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 9 8 8 8 8 9 9 9 8 8 9 10 11 10 10 9 7 5 4 4 5 6 6 6 6 7 6 7 7 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 7 7 7 7 7 6 5 5 5 6 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 9 9 8 8 8 9 9 9 8 8 8 8 8 9 10 9 9 9 9 8 8 8 7 7 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 11 11 12 12 11 9 7 6 8 10 11 12 11 9 8 7 4 2 1 2 4 7 8 9 9 9 8 8 9 9 8 7 7 7 8 nan
nan 8 7 7 7 8 8 9 9 8 8 9 10 10 11 11 10 9 8 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 8 8 9 9 9 9 9 8 7 7 7 8 8 7 7 8 7 6 5 5 5 6 7 8 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 5 5 5 6 6 7 7 8 8 8 8 8 8 8 9 9 8 8 9 8 8 8 9 9 9 9 9 8 8 8 7 6 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 9 9 8 8 7 8 9 10 11 11 11 11 9 8 7 8 10 12 14 12 8 6 5 4 3 2 3 5 7 8 9 10 9 8 8 8 9 9 8 7 6 7 8 nan
nan 7 7 6 6 7 8 8 8 8 9 9 10 10 11 11 12 11 11 9 8 7 6 5 4 4 4 5 6 7 7 7 7 6 7 8 9 8 7 7 5 4 3 4 5 6 6 7 6 6 6 5 5 6 7 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 7 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 10 11 10 10 9 8 7 8 10 13 15 15 10 5 3 2 2 2 3 5 7 9 9 10 9 8 7 7 8 9 9 8 7 7 8 8 nan
nan 6 6 6 6 6 7 7 8 8 9 9 9 10 10 11 12 12 12 12 10 9 7 6 5 4 5 5 6 7 7 6 5 5 7 7 6 5 4 3 2 2 2 2 4 5 7 7 7 6 6 6 7 8 9 10 10 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 7 7 7 8 8 8 8 9 9 8 8 7 8 9 8 8 9 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 8 7 7 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 9 10 10 10 9 8 7 7 8 9 11 14 15 12 6 2 1 1 2 4 6 8 9 10 10 9 8 7 6 7 8 9 9 9 8 8 8 8 nan
nan 6 6 6 6 6 6 7 7 8 8 9 9 9 9 10 12 12 12 12 11 10 9 9 8 7 7 7 7 6 6 6 5 6 6 5 3 2 1 1 2 3 4 4 6 8 9 9 9 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 7 8 7 7 6 6 6 6 6 7 6 6 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 9 8 8 8 8 8 7 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 9 9 8 7 7 8 8 9 9 8 8 8 9 10 10 10 9 8 7 8 8 8 9 11 12 11 7 2 0 0 2 4 7 9 10 10 10 9 8 7 7 7 8 8 9 10 10 9 8 8 8 nan
nan 6 5 5 5 5 6 6 7 7 8 8 8 8 8 9 10 11 11 10 10 10 10 10 9 9 8 8 8 7 7 7 8 7 5 3 2 1 2 4 5 7 7 8 9 10 11 11 10 10 10 10 10 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 7 8 9 9 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 8 9 9 9 9 8 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 9 10 9 8 7 7 8 9 10 10 9 8 8 9 9 9 9 9 9 7 3 0 0 2 5 8 11 12 11 9 8 8 7 7 7 8 8 9 9 10 10 10 9 8 8 nan
nan 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 8 9 9 9 10 10 10 9 9 8 9 9 9 9 9 8 7 5 4 3 3 4 5 6 7 9 10 10 11 11 11 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 7 6 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 8 8 9 9 9 8 8 7 7 7 8 9 9 10 9 9 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 8 7 7 7 9 10 10 9 9 9 9 9 8 8 7 6 3 1 1 2 5 8 11 12 11 10 8 8 7 7 7 8 8 8 9 10 10 10 9 8 7 7 nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 8 8 8 8 9 10 10 9 8 6 5 5 5 6 6 7 7 8 9 10 11 11 10 9 10 11 10 10 10 9 9 9 10 10 9 9 8 9 8 8 8 7 7 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 7 8 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 8 8 9 9 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 7 7 7 8 8 8 8 9 10 10 9 8 7 7 8 8 8 9 9 9 9 9 8 7 7 5 4 3 2 3 5 7 10 11 11 10 8 8 8 8 8 8 8 8 9 10 10 10 9 7 7 7 7 nan
