Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 10 10 10 10 10 9 9 9 8 9 9 10 11 11 12 12 13 12 11 10 10 9 9 8 8 8 9 10 10 11 11 11 10 10 9 9 9 9 9 8 8 8 7 7 8 8 8 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 10 11 11 12 12 12 11 10 9 8 7 7 7 8 9 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 8 7 7 9 10 12 12 10 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 8 10 11 10 9 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 9 10 10 11 11 10 10 10 10 10 11 nan
nan 9 9 9 10 10 9 9 9 8 8 8 8 9 10 10 11 11 12 12 11 11 10 9 9 9 9 9 8 9 10 10 11 11 10 10 9 9 9 9 8 8 8 8 7 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 11 11 12 12 12 12 11 9 8 7 7 7 8 9 10 10 9 9 9 9 9 8 8 8 8 9 10 9 9 9 9 10 10 10 10 9 8 7 8 9 11 12 12 11 9 8 8 9 10 11 11 11 10 9 9 10 10 10 11 11 11 10 9 9 8 8 7 8 8 9 10 10 11 10 10 10 9 8 6 6 7 8 9 8 8 7 8 9 9 9 8 8 8 8 8 7 6 6 6 6 6 6 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 10 nan
nan 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 10 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 11 12 12 12 12 12 10 8 7 7 7 7 8 9 10 9 9 9 9 9 8 8 8 8 9 10 9 9 9 9 9 9 10 10 9 9 8 9 9 11 12 12 11 9 8 8 9 10 10 11 11 10 10 10 10 10 10 10 10 11 10 10 9 9 8 8 8 9 10 11 12 13 13 12 12 10 9 7 7 8 8 7 7 7 8 8 9 9 8 7 7 7 8 8 7 6 6 6 6 7 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 9 nan
nan 10 10 10 9 8 8 7 7 7 7 8 8 9 10 10 11 11 10 10 9 9 9 9 10 10 9 9 9 9 10 10 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 6 6 7 7 8 9 9 10 10 10 10 11 11 12 12 12 12 10 9 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 10 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 12 13 13 14 13 11 10 9 9 9 8 7 6 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 10 11 10 10 9 9 9 9 8 8 9 10 10 10 10 9 9 8 8 nan
nan 11 10 10 9 8 7 7 7 7 7 7 8 9 10 11 11 11 10 9 9 8 9 9 9 9 9 8 8 9 10 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 6 6 6 7 8 9 10 10 10 10 10 10 10 11 12 12 12 12 10 9 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 10 10 10 9 8 7 8 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 12 12 12 11 10 10 11 12 12 12 12 11 11 10 10 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 9 9 8 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 7 nan
nan 10 10 9 9 8 7 7 7 7 7 7 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 10 9 9 8 8 7 7 7 8 9 9 9 9 9 8 8 7 7 6 6 6 7 8 9 9 9 9 9 9 9 10 11 11 12 12 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 9 10 9 8 7 7 6 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 11 12 11 10 10 9 9 9 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 9 9 10 9 9 9 10 11 10 8 8 8 8 9 10 11 11 11 11 10 10 10 11 11 11 11 11 11 10 8 7 nan
nan 10 9 9 8 7 7 6 6 6 6 7 8 9 10 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 10 11 11 12 12 12 11 10 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 7 6 6 6 6 7 8 9 9 8 8 8 8 9 9 10 11 11 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 7 8 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 9 10 10 10 10 9 8 8 8 8 8 9 10 10 11 11 11 11 9 8 8 8 9 9 9 8 9 10 10 10 9 9 10 10 10 9 8 8 9 9 10 12 12 12 11 11 11 11 12 12 12 11 11 11 11 10 9 8 nan
nan 9 9 8 8 7 6 6 6 6 6 7 8 9 10 10 10 10 9 9 9 9 10 10 11 10 10 9 8 8 9 9 10 11 13 13 12 11 9 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 7 7 7 7 8 9 9 10 11 11 11 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 7 8 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 8 9 10 11 11 11 11 11 10 9 8 8 9 9 10 9 9 9 9 9 9 9 8 9 9 8 8 8 9 10 11 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 10 10 9 nan
