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 5 6 6 6 5 6 7 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 7 8 8 7 8 8 8 7 7 6 6 6 7 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 5 2 1 4 9 12 12 11 10 9 9 8 8 8 8 8 8 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 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 5 6 6 6 6 6 7 8 8 7 7 7 6 6 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 6 6 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 5 2 1 3 8 11 12 11 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 5 6 7 6 6 6 7 7 8 8 7 7 6 6 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 6 6 6 6 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 6 4 2 2 6 10 12 12 11 10 9 9 9 9 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 6 6 7 8 7 6 6 7 8 8 8 8 7 7 7 7 8 8 7 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 7 8 8 8 7 7 7 7 7 7 8 7 7 6 3 2 5 8 10 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 7 6 7 8 8 7 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 6 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 7 9 9 8 7 7 7 6 7 7 8 7 7 7 4 3 4 5 7 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 nan
nan 7 6 7 8 8 7 6 7 8 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 9 8 8 7 7 7 7 6 6 6 5 6 8 9 9 8 7 7 7 6 6 7 7 7 7 7 5 4 3 3 4 5 7 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 nan
nan 7 6 7 8 8 8 7 7 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 7 6 6 6 7 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 7 7 7 8 9 8 7 7 9 9 8 7 7 7 7 7 7 6 6 5 6 7 9 9 8 7 7 7 7 6 6 6 7 7 7 6 5 4 3 2 3 4 6 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 5 5 7 8 8 8 8 8 7 6 5 5 6 7 7 7 7 8 8 9 10 10 9 7 6 5 6 8 9 10 10 10 9 9 9 9 9 9 8 7 7 7 8 9 8 7 6 7 8 9 9 8 8 8 8 8 7 6 6 7 8 7 7 6 5 5 6 8 8 8 7 7 7 6 6 6 6 6 7 7 6 6 6 5 3 2 2 3 4 6 7 9 11 12 11 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 4 3 3 5 6 8 8 8 6 5 4 5 6 7 8 8 8 8 8 8 10 11 11 9 7 6 6 7 8 9 10 9 8 7 7 8 9 9 8 7 6 7 8 8 8 7 6 7 8 9 9 9 9 8 8 8 7 6 6 7 8 8 7 7 6 6 6 7 8 8 8 7 6 6 6 6 5 6 6 7 6 7 6 6 5 4 3 2 1 2 4 6 10 13 12 11 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 4 1 1 2 5 7 8 8 6 5 5 5 6 7 8 9 9 8 7 8 10 11 12 11 9 7 7 7 7 9 9 8 6 5 5 7 8 9 8 7 7 7 8 8 7 6 6 7 8 8 8 9 8 8 8 8 8 6 5 6 7 7 7 8 8 7 6 6 6 8 8 7 6 6 6 6 5 6 7 7 7 7 7 6 6 5 4 3 2 2 2 4 8 11 12 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 5 5 2 -0 1 4 6 8 7 6 6 7 7 7 7 9 10 11 9 8 8 9 11 12 11 10 9 8 8 8 9 9 7 5 4 5 7 7 8 8 7 7 7 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 6 5 6 7 7 8 9 9 9 7 5 6 7 8 7 7 6 6 6 5 6 7 7 7 6 6 7 6 6 5 5 5 4 3 2 5 8 10 11 11 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
nan 4 6 5 2 2 4 6 7 7 7 7 7 7 8 8 9 11 11 10 9 8 9 9 10 10 9 9 8 8 8 8 8 7 5 5 6 7 7 7 7 7 7 7 8 8 8 7 7 6 7 8 8 7 7 7 7 8 8 7 6 6 7 7 8 9 9 9 8 6 6 7 7 7 7 6 6 5 5 6 7 7 6 6 7 7 6 6 6 7 7 6 4 3 3 4 6 8 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 nan