nan 6 6 6 6 5 6 6 6 6 6 6 6 6 7 8 8 8 7 7 8 8 8 8 8 8 9 9 10 10 9 8 7 6 6 7 8 8 8 8 8 8 9 10 9 8 8 10 11 10 10 9 8 8 8 9 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 6 6 6 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 7 8 7 7 7 8 8 8 7 7 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 9 8 8 7 7 7 8 8 8 7 6 5 4 3 4 5 7 9 10 10 9 8 7 8 9 9 9 9 8 8 9 10 10 8 7 7 7 7 7 nan
nan 6 6 5 5 5 6 6 6 6 6 6 6 7 7 8 8 7 7 7 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 7 6 7 8 9 9 8 8 7 7 7 6 6 6 6 6 5 5 5 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 6 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 10 10 10 9 9 8 7 7 7 7 8 8 7 7 7 8 8 8 7 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 9 10 9 9 8 6 6 7 7 8 7 6 5 4 4 5 7 9 9 9 8 7 6 7 9 9 9 9 9 9 9 9 9 9 7 7 7 8 8 7 nan
nan 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 8 6 5 6 7 8 8 8 7 7 6 6 6 7 7 6 6 5 5 6 6 7 7 8 8 9 8 7 7 7 7 7 8 7 7 7 7 6 6 5 6 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 9 9 9 8 8 9 10 10 9 9 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 9 10 10 10 10 8 7 7 8 8 8 8 7 6 6 6 6 8 9 9 8 7 6 6 8 10 10 10 10 9 8 8 9 9 8 7 8 8 8 7 7 nan
nan 7 7 7 8 8 7 7 6 6 7 7 7 7 8 8 8 8 9 9 8 7 6 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 6 6 7 9 9 9 8 7 7 6 7 9 9 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 9 9 9 10 9 9 8 8 8 9 9 9 8 8 7 7 7 7 8 9 9 8 7 7 7 9 10 10 10 9 9 8 8 9 8 7 7 8 7 7 6 6 nan
nan 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 10 11 10 9 8 8 8 8 10 10 11 10 10 9 9 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 7 7 7 7 7 6 6 6 7 7 8 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 8 7 6 6 7 7 8 8 8 7 8 8 8 8 8 8 7 8 8 8 8 8 7 6 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 9 9 9 9 9 8 8 8 9 8 8 7 7 7 7 6 6 nan
nan 8 9 9 9 8 7 6 6 7 7 7 7 6 7 7 7 7 7 7 6 6 6 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 9 9 8 8 9 11 12 12 10 9 9 9 10 10 11 11 12 11 10 9 9 8 8 8 8 8 9 10 11 11 10 9 9 8 8 8 8 8 8 7 6 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 7 8 7 7 7 8 8 9 8 8 8 8 8 7 7 8 8 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 nan
nan 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 11 12 13 12 11 10 10 10 9 10 10 10 10 9 9 9 8 8 8 8 7 8 9 10 10 9 9 8 9 9 8 8 9 9 9 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 7 6 6 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 7 6 6 7 8 8 8 9 9 8 8 7 7 8 8 9 9 nan
nan 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 13 13 12 12 11 10 9 9 9 9 9 9 8 9 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 8 8 9 10 9 9 8 7 6 6 6 6 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 7 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 9 8 7 8 8 7 6 5 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 nan
nan 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 10 10 10 11 11 11 11 12 12 12 12 13 13 13 12 11 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 7 6 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 8 7 6 7 7 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 nan
nan 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 11 12 12 12 12 12 11 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 7 7 7 7 8 7 7 8 8 8 7 6 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 nan
