Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 8 7 7 7 8 8 9 11 13 14 13 12 10 9 9 8 8 9 10 11 9 8 7 6 6 6 6 6 7 7 9 10 11 12 12 13 14 15 14 13 12 11 11 11 11 10 10 10 10 10 9 9 8 7 7 8 9 8 8 8 7 7 6 6 7 7 7 7 7 6 6 6 6 5 6 6 7 8 9 8 8 7 7 8 8 8 7 7 8 8 7 8 10 12 11 9 8 7 7 7 7 6 5 8 10 10 8 7 7 6 5 5 5 6 7 8 8 8 8 9 9 9 10 12 11 10 9 9 11 12 10 8 8 7 8 8 9 10 11 10 10 9 8 8 8 8 9 9 10 11 12 11 11 12 12 12 13 13 11 9 9 10 10 10 9 8 8 7 6 5 6 6 6 4 3 4 6 9 11 12 nan
nan 8 8 8 8 7 7 7 7 7 7 8 8 9 10 11 11 10 8 7 7 7 7 8 10 11 11 10 10 10 10 10 10 9 8 8 9 10 11 11 11 11 11 11 11 11 10 9 8 9 9 10 10 10 11 11 10 10 9 9 9 9 9 8 8 7 7 7 6 6 7 7 7 7 6 5 4 4 3 3 4 5 6 8 8 8 8 7 7 7 8 8 8 8 9 8 7 7 9 11 10 9 9 9 8 7 6 5 5 7 9 9 8 7 6 5 5 5 6 7 7 7 7 7 7 8 8 10 12 13 12 10 9 10 11 11 9 8 7 8 8 8 8 9 10 10 9 9 9 9 9 9 10 10 11 11 11 10 10 11 12 13 14 13 11 11 12 12 10 9 8 7 7 6 6 6 7 8 7 5 4 5 7 9 10 10 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 7 6 6 6 7 8 9 11 11 11 11 11 12 12 12 10 9 9 9 9 9 10 10 9 8 8 8 9 8 6 6 7 8 9 11 12 12 11 11 10 10 10 10 9 9 8 7 7 7 7 7 7 7 8 8 8 6 5 3 3 3 3 2 3 5 6 7 7 7 7 7 7 7 7 7 8 9 9 8 7 8 9 9 9 10 10 10 8 6 5 5 7 8 9 9 7 6 5 5 6 6 7 7 7 7 7 7 8 8 10 12 12 11 10 9 9 10 10 9 8 7 8 8 7 7 9 9 10 9 9 9 10 10 10 10 10 10 10 10 9 10 11 13 14 14 12 11 11 12 11 9 7 7 7 7 7 7 8 9 9 7 6 6 7 9 9 9 9 nan
nan 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 7 7 7 6 5 6 7 9 10 11 11 11 11 11 12 12 12 10 8 8 9 9 9 9 9 9 9 8 8 8 8 7 6 7 9 10 11 11 11 11 11 11 11 11 10 9 9 8 7 7 6 7 7 7 7 8 8 8 7 6 4 4 5 4 3 3 3 5 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 10 11 10 8 7 6 6 6 7 9 10 8 7 6 6 6 7 7 7 7 7 7 8 8 8 9 10 10 10 10 9 9 9 9 9 8 7 8 8 7 7 9 10 10 10 9 9 10 10 9 9 9 9 9 9 9 10 12 13 14 12 10 9 9 9 8 7 6 6 7 7 8 9 10 9 7 6 6 8 9 9 9 9 9 nan
nan 6 6 6 6 6 6 6 7 7 7 7 6 5 5 5 5 6 6 5 5 5 5 7 8 9 10 10 10 10 10 11 12 11 9 9 9 10 10 10 10 12 12 11 10 9 8 8 9 10 11 11 11 10 10 12 12 11 11 10 9 9 9 9 8 7 7 7 7 8 8 7 7 6 7 6 5 5 5 5 5 4 4 4 4 5 6 7 7 7 7 7 8 8 9 9 8 7 7 7 7 8 10 11 10 9 9 8 6 5 6 9 11 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 9 8 7 8 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 12 12 11 9 7 7 7 7 6 5 5 6 6 7 8 9 9 7 6 7 8 9 10 9 9 9 10 nan
nan 6 6 6 6 6 6 6 6 7 7 6 6 5 5 4 5 5 6 6 5 3 2 2 3 4 6 7 8 8 8 9 10 10 9 9 9 10 10 11 12 13 14 12 10 9 9 10 11 12 12 12 12 11 11 12 11 10 9 8 8 8 9 9 9 8 8 8 8 8 7 6 5 5 5 5 5 4 4 4 4 4 5 4 4 5 6 7 7 7 7 7 8 9 9 9 8 7 7 7 7 8 9 10 10 10 10 8 7 5 6 8 11 11 11 10 9 8 7 6 6 7 8 8 8 8 8 8 9 10 11 11 11 10 10 10 9 9 9 9 9 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 7 5 5 5 6 6 6 7 7 7 6 6 6 7 8 8 8 9 10 10 9 10 10 11 12 nan
nan 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 6 4 2 0 0 1 3 5 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 9 9 10 12 13 12 11 11 11 11 11 10 8 7 7 6 6 6 6 7 7 7 7 7 6 5 5 4 4 4 4 4 4 3 3 2 2 3 4 4 4 5 6 7 7 7 7 7 8 8 9 9 8 7 7 7 8 8 9 10 10 10 9 8 7 6 7 9 11 12 12 11 10 8 6 5 6 7 8 8 8 8 8 9 10 11 11 10 9 10 11 11 10 9 8 8 8 9 9 9 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 6 5 4 4 5 7 8 9 10 10 9 8 7 7 8 9 10 10 9 8 7 8 11 13 13 12 nan
