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 5 4 4 6 6 6 5 6 8 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 8 9 10 12 12 12 11 10 9 9 10 10 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 10 11 12 12 11 10 9 8 9 10 10 9 8 8 8 8 9 10 11 11 11 10 9 9 9 9 9 9 10 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 10 11 11 12 11 10 8 8 7 7 7 6 6 6 7 8 9 10 11 10 9 9 8 8 8 8 9 9 10 10 9 7 5 4 5 7 9 10 11 10 8 5 4 3 4 4 5 6 7 8 8 8 8 8 8 7 7 7 8 9 9 10 nan
nan 6 4 3 4 5 5 6 6 7 8 8 8 8 8 9 9 9 9 9 8 8 8 9 10 10 9 9 9 9 10 10 10 10 10 9 8 7 7 8 9 10 11 12 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 8 8 8 9 9 8 8 8 9 9 9 8 7 7 8 8 9 9 9 9 8 8 7 8 10 10 10 9 9 8 8 8 7 8 9 11 11 10 9 8 8 7 6 7 8 8 8 8 8 9 10 10 11 11 12 11 9 8 7 6 6 5 5 6 7 7 8 9 11 11 10 9 8 8 8 8 9 9 9 9 8 7 5 4 6 9 10 11 10 8 4 3 2 3 4 6 7 8 9 9 9 8 7 7 7 7 7 8 8 9 10 10 nan
nan 5 3 3 3 4 5 6 6 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 12 13 12 12 11 11 11 11 10 10 10 9 8 7 7 7 7 7 8 8 8 8 7 7 6 7 7 8 8 8 8 7 7 7 6 5 5 6 6 6 6 6 7 7 8 8 9 9 9 9 9 8 9 9 9 9 9 9 8 8 7 7 7 9 10 10 10 9 8 6 6 5 6 7 7 7 7 8 8 9 10 10 11 11 11 10 9 8 7 6 5 5 6 6 7 8 8 9 10 10 10 9 9 8 8 8 9 9 8 7 6 6 6 8 10 11 11 8 3 1 0 1 4 6 8 9 9 10 9 9 8 6 6 7 7 8 8 8 9 10 10 nan
nan 4 3 3 3 4 5 6 6 6 5 5 6 7 8 9 10 10 9 9 9 9 9 8 8 8 9 9 9 9 10 10 11 11 10 10 10 11 12 13 13 13 12 12 12 13 14 13 11 11 10 10 11 11 11 11 10 9 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 7 6 6 5 4 4 4 5 5 5 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 10 10 9 8 6 5 5 6 7 7 7 7 8 8 8 9 9 10 10 10 11 10 10 8 7 6 6 6 6 7 7 7 7 8 9 10 10 10 9 8 8 8 8 8 7 7 7 8 9 11 11 9 4 -1 -2 -1 2 5 7 9 9 10 9 9 8 7 6 6 7 8 8 9 9 10 10 10 nan
nan 5 4 3 3 4 6 7 7 5 4 5 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 11 10 10 11 11 12 13 14 14 13 12 12 13 13 12 11 10 9 10 10 11 12 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 7 7 6 5 5 4 4 4 5 5 5 5 6 6 7 7 8 8 8 9 10 10 9 9 8 9 9 9 9 8 8 8 7 7 7 7 8 10 11 10 8 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 10 11 11 10 9 8 7 7 7 7 7 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 9 10 9 5 0 -2 -2 0 4 7 8 9 9 9 9 8 7 6 6 6 7 8 9 10 10 10 10 10 nan
nan 6 5 4 3 4 6 7 6 4 5 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 12 11 10 10 10 10 11 11 13 13 12 11 12 12 12 10 9 9 8 9 9 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 8 8 7 7 7 7 7 6 5 5 5 4 4 6 7 7 6 6 7 8 8 8 8 9 10 11 11 10 9 8 8 9 10 10 9 9 9 9 8 8 7 8 9 11 10 9 8 8 7 7 8 8 9 10 10 10 9 10 10 9 8 8 10 11 12 11 10 9 8 8 7 7 6 7 7 7 7 8 8 10 11 11 10 9 9 9 8 8 8 8 8 9 7 3 0 -0 1 4 7 9 10 9 9 9 8 7 7 7 7 7 8 8 9 10 11 11 11 10 nan
nan 6 5 4 4 4 6 6 5 5 7 10 11 10 10 9 8 7 7 6 6 7 7 7 8 9 10 11 11 11 11 12 11 10 10 9 8 8 8 9 10 10 10 10 10 10 9 7 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 6 7 7 7 7 8 8 9 9 9 9 10 11 11 10 9 8 9 9 10 11 10 10 10 10 9 8 8 8 9 10 11 10 9 8 8 7 7 8 9 9 10 10 9 9 9 9 8 8 9 11 11 11 10 9 9 8 8 7 6 6 7 7 7 7 8 9 11 11 11 10 10 9 8 8 7 8 8 8 6 4 2 3 5 8 10 10 10 8 8 8 8 7 7 7 7 7 8 9 10 11 11 11 10 9 nan
nan 6 6 5 5 5 6 6 6 7 8 9 10 9 8 8 8 8 7 7 7 8 8 9 9 10 11 12 12 12 12 12 11 10 9 8 8 8 8 8 8 9 9 10 10 9 8 7 7 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 9 9 9 8 9 10 10 11 10 9 8 7 6 6 7 7 8 8 8 8 8 8 9 9 9 10 10 9 9 9 8 7 7 7 7 7 6 6 6 7 8 9 10 11 11 11 10 9 9 8 7 7 8 7 6 5 5 6 8 10 11 11 9 7 7 7 7 7 7 7 8 8 9 9 10 11 11 10 9 8 nan
nan 7 7 6 6 6 6 5 6 6 7 8 8 7 7 8 9 9 9 9 9 10 10 11 11 11 12 12 12 12 11 10 9 8 8 8 8 9 9 10 10 11 11 10 9 9 9 11 12 12 11 11 9 8 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 8 8 8 8 8 8 8 8 9 9 8 8 9 9 10 10 10 9 9 9 10 9 9 8 8 8 9 9 9 8 7 6 6 6 6 6 7 7 7 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 8 7 6 6 7 8 8 9 10 11 11 10 10 9 8 7 7 7 7 6 5 5 7 9 11 11 9 7 7 7 7 7 8 8 8 8 9 9 10 11 11 10 8 7 6 nan
nan 8 8 8 7 7 6 5 5 5 6 7 7 7 7 8 9 9 9 9 10 10 11 11 12 12 11 11 11 10 10 9 9 8 8 8 9 9 10 11 12 13 13 11 9 8 10 13 15 15 14 13 11 10 9 10 10 9 9 8 7 6 6 6 6 7 8 8 8 8 8 7 7 6 7 7 7 7 7 6 5 5 4 4 5 6 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 9 8 7 7 8 8 8 8 7 6 6 6 6 6 6 7 7 8 9 10 9 8 7 7 8 8 9 9 8 8 9 9 8 8 7 7 8 8 7 8 9 10 10 10 9 9 8 7 6 6 6 5 5 6 7 9 10 9 7 7 7 8 8 8 8 9 9 9 9 9 10 10 9 8 6 6 5 nan