nan 9 8 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 7 8 8 7 6 6 7 7 7 6 5 5 5 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 6 5 5 6 7 8 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 8 7 7 7 6 6 6 7 7 8 8 8 7 7 8 8 9 10 10 10 10 9 8 8 8 8 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 13 13 13 12 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 9 9 8 7 6 7 8 9 8 7 7 7 7 8 7 6 6 5 5 4 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 7 7 7 8 8 8 8 8 7 8 8 8 7 6 5 4 5 6 7 8 8 8 8 8 8 8 8 nan
nan 10 10 10 10 9 8 8 7 7 7 7 7 8 8 8 8 7 7 7 8 9 10 11 11 10 10 9 8 7 8 9 9 10 10 10 10 10 9 8 8 8 8 8 7 7 7 7 8 8 9 10 11 12 12 13 13 13 13 12 12 12 11 11 10 9 9 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 4 3 4 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 9 9 8 7 6 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 7 7 8 8 8 8 8 8 8 9 9 8 7 6 6 7 8 9 8 8 8 8 8 8 8 9 nan
nan 10 10 10 10 9 8 8 7 7 7 8 8 9 9 9 8 6 7 7 8 9 10 11 11 10 9 8 7 7 8 9 9 9 9 10 10 10 9 8 8 7 7 7 7 7 8 9 9 9 9 10 11 11 12 12 12 12 13 13 13 12 11 10 10 10 9 10 10 10 9 9 9 9 10 9 11 12 11 10 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 4 4 5 7 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 7 6 6 7 7 8 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 9 9 nan
nan 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 7 6 7 7 8 9 10 11 11 10 9 8 7 7 8 9 9 9 9 9 9 9 8 8 7 7 6 7 9 10 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 11 11 10 10 9 9 10 11 10 10 9 9 9 9 9 10 11 11 10 9 8 7 8 8 8 8 8 8 8 8 8 8 7 6 4 4 5 6 8 9 9 9 9 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 10 10 10 8 7 7 7 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 9 9 8 8 8 9 nan
nan 8 8 8 8 7 7 7 7 7 7 8 9 9 9 8 7 6 7 7 8 9 10 10 10 10 8 7 7 8 8 9 9 9 9 9 8 7 6 6 7 7 8 10 11 11 11 11 10 9 8 8 9 9 10 11 11 11 11 11 10 9 9 8 8 9 9 9 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 5 4 4 6 7 9 10 10 9 8 8 8 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 9 10 10 10 9 9 8 9 10 11 10 9 8 8 9 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 9 9 8 9 9 9 9 9 8 8 8 nan
nan 8 8 8 7 7 7 7 6 6 6 7 7 8 8 7 6 6 7 7 7 8 9 9 9 8 7 7 7 8 8 9 9 9 9 9 7 6 6 6 7 8 9 10 10 10 9 9 8 7 7 8 9 10 10 10 10 10 10 9 8 7 6 7 8 8 9 8 8 8 8 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 5 4 5 7 9 10 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 8 8 9 10 10 10 10 10 9 8 7 7 7 7 7 6 6 6 7 8 8 8 8 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 9 9 9 9 8 8 8 9 nan
nan 8 7 7 7 7 7 6 5 4 5 5 6 6 6 6 6 6 7 7 7 7 8 8 7 7 6 6 7 7 8 9 9 9 9 9 7 6 6 7 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 6 5 5 6 7 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 9 9 9 8 9 9 10 10 10 9 8 8 8 9 9 10 10 10 8 7 5 6 7 9 9 8 7 6 7 7 8 8 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 8 9 9 8 8 8 8 9 9 nan
nan 8 8 7 7 7 6 5 4 4 4 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 7 7 8 9 9 10 9 9 7 7 7 7 7 8 9 8 8 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 7 6 7 7 7 8 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 9 9 9 8 8 9 9 10 10 9 8 8 8 9 9 9 10 9 8 6 5 7 9 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 9 10 nan
