Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 7 8 9 11 11 11 11 11 12 12 11 10 10 9 8 7 7 7 8 8 9 9 9 8 8 8 10 12 14 14 11 10 9 10 9 9 9 8 7 7 7 8 8 7 6 4 5 6 6 6 5 4 5 6 6 7 7 7 7 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 10 9 8 8 10 10 10 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 7 7 7 8 8 7 7 7 7 6 6 6 7 7 8 8 8 9 10 11 11 11 11 10 9 7 6 6 7 8 8 7 6 6 7 8 10 10 10 9 8 8 8 8 9 11 11 11 10 10 9 9 9 9 9 9 9 8 5 4 5 7 8 9 8 8 7 7 7 7 7 8 7 7 7 7 7 8 7 7 nan
nan 9 8 6 4 5 7 9 9 9 10 10 10 10 10 10 10 10 8 7 6 6 6 7 8 9 8 8 8 9 11 13 15 13 11 9 9 9 10 9 8 7 7 7 7 7 7 6 5 4 6 6 7 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 7 7 6 6 6 6 6 6 6 6 7 8 8 9 9 10 9 9 8 9 9 10 9 8 8 9 10 10 9 9 10 10 9 9 9 9 9 8 7 7 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 9 10 10 11 11 11 10 8 7 7 7 8 8 7 6 6 7 7 9 9 9 8 8 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 8 5 1 2 5 7 9 9 8 8 7 6 7 7 8 8 8 7 7 7 7 7 7 6 nan
nan 9 7 5 4 5 6 7 8 8 8 8 8 9 9 10 10 10 9 7 6 6 6 7 8 8 9 9 10 11 13 14 14 12 10 9 9 9 9 9 8 6 6 6 6 6 6 5 5 5 6 7 7 7 8 8 9 9 8 8 8 8 8 7 7 7 8 8 7 7 6 6 6 6 6 6 5 6 6 7 7 7 8 9 9 9 8 8 8 8 9 8 9 9 10 10 9 9 10 9 9 9 9 9 9 8 8 7 8 8 8 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 9 9 8 9 9 10 11 11 12 11 9 3 -0 1 5 8 10 9 8 7 7 6 7 8 9 8 7 7 8 8 8 7 6 6 nan
nan 8 7 6 5 5 6 6 7 7 7 8 8 8 9 9 10 9 9 8 7 7 7 8 8 9 10 11 12 13 14 14 11 9 9 9 9 9 9 9 8 6 5 6 6 6 6 6 6 6 7 7 8 8 9 10 10 10 10 10 9 9 8 8 7 8 8 8 8 7 7 7 6 7 7 7 6 6 7 7 7 7 7 8 9 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 7 6 6 6 7 7 8 8 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 8 7 6 7 8 8 9 10 10 10 10 9 9 8 7 8 8 10 11 12 12 12 11 7 2 1 3 7 10 10 9 7 7 7 7 8 9 8 7 7 8 8 9 9 7 6 7 nan
nan 8 8 7 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 9 8 8 9 9 10 11 12 13 14 13 12 9 9 9 10 9 9 8 8 7 6 6 6 6 6 6 7 8 8 8 8 8 8 9 11 11 11 11 11 11 10 9 9 9 9 9 8 8 8 8 7 7 8 8 7 7 7 7 7 6 7 7 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 7 7 8 10 11 9 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 10 10 11 10 10 10 11 11 10 9 7 7 7 7 8 8 9 11 11 11 10 9 8 7 8 8 9 10 11 11 11 8 5 2 2 6 10 13 11 8 6 5 6 7 8 8 7 6 7 8 9 9 9 8 7 7 nan
nan 8 8 7 6 6 6 7 8 8 8 8 7 7 6 6 7 9 10 11 10 9 9 9 9 10 11 13 13 13 12 11 10 10 11 11 10 9 8 7 6 6 7 7 6 6 7 8 9 10 9 9 9 9 10 11 12 12 11 11 11 11 11 11 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 9 8 7 7 8 9 9 9 8 8 9 10 10 9 9 8 8 9 9 9 9 9 8 8 8 8 7 7 8 10 11 10 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 10 11 10 10 10 10 10 10 9 8 7 7 7 8 8 8 9 10 11 11 10 9 9 9 9 8 9 9 9 8 5 2 2 4 10 14 15 12 8 5 4 5 6 7 7 6 7 8 9 9 9 9 9 8 8 nan
nan 7 7 7 6 6 7 8 9 9 9 8 7 6 5 4 6 9 11 11 10 9 8 8 9 10 11 13 12 11 10 11 12 12 11 10 10 9 8 7 6 7 7 6 6 7 8 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 7 7 7 7 7 7 7 6 6 6 7 6 6 6 7 8 7 6 7 8 9 9 9 8 9 9 10 10 10 9 8 9 9 9 9 9 9 8 8 8 8 7 7 8 9 10 10 9 8 7 6 5 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 8 8 7 7 8 8 7 8 10 11 11 11 11 10 9 8 8 8 8 6 3 2 3 8 14 17 16 12 8 5 5 6 6 6 6 7 7 7 8 8 9 9 9 9 8 nan
nan 6 6 6 7 7 8 9 9 9 8 7 6 4 4 4 7 9 11 10 9 8 8 8 8 9 10 11 11 10 10 10 11 11 10 9 9 9 8 7 6 6 5 6 7 8 11 12 12 10 9 9 9 9 8 8 9 9 9 10 10 10 10 9 8 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 9 9 9 8 8 8 9 9 10 9 9 8 9 9 9 9 9 9 9 8 8 8 7 8 8 9 10 10 9 8 7 7 6 6 6 6 7 7 7 7 7 7 8 9 9 7 6 7 7 8 8 8 9 9 9 9 8 7 7 7 8 7 7 9 10 11 11 11 11 9 8 7 7 7 6 4 4 7 12 16 17 14 10 7 7 7 8 8 8 7 7 7 6 6 7 8 9 9 8 7 nan