nan 10 9 9 8 7 6 6 6 6 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 10 10 10 10 10 10 10 9 9 8 8 9 9 10 11 12 13 12 11 9 10 12 15 15 14 13 13 12 12 12 13 12 11 10 8 7 7 7 7 7 7 7 8 7 7 6 6 6 6 7 7 7 6 6 6 6 5 5 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 9 9 10 9 8 7 6 7 9 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 7 6 6 6 6 7 8 9 8 7 6 7 8 9 9 8 9 9 9 8 8 9 9 9 8 7 6 5 5 nan
nan 10 10 9 9 8 8 7 8 8 9 9 9 8 8 7 7 7 8 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 9 8 8 8 8 8 9 11 12 12 11 11 11 11 12 12 12 12 12 12 13 13 13 12 11 10 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 7 8 9 9 9 9 9 8 8 8 8 9 9 8 7 6 6 6 6 7 8 9 10 10 9 8 8 8 8 8 8 9 9 8 7 7 8 9 10 9 9 9 9 8 8 8 8 8 8 8 7 6 5 5 nan
nan 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 10 10 10 10 9 8 8 7 6 6 7 10 11 12 12 11 11 10 10 9 9 9 9 10 11 11 11 11 10 10 9 8 8 7 7 7 6 5 5 5 6 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 8 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 8 7 5 4 4 6 7 8 9 10 10 9 9 9 9 8 8 7 8 9 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 8 8 7 6 5 5 nan
nan 9 9 9 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 7 7 7 6 6 6 8 9 11 11 11 11 11 10 8 7 7 7 7 8 9 10 10 9 9 8 8 7 7 6 6 5 4 4 5 7 7 7 6 6 6 6 6 6 7 7 7 6 6 7 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 7 7 7 8 9 9 9 10 10 9 9 8 8 9 9 9 8 9 9 9 9 8 8 7 6 4 4 5 7 8 9 9 9 9 9 9 9 8 7 6 7 8 8 8 8 8 9 8 8 8 8 7 7 8 8 9 9 9 9 8 6 6 6 nan
nan 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 9 9 10 10 11 11 10 9 8 7 7 7 7 7 8 8 8 8 8 8 7 6 6 5 4 5 6 6 7 7 6 6 7 7 7 6 6 8 9 8 7 6 6 7 8 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 8 9 10 8 7 7 7 8 9 9 9 8 7 7 8 8 9 9 9 9 9 9 7 7 8 9 9 9 9 9 9 9 9 8 8 7 6 5 6 7 8 9 9 10 10 10 10 10 9 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 10 11 11 9 8 7 7 8 nan
nan 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 8 9 9 8 7 8 8 7 7 8 8 9 9 10 11 11 11 10 9 8 7 7 6 6 7 7 7 7 7 7 6 5 5 5 6 7 7 7 6 6 7 8 8 7 7 8 9 11 10 9 7 6 6 7 8 8 8 8 8 7 6 6 7 7 7 8 7 7 7 7 7 8 9 9 8 8 8 8 9 10 9 7 7 7 7 8 9 10 9 9 8 8 8 9 9 9 9 9 9 8 6 7 8 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 11 11 12 12 11 11 10 9 8 8 8 8 8 8 7 7 7 8 8 8 9 10 11 11 11 11 9 8 8 8 9 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 8 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 5 6 7 8 9 8 8 7 6 5 5 6 7 8 8 9 10 10 11 11 10 9 8 7 7 7 7 8 8 8 7 7 7 6 6 6 6 7 7 7 8 8 9 9 8 7 7 8 9 10 12 12 10 8 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 9 9 8 8 8 8 9 8 8 7 7 6 7 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 7 8 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 11 11 11 11 11 12 11 10 8 8 8 7 7 7 7 8 8 9 10 10 11 11 10 10 9 8 8 9 10 10 nan
nan 8 9 10 11 10 10 9 10 10 11 11 9 7 6 5 5 6 6 6 6 6 5 6 6 6 6 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 5 5 5 6 7 8 8 8 8 9 10 10 9 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 8 9 10 10 11 12 12 10 7 5 4 4 5 6 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 6 6 7 8 8 8 8 8 8 9 9 9 8 7 7 8 9 9 9 8 8 9 9 8 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 10 9 9 8 7 6 7 7 8 9 9 10 10 9 9 9 8 8 8 8 9 10 10 nan
nan 9 10 11 12 11 10 9 9 11 11 10 7 5 4 4 5 6 6 6 6 5 6 6 6 7 6 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 7 7 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 8 8 9 8 8 7 8 11 12 11 10 10 9 8 7 5 4 4 4 5 5 6 7 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 7 7 8 8 8 8 7 7 7 8 8 7 7 6 6 7 8 8 9 9 8 8 8 7 7 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 10 10 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 nan
nan 10 10 11 11 10 9 8 8 10 9 8 6 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 6 6 6 6 8 8 7 6 6 6 6 6 6 6 7 7 8 9 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 9 8 9 9 10 9 8 7 8 11 13 11 9 8 7 7 6 6 5 4 4 4 4 5 6 6 6 6 6 6 7 7 7 8 8 7 7 7 7 7 8 9 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 5 5 6 7 8 9 8 8 7 7 8 9 9 9 9 9 9 9 9 10 9 8 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 8 9 9 9 7 7 7 7 8 8 9 8 7 7 7 7 7 7 nan