nan 9 8 8 7 7 6 6 6 6 7 7 8 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 7 7 7 8 9 11 12 13 12 11 10 9 8 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 7 7 8 9 10 10 11 11 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 7 7 6 6 7 7 7 7 7 8 9 9 9 9 9 8 9 9 10 10 10 10 10 10 9 8 8 8 8 8 7 7 8 8 9 10 10 10 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 7 6 6 7 9 11 11 11 12 12 12 12 11 11 11 11 12 12 11 11 12 12 11 10 9 nan
nan 9 8 7 7 7 7 6 6 7 7 8 8 9 9 10 10 10 10 9 9 9 9 8 8 9 9 8 7 6 6 6 6 6 8 10 11 12 12 10 9 8 8 8 9 9 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 6 6 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 7 7 6 6 7 7 7 7 8 9 10 9 9 9 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 7 7 6 6 8 9 10 11 11 11 12 12 12 11 11 12 12 12 11 10 11 11 12 11 10 9 nan
nan 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 8 8 7 6 6 5 6 7 8 9 10 10 9 9 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 8 8 9 10 11 11 10 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 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 8 7 6 7 8 10 10 10 10 10 11 11 12 12 12 13 13 13 12 11 10 10 10 9 9 8 nan
nan 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 7 7 6 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 11 11 12 12 11 11 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 10 12 12 11 10 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 11 10 9 9 10 10 11 11 11 12 12 12 12 11 11 10 9 8 8 9 9 nan
nan 8 8 7 7 7 7 7 7 7 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 7 8 8 9 9 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 10 11 11 12 12 11 11 10 9 9 8 7 7 7 7 7 8 8 9 9 10 10 11 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 10 11 11 11 10 8 8 8 8 9 9 9 8 9 9 9 9 8 8 8 9 9 9 9 9 8 9 9 9 10 10 9 9 9 9 8 8 8 7 7 7 8 8 8 8 9 9 10 10 10 10 9 9 10 11 13 13 12 10 10 9 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 nan
nan 8 8 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 9 9 8 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 8 8 7 8 8 9 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 9 8 8 7 7 8 8 8 9 9 9 9 10 10 10 10 9 9 11 13 14 14 12 11 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 10 10 9 9 8 8 8 9 9 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 9 8 8 7 8 8 8 8 8 9 9 10 10 10 10 9 9 10 11 12 13 12 11 9 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 nan
nan 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 10 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 8 8 9 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 9 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 11 10 8 7 7 8 8 9 9 9 8 9 9 8 8 8 9 9 9 8 8 8 8 nan
nan 9 8 8 7 7 7 7 8 8 8 9 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 10 10 9 8 8 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 5 5 5 5 5 4 4 4 5 7 9 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 8 8 8 9 9 10 10 10 10 11 11 11 11 10 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 10 10 nan
nan 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 8 8 8 8 7 6 7 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 9 8 7 7 6 7 6 6 6 5 5 4 3 3 2 0 -0 0 3 7 9 10 10 9 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 11 11 11 10 10 9 8 8 9 10 11 12 12 12 11 9 9 9 9 9 9 9 9 8 8 9 10 11 11 nan