nan 3 6 7 5 4 5 6 7 7 8 8 8 7 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 8 8 8 7 6 6 6 7 7 7 7 7 8 8 8 9 9 8 7 6 8 9 9 7 6 6 6 6 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 6 6 5 6 6 7 7 6 6 7 7 7 7 7 7 8 7 5 4 3 3 4 5 7 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 2 4 6 7 8 8 8 8 8 8 9 9 8 9 9 10 9 7 6 6 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 7 8 10 9 8 7 5 5 6 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 6 6 6 5 6 7 8 7 6 6 7 7 8 8 7 7 8 7 6 5 5 4 3 3 4 6 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 4 3 5 8 9 10 9 10 10 9 9 10 9 10 10 10 8 5 5 6 7 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 9 9 9 8 6 5 6 7 7 7 7 7 7 7 8 8 8 9 9 9 7 6 6 6 6 5 6 7 8 8 7 7 7 7 8 8 8 7 7 7 7 7 6 6 5 4 3 3 4 6 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 4 5 8 10 10 9 10 11 11 11 11 11 11 11 10 6 5 6 8 9 9 8 9 9 9 9 9 9 8 8 7 7 8 8 7 7 6 7 7 7 8 8 8 7 8 8 8 8 8 8 9 9 9 7 6 6 7 7 8 8 7 7 7 7 7 8 9 9 8 7 6 6 6 6 6 6 7 8 8 7 7 7 8 9 9 7 6 6 6 7 7 7 6 6 5 4 4 4 5 7 8 9 9 8 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 5 5 7 8 9 8 9 11 12 13 13 14 14 13 10 7 6 8 10 10 10 9 10 10 10 10 10 9 9 9 8 7 7 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 9 10 9 7 6 6 7 8 8 8 7 7 7 7 7 8 9 9 8 6 7 7 8 7 6 6 7 7 8 7 7 7 8 8 8 7 6 6 7 7 7 7 6 6 6 5 5 4 4 6 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 5 4 5 7 8 8 9 10 12 13 15 17 17 15 10 7 7 9 10 11 11 10 10 10 10 10 10 10 10 10 8 6 6 8 8 8 7 7 8 8 8 9 8 8 7 7 7 8 8 8 9 9 9 7 6 7 7 8 8 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 7 6 6 6 6 6 5 5 4 5 6 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 3 2 3 5 7 8 9 9 9 11 13 16 17 15 10 7 7 8 9 10 10 10 9 9 9 10 10 10 10 9 8 6 6 7 7 7 7 7 8 9 8 8 8 8 8 7 7 8 8 9 10 9 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 5 3 3 4 6 6 6 7 7 7 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 6 7 6 6 6 5 nan
nan 5 3 1 1 2 4 6 7 7 8 9 11 13 14 12 8 6 6 7 8 8 9 9 8 8 9 10 10 9 9 9 8 7 7 7 7 7 7 7 9 9 8 8 8 8 8 7 7 8 9 10 10 10 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 7 7 6 6 6 7 8 8 9 9 9 8 8 8 7 7 6 6 6 6 7 5 3 3 3 4 4 3 3 4 5 7 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 nan
nan 6 3 1 -1 -0 2 4 5 6 7 8 9 10 10 8 5 5 6 7 7 8 8 8 8 7 8 9 10 9 8 8 8 7 7 6 7 7 6 7 8 9 8 8 8 8 7 7 8 8 9 10 11 10 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 8 8 8 7 6 6 7 8 9 10 10 9 8 8 8 7 7 6 6 6 7 7 5 4 4 4 3 2 1 -0 0 2 4 7 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 5 nan
nan 6 4 1 -2 -1 2 4 5 6 7 6 7 8 8 6 3 4 6 7 7 7 8 8 7 6 7 8 9 9 8 9 9 8 7 6 5 5 6 7 8 9 8 7 7 8 8 8 8 9 10 10 10 9 8 8 7 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 7 7 7 8 9 10 10 9 8 7 7 7 7 6 6 7 9 8 6 5 5 5 3 2 2 1 0 1 3 6 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 5 nan
nan 7 5 2 -2 -3 1 5 6 7 7 6 6 7 8 4 1 3 5 7 7 7 8 9 8 6 6 7 8 8 8 9 9 9 7 6 5 5 4 6 8 10 10 9 8 9 9 10 9 9 10 10 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 9 8 8 8 8 9 10 10 8 7 7 7 7 6 6 7 8 9 8 7 6 6 5 4 4 4 4 3 3 3 4 6 7 7 8 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 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 nan
nan 7 7 4 0 -2 -0 4 7 8 9 9 8 8 6 3 0 2 5 7 8 8 8 9 8 6 6 7 8 8 7 8 8 8 7 6 6 6 5 5 7 9 11 10 10 10 11 11 10 10 9 9 8 8 8 8 8 9 8 8 7 8 8 8 8 7 7 6 7 7 7 6 6 7 8 8 8 7 7 7 8 8 8 8 8 8 9 10 10 8 7 7 6 6 6 6 7 9 9 8 7 7 6 5 4 5 6 6 6 5 4 3 4 5 6 7 7 7 7 6 6 6 6 6 6 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 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 nan