nan 6 6 6 7 8 9 9 9 8 7 6 5 4 5 7 9 10 11 10 8 7 7 7 7 7 9 10 10 10 10 10 10 10 10 9 9 9 8 7 5 4 4 6 8 11 12 12 10 8 7 7 6 5 5 5 6 6 7 7 7 7 6 6 5 5 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 5 4 5 7 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 9 8 7 7 7 6 6 7 7 7 6 6 7 8 8 8 7 6 6 6 6 7 7 8 10 10 9 8 7 7 9 9 7 7 7 8 9 9 10 11 10 8 7 7 7 7 6 7 9 12 14 13 10 8 7 8 9 10 10 9 8 7 6 6 6 7 8 8 8 7 6 nan
nan 8 7 7 7 8 8 9 8 7 6 5 5 6 7 9 10 10 10 9 8 7 6 6 6 7 8 9 9 10 11 11 10 10 10 10 10 9 8 7 6 6 6 7 9 11 12 10 8 7 6 5 5 5 5 6 6 6 6 5 5 4 3 3 3 3 4 4 4 5 5 5 5 6 6 7 7 7 7 7 6 6 5 5 6 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 7 8 8 7 7 7 7 8 8 7 7 7 7 7 6 6 8 10 10 10 9 8 9 10 10 9 7 6 6 6 7 8 8 8 8 7 7 7 7 6 7 9 11 10 9 7 7 8 10 10 9 9 9 8 7 6 7 7 7 8 8 7 6 6 nan
nan 10 9 8 8 9 9 9 8 8 7 6 6 7 9 9 9 9 9 9 8 6 5 5 6 7 8 9 10 12 12 12 11 10 10 10 10 9 9 8 8 9 10 10 10 10 9 8 6 6 6 6 6 7 8 8 7 6 5 5 4 3 3 3 3 3 4 4 4 4 5 5 6 6 6 7 7 7 6 6 6 6 5 6 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 7 7 7 8 9 9 9 10 11 11 11 10 8 5 4 4 5 5 6 6 7 7 6 6 6 6 8 9 9 9 8 7 8 10 11 10 9 9 9 7 6 6 7 8 8 7 7 6 6 6 nan
nan 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 5 5 5 7 8 10 11 12 13 13 12 11 10 10 10 10 10 9 8 9 10 11 10 9 9 8 7 6 5 6 7 7 8 9 9 8 7 5 5 4 4 4 4 4 4 4 4 4 4 5 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 7 7 8 9 10 10 9 9 9 9 9 10 10 9 7 6 6 7 8 9 10 11 11 10 9 7 5 4 4 5 5 6 7 7 7 7 6 6 6 7 8 9 9 8 8 8 9 10 9 9 9 8 7 6 7 8 8 7 7 6 6 6 6 nan
nan 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 7 5 5 6 8 10 12 12 13 13 12 11 10 10 9 10 10 9 9 8 8 9 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 5 5 5 4 4 4 5 6 8 10 10 9 8 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 8 8 9 9 9 8 9 9 8 8 7 7 6 6 6 8 9 10 10 10 9 9 8 9 10 10 9 7 5 5 6 7 8 9 10 10 10 9 7 6 6 7 8 8 8 7 7 7 7 7 6 5 5 6 7 8 8 7 7 8 8 8 8 8 7 7 7 8 9 8 7 6 6 6 7 8 nan
nan 9 9 9 10 10 9 9 9 8 8 8 8 7 6 6 6 7 8 8 6 5 6 7 9 11 12 11 11 12 11 10 10 9 10 10 10 9 8 7 7 9 9 8 8 8 8 8 8 8 6 6 6 6 7 7 6 5 4 4 4 5 6 6 6 6 6 7 7 9 11 11 10 9 8 7 7 7 7 7 8 8 7 6 5 6 7 7 8 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 9 9 8 6 5 5 6 7 8 8 9 9 9 8 7 7 8 10 10 10 9 8 7 7 8 8 6 4 3 3 5 6 7 7 7 7 6 6 6 6 6 7 8 9 9 8 6 5 6 7 8 9 nan
nan 7 8 8 9 9 9 9 8 8 8 8 7 7 6 5 6 7 7 7 6 6 7 9 11 12 11 10 10 11 11 10 10 10 10 10 10 8 7 7 8 9 9 9 9 9 9 9 9 7 6 5 6 7 8 8 6 5 4 5 5 6 6 7 8 8 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 8 8 8 8 9 9 10 9 8 7 6 6 6 7 7 7 7 7 7 7 8 10 10 10 10 10 9 8 7 5 5 6 7 7 7 7 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 8 6 4 4 5 6 6 7 7 6 5 4 4 5 6 7 8 8 8 7 6 6 7 8 9 10 nan
nan 8 8 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 9 10 11 11 10 9 9 10 10 10 10 9 9 9 8 7 7 7 9 10 10 10 9 9 9 9 8 7 6 7 7 8 9 8 6 5 5 6 6 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 8 8 8 8 8 9 9 9 8 7 6 6 6 7 7 8 7 7 7 7 9 11 11 11 11 10 10 9 8 6 6 6 7 6 6 7 7 7 7 7 7 8 9 10 10 10 11 12 12 13 12 12 11 10 9 8 7 7 7 7 6 5 5 5 5 6 6 7 7 7 6 6 6 7 8 9 10 10 nan
nan 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 9 8 9 9 9 10 10 10 9 9 8 7 7 8 9 10 10 9 8 8 7 8 8 8 8 8 9 9 10 8 6 5 5 6 6 7 9 9 10 11 11 10 9 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 8 8 8 9 9 9 9 8 7 6 7 7 8 7 7 7 7 7 8 9 10 10 9 9 9 10 10 9 8 8 8 7 6 6 7 7 7 7 7 7 8 8 9 9 9 10 11 12 13 13 12 12 12 12 10 8 7 7 6 5 5 6 7 7 7 6 6 6 5 5 5 6 8 9 9 9 9 nan
