6 7 8 8 8 7 8 8 9 9 8 8 8 9 10 10 10 10 10 9 10 10 10 9 8 7 8 9 9 9 9 9 9 8 8 8 9 10 10 11 11 10 10 10 10 10 9 9 9 9 8 8 7 7 6 5 6 7 8 9 10 10 10 10 10 11 11 12 13 14 15 16 16 16 17 17 17 18 18 17 17 17 17 16 14 11 10 10 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 7 7 7 7 8 8 9 10 12 12 12 11 11 9 9 8 8 8 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 7 6 7 7 8 9 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 11 10 11 10 10 9 9 8 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 8 6 5 5 6 7 8 8 8 9 10 10 10 10 10 11 11 12 13 14 15 15 16 17 17 18 18 19 19 18 17 17 17 16 14 12 11 11 12 12 12 11 10 9 10 10 10 9 9 9 8 8 8 9 9 10 11 10 10 9 8 8 7 8 8 9 9 10 10 10 10 10 9 8 7 8 8 8 8 7 7 7 7 6 6 8 9 10 10 11 11 10 10 10 9 9 nan
nan 9 9 9 8 8 8 8 8 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 9 10 10 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 9 9 8 8 8 10 11 12 12 11 11 11 10 9 9 8 8 9 10 11 11 10 7 4 4 5 7 8 8 8 8 9 9 10 10 10 10 11 11 12 13 14 14 15 16 16 17 18 19 19 20 19 18 17 16 15 14 12 12 13 13 13 12 11 11 11 11 11 11 10 9 9 9 8 8 8 9 10 11 11 11 10 9 8 8 8 8 9 9 9 9 10 10 11 10 8 8 8 8 9 9 8 7 7 7 6 6 6 7 7 8 8 9 9 10 10 10 10 nan
nan 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 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 8 8 8 8 9 9 8 8 8 8 8 9 10 9 9 9 9 10 11 11 10 10 11 11 10 9 9 9 9 11 12 12 11 11 10 10 11 10 9 8 8 8 9 10 10 9 6 4 3 4 6 7 7 7 7 8 9 9 9 10 10 11 12 12 13 14 14 14 15 16 17 18 19 20 21 21 20 18 17 15 13 12 13 14 14 13 12 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 10 9 9 9 10 11 11 9 9 9 9 9 9 9 8 7 7 7 6 5 5 5 5 5 6 7 8 8 9 10 nan
nan 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 6 6 5 6 6 6 6 7 8 8 8 7 7 8 8 8 8 8 8 9 10 10 10 10 9 8 9 10 10 10 10 11 11 10 9 9 10 10 11 12 12 11 10 9 9 9 9 9 8 7 7 7 9 9 9 8 5 4 4 4 6 6 6 7 8 8 8 9 10 11 11 12 13 13 13 14 14 14 15 16 17 19 20 22 22 22 21 19 16 13 12 13 15 15 13 11 11 12 13 12 11 9 8 8 9 9 9 9 9 9 9 8 8 9 10 11 12 12 11 11 11 10 9 9 9 10 11 11 10 10 10 10 10 9 9 9 8 8 7 6 5 5 4 4 4 5 5 5 6 7 8 nan
nan 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 5 5 5 6 6 6 8 8 8 7 6 7 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 10 10 10 9 9 9 11 11 11 11 10 9 9 8 7 7 7 7 7 7 7 9 10 11 10 8 6 5 4 5 5 6 7 7 7 8 8 10 11 11 12 12 13 13 13 14 14 15 15 16 18 20 22 23 23 23 20 17 14 13 14 15 14 13 11 11 12 13 12 11 9 8 7 8 8 8 8 8 9 9 8 8 8 9 11 12 12 12 12 12 11 10 9 9 10 10 10 10 10 10 11 10 10 9 9 9 8 8 7 6 6 6 5 6 6 6 5 4 5 6 nan
nan 11 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 7 8 8 7 6 6 6 8 9 10 10 9 9 8 9 9 10 10 9 8 7 7 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 8 7 7 6 7 7 7 7 9 11 12 12 11 9 7 6 6 6 7 7 7 7 7 8 9 10 11 11 12 13 13 13 14 14 15 15 16 18 20 22 23 24 24 21 18 14 14 15 14 14 12 12 11 11 11 11 11 10 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 11 11 11 11 10 10 10 10 10 9 9 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 6 5 5 nan