nan 7 7 6 3 -0 -0 3 7 9 11 12 11 8 6 2 0 1 4 7 8 8 8 8 6 5 5 7 9 9 7 8 8 7 6 6 7 8 7 5 5 7 9 10 10 11 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 6 6 7 7 8 8 8 7 7 8 8 8 8 8 8 9 10 10 9 8 6 5 5 5 6 8 9 8 8 7 7 6 5 5 5 6 7 7 6 5 3 3 3 4 5 6 7 7 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 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 8 8 7 4 1 0 3 6 10 13 14 12 9 7 4 2 1 3 6 8 8 8 8 7 6 6 8 9 8 7 7 7 7 6 5 7 9 9 7 6 5 5 7 8 10 11 12 12 11 10 8 7 7 7 7 7 7 7 7 7 8 9 9 10 9 8 7 7 6 6 5 5 6 7 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 8 7 5 5 5 7 9 9 8 7 7 7 6 6 5 6 6 7 7 6 6 5 4 4 4 4 4 5 6 6 6 6 6 6 7 7 7 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 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 10 9 8 5 1 -1 2 5 8 11 12 11 9 9 8 4 2 3 6 7 7 8 9 9 9 8 9 8 6 6 6 6 6 6 6 7 9 10 9 7 5 3 4 6 7 9 11 12 12 10 8 7 6 6 7 7 6 6 6 6 7 7 8 9 9 9 9 9 8 6 5 4 5 6 7 8 8 8 8 8 8 7 8 8 8 8 9 8 8 7 7 6 6 7 8 8 8 8 7 7 7 6 5 5 6 7 7 7 7 6 6 6 6 5 3 3 4 5 5 5 5 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 nan
nan 10 9 8 7 3 -1 -0 3 5 7 9 9 9 11 11 7 4 4 6 7 7 8 10 12 11 10 10 9 8 7 6 6 5 6 5 5 7 9 10 10 7 5 4 5 6 8 9 10 11 10 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 10 9 8 7 5 4 5 6 8 8 8 7 8 8 7 7 8 8 8 8 7 6 6 7 7 8 8 8 8 7 7 7 7 6 5 5 5 6 7 7 7 7 7 7 7 7 6 5 4 4 4 5 5 5 5 5 6 7 8 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 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 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 nan
nan 8 7 8 8 4 0 0 2 3 4 5 7 9 11 12 9 7 6 6 7 7 8 11 12 12 11 10 10 10 9 8 6 6 6 4 4 5 8 9 9 8 7 6 6 7 7 8 9 9 8 6 5 5 6 7 7 7 7 7 6 5 5 5 5 6 7 9 10 10 10 9 7 5 4 6 8 8 8 8 8 8 7 7 8 9 9 8 6 5 5 6 8 9 9 9 8 7 7 7 6 5 5 5 6 7 8 7 7 7 7 6 7 7 7 6 6 5 5 5 5 5 5 5 6 7 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 6 5 6 7 5 2 2 2 2 2 3 6 8 10 11 10 8 7 7 8 8 8 10 11 11 10 10 12 13 12 9 7 7 6 4 3 4 6 7 8 8 8 8 8 8 8 8 9 8 6 5 5 5 6 7 8 7 7 7 7 7 6 6 5 5 6 7 8 10 11 11 9 7 5 6 7 8 8 8 8 8 7 6 8 10 10 8 6 4 4 6 8 9 9 9 8 8 7 7 6 5 5 5 7 8 8 7 7 6 6 7 7 7 7 7 7 7 7 6 6 7 7 6 6 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 6 5 5 6 6 5 5 4 2 1 2 4 7 9 10 10 9 8 8 8 8 8 9 10 10 10 10 12 14 13 11 9 7 6 4 3 3 4 5 7 9 9 9 10 9 8 9 9 8 6 4 4 6 7 8 9 8 8 7 7 8 8 7 6 6 6 6 8 10 11 12 11 9 7 6 7 8 8 9 9 8 7 7 8 10 10 8 6 4 4 6 7 8 8 8 8 8 8 7 7 6 6 7 8 8 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 nan
nan 7 6 5 6 8 8 7 6 3 1 2 3 4 6 9 11 10 7 6 6 7 7 7 8 8 8 9 11 12 13 12 10 8 7 6 5 4 4 4 6 8 9 10 11 11 9 9 10 8 6 4 4 6 7 9 9 8 7 7 7 8 8 8 7 7 7 8 9 10 11 12 12 11 9 8 7 7 7 8 8 8 8 8 9 10 10 9 7 5 4 5 6 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 8 9 8 8 8 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 nan
nan 8 7 7 8 9 9 8 7 6 4 3 2 3 5 8 11 11 8 4 4 5 6 6 7 8 8 8 8 9 11 11 10 8 8 8 7 5 3 3 5 7 9 10 11 10 10 10 10 9 7 5 5 6 7 7 7 7 7 6 7 7 8 8 7 7 8 10 11 12 12 12 12 12 11 10 8 7 6 6 7 7 8 9 9 9 10 10 9 6 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 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 8 8 8 8 8 nan
nan 8 7 8 9 10 10 9 8 7 6 4 3 3 5 8 11 11 9 5 4 4 5 7 8 9 10 8 7 7 8 9 9 8 8 8 7 6 4 4 4 6 7 8 8 9 9 10 11 10 9 7 5 5 5 5 5 5 5 6 7 8 8 8 7 7 8 11 13 14 14 13 12 11 12 12 11 9 8 6 5 5 7 8 9 9 9 10 10 7 5 4 5 6 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 10 10 10 9 8 7 6 5 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 6 6 6 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 nan