nan 9 9 10 11 10 8 7 8 9 8 7 6 6 6 6 6 5 5 6 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 6 7 6 5 5 5 6 6 6 6 7 7 8 9 10 10 9 9 8 8 8 9 9 9 9 10 11 11 10 9 8 9 11 11 10 10 9 9 10 11 10 9 8 8 7 7 7 6 5 5 4 4 4 5 5 6 7 7 7 6 6 7 7 7 7 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 7 6 5 5 6 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 10 10 8 6 5 5 6 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 8 7 8 9 9 9 9 8 7 6 6 7 7 8 nan
nan 8 9 10 10 9 8 7 8 8 8 8 7 7 7 6 6 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 9 9 9 10 12 12 12 10 9 10 11 10 10 12 12 11 10 9 8 8 8 7 7 7 7 6 6 6 5 5 4 4 5 6 7 8 8 7 7 7 7 7 7 7 7 7 8 9 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 8 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 6 5 6 7 8 8 8 7 7 8 8 8 9 10 10 10 10 9 9 9 9 10 10 9 8 7 7 6 7 8 9 9 nan
nan 9 9 9 9 8 7 7 7 8 8 8 8 8 7 6 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 7 7 7 6 6 6 5 4 3 3 4 4 5 6 6 7 7 6 6 6 7 8 8 9 10 10 10 10 9 9 8 8 8 8 8 9 9 11 11 11 10 10 10 10 9 10 12 13 12 10 8 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 7 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 7 7 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 6 6 6 6 7 8 8 7 7 7 8 8 8 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 9 9 9 nan
nan 9 9 9 8 7 7 7 8 8 8 8 7 7 6 5 4 4 4 4 5 6 6 7 6 6 6 6 6 7 7 7 7 7 6 6 5 4 3 3 3 3 4 5 7 7 8 8 7 7 8 8 8 9 10 11 11 11 11 10 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 11 11 11 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 8 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 9 9 9 9 10 10 9 9 9 9 9 8 8 8 9 9 9 9 8 8 9 9 8 7 6 6 6 6 6 6 6 6 7 8 8 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 9 9 8 7 6 7 8 8 8 6 5 5 5 5 4 3 3 3 3 5 6 7 7 7 6 6 7 7 8 7 7 6 6 6 5 4 4 4 4 5 5 6 7 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 9 8 7 7 7 7 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 5 5 5 7 9 9 9 8 8 8 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 6 6 6 7 7 8 7 6 5 6 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 nan
nan 8 8 8 7 7 7 7 6 5 3 3 3 4 4 4 3 3 3 4 5 6 7 7 7 7 7 7 7 8 8 7 7 6 6 6 5 5 5 5 5 6 7 8 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 6 7 8 8 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 6 7 9 9 9 8 8 9 9 10 10 10 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 8 8 9 9 10 10 10 9 10 10 10 10 10 9 8 6 4 3 5 7 8 9 9 9 6 5 6 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 9 9 9 9 8 7 7 8 9 9 nan
nan 9 9 8 8 7 7 5 4 2 2 2 4 5 5 5 4 4 5 6 7 7 7 7 6 7 7 7 7 8 8 8 8 7 6 7 7 6 5 5 5 6 7 8 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 6 6 7 8 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 7 7 8 9 9 8 7 8 8 9 10 9 8 7 7 8 8 9 9 10 10 10 9 9 9 10 9 9 9 8 8 8 8 8 9 9 11 11 11 10 9 9 8 8 9 10 10 9 6 3 1 4 8 9 10 10 9 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 7 7 7 8 9 10 nan
nan 9 8 7 6 6 5 5 4 3 3 4 6 6 6 6 6 6 6 6 7 7 6 6 5 6 6 6 7 8 9 9 7 7 7 8 7 6 5 5 5 6 8 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 11 9 8 7 8 7 7 7 8 9 9 8 8 8 9 9 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 8 7 6 6 7 9 9 8 8 7 7 7 8 8 8 7 6 6 7 8 8 9 9 10 9 9 9 8 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 8 8 8 9 10 11 10 8 4 3 5 8 9 10 10 9 9 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 8 8 8 7 8 8 8 9 10 11 nan
nan 8 7 5 5 5 5 5 4 4 5 6 6 6 6 6 6 6 5 6 6 6 6 5 5 6 6 7 7 8 9 8 6 6 7 8 8 7 6 6 6 7 9 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 10 8 7 7 8 8 9 9 10 9 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 7 7 7 7 7 8 7 6 5 6 8 9 9 9 8 8 8 7 8 8 8 7 7 7 8 8 9 9 9 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 11 11 10 9 9 9 9 9 10 10 11 11 10 9 6 4 6 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 8 8 8 8 8 9 9 10 11 11 nan
nan 6 5 5 4 5 5 5 5 6 6 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 8 8 9 9 8 7 7 8 8 8 7 6 6 7 8 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 8 6 7 8 9 9 9 9 8 8 8 9 9 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 10 9 9 10 10 11 11 11 10 9 8 8 8 9 10 10 11 10 10 9 8 6 5 6 8 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 8 9 9 9 9 9 10 10 9 nan