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nan 10 10 11 11 11 10 10 9 9 9 9 10 12 13 13 13 12 11 10 9 8 8 9 10 11 12 12 12 11 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 10 10 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 11 11 10 10 9 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 8 8 7 4 0 -2 -2 -0 3 5 6 7 8 11 17 22 21 18 15 14 13 12 11 10 10 9 9 8 8 7 7 6 6 6 6 6 5 5 5 6 8 10 11 12 11 9 8 7 6 6 7 9 11 11 11 11 11 10 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 nan
nan 10 10 10 10 10 9 9 9 9 9 10 11 12 12 13 12 11 10 9 8 7 8 9 10 11 12 12 11 11 10 9 8 7 7 7 7 8 8 9 9 8 8 8 8 8 9 9 9 10 10 9 9 10 10 11 11 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 11 10 10 10 10 10 9 8 9 9 9 9 8 8 7 7 7 6 3 -0 -2 -1 1 3 5 6 7 9 15 20 21 20 15 12 11 11 11 11 11 10 10 9 9 8 7 7 6 6 5 5 4 3 3 3 4 6 10 13 14 13 11 10 8 7 8 10 12 12 12 12 13 12 11 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 nan
nan 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 8 7 7 8 9 10 11 12 12 11 10 9 9 8 7 7 7 8 8 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 13 13 13 13 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 6 2 -0 -1 0 2 4 5 6 8 12 18 21 21 16 11 10 11 11 11 11 11 11 10 10 9 8 8 9 8 7 6 5 4 3 2 2 3 7 11 14 14 14 13 11 11 11 12 12 12 13 14 16 15 13 11 9 8 8 8 8 8 8 9 9 8 8 8 7 8 nan
nan 10 10 9 9 9 9 9 10 11 11 12 12 11 10 10 9 9 8 7 7 8 9 10 11 12 12 11 10 10 9 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 11 11 11 12 13 13 13 13 13 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 10 10 11 11 12 12 12 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 4 2 0 0 2 3 4 5 6 10 15 19 21 18 13 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 7 6 6 5 3 2 2 4 7 9 11 13 13 12 12 12 12 12 13 14 15 16 16 14 12 9 7 7 7 7 7 8 8 8 8 7 6 6 6 nan
nan 10 10 10 10 10 11 11 11 11 12 12 12 11 10 9 8 8 8 7 7 8 10 11 11 12 12 11 10 9 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 11 12 13 13 14 14 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 8 9 9 10 10 11 11 12 12 12 11 10 10 10 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 6 4 2 1 1 3 4 4 6 8 12 17 20 18 14 12 11 11 11 11 10 10 11 11 11 10 10 10 10 9 9 9 8 8 6 5 3 2 3 4 7 10 12 12 12 11 12 12 13 14 15 15 15 14 12 10 8 8 8 8 8 8 8 7 7 5 5 5 6 nan
nan 9 10 10 11 11 12 12 12 12 12 11 11 10 9 9 9 8 8 8 8 9 11 12 12 12 11 11 10 9 8 7 7 7 8 8 9 9 9 8 8 8 8 9 10 10 11 11 11 11 12 12 12 13 13 14 14 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 8 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 6 4 2 2 2 3 4 5 7 10 14 17 17 15 13 11 11 10 9 9 10 11 11 11 10 10 9 10 10 10 10 11 10 10 8 6 3 2 2 5 9 11 11 11 11 11 11 11 12 13 14 14 14 13 12 11 10 10 10 8 8 7 7 6 5 5 5 7 nan
