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 9 10 9 8 7 7 8 8 9 10 11 12 12 12 11 10 8 7 6 7 8 10 12 13 12 11 10 10 10 10 10 10 10 10 9 9 8 7 6 6 7 7 8 8 8 7 6 6 6 6 6 6 5 4 5 7 7 7 6 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 9 8 8 8 9 10 9 8 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 8 8 7 7 7 7 7 7 8 8 8 9 10 11 11 10 10 9 8 6 5 5 6 7 7 6 6 6 7 8 10 11 9 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 7 6 7 8 8 8 8 8 8 7 7 7 8 8 7 6 6 6 7 8 8 7 nan
nan 8 9 10 9 7 6 6 6 7 7 8 9 10 11 11 11 10 8 6 5 5 6 8 10 11 10 9 9 10 11 11 11 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 7 6 6 6 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 9 9 9 9 9 10 10 9 8 8 9 10 10 9 8 8 8 7 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 10 9 7 6 5 5 6 6 6 6 6 7 8 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 5 5 7 8 9 9 8 8 8 7 7 7 8 8 7 6 6 6 7 8 7 6 nan
nan 9 10 10 9 7 6 6 6 6 6 7 8 9 10 11 11 10 8 6 5 5 5 6 8 9 9 9 9 11 12 12 10 9 9 9 9 9 9 8 7 6 6 6 7 8 8 9 8 6 5 5 7 8 9 8 9 9 9 9 9 8 8 7 7 8 8 8 8 7 7 7 8 8 7 7 6 5 5 5 5 6 7 9 10 9 9 9 9 9 9 9 9 10 11 10 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 10 9 8 7 6 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 7 5 5 7 8 9 9 9 9 8 7 7 8 8 8 7 7 7 7 8 8 7 6 nan
nan 9 10 10 9 8 8 7 7 6 6 7 7 8 9 9 9 8 8 7 7 7 7 7 8 9 9 9 10 11 11 10 9 8 9 9 10 9 9 9 8 6 5 7 9 9 8 7 7 5 5 5 7 9 9 9 10 11 11 11 10 9 8 8 8 8 8 9 9 9 8 8 8 8 8 7 6 6 6 5 5 5 7 8 9 9 9 9 9 9 8 8 9 10 11 10 10 9 8 8 9 9 9 9 8 8 8 7 7 7 8 8 8 7 6 6 7 7 8 8 8 7 7 7 8 8 9 10 11 11 11 11 10 8 8 8 8 9 8 8 8 8 9 10 10 10 11 11 11 10 9 9 8 7 8 8 9 10 10 10 9 9 8 7 6 6 7 8 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 nan
nan 9 10 11 10 9 8 8 7 6 7 7 8 8 8 8 7 7 7 9 10 9 9 9 10 11 11 10 9 10 10 9 8 8 9 10 10 10 9 9 8 7 7 9 10 9 7 6 6 6 6 7 9 10 10 11 12 12 12 11 11 10 10 9 9 9 9 9 10 10 9 9 8 8 9 8 7 7 7 6 6 6 7 9 8 8 9 9 9 9 8 8 8 9 10 10 9 8 8 8 9 9 9 9 8 7 7 7 7 7 8 9 9 8 7 6 6 6 7 7 7 7 8 8 8 8 9 9 10 10 11 11 11 10 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 8 7 7 8 8 9 10 10 10 8 7 5 4 4 6 9 10 10 8 7 7 7 8 8 9 8 7 7 8 9 9 8 7 7 8 nan
nan 9 10 11 11 10 9 8 7 7 7 7 8 8 7 6 6 7 9 11 11 10 10 10 11 12 11 10 8 8 8 9 9 10 11 11 11 10 9 9 9 9 10 11 10 8 6 6 7 8 9 10 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 8 7 8 8 7 7 7 7 6 6 7 9 9 7 8 9 10 10 9 8 8 9 10 10 10 9 8 8 9 9 9 9 9 8 8 8 8 7 7 8 9 10 9 8 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 11 11 10 9 9 9 9 8 8 7 7 8 8 8 8 9 11 11 10 10 9 8 9 9 9 9 9 9 7 4 2 2 4 7 11 13 11 9 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 8 nan
nan 9 10 10 11 10 9 8 8 8 8 8 8 8 7 6 6 8 10 11 10 9 9 10 12 12 11 8 6 6 8 9 10 11 12 11 11 10 10 9 10 11 11 10 8 6 6 8 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 9 9 8 7 7 6 6 6 7 7 6 6 6 6 7 8 7 6 8 10 11 10 9 9 9 9 10 10 10 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 10 9 9 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 11 10 9 9 8 9 8 8 7 7 7 7 7 7 7 9 11 11 11 11 11 10 9 8 8 8 7 6 4 2 3 6 11 14 15 13 10 8 6 6 6 7 8 8 8 8 7 7 7 9 10 9 8 nan
nan 8 9 10 10 10 9 9 9 8 8 8 8 8 6 6 7 10 11 10 9 8 8 10 11 12 10 7 5 5 7 9 10 11 11 11 10 10 10 9 9 10 9 7 6 6 9 12 12 10 9 9 9 8 7 7 7 8 9 9 9 9 9 9 8 8 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 8 10 11 10 9 9 9 9 10 10 10 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 6 7 7 7 7 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 6 7 6 6 7 9 10 11 11 11 11 9 8 7 7 7 6 5 4 6 10 14 15 15 12 10 9 8 8 8 8 8 8 7 6 5 5 7 9 10 9 7 nan
