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 7 7 8 8 8 8 8 8 7 7 6 7 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 7 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 6 4 1 -1 -1 0 2 3 3 4 5 5 6 6 6 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 8 7 7 6 6 6 6 6 7 7 7 6 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 6 6 5 5 4 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 7 5 2 1 -0 -0 1 2 3 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 7 6 5 5 6 6 6 6 6 7 7 6 6 7 7 7 7 7 8 7 7 8 8 8 8 9 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 9 9 8 8 7 6 5 3 2 1 1 1 2 2 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 6 5 4 5 6 6 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 6 6 7 7 7 7 7 7 7 6 6 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 9 9 8 6 6 7 7 8 8 9 9 9 8 8 7 6 6 4 2 1 1 1 2 2 2 2 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 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 7 7 7 7 7 nan
nan 7 7 7 7 6 4 4 5 7 7 8 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 7 6 6 7 7 7 8 8 9 9 8 8 8 7 7 6 4 2 1 1 2 2 2 2 2 2 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 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 7 7 7 7 7 7 7 nan
nan 7 6 6 6 6 5 5 6 7 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 6 5 6 6 7 7 7 7 8 8 8 8 8 7 7 6 7 7 7 7 8 8 8 9 8 8 8 8 7 5 4 3 2 2 2 3 2 2 2 2 3 3 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 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 6 6 6 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 7 7 7 7 7 7 7 7 nan
nan 6 6 5 6 7 6 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 7 6 5 5 6 7 7 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 8 8 8 8 7 6 5 5 4 3 4 4 3 3 2 2 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 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 6 6 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 5 5 6 7 7 7 7 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 7 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 8 7 7 6 6 6 5 5 6 6 5 4 3 2 2 2 2 2 2 3 3 3 3 4 4 5 5 6 6 6 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 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 5 5 6 6 7 7 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 7 7 6 7 8 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 3 2 2 2 2 1 1 2 2 2 3 4 4 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 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 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 nan
nan 6 5 5 5 6 7 8 8 7 6 6 6 7 7 8 8 8 8 8 7 7 7 7 6 6 5 5 6 6 6 6 6 5 6 6 6 6 6 6 7 7 7 7 6 6 7 7 8 8 7 7 7 7 7 7 7 6 7 8 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 5 4 3 2 2 2 1 1 1 1 2 2 3 4 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 5 5 5 5 6 7 8 8 6 5 6 6 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 7 8 7 7 7 7 7 7 7 6 6 6 5 5 4 3 3 2 1 1 1 1 2 3 3 4 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 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 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 5 6 5 5 7 8 8 7 6 6 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 6 6 6 5 6 7 8 8 7 7 8 8 7 7 7 7 7 7 6 6 6 5 4 3 2 1 1 2 2 3 4 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 6 6 7 7 8 8 8 7 7 7 8 8 8 8 9 9 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 5 6 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 6 5 3 2 2 2 3 3 4 5 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 nan