nan 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 10 9 8 7 7 7 8 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 12 12 13 13 13 13 13 13 12 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 9 9 9 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 10 10 9 9 9 10 10 9 9 8 6 4 3 3 3 4 5 6 8 11 15 16 15 13 12 11 10 9 9 10 11 11 11 10 10 9 9 9 10 12 12 12 11 10 8 5 2 0 3 7 9 10 11 10 9 9 9 10 11 12 13 14 15 14 13 11 11 10 8 8 8 8 8 7 7 8 10 nan
nan 10 9 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 12 12 12 11 10 9 8 7 7 7 8 8 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 8 8 8 9 10 10 10 10 11 11 11 12 12 12 12 11 10 10 9 9 8 8 8 8 9 10 10 9 8 6 4 3 3 3 4 5 7 9 13 15 15 13 11 10 9 8 8 10 11 11 11 10 10 9 8 8 10 12 14 13 12 11 9 6 2 -1 0 4 7 9 10 9 8 8 8 9 10 11 12 13 14 14 13 11 10 10 10 10 10 9 9 9 9 10 11 nan
nan 11 11 10 10 10 10 10 9 9 9 10 10 9 9 10 10 10 10 11 12 12 13 13 12 12 11 10 9 8 7 7 7 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 12 12 12 11 10 10 10 9 8 8 8 8 9 9 9 9 8 6 5 3 3 4 4 5 7 10 14 14 14 12 10 8 7 7 9 10 11 11 10 10 9 8 7 8 12 14 14 13 11 10 8 4 0 0 3 6 9 9 9 9 8 8 8 9 10 11 12 12 12 12 11 10 10 11 11 10 9 8 8 9 10 12 nan
nan 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 12 11 10 9 8 7 7 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 10 10 10 9 10 10 11 12 11 11 10 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 9 9 8 8 8 9 9 8 6 5 4 4 4 4 6 9 12 14 15 13 10 7 5 6 8 11 12 12 10 10 9 8 7 8 11 13 14 13 11 10 8 5 2 2 3 6 8 9 9 9 8 7 7 8 10 11 11 11 11 11 10 10 10 10 9 8 8 7 8 9 11 12 nan
nan 13 12 12 11 11 10 9 9 9 9 9 9 8 8 8 8 9 9 10 12 12 13 13 12 12 11 10 8 8 8 8 8 8 8 8 7 7 8 9 10 11 11 11 10 10 10 11 11 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 11 11 11 11 10 9 9 8 9 10 11 11 11 11 10 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 14 14 15 14 13 12 11 10 10 9 9 9 9 9 8 7 6 5 4 4 4 5 7 10 12 14 13 10 7 6 7 10 12 12 11 10 9 9 8 8 9 11 13 13 12 10 9 8 6 4 5 6 7 8 8 8 8 7 6 6 7 9 10 11 11 11 10 9 8 8 7 7 6 6 7 7 9 11 12 nan
nan 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 9 10 11 12 12 13 13 12 12 11 10 8 8 8 7 8 8 8 7 7 8 9 10 11 11 11 11 10 10 11 11 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 10 11 12 12 11 10 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 11 11 10 10 10 10 10 10 11 12 13 14 14 15 15 14 13 11 10 11 11 11 10 10 9 8 8 7 6 5 4 4 4 5 7 9 12 12 9 8 8 10 13 13 11 9 8 8 8 8 8 10 11 12 12 11 10 9 8 6 6 7 8 8 8 8 8 8 7 6 6 6 7 9 10 10 10 8 7 6 6 6 6 6 6 6 7 10 12 13 nan
nan 8 8 9 9 11 11 11 10 9 9 8 8 8 9 9 9 10 11 11 12 12 12 12 12 11 10 9 8 8 7 7 8 8 7 7 8 8 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 9 9 9 9 9 10 9 9 8 8 8 8 9 10 10 11 12 11 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 10 9 9 9 10 11 12 12 13 13 14 14 13 12 11 10 11 11 11 11 9 9 9 9 8 6 5 4 4 5 5 7 8 8 8 9 10 13 15 13 10 8 7 7 7 8 9 10 11 11 12 11 10 9 8 7 6 6 7 7 8 8 8 8 7 6 6 5 6 7 7 7 7 6 5 5 5 7 8 8 8 8 9 10 12 14 nan