nan 8 8 9 10 10 10 9 9 8 8 8 8 7 7 8 10 11 11 9 8 7 8 9 9 10 9 7 6 6 7 9 10 11 10 10 10 10 9 8 8 8 7 7 7 9 12 13 10 8 7 6 5 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 7 7 7 7 6 5 4 5 8 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 8 8 7 7 6 6 7 7 8 8 7 7 8 9 10 10 9 8 7 7 7 7 7 8 9 10 9 8 6 7 8 7 6 6 7 8 9 9 10 11 10 8 7 7 7 7 6 7 9 12 14 14 12 10 9 9 10 10 10 10 9 8 7 6 5 6 8 9 8 7 6 nan
nan 9 9 10 10 10 10 9 9 8 8 8 7 7 8 10 11 11 10 9 8 7 7 8 8 8 9 9 8 8 9 10 11 11 11 10 11 10 9 8 8 8 8 8 9 11 12 10 8 6 5 4 4 4 4 4 5 5 5 4 3 2 2 2 3 4 4 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 5 5 6 9 10 11 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 7 8 11 11 10 8 7 8 10 9 8 6 6 6 7 7 8 9 8 8 7 7 7 7 6 7 9 11 11 11 10 9 10 10 11 11 11 10 8 7 7 6 7 7 7 7 6 5 5 nan
nan 11 11 12 12 12 11 10 10 9 8 8 8 8 10 11 11 10 9 8 8 7 7 7 7 8 10 10 10 11 11 12 12 11 11 10 10 10 9 9 9 10 9 9 9 10 9 8 6 5 4 4 5 6 7 8 8 6 5 3 2 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 6 7 8 9 10 10 10 10 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 8 7 7 6 8 9 10 10 9 9 10 10 10 9 8 6 4 4 5 6 7 7 7 6 6 6 6 6 7 9 10 10 9 9 10 11 12 11 10 10 9 8 7 6 6 8 8 7 5 5 5 6 nan
nan 12 13 13 13 12 12 11 10 9 8 8 8 8 9 9 9 9 9 8 8 7 6 7 8 9 11 12 12 12 12 12 12 11 10 10 10 9 9 9 11 11 9 7 7 8 7 6 5 4 4 4 6 7 9 9 9 7 5 3 3 4 4 5 5 5 5 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 8 7 7 8 9 9 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 10 10 10 9 8 8 9 9 8 7 5 5 6 8 8 9 9 9 10 10 10 9 7 4 4 4 5 6 7 7 6 6 6 6 6 6 8 9 9 9 9 10 12 12 10 10 10 9 8 7 7 7 8 7 6 5 5 6 6 nan
nan 11 12 12 12 12 11 10 10 9 8 8 7 7 7 7 8 8 8 8 7 7 7 8 9 11 12 13 13 12 12 12 11 10 10 10 10 9 9 9 11 11 8 6 5 6 7 7 5 3 3 4 5 7 8 9 9 7 5 4 5 6 7 7 6 5 4 4 4 4 6 7 8 8 8 8 8 7 7 7 8 8 8 6 6 6 7 8 9 9 9 8 7 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 7 6 5 6 7 9 10 10 10 9 9 8 9 9 9 6 3 3 4 6 8 8 8 9 9 9 10 10 9 7 6 6 6 6 6 6 7 7 7 6 5 4 5 7 8 8 8 9 10 10 9 9 10 9 8 8 9 9 8 7 5 5 6 7 7 nan
nan 9 9 10 11 11 10 9 9 8 8 7 7 7 6 6 7 8 8 8 7 7 7 9 10 12 13 14 13 11 11 11 10 10 10 10 10 9 9 10 10 9 6 5 4 5 7 7 6 4 4 4 5 6 8 10 10 8 6 5 6 8 8 7 6 5 5 5 5 6 8 10 10 9 9 8 8 8 8 8 8 8 8 6 6 6 6 7 9 9 8 8 7 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 8 8 9 8 8 7 6 6 6 7 8 9 10 10 10 9 9 9 9 8 6 3 2 4 6 7 7 7 8 8 9 9 9 9 9 9 9 8 7 7 6 7 8 8 7 4 3 3 5 6 7 7 8 8 8 8 8 9 9 9 9 10 9 7 5 4 5 7 8 9 nan
nan 8 8 8 9 10 10 9 9 9 8 8 8 7 6 6 7 7 8 8 8 8 8 9 11 12 13 14 12 10 9 9 9 9 10 10 9 9 9 9 10 9 7 5 5 5 7 7 6 5 5 5 6 7 9 11 10 8 6 5 6 7 7 6 5 6 7 8 8 9 9 10 9 9 8 8 9 8 8 8 8 9 8 7 6 6 6 6 8 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 8 5 3 3 5 6 7 7 7 7 7 8 8 8 9 10 10 10 10 10 9 9 9 10 10 9 7 5 4 5 6 7 7 8 7 5 6 7 8 9 9 9 8 7 6 4 5 6 8 9 9 nan
nan 9 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 9 9 10 11 12 13 14 12 10 9 8 9 9 10 10 9 9 9 9 9 8 7 5 5 6 7 7 6 6 6 7 8 9 10 11 10 7 4 4 5 5 5 5 6 8 9 10 10 9 8 8 8 8 8 8 9 8 8 8 9 9 9 8 8 7 6 6 7 9 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 9 9 8 8 8 9 10 10 10 11 11 10 9 7 5 5 6 7 8 7 7 7 7 7 7 8 8 9 10 10 10 11 11 11 12 12 12 12 11 10 8 7 7 7 7 6 5 5 5 6 7 8 8 7 6 5 4 4 6 7 9 9 8 nan
nan 11 9 9 8 8 9 9 9 10 10 10 9 9 8 7 7 7 8 9 10 10 10 10 10 11 12 13 12 10 9 8 9 9 10 9 8 8 8 9 9 8 6 5 5 6 7 7 7 7 8 9 10 11 12 12 9 5 3 3 4 5 6 7 8 10 11 10 9 8 7 7 8 8 8 9 8 8 8 9 9 10 9 9 9 8 7 6 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 10 10 11 12 12 12 12 12 12 10 9 8 8 6 5 5 5 6 7 6 6 5 5 4 4 4 6 7 8 9 8 7 nan