nan 5 6 7 9 9 9 8 8 8 8 7 8 8 9 10 10 9 7 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 6 6 7 7 8 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 6 5 5 6 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 5 3 3 3 3 4 4 5 6 7 7 7 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 nan
nan 5 5 7 9 9 9 8 8 8 8 8 7 8 9 10 10 7 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 7 8 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 8 8 7 7 6 6 5 5 6 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 5 4 4 4 4 4 5 6 7 7 8 7 6 6 5 5 5 5 6 6 6 6 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 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 8 7 nan
nan 5 5 7 8 9 8 7 8 8 8 8 8 9 10 10 8 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 7 6 5 5 5 5 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 5 4 5 5 5 5 5 6 7 8 8 8 8 7 6 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 nan
nan 6 7 7 8 8 7 7 8 9 8 8 8 9 10 8 6 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 7 8 8 9 9 8 8 7 7 8 8 8 8 7 7 7 7 6 7 8 9 9 9 8 8 8 9 9 9 9 9 8 8 8 9 10 10 10 9 8 6 5 5 5 6 7 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 6 5 4 5 6 6 6 6 7 8 9 9 9 8 7 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 7 nan
nan 8 7 7 7 7 7 7 9 9 9 8 9 9 9 8 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 9 9 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 9 8 6 5 5 5 6 7 8 9 9 9 9 8 8 7 6 6 6 6 7 7 7 7 7 6 5 5 5 7 7 7 7 8 9 10 10 9 8 7 6 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 8 8 8 8 nan
nan 8 7 7 7 8 8 8 9 9 9 9 10 10 10 8 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 8 8 8 8 8 8 8 7 7 6 6 6 7 8 9 9 8 8 8 8 9 9 9 9 8 8 8 9 10 10 10 10 9 7 5 4 4 5 6 8 9 10 10 10 9 9 8 7 7 6 6 6 6 6 6 6 7 7 6 6 7 7 7 7 8 9 11 11 10 9 8 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 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 9 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 nan
nan 8 7 6 7 7 8 8 8 9 10 10 11 11 10 8 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 6 5 4 5 6 7 8 9 10 10 9 9 8 7 7 7 7 7 7 6 6 7 7 7 6 6 7 7 7 7 8 11 13 13 12 10 9 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 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 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 7 nan
nan 7 6 5 5 6 7 8 8 9 10 10 10 10 9 7 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 8 9 9 9 10 11 11 10 9 7 5 5 5 6 6 7 8 9 9 9 8 8 8 7 7 8 7 7 7 7 7 8 8 6 5 6 6 7 7 8 10 13 14 14 11 9 7 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 6 5 5 5 7 8 8 9 9 10 9 9 9 8 6 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 10 10 10 10 9 9 8 9 9 9 9 9 8 8 9 10 11 11 11 9 8 6 5 4 5 6 7 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 7 6 5 6 6 7 7 9 10 12 12 11 9 6 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 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 8 8 8 8 8 7 7 nan
nan 5 5 6 7 9 9 8 8 9 9 9 10 10 9 6 6 6 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 10 9 9 9 10 10 9 9 8 8 8 9 10 11 11 10 9 7 5 4 4 5 6 7 8 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 7 6 6 6 7 8 8 9 9 9 9 8 6 5 5 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 8 8 8 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 6 8 9 8 8 8 8 9 10 11 11 10 8 6 5 6 7 7 8 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 9 10 11 10 9 8 6 5 4 4 5 6 7 8 8 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 7 6 6 7 8 8 8 9 9 8 8 7 6 6 7 9 9 8 8 8 7 7 7 7 8 8 8 9 9 9 9 8 7 7 6 6 6 6 6 6 7 7 7 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 7 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 8 nan