nan 8 8 7 7 6 6 6 5 5 5 6 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 6 6 7 7 8 7 6 6 6 6 7 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 5 6 7 8 8 7 7 6 7 7 7 7 7 6 6 7 7 7 8 8 8 7 8 8 9 9 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 9 9 8 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 8 8 7 7 7 7 6 6 5 6 6 6 6 6 7 7 7 7 6 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 7 6 6 5 5 6 6 5 5 6 7 7 8 8 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 5 5 5 7 8 8 8 7 7 7 7 8 8 8 7 6 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 9 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 9 8 9 9 9 9 9 nan
nan 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 7 6 5 5 5 5 5 5 6 7 8 9 9 8 8 7 7 7 7 7 7 8 8 7 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 9 10 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 8 9 10 10 10 9 9 8 8 9 9 9 8 8 9 10 10 9 10 10 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 7 6 5 5 6 6 6 7 8 8 9 9 9 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 6 7 8 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 10 10 10 9 8 8 8 10 11 11 10 9 8 8 8 9 9 8 8 9 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 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 8 8 8 8 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 8 8 8 7 8 8 8 7 8 9 9 9 9 9 9 9 8 8 8 8 8 7 6 6 6 7 7 7 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 10 9 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 9 8 7 8 8 8 8 7 8 8 8 9 8 8 7 7 8 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 9 10 10 10 9 8 7 8 10 11 10 10 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 8 8 7 8 8 8 8 nan
nan 9 9 8 8 8 8 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 10 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 8 7 8 9 10 10 10 9 8 8 9 9 9 9 10 10 9 9 9 9 9 10 11 11 9 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 7 7 8 8 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 10 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 8 9 9 10 11 10 10 9 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 9 10 9 8 8 8 9 9 9 10 9 9 9 10 10 9 9 10 10 9 8 8 8 9 10 11 11 10 9 9 8 6 6 7 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 8 8 8 8 7 7 7 8 8 9 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 9 10 10 11 11 11 12 11 10 9 9 9 9 10 10 10 10 9 8 8 7 7 7 7 7 7 8 8 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 8 9 10 9 8 7 7 7 9 10 11 11 10 10 10 8 7 7 7 7 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 nan
nan 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 8 9 9 9 10 10 11 11 10 10 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 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 9 9 9 8 8 9 9 8 8 8 9 10 10 10 10 10 10 10 10 9 8 9 9 8 7 7 7 7 9 10 10 10 10 11 10 8 7 7 7 7 8 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 9 9 9 nan
nan 8 8 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 8 8 8 8 9 9 8 7 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 8 10 11 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 8 9 9 9 9 10 11 10 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 9 9 8 8 8 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 7 8 8 8 7 7 7 7 8 8 8 7 7 7 8 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 8 7 8 10 11 10 10 10 11 10 9 8 7 6 6 7 7 8 8 9 10 9 8 9 10 11 11 10 9 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 nan