nan 6 6 5 5 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 9 8 8 8 8 8 8 7 7 6 7 7 9 10 10 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 8 7 8 8 9 9 8 8 7 7 8 8 9 10 10 10 8 8 7 7 8 8 8 8 8 8 9 9 9 8 7 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 10 11 12 12 11 10 9 9 10 10 11 11 10 9 8 7 7 7 8 9 10 10 9 8 8 8 6 5 6 7 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 8 8 9 9 9 9 9 9 8 8 nan
nan 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 8 8 7 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 8 7 6 7 8 9 9 9 9 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 11 12 12 11 10 9 9 9 9 9 9 9 8 8 8 7 8 8 9 10 9 8 8 8 7 5 5 6 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 nan
nan 8 8 7 7 7 7 6 6 6 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 7 8 8 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 10 9 9 8 8 8 8 8 8 9 9 8 8 8 7 6 6 6 7 7 7 8 8 8 8 9 9 9 8 7 6 7 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 8 7 7 8 8 8 9 9 10 11 12 11 10 9 9 8 8 8 9 8 7 7 7 8 8 9 11 11 10 9 9 9 7 5 5 7 8 9 10 9 9 8 8 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 7 8 nan
nan 8 8 7 7 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 7 8 8 8 8 7 7 7 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 8 9 9 10 10 10 10 10 11 10 9 9 8 8 8 8 9 9 9 9 8 6 6 6 6 6 6 7 7 7 8 8 9 10 9 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 10 11 12 11 10 9 8 8 8 8 9 9 8 7 7 7 9 11 12 12 10 9 8 9 8 7 7 8 10 11 11 9 9 8 8 9 10 10 10 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 7 6 5 5 4 4 5 6 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 7 7 8 8 9 9 9 9 10 10 9 9 10 11 11 10 10 9 8 7 8 9 10 10 9 9 7 7 6 6 6 6 7 7 7 8 9 10 10 10 9 9 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 10 11 12 12 11 9 8 8 8 9 10 10 9 8 8 8 10 12 12 10 8 6 7 8 9 9 8 9 10 11 10 9 8 8 8 9 10 10 10 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 6 5 5 5 5 6 6 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 8 7 7 8 8 8 9 9 10 10 9 9 9 9 9 10 10 9 8 8 7 7 8 9 10 10 9 8 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 11 12 13 12 10 9 9 9 9 9 10 9 9 8 8 9 10 10 9 7 5 5 6 8 9 9 9 10 11 11 10 9 8 8 9 10 10 10 9 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 nan
nan 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 10 10 10 9 8 8 8 7 7 8 8 9 9 9 8 8 8 8 9 8 7 6 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 10 12 13 14 13 11 10 9 9 9 9 9 9 8 8 7 7 7 8 8 7 6 5 5 6 7 8 8 9 10 11 10 9 9 8 8 9 9 9 9 8 7 8 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 7 7 7 7 7 7 7 8 7 7 6 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 10 11 13 14 13 12 10 9 9 9 9 9 9 9 8 6 5 5 5 7 7 6 6 6 7 7 7 7 8 9 10 10 10 9 8 7 7 9 9 8 8 7 8 9 10 10 10 9 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 6 7 7 7 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 10 10 10 10 9 9 8 7 7 7 7 7 6 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 7 7 7 8 8 9 9 9 7 5 3 3 5 6 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 12 13 13 12 10 9 9 9 9 10 10 10 9 7 6 5 5 6 7 6 6 6 7 8 7 7 7 8 9 10 10 9 8 7 7 7 8 9 9 8 8 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 7 7 7 7 8 8 8 9 9 8 9 8 8 8 9 9 8 8 9 9 9 9 8 7 7 8 8 9 10 11 11 10 10 10 9 9 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 10 10 10 9 8 7 6 7 7 7 7 7 7 7 8 8 9 10 10 11 11 9 6 5 5 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 11 12 12 12 11 9 9 9 10 10 10 10 10 9 7 6 6 7 8 7 7 6 7 7 8 7 7 7 8 9 9 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 nan
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nan 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 7 7 7 8 8 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 11 12 13 14 14 14 14 15 15 16 17 17 16 14 11 10 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 7 8 8 9 9 9 8 7 6 6 6 6 6 5 5 5 5 8 12 15 14 13 12 11 10 10 9 9 8 9 10 11 12 13 13 13 12 11 11 11 10 7 4 1 0 1 3 6 8 9 10 9 9 8 8 8 8 7 7 7 8 10 11 12 13 13 13 13 12 11 10 9 9 10 10 11 12 nan