nan 9 8 8 9 10 10 9 9 8 6 5 5 5 6 8 10 11 10 7 5 4 6 8 10 10 10 10 9 7 7 8 9 8 7 7 7 7 7 5 3 4 5 6 6 7 8 9 11 12 11 9 5 3 3 3 3 3 4 6 7 8 8 8 7 7 8 11 14 15 15 13 11 11 11 12 12 12 10 8 6 5 5 7 9 10 9 9 8 6 5 5 6 6 7 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 6 6 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 nan
nan 10 9 9 9 9 9 9 9 8 6 6 8 8 7 8 8 9 9 7 5 5 7 8 9 10 10 11 10 8 6 7 9 9 8 7 7 9 10 7 3 1 2 4 6 6 6 7 9 12 14 12 7 3 1 1 1 1 3 5 6 6 6 6 6 7 8 11 14 14 13 12 11 10 10 11 12 12 12 11 8 6 6 8 10 10 9 7 5 5 5 5 6 7 8 8 7 7 8 9 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 6 5 3 2 2 3 4 5 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
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nan 10 11 10 9 8 7 7 7 8 8 8 7 7 7 7 6 4 3 4 5 6 7 7 8 9 10 12 12 11 9 8 8 8 8 8 8 9 12 12 8 3 0 1 5 7 7 6 6 9 12 14 13 10 8 7 6 2 0 1 2 2 2 3 5 9 12 14 13 10 7 7 9 9 10 10 10 11 12 12 11 9 8 8 10 10 9 7 6 6 6 4 4 5 6 6 6 5 6 7 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 9 8 7 5 3 1 2 4 5 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 11 11 10 10 9 8 7 6 7 8 8 7 6 6 6 5 3 1 2 4 6 7 7 7 9 11 12 12 11 10 9 7 7 7 7 6 8 11 13 12 7 4 3 4 5 6 7 6 7 9 12 12 12 11 12 11 7 3 2 2 2 3 4 7 11 13 14 11 8 5 6 7 8 9 9 10 10 11 12 12 11 11 10 10 9 8 8 8 9 7 5 5 5 6 5 5 4 5 6 8 9 9 8 8 9 9 9 8 9 9 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 7 5 2 3 4 5 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 nan
nan 11 11 11 10 10 9 8 7 7 7 7 7 7 6 6 5 4 2 1 2 4 6 7 7 8 9 10 10 10 10 10 8 7 7 7 6 6 9 12 12 10 8 6 4 4 7 7 5 5 7 9 10 11 12 13 12 9 6 4 3 2 2 4 7 10 11 11 8 5 4 5 6 7 7 8 9 10 10 11 12 12 13 13 12 9 8 8 10 11 10 8 7 7 7 7 6 4 4 5 6 7 8 7 8 9 9 9 8 9 9 8 8 7 7 6 6 6 6 7 8 8 8 7 7 7 7 8 7 6 4 4 5 5 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
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nan 11 11 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 11 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 11 12 11 10 9 8 9 9 10 9 8 8 7 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 10 9 9 8 8 7 6 6 6 6 7 8 8 8 7 7 8 9 10 10 11 11 12 12 12 11 11 11 11 10 10 9 10 12 13 13 12 11 11 11 13 15 16 17 17 17 17 17 17 18 18 18 18 17 15 13 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 nan
nan 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 9 9 8 7 7 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 9 9 9 10 10 10 11 11 12 13 13 12 11 11 12 12 12 11 11 10 10 11 12 13 13 13 13 12 11 12 14 15 17 18 17 16 14 12 11 12 12 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 8 7 7 7 8 8 7 7 7 6 6 6 6 7 7 8 9 9 10 11 11 10 8 7 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 9 9 9 9 9 9 10 11 12 12 13 12 12 12 12 11 10 10 10 10 10 11 11 11 10 10 9 8 7 7 7 8 9 10 9 8 8 10 13 14 13 11 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 nan
nan 11 11 11 12 12 12 12 12 12 12 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 10 9 8 7 6 6 7 7 8 8 7 7 7 7 7 7 7 7 8 9 10 11 11 11 11 9 8 6 5 5 6 7 7 8 8 9 9 9 9 10 10 10 9 9 9 9 10 10 11 11 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 10 7 6 4 3 2 3 5 9 12 13 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 11 11 11 12 12 12 12 12 11 11 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 7 6 6 6 6 7 8 8 8 8 8 7 7 8 9 10 9 9 8 9 9 10 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 9 9 9 10 10 12 12 11 11 10 10 10 9 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 10 11 11 12 12 14 15 16 16 16 14 12 10 9 8 9 11 13 12 11 11 12 13 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 13 13 13 12 12 12 nan