nan 8 8 8 9 10 10 10 10 9 9 8 8 8 8 9 9 10 11 12 12 12 12 12 12 11 10 9 8 8 8 7 7 7 7 7 8 9 10 11 11 11 11 10 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 8 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 8 9 9 10 11 11 12 12 12 11 10 9 9 10 11 12 12 12 12 13 14 14 13 12 11 11 12 13 12 10 9 9 9 8 7 5 5 4 5 5 5 6 6 7 9 12 14 14 12 9 7 7 7 7 8 9 10 11 11 11 10 9 7 5 4 3 4 5 7 8 8 8 8 8 7 7 6 5 4 4 4 3 3 3 4 6 8 8 9 9 9 10 12 13 13 nan
nan 8 8 9 9 9 10 10 10 9 9 9 8 8 8 9 9 10 11 12 12 12 12 12 12 11 10 9 8 8 8 8 7 7 7 8 9 10 11 11 11 11 10 10 11 11 12 12 12 12 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 9 8 8 9 9 9 10 11 11 12 12 11 10 10 10 11 12 12 11 11 11 12 13 13 13 13 12 12 12 13 13 11 10 9 9 8 7 6 5 5 5 5 5 5 6 7 9 12 13 12 11 9 8 8 8 8 9 9 10 11 11 10 8 6 4 3 2 3 4 6 9 9 9 9 9 9 9 9 8 7 5 3 2 2 2 3 4 6 7 8 8 9 10 12 12 13 12 nan
nan 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 9 10 10 11 12 12 12 12 12 12 12 11 10 9 8 8 7 7 7 8 10 11 12 12 11 11 10 10 11 12 12 12 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 10 10 10 10 9 10 11 12 11 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 13 12 12 12 12 12 12 12 11 10 9 8 6 5 5 5 6 6 7 7 7 9 11 12 12 11 10 9 9 9 9 10 10 10 10 9 8 6 6 6 6 7 8 10 11 12 12 11 11 11 11 11 12 12 11 9 7 5 4 4 4 5 6 6 7 8 9 11 13 13 12 10 nan
nan 9 8 9 10 11 11 11 11 11 10 10 9 9 8 8 8 9 10 11 11 12 12 12 12 13 13 13 12 10 9 8 8 7 8 9 11 12 13 12 12 11 11 11 11 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 9 9 8 8 8 9 9 9 10 9 9 10 11 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 12 12 12 12 11 11 11 12 14 15 14 13 11 9 7 7 7 7 8 8 8 8 10 11 12 13 13 12 11 11 10 10 10 10 9 7 6 5 6 8 10 12 13 14 15 15 14 14 14 14 14 14 14 15 15 15 13 12 10 8 7 5 5 5 6 7 9 11 13 13 12 11 10 nan
nan 9 9 9 10 11 12 12 12 12 11 11 10 9 9 8 8 8 9 10 11 12 12 12 13 13 14 14 13 12 10 9 8 8 8 9 11 13 13 13 13 12 12 12 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 11 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 9 8 8 9 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 11 11 10 10 11 13 15 16 16 16 14 11 10 10 10 9 9 9 9 10 12 14 15 16 15 14 12 9 8 7 7 6 5 5 6 7 10 12 14 15 15 15 16 17 18 18 17 16 16 15 15 15 15 15 14 13 11 8 6 5 5 6 7 10 12 13 12 11 10 10 nan
nan 9 9 9 10 11 12 12 12 12 11 10 10 9 9 9 8 8 9 10 12 13 14 14 15 15 16 16 15 13 12 10 9 8 9 10 11 13 14 14 14 14 13 13 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 10 11 11 12 12 11 11 11 11 10 10 10 10 10 10 9 7 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 10 10 11 13 14 16 17 16 14 13 12 11 10 9 10 10 12 14 15 17 17 17 15 12 8 6 5 5 5 6 7 9 10 12 14 14 13 13 14 16 18 19 19 18 16 15 13 12 12 12 13 13 12 11 9 8 7 6 7 9 11 12 12 11 10 10 10 nan