nan 12 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 11 10 10 10 10 10 11 12 12 10 9 9 9 10 9 8 8 8 9 9 9 8 6 5 5 6 7 7 8 9 10 11 12 13 13 11 8 5 4 4 5 7 8 9 9 10 9 9 8 8 8 8 8 8 8 9 8 8 8 9 9 9 8 8 9 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 8 8 7 7 7 7 7 7 8 7 6 7 7 8 10 10 10 10 10 9 8 7 7 8 8 8 8 7 7 7 8 8 8 8 9 10 10 11 11 11 11 11 11 10 9 9 8 6 5 5 6 7 6 5 5 4 4 4 5 5 7 8 8 7 7 6 nan
nan 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 11 11 10 11 12 12 12 11 11 11 10 9 8 8 8 9 9 8 7 5 5 6 7 7 8 9 10 11 12 13 13 12 9 7 5 5 7 8 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 10 8 7 7 8 8 9 8 8 8 8 8 7 7 8 9 10 10 10 10 10 10 10 10 9 9 9 8 6 5 6 6 6 5 5 4 4 5 6 6 6 7 7 7 7 7 7 nan
nan 12 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 11 12 12 11 11 11 12 13 13 12 11 10 9 9 8 8 8 8 7 6 5 6 7 8 8 9 10 11 12 12 12 12 10 7 6 7 8 10 11 12 12 11 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 7 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 11 11 11 9 7 7 7 7 8 9 9 9 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 5 5 5 6 7 7 7 7 7 6 7 7 7 nan
nan 11 12 13 13 13 12 12 12 13 14 14 14 14 13 11 10 9 9 9 9 10 12 13 13 11 10 9 11 13 13 13 11 10 9 9 8 8 7 7 6 6 7 8 8 9 9 10 11 11 11 11 10 9 8 6 7 9 11 12 13 13 11 9 7 6 6 7 8 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 7 7 7 6 6 6 5 5 5 5 5 6 7 8 8 9 9 9 9 9 8 8 8 7 7 7 8 9 9 8 8 7 7 7 6 7 7 7 7 8 8 8 9 10 10 10 9 9 8 8 9 10 10 10 8 7 7 7 7 8 8 9 9 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 nan
nan 10 11 11 11 11 11 11 12 14 16 16 16 15 13 11 8 7 8 9 10 11 12 12 12 10 8 8 10 12 13 13 11 10 9 9 8 7 7 6 6 7 8 9 9 9 10 11 11 10 10 10 9 8 7 6 8 10 12 12 12 11 9 6 4 4 6 7 8 8 8 7 7 7 8 8 8 8 7 7 7 6 6 7 7 7 7 8 7 7 7 6 6 6 5 4 5 6 7 8 9 9 9 8 8 8 8 8 8 8 8 9 10 10 8 7 7 6 6 6 6 6 7 8 8 8 9 10 10 11 10 10 9 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 7 6 6 6 6 6 7 8 7 7 7 7 7 7 7 8 8 8 9 10 9 8 9 8 8 7 8 9 9 nan
nan 10 10 10 10 9 10 11 13 15 16 16 15 14 12 10 7 6 8 10 11 11 11 10 10 9 9 9 10 12 13 12 12 11 10 9 8 7 6 6 7 8 9 9 8 9 10 11 11 10 10 9 8 7 6 8 10 12 12 12 11 9 7 5 4 4 6 8 8 9 8 8 7 7 7 7 8 8 7 7 7 7 6 7 7 7 8 8 8 7 7 7 7 7 6 5 4 5 7 8 9 9 9 8 8 8 8 8 8 8 8 9 10 9 9 8 7 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 6 6 7 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 9 9 9 9 nan
nan 10 10 10 9 9 10 11 13 13 14 13 12 12 10 8 6 6 8 10 11 11 9 8 8 8 9 10 11 11 12 12 11 11 11 10 8 6 5 5 6 7 8 8 8 9 11 11 11 10 9 8 7 6 7 10 12 13 12 11 9 8 6 4 4 5 7 8 9 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 5 5 5 6 8 10 10 9 8 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 nan
nan 10 10 10 10 9 10 11 11 11 11 10 9 9 8 7 6 6 8 10 10 10 8 6 6 8 9 10 10 11 11 11 11 12 11 10 7 6 4 4 4 6 7 7 8 9 11 11 10 9 8 7 7 7 9 11 12 12 11 10 8 6 3 3 5 7 8 9 9 9 8 7 6 6 7 6 6 6 6 7 7 7 7 7 8 8 8 8 7 8 8 8 9 8 8 6 5 5 6 9 11 11 10 9 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 7 7 7 7 8 9 10 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 nan
nan 10 10 10 10 10 10 10 10 9 9 8 7 7 7 6 6 7 8 9 9 8 6 5 6 8 9 10 10 10 11 11 11 11 11 9 7 6 5 3 3 5 6 7 9 10 11 11 10 9 8 7 8 9 11 12 12 12 10 9 7 4 2 3 6 8 9 9 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 7 6 5 6 9 10 10 9 8 7 8 9 9 8 7 6 6 6 6 6 7 7 8 8 8 8 9 10 10 10 10 9 9 9 9 8 8 7 8 9 11 12 12 11 10 9 9 9 9 8 7 7 7 8 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 nan
nan 11 11 10 10 10 10 10 9 9 8 8 7 6 6 6 7 8 8 9 9 7 6 5 7 8 9 9 10 10 10 11 11 11 10 9 8 6 5 3 3 5 7 8 10 11 11 11 9 8 8 8 9 10 11 12 11 11 10 8 6 4 3 5 7 9 10 9 7 7 6 7 7 7 6 5 6 6 6 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 7 5 5 7 9 10 10 9 7 7 7 8 9 9 8 7 6 6 6 6 7 8 8 8 8 8 9 10 10 10 9 9 9 9 9 8 8 8 9 10 12 13 12 10 8 6 7 8 9 9 9 8 7 6 8 9 10 10 10 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 nan