nan 6 6 6 5 5 5 5 5 5 5 5 6 6 7 8 9 10 10 10 10 8 6 5 4 4 5 6 7 8 8 7 7 7 7 7 7 6 6 6 5 4 5 6 7 9 11 13 13 11 9 7 7 6 5 4 3 3 3 4 3 3 3 3 4 4 4 4 3 3 3 4 4 5 5 5 4 4 3 3 2 3 3 3 3 5 6 7 7 7 7 7 7 8 8 9 8 8 7 7 8 8 8 9 10 9 8 8 7 7 8 9 11 12 12 11 9 8 7 6 6 6 7 8 8 8 8 8 10 11 10 8 8 11 13 12 10 8 7 7 8 9 8 7 7 8 9 10 10 10 10 10 10 10 9 9 9 8 7 6 5 4 5 6 7 9 10 11 11 11 11 10 10 11 11 11 11 9 7 5 6 10 13 14 13 11 nan
nan 6 6 5 5 5 5 4 4 4 4 5 5 6 7 9 10 11 11 11 11 10 10 9 8 8 8 8 9 10 10 9 9 9 9 9 8 8 7 5 4 3 3 4 5 7 9 10 9 8 6 5 3 2 1 1 1 2 2 2 2 2 1 1 2 3 3 3 3 3 4 5 5 5 6 6 6 6 5 4 4 4 4 3 3 4 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 10 11 12 12 11 9 8 8 7 5 5 6 8 8 7 7 8 10 11 10 8 8 11 13 12 10 7 6 8 10 10 8 7 6 9 10 10 10 9 9 9 9 9 9 9 8 7 6 5 5 5 6 8 9 9 9 9 10 10 11 11 12 13 13 12 10 7 5 6 9 12 13 11 9 8 nan
nan 6 5 5 4 4 4 4 4 4 4 4 5 5 7 8 8 9 9 8 8 9 9 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 10 10 9 8 7 6 6 5 5 6 7 7 6 5 4 4 4 4 5 5 4 4 3 3 3 3 3 4 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 5 4 3 4 5 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 10 9 8 8 6 4 4 6 8 8 8 8 9 10 11 10 8 8 10 11 11 10 8 8 10 11 10 9 7 8 10 11 10 9 8 8 9 9 9 9 9 8 7 6 5 5 5 7 9 10 9 8 7 7 8 10 11 11 12 12 11 8 6 6 8 12 12 9 6 5 6 nan
nan 6 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 6 8 9 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 8 7 7 8 8 8 8 8 8 8 9 10 11 10 8 7 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 8 7 7 7 6 6 5 3 3 3 4 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 12 12 11 10 9 9 8 7 6 5 5 6 8 8 9 9 9 10 11 11 9 7 7 9 10 10 9 10 11 10 9 8 8 9 10 10 9 8 8 10 11 10 9 9 8 7 6 6 5 5 7 9 10 10 9 7 7 7 9 10 10 10 11 11 9 7 5 7 10 12 10 6 5 6 6 nan
nan 6 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 4 6 8 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 12 12 11 11 10 10 9 8 9 9 9 10 12 13 14 13 11 10 9 10 9 8 7 7 7 7 8 8 8 9 9 9 8 8 7 7 6 6 4 3 2 2 3 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 12 12 11 9 8 8 8 6 5 5 6 8 8 8 9 10 10 11 11 10 8 6 7 9 10 10 11 12 10 9 8 9 9 9 9 9 9 9 10 12 11 10 9 8 7 6 6 6 5 6 7 9 10 9 9 8 8 8 10 10 10 11 11 10 9 7 6 9 11 11 10 8 8 9 8 nan
nan 6 5 5 5 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 4 5 7 9 10 11 11 11 12 12 12 11 10 10 10 10 10 10 10 9 8 9 10 11 12 12 11 11 11 10 9 8 8 8 9 11 13 14 15 14 13 13 12 11 9 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 6 4 3 2 3 4 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 12 11 10 8 7 6 6 6 7 9 10 9 8 9 10 10 10 10 8 7 7 8 9 9 10 13 12 10 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 6 6 5 5 5 6 7 8 8 8 8 8 9 10 10 10 10 10 10 9 8 8 10 12 12 11 10 11 12 12 nan
nan 6 6 5 5 5 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 4 6 7 9 10 11 11 11 11 11 12 11 11 11 10 10 9 9 9 9 8 8 9 10 11 11 11 11 12 11 10 9 8 8 9 9 10 12 13 13 12 11 10 10 9 9 8 9 9 9 8 7 6 6 7 7 7 7 7 7 8 8 7 5 3 2 3 4 5 6 6 6 7 7 7 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 10 11 11 11 9 7 6 5 6 9 11 11 8 7 8 9 9 8 7 6 7 9 10 10 8 9 13 12 10 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 6 8 8 8 8 9 9 9 9 9 10 9 9 8 9 11 12 12 11 11 12 13 13 nan
nan 6 6 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 6 7 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 10 9 8 8 8 8 8 8 8 7 6 6 7 8 8 8 7 6 5 5 5 6 6 7 7 7 7 7 7 9 9 8 7 5 3 3 3 4 5 5 6 6 7 7 7 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 10 12 12 10 7 5 5 6 9 11 10 8 7 7 7 7 7 7 8 10 12 12 11 8 9 12 12 11 10 10 10 9 9 9 9 8 8 8 9 10 10 10 10 11 11 10 10 10 9 8 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 9 11 12 12 10 10 11 12 12 nan