nan 10 9 8 7 7 7 7 8 8 8 8 8 8 7 7 8 9 10 11 11 10 9 9 9 8 8 8 9 9 10 10 11 11 11 10 9 9 9 9 9 9 8 8 8 7 7 7 7 9 10 10 10 10 10 8 6 6 6 7 7 9 10 10 10 10 9 9 8 7 8 8 8 8 8 8 8 7 8 8 9 8 7 8 8 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 6 6 7 8 8 8 7 7 6 7 7 8 8 7 7 7 8 9 10 10 10 10 9 7 6 7 7 8 8 8 7 7 7 7 8 8 8 9 10 11 11 11 11 11 12 11 10 8 7 6 5 5 6 7 8 8 7 5 5 5 5 5 6 7 8 9 9 8 8 nan
nan 11 10 9 8 8 8 8 8 8 8 8 9 8 8 8 8 10 11 11 11 10 9 9 9 9 9 10 10 10 11 11 12 12 11 10 9 9 9 9 9 8 7 7 7 7 7 7 8 10 11 12 11 10 9 8 7 8 8 8 9 10 10 10 9 9 8 8 7 8 8 8 8 8 8 8 7 7 7 8 8 7 6 6 6 6 6 6 5 5 5 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 7 7 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 10 11 10 9 7 6 7 7 8 8 8 8 7 7 7 7 7 8 9 10 10 10 10 10 11 11 10 9 8 7 6 6 6 7 8 8 7 6 5 5 5 6 6 7 7 8 8 8 8 8 nan
nan 11 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 9 10 11 10 10 10 10 11 11 11 11 11 11 12 12 12 11 10 9 8 8 7 6 5 5 6 7 7 7 7 8 10 11 11 10 8 8 8 9 9 10 10 10 10 11 10 10 8 8 7 8 8 8 8 7 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 8 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 9 9 7 7 6 6 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 8 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 6 5 5 5 6 7 7 7 7 7 7 7 8 8 nan
nan 10 10 10 10 10 10 10 10 11 11 12 11 11 10 8 7 7 8 10 11 11 11 11 12 12 11 11 10 10 10 11 12 12 10 9 8 7 6 5 4 4 5 6 8 8 9 9 9 10 10 9 8 7 7 8 10 11 12 12 11 12 11 10 9 8 8 8 8 8 7 7 7 7 8 8 7 7 7 6 7 6 6 6 7 6 6 6 6 6 6 5 5 5 5 6 6 7 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 8 7 7 8 8 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 nan
nan 9 10 10 9 9 10 11 11 12 13 13 12 11 10 8 6 6 9 11 11 11 11 11 11 11 11 10 9 9 10 11 11 11 10 8 7 6 5 4 4 5 6 7 9 10 11 11 10 8 7 7 7 7 8 10 12 12 12 12 12 11 9 8 8 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 6 7 8 9 9 9 9 9 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 8 8 7 8 8 8 nan
nan 9 9 9 8 8 9 10 11 12 13 13 13 11 10 7 5 6 9 11 11 11 11 11 11 10 10 9 9 8 9 10 10 10 10 9 7 5 4 4 5 6 7 8 9 11 12 11 10 8 7 6 7 8 9 12 13 12 12 12 11 9 8 7 6 6 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 6 7 8 9 9 9 8 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 11 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 9 8 8 7 7 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 7 8 8 9 10 11 12 12 12 10 9 6 5 6 9 11 11 10 10 10 10 9 9 9 8 8 8 9 9 10 10 9 7 5 5 5 5 6 7 7 9 10 11 11 10 8 7 7 7 9 11 13 13 13 12 11 9 8 7 6 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 7 6 5 6 7 8 9 9 9 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 9 9 9 10 10 11 11 11 10 9 9 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 9 9 9 9 9 8 8 7 7 7 8 9 9 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 7 7 7 8 9 9 10 10 10 9 8 7 5 5 6 9 10 10 9 9 8 8 9 9 8 8 8 8 8 9 10 10 9 7 6 5 5 5 6 7 7 8 9 10 10 9 8 7 8 9 10 11 12 12 12 11 10 9 7 6 6 7 9 10 10 10 9 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 6 8 9 9 9 8 8 8 9 9 8 8 7 7 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 7 7 7 8 9 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 9 8 8 8 8 8 8 7 8 8 8 7 7 6 5 5 7 8 9 9 8 8 7 7 8 8 8 8 8 8 9 10 10 10 9 8 6 5 5 5 6 6 7 8 8 9 10 9 8 8 9 10 10 11 11 10 10 10 9 8 7 6 7 8 10 11 11 10 9 9 9 8 8 7 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 6 8 8 9 9 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 8 7 7 8 9 11 12 12 11 9 8 8 8 9 9 8 7 7 8 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 nan