nan 8 9 9 10 11 12 12 11 11 10 10 9 9 9 9 8 8 8 10 13 16 17 18 18 18 18 18 16 15 13 12 10 10 10 11 12 13 14 15 15 15 15 14 14 13 11 10 10 9 9 10 10 10 11 11 11 12 12 12 11 10 9 9 10 10 11 11 12 12 12 11 11 11 10 10 10 11 11 11 11 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 10 13 14 15 14 13 12 11 10 10 10 11 13 14 15 16 15 13 11 8 6 6 6 6 7 8 10 11 13 14 14 12 10 9 10 12 14 15 15 14 12 11 9 8 9 11 12 13 13 12 11 11 10 10 11 12 12 11 11 10 10 10 10 nan
nan 8 9 9 10 11 12 11 11 10 10 9 10 10 9 9 8 8 8 11 15 17 19 20 20 19 18 18 17 16 15 13 12 12 12 13 13 14 16 17 17 17 16 15 14 13 11 10 10 9 9 9 10 10 10 11 12 12 12 12 11 11 10 10 10 11 12 12 12 12 12 12 11 11 10 10 11 12 12 12 11 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 10 11 13 13 12 11 11 10 10 10 11 12 12 13 12 11 9 7 5 6 7 8 8 8 10 11 12 12 12 10 8 6 6 8 10 11 12 12 11 10 9 8 9 10 12 14 15 15 15 14 14 13 13 13 13 12 11 10 10 10 10 10 nan
nan 9 9 10 11 12 12 11 10 10 9 10 11 11 11 10 9 9 9 12 15 17 18 18 17 16 15 15 14 14 14 14 14 14 14 15 15 16 17 19 20 20 19 17 15 13 12 11 10 10 9 10 10 10 11 11 12 12 12 12 12 11 11 11 11 12 13 13 13 13 13 13 12 11 11 11 11 12 12 11 11 11 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 12 12 12 11 10 9 9 9 9 10 10 9 9 8 7 6 6 7 8 9 9 10 10 11 10 9 9 8 8 8 10 13 14 16 16 16 16 14 12 12 12 12 13 14 15 15 15 14 14 13 13 12 11 11 10 10 10 10 10 11 nan
nan 10 10 11 12 12 11 11 10 10 10 11 12 13 13 12 11 10 11 13 15 15 16 15 14 12 12 11 11 11 12 12 13 13 13 14 14 16 18 20 21 21 20 19 17 15 13 12 12 11 10 10 11 11 12 12 12 12 12 12 12 12 11 11 12 13 13 13 13 13 14 14 13 12 11 10 10 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 10 11 13 14 16 18 19 20 20 20 19 17 15 13 12 11 12 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 nan
nan 11 11 12 12 12 11 11 11 11 12 13 14 14 13 12 11 11 12 13 14 15 14 14 12 11 10 10 9 9 9 9 9 9 10 11 12 13 15 17 19 20 19 18 16 15 15 14 14 13 12 12 12 12 12 12 12 13 13 14 13 13 12 11 12 12 12 11 11 13 14 15 14 13 12 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 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 11 11 11 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 12 13 14 14 15 16 17 18 17 17 16 16 15 13 11 10 10 10 11 12 12 11 11 10 10 9 9 9 10 10 10 11 11 11 12 nan
nan 11 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 12 13 13 13 12 11 10 9 9 8 8 8 8 8 8 8 9 9 10 11 13 14 15 15 15 14 13 13 14 14 15 15 14 14 13 13 13 13 12 13 14 14 14 13 12 11 11 11 10 9 10 12 13 14 14 13 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 13 13 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 10 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 10 10 9 10 11 11 12 11 11 11 11 10 10 10 10 10 11 11 11 11 12 nan