nan 12 12 11 11 11 10 10 9 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 9 9 9 10 11 10 10 10 9 9 8 6 5 4 4 5 7 9 10 11 11 10 9 9 8 9 10 11 11 11 11 10 8 7 4 4 6 7 9 9 9 8 7 7 8 8 7 6 6 6 6 7 7 8 8 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 6 6 7 9 10 10 10 9 8 7 7 8 9 9 8 7 6 6 7 8 8 8 9 8 9 9 9 9 9 9 9 9 9 8 8 8 9 11 12 12 12 11 9 7 5 6 8 9 10 10 9 7 6 7 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 9 8 8 8 8 9 9 10 10 11 12 nan
nan 12 12 11 10 10 10 10 10 10 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 10 11 10 10 9 9 9 8 6 5 4 4 6 8 9 10 10 10 10 10 9 8 9 10 10 11 11 10 9 7 6 5 6 8 9 9 8 7 6 7 8 9 8 7 6 6 6 7 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 9 11 12 12 12 11 10 9 8 7 8 9 9 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 9 8 8 8 9 9 10 10 11 11 12 nan
nan 11 11 10 10 10 11 10 9 9 9 9 9 8 9 9 9 9 8 7 8 8 9 9 9 9 9 9 9 10 10 10 9 10 10 9 7 6 4 4 5 7 8 9 9 10 10 10 10 9 9 9 10 10 10 10 9 8 7 7 8 9 10 9 8 6 5 5 7 9 8 8 7 7 6 7 9 10 10 10 9 9 9 8 8 8 8 9 9 8 8 8 8 7 6 7 7 8 9 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 9 10 11 11 11 10 10 10 9 9 9 9 10 9 9 9 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 9 9 8 8 8 9 10 10 10 11 11 11 nan
nan 11 11 11 10 10 10 10 10 9 10 10 9 9 9 10 10 9 8 7 7 8 9 10 10 9 8 8 9 10 10 9 9 9 9 9 7 5 4 4 5 7 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 9 10 11 9 8 7 6 5 6 8 9 8 7 6 6 7 8 10 11 11 11 10 9 9 9 9 9 10 9 9 9 8 8 8 7 6 7 8 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 11 10 10 10 10 9 9 9 9 9 9 9 8 8 9 10 9 9 9 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 10 10 11 10 nan
nan 10 11 11 10 10 10 9 10 10 10 10 10 10 10 11 10 9 8 7 7 8 9 10 10 9 8 8 9 10 10 9 9 9 9 8 7 6 5 5 6 7 7 8 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 10 10 10 8 8 7 7 7 8 9 9 8 7 6 7 9 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 10 11 12 12 12 11 10 9 8 8 8 8 9 10 10 9 7 7 9 10 10 10 9 10 10 9 8 8 7 7 8 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 8 8 8 9 10 10 9 nan
nan 9 9 10 10 10 9 8 9 10 11 11 10 11 11 11 10 9 8 7 8 9 10 10 11 9 8 8 9 10 9 9 8 8 9 8 8 7 6 6 6 7 7 8 9 9 9 10 10 11 11 10 9 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 7 6 7 9 11 11 11 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 8 9 9 10 10 9 8 9 10 11 11 10 10 10 11 10 10 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 10 9 9 8 nan
nan 9 9 9 9 9 8 8 9 10 11 11 10 10 11 10 10 9 8 8 8 9 10 11 11 9 8 9 10 10 9 8 8 8 8 9 8 8 7 7 7 7 8 8 9 10 10 9 10 10 10 9 9 8 8 9 9 8 7 6 6 7 9 10 11 11 11 10 9 8 7 7 9 11 12 12 11 10 9 8 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 8 8 9 10 11 10 9 8 8 9 10 10 9 8 9 9 10 10 11 11 11 11 10 10 11 11 11 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 8 7 7 nan
nan 10 10 9 9 9 8 8 10 11 12 11 9 9 10 10 9 9 9 9 8 9 10 11 11 9 8 9 10 10 9 8 8 8 9 9 8 8 7 7 7 8 8 9 10 10 10 9 9 9 10 10 10 9 8 8 7 7 6 6 7 8 10 11 12 12 12 11 10 9 9 9 10 11 12 11 11 10 9 8 8 9 8 8 8 8 8 9 9 9 9 9 10 9 8 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 9 9 9 9 8 8 8 9 10 10 9 7 7 8 10 11 10 9 8 8 9 10 11 11 10 10 9 9 10 11 11 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 nan
nan 11 11 10 10 9 9 9 10 11 11 10 8 9 10 10 10 9 9 9 9 9 10 11 10 9 8 9 10 10 10 9 9 9 9 9 8 7 7 7 7 7 8 8 9 10 9 8 8 9 10 10 10 10 8 7 6 6 6 7 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 9 8 7 7 8 8 9 9 9 8 8 8 7 7 7 7 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 10 11 10 8 7 7 8 10 10 10 9 8 8 9 10 11 11 10 8 7 8 9 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 nan