nan 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 5 6 7 8 8 8 9 9 9 9 8 8 8 8 9 9 8 8 9 9 10 10 10 10 10 10 10 10 12 13 13 12 11 10 9 7 6 4 4 5 6 6 6 6 7 7 6 4 3 3 4 5 6 6 7 7 7 6 6 7 8 9 9 9 7 5 4 3 4 4 5 5 6 6 7 7 7 8 8 8 8 9 9 9 9 8 8 9 9 9 9 11 13 12 10 7 5 4 6 8 9 8 8 7 7 6 7 9 10 11 12 13 12 11 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 10 12 12 12 13 13 13 12 11 11 11 10 9 9 8 8 7 7 7 7 7 7 8 9 10 10 10 9 9 10 10 10 nan
nan 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 13 14 14 13 12 10 7 5 4 5 6 7 8 7 7 7 6 5 4 4 5 6 6 7 7 6 6 6 6 6 6 6 7 8 9 8 6 5 4 4 4 4 5 5 5 6 7 7 7 8 8 8 8 9 9 9 9 8 8 8 9 10 11 13 12 10 7 4 4 5 7 8 8 8 8 7 8 9 10 11 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 7 7 8 10 11 12 13 13 12 13 13 13 13 12 10 9 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 nan
nan 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 7 7 7 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 9 10 10 10 11 11 12 12 12 12 10 8 7 7 7 7 8 9 8 8 7 6 5 6 6 7 7 7 7 8 7 7 6 6 6 6 7 6 6 7 7 7 6 4 4 4 4 4 4 5 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 9 10 12 13 11 8 6 4 4 5 7 8 8 8 8 8 9 10 10 9 8 7 7 9 11 11 10 8 7 8 10 11 10 9 8 8 8 8 8 8 8 8 7 7 8 10 11 11 11 11 11 11 12 13 13 12 10 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 nan
nan 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 11 11 10 8 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 7 7 6 6 7 7 7 5 4 4 4 4 4 4 5 6 7 7 8 8 8 9 9 9 9 9 9 8 8 9 10 12 13 10 6 5 4 4 6 7 8 8 8 8 8 9 9 9 9 8 7 8 9 11 12 11 9 7 8 11 11 10 9 9 9 9 9 9 9 9 8 8 8 10 12 12 11 10 10 10 11 11 11 11 11 9 8 7 7 8 8 7 6 5 5 6 7 8 8 9 9 9 8 8 8 nan
nan 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 11 12 13 12 12 12 12 11 11 10 9 9 8 8 7 7 8 8 9 9 8 7 6 7 8 8 8 7 7 7 7 7 7 6 5 5 4 4 4 4 5 6 7 8 8 8 9 9 9 9 9 9 8 8 9 10 12 12 9 5 4 5 6 7 8 8 8 8 8 8 9 9 9 9 9 9 8 9 11 12 12 9 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 10 10 10 10 9 8 9 9 11 10 7 4 3 3 5 7 8 8 8 8 8 8 8 8 nan
nan 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 9 10 10 10 10 10 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 7 7 6 5 5 4 3 4 5 6 8 8 9 9 9 9 9 9 9 8 8 9 10 12 11 7 5 5 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 10 12 11 9 8 7 8 8 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 9 9 10 12 13 12 8 6 5 6 8 9 8 7 7 7 7 8 8 7 nan
nan 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 8 9 10 10 9 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 10 10 9 8 8 8 9 10 10 11 11 11 11 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 5 3 3 4 6 7 8 9 9 9 9 8 9 9 8 8 9 10 11 10 7 6 7 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 10 10 8 6 6 7 7 6 7 8 10 10 8 7 8 9 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 9 9 10 11 11 10 9 9 10 11 12 10 7 6 6 7 8 8 7 7 nan
nan 5 5 5 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 6 6 7 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 11 10 9 9 9 9 9 10 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 4 3 3 5 7 8 9 9 8 8 8 9 9 8 8 8 9 9 8 8 8 9 8 7 7 7 8 8 8 8 9 9 9 9 10 11 11 9 8 8 9 8 7 7 7 8 7 7 8 10 12 11 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 8 6 6 8 9 9 8 7 7 nan