nan 9 9 9 9 9 8 7 6 6 6 6 6 6 6 5 6 7 8 9 9 8 7 7 7 7 8 8 8 9 9 10 10 10 10 9 8 7 5 4 4 5 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 8 7 7 8 8 9 10 11 11 9 9 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 6 6 5 6 7 8 8 8 7 6 6 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 10 10 10 9 9 9 10 10 9 8 8 8 9 10 11 12 12 10 7 6 6 8 9 10 9 8 7 7 8 9 10 10 9 9 9 8 8 8 8 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 nan
nan 10 9 9 9 9 8 7 7 7 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 9 7 5 4 4 5 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 9 10 10 10 10 9 8 8 8 8 8 7 6 6 6 6 7 8 8 8 7 7 7 7 6 7 7 7 7 7 6 6 6 6 5 5 5 5 7 8 8 8 7 6 6 6 6 7 6 6 6 6 6 7 7 8 8 8 9 9 9 10 9 9 8 9 9 10 9 9 9 9 10 11 12 11 11 9 7 6 6 8 9 10 10 9 7 7 7 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 nan
nan 10 10 10 9 9 8 8 7 7 6 6 7 7 7 8 8 8 8 7 7 6 6 7 7 7 8 9 9 10 10 11 11 10 10 10 9 7 6 5 5 6 7 8 8 9 9 10 10 9 9 9 8 8 8 8 9 9 9 9 10 11 11 11 9 8 7 6 7 9 9 8 7 7 7 7 8 8 9 8 8 8 8 8 7 7 7 8 8 8 8 7 6 5 4 4 4 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 11 12 12 11 10 10 10 9 8 8 9 9 9 9 9 8 7 7 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 8 8 9 8 8 8 8 8 8 9 10 10 10 10 10 11 nan
nan 11 11 10 10 9 8 8 7 7 7 7 7 7 8 8 9 8 8 7 6 5 6 6 7 7 8 9 9 10 11 12 12 12 11 10 9 8 6 5 5 6 7 8 9 9 10 10 10 9 8 8 8 8 8 8 9 10 10 10 11 11 10 9 7 6 5 5 8 9 8 8 7 7 7 8 9 10 10 10 10 10 9 9 8 8 8 9 9 9 8 8 7 5 4 4 4 6 7 8 9 9 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 10 9 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 8 8 8 9 9 9 8 8 8 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 8 9 10 10 10 10 10 10 nan
nan 12 11 11 10 9 9 8 7 7 7 7 8 8 9 9 9 9 8 6 5 5 5 6 7 7 8 9 9 10 12 12 12 12 11 10 10 8 6 5 5 6 7 8 9 10 10 10 10 9 8 8 8 7 8 9 10 10 10 10 10 9 8 8 7 6 5 7 8 9 9 8 7 7 8 9 10 11 11 12 11 10 10 9 9 9 9 9 9 9 9 9 8 6 5 5 6 7 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 8 9 10 10 9 9 9 9 10 9 9 9 9 9 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 10 10 10 9 nan
nan 12 11 11 10 9 9 8 7 7 7 8 8 9 9 9 10 9 8 7 5 5 5 6 7 8 8 8 9 10 11 12 11 11 11 11 10 8 6 5 5 5 6 8 9 10 10 10 9 9 8 8 7 7 8 9 9 9 9 9 9 8 9 9 8 8 8 8 9 9 9 8 7 8 9 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 11 11 11 10 9 8 8 8 9 10 10 9 8 7 9 10 10 10 10 10 10 9 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 9 9 nan
nan 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 10 9 9 7 6 6 6 6 8 8 7 7 8 10 11 10 10 10 11 11 10 8 6 5 5 6 8 9 10 10 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 10 11 11 10 9 9 9 9 8 8 9 10 11 11 11 10 10 9 9 9 9 8 8 8 8 9 10 10 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 9 9 9 8 8 8 9 10 10 10 8 8 10 11 11 11 11 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 10 9 8 8 nan
nan 11 11 10 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 8 7 6 6 7 8 8 7 7 8 9 10 10 9 10 10 10 9 8 7 6 7 8 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 8 9 10 11 12 11 11 10 9 9 8 9 10 11 12 11 10 9 8 7 7 7 8 8 7 7 8 9 10 10 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 11 11 10 9 8 8 9 10 9 9 9 9 10 10 10 10 11 11 10 10 11 12 12 11 10 10 10 9 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 8 7 7 nan
nan 10 10 9 8 7 7 7 7 8 8 9 10 10 9 9 9 9 9 8 7 6 6 7 7 7 8 8 9 10 10 10 9 9 9 9 9 8 8 7 8 9 10 11 11 10 10 9 9 8 8 8 9 8 8 7 8 8 8 8 9 9 10 11 11 11 12 11 10 10 9 9 10 10 11 10 10 9 8 7 7 7 7 7 7 8 9 10 10 9 9 9 10 10 10 9 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 10 11 11 9 7 7 8 10 11 10 10 9 9 9 11 11 11 10 10 9 9 11 12 12 11 11 11 10 9 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 8 7 7 7 nan