nan 8 9 9 7 4 4 6 8 10 10 10 9 8 6 5 6 7 7 8 9 9 9 9 8 8 7 7 6 6 7 7 8 8 8 7 7 7 7 8 7 7 6 6 5 6 6 7 8 8 9 10 10 11 10 10 10 10 10 11 12 12 11 10 9 8 9 9 10 10 9 8 7 5 5 4 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 6 6 6 7 7 7 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 6 5 5 5 6 6 7 7 7 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 10 10 7 3 -0 2 6 9 9 9 8 7 6 5 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 7 6 5 6 6 7 7 8 10 11 11 11 10 10 10 10 11 12 12 12 12 11 10 10 10 10 10 10 9 7 6 5 4 4 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 8 8 7 7 7 8 9 9 9 8 9 9 9 9 9 8 9 9 10 10 10 10 9 8 6 5 5 5 5 5 6 7 7 7 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 7 2 -1 0 5 8 9 8 7 6 6 6 6 6 6 7 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 7 6 6 6 7 7 9 10 11 12 11 10 10 9 10 11 12 13 13 13 12 12 11 11 11 11 10 9 7 5 4 4 4 5 6 7 7 7 7 8 8 8 8 8 7 7 8 8 8 9 8 7 6 6 6 6 7 7 7 7 7 8 8 7 6 7 7 8 8 8 8 9 9 10 10 10 10 11 12 12 12 11 9 8 6 5 5 4 5 5 6 7 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 2 -1 0 5 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 7 6 6 7 7 8 9 11 12 11 11 10 9 9 10 11 13 13 13 13 13 12 11 11 11 11 10 8 6 4 3 3 4 5 6 7 7 7 7 7 8 8 8 7 6 6 7 8 8 8 7 7 6 6 7 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 8 8 9 10 11 13 15 15 15 14 11 8 6 5 4 4 5 6 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 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 8 8 8 8 8 8 8 8 8 8 nan
nan 5 1 1 5 8 9 9 9 8 8 8 8 9 10 10 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 6 7 7 8 10 11 11 11 10 9 8 9 10 11 12 13 13 13 13 12 10 10 10 10 10 8 6 4 3 4 5 6 7 7 7 7 7 7 8 8 7 6 6 6 7 8 8 8 7 7 7 8 8 8 7 7 8 8 8 7 6 5 5 5 6 6 6 6 6 7 8 9 11 12 14 15 16 15 12 8 5 4 4 4 5 6 7 8 9 9 9 8 8 7 7 6 6 6 6 6 6 6 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 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 5 3 6 8 9 9 9 9 8 8 8 9 10 11 10 9 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 9 10 11 10 9 9 8 9 10 10 11 11 11 12 13 12 11 10 10 10 9 8 6 5 4 5 6 6 7 7 7 7 7 8 8 8 7 6 6 7 7 8 8 7 7 8 8 9 9 8 8 8 8 8 8 6 5 5 5 6 6 6 6 6 8 9 9 9 9 10 11 12 11 9 5 1 1 3 4 5 7 8 9 9 9 9 9 8 7 7 6 6 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 4 5 8 9 9 9 9 8 8 8 9 10 10 10 9 9 9 8 8 9 8 8 7 7 7 6 7 7 8 8 8 8 8 9 9 10 10 9 9 8 8 7 7 7 6 6 6 7 8 9 10 10 9 9 9 10 10 10 10 9 10 11 12 13 13 12 11 9 9 7 6 5 5 5 6 7 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 7 8 8 8 9 9 9 8 8 8 8 7 5 5 6 6 6 6 6 6 7 9 9 9 8 8 8 9 9 7 3 -1 -3 1 4 6 7 9 9 10 9 9 9 8 7 7 6 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 nan
nan 2 6 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 7 7 6 5 5 6 7 7 8 8 7 7 7 8 9 10 10 10 10 9 9 8 7 7 6 6 6 6 7 8 9 10 10 10 10 11 11 10 9 9 9 10 11 12 13 13 11 8 6 5 4 4 5 6 7 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 5 1 -2 -0 4 7 9 10 10 10 10 9 9 8 7 7 6 5 5 5 5 5 5 6 6 6 7 7 7 7 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 9 9 9 9 9 9 9 9 nan
nan 3 8 10 10 9 9 10 10 10 10 10 10 9 10 10 10 10 9 8 8 7 6 6 5 6 6 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 8 7 7 7 6 6 6 7 8 9 10 11 11 11 11 10 9 9 9 9 10 11 12 12 9 5 3 1 2 3 5 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 5 6 6 7 7 7 7 7 8 8 8 8 7 7 8 8 8 6 3 1 1 5 10 12 12 11 10 10 9 9 8 7 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 12 12 10 9 10 10 10 10 10 10 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 9 9 10 11 11 10 9 8 8 8 7 6 6 7 7 9 10 10 11 11 11 10 10 9 9 9 10 10 10 9 6 3 1 1 3 6 8 10 10 10 9 8 8 7 7 7 8 8 8 7 7 7 8 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 6 4 4 8 13 16 15 13 12 11 10 9 8 7 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 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 9 9 9 9 9 9 9 9 nan