nan 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 7 6 6 6 6 7 9 9 8 8 8 9 9 9 10 10 11 10 8 7 6 7 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 10 11 12 13 14 14 15 16 18 19 18 18 18 19 20 21 21 19 17 17 18 18 17 16 16 15 15 14 14 14 16 18 19 19 17 15 14 14 13 13 12 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 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 10 11 11 10 10 9 9 8 8 7 7 7 7 6 7 9 9 9 9 9 10 10 10 10 10 9 8 6 5 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 13 14 16 17 18 19 20 21 22 22 21 21 21 22 22 22 22 21 19 18 17 17 17 19 21 22 20 18 15 14 13 13 12 12 11 11 nan
nan 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 8 7 6 6 5 5 5 6 7 8 9 11 11 11 11 10 8 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 9 9 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 15 15 15 15 15 16 17 18 19 20 21 22 22 21 21 22 21 20 19 18 17 16 16 16 15 14 13 13 12 11 11 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 8 9 10 12 14 14 13 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 8 6 5 4 4 3 3 2 2 3 5 8 11 11 11 10 9 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 9 9 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 7 7 7 8 9 10 10 10 9 9 9 8 8 9 9 10 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 12 13 14 15 16 17 19 21 22 22 21 18 16 14 15 18 19 19 17 15 13 11 10 9 nan
nan 12 12 12 12 11 11 11 10 10 10 9 9 9 10 10 10 10 10 9 8 8 8 9 11 14 17 18 18 17 15 14 12 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 8 8 7 6 5 5 5 5 5 4 3 2 2 3 6 9 10 10 10 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 7 7 6 6 6 6 5 5 6 7 8 8 8 8 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 11 12 14 16 17 18 19 18 17 16 16 17 17 16 14 12 9 8 7 6 nan
nan 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 10 12 15 18 19 18 17 17 16 16 14 13 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 11 9 8 8 8 9 9 9 10 10 11 12 12 11 9 7 6 5 7 8 9 10 10 9 8 8 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 9 8 8 7 6 5 5 5 6 6 5 5 5 7 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 11 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 10 10 11 12 13 13 15 16 15 13 10 7 6 5 4 3 3 4 4 4 nan
nan 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 10 12 15 18 19 17 15 14 14 14 15 15 15 13 12 10 8 8 8 8 8 9 9 10 10 9 9 8 8 7 7 7 8 9 9 9 10 10 10 11 11 11 10 10 9 10 11 12 14 15 16 16 17 17 18 17 15 13 10 9 9 9 9 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 9 10 10 9 9 9 9 9 9 9 8 6 4 3 3 3 5 6 7 7 8 9 10 10 9 8 8 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 12 13 12 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 10 7 3 -0 -2 -2 -1 -1 1 2 4 4 nan
nan 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 13 15 17 16 14 12 12 12 12 13 14 14 14 12 10 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 11 11 11 11 12 12 13 13 15 16 16 16 16 16 15 14 13 11 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 8 7 6 4 4 4 5 6 7 9 10 11 12 12 11 9 8 8 9 9 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 11 10 10 10 10 10 9 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 8 6 3 1 -0 -0 -0 0 2 3 4 5 6 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 14 16 16 14 13 12 11 11 11 11 11 12 12 11 10 9 8 8 8 9 8 8 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 9 8 7 7 7 8 8 8 9 10 11 12 12 12 11 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 11 11 10 9 8 8 9 9 10 11 12 12 11 10 10 10 10 10 10 11 10 9 8 7 6 4 1 -1 -1 1 2 3 4 5 6 7 7 8 nan
