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 10 11 11 10 9 8 7 6 6 6 8 9 9 10 10 9 7 7 7 8 8 8 7 6 6 6 7 7 7 7 7 7 6 5 5 5 6 7 8 9 10 11 11 10 9 8 8 9 8 8 9 9 9 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 7 7 7 8 8 9 9 10 9 7 7 7 8 9 9 8 7 8 9 9 8 7 6 6 6 6 7 8 9 10 9 7 7 7 9 11 12 12 12 12 12 13 12 11 10 9 9 9 9 10 10 9 9 8 8 7 6 4 3 3 4 5 6 8 11 13 13 12 11 11 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 nan
nan 10 10 10 10 9 8 7 5 4 5 6 8 10 11 11 10 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 6 5 5 6 7 7 8 9 10 11 11 10 9 9 8 8 8 9 9 9 9 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 8 8 8 7 6 6 5 4 5 6 7 7 7 7 7 7 7 9 9 8 7 7 8 8 9 8 7 7 8 9 9 8 7 7 7 7 7 8 9 10 10 9 7 6 6 8 11 13 14 13 12 12 12 12 11 10 10 9 9 9 9 8 7 7 7 7 8 8 7 5 5 4 4 5 6 10 12 12 12 12 11 11 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 nan
nan 9 9 9 9 8 8 6 5 3 4 7 9 10 11 11 9 8 8 8 8 7 7 6 6 6 7 6 6 6 7 7 8 8 6 5 6 7 8 8 9 11 12 11 10 9 9 9 8 8 8 9 9 9 9 8 7 6 6 6 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 7 6 5 4 4 4 5 7 8 8 7 7 7 8 9 9 8 7 8 9 9 9 8 7 7 8 8 8 8 7 7 8 8 8 9 10 10 9 9 7 6 6 7 11 13 13 12 10 10 11 11 10 10 9 9 9 9 9 7 6 6 6 8 9 10 10 9 8 7 5 4 3 5 8 10 11 12 12 10 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 8 7 6 6 7 8 nan
nan 9 9 9 8 7 6 5 4 4 6 8 10 10 10 10 9 9 9 9 8 7 7 6 7 7 7 6 6 6 7 8 9 9 6 5 6 7 8 8 9 12 12 11 9 9 9 10 8 7 8 8 9 9 10 9 7 6 6 7 7 8 8 9 9 10 10 9 9 9 9 9 10 9 8 7 6 6 7 7 8 8 8 8 7 5 4 3 4 5 6 8 9 9 8 8 8 9 9 8 7 8 9 10 10 9 8 8 8 7 7 7 7 7 8 9 9 10 10 10 9 9 8 8 6 6 6 9 11 12 11 10 9 9 10 10 10 9 9 9 9 9 8 6 5 6 8 10 11 11 10 10 9 7 5 3 3 4 7 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 9 8 6 6 7 7 nan
nan 9 9 8 7 6 5 6 5 6 8 9 10 10 9 9 10 10 11 10 8 7 7 6 7 7 7 6 6 6 7 8 10 9 6 5 6 7 8 9 10 11 12 11 10 9 10 9 8 7 7 8 9 10 10 9 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 10 10 9 7 5 5 6 6 7 8 8 8 7 6 4 3 4 5 6 7 9 9 9 9 9 9 8 7 6 7 9 10 10 10 9 9 9 8 6 6 7 8 9 9 10 11 11 11 10 9 8 8 8 7 5 5 7 10 10 10 10 10 9 9 9 9 9 10 10 11 10 9 7 6 6 8 9 10 10 9 10 10 10 9 7 5 5 5 6 7 8 8 9 10 11 11 10 9 9 9 9 10 10 10 9 9 9 9 10 10 9 7 7 7 7 nan
nan 8 8 8 7 5 5 6 6 7 8 8 9 9 10 10 11 11 11 10 8 6 6 6 7 7 7 7 7 7 7 8 9 8 6 6 6 7 8 9 10 11 11 11 11 11 10 9 7 7 8 9 10 10 9 8 7 7 7 8 9 9 10 10 10 10 10 10 9 9 8 9 9 8 6 6 6 6 7 8 8 9 8 8 6 4 4 5 7 7 8 9 9 10 10 10 9 7 6 6 8 10 11 11 10 10 9 8 6 5 5 8 10 10 11 11 11 10 10 8 8 8 8 8 7 5 5 6 9 10 11 11 10 9 9 8 8 9 10 11 11 11 10 8 7 7 7 8 8 7 7 9 10 12 12 11 10 7 6 5 5 6 7 8 9 10 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 7 7 nan
nan 8 8 8 7 6 5 5 6 6 7 7 8 10 11 11 11 11 10 9 7 5 5 5 6 6 7 8 8 8 8 8 7 7 7 7 7 7 8 10 11 11 12 12 13 12 9 7 6 7 9 11 11 11 10 8 8 7 7 8 10 11 11 11 11 11 10 10 9 9 9 9 8 7 6 7 7 8 8 8 9 9 9 8 5 4 4 6 8 8 9 9 9 9 9 9 8 6 6 8 9 10 11 11 11 10 8 6 5 5 6 9 11 12 12 11 10 9 8 8 8 8 8 8 7 5 5 6 8 11 12 11 10 9 8 8 8 8 9 9 10 10 10 9 8 7 7 7 7 6 6 7 9 11 12 12 11 10 8 7 6 7 7 7 8 8 9 9 9 9 9 9 10 10 10 11 11 12 11 10 10 10 9 8 8 8 nan
nan 8 8 8 8 6 5 4 5 5 6 7 8 10 11 11 10 10 9 8 6 4 4 4 5 7 8 9 9 8 8 7 7 7 7 7 7 8 9 11 12 12 12 13 12 11 7 5 6 9 11 12 12 11 10 9 8 8 8 9 10 11 12 12 12 11 11 10 10 10 9 9 8 7 7 8 9 9 9 9 9 10 9 6 4 4 6 8 8 8 8 9 9 9 9 8 8 7 8 9 10 10 10 10 10 8 6 5 5 6 8 10 12 13 13 12 10 9 8 8 8 8 8 8 7 6 6 7 9 10 11 10 9 9 9 9 8 8 7 8 8 9 10 10 9 7 6 6 6 6 6 6 6 7 9 9 10 10 10 9 8 8 8 8 7 7 7 7 8 8 8 9 10 11 12 12 12 12 12 11 10 10 10 9 9 8 nan
nan 8 8 8 7 6 5 4 4 5 6 8 9 10 10 10 9 9 8 6 4 3 3 5 7 8 8 9 9 9 8 8 7 7 7 7 8 9 10 11 12 12 12 12 11 8 5 4 7 11 12 12 12 10 9 8 9 9 9 9 11 12 12 12 11 11 10 10 9 9 8 8 7 7 7 8 9 9 9 9 9 8 7 4 3 5 7 9 9 8 8 8 9 8 8 8 8 9 9 10 10 10 10 10 9 7 6 7 8 8 10 12 13 14 14 12 10 9 9 9 8 7 7 8 8 7 7 8 9 10 11 11 11 10 10 9 8 7 7 8 9 10 11 12 11 8 7 6 7 7 8 8 7 6 6 6 8 9 10 10 10 10 9 9 7 5 5 6 7 7 8 8 9 11 12 12 12 11 11 11 11 11 10 9 9 9 nan