nan 10 10 9 8 8 7 7 7 7 8 9 10 10 10 10 10 10 9 8 7 6 7 7 7 8 8 8 9 10 11 10 9 9 9 10 9 9 8 8 8 9 10 10 11 10 10 9 9 9 9 9 9 8 7 7 7 7 8 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 9 10 10 10 9 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 10 9 9 8 8 9 10 11 10 8 7 7 8 10 10 10 9 9 9 9 11 12 11 10 9 8 8 10 12 12 12 12 12 11 9 8 7 7 8 8 8 9 9 9 8 8 7 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 8 7 7 7 nan
nan 10 10 10 9 9 9 9 8 8 8 8 9 9 10 11 11 10 9 8 7 7 7 7 7 7 7 8 9 11 11 11 10 10 10 10 10 8 7 8 8 9 9 10 9 9 9 9 9 9 10 9 9 8 7 7 7 7 8 9 10 10 10 11 10 10 11 11 11 11 10 9 8 7 7 8 8 9 9 8 8 8 8 9 10 10 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 10 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 9 8 8 8 9 10 10 9 9 9 9 9 10 11 11 10 9 8 8 10 11 12 12 13 13 11 10 8 7 7 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 7 nan
nan 10 11 10 10 10 10 9 9 8 8 8 8 9 11 11 10 9 9 8 8 8 7 7 7 6 7 8 10 11 12 12 12 12 12 12 10 8 7 7 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 11 10 10 9 8 7 7 7 7 8 9 10 9 8 8 8 9 10 10 9 9 8 8 8 8 8 9 9 9 9 8 9 9 9 9 10 10 9 9 8 8 9 9 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 9 8 9 10 11 10 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 10 12 13 12 11 9 7 7 7 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 10 9 9 8 8 8 nan
nan 10 10 10 10 11 10 9 9 9 8 8 8 9 10 10 9 8 8 9 9 9 8 7 6 6 7 8 10 11 12 12 13 13 13 12 10 8 8 8 7 7 6 6 7 7 8 8 9 9 9 9 8 8 8 7 6 7 7 8 8 8 9 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 10 10 9 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 10 11 12 11 11 10 9 9 8 7 8 9 9 9 9 10 9 9 9 10 11 12 11 10 8 6 6 7 8 8 9 9 8 8 7 8 8 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 8 8 8 9 9 nan
nan 10 10 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 9 10 11 12 12 12 12 13 12 11 9 9 8 7 6 6 7 7 8 8 9 9 9 9 8 8 9 8 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 10 10 11 10 9 8 8 7 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 9 8 9 10 11 11 11 12 11 10 9 8 7 8 8 9 9 10 10 9 9 9 10 11 11 10 9 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 8 8 8 9 9 9 nan
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nan 12 13 13 13 13 14 15 15 14 14 13 13 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 9 8 7 8 8 9 9 10 10 10 10 10 9 10 10 10 10 11 11 11 10 9 9 8 8 8 8 9 9 7 4 1 -2 -2 -0 3 7 9 10 11 15 22 25 24 22 16 12 11 11 11 10 10 10 11 11 12 12 12 10 9 10 10 10 9 3 -3 -4 -3 -0 5 9 9 10 9 4 -2 -6 -6 -1 5 8 10 14 22 27 26 23 19 16 15 14 14 13 12 11 10 9 9 10 11 nan
nan 12 12 12 12 12 13 14 13 12 12 12 12 13 13 12 11 10 10 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 9 10 11 10 9 9 9 9 10 10 10 10 10 11 11 11 10 9 9 9 9 9 8 8 8 6 2 -1 -2 -1 2 6 8 10 10 14 20 23 25 23 16 11 11 11 10 10 10 10 10 11 12 12 12 11 11 11 12 12 12 7 4 4 3 5 8 9 8 6 3 -2 -7 -8 -4 2 7 9 11 16 22 25 24 22 18 15 14 13 12 11 10 10 10 9 10 11 12 nan
nan 13 12 11 11 11 12 12 12 11 11 11 11 12 12 11 11 10 9 9 9 9 10 10 11 11 11 11 10 10 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 10 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 10 11 11 10 9 8 8 9 10 10 9 9 10 11 12 12 11 10 9 9 9 8 8 8 8 7 3 -1 -2 -2 1 5 8 10 10 13 17 22 25 22 16 13 11 10 9 9 9 10 10 10 11 11 11 12 13 13 13 13 13 12 11 10 7 7 8 6 4 1 -3 -8 -9 -5 1 6 9 11 12 17 22 24 23 20 16 14 13 12 11 10 10 10 9 9 10 11 11 nan
nan 13 13 13 12 12 12 12 11 11 10 10 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 7 7 9 10 11 11 11 10 10 10 10 10 9 9 9 10 11 11 10 9 8 8 9 9 9 9 8 9 11 12 13 12 11 10 9 8 8 8 9 9 8 4 -0 -2 -2 0 5 8 9 10 11 15 20 24 23 17 14 11 10 9 9 9 10 10 10 10 10 11 12 13 12 12 12 12 12 13 11 8 8 7 5 3 -0 -3 -4 -2 2 6 9 11 11 13 16 19 20 21 18 16 14 13 12 12 11 10 9 8 8 9 9 10 nan