nan 14 14 12 9 8 9 10 10 10 10 11 12 13 12 11 10 9 8 8 7 7 8 8 8 7 6 6 6 6 6 6 6 7 7 7 8 8 8 10 11 11 10 9 8 8 8 8 7 7 6 7 8 9 9 10 10 10 10 10 10 10 10 10 9 8 7 5 3 3 4 6 9 11 11 11 10 9 9 9 9 8 8 8 8 7 6 6 7 8 9 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 7 7 8 10 14 18 18 15 13 12 11 9 7 6 5 5 5 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 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 9 9 9 9 9 9 9 9 nan
nan 14 13 9 6 7 8 8 9 10 11 13 13 13 11 10 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 9 10 10 10 9 8 8 9 9 8 7 7 6 7 8 8 9 9 9 10 10 11 11 11 10 9 8 7 5 4 6 8 10 11 11 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 11 13 14 13 12 12 11 10 7 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 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 nan
nan 11 9 5 3 5 7 8 9 11 12 13 13 11 9 8 8 7 6 5 6 7 8 9 8 8 8 8 8 8 8 7 7 7 6 7 7 7 6 7 8 9 9 9 8 9 9 9 8 8 7 6 6 7 7 7 8 8 9 9 10 10 10 9 8 7 6 5 6 8 10 11 11 10 8 8 9 9 10 9 9 9 9 9 8 8 8 8 8 7 5 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 9 9 8 7 4 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 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 nan
nan 7 3 0 1 4 7 9 10 11 12 12 11 10 8 8 8 7 6 6 6 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 9 11 11 9 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 8 6 5 5 5 4 4 5 6 7 7 7 7 7 7 8 9 9 8 7 8 8 8 7 8 8 8 8 9 10 10 10 9 8 7 7 6 5 4 4 3 1 -1 -1 2 3 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 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 9 9 9 9 8 8 8 8 8 9 nan
nan 3 -0 -0 2 6 9 10 11 11 11 11 10 9 8 8 8 7 7 7 7 8 9 9 9 9 9 9 8 7 6 7 7 7 7 7 7 7 7 6 6 7 7 8 9 10 9 8 8 7 7 7 8 8 8 7 7 6 7 7 7 7 6 6 5 5 5 6 7 8 9 9 8 8 8 8 9 10 10 11 11 11 11 10 10 10 10 9 9 8 7 6 6 5 5 6 6 6 6 7 7 7 8 9 10 9 8 8 8 8 8 8 8 8 9 9 10 11 11 10 8 7 7 6 4 1 -1 -2 -3 -4 -6 -2 2 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 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 8 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 1 1 3 6 9 10 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 7 6 6 6 7 7 7 7 8 8 8 7 7 7 7 8 9 10 9 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 6 5 5 5 5 5 5 6 7 7 8 8 7 8 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 6 7 7 7 8 9 9 8 8 8 9 9 9 9 8 8 8 9 11 11 10 9 7 7 7 6 3 0 -2 -2 -2 -3 -2 2 5 6 6 6 6 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 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 8 9 9 9 10 nan
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nan 9 9 9 9 8 7 6 6 6 7 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 7 8 9 10 11 10 9 8 8 7 7 8 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 10 10 10 10 9 9 9 9 8 7 7 7 8 8 8 8 6 5 5 6 6 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 10 12 12 11 10 10 10 10 9 9 9 9 9 8 7 6 6 9 11 12 12 12 12 13 14 13 12 12 12 13 12 10 9 9 11 12 11 10 9 9 10 13 17 20 22 23 23 22 22 23 24 25 24 22 20 16 13 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 12 12 nan
nan 9 9 8 7 6 6 6 7 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 7 7 7 8 9 10 10 9 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 9 9 9 9 10 10 10 9 9 9 9 9 9 8 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 5 6 7 8 9 8 7 6 6 6 8 10 12 12 11 10 10 10 9 9 10 9 9 9 8 7 6 5 7 10 12 12 11 10 11 11 11 11 12 13 14 14 12 11 11 11 12 11 10 9 8 9 10 12 14 15 15 14 12 12 13 16 19 22 23 21 17 13 11 12 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 nan