nan 8 8 8 7 6 5 5 5 5 7 8 9 9 9 9 9 9 7 5 3 3 5 7 9 9 8 8 8 8 8 8 7 6 6 8 9 9 10 10 11 11 11 11 9 7 5 4 7 10 12 13 11 9 6 5 7 8 9 10 10 11 11 11 10 9 9 8 8 8 7 7 7 7 8 8 9 9 9 8 8 6 4 3 4 6 8 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 9 9 9 11 13 15 15 14 12 10 9 9 9 8 7 7 7 7 6 7 7 9 10 11 12 12 12 11 9 8 8 8 9 9 10 11 12 12 10 8 7 7 9 10 11 10 9 8 7 9 10 11 11 11 11 10 9 8 6 6 6 7 7 8 8 9 10 10 10 10 10 10 11 11 11 10 9 9 9 nan
nan 9 9 8 8 7 6 6 6 6 7 8 8 8 8 9 9 8 6 4 2 4 8 10 10 9 8 8 7 7 8 8 8 7 6 7 9 9 9 9 9 10 11 11 10 8 5 4 6 10 13 12 10 8 5 4 5 8 10 11 11 11 10 9 9 8 8 8 8 8 8 7 6 6 8 9 9 9 9 8 7 6 6 7 8 8 8 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 11 14 14 14 13 12 10 10 9 8 7 6 7 6 6 6 6 6 8 10 11 12 12 12 11 10 10 10 10 9 9 8 8 10 11 10 9 8 8 9 10 11 12 12 12 12 12 13 14 13 12 11 10 9 9 9 8 7 8 8 9 9 9 9 9 9 8 9 10 12 12 11 9 9 10 10 nan
nan 10 10 9 8 7 6 6 7 7 7 7 7 8 8 9 9 8 5 3 3 6 9 11 11 10 9 8 7 7 8 9 9 8 6 7 8 8 8 8 9 10 11 12 11 8 6 4 7 11 14 13 10 8 6 3 4 7 10 12 12 11 9 8 8 8 8 8 8 8 7 6 5 7 9 11 11 10 9 8 7 7 8 9 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 10 10 9 9 11 12 13 13 12 11 10 9 8 6 6 6 7 7 7 7 8 8 9 10 10 9 9 10 12 12 12 11 11 10 9 8 7 7 8 9 8 8 8 8 9 9 10 12 14 14 15 15 15 13 11 10 8 8 9 10 9 9 8 8 9 9 9 9 9 8 7 8 10 11 12 11 10 10 11 11 nan
nan 11 10 8 7 6 6 6 7 7 7 6 6 7 8 9 9 7 5 4 5 7 9 10 10 10 10 9 8 8 8 10 10 8 7 7 7 7 7 8 10 11 11 11 10 8 5 5 7 12 14 13 11 8 6 4 3 6 9 12 13 10 8 8 9 9 9 8 7 6 5 5 7 9 12 13 11 10 8 7 6 7 8 9 8 8 8 9 9 8 9 9 8 8 8 9 9 9 9 9 10 10 10 10 9 9 10 10 10 9 10 11 11 11 11 10 10 8 7 6 6 8 10 9 8 9 10 10 10 9 8 6 7 9 11 12 12 11 11 10 10 8 7 6 7 8 8 8 8 8 7 7 8 9 11 13 14 15 15 13 11 8 7 7 8 9 9 8 8 7 7 8 9 10 9 8 7 8 9 11 11 11 11 11 12 12 nan
nan 10 10 8 7 5 5 6 7 7 7 6 6 6 7 8 8 7 6 6 7 8 8 8 9 10 11 11 9 8 9 9 9 8 7 7 7 7 7 8 11 12 10 9 8 7 6 5 8 12 15 14 11 8 7 5 4 6 9 12 14 12 10 10 10 10 9 6 5 4 6 8 10 12 13 11 10 9 7 5 4 6 8 10 10 10 9 8 7 8 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 10 10 9 9 10 10 11 12 11 10 9 8 7 8 10 10 9 8 9 9 8 7 5 5 5 7 9 11 11 11 11 10 10 10 9 8 7 7 7 7 8 7 7 7 6 6 7 9 10 12 14 15 14 12 10 8 8 8 9 9 9 8 6 6 7 8 9 10 9 8 8 9 10 11 11 10 11 11 11 nan
nan 10 10 9 7 5 4 5 6 7 7 6 6 5 6 7 8 8 8 9 9 8 7 8 9 10 11 11 10 9 8 8 8 7 7 8 8 8 7 8 10 11 10 8 8 7 7 7 9 12 14 14 11 9 7 5 4 7 11 14 14 14 12 12 11 10 8 5 5 6 9 12 13 13 11 9 9 8 6 3 3 7 11 12 11 10 8 6 6 8 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 11 12 13 13 11 9 8 8 8 9 8 6 6 7 7 6 6 5 6 8 10 12 12 12 12 11 10 9 9 9 9 8 7 8 8 8 7 7 6 6 6 7 7 8 9 11 13 15 14 12 10 9 10 11 10 10 9 7 6 6 6 7 8 9 8 8 9 10 11 10 10 9 10 10 nan
nan 10 10 9 6 5 5 5 6 7 7 6 6 5 5 6 8 10 11 10 9 8 8 8 9 10 11 11 11 10 8 8 7 7 7 9 9 9 8 8 9 10 9 9 9 9 8 8 10 12 13 12 11 9 7 4 5 9 13 14 13 13 12 11 10 8 7 7 8 10 11 12 12 11 9 9 9 7 5 3 5 9 12 12 10 9 7 6 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 11 13 14 12 10 8 7 7 8 7 6 5 5 6 6 6 8 9 11 12 12 12 11 12 13 12 11 9 9 9 9 9 8 9 9 9 8 7 6 6 6 7 7 8 8 9 11 12 12 11 10 10 11 12 12 12 10 9 7 5 5 6 7 8 8 8 9 9 10 10 9 9 9 9 nan
nan 9 10 8 6 5 5 6 6 7 6 6 6 6 5 6 8 11 12 11 10 9 8 8 9 10 10 11 11 10 9 8 8 8 8 9 9 9 8 8 8 9 9 10 10 9 9 9 10 10 10 10 9 9 7 6 8 13 14 13 11 11 11 10 8 7 7 8 10 10 10 10 9 9 9 9 8 6 5 6 8 10 10 10 9 9 8 7 8 9 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 13 13 11 9 7 7 7 7 7 6 7 7 6 6 8 10 11 11 10 9 8 8 10 12 12 12 10 9 9 9 9 9 9 10 10 10 8 7 6 7 8 8 8 8 8 9 9 9 9 9 10 12 13 14 13 12 10 8 6 5 6 6 7 7 7 8 8 9 9 9 9 9 9 nan
nan 8 9 7 6 5 5 5 6 6 6 6 6 7 6 6 8 10 11 11 10 10 9 9 9 9 9 10 10 9 9 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 9 8 8 8 9 9 9 12 14 14 11 9 8 9 9 8 8 8 9 9 9 9 8 8 8 8 8 7 6 5 6 8 10 11 10 10 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 9 9 9 9 10 11 13 12 10 7 6 6 6 7 8 8 8 8 8 8 8 9 9 8 7 6 7 8 9 11 12 12 12 11 10 10 9 9 10 11 12 11 9 8 7 7 8 8 8 8 8 8 8 8 8 9 10 11 13 14 14 13 11 10 8 7 7 7 6 6 6 6 8 8 8 8 8 9 9 nan