nan 12 12 11 10 10 10 10 10 10 10 9 8 8 10 11 11 10 10 10 10 10 10 10 10 9 8 9 10 11 11 11 11 10 9 9 8 7 6 7 7 7 7 8 9 9 9 8 8 9 10 11 10 9 7 6 5 6 7 8 9 10 10 11 11 11 11 11 12 12 11 10 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 8 8 8 8 9 9 8 8 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 11 10 8 8 8 9 10 10 8 8 8 8 9 10 11 11 10 9 8 7 8 9 11 11 12 13 12 11 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 7 6 6 6 nan
nan 12 12 12 12 11 10 10 9 9 9 9 8 8 9 10 11 11 11 11 11 10 10 10 10 9 9 9 10 11 13 13 12 11 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 11 11 10 8 6 5 5 6 7 8 8 9 10 11 11 11 11 12 12 12 10 9 8 8 7 8 9 10 11 10 9 9 9 9 10 10 10 9 9 10 10 9 9 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 8 8 9 9 9 9 10 10 10 11 12 11 9 9 9 10 11 10 9 8 7 8 8 9 10 10 10 10 10 9 8 8 8 9 11 12 12 11 10 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 7 7 nan
nan 12 11 12 12 12 11 9 8 8 9 9 9 8 8 9 11 12 12 12 12 11 10 10 10 10 10 10 10 11 13 14 14 13 11 10 8 8 8 8 7 7 7 8 8 8 8 7 8 9 10 10 9 7 6 5 5 6 7 7 7 8 10 11 11 11 12 12 12 11 9 8 8 8 8 9 9 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 8 9 9 9 10 10 10 10 11 11 12 11 9 10 11 12 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 10 11 11 10 9 8 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 nan
nan 11 10 10 11 11 11 9 8 8 9 10 9 8 7 9 11 11 11 11 12 12 11 11 11 11 11 10 11 11 13 14 14 13 12 10 10 10 10 9 8 7 8 8 9 8 8 8 8 9 10 9 9 8 7 6 6 6 7 7 7 8 10 11 11 11 11 11 11 9 8 8 9 9 9 9 9 10 10 10 10 10 10 9 10 10 9 8 8 8 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 10 10 10 10 10 11 11 10 9 10 11 11 12 11 11 10 9 9 8 8 8 8 9 9 9 10 9 8 8 8 9 10 10 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 nan
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nan 12 13 13 13 13 14 14 15 15 15 14 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 7 8 8 6 4 -0 -3 -1 2 6 9 10 10 10 13 19 22 22 20 16 12 11 11 11 10 9 9 10 11 13 14 13 11 9 10 10 10 9 4 -1 -4 -3 -1 4 8 9 9 8 4 -2 -6 -7 -2 4 7 10 13 20 24 22 19 15 13 12 12 13 12 11 9 8 7 8 10 11 nan
nan 13 12 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 7 5 0 -3 -2 1 5 8 9 10 10 13 17 20 22 21 16 12 12 11 9 8 9 10 11 12 13 13 13 11 10 10 11 12 12 8 5 4 3 3 7 8 7 5 3 -3 -7 -8 -4 2 7 9 11 15 20 22 20 17 14 12 13 12 12 11 9 8 8 9 10 11 12 nan
nan 13 13 12 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 7 6 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 10 10 10 10 9 8 7 8 10 11 11 10 10 10 11 12 12 12 11 10 9 9 8 8 8 8 6 2 -2 -3 -1 3 7 9 9 10 12 15 19 22 21 16 14 12 9 7 7 9 11 12 12 11 11 11 10 11 11 12 13 13 12 11 10 7 6 6 5 2 -1 -4 -8 -9 -5 1 7 10 11 11 15 18 20 19 16 14 14 13 13 12 10 9 8 9 10 11 12 12 nan
nan 14 13 12 12 11 12 12 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 7 7 7 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 10 8 7 8 9 10 10 9 9 9 11 12 13 13 12 11 10 9 8 8 8 9 7 3 -1 -3 -2 2 6 9 9 10 11 14 18 22 22 17 14 11 8 6 8 11 12 11 10 9 9 9 10 11 12 12 12 12 12 13 12 9 8 7 4 2 -1 -4 -4 -1 3 8 10 11 11 11 13 15 16 17 16 15 15 14 13 11 10 9 9 9 10 11 11 11 nan
nan 13 13 13 13 14 14 14 13 12 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 10 10 10 11 11 10 9 8 8 9 10 9 9 8 9 10 12 13 13 12 11 10 9 9 9 9 10 8 4 0 -3 -3 1 6 8 9 10 10 13 17 21 20 17 13 10 8 8 9 10 10 10 9 9 10 10 11 11 11 11 10 10 11 12 12 11 10 9 7 4 3 3 5 7 9 11 11 10 10 10 10 11 13 15 16 17 16 15 12 11 10 9 9 10 10 10 9 9 nan