nan 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 7 8 9 8 8 7 7 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 8 7 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 6 4 3 2 4 7 9 10 9 8 7 7 8 9 9 8 8 8 8 8 8 9 9 8 7 7 7 8 8 8 9 9 9 9 10 11 12 11 8 6 7 8 8 8 8 9 10 9 9 9 10 12 11 9 9 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 8 7 7 9 11 12 10 8 7 7 nan
nan 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 7 8 8 8 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 5 3 2 4 7 9 10 10 8 7 7 8 9 9 8 8 7 7 7 8 8 8 8 7 7 8 8 9 9 9 9 9 9 10 11 12 9 6 5 6 8 9 9 10 11 11 11 9 8 9 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 9 9 9 9 8 8 8 8 9 10 11 11 9 8 7 8 nan
nan 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 6 8 9 8 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 7 6 6 5 6 6 7 8 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 5 3 2 4 6 9 10 10 9 7 7 8 10 10 9 8 6 6 7 7 8 8 8 8 8 8 8 9 10 10 9 9 9 9 10 9 7 6 6 8 9 9 8 10 12 11 9 6 6 8 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 8 8 8 8 nan
nan 6 6 6 6 6 5 6 6 6 6 5 5 5 5 5 5 5 5 6 7 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 6 5 5 5 6 8 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 7 7 7 7 6 3 2 3 6 9 11 10 9 7 6 7 9 10 10 8 6 5 6 7 7 8 8 8 8 8 8 9 10 10 9 8 9 9 8 8 7 8 9 10 10 8 7 9 10 9 6 4 5 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 nan
nan 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 7 9 10 9 7 7 7 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 7 6 6 7 7 6 6 6 7 8 9 9 9 8 8 7 7 8 8 9 9 8 8 8 8 7 7 7 7 7 6 4 3 3 5 9 10 10 8 7 6 6 7 9 9 8 6 5 6 7 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 9 11 12 10 7 6 7 8 8 6 6 7 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 6 6 7 7 7 6 6 6 6 5 5 5 5 5 6 6 5 6 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 6 5 4 5 7 7 7 7 7 7 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 6 4 3 4 6 8 8 8 8 8 7 7 7 7 8 8 7 6 7 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 7 8 10 11 12 12 9 5 5 7 9 9 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 nan
nan 6 7 7 8 8 7 6 5 5 5 5 5 5 6 6 6 6 7 8 9 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 4 5 6 7 7 6 6 7 8 8 9 10 10 10 9 9 9 10 10 9 9 8 8 8 7 7 7 7 6 5 4 4 6 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 10 8 8 9 11 12 12 9 6 4 5 8 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 nan
nan 6 7 9 10 9 8 6 6 6 6 5 5 6 6 6 6 6 7 8 9 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 7 8 8 8 8 7 7 6 6 7 7 7 6 5 6 6 7 7 9 10 10 10 9 10 10 10 10 9 9 8 8 8 7 7 6 5 4 4 5 7 8 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 12 13 12 9 8 9 10 10 9 6 4 4 6 8 10 9 7 7 8 9 8 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 nan
nan 6 8 10 11 10 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 6 6 6 6 6 6 7 8 9 10 9 9 9 9 10 10 9 9 8 8 8 7 5 4 3 4 6 7 8 8 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 9 10 12 13 12 9 7 7 7 8 7 5 5 6 7 8 8 7 7 8 9 10 9 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 nan
nan 7 9 11 11 9 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 8 8 8 8 7 6 6 7 7 8 9 9 8 8 8 9 10 9 9 8 8 8 7 5 3 4 5 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 9 10 12 13 12 8 5 5 5 7 8 7 6 7 7 8 9 10 11 11 11 11 10 8 8 8 9 8 8 9 11 11 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 nan