nan 8 8 7 6 5 5 5 5 5 5 6 8 8 8 7 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 9 10 11 11 9 8 8 8 9 10 11 13 13 12 9 6 5 7 8 8 8 8 8 9 9 9 8 7 7 8 9 8 6 5 5 8 12 13 12 12 12 13 13 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 11 12 11 8 5 5 5 6 8 9 9 9 9 8 8 8 8 8 7 7 8 8 9 10 10 11 12 12 12 11 10 9 9 10 10 11 11 10 8 7 6 7 7 6 6 7 8 8 7 8 9 9 10 12 13 14 14 13 12 11 9 9 8 6 5 5 6 7 8 8 8 8 8 9 nan
nan 8 7 7 6 6 6 6 6 5 5 7 9 9 8 7 7 8 10 11 11 12 11 11 9 8 8 8 10 10 9 9 9 9 8 8 9 9 9 9 8 7 7 8 8 9 10 11 10 9 8 8 9 9 9 10 11 11 10 8 6 5 6 8 9 9 9 9 9 9 8 7 6 7 9 9 9 6 5 5 9 13 13 12 11 11 11 11 10 10 10 10 9 9 9 9 8 7 7 7 7 7 8 9 9 10 11 10 9 9 9 10 11 12 10 6 5 5 6 8 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 10 10 10 10 9 7 6 5 6 5 5 6 6 7 7 8 8 9 9 9 10 12 12 12 12 12 11 9 8 6 5 6 7 8 8 8 7 7 8 8 nan
nan 9 8 7 6 6 6 6 5 4 6 8 9 9 7 6 7 9 10 10 11 11 12 10 9 7 8 9 10 10 9 8 8 8 8 7 8 9 10 9 7 6 7 7 8 9 10 10 10 9 9 9 9 9 8 9 10 10 9 8 7 7 8 9 10 11 11 10 9 9 8 6 6 7 9 9 7 5 5 7 10 12 12 11 10 10 9 9 9 9 9 9 9 9 9 8 7 7 6 7 7 7 8 9 10 10 11 10 9 9 9 10 12 12 9 6 6 7 8 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 7 6 5 5 5 5 5 5 6 6 7 8 8 8 8 8 8 9 9 10 11 11 10 8 6 6 7 8 8 8 7 6 6 7 7 nan
nan 9 9 7 6 6 7 6 4 4 7 9 9 8 6 7 9 11 10 9 10 10 11 10 9 8 8 9 10 10 9 9 9 8 7 6 7 9 10 9 7 6 6 7 7 9 9 9 9 9 9 10 9 8 7 8 9 10 9 9 9 9 9 9 10 10 11 9 8 8 6 5 5 7 8 6 4 4 7 9 11 12 11 10 10 9 9 9 9 9 9 9 9 9 8 7 6 6 6 6 7 7 8 9 10 10 10 9 9 9 9 11 12 10 8 7 8 9 9 9 9 9 9 9 8 9 8 9 9 10 11 11 11 11 10 10 9 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 6 6 5 5 5 5 5 6 7 8 8 7 7 7 7 7 7 7 8 9 10 10 9 7 7 8 9 8 8 7 5 5 6 6 nan
nan 9 9 7 6 7 7 6 4 4 7 10 9 8 7 8 11 11 9 8 9 10 10 10 10 9 9 9 9 9 9 10 9 8 6 6 8 10 10 9 8 7 6 6 7 8 9 9 8 8 9 9 9 8 8 9 10 10 9 9 9 10 10 9 9 9 9 9 8 7 6 6 6 7 7 5 4 6 9 12 13 12 10 9 9 9 9 9 9 9 9 9 9 9 8 7 5 5 5 6 7 8 9 10 9 9 9 9 8 9 10 10 10 8 7 8 9 9 8 8 9 9 9 9 9 9 9 9 10 11 13 14 14 13 12 10 9 7 7 7 8 8 8 9 9 8 8 9 9 9 9 8 7 6 6 5 5 5 5 6 8 9 9 8 7 7 7 7 6 6 7 9 10 10 9 9 9 9 9 9 8 8 7 7 7 7 nan
nan 7 7 7 6 6 6 6 5 6 8 10 9 8 8 9 11 10 9 8 8 9 9 10 10 10 10 9 9 8 9 9 9 8 7 7 8 9 9 8 7 6 6 6 8 9 9 8 7 8 8 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 7 8 8 8 7 7 7 9 12 14 14 12 9 8 8 9 9 9 9 9 9 9 9 9 8 7 5 4 4 5 7 9 10 9 8 8 8 9 9 10 10 10 9 8 8 9 8 7 7 7 9 9 10 10 10 10 10 9 10 11 13 15 14 13 11 10 10 9 9 10 10 11 11 10 9 8 8 8 9 9 9 8 7 7 7 6 6 5 5 5 7 9 9 9 9 9 8 8 7 7 7 8 10 10 10 10 10 9 9 9 9 9 9 9 8 7 nan
nan 5 6 6 6 6 6 7 7 8 9 10 9 8 8 8 10 10 9 8 8 8 8 9 10 10 10 10 9 8 8 8 8 8 7 8 9 9 8 7 6 6 6 7 9 10 9 8 7 7 7 8 9 10 10 10 10 10 9 9 9 10 12 11 9 8 8 9 9 9 9 10 10 9 9 10 11 13 14 15 14 11 8 8 8 8 9 9 9 9 9 9 9 8 7 6 4 3 3 5 7 8 9 9 8 8 9 10 10 11 11 10 9 9 9 8 7 7 7 8 9 10 10 11 11 11 10 10 9 10 11 10 9 9 9 10 11 11 12 12 13 14 14 12 10 9 8 8 8 8 8 8 8 7 8 8 7 6 5 6 7 8 9 10 10 9 9 9 9 8 8 8 9 11 11 10 9 9 10 10 9 9 8 8 7 7 nan
nan 5 4 5 5 6 7 8 9 9 9 10 9 8 8 8 9 9 9 8 8 8 8 9 9 9 10 10 9 8 8 8 8 8 8 8 9 9 8 7 7 7 7 9 10 10 9 7 6 6 7 8 10 10 10 10 10 10 9 9 9 11 13 11 8 7 7 9 11 11 12 11 10 9 10 13 14 14 13 12 10 8 7 7 8 9 9 9 8 8 8 8 8 7 7 5 3 2 3 5 7 9 11 10 9 9 9 11 12 12 11 10 9 9 8 8 8 8 9 10 10 11 11 12 12 12 11 10 10 9 8 6 5 7 10 12 13 13 13 13 13 14 14 13 12 10 9 8 8 8 9 9 8 8 9 9 9 7 7 7 7 8 9 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 10 10 9 8 7 6 7 7 nan
nan 5 4 5 5 6 7 8 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 9 9 9 10 10 10 9 8 9 8 8 8 9 9 9 9 8 8 8 9 10 10 9 8 7 6 6 7 9 10 10 10 10 10 10 9 8 9 11 12 10 7 6 7 10 12 14 14 11 9 8 11 14 14 13 11 9 8 7 6 7 8 9 9 8 8 7 7 7 7 6 7 6 4 2 3 5 8 11 12 11 9 8 8 9 10 10 9 8 7 7 8 8 9 9 10 10 10 10 11 11 11 11 11 11 10 9 7 6 7 9 12 14 15 14 13 12 11 11 12 14 14 13 11 10 9 9 10 10 9 9 9 10 9 8 8 7 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 9 10 11 10 8 7 6 7 7 nan