nan 14 14 14 14 13 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 9 9 9 10 11 12 11 10 8 8 8 9 9 9 8 9 10 12 13 13 12 10 9 9 9 9 10 10 8 5 1 -2 -3 -0 4 7 9 10 10 13 18 22 21 17 14 11 9 9 9 9 9 10 11 10 10 10 11 11 11 11 11 10 11 12 11 9 9 8 6 4 2 2 3 5 8 10 11 11 11 12 14 15 16 18 18 17 16 14 13 12 10 8 7 7 7 8 8 9 nan
nan 13 14 14 15 14 14 13 12 11 10 10 9 9 9 9 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 9 9 9 9 9 8 8 8 8 7 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 10 11 11 10 9 8 8 9 9 9 9 10 11 12 13 12 11 10 9 10 10 11 11 11 10 7 3 -2 -4 -1 3 6 9 10 10 12 16 19 19 17 14 11 10 9 9 9 9 11 12 11 11 10 10 10 10 10 9 9 10 11 11 11 10 8 5 3 4 5 6 8 9 11 11 11 11 12 12 13 14 17 19 19 17 15 13 11 9 6 5 5 4 4 6 9 nan
nan 12 13 13 13 13 13 12 12 11 10 10 9 10 10 10 11 11 10 9 9 9 9 10 11 12 12 12 11 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 12 12 11 10 9 9 8 8 8 9 10 11 10 10 9 9 10 10 10 9 9 9 9 9 9 10 10 11 12 13 12 11 10 10 10 11 11 11 12 11 8 4 -3 -5 -2 2 6 9 10 10 11 13 16 18 18 16 14 12 11 10 9 11 12 12 12 11 11 10 10 10 10 9 9 10 11 11 11 10 6 2 1 3 5 7 9 10 11 11 11 12 12 12 12 14 16 19 20 18 15 12 9 6 3 0 -2 -3 -1 4 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 9 9 9 11 11 12 12 11 11 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 9 10 10 10 10 9 9 8 8 7 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 11 12 12 12 11 10 9 9 8 8 8 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 12 13 12 10 10 10 11 11 11 11 11 11 8 3 -3 -5 -2 2 6 9 10 10 10 11 14 18 21 20 18 14 11 10 10 12 12 11 11 10 10 10 10 10 10 10 10 10 11 10 10 8 4 -1 -1 1 4 7 9 10 11 11 11 12 12 12 12 12 14 18 20 19 15 10 4 0 -3 -6 -8 -7 -1 9 15 nan
nan 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 8 8 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 12 12 12 12 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 11 10 10 10 10 10 10 11 12 12 11 11 11 12 13 12 11 9 7 6 4 1 -3 -4 -1 3 7 9 10 9 9 9 13 18 22 22 18 13 10 10 10 10 9 9 9 9 9 10 11 11 10 10 10 10 10 9 9 6 2 -2 -3 -0 4 8 9 10 10 11 11 12 12 12 12 12 14 18 21 21 15 6 -2 -5 -6 -6 -4 -0 10 20 22 nan
nan 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 11 10 10 9 10 9 9 9 9 10 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 11 12 12 13 14 14 14 13 11 6 1 -1 -1 -1 -1 0 2 5 7 8 9 9 8 8 12 17 20 19 15 10 8 7 7 7 8 8 8 8 9 11 12 11 10 9 9 9 9 9 7 5 0 -3 -2 1 5 8 9 9 10 11 12 12 12 12 12 12 15 19 23 22 12 1 -6 -6 -3 -0 4 9 19 24 25 nan
nan 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 13 14 14 14 14 13 12 7 2 -1 -2 -2 1 6 8 7 6 6 7 8 8 9 11 14 15 14 11 7 5 3 4 7 10 10 9 10 11 12 12 11 10 10 10 9 8 8 6 4 1 -2 -1 2 5 7 8 9 10 11 12 12 12 12 12 13 17 22 24 17 5 -3 -6 -2 4 7 9 13 19 23 24 nan
nan 9 10 11 12 13 12 11 11 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 11 11 11 12 12 11 11 11 10 10 10 11 11 12 12 13 13 13 13 13 13 13 10 6 2 -1 -3 2 10 12 9 5 3 4 7 8 9 9 10 10 10 9 7 4 3 7 13 15 14 12 12 13 14 12 11 10 10 10 9 8 8 8 7 2 -2 -1 2 4 7 8 10 11 12 12 13 12 12 13 17 21 25 20 8 -0 -4 -1 5 8 10 11 14 18 23 27 nan
nan 8 10 11 12 14 13 13 12 11 10 10 9 9 8 8 8 9 9 9 10 11 12 12 12 12 11 10 9 9 9 9 9 8 8 8 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 11 11 12 12 12 11 10 9 9 9 10 11 11 12 12 11 11 11 10 10 10 10 11 11 12 12 11 12 12 12 13 13 12 9 5 0 -3 2 10 12 8 2 -0 3 6 8 8 8 8 8 9 9 7 6 7 14 19 18 15 14 14 15 15 13 11 11 10 10 9 9 9 9 6 -0 -4 -3 1 5 8 10 12 12 13 13 12 12 12 15 19 23 22 11 0 -3 -0 5 9 10 11 12 15 22 28 30 nan