nan 8 7 7 6 6 7 7 8 9 10 9 9 9 9 9 8 8 7 7 7 8 8 8 7 7 7 8 9 10 10 10 9 8 8 8 8 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 9 10 10 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 8 7 7 6 6 6 7 9 11 12 12 11 9 7 6 8 10 11 12 11 11 10 10 10 10 10 11 10 10 10 9 7 7 8 10 12 13 11 10 10 10 10 10 10 11 12 13 13 12 12 12 12 11 9 8 8 8 9 10 10 10 10 8 6 5 4 3 4 6 8 9 8 5 5 10 16 19 16 13 12 12 12 12 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 nan
nan 7 6 7 7 8 8 9 9 10 10 9 9 9 9 8 8 7 7 7 7 8 8 7 7 7 8 10 10 10 10 9 9 8 8 8 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 9 9 10 9 9 9 9 9 9 9 8 7 7 7 7 8 9 10 10 9 10 10 10 10 11 11 10 9 8 9 10 13 14 14 13 11 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 11 12 13 13 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 9 8 8 9 9 10 10 10 10 10 9 9 9 8 6 3 1 0 -1 -3 -3 2 9 15 16 12 11 12 13 13 13 13 13 13 13 13 13 12 13 13 14 14 14 14 14 14 13 13 13 nan
nan 6 7 8 8 9 9 9 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 10 9 9 8 7 7 7 7 8 9 10 11 10 10 10 11 11 12 13 13 12 11 10 10 12 13 13 12 12 12 12 14 15 15 13 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 11 13 13 12 11 11 11 11 11 11 10 10 9 9 9 9 10 10 9 9 8 8 9 9 10 10 11 11 12 13 15 16 16 16 14 12 10 7 6 8 13 16 16 12 12 13 15 15 15 14 14 14 13 13 13 13 15 16 17 16 15 15 15 14 14 13 13 13 nan
nan 7 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 9 10 11 10 10 9 8 8 8 8 8 9 9 9 10 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 6 6 5 6 7 9 10 12 11 10 11 11 12 12 13 12 11 10 9 10 11 12 12 12 11 12 13 14 15 15 14 12 12 12 12 11 11 11 10 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 12 13 14 15 16 17 19 22 23 22 22 23 26 28 29 25 22 22 22 23 22 20 19 17 16 14 14 15 18 22 24 22 18 16 15 14 14 13 13 12 12 nan
nan 8 8 9 9 9 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 9 9 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 9 8 6 4 3 2 2 3 5 6 7 8 9 9 10 11 12 12 12 12 10 9 8 9 10 12 13 13 12 11 12 12 13 13 13 12 12 12 12 11 11 10 10 9 9 8 8 8 9 9 9 9 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 9 10 10 9 9 9 9 9 9 9 9 10 11 11 11 12 12 14 16 19 22 24 25 27 29 31 30 28 28 28 28 28 28 27 25 22 20 19 19 20 23 26 25 21 17 14 13 13 13 13 12 12 12 nan
nan 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 10 10 10 10 9 7 6 4 2 0 -0 -0 1 2 2 3 3 4 5 7 9 11 12 12 11 10 8 8 8 10 12 13 13 13 12 11 11 11 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 11 11 12 13 15 17 18 19 19 19 19 19 21 22 23 25 26 27 26 25 26 26 26 25 23 21 18 15 15 16 15 15 14 13 12 12 11 nan
nan 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 8 7 6 5 5 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 8 6 3 2 1 1 1 2 3 4 4 3 2 2 2 3 5 7 9 9 8 8 8 8 8 9 11 12 13 13 11 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 6 7 7 8 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 11 12 12 13 15 16 17 18 20 23 26 28 27 25 22 19 16 17 19 21 21 19 16 13 11 9 9 nan
nan 8 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 6 4 4 4 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 9 9 9 9 10 10 11 11 11 10 8 5 3 2 2 3 5 6 7 7 8 7 7 6 5 5 5 6 5 4 2 2 3 4 6 7 9 11 11 10 9 8 8 9 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 6 5 5 4 4 4 5 8 9 10 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 12 13 17 19 21 21 22 23 22 20 18 18 17 16 14 10 7 6 6 6 nan
nan 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 9 8 7 6 5 4 4 5 6 7 7 8 9 9 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 9 7 5 5 5 7 9 9 10 10 10 9 9 8 8 9 9 8 7 6 2 -1 -1 -1 1 3 6 7 8 7 7 6 6 6 7 8 10 10 9 10 10 10 10 10 10 10 10 9 9 9 8 7 6 5 5 5 5 4 4 3 5 7 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 9 9 9 10 11 12 13 13 12 10 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 17 18 18 14 9 4 0 -1 -0 -1 1 3 4 5 nan