nan 5 4 5 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 10 11 11 9 8 6 5 6 7 9 10 11 11 10 10 10 9 8 9 10 10 9 8 9 9 11 13 14 13 9 6 7 11 13 13 10 9 8 7 6 6 8 9 10 9 7 7 7 7 6 6 6 7 6 4 2 1 4 8 10 10 8 7 7 7 7 7 7 7 6 5 6 7 9 10 10 10 10 10 10 11 10 10 10 11 11 10 9 8 8 10 12 14 15 14 13 12 12 11 11 13 14 15 14 12 11 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 9 9 10 9 8 7 7 7 nan
nan 4 4 5 6 7 9 9 9 9 8 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 10 9 8 8 8 9 9 10 11 11 11 10 10 10 11 10 9 8 7 6 6 8 9 10 11 11 11 10 10 9 8 9 9 9 10 12 13 12 11 12 12 11 8 5 7 11 12 10 8 8 7 6 6 6 8 10 9 8 7 7 7 7 6 6 7 7 5 3 1 2 5 8 9 8 7 7 7 7 7 8 8 7 6 6 7 8 9 10 10 11 11 11 10 10 9 10 10 11 11 10 9 8 9 12 14 14 13 12 12 13 14 14 14 14 13 13 13 12 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 7 7 8 9 9 8 8 8 7 7 8 10 10 10 9 9 9 nan
nan 5 5 5 6 7 9 10 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 8 10 9 8 8 9 10 10 11 12 12 11 11 10 10 10 10 9 9 7 6 7 8 9 10 11 11 11 10 9 9 8 8 8 10 12 15 15 12 9 9 10 10 9 8 10 12 10 8 6 6 6 5 5 6 8 10 9 8 8 7 8 8 7 7 7 6 4 2 1 4 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 10 10 10 11 11 10 10 10 10 11 12 12 13 12 10 10 11 12 12 11 9 8 10 12 14 15 15 13 11 10 11 10 10 9 8 8 9 9 9 9 9 8 9 9 9 10 10 9 9 9 8 8 7 7 7 8 8 9 9 8 8 7 6 7 8 10 11 11 11 10 10 nan
nan 5 5 5 6 7 9 10 9 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 8 9 9 9 9 10 11 11 12 12 12 12 11 10 10 10 10 10 9 8 7 8 8 9 9 11 12 11 10 9 9 9 8 8 10 14 15 14 10 7 8 10 11 11 11 12 10 7 5 4 5 5 5 6 8 9 9 8 8 8 8 8 8 8 8 7 5 3 2 3 6 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 9 10 11 12 14 14 13 12 11 10 9 7 6 5 6 9 11 12 12 12 11 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 8 7 7 7 8 8 9 9 9 9 8 7 6 6 8 9 10 11 11 11 11 nan
nan 5 5 6 6 8 10 10 10 10 9 9 8 7 7 7 8 8 8 8 7 7 7 6 6 6 6 7 8 10 10 10 10 10 11 12 12 12 12 12 11 11 10 10 10 10 9 8 8 8 9 9 9 11 11 10 10 10 9 9 8 8 10 13 14 12 9 7 8 11 12 12 11 10 8 5 4 4 5 7 9 10 10 10 8 8 9 9 9 8 8 8 7 6 3 2 2 5 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 12 12 12 12 11 9 7 5 4 3 5 7 9 10 10 10 11 12 12 10 9 8 9 8 8 7 8 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 10 10 10 9 8 6 5 6 7 8 8 9 10 10 10 nan
nan 5 5 6 7 8 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 7 7 6 5 5 6 8 9 10 10 9 10 10 11 12 12 11 11 11 11 11 11 11 10 10 9 9 8 9 9 9 9 11 11 10 10 10 10 9 7 7 9 11 12 11 10 9 10 12 12 10 9 7 6 5 4 6 8 10 12 13 12 10 9 10 12 10 8 8 8 9 7 4 2 2 4 6 7 7 7 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 9 7 6 4 4 4 6 8 9 10 11 12 14 15 15 13 11 10 9 9 8 8 7 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 8 9 9 10 11 11 10 9 7 6 7 7 8 7 6 7 8 9 9 nan
nan 4 5 6 7 9 10 11 11 10 9 8 8 7 7 7 8 9 9 9 8 8 7 6 4 4 6 8 9 9 9 9 9 10 11 11 11 11 10 10 11 11 12 11 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 8 7 7 8 10 10 10 10 10 10 10 9 7 5 5 5 6 7 9 11 13 13 13 13 12 11 12 11 9 7 8 9 9 7 3 3 4 6 7 7 7 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 12 12 12 11 9 7 7 7 7 7 7 8 9 10 11 13 15 17 18 17 16 15 13 12 11 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 7 7 8 8 8 8 7 6 7 7 8 nan
nan 4 5 6 8 9 10 11 11 10 9 8 7 7 7 8 8 9 9 9 9 8 7 6 4 5 7 9 9 9 9 8 9 9 10 10 10 10 10 10 11 12 12 11 10 9 9 8 8 8 8 9 9 10 10 10 9 10 9 8 7 7 8 8 9 9 10 10 10 9 7 6 4 5 7 9 10 12 12 12 12 12 12 11 10 9 7 6 8 10 12 10 5 3 4 6 7 7 7 7 7 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 13 14 14 11 8 7 7 8 9 9 9 9 10 11 13 15 16 17 17 17 17 17 17 16 14 13 12 10 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 8 8 8 9 8 9 9 8 8 7 8 8 nan
nan 4 5 7 8 10 11 12 11 10 8 7 7 7 8 8 8 9 9 9 9 9 8 6 5 6 7 9 10 10 9 8 8 8 9 9 10 10 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 9 9 8 7 6 7 10 12 13 13 13 12 12 12 11 10 8 6 7 9 11 13 11 7 4 4 6 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 11 13 15 17 15 11 8 7 8 10 10 9 8 8 10 11 14 16 18 18 18 17 17 18 19 18 16 15 13 11 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 10 nan