nan 9 9 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 9 8 7 7 7 8 8 8 8 9 10 10 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 7 9 10 10 10 9 10 11 10 9 8 6 6 7 7 8 8 10 11 10 9 8 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 nan
nan 9 8 7 7 8 9 9 9 8 8 7 8 8 8 8 8 9 8 8 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 9 8 7 7 6 6 7 7 7 8 8 8 7 7 8 7 6 6 7 7 7 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 9 8 8 7 7 8 8 9 9 10 10 10 9 8 8 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 10 9 8 7 7 9 9 9 9 9 10 11 10 10 8 7 7 8 8 8 9 10 11 10 9 8 8 9 9 9 9 9 8 8 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 8 8 8 8 9 nan
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nan 12 12 12 12 12 12 12 11 11 10 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 11 10 10 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 9 10 10 10 10 9 9 9 9 9 8 9 10 9 6 2 -0 -1 0 2 6 9 10 12 15 20 21 20 19 17 15 12 9 7 6 7 9 11 12 11 11 10 10 10 11 11 10 8 2 -1 -1 1 4 9 11 11 10 9 5 -0 -4 -4 1 5 8 11 16 23 27 25 21 17 15 14 14 14 14 13 11 10 9 10 11 12 nan
nan 13 12 11 10 10 10 10 9 9 9 8 9 10 11 12 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 10 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 10 10 9 7 3 -1 -2 -1 1 5 8 10 11 14 18 20 22 21 18 13 11 8 7 8 9 11 12 12 12 11 11 10 12 13 13 12 10 6 5 6 6 7 10 10 9 7 4 -1 -5 -6 -3 4 8 11 13 17 23 24 22 19 15 14 14 14 13 12 11 10 9 9 10 11 12 nan
nan 13 12 11 10 9 9 8 8 9 9 9 10 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 10 11 12 11 11 11 10 10 10 10 10 10 8 3 -1 -3 -3 -0 5 8 10 11 12 16 20 24 22 17 13 11 9 8 9 10 11 12 12 12 11 11 12 14 15 14 13 11 10 11 10 8 8 8 6 4 1 -2 -6 -7 -4 2 8 11 12 13 17 20 21 21 18 15 14 13 13 12 10 9 9 9 10 11 11 12 nan
nan 13 13 12 11 9 9 9 9 10 10 10 11 12 11 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 10 11 11 11 11 11 10 10 10 10 9 9 9 10 11 11 11 10 9 8 9 9 9 9 8 9 11 12 12 12 12 11 11 10 10 10 10 11 9 4 -1 -5 -5 -1 4 8 10 10 11 15 19 24 22 17 13 11 10 9 9 10 10 11 12 12 11 12 13 15 14 13 12 11 11 11 10 8 8 8 6 3 1 -1 -1 1 5 8 11 12 12 13 15 17 18 18 17 15 14 13 12 11 10 9 9 9 10 11 11 11 nan
nan 14 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 8 9 10 11 12 12 11 9 8 9 9 10 10 9 10 11 12 13 13 12 11 11 10 10 11 11 12 10 4 -1 -6 -7 -2 4 7 9 10 10 13 18 22 21 17 14 11 10 9 9 9 10 11 12 12 12 12 13 13 13 12 11 10 10 11 11 11 11 11 9 6 5 6 7 9 11 12 12 11 11 11 12 13 14 16 17 17 16 14 12 11 10 10 9 9 9 9 10 11 nan
nan 12 11 11 11 11 10 10 10 9 9 8 8 8 9 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 12 11 11 10 9 9 8 9 9 9 9 9 9 9 9 10 11 11 11 9 9 9 10 10 10 10 11 12 13 13 13 12 12 11 11 11 11 12 12 10 5 -1 -7 -8 -3 3 6 8 9 10 12 15 18 19 17 14 11 10 9 9 9 10 12 13 13 13 12 12 11 11 10 9 10 11 12 13 13 13 11 8 6 8 10 11 12 11 11 10 10 9 10 10 11 13 17 20 20 18 14 12 12 11 10 8 7 5 5 7 11 nan
nan 9 9 9 9 10 10 10 10 9 8 8 8 9 10 11 11 10 10 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 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 10 10 11 11 11 11 10 9 9 8 8 8 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 12 12 11 11 12 12 10 6 -0 -8 -8 -3 2 6 8 9 10 10 12 15 18 18 15 12 10 9 9 10 11 13 13 13 12 11 11 11 10 10 10 11 12 12 13 13 11 9 5 5 7 9 10 11 10 9 9 8 9 9 10 11 14 18 21 22 19 15 13 11 9 6 3 -1 -3 -1 5 12 nan