nan 8 9 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 9 8 7 6 7 7 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 15 16 16 17 17 18 17 16 13 11 9 8 8 8 9 9 9 9 9 9 9 10 10 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 7 6 6 5 5 5 5 5 5 7 11 13 14 14 12 10 9 9 8 7 8 9 10 12 13 14 14 13 11 11 11 11 11 8 5 3 2 2 4 7 9 9 9 8 8 7 6 6 6 6 6 7 9 10 12 13 13 14 13 12 11 11 10 10 10 10 11 12 12 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 10 10 9 8 8 8 8 8 9 10 11 10 9 7 6 6 7 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 16 17 18 18 18 18 17 15 13 10 8 7 7 8 9 10 10 10 9 9 9 9 9 10 10 9 8 8 7 8 8 9 9 9 9 9 9 9 9 8 6 5 5 5 5 5 5 5 7 10 12 13 14 13 10 9 9 8 8 9 10 11 12 14 14 14 12 11 11 12 13 13 12 11 10 9 8 9 9 9 8 7 6 5 5 4 5 6 6 6 7 9 11 12 13 13 13 13 12 11 11 10 10 11 11 12 12 12 nan
nan 10 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 9 8 7 8 8 9 10 11 11 10 8 7 6 6 7 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 14 15 16 17 18 19 18 17 16 13 11 9 8 7 7 8 8 8 9 10 10 9 8 9 9 10 10 10 10 10 9 9 9 9 9 10 9 9 8 8 9 9 7 6 4 4 4 5 5 5 5 6 9 11 14 15 13 11 10 10 9 9 10 11 12 12 13 12 11 11 11 11 12 14 14 14 15 15 15 14 13 11 8 6 4 3 2 3 4 6 6 7 7 8 10 11 12 12 13 13 13 12 11 11 11 11 11 11 12 12 11 nan
nan 10 10 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 8 8 10 11 12 11 10 8 6 6 6 7 8 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 14 15 16 17 18 17 16 15 13 11 9 8 8 8 8 8 8 8 8 8 9 9 10 9 8 9 9 10 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 7 6 5 4 4 5 5 5 6 7 9 12 15 15 13 12 11 11 11 11 11 11 11 12 11 11 10 10 11 12 13 13 12 13 14 15 16 17 17 15 12 9 6 4 4 5 6 7 7 7 8 9 10 11 11 12 12 13 13 13 12 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 9 10 12 12 11 9 7 6 6 7 8 9 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 14 14 14 14 14 14 14 15 16 17 17 16 14 12 10 8 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 8 7 7 6 5 5 5 5 6 6 8 9 12 14 14 13 12 12 12 12 11 11 11 11 12 12 11 11 11 11 12 12 12 11 11 13 15 16 18 19 18 17 13 10 9 8 8 8 8 7 7 8 8 9 10 11 12 13 14 14 13 12 12 11 11 11 11 11 11 11 nan
nan 10 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 8 10 11 12 12 10 8 6 6 6 7 9 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 13 13 14 14 15 15 15 15 15 15 15 15 15 15 16 17 16 15 13 10 8 7 6 7 8 8 9 9 9 8 8 7 7 7 8 8 8 8 7 8 8 9 10 10 11 10 10 10 9 9 9 9 10 10 10 9 9 8 7 6 5 5 5 5 6 8 9 10 11 13 13 12 12 12 12 12 11 11 11 12 13 13 12 11 11 10 11 11 10 10 12 13 14 15 16 17 17 15 13 12 11 10 9 8 8 7 7 8 9 11 12 12 13 14 14 14 13 13 12 11 10 10 9 9 9 10 nan
nan 9 9 10 10 10 10 10 10 10 9 8 8 8 8 7 7 6 6 6 7 8 9 10 12 12 11 9 7 6 5 6 8 10 10 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 13 14 15 15 16 16 17 17 17 17 16 16 15 15 15 15 15 14 12 10 8 7 7 7 8 8 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 8 7 6 6 5 5 6 7 9 9 10 11 11 12 13 13 13 13 12 11 11 12 13 13 12 12 11 11 10 10 10 10 11 12 12 12 12 13 12 12 11 10 10 10 10 9 8 7 7 7 9 10 12 13 14 14 14 14 14 14 13 12 10 9 8 7 6 7 10 nan
nan 8 8 8 9 9 9 10 10 9 9 9 9 8 8 8 7 7 7 7 8 9 10 11 12 12 10 8 6 5 5 7 9 10 11 11 11 10 10 10 11 11 12 12 11 11 10 10 10 10 10 11 11 11 12 12 13 13 14 15 16 16 17 17 18 18 18 18 18 17 16 15 14 13 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 6 5 6 7 9 9 10 10 9 11 13 15 16 16 14 13 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 8 7 7 8 9 9 8 7 7 7 9 10 12 13 14 15 15 15 15 15 15 13 10 8 6 5 4 4 8 13 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 10 11 12 12 11 10 7 6 6 6 8 9 10 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 14 15 16 17 17 18 18 18 18 19 20 20 19 18 16 14 13 12 11 10 9 9 9 9 9 9 10 9 9 8 8 8 8 7 7 7 7 7 8 9 9 9 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 10 9 8 6 6 7 7 6 6 7 8 9 10 10 9 9 8 10 14 17 18 17 14 13 13 12 10 9 9 10 10 9 10 10 11 11 11 11 10 10 10 10 9 8 6 5 6 7 8 8 7 7 7 8 10 12 13 13 14 15 16 17 18 17 16 12 8 5 3 2 4 9 15 18 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 10 11 13 13 12 11 9 7 6 6 7 8 9 10 10 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 14 15 16 17 18 19 19 19 19 19 20 21 21 20 18 15 12 11 10 9 9 8 9 9 9 9 9 9 10 10 10 9 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 9 7 5 5 6 6 6 7 9 10 