nan 5 6 7 9 10 11 12 11 10 8 7 7 7 7 8 8 8 9 9 10 9 8 7 6 6 8 9 10 10 9 8 7 7 7 8 8 9 9 9 10 11 12 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 7 8 8 9 9 9 10 10 9 9 8 9 11 12 13 13 12 13 13 11 10 7 6 6 8 10 10 9 7 5 5 6 7 8 8 8 7 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 11 12 12 13 14 15 15 14 14 16 17 17 15 10 8 9 10 10 10 8 7 8 10 12 15 18 20 20 19 18 18 18 17 17 16 15 13 11 9 8 8 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 9 9 10 nan
nan 6 7 8 9 10 11 12 11 9 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 8 9 11 11 9 8 6 6 6 7 7 8 8 9 9 10 11 12 11 11 10 9 9 9 9 10 10 10 9 9 9 9 8 8 7 7 7 7 8 9 9 10 10 10 9 9 9 10 11 12 12 11 11 12 12 10 7 5 4 5 6 6 6 6 6 6 7 8 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 10 11 12 13 14 15 15 16 16 17 18 18 17 13 11 10 11 11 11 10 9 9 10 11 14 16 18 19 19 18 17 16 15 15 15 15 15 13 11 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 10 9 9 9 9 9 10 nan
nan 6 8 9 10 10 11 11 11 9 7 7 7 7 8 7 8 8 9 9 9 9 8 8 8 8 8 10 10 10 9 7 7 6 7 7 7 8 8 8 9 10 11 12 12 10 9 9 9 10 10 10 10 9 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 10 10 11 11 12 11 10 10 10 10 8 5 4 3 5 6 6 6 7 9 10 11 10 9 8 8 8 8 9 9 9 10 11 12 12 11 11 10 10 9 9 9 10 11 12 12 13 15 16 17 17 18 18 18 17 14 13 13 14 14 12 11 11 11 11 12 13 15 16 15 15 14 14 13 12 12 13 14 14 13 11 10 9 8 8 8 8 9 10 9 9 9 10 10 10 11 10 10 10 10 10 9 9 9 10 9 9 10 10 11 10 10 10 10 10 nan
nan 7 8 9 9 9 10 11 11 10 8 6 6 7 8 8 7 8 8 9 9 8 8 8 9 9 10 10 10 9 8 7 7 7 8 8 8 8 8 8 9 9 11 12 11 10 9 9 10 11 11 10 9 9 9 9 9 8 8 7 8 9 8 8 8 8 8 9 9 9 10 11 11 11 12 11 10 9 9 9 8 7 6 5 5 6 8 8 9 10 11 11 11 9 8 8 9 9 9 9 9 10 11 11 12 12 11 10 10 9 9 9 9 9 10 11 12 13 15 16 17 18 19 19 17 15 13 13 13 13 14 13 12 12 12 11 10 11 12 12 11 11 10 10 11 11 11 12 13 13 13 12 11 9 9 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 10 10 10 10 11 12 12 11 11 11 11 11 nan
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nan 8 9 10 11 11 11 10 10 9 8 9 10 11 12 12 12 11 10 8 6 5 6 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 9 9 8 8 9 9 10 10 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 9 9 9 10 10 10 11 12 12 12 11 10 11 11 11 11 11 12 12 11 11 11 11 11 10 9 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 10 10 10 11 9 5 0 -2 1 5 9 12 15 18 20 21 23 24 22 18 13 10 9 8 8 7 7 8 9 10 11 10 10 9 8 7 7 6 3 0 -0 8 18 24 28 26 19 14 11 10 9 8 8 9 10 12 13 14 16 16 14 12 10 10 10 10 9 9 9 10 10 10 10 9 10 10 nan
nan 8 8 9 10 11 10 9 8 8 8 8 9 10 11 12 13 12 10 8 6 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 10 10 9 9 9 10 10 10 10 11 11 12 12 11 10 10 10 10 11 12 12 12 11 11 11 11 11 10 10 10 10 10 9 9 10 11 11 11 11 11 11 10 9 9 9 10 10 10 9 6 2 -2 -0 5 9 12 15 18 21 22 23 24 23 20 14 10 8 7 7 7 7 8 10 11 11 11 10 9 8 8 9 7 5 -1 -3 1 9 17 26 28 25 21 18 15 12 10 9 8 9 11 12 15 17 17 16 13 11 10 10 10 9 9 9 9 9 9 9 9 9 10 nan
nan 8 8 8 8 9 10 10 8 8 8 9 10 11 12 13 13 12 10 8 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 11 12 12 11 11 10 9 10 11 12 12 12 12 11 11 11 10 9 9 10 10 9 9 9 9 10 11 11 12 12 11 10 9 8 9 10 10 10 9 8 3 -1 -1 3 7 11 15 18 20 22 22 24 24 22 15 10 8 8 8 7 7 8 9 10 10 10 9 9 9 9 9 8 7 2 -1 -1 0 5 16 24 26 27 25 21 17 13 10 8 9 10 11 14 17 18 17 15 12 11 10 10 9 9 9 9 9 9 9 9 9 10 nan
nan 8 6 6 7 9 10 10 9 10 10 11 10 10 11 11 11 10 9 8 8 8 8 8 8 9 10 11 10 10 10 10 10 9 9 9 9 9 9 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 11 12 12 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 10 11 12 12 12 12 12 12 12 10 9 9 9 10 10 10 9 9 9 10 12 12 12 12 10 9 9 9 9 9 10 10 10 5 -0 -1 1 5 10 14 16 18 20 21 23 24 23 17 11 9 8 8 8 8 8 9 9 10 9 9 9 10 9 8 7 7 6 4 0 -3 -2 4 13 19 23 24 20 17 13 11 9 9 9 10 13 16 19 20 18 15 12 11 10 10 10 10 10 9 9 9 9 10 11 nan