nan 8 10 11 11 9 7 7 7 7 7 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 7 7 7 8 8 8 10 11 11 11 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 6 4 4 5 6 7 7 7 7 7 8 8 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 9 12 13 11 7 4 4 6 8 9 8 7 7 8 9 10 12 13 13 12 11 10 8 8 8 8 8 9 10 12 12 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 nan
nan 8 11 11 10 9 7 7 7 7 6 6 6 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 9 10 9 6 5 5 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 7 8 10 13 13 10 6 4 5 7 9 9 8 8 9 10 10 11 12 12 11 11 10 8 7 8 8 9 9 9 11 12 12 11 10 9 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 nan
nan 9 12 12 10 8 7 7 7 7 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 8 9 9 8 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 7 7 8 8 8 8 8 8 8 9 12 14 12 8 5 5 7 9 10 8 7 7 9 10 11 11 11 10 10 9 8 7 7 9 10 10 9 10 11 12 12 11 10 9 9 9 9 10 10 10 9 9 9 9 9 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 nan
nan 11 14 13 11 9 8 7 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 9 9 10 10 9 9 8 8 7 7 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 13 14 10 6 5 7 9 9 8 7 6 7 9 11 12 12 11 10 10 9 8 8 9 11 11 9 8 9 10 11 11 10 9 9 9 9 9 10 10 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 nan
nan 11 14 14 11 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 5 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 10 9 8 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 12 14 13 9 6 7 9 10 9 7 6 7 9 10 12 12 10 9 9 9 7 7 8 10 10 8 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 nan
nan 9 13 13 11 10 9 8 7 7 7 7 7 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 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 14 12 9 8 9 11 11 9 7 7 8 9 10 10 8 7 7 7 6 5 6 9 10 8 6 4 5 6 6 8 9 9 9 9 8 8 8 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 nan
nan 6 8 10 10 10 10 8 7 7 7 8 8 7 7 6 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 8 8 8 8 9 8 8 7 7 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 9 10 12 13 11 9 9 11 12 11 8 6 7 7 8 8 7 6 6 7 6 5 5 8 10 10 8 5 5 5 6 7 8 10 10 9 8 8 8 8 9 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 10 10 nan
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nan 11 9 8 7 7 8 9 10 11 13 13 13 12 11 10 9 8 8 7 7 6 6 7 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 12 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 8 7 6 7 8 8 8 8 8 8 10 13 16 18 20 18 14 10 8 7 7 8 10 12 14 13 12 11 10 11 13 12 11 8 7 7 8 8 9 10 10 9 8 6 2 -1 -2 0 4 7 8 10 14 19 21 20 17 14 13 12 12 11 10 9 8 8 8 9 9 9 nan
nan 10 9 8 8 8 9 10 11 12 13 13 12 11 10 10 9 8 8 7 6 6 6 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 7 7 7 7 7 7 7 7 7 9 12 16 20 21 17 13 11 10 9 8 9 10 12 14 13 11 10 11 14 15 14 11 9 9 10 11 10 10 11 9 7 4 1 -2 -3 -1 3 6 8 10 11 15 19 20 19 15 13 12 12 12 11 10 9 9 9 9 9 9 9 nan
nan 11 10 10 10 10 10 11 12 12 12 11 11 10 9 9 8 8 7 7 6 6 7 7 8 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 13 12 11 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 9 8 7 6 6 7 7 7 7 7 8 11 16 21 21 16 13 11 10 9 8 9 9 11 13 12 11 11 13 15 14 12 10 9 10 11 11 11 12 12 10 8 4 2 1 2 4 7 9 10 11 12 14 16 16 15 13 12 12 13 12 11 10 10 9 9 10 9 9 9 nan