nan 7 7 8 9 9 10 10 10 9 9 9 10 11 11 11 10 10 10 9 9 8 8 8 8 9 10 10 9 9 8 8 7 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 12 12 13 13 13 12 12 12 12 11 11 10 9 8 5 -1 -7 -7 -3 2 6 9 9 9 9 10 13 18 20 19 15 12 11 11 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 9 6 3 3 5 7 9 9 8 8 7 8 9 10 11 12 13 16 20 22 21 17 12 7 3 -1 -5 -8 -7 -1 11 18 nan
nan 7 8 9 9 10 10 10 9 10 11 11 12 11 10 10 9 9 9 8 8 7 8 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 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 9 10 10 9 9 10 11 11 11 11 11 11 10 11 11 11 12 13 13 13 12 12 13 13 12 10 7 3 2 2 -2 -5 -5 -2 3 7 9 9 9 8 8 12 18 21 21 17 12 11 12 11 9 9 9 10 10 9 10 10 10 10 10 10 10 10 10 9 7 5 2 1 3 6 8 7 6 6 7 8 9 11 12 12 12 15 20 24 24 17 8 0 -4 -6 -7 -5 -0 11 22 24 nan
nan 9 10 10 11 11 10 10 10 11 11 12 11 11 10 9 9 8 8 7 7 8 9 11 11 12 12 11 10 9 9 10 10 10 10 9 9 10 10 10 9 10 10 9 9 9 8 8 8 8 7 7 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 9 8 8 8 9 10 11 11 11 11 10 10 10 9 9 9 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 12 13 13 13 12 12 12 12 9 4 -1 -3 -2 -2 -2 -1 2 5 7 8 8 8 8 8 12 17 19 19 14 10 9 8 6 6 7 9 9 8 8 9 10 10 10 10 10 10 10 9 8 7 4 1 1 2 5 6 5 5 6 7 9 10 11 12 12 12 16 22 27 25 14 1 -6 -7 -4 -1 4 11 21 27 27 nan
nan 10 11 12 12 12 11 10 10 10 10 10 10 9 8 8 7 6 6 7 8 10 11 12 12 12 11 10 9 8 8 9 10 10 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 11 12 12 11 10 9 9 9 10 10 11 11 11 11 10 10 10 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 11 12 11 11 12 12 12 11 11 11 12 12 11 7 1 -2 -3 -3 0 5 7 7 6 5 6 7 7 8 10 13 14 13 10 6 3 1 1 5 9 11 10 9 9 10 10 10 10 11 11 10 8 8 8 7 4 1 0 2 3 3 4 5 6 8 10 11 11 12 12 14 19 25 28 19 6 -4 -8 -3 4 8 10 15 22 25 27 nan
nan 9 10 11 11 11 11 10 10 10 9 9 8 8 7 6 5 5 6 8 10 12 12 12 11 11 10 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 13 13 11 6 2 -1 -4 1 9 11 9 5 2 3 6 7 8 9 9 9 8 7 4 1 -1 3 11 15 15 13 12 12 12 11 11 11 11 11 9 8 9 10 9 5 -0 -1 -0 1 2 4 6 8 10 11 11 12 12 13 18 24 28 23 8 -2 -5 -2 5 10 11 12 16 21 26 29 nan
nan 7 8 9 9 10 10 10 10 10 9 8 7 6 5 5 5 5 7 10 11 12 12 11 11 10 10 10 9 9 9 9 9 8 7 7 8 8 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 10 10 10 9 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 10 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 11 11 12 12 12 11 9 5 -0 -4 1 10 12 9 2 -1 2 5 7 8 8 8 7 8 7 5 3 3 10 17 18 16 14 14 15 14 13 12 12 11 10 8 9 10 10 8 2 -3 -3 -2 1 4 5 8 9 11 11 12 12 12 16 21 25 24 11 -1 -4 -2 5 10 11 12 13 17 23 30 32 nan
nan 7 8 8 8 9 10 11 11 11 10 9 7 5 5 5 6 8 9 11 11 11 11 11 11 11 11 11 11 10 10 10 9 7 7 7 8 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 10 9 8 9 11 11 11 10 10 10 10 10 10 10 11 11 10 9 10 10 10 10 11 11 11 10 9 7 3 0 4 8 8 4 -2 -2 2 6 8 9 8 8 9 9 9 7 7 10 15 17 16 15 15 15 14 13 12 11 11 11 9 8 7 6 4 -0 -6 -7 -5 -1 3 6 8 9 10 11 12 12 13 14 17 19 20 12 -0 -5 -3 4 9 11 12 12 15 21 28 32 31 nan