nan 12 12 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 10 11 12 12 13 13 13 12 11 11 10 11 11 12 14 14 14 14 14 14 14 13 13 13 13 14 13 13 12 12 12 11 10 9 10 12 13 13 13 13 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 10 9 9 9 9 8 8 8 9 9 10 10 11 12 12 12 12 11 11 10 10 10 9 9 10 10 10 11 12 13 13 13 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 11 12 12 12 13 13 13 12 12 12 11 11 11 10 10 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 11 11 11 11 11 12 nan
nan 12 13 13 13 14 14 14 13 13 13 13 13 13 13 11 11 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 12 13 13 13 13 12 11 11 10 10 10 10 11 11 12 13 13 13 14 14 14 14 14 14 14 13 13 13 14 14 13 13 12 12 13 14 14 13 13 13 13 13 13 14 14 13 11 10 9 9 10 10 11 11 11 11 10 9 9 8 7 6 6 7 8 9 11 11 12 12 12 11 11 10 10 9 9 9 9 9 10 11 12 14 14 13 12 11 11 12 11 10 9 8 8 8 8 9 11 11 11 11 10 10 11 11 10 9 9 10 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 nan
nan 13 13 13 13 14 14 14 15 15 16 16 15 14 12 10 9 8 8 8 8 8 9 9 8 8 8 8 8 9 9 10 10 11 12 12 13 13 13 13 12 11 11 11 11 10 10 10 10 10 11 12 13 13 14 15 15 15 15 15 14 13 13 13 14 15 15 14 14 15 14 14 13 13 13 13 14 14 15 16 15 13 11 9 8 8 8 9 10 12 13 13 12 10 7 5 4 3 3 5 7 8 9 10 10 11 11 10 10 10 9 8 8 8 9 10 11 13 14 15 15 14 12 12 13 12 11 10 9 8 8 8 9 12 13 12 11 10 11 11 11 9 8 8 9 10 11 11 11 11 12 11 11 10 10 9 9 9 9 10 10 9 10 10 10 10 11 11 11 11 11 10 11 11 11 12 12 13 13 12 12 11 11 11 11 11 nan
nan 13 13 13 13 14 15 16 17 17 17 16 15 13 10 9 8 7 8 8 9 9 9 9 8 8 7 7 8 8 9 9 10 11 11 12 12 13 13 12 12 11 11 11 11 11 11 10 10 10 11 12 13 13 14 14 14 14 14 13 13 13 12 12 13 15 15 15 15 15 14 14 13 13 13 13 13 14 16 17 17 16 15 13 10 7 6 6 8 10 13 15 15 12 9 6 3 1 1 2 4 5 6 7 7 7 8 9 10 10 11 10 9 9 9 10 12 14 15 16 15 14 13 13 12 12 12 12 11 10 9 9 10 11 12 12 11 10 10 10 9 7 6 5 7 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 11 12 12 13 13 12 11 11 11 10 10 10 10 nan
nan 13 13 13 13 14 15 16 16 16 16 14 12 10 9 8 7 8 8 9 9 9 8 8 8 7 7 8 8 8 9 9 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 13 13 13 13 13 15 16 17 18 19 18 15 11 8 6 5 7 11 14 15 14 12 9 6 4 2 2 2 3 4 4 4 4 4 5 7 10 12 12 12 11 10 11 13 14 16 15 14 12 11 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 7 6 5 5 6 8 8 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 10 11 12 12 12 12 11 11 10 10 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 2 4 6 8 10 18 33 52 67 72 64 81 116 123 137 170 203 216 300 209 128 87 71 63 58 51 32 18 7 1 0 0 0 0 0 0 0 1 4 19 82 155 217 258 278 271 231 176 137 105 76 62 60 59 62 60 97 131 154 202 317 501 644 884 983 967 882 782 721 751 833 895 936 952 952 937 880 797 728 660 603 580 607 662 733 804 845 846 848 891 946 938 775 712 795 916 1014 1111 1231 1442 1619 1777 1846 1790 1681 1552 1422 1296 1185 1123 1099 1083 1080
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