11 11 10 9 8 8 10 14 17 17 14 11 10 10 9 8 9 9 10 9 9 10 11 11 11 11 11 10 10 9 8 8 7 6 5 5 7 7 7 7 7 8 10 12 13 13 13 14 15 17 19 19 18 14 10 5 2 2 4 10 17 21 22 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 6 6 6 8 9 11 13 13 13 11 9 7 6 6 7 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 12 13 15 16 17 18 19 19 19 19 19 19 19 20 20 19 16 13 10 8 8 8 9 9 9 9 10 9 9 8 9 9 9 9 9 9 8 8 8 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 11 11 9 8 7 7 7 7 8 10 11 11 9 8 8 7 8 11 13 14 13 10 7 6 6 6 8 10 11 10 9 10 10 11 11 11 11 11 10 9 8 8 8 7 6 5 5 6 7 7 7 9 10 12 13 13 13 13 15 18 21 22 19 14 9 5 3 3 6 10 16 20 22 21 nan
nan 9 9 9 10 11 11 10 9 9 9 9 9 8 7 6 6 6 7 8 10 11 13 14 13 12 9 7 6 7 7 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 14 16 17 17 18 18 17 17 16 16 16 16 17 17 16 14 11 9 7 7 7 8 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 10 9 8 8 10 11 11 9 7 6 6 8 10 11 12 12 10 8 6 4 4 6 11 14 14 12 11 12 12 11 11 11 11 11 9 9 9 9 9 8 5 4 4 5 6 7 9 11 13 13 13 13 13 15 19 22 24 23 16 9 4 2 3 7 12 16 19 22 22 20 nan
nan 8 8 8 9 11 11 11 10 10 9 9 8 7 6 6 6 7 8 9 10 12 13 14 13 12 9 8 7 7 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 13 14 16 17 18 18 17 16 15 14 13 13 13 13 14 14 14 13 11 10 8 8 8 8 9 10 11 11 10 8 7 7 7 7 8 8 9 9 9 9 8 9 9 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 11 10 8 9 10 11 9 5 3 3 6 9 11 12 12 12 11 9 7 5 5 10 15 16 15 14 14 14 13 13 12 12 11 10 9 9 9 9 8 5 2 2 3 5 8 9 11 13 13 13 13 13 15 18 20 21 21 16 10 5 2 3 7 12 15 19 22 24 24 23 nan
nan 8 8 8 9 10 11 11 11 10 10 9 8 6 6 6 6 7 8 10 11 12 14 14 13 12 10 8 7 7 7 8 8 9 9 10 10 10 11 11 11 10 11 11 12 13 14 16 17 18 18 18 17 15 13 12 11 10 10 11 12 12 12 12 12 12 11 9 8 8 8 9 9 10 9 9 7 7 7 7 8 8 9 9 9 9 8 9 9 10 11 10 9 9 9 10 10 10 11 11 12 12 12 13 13 12 11 11 10 10 10 11 12 12 12 12 12 11 10 10 10 9 5 1 1 3 7 10 12 13 13 13 12 10 9 7 9 13 15 15 14 14 14 14 13 12 12 11 10 9 8 7 5 4 2 -1 -2 -0 3 8 10 12 13 13 13 14 14 15 17 19 18 16 12 6 3 2 3 7 12 15 18 21 24 26 26 24 nan
nan 9 9 9 10 10 11 11 11 11 10 9 7 6 5 6 6 8 9 11 12 13 14 15 14 12 10 8 8 7 7 7 8 9 9 10 10 11 11 11 11 10 11 12 13 15 17 18 18 18 17 16 14 12 11 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 9 8 8 8 7 7 7 7 8 8 9 9 10 10 9 8 9 10 11 12 10 9 9 9 9 9 8 9 10 11 12 12 12 13 13 12 11 10 10 10 11 12 13 12 12 12 12 12 11 10 7 4 2 4 7 10 12 13 13 13 13 11 10 9 10 12 13 14 13 14 14 13 12 11 11 10 10 9 7 4 2 0 -1 -2 -2 0 4 8 12 13 14 14 14 15 16 18 20 21 20 17 12 7 3 2 4 8 12 16 19 22 25 26 27 25 21 nan
nan 9 10 10 11 11 12 12 12 11 10 8 7 6 6 6 7 8 10 11 12 13 14 15 14 12 11 9 8 7 7 7 7 8 9 10 11 11 11 11 11 10 11 13 14 16 18 18 18 16 15 13 11 10 9 9 10 10 11 11 11 11 11 10 9 8 7 7 7 8 8 9 9 8 8 8 7 7 7 8 8 9 9 9 9 8 8 9 10 11 11 10 9 9 9 9 8 6 6 7 9 11 11 11 11 12 11 10 9 9 10 11 12 12 12 11 11 12 11 10 8 6 5 6 8 11 12 13 14 14 13 12 10 10 10 11 13 13 13 14 15 16 14 13 11 10 8 6 4 1 -1 -2 -2 -0 3 6 9 12 14 15 15 15 16 17 19 21 23 24 24 22 19 14 10 8 8 10 13 16 19 22 25 27 27 25 22 18 nan
nan 10 10 11 11 12 13 13 13 12 10 9 8 7 6 7 8 9 10 11 12 13 14 15 15 14 13 11 9 7 6 6 6 7 8 9 11 12 12 11 11 11 12 14 16 17 18 17 15 13 11 10 9 9 9 10 10 10 11 11 11 10 9 9 7 7 6 6 7 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 9 8 6 5 6 8 9 10 10 10 10 10 9 9 9 10 11 11 12 12 11 11 11 10 8 8 7 7 9 11 12 15 17 17 16 13 11 10 10 12 13 13 12 12 14 17 17 16 13 10 6 3 0 -1 -2 -1 0 3 8 12 16 18 18 17 17 18 19 20 21 23 24 24 24 23 21 18 15 13 11 11 14 17 20 23 26 27 26 24 21 18 15 nan
nan 10 10 10 11 12 13 13 13 12 11 10 9 8 8 8 9 10 10 11 12 13 14 16 16 15 14 13 10 7 5 4 5 6 7 9 11 12 12 12 12 13 15 16 17 17 16 15 13 11 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 8 9 10 10 9 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 8 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 9 8 9 9 10 11 12 13 17 20 19 15 12 10 12 13 14 14 13 12 12 13 15 15 14 12 7 2 0 -0 1 4 6 10 14 19 21 22 21 20 20 21 22 23 23 22 22 21 19 18 16 14 12 11 10 10 12 16 19 23 26 27 25 22 19 16 14 13 nan