nan 8 8 8 8 9 10 11 12 13 11 8 6 5 6 7 9 9 10 11 11 11 11 11 12 12 13 12 12 11 10 9 8 7 7 8 8 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 12 12 11 10 10 10 9 9 10 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 7 6 7 6 3 -1 -2 0 4 7 9 9 9 9 10 10 10 10 10 13 14 13 13 14 15 14 13 11 11 11 10 10 8 5 2 -1 -4 -6 -7 -5 -1 3 7 8 9 10 11 12 14 15 16 16 16 15 12 4 -0 -0 4 9 11 11 12 15 20 28 32 33 28 nan
nan 8 8 9 9 10 11 12 12 12 8 5 4 4 7 8 9 9 9 10 10 11 11 12 13 14 13 12 11 11 10 9 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 9 9 8 9 9 10 10 9 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 10 10 10 10 10 9 8 4 -0 -2 1 5 8 9 10 10 10 10 11 11 11 12 12 13 12 12 13 17 18 16 14 12 10 9 7 5 3 -0 -3 -5 -4 -2 0 3 6 7 9 9 10 11 13 16 19 21 21 19 16 13 10 6 5 6 9 10 11 13 16 22 30 34 34 30 23 nan
nan 9 9 9 10 11 11 11 11 9 6 4 4 5 8 9 8 8 8 9 10 10 11 13 14 14 13 12 12 11 10 9 8 8 8 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 9 10 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 10 10 10 11 11 10 8 4 0 2 7 10 12 12 13 13 12 12 12 12 13 13 13 13 11 11 14 19 19 17 15 11 6 2 -0 -2 -2 -2 -1 1 4 7 8 9 9 9 10 12 13 15 18 23 27 28 25 20 16 13 10 7 7 8 9 10 12 17 24 31 35 34 29 22 16 nan
nan 9 10 10 10 10 10 10 9 8 6 5 6 8 10 9 8 8 8 8 9 10 11 13 13 14 13 13 12 11 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 10 10 10 11 11 10 8 9 9 10 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 10 10 11 11 9 6 5 9 13 15 15 16 16 15 13 12 13 14 15 15 14 12 11 11 13 16 16 16 14 8 2 -0 -0 2 4 6 8 10 12 12 12 10 11 12 15 18 20 22 25 28 30 27 21 15 10 6 3 3 5 8 10 12 16 23 31 34 32 27 20 14 13 nan
nan 9 9 9 9 9 9 9 9 8 7 8 9 11 11 9 8 8 8 8 8 9 10 12 13 13 13 13 12 11 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 10 10 9 9 10 11 11 11 9 8 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 10 10 10 10 9 9 8 8 8 9 9 10 10 9 9 10 10 11 10 9 9 10 14 15 15 15 16 16 14 11 12 15 18 18 16 14 12 11 12 14 16 18 19 17 12 10 10 13 16 16 16 16 17 17 16 13 12 15 19 22 23 23 23 23 22 19 13 9 5 2 -1 -1 2 7 12 15 18 23 30 33 30 24 18 13 12 12 nan
nan 8 8 8 8 8 8 9 9 8 8 10 11 12 10 8 7 7 7 8 8 9 10 11 12 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 8 8 9 9 10 10 10 9 10 10 10 11 10 10 11 12 13 12 12 12 14 13 12 11 14 20 22 21 18 14 13 14 17 21 24 27 29 26 22 21 22 24 24 22 20 19 19 17 13 10 10 15 18 18 15 14 13 11 7 4 3 5 6 6 5 8 13 17 20 22 25 29 31 28 22 16 12 11 12 12 nan
nan 7 7 8 8 8 8 8 8 8 9 10 11 10 8 7 6 7 7 7 8 9 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 9 8 9 9 10 11 10 9 9 10 10 11 11 11 11 12 11 11 10 10 11 11 11 11 13 17 21 21 20 16 14 15 19 23 27 29 30 30 27 25 25 24 23 20 18 16 15 14 9 4 2 5 10 13 11 9 8 8 7 5 6 11 16 19 18 17 19 21 23 24 25 26 26 23 19 15 12 11 11 11 12 nan
nan 8 8 9 9 9 8 8 9 9 10 11 11 9 7 6 6 7 7 7 7 8 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 11 10 10 10 10 11 11 11 10 9 9 9 10 10 10 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 9 9 9 10 11 11 12 12 12 11 10 10 9 10 10 10 11 12 14 15 16 15 14 12 13 15 18 22 24 23 22 21 19 19 19 17 15 13 12 10 9 7 5 4 5 10 15 17 17 16 15 15 15 17 20 24 26 25 21 19 18 18 19 19 20 19 17 14 12 11 10 11 11 11 10 nan
nan 9 9 10 10 10 9 9 10 10 11 11 10 9 8 7 8 8 8 7 7 8 9 9 9 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 11 11 11 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 10 10 11 12 12 12 11 10 9 8 9 9 9 9 10 11 12 12 11 11 10 10 11 13 14 15 16 16 15 14 13 13 12 11 10 10 10 9 8 9 11 13 15 18 21 23 22 21 20 19 20 22 24 24 22 18 15 14 13 13 13 13 13 12 11 11 10 10 10 11 11 10 8 nan