nan 8 7 6 8 10 11 11 11 11 11 10 9 9 10 10 10 10 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 10 10 9 8 7 7 8 8 9 10 10 10 10 10 11 11 11 11 12 12 12 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 11 11 12 11 12 13 13 12 10 8 8 9 11 12 11 9 8 8 10 11 12 12 12 11 10 9 9 9 9 9 10 10 6 1 -1 -1 2 8 12 14 16 18 20 22 24 24 20 14 11 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 9 8 5 0 -3 -2 3 8 14 16 14 13 11 10 9 8 8 9 12 15 19 22 21 18 14 11 10 10 10 11 11 11 10 10 10 10 11 nan
nan 7 8 9 10 12 13 12 11 10 9 9 8 9 9 9 10 10 10 10 10 9 7 7 7 9 10 10 10 11 11 10 10 9 9 9 10 10 9 8 7 7 8 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 11 10 9 8 8 9 10 10 10 10 12 13 12 11 8 7 7 9 11 11 10 9 8 8 10 11 11 11 11 11 11 10 10 9 9 9 9 10 7 3 -1 -4 0 7 10 12 14 17 20 21 23 24 22 17 12 10 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 10 11 10 6 2 -1 -1 1 7 11 11 10 9 8 8 8 8 8 9 12 16 20 21 20 16 13 10 10 11 11 12 13 12 13 13 13 12 nan
nan 7 9 11 13 14 13 12 10 9 8 8 9 9 9 9 10 10 10 10 10 8 7 6 7 9 10 10 11 11 11 10 10 9 9 9 9 9 8 7 7 8 9 10 10 11 11 10 10 10 10 11 11 11 12 12 12 11 11 10 10 11 11 11 12 12 12 11 11 12 12 11 11 11 11 12 12 12 11 9 8 7 8 8 8 8 9 10 11 11 11 9 7 7 9 10 11 11 10 9 8 9 10 11 11 11 11 11 11 10 9 9 9 9 9 10 9 5 0 -4 -1 5 8 11 13 16 19 21 23 25 23 19 14 10 9 9 8 8 7 8 10 10 10 9 9 9 9 9 10 11 12 12 11 8 3 -0 0 5 9 10 10 9 8 8 8 8 8 8 10 12 16 20 21 18 14 11 10 11 12 13 15 17 18 18 16 13 nan
nan 8 10 13 14 13 12 10 8 8 8 8 9 9 9 9 10 10 10 10 9 8 7 6 7 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 8 9 10 10 11 11 10 10 9 10 10 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 11 11 12 12 11 9 8 7 7 8 8 8 9 10 10 10 9 8 8 9 11 11 12 11 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 10 10 9 6 1 -2 -1 3 7 10 13 16 18 21 23 26 25 21 15 11 9 9 8 7 7 8 9 10 10 10 9 9 9 9 10 10 11 12 12 11 8 4 3 5 8 10 10 9 8 8 8 8 8 8 9 10 14 18 20 19 15 12 12 13 15 17 18 20 21 21 18 15 nan
nan 9 10 12 12 11 10 9 8 8 8 8 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 10 10 10 11 11 10 10 9 8 8 8 8 9 10 10 11 11 11 11 10 10 9 10 10 11 11 11 12 12 12 11 11 11 11 12 12 13 13 12 12 11 11 10 11 11 10 10 10 10 11 12 11 9 8 7 8 8 8 9 9 10 10 9 9 9 10 11 11 11 11 11 11 11 10 11 11 11 11 10 10 9 9 9 10 9 9 9 9 7 7 6 3 0 0 3 7 10 13 15 17 20 24 26 26 23 18 13 9 8 8 7 7 8 9 10 10 10 10 10 9 9 10 10 10 10 11 11 9 7 6 8 9 10 10 9 8 8 8 8 8 8 8 8 11 16 19 19 15 12 13 16 19 19 19 18 17 17 16 14 nan
nan 8 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 11 12 12 12 13 13 13 12 11 10 10 10 11 10 10 9 9 10 11 12 11 10 9 8 9 9 9 10 11 11 9 8 7 9 10 11 11 11 11 12 11 11 11 11 11 11 10 9 9 9 10 11 11 9 9 8 5 3 3 5 5 5 5 6 8 9 12 14 17 19 23 26 27 26 23 16 11 8 7 7 7 8 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 7 7 8 10 10 9 9 9 8 8 7 7 7 7 7 9 13 17 18 15 12 13 16 19 19 17 15 14 14 15 14 nan
nan 8 8 8 9 10 10 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 10 10 10 10 10 9 9 8 8 8 8 9 10 11 11 11 11 11 11 10 10 10 10 11 11 12 12 11 11 11 11 12 12 13 13 13 12 11 10 9 9 10 11 10 9 8 8 9 11 11 11 10 10 10 9 9 9 10 11 11 9 7 7 8 10 10 10 10 11 12 12 12 12 12 11 11 11 10 11 11 11 11 10 9 8 8 6 3 2 3 4 7 11 12 10 8 9 12 16 19 22 25 27 27 27 21 15 12 9 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 10 9 8 6 6 8 9 9 9 8 8 8 8 7 7 7 7 7 8 11 14 16 16 14 13 14 15 15 15 14 14 16 16 16 nan
nan 7 8 9 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 10 10 10 10 10 9 8 8 8 8 9 10 11 11 11 11 11 11 10 10 10 11 11 11 12 11 11 11 11 11 12 12 13 13 13 12 11 10 9 9 10 10 9 8 8 9 10 11 11 10 10 10 11 11 10 10 10 11 11 9 8 8 9 10 10 10 11 12 12 12 13 13 12 12 12 12 12 11 11 11 10 9 8 8 9 9 7 4 1 -0 6 15 16 13 8 7 11 16 19 20 22 24 26 27 25 21 17 14 12 11 10 9 9 10 10 10 9 9 9 9 9 8 9 9 8 6 5 5 7 7 8 7 7 7 8 7 7 7 7 8 9 9 10 10 12 13 14 13 13 12 12 12 13 14 16 16 16 nan