nan 9 10 10 11 12 13 13 13 13 12 11 11 10 10 10 10 10 10 11 11 12 14 15 16 16 16 14 10 7 5 4 4 5 7 8 10 11 12 13 14 15 17 17 17 16 14 12 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 8 9 10 11 10 10 10 10 10 10 9 9 8 8 9 8 7 6 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 9 9 10 11 11 11 13 16 17 15 12 10 12 15 17 16 15 13 13 13 14 15 16 16 13 7 5 6 8 12 15 17 20 24 26 25 23 21 21 21 22 21 20 19 17 15 13 12 11 10 9 8 7 9 12 16 19 22 24 25 24 21 18 15 14 13 12 nan
nan 10 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 10 11 12 14 16 16 16 15 11 8 6 5 4 5 7 9 10 12 13 15 16 18 18 17 15 14 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 10 11 11 10 10 10 10 10 10 10 10 10 9 8 6 6 6 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 11 13 13 12 10 12 16 19 19 18 16 14 15 17 19 21 22 21 17 14 13 14 17 20 22 24 25 25 24 21 18 16 16 16 15 14 12 11 10 8 7 8 9 10 11 11 12 14 17 19 21 22 23 21 19 17 15 14 13 13 12 nan
nan 10 10 10 11 12 12 12 12 11 11 12 12 12 11 10 9 8 8 9 10 10 11 12 14 15 16 15 13 10 9 7 7 7 8 10 11 13 15 17 18 18 17 15 14 12 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 8 6 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 12 14 17 18 18 16 15 15 17 19 21 22 22 20 18 16 17 18 19 20 22 22 21 19 16 12 10 11 12 13 12 11 10 10 9 9 10 12 14 15 15 15 17 18 19 19 19 19 19 17 16 15 14 14 13 13 13 nan
nan 10 10 10 11 12 11 11 11 10 10 11 10 10 9 8 8 7 8 9 9 9 10 11 12 14 15 15 14 12 11 10 10 10 11 12 14 16 17 18 18 17 15 14 12 11 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 10 11 12 11 10 10 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 11 11 12 13 14 15 15 14 13 13 14 16 17 18 17 16 15 14 14 14 15 16 17 17 16 15 13 12 11 12 14 16 17 17 16 16 16 15 16 17 18 19 17 16 15 15 16 16 16 16 16 15 15 14 14 14 14 14 14 15 nan
nan 10 11 11 11 11 11 10 10 10 10 10 9 8 8 7 6 7 8 9 9 10 10 11 12 13 14 14 14 14 14 14 14 14 15 16 17 18 18 18 17 15 13 12 11 11 10 10 9 9 9 8 9 9 9 9 9 9 10 9 10 9 9 8 7 8 9 9 9 9 9 10 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 10 10 10 11 10 11 11 11 11 11 11 12 12 11 11 10 10 9 9 9 9 10 10 11 11 12 13 12 12 12 12 11 11 12 12 12 12 12 12 11 10 10 11 12 13 14 14 13 12 13 14 16 18 19 20 20 19 19 19 18 18 19 19 18 17 15 14 14 13 13 14 14 14 14 14 14 13 13 13 13 13 14 14 nan
nan 11 11 12 12 11 11 11 10 10 10 9 8 7 7 6 6 7 8 9 10 10 11 12 13 13 13 14 14 14 15 16 16 17 18 18 18 18 17 15 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 9 8 8 10 11 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 4 5 7 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 7 6 6 6 8 9 11 12 12 12 12 12 11 11 11 10 10 10 10 10 9 8 8 8 10 12 14 14 14 14 14 15 16 17 17 17 17 17 16 16 15 15 15 16 15 15 14 13 13 13 13 13 13 14 14 14 14 13 13 12 12 12 12 12 11 nan
nan 11 12 12 12 12 11 11 10 10 9 8 7 7 6 6 6 7 9 10 11 11 12 13 13 13 13 13 13 14 15 16 17 17 17 17 17 16 15 14 13 12 11 11 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 12 11 10 9 9 10 11 11 11 11 10 9 9 9 8 9 9 9 9 10 10 10 10 10 8 6 5 3 3 4 5 6 7 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 8 7 4 3 2 1 3 5 8 9 10 11 11 11 11 11 10 10 9 10 10 10 9 6 4 5 7 11 14 16 16 15 15 14 14 14 13 14 14 14 14 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 12 12 11 11 11 10 9 nan
nan 10 11 12 12 12 11 10 10 9 8 7 7 6 6 6 7 8 9 10 11 12 13 14 14 13 13 13 13 14 15 16 16 16 16 15 15 14 13 12 12 12 11 10 9 9 9 10 10 10 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 10 11 11 10 9 9 10 11 11 11 11 10 9 9 9 8 8 8 9 9 10 11 12 12 11 8 6 5 3 2 3 3 5 6 7 7 8 9 10 11 11 11 12 12 12 11 11 11 10 10 9 8 7 5 3 -0 -1 -1 1 5 7 9 9 9 9 9 9 9 8 7 6 7 8 9 8 5 1 0 4 9 15 18 17 16 14 14 13 13 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 10 nan
nan 11 12 12 12 11 11 10 9 9 8 7 7 7 7 7 8 9 10 11 12 13 14 14 14 13 13 13 13 14 15 16 16 15 14 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 9 9 9 9 10 11 12 12 11 9 6 4 3 3 3 3 3 4 5 6 7 8 9 10 11 11 11 12 12 12 11 10 9 8 7 6 4 1 -2 -3 -2 1 6 10 12 12 12 11 10 9 8 6 3 2 3 5 6 6 5 0 -2 1 8 16 22 21 17 13 12 12 12 12 12 11 12 12 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 13 13 13 13 12 12 12 12 12 12 11 nan