nan 9 10 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 10 10 10 9 8 7 6 5 4 4 5 6 7 7 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 9 8 8 9 11 13 13 13 13 12 12 11 9 9 9 9 10 10 9 8 6 4 3 2 2 2 3 3 3 3 5 6 6 6 6 7 7 6 7 8 9 9 9 10 10 10 10 10 9 8 6 4 2 2 2 4 5 6 6 8 10 12 12 10 8 7 9 9 10 10 9 9 9 9 10 10 10 10 9 9 9 10 11 12 14 13 11 10 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 10 4 -2 -7 -8 -7 -5 -3 0 3 5 6 nan
nan 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 10 10 10 9 9 8 7 6 5 4 4 5 6 7 8 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 10 10 10 9 9 9 10 12 13 15 15 15 15 15 13 11 10 10 10 10 10 11 11 10 10 9 9 8 6 5 3 1 0 2 4 5 6 7 7 6 5 5 5 6 7 8 9 10 11 10 9 8 7 5 4 3 3 3 4 6 7 9 11 13 15 14 12 9 7 8 8 9 9 9 9 9 10 10 10 9 9 9 9 8 9 9 10 11 12 11 10 10 11 10 9 8 7 8 9 9 9 10 11 11 11 10 10 10 10 11 11 12 12 11 10 10 9 7 3 -3 -5 -5 -3 -1 1 3 5 7 8 8 nan
nan 8 8 8 8 8 8 9 8 8 7 7 7 7 8 8 9 9 10 9 9 8 8 7 6 5 5 5 5 7 7 8 8 9 10 11 12 12 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 12 12 11 10 11 12 12 12 11 11 11 11 11 11 10 10 9 8 6 5 4 4 3 2 1 2 4 4 5 6 7 7 7 8 9 11 10 9 7 6 5 4 5 6 8 10 10 10 11 12 14 14 13 12 10 8 8 8 8 9 9 8 8 9 9 9 8 7 7 7 8 8 8 8 9 10 10 9 10 11 11 10 9 8 8 8 9 9 9 10 11 12 11 11 11 10 10 10 11 11 11 9 8 7 5 0 -5 -7 -6 -2 2 5 6 7 8 9 9 10 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 6 5 5 5 6 7 7 8 9 9 10 11 12 12 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 6 7 9 12 13 13 12 12 12 11 11 10 10 10 10 9 9 9 8 8 7 4 2 -0 -1 1 2 4 6 7 8 8 9 9 9 8 7 6 5 5 6 8 10 11 11 10 10 11 12 11 10 9 9 9 9 9 9 9 9 8 7 7 8 8 7 5 5 5 6 6 7 7 8 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 12 12 12 11 11 11 10 10 10 11 10 10 9 7 4 -1 -6 -8 -7 -3 2 6 7 8 9 9 10 10 10 nan
nan 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 8 7 7 8 8 7 6 5 5 5 6 7 8 8 9 9 10 11 12 13 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 9 8 5 2 2 4 7 10 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 8 7 6 4 4 4 4 5 6 7 8 8 7 5 4 4 4 5 6 7 8 8 7 6 6 7 9 8 7 6 6 7 7 8 8 9 9 8 8 7 8 8 7 6 6 7 8 9 8 8 8 8 8 8 7 6 6 6 7 9 10 11 11 11 10 10 11 12 12 11 11 10 10 10 10 11 11 11 10 10 8 4 -0 -3 -2 1 5 8 9 9 10 10 10 10 10 10 nan
nan 9 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 6 5 5 6 7 7 8 9 9 10 11 12 13 14 13 13 11 11 11 11 11 10 10 9 9 9 9 9 8 8 9 9 8 8 8 9 9 9 9 9 7 4 3 5 8 11 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 9 8 6 5 4 5 6 7 6 4 3 3 3 3 4 5 4 4 3 5 6 8 8 7 6 5 6 6 6 6 6 7 7 8 10 11 12 11 9 9 10 12 13 12 11 10 9 8 7 6 6 6 6 6 8 10 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 9 8 9 11 11 12 11 10 10 10 10 10 10 10 10 nan
nan 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 9 8 7 6 5 5 6 7 7 8 9 9 10 10 12 13 14 13 12 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 6 6 8 11 14 15 14 12 10 10 10 11 11 13 14 14 15 15 16 17 17 18 19 18 16 15 14 14 13 13 12 10 8 6 5 5 5 6 6 6 6 5 4 5 5 5 6 7 10 12 12 11 9 8 7 7 7 6 6 6 6 8 11 13 14 13 10 9 9 10 11 11 11 11 9 7 5 5 5 6 6 7 8 9 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 13 16 18 16 14 11 9 9 9 9 9 10 10 10 10 nan
nan 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 8 7 5 5 5 6 7 7 8 9 9 10 10 11 13 13 12 11 11 11 11 11 10 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 8 8 8 7 7 8 10 13 14 13 11 10 9 10 10 10 11 12 13 14 16 17 19 19 20 20 20 18 17 16 16 16 16 17 16 16 14 11 9 7 7 9 10 10 9 8 8 8 8 9 10 12 13 14 12 10 9 8 8 8 8 8 8 7 8 11 13 13 12 9 7 7 8 8 8 8 8 7 6 4 4 5 6 8 8 8 9 11 12 12 12 12 11 11 11 11 12 12 12 11 11 10 9 10 10 10 10 10 10 12 14 16 14 10 7 5 6 8 9 9 10 10 10 11 11 nan