nan 11 11 11 11 11 11 12 12 12 11 10 9 9 8 8 8 7 7 6 7 7 7 8 8 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 11 12 13 13 12 10 9 9 10 11 11 10 9 8 10 11 11 11 11 11 11 11 11 11 12 12 11 11 10 8 7 6 5 6 6 6 7 7 8 10 15 19 18 15 12 10 10 9 9 8 9 11 13 13 12 12 13 13 12 10 9 10 11 12 13 14 15 14 12 9 7 6 6 7 8 9 10 11 11 11 11 11 11 12 13 14 14 13 12 12 11 11 10 10 10 9 8 9 nan
nan 11 11 11 12 12 12 12 11 11 10 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 11 9 7 8 9 10 11 10 8 8 8 10 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 7 5 5 5 6 6 7 7 8 10 12 15 15 13 11 10 9 9 8 9 10 13 15 14 13 12 12 11 10 9 10 11 13 14 15 16 15 13 10 7 7 7 8 8 9 10 11 10 10 9 8 8 10 13 16 17 16 13 12 12 12 11 10 9 7 5 5 8 nan
nan 10 10 10 11 11 11 11 10 9 9 8 8 8 7 7 7 7 8 9 9 9 8 9 9 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 11 12 11 9 6 5 7 8 10 10 9 8 8 9 11 12 12 12 12 12 11 11 11 12 12 12 12 11 10 9 7 5 4 5 5 6 7 8 8 9 10 12 14 14 13 11 9 8 9 10 12 14 14 13 13 12 12 11 10 10 11 13 13 14 14 13 11 9 5 3 5 6 7 9 10 11 10 10 9 8 7 8 10 13 17 18 16 14 13 12 11 9 5 2 -1 -1 2 9 nan
nan 10 10 10 10 10 10 10 9 8 8 8 8 8 7 7 7 8 10 10 9 8 8 8 9 10 9 8 8 7 7 7 7 7 7 7 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 10 10 10 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 11 10 7 6 7 8 9 10 10 10 10 10 10 12 13 13 12 12 12 11 11 12 12 12 12 12 11 10 8 6 4 4 4 6 7 8 8 8 8 8 11 14 16 16 14 11 10 11 12 13 12 11 11 11 12 11 11 11 11 11 11 11 10 10 9 8 5 1 0 2 5 8 10 11 10 9 8 7 7 8 9 10 13 17 19 19 17 13 10 6 2 -2 -6 -7 -3 7 13 nan
nan 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 8 10 10 10 9 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 10 10 12 13 12 11 9 7 8 9 10 10 10 10 11 11 11 11 12 13 13 12 11 11 11 12 12 12 11 11 11 9 8 7 6 5 4 5 7 8 9 9 8 8 7 10 15 18 19 15 12 11 12 12 10 8 8 9 10 10 10 11 11 10 10 9 9 9 8 8 6 3 -0 -1 1 5 9 11 10 8 7 6 7 8 9 10 11 14 18 22 23 19 12 5 -0 -3 -5 -5 -2 8 18 20 nan
nan 11 11 10 10 9 9 8 8 7 6 6 6 6 7 8 9 10 11 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 11 9 7 7 9 9 10 10 10 11 11 11 11 11 12 12 11 11 11 12 13 14 13 12 11 10 9 7 6 5 6 6 6 7 8 9 9 8 8 7 7 10 15 17 17 13 9 9 9 7 6 6 8 9 9 9 10 10 10 10 9 9 9 8 7 7 5 3 -0 -1 3 7 10 9 8 6 6 6 8 9 11 12 13 16 21 25 25 17 6 -1 -4 -3 -1 3 9 18 24 25 nan
nan 11 11 10 9 9 8 8 7 6 6 6 6 7 8 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 10 9 9 9 9 8 8 9 9 9 10 10 10 10 10 11 11 11 10 8 7 7 9 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 15 16 15 13 11 10 9 9 9 8 7 6 6 8 10 10 9 8 7 7 7 7 10 12 13 12 8 5 4 3 2 5 9 10 9 9 10 10 11 10 9 9 9 8 6 6 6 5 3 1 1 4 7 7 6 5 5 6 8 10 11 12 13 15 20 25 28 21 10 -0 -4 -2 3 7 9 13 19 23 25 nan
nan 10 10 9 9 8 8 7 6 6 6 7 8 9 9 9 8 8 9 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 10 9 9 10 11 12 11 11 11 11 11 11 11 11 11 11 12 13 15 16 16 15 13 11 9 8 9 10 11 10 8 5 7 10 13 12 9 6 5 6 7 8 9 9 9 8 6 4 2 1 4 10 14 14 12 12 12 13 12 11 10 10 9 7 6 8 9 9 6 1 1 2 4 4 4 5 7 8 10 12 13 13 15 20 25 29 25 13 2 -3 -2 4 9 11 12 14 19 24 28 nan
nan 9 9 9 8 8 7 7 7 6 7 8 9 9 9 9 8 8 8 9 10 10 10 9 9 8 8 8 8 8 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 12 11 11 11 12 13 14 13 12 11 11 12 13 13 12 11 11 11 12 13 15 15 14 12 11 9 9 8 9 11 11 10 7 5 7 13 14 12 6 2 3 5 7 9 9 9 8 8 8 6 4 4 11 16 17 16 14 15 16 15 14 13 11 10 9 7 8 9 10 9 3 -2 -2 -0 2 4 5 7 9 11 12 13 14 14 18 23 27 26 15 3 -2 -1 5 10 11 12 13 17 23 29 32 nan