nan 10 10 11 13 14 14 13 12 11 10 10 9 8 8 8 8 8 9 10 11 12 13 14 13 13 11 10 9 9 9 9 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 9 9 9 10 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 11 11 12 12 11 10 8 4 1 3 7 7 4 -1 -1 3 6 8 8 8 8 9 9 9 9 8 11 16 18 16 15 14 15 15 14 13 11 11 10 9 8 7 5 3 -2 -7 -7 -4 2 7 10 12 13 13 13 13 13 12 13 15 17 18 11 1 -3 -1 4 9 10 11 11 14 19 26 31 29 nan
nan 11 12 12 14 14 14 13 12 11 10 9 8 8 8 7 8 9 10 11 12 13 14 14 13 12 11 10 9 9 9 8 8 8 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 10 10 10 9 7 6 4 1 -1 -2 1 5 7 8 8 8 9 9 10 10 10 10 13 14 14 14 15 16 15 14 13 12 11 10 9 8 5 1 -3 -5 -8 -8 -4 1 7 11 12 13 13 13 13 13 14 14 14 14 13 11 5 1 1 4 8 10 11 12 14 19 25 30 31 26 nan
nan 11 12 13 13 14 13 13 12 10 9 8 8 8 8 8 9 10 11 12 12 13 13 13 12 12 11 10 9 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 11 10 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 7 2 -2 -3 1 4 6 8 8 9 9 9 10 10 10 10 11 12 11 12 14 17 18 16 15 13 11 9 6 4 2 -2 -5 -6 -6 -3 0 4 8 12 13 13 14 14 14 15 17 19 19 17 15 13 10 6 6 7 9 10 10 12 15 20 27 31 32 28 21 nan
nan 11 11 12 13 13 13 12 11 10 9 8 8 8 8 8 9 10 11 11 11 12 13 13 12 11 11 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 8 9 9 10 10 10 10 10 10 9 9 10 10 10 9 9 8 8 8 8 9 10 10 11 11 11 10 8 4 -0 1 5 7 8 9 10 10 10 9 9 10 10 11 11 11 11 11 15 19 19 18 15 12 7 2 -0 -2 -3 -3 -3 -1 3 6 9 11 12 13 14 14 15 16 18 21 24 26 23 19 16 13 10 8 8 8 9 10 12 16 21 28 32 31 27 20 14 nan
nan 10 11 11 12 13 13 12 12 11 10 9 9 9 9 8 9 9 9 9 10 11 13 12 12 11 11 11 12 11 11 10 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 9 9 9 10 11 12 12 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 11 11 10 7 6 8 10 11 11 12 13 12 10 8 9 10 11 12 11 11 11 12 15 17 18 17 15 8 2 -1 -1 1 2 4 5 8 11 13 13 13 14 15 17 19 20 22 24 26 27 25 20 15 10 7 4 4 6 9 10 12 16 22 28 31 29 25 18 12 9 nan
nan 9 10 11 12 13 13 13 13 12 11 10 10 9 7 7 8 8 9 9 9 12 13 12 11 11 12 12 13 12 11 10 9 8 8 8 9 9 10 10 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 9 8 9 10 10 10 11 10 10 10 10 10 10 10 9 10 10 11 10 9 9 8 9 9 9 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 13 13 13 13 14 13 11 8 8 11 13 14 13 12 12 12 14 16 18 19 20 16 9 6 6 8 11 12 13 15 17 18 18 16 15 17 20 22 22 22 23 22 20 18 13 9 5 3 -0 -1 3 8 12 14 17 22 28 31 28 23 16 11 9 9 nan
nan 10 11 12 13 13 13 12 12 11 10 10 9 8 6 6 7 7 7 7 9 12 12 12 11 11 12 13 14 13 12 10 9 8 8 8 9 10 10 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 11 11 10 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 11 9 8 10 15 17 17 15 14 14 16 19 22 25 26 26 21 16 15 15 16 18 19 20 21 21 20 16 12 12 16 18 18 15 14 13 11 7 4 4 5 5 5 5 8 12 16 19 21 24 27 29 27 21 16 11 9 9 10 nan
nan 11 12 12 13 12 11 10 10 10 10 10 9 8 7 7 7 6 6 7 10 11 11 11 11 11 12 13 13 13 12 10 9 8 8 9 9 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 8 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 10 10 11 14 17 18 17 16 15 18 21 24 28 29 29 26 21 19 18 18 18 19 19 19 19 16 11 6 3 6 10 12 11 9 8 7 6 5 6 11 15 17 16 16 18 20 21 22 24 24 25 23 19 15 11 10 10 10 11 nan
nan 12 12 12 11 10 10 9 9 9 10 10 9 8 7 7 6 6 7 9 10 11 11 10 11 11 12 12 12 12 11 10 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 8 9 10 10 11 10 10 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 11 12 12 11 11 11 11 11 11 12 11 11 10 9 9 9 10 10 10 10 11 12 13 14 14 14 14 15 18 21 23 25 23 21 18 16 15 15 15 15 16 16 14 10 7 5 3 4 9 13 16 16 14 14 14 14 16 19 22 24 23 20 18 18 18 18 19 19 18 17 15 13 11 11 11 11 10 9 nan