nan 8 9 10 10 10 9 9 8 7 7 7 8 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 9 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 11 10 8 8 9 9 9 9 8 9 10 10 10 11 11 11 12 12 11 10 10 10 10 9 9 9 10 10 11 10 11 12 13 13 13 13 13 13 13 12 11 11 10 10 10 9 8 8 9 11 10 6 1 -3 5 15 17 14 7 6 11 16 18 19 19 20 22 24 25 23 21 18 15 13 11 9 9 9 9 9 9 9 9 9 9 10 11 11 10 6 4 4 5 6 6 6 6 6 6 7 7 7 8 10 12 13 12 10 8 9 10 11 11 11 11 11 12 13 14 15 14 nan
nan 8 9 10 10 10 9 9 8 7 7 7 8 9 10 10 10 9 8 8 9 10 10 9 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 9 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 9 10 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 10 10 9 10 10 10 10 10 11 12 13 14 14 13 12 13 13 13 12 10 9 10 10 10 9 9 9 10 11 12 10 5 2 6 12 13 10 6 7 12 16 17 17 17 18 20 21 22 21 20 19 16 15 13 11 10 10 9 8 8 8 9 9 10 12 15 16 16 12 7 5 5 5 5 5 5 5 5 5 6 7 8 11 14 17 18 15 11 10 9 10 10 10 10 10 11 13 14 15 14 nan
nan 10 10 11 10 10 10 9 9 8 7 7 8 9 10 11 11 10 8 8 10 10 10 9 8 8 8 9 9 9 9 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 11 11 11 12 11 10 10 10 10 9 9 9 10 10 9 10 10 11 11 11 10 9 9 9 10 10 10 10 10 9 9 10 11 12 13 13 12 10 10 11 12 12 12 10 10 10 10 9 9 9 9 10 11 13 13 10 7 7 7 5 4 5 9 12 14 15 15 16 17 19 19 19 19 18 17 16 16 16 15 14 11 10 8 8 8 9 10 12 15 18 20 20 17 11 8 6 6 6 5 5 5 5 5 4 5 6 9 13 17 18 17 14 12 11 10 10 9 9 9 10 11 12 13 13 nan
nan 10 11 11 11 11 10 9 8 7 7 7 8 10 10 11 12 11 9 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 11 10 10 10 10 10 10 12 12 12 12 11 11 10 10 9 9 10 9 8 8 10 11 11 11 10 9 9 9 10 11 11 10 9 8 8 9 10 12 12 11 9 8 8 9 10 10 11 11 10 10 9 9 9 9 9 10 11 12 13 12 11 8 4 -0 -0 4 7 10 11 12 13 14 16 17 18 18 17 16 14 14 15 17 18 16 14 11 9 9 10 11 13 15 17 19 19 18 14 11 8 7 6 6 6 5 5 5 4 2 1 0 2 5 10 13 13 12 11 11 10 10 9 8 8 9 9 10 11 12 nan
nan 11 12 12 11 11 10 9 7 6 7 8 9 10 10 11 11 11 10 10 10 9 9 8 8 8 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 12 12 12 12 12 12 11 11 10 10 10 10 11 13 13 14 15 15 14 12 10 10 10 10 9 8 9 10 10 11 11 10 10 9 10 11 11 11 9 8 8 8 9 10 11 10 9 8 8 8 8 9 10 11 11 10 10 9 8 9 9 9 10 11 11 12 13 13 10 5 -0 -1 2 4 5 6 8 10 11 12 15 16 16 15 14 13 13 14 17 19 19 17 15 12 12 14 16 18 19 19 18 16 12 10 8 7 6 6 5 4 4 4 3 3 1 -2 -4 -4 -3 1 4 7 10 10 10 10 9 9 9 8 9 10 10 11 11 nan
nan 13 12 10 10 10 10 9 7 7 8 9 9 10 10 11 10 10 10 10 10 9 8 7 7 7 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 12 13 14 16 17 17 15 12 10 9 9 9 9 9 10 11 11 10 10 10 9 10 10 11 10 9 8 8 7 8 9 10 9 9 8 8 9 8 8 8 10 11 11 10 9 8 8 8 9 9 10 10 11 12 13 13 12 9 6 4 3 2 1 2 4 4 4 7 11 13 14 13 12 12 12 14 16 19 20 20 18 17 17 19 20 21 21 19 16 12 9 7 6 6 5 4 3 2 1 1 2 2 2 1 -1 -2 -2 -1 2 5 7 8 8 9 10 10 10 10 10 11 11 11 11 nan
nan 12 11 9 9 9 10 9 8 8 9 9 9 9 10 10 10 9 9 10 10 9 7 6 6 7 8 9 9 9 9 8 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 12 14 15 15 14 12 10 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 8 7 8 8 9 9 9 8 9 9 9 8 8 8 9 10 10 10 9 8 8 8 9 9 10 10 11 11 12 13 13 13 12 9 6 2 1 2 1 -1 -2 3 9 12 12 11 11 11 12 13 15 17 19 20 19 18 18 19 19 19 17 14 11 7 4 3 4 4 4 2 1 2 3 4 6 7 9 10 8 5 3 3 3 4 4 5 5 6 8 10 11 11 11 11 11 11 11 nan
nan 11 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 7 6 5 6 8 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 10 11 12 13 14 14 13 12 11 11 10 9 10 11 12 12 11 11 11 11 10 9 9 9 9 9 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 13 14 15 14 12 8 5 4 4 1 -1 -2 3 10 12 12 10 9 11 12 13 14 15 15 15 14 14 13 12 11 11 10 8 6 4 2 3 4 6 7 8 8 10 12 13 14 15 16 16 12 8 4 1 0 -0 0 1 2 4 7 9 11 11 11 10 10 11 11 nan
nan 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 7 8 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 12 13 13 13 14 14 14 13 13 11 10 11 11 11 11 11 11 12 11 10 10 9 9 9 9 9 8 8 8 8 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 13 14 15 14 13 10 7 7 7 5 3 3 7 11 12 11 10 10 11 12 13 14 13 12 11 10 9 8 7 5 5 5 6 7 8 8 9 9 10 11 12 12 13 15 15 15 15 14 12 9 5 1 -2 -3 -3 -2 0 2 4 7 9 10 10 10 10 10 11 11 nan