nan 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 11 10 11 13 15 15 13 12 11 12 14 15 14 12 11 11 12 13 14 15 14 13 12 11 10 9 9 10 11 12 11 9 7 10 12 12 8 2 0 3 6 8 9 10 10 10 10 9 8 7 9 14 16 15 14 15 16 16 14 13 12 11 10 8 7 6 5 4 0 -6 -7 -5 -1 3 6 8 9 11 12 13 14 14 16 19 21 21 14 3 -2 -2 4 10 12 12 13 15 21 28 33 33 nan
nan 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 11 10 10 12 13 15 14 11 11 11 13 14 14 13 11 11 12 13 14 15 15 14 13 11 10 9 9 9 10 11 12 12 10 10 11 10 8 4 1 3 6 8 10 10 10 10 10 10 9 9 9 12 13 13 13 14 15 15 13 12 10 10 9 8 6 3 1 -2 -4 -7 -8 -6 -2 3 7 8 10 11 13 14 15 17 17 18 18 17 14 6 1 1 4 9 12 12 13 15 21 28 34 34 29 nan
nan 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 8 8 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 13 14 14 12 11 10 10 11 12 11 10 10 11 12 12 13 12 12 11 10 9 9 8 8 9 10 10 11 10 10 11 10 8 5 3 5 8 10 10 10 11 11 10 9 9 9 9 10 11 11 11 13 17 18 16 13 11 9 7 5 2 -0 -3 -4 -5 -4 -2 -0 3 5 7 9 10 11 13 14 17 20 23 23 21 19 16 12 8 7 8 10 12 13 14 17 23 30 35 35 31 23 nan
nan 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 13 14 14 13 13 13 14 14 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 7 5 6 10 12 13 13 13 12 11 9 8 8 9 10 11 11 11 11 15 19 19 17 14 9 4 -0 -3 -5 -4 -3 -1 2 5 7 8 8 8 8 10 12 15 17 20 24 28 29 27 23 19 16 12 10 9 10 12 12 14 18 24 31 34 34 29 22 16 nan
nan 9 8 8 8 8 8 9 9 9 10 10 10 9 8 8 7 7 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 13 15 15 14 13 13 13 14 13 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 8 8 11 13 15 15 15 15 13 11 8 8 9 11 12 12 12 11 12 14 16 16 14 12 5 -1 -3 -3 -0 4 8 11 13 14 13 11 9 9 12 16 19 22 24 27 29 30 28 23 17 13 9 6 5 7 10 13 14 18 24 31 33 31 26 20 14 12 nan
nan 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 8 8 9 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 13 13 12 11 11 12 14 14 13 11 10 10 11 11 11 10 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 13 14 14 14 15 14 12 8 7 10 14 16 16 14 13 13 13 14 16 17 17 14 8 5 7 12 17 20 21 21 20 18 15 12 12 14 19 22 24 24 24 24 23 20 15 11 7 4 1 0 4 9 14 17 20 24 30 32 29 24 18 13 12 12 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 14 14 13 12 12 13 13 12 11 10 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 10 8 11 17 20 21 19 16 15 16 18 21 24 26 26 22 19 20 23 28 31 28 25 22 20 17 13 10 10 14 17 18 16 15 14 12 9 6 5 6 7 7 6 9 14 18 21 23 26 29 31 27 22 17 13 12 12 12 nan
nan 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 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 10 10 11 11 10 10 10 10 10 11 11 12 13 13 13 12 11 11 11 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 10 10 11 15 20 22 21 18 17 17 20 24 27 29 29 28 25 26 27 30 31 27 22 18 14 12 9 4 2 5 9 12 11 9 8 8 8 6 8 12 16 18 17 17 19 21 23 24 25 26 26 23 19 16 13 12 11 12 11 nan
nan 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 9 8 8 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 10 10 11 12 11 10 10 10 11 11 10 10 11 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 15 16 16 15 14 14 16 19 21 22 22 21 20 21 22 23 22 19 15 11 8 7 6 5 4 5 9 14 16 16 15 15 16 16 17 20 23 25 23 19 18 18 18 18 19 19 19 18 15 13 12 12 11 11 11 9 nan