nan 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 8 6 5 5 5 6 7 7 8 9 9 10 10 12 14 14 13 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 7 7 8 10 10 10 9 8 8 9 9 10 10 10 11 11 12 14 15 16 17 17 16 15 15 15 16 18 19 20 20 21 21 19 18 17 16 16 15 14 12 10 10 9 9 9 10 10 11 10 9 7 6 6 7 8 8 8 9 9 9 10 11 11 9 7 6 7 8 9 9 8 7 6 5 5 5 6 8 10 10 10 11 12 13 13 13 12 12 11 11 11 11 12 12 11 11 10 10 10 10 9 10 10 10 11 12 13 10 5 2 1 2 6 8 9 10 10 11 11 11 11 nan
nan 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 9 7 6 5 5 5 6 7 7 8 9 9 10 11 13 16 16 16 15 13 12 12 11 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 6 6 7 9 10 10 10 10 10 11 12 13 13 13 12 11 11 12 13 14 16 17 18 20 21 21 20 20 21 22 22 19 16 12 10 10 9 9 10 9 9 8 7 5 4 4 5 7 8 8 9 9 9 10 11 11 10 8 7 8 10 11 11 11 10 9 7 7 8 10 12 13 13 12 12 14 15 15 14 13 12 11 11 10 10 10 11 11 11 10 10 10 10 9 9 9 9 10 11 11 10 7 5 4 4 7 9 10 10 11 11 12 12 12 12 nan
nan 7 7 8 8 9 9 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 7 6 5 5 5 6 7 7 8 9 9 10 12 15 17 18 17 15 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 7 5 4 4 6 8 9 9 9 10 10 11 12 12 12 11 11 10 11 11 11 11 12 13 15 16 16 15 16 16 18 19 18 15 13 10 10 10 9 9 9 9 9 8 7 6 5 5 6 7 7 8 9 9 10 11 12 13 13 12 12 13 13 13 13 12 12 11 12 13 15 16 17 17 15 14 15 15 15 14 14 13 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 11 12 11 10 11 12 12 12 12 13 13 nan
nan 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 5 5 5 6 6 7 8 9 9 11 14 18 19 19 16 13 12 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 6 3 2 4 5 7 8 8 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 13 13 12 11 9 8 8 10 10 10 9 9 9 9 9 9 9 9 8 8 7 6 4 3 4 5 6 7 8 9 10 11 12 14 16 17 18 17 16 15 14 13 13 13 14 15 17 17 17 18 17 17 16 15 14 13 13 13 12 11 10 9 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 9 11 12 13 13 13 12 11 12 12 13 13 13 13 13 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 6 5 5 5 6 7 8 8 10 12 17 20 20 18 14 12 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 9 9 9 9 9 8 8 8 8 6 3 3 5 6 7 7 8 9 11 12 12 12 12 11 11 11 11 11 11 11 11 12 13 12 9 5 3 1 2 4 5 5 6 6 5 5 6 6 7 6 4 2 -1 -3 -4 -4 -2 -1 0 2 4 6 9 12 14 16 17 18 18 18 17 16 15 14 14 15 15 15 15 15 14 14 14 14 14 13 12 12 12 12 11 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 10 11 11 12 13 14 13 13 13 13 13 13 13 13 13 nan
nan 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 6 5 5 5 6 7 8 8 11 14 19 20 18 15 12 11 11 12 12 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 9 9 8 5 4 5 6 7 8 8 10 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 9 6 4 3 3 5 5 5 5 4 2 1 0 1 1 0 -1 -3 -5 -7 -7 -7 -5 -4 -4 -4 -4 -2 1 5 9 12 14 14 15 15 15 15 15 14 14 14 14 14 13 12 11 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 10 10 12 14 14 14 14 13 12 12 13 12 12 12 nan
nan 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 6 5 5 5 6 7 7 9 11 15 18 17 14 11 11 12 13 13 12 10 9 9 9 9 9 9 9 9 10 10 9 10 10 10 9 8 8 8 9 9 9 10 9 7 4 4 5 6 8 9 10 11 13 14 13 13 13 12 11 11 11 11 11 11 10 11 11 11 10 10 10 11 13 13 11 9 7 5 3 2 1 0 -1 -2 -4 -5 -4 -2 -0 2 4 3 3 1 0 0 1 2 3 4 6 9 12 13 13 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 12 14 14 14 14 13 12 12 12 12 12 12 nan