nan 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 10 11 11 12 13 13 13 13 14 15 15 15 14 11 9 9 9 10 10 11 11 11 11 10 10 9 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 13 13 14 14 11 9 9 9 9 8 8 9 10 11 11 11 11 11 11 12 13 13 13 13 12 11 10 9 8 7 7 7 8 9 10 8 6 5 5 6 5 3 2 3 4 5 5 5 5 5 5 4 3 2 2 3 4 5 7 9 10 10 10 10 10 10 11 12 nan
nan 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 13 14 15 15 15 13 9 8 8 8 9 10 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 13 14 13 10 9 8 9 10 10 11 11 11 11 10 11 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 9 7 5 4 1 -2 -5 -5 -4 -3 -3 -4 -4 -3 -2 0 3 5 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 nan
nan 9 10 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 10 10 11 10 9 9 9 9 9 9 10 10 10 10 9 10 10 10 11 11 11 11 11 12 13 13 13 14 14 14 12 11 11 12 13 14 14 13 11 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 8 7 7 7 8 9 10 9 9 9 10 11 11 11 10 10 10 10 9 9 9 10 10 10 11 11 12 12 12 11 9 9 9 11 12 12 11 11 10 10 11 12 12 13 13 13 13 13 14 14 14 14 13 13 12 12 11 10 6 4 2 0 -2 -3 -3 -2 -1 0 1 1 2 3 5 6 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 7 nan
nan 9 10 10 10 11 11 11 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 7 7 8 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 13 14 14 14 14 14 13 11 11 11 12 13 13 12 12 11 11 10 9 10 10 11 11 11 10 10 9 9 9 10 11 11 10 8 6 6 5 4 4 5 7 8 9 9 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 10 11 11 10 8 7 6 7 8 11 14 15 15 14 12 11 11 11 12 12 13 13 14 15 15 15 16 18 18 17 14 12 11 10 10 9 8 7 6 6 6 6 6 6 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 9 7 nan
nan 9 9 9 10 10 11 11 10 10 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 13 13 14 13 13 13 12 12 12 12 13 14 14 14 12 12 12 12 11 10 10 11 12 13 12 11 9 8 8 8 8 9 10 8 6 3 1 -1 -1 -2 -1 2 5 7 8 9 9 10 11 11 10 9 8 9 10 9 8 8 8 8 9 9 9 8 4 -0 -1 1 3 6 9 13 16 17 17 16 14 13 13 12 13 14 16 18 17 16 15 16 18 20 19 17 13 10 10 10 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 10 10 10 9 9 10 10 10 10 10 9 nan
nan 9 9 9 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 10 9 10 10 10 10 10 10 10 11 11 12 13 13 14 14 14 14 13 12 12 12 12 13 15 15 15 14 13 13 13 13 12 11 12 13 14 13 11 8 5 2 2 2 2 3 4 4 2 0 -2 -4 -6 -5 -2 1 3 5 6 7 8 8 9 9 8 7 8 9 9 9 7 7 7 7 7 7 5 2 -3 -6 -4 -1 3 6 7 8 10 12 13 14 14 14 14 13 13 16 19 21 19 17 12 11 14 16 18 17 14 11 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 nan
nan 9 9 10 11 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 9 10 9 10 10 10 10 10 10 10 10 11 12 13 14 14 15 15 14 14 12 11 11 12 13 14 15 15 14 14 14 13 13 12 12 12 13 13 12 10 7 4 1 -2 -5 -6 -5 -2 -1 -0 -1 -2 -3 -3 -1 3 5 6 6 5 5 4 4 5 6 6 6 8 9 9 8 6 5 5 4 3 2 -0 -3 -5 -5 -1 3 6 7 7 6 5 5 6 8 9 10 11 11 12 15 18 19 18 15 10 7 8 10 12 13 12 10 9 8 9 9 9 9 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 10 10 10 10 10 10 nan
nan 9 10 10 11 11 11 11 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 13 14 15 15 14 14 13 12 12 11 11 11 12 13 14 15 14 13 12 11 11 10 11 11 11 11 11 11 11 10 7 4 0 -3 -4 -3 -2 -3 -4 -4 -3 0 5 8 10 10 10 9 7 5 4 5 6 6 7 8 10 10 8 5 3 2 1 -0 -1 -2 -2 -1 2 5 7 8 8 7 7 6 5 4 4 5 7 8 9 11 13 15 15 15 13 10 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 13 14 15 15 14 13 12 11 11 11 11 11 11 12 13 13 13 12 11 10 10 10 10 11 11 11 11 12 12 13 14 14 14 12 11 8 5 2 -1 -3 -4 -1 3 7 10 11 13 14 13 12 11 10 10 9 9 9 10 11 10 8 5 3 2 1 1 1 2 3 5 7 8 9 8 9 9 9 9 8 7 7 7 8 10 11 12 13 13 13 12 12 13 13 14 12 9 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 6 8 11 12 12 11 11 14 27 40 40 29 16 5 0 0 0 0 0 5 10 11 9 6 2 0 0 0 0 0 1 2 2 2 2 2 5 10 17 35 53 69 81 80 58 34 29 35 52 108 200 297 409 523 615 666 659 610 537 431
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