nan 12 11 11 10 10 10 10 10 10 10 9 8 8 7 6 6 6 8 10 11 11 10 10 11 11 11 12 12 11 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 9 8 9 9 9 9 8 9 10 10 11 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 12 11 11 10 8 7 8 8 9 9 10 10 10 11 11 11 11 12 13 14 15 16 17 17 15 13 11 11 11 11 11 12 13 13 9 7 8 9 12 14 17 20 21 21 20 19 19 20 21 22 22 20 17 14 14 13 13 13 13 13 12 12 12 11 11 11 10 10 9 7 nan
nan 11 10 10 10 10 11 11 10 10 9 9 8 8 7 6 6 7 8 10 10 10 10 10 11 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 8 8 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 8 6 4 4 4 5 6 8 9 9 10 10 11 12 12 13 13 13 14 14 12 11 8 6 7 8 9 11 12 12 12 10 10 12 14 15 16 17 18 18 18 17 16 15 16 16 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 7 nan
nan 9 10 11 11 11 11 11 11 10 9 9 8 8 7 6 7 8 9 10 10 10 11 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 10 10 11 10 9 9 8 8 9 9 9 9 9 8 8 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 8 9 9 11 12 12 12 11 9 9 8 9 9 10 10 10 10 11 11 11 11 10 8 8 7 6 6 7 8 9 10 10 10 10 10 10 10 9 10 10 11 11 12 12 12 11 11 11 10 9 8 4 -0 -3 -4 -4 -1 3 6 8 9 10 11 11 12 12 12 12 12 12 11 9 6 1 -0 3 8 12 14 14 13 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 nan
nan 9 11 11 12 12 12 12 11 10 10 9 9 8 8 8 8 9 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 9 10 11 12 12 12 10 10 9 9 8 8 9 9 9 10 11 11 9 7 5 3 2 2 3 6 8 10 11 11 11 11 11 11 10 10 10 10 11 11 12 11 11 10 10 9 9 7 3 -4 -8 -9 -8 -5 -1 4 7 8 9 10 10 10 10 8 8 8 9 10 9 6 -0 -6 -3 4 12 19 20 16 13 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 10 nan
nan 11 11 12 13 13 13 12 12 11 11 10 9 9 9 9 10 10 10 10 11 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 11 9 7 5 5 5 5 6 8 9 8 7 4 2 0 -1 0 4 7 9 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 7 5 1 -4 -9 -11 -8 -3 2 5 7 8 9 9 10 10 9 8 4 2 3 6 8 7 4 -4 -6 0 10 20 26 24 17 13 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 10 10 nan
nan 11 12 13 13 13 13 13 12 12 11 10 10 9 9 9 9 9 10 10 12 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 10 10 10 11 11 12 12 11 11 10 10 10 11 12 11 10 7 4 3 3 2 2 5 7 7 6 3 1 -0 1 4 7 10 11 12 10 8 7 7 8 9 10 9 9 10 11 11 9 7 5 4 3 1 -1 -4 -7 -9 -6 -1 5 8 9 9 9 10 11 11 11 10 8 5 4 5 8 9 8 5 -0 1 9 18 26 29 24 18 13 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 9 10 10 10 10 10 10 10 11 nan
nan 11 12 13 13 13 13 12 12 12 11 11 10 10 9 9 9 9 9 10 12 12 11 11 9 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 11 12 11 9 7 6 5 4 5 7 7 7 5 2 -0 1 4 8 11 12 12 12 10 8 7 6 8 9 9 10 11 12 12 10 6 3 1 -0 -1 -2 -3 -4 -4 -2 2 6 9 10 10 10 10 11 11 12 12 12 11 10 9 10 11 11 10 8 8 12 19 25 29 27 22 17 13 11 10 10 10 10 10 11 11 11 10 10 9 8 8 8 9 9 10 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 11 12 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 10 11 12 11 10 9 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 11 11 11 10 9 9 9 9 9 8 7 5 3 3 5 8 10 11 12 12 12 11 10 9 9 9 10 10 11 13 14 12 9 5 2 1 1 2 2 2 2 3 5 7 8 9 10 10 11 11 11 12 12 13 13 12 12 12 12 12 12 12 11 13 18 23 28 27 22 17 14 11 10 10 10 10 11 11 11 11 10 10 9 9 8 8 9 9 10 10 11 11 11 10 10 10 11 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 0 0 0 1 6 37 174 412 642 742 696 619 557 476 380 305 244 156 72 26 9 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
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