nan 13 13 14 15 15 15 14 13 12 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 12 12 11 10 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 13 13 12 11 11 10 10 10 10 10 9 5 1 -3 -4 1 5 7 9 10 10 11 14 17 18 16 13 11 9 9 9 9 10 11 11 11 12 11 11 10 10 10 10 10 11 12 12 12 12 10 7 5 6 7 8 9 10 10 10 9 9 8 9 10 12 16 19 19 17 14 12 11 10 9 8 8 7 6 6 9 nan
nan 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 12 11 11 10 10 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 10 11 12 12 11 10 9 9 9 10 10 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 11 11 11 11 11 10 7 2 -4 -4 0 4 7 9 9 9 10 12 15 17 17 16 14 11 10 9 10 11 13 13 13 12 11 10 9 10 10 10 11 11 11 11 11 10 8 4 3 5 6 7 9 9 9 8 8 8 9 10 11 13 17 20 20 18 15 13 11 8 6 3 0 -1 -1 3 9 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 10 9 9 8 8 9 9 9 10 9 9 9 10 10 11 11 10 10 9 9 9 10 10 11 11 10 10 9 9 9 9 10 10 10 9 9 9 10 10 11 11 12 12 12 11 11 11 12 12 11 11 11 10 7 2 -4 -5 -0 4 7 9 9 9 9 10 13 17 19 19 17 13 11 11 11 12 12 12 11 11 10 9 9 10 10 10 10 10 10 10 10 8 5 1 0 2 4 7 8 7 7 7 7 9 11 12 13 14 16 19 21 20 16 11 6 3 -1 -3 -6 -6 -1 8 14 nan
nan 12 12 12 11 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 11 12 12 12 12 13 13 12 10 8 6 6 5 1 -3 -3 0 4 8 9 8 8 8 8 12 18 21 21 17 13 11 11 11 10 9 9 9 8 9 9 10 11 10 10 10 10 9 9 9 7 3 -1 -2 0 3 6 6 6 6 7 9 11 12 13 13 13 15 19 22 22 16 8 0 -4 -4 -5 -4 0 9 19 21 nan
nan 13 13 13 12 11 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 11 11 11 12 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 9 9 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 11 13 13 13 13 14 14 13 10 4 -1 -1 0 1 0 1 3 5 7 8 8 8 7 8 11 17 19 19 14 10 8 8 7 6 7 8 8 8 9 10 11 11 10 10 10 10 9 9 8 6 2 -2 -2 -0 3 4 5 6 7 9 11 12 13 14 13 13 16 20 24 23 13 2 -5 -5 -2 0 4 9 18 24 25 nan
nan 12 13 13 12 12 11 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 9 10 9 9 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 8 9 10 11 12 12 12 11 11 11 10 9 8 8 9 10 10 10 11 11 11 11 11 10 10 10 10 10 11 12 13 14 14 14 14 14 13 11 5 -0 -2 -2 -1 3 7 8 7 5 5 6 7 7 8 10 13 14 13 10 7 5 3 3 7 10 10 9 9 10 11 12 11 10 10 10 10 9 9 8 5 1 -2 -3 -1 2 3 5 7 9 12 13 14 14 14 14 15 19 23 25 18 6 -2 -5 -1 4 7 9 13 19 23 25 nan
nan 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 10 10 10 9 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 11 12 11 11 11 11 11 10 9 8 8 9 10 10 11 11 11 12 12 11 11 10 10 10 10 11 12 13 13 13 12 13 13 13 13 10 5 1 -2 -3 3 11 12 9 4 3 4 6 8 8 9 9 9 9 9 6 4 3 6 12 15 14 12 12 13 13 13 11 11 11 11 10 9 9 8 6 1 -4 -4 -2 1 4 7 10 12 13 14 14 14 14 15 18 23 26 21 9 0 -3 -0 5 9 10 11 14 19 24 27 nan
nan 10 11 11 12 12 11 11 11 10 10 10 10 10 9 9 9 10 11 12 12 12 12 12 12 12 12 11 10 10 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 9 9 8 8 8 9 9 10 11 11 11 11 11 12 12 11 10 10 10 10 10 10 11 11 11 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 12 13 13 12 9 4 -1 -5 2 11 13 9 3 0 3 6 8 8 8 8 8 9 9 7 5 6 12 17 17 15 14 14 15 15 14 12 12 11 11 10 9 9 8 4 -2 -6 -5 -2 3 7 10 13 14 14 14 14 14 14 17 21 24 23 12 1 -2 0 5 9 10 11 12 16 22 28 30 nan
nan 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 12 12 12 12 12 13 12 12 11 10 10 10 10 9 9 8 7 7 8 9 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 12 12 12 11 10 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 10 10 9 10 10 11 11 12 12 10 7 2 -1 2 7 8 5 1 0 3 7 8 9 8 8 9 9 9 8 7 10 14 16 15 14 15 15 15 14 13 12 12 11 10 8 6 4 1 -4 -9 -9 -5 1 7 11 13 14 14 14 14 14 14 14 17 19 19 12 1 -2 -1 4 9 10 11 12 14 20 26 31 29 nan