nan 11 12 12 12 11 10 10 9 9 9 8 8 8 8 8 9 10 11 12 13 14 14 14 13 13 12 13 13 14 15 16 16 15 14 12 12 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 7 8 8 9 9 9 9 10 11 12 13 12 11 10 9 9 9 9 9 9 9 9 7 6 5 5 5 5 5 3 2 2 3 4 6 7 9 10 10 11 11 12 12 11 9 8 6 4 1 -1 -3 -4 -2 1 6 10 12 12 13 13 13 13 11 10 7 5 4 5 7 8 7 4 0 2 10 18 26 27 21 16 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 nan
nan 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 12 13 14 15 14 14 13 13 12 13 13 14 15 15 15 14 13 12 12 11 11 11 11 10 10 9 9 9 8 8 9 9 9 10 11 11 11 10 10 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 11 12 13 13 12 11 11 10 10 9 8 7 6 5 4 4 5 7 8 9 9 7 4 3 3 3 5 6 7 8 9 10 11 12 12 11 9 7 5 2 -1 -2 -3 -1 2 6 9 11 11 11 12 12 13 13 13 12 11 11 11 12 13 12 11 8 8 13 21 27 30 26 19 14 11 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 nan
nan 11 11 10 9 9 8 8 9 9 9 10 9 9 9 9 10 11 12 13 14 15 15 14 13 13 13 13 13 14 14 14 14 14 13 13 12 12 12 11 10 10 10 9 9 9 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 10 12 13 13 13 13 13 13 13 11 9 7 5 4 4 4 6 8 10 11 11 11 10 9 8 8 8 8 9 8 8 9 10 11 12 12 11 10 7 5 3 2 2 5 7 9 10 10 11 11 11 12 12 13 13 14 14 14 15 16 16 15 14 14 16 21 25 29 26 20 15 12 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 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
886 729 610 529 461 396 331 266 210 178 187 243 312 379 425 449 445 407 380 381 377 379 386 392 392 396 417 448 499 567 642 711 752 760 774 817 870 907 950 1037 1127 1193 1271 1335 1375 1370 1311 1228 1176 1084 1013 922 834 780 745 713 682 649 626 612 609 614 607 605 603 595 579 557 538 517 467 397 345 307 282 266 250 228 204 195 165 121 82 53 23 10 3 1 1 2 3 2 1 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 0 0 0 0 0 0 0 0 0 0
777 651 547 465 401 337 281 237 211 219 272 351 379 417 442 450 440 411 383 368 355 344 337 334 334 332 342 357 387 425 466 502 533 562 600 645 672 691 710 741 807 876 974 1080 1172 1232 1249 1226 1161 1057 1001 922 833 766 706 649 618 588 564 546 542 560 571 573 575 576 574 564 543 512 455 388 340 314 300 289 272 249 178 127 77 42 25 14 5 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
707 610 517 436 378 324 281 257 254 279 342 443 442 449 448 431 408 389 368 343 320 299 282 273 271 269 278 287 305 328 351 372 392 417 442 461 468 480 491 488 511 568 646 737 824 897 937 927 883 826 780 723 664 616 573 528 531 530 528 525 529 543 546 543 540 539 545 545 525 488 430 375 324 284 251 222 199 183 98 42 12 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
686 597 508 434 384 346 319 304 301 310 340 414 486 453 428 407 381 356 332 304 277 253 232 219 214 215 223 229 239 253 267 280 294 313 326 332 337 336 327 319 335 371 411 450 493 535 551 516 491 464 440 415 394 384 384 374 419 449 476 490 494 506 517 506 489 467 460 461 447 420 374 319 257 192 128 77 58 52 23 7 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
690 600 515 448 408 389 376 365 366 371 368 371 440 421 395 365 333 306 282 252 223 200 183 172 169 170 176 181 190 201 215 226 232 246 251 255 262 261 254 253 268 290 313 309 312 324 325 299 282 268 260 252 246 249 265 284 325 364 402 425 437 454 472 451 425 378 348 340 330 312 270 207 138 77 31 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
697 610 528 464 432 440 446 408 391 395 402 410 422 400 361 317 279 249 219 187 163 147 138 135 136 138 142 148 158 173 193 208 213 226 223 219 218 214 207 203 209 225 256 255 252 252 244 229 225 229 233 230 226 226 235 257 268 291 316 337 353 367 384 377 346 297 257 234 212 180 135 83 40 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
712 630 550 484 449 466 481 429 395 388 400 416 398 356 310 264 223 190 161 136 122 114 112 113 115 117 120 124 132 142 157 171 180 193 191 181 168 153 138 126 124 138 171 193 208 220 228 230 224 217 210 206 203 199 194 197 200 204 211 221 226 224 238 250 231 198 167 139 103 50 31 14 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
736 658 584 519 478 482 486 451 411 391 388 386 363 319 271 224 180 146 124 108 99 98 100 102 104 104 103 101 99 98 98 100 104 111 112 106 90 71 53 41 36 47 72 97 121 147 175 198 205 185 163 154 150 141 127 122 126 124 124 117 100 87 88 90 93 86 71 51 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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