nan 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 14 15 17 16 14 12 11 10 10 9 9 9 9 10 11 10 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 11 10 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 11 10 10 8 8 8 8 9 9 9 9 8 8 8 9 10 10 10 9 10 10 11 11 10 9 9 9 10 10 10 9 9 8 7 7 7 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 9 10 9 10 11 12 12 11 11 10 10 10 10 10 10 10 9 9 8 6 3 -0 -2 -2 0 3 5 6 7 7 8 9 9 9 nan
nan 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 13 13 15 17 17 15 13 11 10 9 9 8 8 8 8 10 11 11 10 9 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 9 10 10 10 10 10 11 11 11 10 9 8 7 6 6 7 7 7 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 7 6 6 7 7 7 7 7 8 8 8 7 7 7 8 9 8 7 6 7 8 8 9 10 10 10 9 8 7 7 7 6 5 5 6 7 8 8 7 7 7 7 6 6 5 5 6 8 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 7 4 2 2 4 6 7 8 9 9 9 9 9 9 10 nan
nan 11 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 12 12 12 13 14 15 14 13 11 10 9 9 8 8 8 7 8 10 11 12 11 9 7 7 8 9 10 10 10 11 11 12 12 13 13 12 12 12 11 10 9 9 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 7 7 7 6 6 5 5 5 6 6 6 5 5 5 5 7 8 8 7 6 6 6 7 7 7 8 9 9 9 9 10 10 9 7 7 9 10 11 11 10 10 8 7 6 5 5 5 5 7 8 10 11 11 10 10 10 10 10 10 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 9 9 9 9 9 nan
nan 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 9 9 8 8 8 8 8 8 10 12 13 13 11 9 8 9 9 9 9 10 11 12 13 13 13 12 12 11 11 10 9 8 8 8 8 8 9 9 8 8 7 6 6 6 6 7 7 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 6 6 7 6 6 6 5 5 6 5 5 5 7 9 10 11 10 8 7 7 8 8 8 8 8 8 9 10 11 12 11 9 8 8 9 10 11 11 10 9 7 5 4 4 4 5 6 8 10 12 11 11 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 11 13 15 17 17 15 13 11 10 9 9 8 8 8 9 9 nan
nan 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 8 8 8 9 9 9 8 8 8 8 8 9 10 12 14 15 13 11 10 10 10 11 11 12 12 12 12 12 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 6 6 5 6 7 7 8 8 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 10 11 12 11 10 9 9 9 10 10 10 10 9 9 10 11 11 10 8 7 7 8 8 8 8 8 7 5 3 2 2 4 5 6 8 10 12 12 12 11 11 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 11 12 14 15 14 12 10 8 8 8 8 8 8 8 9 9 9 nan
nan 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 11 12 13 13 12 11 11 12 12 12 12 11 11 10 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 7 6 6 6 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 8 8 9 9 9 9 8 7 8 9 10 10 11 11 10 10 9 9 8 7 6 6 7 8 9 8 8 6 5 4 3 3 3 5 6 7 9 10 12 12 12 11 11 11 10 11 10 11 11 11 10 10 10 10 10 9 9 10 10 10 11 12 13 11 8 6 5 6 8 8 8 8 9 9 9 9 10 nan
nan 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 6 6 7 7 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 9 9 8 8 7 6 7 8 9 10 10 10 10 10 10 9 9 7 6 6 8 9 10 10 9 8 6 4 4 6 7 9 9 9 9 10 12 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 9 7 7 7 9 9 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 6 5 4 5 6 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 8 9 11 13 14 15 15 13 13 13 13 13 12 12 11 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 12 13 13 11 11 11 10 10 10 10 10 10 nan