nan 11 11 12 12 12 12 13 13 12 11 10 9 9 9 9 9 10 11 12 12 12 13 13 13 13 12 11 11 10 10 10 9 8 7 7 7 9 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 11 10 10 11 11 11 9 8 9 9 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 10 10 11 10 10 9 7 5 4 4 2 0 0 3 6 8 9 9 9 9 9 9 9 9 9 11 12 12 13 15 16 15 14 13 12 11 11 10 7 3 -1 -4 -7 -9 -9 -5 0 7 11 13 14 14 14 14 15 15 15 15 15 14 12 5 1 1 4 8 10 11 12 14 19 26 30 31 26 nan
nan 11 12 13 13 14 14 14 13 11 9 9 9 9 8 8 9 10 11 12 12 13 13 14 14 14 13 12 11 11 10 9 8 7 7 7 8 9 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 8 8 9 9 8 8 8 8 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 9 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 9 8 6 2 -1 -1 3 6 8 9 9 9 9 9 9 9 9 9 10 10 11 11 13 17 18 17 15 13 11 9 7 4 0 -4 -6 -7 -6 -3 0 4 8 12 13 14 14 14 14 16 18 20 20 18 15 13 10 7 6 7 9 10 11 12 15 20 27 31 32 28 20 nan
nan 12 13 13 14 14 14 13 12 10 9 8 8 8 8 8 8 9 10 11 12 13 14 14 15 14 14 13 12 11 10 9 8 7 6 7 8 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 11 12 12 12 12 12 12 11 11 9 9 9 9 9 10 9 9 9 9 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 7 4 0 2 6 8 9 10 11 11 10 9 9 9 9 10 10 11 10 11 15 19 20 18 15 11 6 2 -1 -3 -4 -5 -4 -1 3 6 9 11 12 13 14 15 15 16 18 22 25 26 23 19 16 13 10 8 8 9 10 11 13 16 22 28 32 31 27 20 13 nan
nan 12 13 13 14 14 13 12 11 10 9 8 7 7 7 7 8 9 10 11 12 13 14 14 14 14 14 13 12 11 10 9 7 6 6 7 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 8 8 8 9 9 9 10 10 10 11 11 12 11 11 10 10 10 9 9 9 9 9 9 10 10 9 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 9 6 6 9 11 12 12 13 14 12 11 9 9 10 10 11 11 11 11 12 15 17 17 16 13 7 1 -1 -2 -1 1 3 5 9 12 13 14 14 14 15 17 19 20 22 24 27 28 25 20 15 11 8 5 4 6 9 11 13 16 22 28 31 29 25 17 12 9 nan
nan 12 12 13 13 13 12 11 10 10 9 8 7 7 6 7 8 9 10 11 12 12 13 13 13 13 13 12 12 11 10 9 7 7 7 8 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 9 8 8 8 8 9 9 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 10 10 9 8 7 8 9 10 10 10 10 9 8 9 9 9 10 11 11 11 11 10 10 10 11 14 14 14 13 14 14 12 9 8 10 12 13 13 12 12 13 14 16 17 18 18 14 7 4 4 6 9 11 13 16 18 19 18 16 15 17 20 22 23 22 23 22 21 18 13 9 6 3 0 0 4 8 12 15 18 22 28 31 28 23 16 11 9 9 nan
nan 12 12 12 12 12 11 10 10 9 9 9 8 8 7 7 8 9 9 9 11 12 12 12 12 12 12 12 12 11 10 9 8 7 8 9 9 10 10 11 11 10 10 10 10 9 9 9 9 9 8 8 7 7 6 7 8 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 10 9 9 9 9 10 10 10 9 9 10 10 8 7 8 8 9 10 10 10 9 9 9 9 10 11 11 11 11 11 11 10 11 12 13 13 12 11 12 13 13 11 9 11 15 17 17 16 14 15 16 19 21 24 25 23 18 13 12 13 15 17 19 21 22 23 21 16 12 12 15 17 17 15 14 13 11 8 5 4 5 6 6 5 8 13 17 19 22 24 28 29 27 21 16 11 9 9 10 nan
nan 11 11 11 11 10 10 9 9 9 10 9 9 8 8 8 8 8 8 8 10 11 11 12 12 12 13 13 12 11 10 10 9 9 9 9 10 10 10 11 11 10 10 10 10 9 9 9 9 8 8 7 7 6 7 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 10 10 10 9 9 9 8 8 7 8 8 9 9 9 9 9 9 10 10 11 11 12 12 11 11 11 11 12 12 12 11 10 10 11 11 11 11 12 15 17 18 18 16 16 18 21 24 27 28 26 23 18 17 16 17 19 20 21 21 20 17 12 6 3 5 10 12 11 8 8 8 7 5 7 11 16 18 17 16 19 21 22 23 24 25 25 23 19 14 11 9 9 10 10 nan
nan 11 11 11 10 10 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 10 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 8 7 6 6 7 8 9 10 10 10 10 9 9 8 8 8 8 9 9 10 9 9 10 11 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 12 11 11 11 11 12 11 10 10 10 10 10 10 10 11 12 13 14 14 14 14 14 15 18 21 23 24 22 19 15 14 14 14 15 16 17 17 15 11 8 5 3 4 9 14 16 16 15 14 14 15 16 20 23 25 24 20 18 18 18 18 19 20 19 17 15 12 11 10 10 10 10 9 nan