nan 10 10 10 10 10 10 9 9 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 12 12 10 10 10 12 12 11 10 10 11 12 12 12 11 11 11 11 10 9 9 9 9 9 9 9 9 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 10 10 10 10 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 10 11 12 13 14 15 15 15 15 16 16 14 12 9 7 5 5 6 9 11 13 16 18 21 22 22 21 21 20 20 22 23 22 20 17 14 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 8 nan
nan 11 10 10 10 10 10 9 9 9 9 9 9 10 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 11 11 12 12 12 10 8 9 10 11 11 9 8 9 11 12 13 13 12 11 11 10 10 9 9 9 9 8 8 7 7 8 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 8 7 6 4 3 2 4 6 7 9 9 9 10 9 9 10 10 10 11 11 11 12 11 11 10 9 8 7 6 7 7 9 11 13 15 17 18 19 19 20 19 17 16 15 16 16 16 15 13 12 11 11 11 11 11 10 10 10 11 11 12 11 11 11 11 10 9 nan
nan 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 10 10 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 8 7 8 9 9 9 7 7 8 10 12 13 13 11 10 9 9 9 9 9 9 9 8 7 7 8 9 9 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 7 5 1 -3 -5 -7 -6 -2 1 4 6 7 8 8 9 9 9 9 9 10 10 10 9 4 1 2 4 7 9 9 10 11 12 12 13 13 13 13 13 14 13 12 12 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 12 11 11 11 11 12 11 11 nan
nan 12 12 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 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 10 10 10 11 11 11 10 9 8 8 8 8 9 8 7 8 9 12 13 13 12 10 9 8 8 8 9 9 9 9 8 8 8 9 9 7 5 4 3 3 4 6 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 7 3 -3 -8 -11 -11 -10 -6 -2 1 3 4 4 5 6 6 5 3 3 4 7 8 7 2 -6 -8 -2 5 13 17 15 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 12 12 12 11 11 11 12 12 11 12 nan
nan 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 9 10 10 11 11 10 11 12 14 14 13 11 9 9 9 10 10 9 9 8 7 7 7 8 8 7 5 2 -0 -1 1 3 4 5 6 7 7 7 8 9 9 10 10 10 10 9 10 9 9 9 8 7 5 1 -5 -11 -13 -11 -7 -2 2 4 5 5 4 4 4 3 1 -2 -5 -5 -1 3 4 2 -6 -13 -8 2 14 24 24 19 15 13 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 13 12 11 10 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 13 13 12 12 11 10 10 10 10 11 12 13 13 13 13 13 14 13 11 10 10 11 12 13 13 11 9 7 5 5 6 6 6 5 3 1 0 1 3 5 6 5 4 4 3 4 5 7 8 9 9 9 9 9 8 7 6 4 2 -0 -3 -7 -11 -12 -10 -4 2 6 8 8 8 8 8 8 6 5 1 -2 -4 -3 2 4 4 0 -7 -6 3 14 26 31 27 21 15 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 11 10 10 11 11 11 11 11 11 11 11 nan
nan 12 12 12 11 10 10 10 11 11 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 10 11 12 13 13 13 12 11 11 11 10 10 10 10 11 12 13 12 12 12 12 11 11 10 10 11 13 15 15 14 13 12 11 9 7 6 5 4 2 1 1 3 6 8 9 9 9 7 5 3 2 4 5 6 7 9 10 10 8 6 3 1 -2 -4 -6 -8 -8 -8 -5 -0 4 8 9 9 9 9 10 10 10 9 8 6 5 5 7 9 9 7 4 3 9 18 27 34 32 26 19 14 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 12 12 11 11 10 10 10 10 11 11 11 11 12 12 12 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 10 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 12 13 13 13 14 15 16 16 14 11 8 5 3 3 4 6 9 10 11 12 11 10 9 8 7 7 7 7 8 9 10 9 8 5 3 1 -0 -1 -2 -1 -0 1 4 6 8 8 9 9 9 10 10 10 11 10 10 10 11 11 12 12 12 11 10 12 18 25 32 32 26 20 15 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 12 11 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 4 7 6 4 1 0 1 6 17 36 52 64 70 73 72 66 58 50 45 38 27 15 9 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 1 1 2 4 7 11 16 22 27 32 33 32 29 24 19 15 11 8 7 6 4 3 2 2 3
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