nan 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 5 5 5 6 6 6 6 7 8 8 8 7 6 5 4 5 6 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 7 7 6 6 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 10 11 11 10 10 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 9 10 10 11 12 13 14 16 16 15 13 12 11 10 10 11 12 15 16 17 17 17 17 16 15 14 13 12 12 12 12 11 10 9 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 11 13 14 15 14 13 11 11 11 11 11 10 10 10 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 7 6 5 6 6 7 8 8 9 9 7 6 3 2 3 6 9 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 6 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 11 12 12 11 10 9 8 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 6 5 4 4 4 4 5 6 8 10 12 13 14 15 15 16 15 14 13 12 12 13 14 15 16 15 15 14 14 14 13 13 12 12 12 12 12 11 11 10 9 8 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 11 12 13 14 14 13 13 12 11 11 11 10 10 10 nan
nan 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 8 7 6 7 7 7 8 8 8 8 6 4 2 3 5 9 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 10 11 12 12 12 11 10 9 8 7 7 7 7 7 7 7 7 6 6 6 5 5 4 3 2 1 1 1 1 1 -0 0 1 3 5 8 10 11 11 12 12 13 14 13 14 14 15 15 14 13 12 11 10 10 10 10 10 11 11 11 12 12 12 11 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 14 15 14 14 12 11 11 11 11 10 10 nan
nan 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 10 11 11 10 9 8 7 7 7 8 8 8 7 7 5 4 4 7 10 11 11 9 8 8 8 9 9 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 10 11 12 13 12 11 10 9 9 9 9 9 9 9 9 9 8 8 7 6 6 5 4 3 2 2 2 3 3 3 3 2 2 1 -0 -0 1 1 2 4 7 9 11 11 12 12 12 13 13 12 11 11 10 9 9 9 9 9 10 10 10 11 12 13 12 11 11 10 10 10 9 10 10 10 9 9 9 10 10 10 10 10 11 11 10 10 10 10 11 13 14 14 14 12 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 10 11 11 12 13 13 13 11 9 8 8 8 8 8 8 7 7 6 6 7 10 11 11 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 10 11 12 13 13 11 10 9 8 8 8 9 10 11 11 12 12 11 11 10 10 9 8 7 6 5 5 6 6 7 8 8 8 8 7 7 6 4 2 1 1 3 6 9 11 11 11 11 11 11 11 10 10 10 9 9 8 8 9 9 9 9 10 10 11 12 12 12 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 12 13 13 12 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 13 13 14 13 13 11 10 9 9 9 9 9 8 7 7 6 7 8 10 9 9 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 9 10 10 10 11 11 12 13 14 13 12 11 9 8 7 7 8 9 10 11 12 13 14 14 13 13 12 12 11 11 11 11 10 11 11 11 11 11 11 11 12 12 13 13 12 10 9 9 10 11 11 11 11 10 10 10 10 10 11 11 10 9 9 8 8 8 9 9 9 9 10 11 12 12 12 11 11 11 10 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 11 11 10 10 10 11 13 14 14 15 16 17 17 16 15 nan
nan 9 9 8 8 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 9 9 9 9 9 8 8 7 6 6 7 8 8 8 8 8 9 10 10 9 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 9 10 11 12 13 14 15 15 15 14 12 10 9 7 7 7 8 9 10 10 11 12 12 13 14 15 15 15 15 15 15 15 15 15 15 15 14 14 14 15 15 16 17 17 17 17 17 17 16 15 12 10 9 8 8 8 9 10 11 11 11 10 9 9 8 8 8 9 9 9 10 11 12 12 12 12 11 11 11 10 9 8 8 9 10 10 10 11 11 12 12 13 13 12 12 11 11 10 10 10 11 13 14 17 20 22 23 22 21 20 nan