nan 11 10 10 11 10 10 11 10 10 10 9 8 8 8 8 7 7 8 9 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 6 6 7 8 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 12 11 11 11 11 11 11 10 8 8 8 9 9 9 10 11 11 11 11 11 11 12 13 14 15 16 16 15 13 11 9 9 10 11 12 13 13 13 10 7 8 10 12 14 18 21 22 22 21 20 19 20 22 23 23 21 18 15 14 13 13 13 14 13 13 12 11 11 10 10 10 10 9 7 nan
nan 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 9 8 7 7 7 7 8 9 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 9 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 10 10 11 12 12 11 11 11 11 11 10 8 6 5 4 4 5 6 8 9 10 10 10 10 11 12 12 13 13 12 11 10 8 6 5 6 8 10 11 12 12 11 10 10 12 14 15 16 18 19 19 18 17 16 16 16 17 16 15 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 8 nan
nan 10 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 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 10 10 10 9 8 8 9 11 12 12 11 9 8 8 8 8 9 10 10 10 11 11 11 11 10 8 8 7 6 6 7 7 8 8 9 10 11 11 10 9 9 9 10 10 11 11 11 11 10 10 11 11 10 8 5 0 -2 -3 -3 -1 3 6 8 9 10 10 11 11 12 11 11 11 10 10 8 5 1 -1 3 7 12 14 14 12 11 11 11 11 12 12 12 13 13 13 12 12 11 11 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 10 10 10 nan
nan 11 13 13 13 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 8 7 7 8 9 9 9 8 8 8 8 9 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 12 13 13 13 11 9 8 8 8 8 9 9 10 10 11 11 10 8 6 4 3 2 3 6 7 9 10 10 11 12 11 11 10 9 9 10 10 11 10 10 10 10 10 10 9 7 4 -2 -7 -8 -7 -4 -0 3 6 8 8 9 9 10 10 8 7 7 7 8 8 5 0 -6 -4 3 11 18 19 16 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 10 10 11 nan
nan 13 13 13 13 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 6 7 9 9 9 8 8 8 9 9 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 11 11 12 13 14 13 11 9 7 6 7 8 8 8 9 10 9 7 5 3 2 1 1 4 6 8 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 7 6 2 -2 -8 -9 -6 -2 2 5 7 8 8 9 9 9 9 7 4 2 2 5 7 7 4 -3 -7 -1 8 18 25 23 18 13 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 nan
nan 13 13 13 13 12 12 12 12 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 9 9 9 8 8 8 9 9 9 9 9 9 10 10 9 8 8 8 8 9 10 10 10 11 11 10 10 11 12 14 13 10 6 4 5 6 6 7 9 10 9 7 4 2 1 2 5 8 9 10 10 9 7 6 6 7 9 9 9 9 9 9 9 8 7 7 6 4 2 -0 -3 -6 -7 -4 0 5 8 9 9 9 10 10 11 10 9 7 4 2 4 7 8 7 4 -1 1 8 17 25 29 25 19 14 11 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 13 13 12 12 12 12 12 12 12 12 12 11 10 9 9 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 10 9 9 8 8 9 9 10 10 10 11 11 10 9 9 10 12 13 11 8 5 4 4 5 7 10 10 9 7 4 1 2 5 9 10 11 11 11 9 7 5 5 6 8 8 8 9 11 11 9 6 4 3 2 -0 -2 -3 -3 -3 -1 3 7 9 9 10 10 10 11 11 11 11 11 9 8 8 9 10 10 9 7 7 12 19 25 29 28 23 18 13 11 10 10 10 10 10 10 10 10 10 10 10 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 nan
nan 12 12 12 11 11 11 11 12 12 12 11 11 10 9 8 8 9 10 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 12 12 11 10 10 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 11 11 10 9 9 8 10 11 11 9 7 6 6 7 8 9 9 9 7 5 4 6 8 10 11 11 12 11 10 9 9 8 8 8 9 9 11 12 11 8 5 4 3 3 3 3 2 3 4 6 7 8 9 9 10 10 11 11 11 12 12 12 11 11 11 12 12 12 11 11 13 18 23 28 28 23 19 14 12 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 20 95 266 512 617 782 1001 1201 1305 1281 1166 1062 987 880 712 504 308 143 49 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 22 105 315 674 794 926 1069 1196 1264 1227 1090 950 859 739 557 347 174 54 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 91 313 714 879 968 1008 1037 1064 1057 959 819 705 563 384 206 80 18 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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