nan 10 10 10 10 10 9 9 9 9 10 10 9 8 8 8 10 10 9 8 8 9 9 9 8 8 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 12 12 11 10 9 9 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 9 9 10 10 10 11 11 12 12 11 9 7 5 4 3 3 5 7 9 10 10 10 10 10 10 10 10 11 12 12 13 12 10 8 8 8 9 9 10 11 12 12 12 13 15 15 16 17 18 19 18 17 15 15 16 16 16 15 13 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 nan
nan 9 9 9 9 9 9 9 8 8 8 9 8 8 7 9 11 11 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 10 9 8 7 7 6 6 7 8 8 8 9 10 10 11 10 10 10 10 10 10 9 10 10 10 11 11 11 11 10 8 4 -0 -3 -5 -6 -4 0 5 7 9 9 9 9 9 9 9 9 10 11 12 11 8 3 -1 2 6 10 13 14 14 13 13 12 12 12 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 13 nan
nan 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 11 11 10 9 8 9 9 8 8 8 8 9 9 10 10 10 10 11 10 10 10 9 9 9 9 9 8 8 8 7 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 9 8 8 9 10 11 11 11 11 10 10 10 10 9 9 8 8 8 9 10 10 9 7 5 4 2 0 -0 2 6 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 9 7 2 -5 -9 -11 -10 -8 -3 2 5 7 7 7 7 7 7 6 4 4 6 8 9 7 1 -8 -8 -0 9 18 21 18 15 13 12 11 10 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 13 13 nan
nan 10 11 11 11 11 12 12 11 10 9 9 10 9 8 9 10 10 9 8 8 9 9 9 8 8 8 8 9 9 10 10 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 11 9 9 10 10 10 10 10 11 11 11 11 9 7 5 4 4 5 5 7 8 7 5 3 -0 -3 -5 -3 2 6 8 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 10 9 8 7 5 1 -6 -12 -13 -10 -5 1 5 7 8 8 8 8 7 6 3 -1 -3 -2 2 6 7 3 -6 -12 -6 5 18 28 27 21 16 12 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 nan
nan 11 11 11 12 12 12 12 12 11 11 11 11 10 9 9 9 9 8 7 8 9 9 9 8 8 8 8 9 9 9 10 10 11 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 11 10 9 9 10 11 12 12 11 10 9 10 10 10 9 10 11 11 12 11 9 6 4 3 2 2 2 5 6 6 4 1 -3 -5 -4 1 5 8 10 10 9 7 6 6 7 9 10 10 10 10 10 9 7 7 6 5 3 1 -2 -6 -10 -12 -8 -2 5 9 10 10 9 9 10 10 8 6 3 -1 -2 0 5 8 7 3 -5 -5 5 16 29 33 29 22 15 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 10 10 10 11 10 11 11 11 11 12 12 12 12 12 nan
nan 11 11 12 13 13 12 12 12 11 11 11 11 10 9 8 8 7 7 7 8 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 8 8 9 10 10 11 12 12 12 12 11 10 10 10 10 10 10 10 11 11 10 10 9 10 10 10 9 10 10 11 11 11 10 9 7 5 5 4 5 7 7 6 3 -1 -4 -3 0 5 8 10 10 11 10 7 6 6 8 10 11 11 12 12 10 8 4 2 1 -1 -2 -4 -6 -6 -6 -3 2 6 9 10 10 10 10 11 11 10 10 8 7 6 6 8 11 11 9 6 4 10 19 28 35 32 26 19 14 11 10 11 10 10 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 nan
nan 11 11 12 12 12 11 11 11 11 11 10 10 10 9 9 8 7 7 8 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 8 9 10 10 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 9 10 10 10 10 10 11 10 10 9 9 10 10 10 9 6 4 1 -0 2 5 8 10 10 11 11 11 10 9 10 10 11 12 13 14 14 11 7 3 1 -0 -1 -0 -0 0 1 3 5 8 9 10 10 11 11 11 11 11 10 10 10 10 10 11 12 13 12 11 10 12 18 26 33 33 26 20 15 12 11 11 11 11 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 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 1 4 7 6 2 1 5 13 23 28 29 28 25 21 15 9 7 7 7 7 8 8 8 7 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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