nan 9 9 9 9 9 10 11 11 12 12 13 13 13 13 13 13 13 13 14 14 13 12 11 9 8 8 8 8 8 7 7 6 5 6 7 7 8 8 9 9 9 8 8 8 7 7 7 6 6 6 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 9 11 13 15 16 16 15 14 13 11 10 8 7 7 7 8 9 10 10 10 10 10 11 12 13 14 15 16 17 17 18 18 18 18 17 17 17 17 18 19 20 20 20 20 20 19 19 19 18 16 13 10 8 7 7 8 10 11 11 11 10 10 9 9 9 9 9 9 9 10 11 12 13 13 12 12 12 11 11 10 9 8 9 9 10 10 10 11 11 12 13 13 13 12 12 11 11 11 10 10 11 12 13 17 21 23 23 23 23 24 nan
nan 11 11 11 10 10 10 11 12 13 13 13 14 15 16 17 18 18 18 18 17 15 13 11 9 7 7 6 7 7 6 5 4 4 4 5 6 8 9 9 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 11 13 14 16 16 15 13 12 10 9 9 8 7 7 8 9 10 11 11 11 10 10 10 10 11 12 13 14 15 15 16 16 17 17 17 18 19 19 20 20 20 20 20 20 20 19 19 19 19 18 16 12 10 8 8 10 11 12 12 11 10 10 9 9 9 9 9 10 10 11 12 12 13 13 12 12 12 12 11 10 9 9 9 9 10 10 10 11 12 12 13 13 12 11 11 11 11 10 10 10 10 10 12 14 16 17 18 19 21 24 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
31 33 32 33 32 28 27 26 25 24 27 29 29 31 34 34 27 15 24 63 84 71 50 32 18 8 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 1 1 2 2 3 4 5 6 6 6 7 8 8 8 7 7 7 7 6 6 6 6 6 6 7 6 6 5 5 5 4 3 2 2 2 4 5 4 3 3 3 3 2 2 2 2 2 2 2 1 1 2 2 1 1 1 1 1 1 0 0 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0
17 16 16 18 20 18 18 18 17 14 13 12 12 14 17 22 15 6 3 28 52 50 35 19 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 1 1 2 4 6 7 7 5 6 6 7 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 6 6 6 5 4 4 2 1 2 4 4 4 4 3 3 3 3 3 3 2 2 1 1 2 2 2 2 1 1 1 1 0 1 1 1 1 1 1 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
19 18 18 15 13 12 13 13 13 10 8 6 6 7 6 7 6 4 3 16 34 35 20 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 1 1 2 5 7 8 8 7 6 6 7 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 5 5 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1
38 37 32 21 14 11 10 10 9 7 6 5 6 6 7 6 5 4 11 24 30 22 11 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 1 2 3 4 7 7 7 7 7 7 8 9 9 9 9 8 7 6 7 7 7 7 6 5 6 5 5 5 5 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 0 0 1 0 0 0 1 1 1 1 1 1 1
64 60 47 29 18 12 9 7 7 6 6 6 6 6 7 6 5 4 7 17 22 13 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 1 2 2 5 6 5 5 5 5 6 7 8 7 8 9 8 6 7 7 7 7 6 5 5 5 4 5 5 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
78 72 55 36 23 15 10 7 6 6 6 6 6 6 6 6 5 4 10 18 18 11 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 1 1 2 3 4 4 4 5 5 5 5 6 5 6 7 6 7 7 7 7 7 6 5 5 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 3 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1
77 72 56 36 27 20 12 8 6 6 6 6 7 7 7 6 6 6 13 21 17 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 1 1 2 3 4 4 4 5 5 5 5 5 5 5 6 6 7 8 8 7 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 3 2 2 2 1 2 2 2 3 3 2 2 2 2 2 2 2 3 3 3 2 2 1 1 1 1 1 1 1 2 2 1 2 1 1 1 1
66 61 49 34 29 23 13 8 6 6 6 6 6 7 9 11 14 18 23 24 16 6 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 1 1 2 2 3 3 4 4 4 5 5 5 6 7 7 7 7 7 7 6 5 4 4 4 4 4 4 3 3 3 3 3 2 1 2 3 3 3 3 3 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 1 1 1 1 1 2 2 2 2 1 2 2 2 2 2
52 45 38 30 26 20 12 7 5 6 10 16 23 27 29 34 40 42 38 28 15 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 1 1 1 2 2 2 3 4 4 5 5 6 6 6 6 6 5 5 4 5 5 4 3 3 3 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 3 3 2 2 1 2 2 2 2 1 2 2 3 3 3 3 3 3 3 2 1 1 1 1 1 2 2 3 2 3 3 3 2 2 2 2
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