nan 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 6 6 5 5 6 7 7 8 10 14 16 14 12 11 13 14 14 12 10 8 8 9 9 9 9 9 10 10 10 9 9 9 8 6 6 6 7 8 9 10 10 10 9 6 4 3 4 7 8 8 10 12 15 17 15 14 13 12 11 11 11 11 10 9 9 10 11 12 13 15 17 17 17 16 15 13 11 9 8 6 6 6 5 3 3 4 6 8 10 11 12 12 12 12 11 10 8 6 3 3 6 10 13 13 12 11 11 11 11 11 11 12 11 10 9 9 8 8 8 9 9 9 9 9 10 10 10 11 11 12 12 12 11 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 12 13 12 14 13 12 12 12 12 13 13 13 nan
nan 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 7 8 10 13 14 14 13 14 15 14 11 9 7 7 8 9 9 9 9 10 10 10 9 8 8 7 5 3 3 5 7 9 10 11 11 11 9 6 3 3 5 7 8 8 9 13 18 19 17 15 13 11 11 11 10 10 9 8 9 10 12 13 14 15 15 15 16 16 15 14 13 12 11 10 11 11 12 11 12 13 14 14 15 15 16 17 18 18 18 17 14 12 11 12 14 16 15 12 11 10 10 10 11 12 12 12 11 10 9 9 8 9 9 9 9 9 9 9 10 10 11 12 12 13 13 12 11 10 10 10 10 10 9 9 9 10 11 11 12 12 12 11 12 12 11 12 13 13 13 15 16 18 18 16 15 nan
nan 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 7 8 10 12 14 14 15 16 14 12 9 7 7 7 8 10 10 10 10 10 9 9 9 9 8 6 3 3 4 6 9 11 12 12 11 10 7 4 2 2 5 7 7 8 10 15 19 19 17 14 12 11 11 11 10 9 9 9 10 11 12 13 13 12 11 11 12 13 14 14 15 16 16 16 17 18 19 18 18 18 18 18 18 19 21 23 24 23 20 18 16 15 16 17 17 16 13 10 9 9 8 10 11 12 12 11 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 13 13 13 12 10 10 10 10 10 9 9 9 10 11 12 12 13 12 12 12 11 11 11 12 12 13 17 21 24 25 23 21 20 nan
nan 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 8 7 7 6 6 6 6 7 7 9 12 14 15 16 15 12 11 9 8 8 9 10 11 11 11 10 9 9 10 11 10 9 7 5 6 8 9 11 13 12 11 9 7 4 2 1 2 5 7 7 8 10 15 18 18 16 13 11 11 11 11 10 10 10 10 11 11 12 12 11 11 10 9 9 10 11 13 15 17 18 20 23 24 24 23 22 22 23 24 25 27 28 29 28 24 20 17 15 15 16 16 17 16 12 10 9 8 9 10 11 12 12 11 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 13 13 12 11 10 10 9 9 9 9 9 10 11 12 13 13 12 12 12 11 11 10 10 11 11 13 18 23 26 26 25 25 26 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 8 7 7 6 6 6 6 7 7 9 11 14 16 16 14 12 11 10 9 9 9 10 11 12 11 10 9 10 12 12 11 9 7 7 9 10 10 11 12 11 8 6 3 1 -0 1 4 6 7 7 8 11 15 17 17 14 12 11 11 11 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 9 10 12 13 15 18 20 21 22 21 22 23 25 28 30 29 28 27 24 20 17 16 15 16 17 20 22 20 17 14 12 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 11 11 12 13 13 12 11 10 10 9 9 9 9 10 11 12 13 13 12 11 11 11 10 10 9 9 9 10 12 15 18 18 19 20 23 26 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
13 22 39 63 85 98 103 101 74 48 28 16 8 3 2 1 1 0 0 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 1 1 1 1 1 1 2 2 3 2 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 3 2 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 2 2 2
31 44 68 97 118 123 106 82 51 27 12 4 1 0 0 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 1 1 1 1 1 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2 3 3 3 3 3
72 91 116 132 128 108 70 40 20 9 3 0 0 0 0 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 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 4 4 5 4
123 138 142 126 96 60 30 12 4 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 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1 1 1 2 2 3 3 3 3 3 3 2 2 2 2 1 1 1 2 2 2 2 1 2 2 2 3 4 5 6 6
155 148 121 83 49 23 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 6 6 7
158 128 85 44 20 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 5 5 8 8 8
139 94 52 24 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 3 3 3 3 2 3 3 3 3 3 4 5 7 9 8 10 10 10
111 64 26 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 3 3 3 3 3 3 4 3 3 4 5 6 7 9 10 10 11 11 11
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