nan 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 10 10 8 5 4 5 6 7 7 7 7 8 9 9 10 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 7 6 5 6 7 7 8 9 9 9 8 6 4 1 -1 -2 -1 2 6 9 10 10 10 8 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 11 11 11 10 10 9 9 8 7 7 7 10 12 14 14 14 13 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 nan
nan 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 13 14 13 10 5 3 2 2 4 6 8 9 9 10 10 10 10 10 9 9 8 8 8 7 7 8 9 9 10 10 10 10 10 10 9 9 8 8 8 7 7 8 9 10 11 12 13 13 13 12 9 5 2 1 2 4 7 9 11 11 10 8 7 7 6 7 7 7 7 8 8 7 8 8 9 9 9 9 9 8 8 9 10 11 11 10 9 8 8 7 7 7 7 6 5 7 10 14 15 15 14 12 10 9 9 8 8 9 9 9 9 9 9 10 10 10 11 nan
nan 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 12 15 16 15 12 8 4 2 1 2 5 7 8 8 8 8 9 9 10 10 10 9 9 8 8 7 8 8 9 9 10 10 10 10 10 9 9 9 9 10 11 12 13 14 14 15 15 16 16 16 16 14 12 10 8 8 9 9 10 11 10 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 9 10 10 10 10 8 6 5 5 5 6 6 6 6 6 8 12 14 15 15 14 12 11 10 9 8 8 9 9 10 10 10 10 10 10 11 12 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 10 13 15 15 14 13 10 7 4 1 2 3 4 5 5 6 7 8 8 9 9 10 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 9 10 10 12 14 16 16 17 17 17 17 17 17 17 17 17 16 15 13 12 11 10 10 10 9 7 6 6 6 6 7 7 8 8 7 7 7 7 7 7 8 8 9 9 9 10 10 10 9 7 6 5 4 5 5 6 7 7 8 9 10 11 12 13 14 13 12 11 10 10 9 10 10 10 10 10 9 9 9 9 10 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 10 13 14 14 13 12 11 9 5 3 2 1 1 2 4 6 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 11 12 13 14 15 15 15 15 16 17 17 18 19 18 17 15 14 12 10 9 9 9 8 7 6 6 6 6 6 7 7 6 6 5 5 5 6 6 6 7 7 8 9 9 9 8 7 6 6 7 8 8 8 8 8 10 10 10 10 9 10 10 12 12 11 11 11 11 11 11 11 10 9 8 8 8 8 8 9 9 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 11 13 13 13 12 12 11 9 7 5 3 1 -0 1 3 6 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 12 12 11 11 11 12 14 16 18 19 18 16 14 12 9 8 8 8 8 8 7 7 6 6 6 6 5 5 3 3 3 3 3 4 5 5 5 6 7 8 8 8 8 7 8 8 9 9 9 8 8 9 10 10 9 8 8 8 8 9 10 11 12 13 12 11 11 10 9 8 8 7 7 7 8 8 8 nan
nan 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 7 7 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 9 11 12 12 12 11 10 10 9 7 6 5 3 0 -0 2 5 7 8 8 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 10 12 14 17 18 17 15 13 10 8 7 7 8 8 7 7 7 7 7 7 6 5 4 3 2 1 1 1 2 3 4 5 6 6 7 7 8 8 8 9 9 8 7 6 6 7 8 8 7 7 7 7 7 6 6 8 11 13 14 14 12 10 9 9 9 9 9 8 8 8 8 8 nan
nan 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 9 8 5 2 -0 -0 3 6 8 9 9 8 8 9 9 8 8 8 8 8 8 8 7 7 8 8 8 9 10 10 10 9 9 9 10 10 10 10 10 11 13 14 15 15 14 12 10 8 8 8 8 9 8 8 8 8 9 9 8 7 6 5 4 2 1 1 1 2 3 5 6 6 6 6 6 6 7 7 7 6 5 5 6 8 8 7 6 6 7 7 6 5 5 7 10 13 14 14 13 11 10 11 12 12 12 11 10 9 8 7 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 10 11 12 13 13 12 10 9 9 9 10 11 11 9 5 1 -2 1 5 8 9 8 8 8 9 9 9 8 8 8 7 7 8 8 8 7 7 8 8 9 10 10 9 8 9 10 11 12 12 12 12 12 11 12 12 12 11 10 9 9 9 10 10 10 10 10 11 12 12 11 9 7 6 5 5 4 3 2 2 3 5 6 6 6 6 6 6 6 6 6 5 6 8 10 10 9 7 7 7 7 7 7 6 6 7 9 12 14 14 12 11 11 12 12 12 12 11 10 8 6 5 nan
nan 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 14 15 14 13 12 11 11 11 12 14 14 13 9 3 -2 -1 3 7 9 8 7 7 8 9 9 9 8 8 8 8 8 9 8 8 7 7 7 8 8 9 8 8 9 10 11 12 13 13 12 11 10 10 11 11 11 11 10 10 9 10 11 11 12 12 13 14 14 13 10 7 6 6 7 7 6 6 5 5 5 6 7 7 7 7 7 6 6 6 7 9 10 11 10 8 7 6 7 7 8 8 8 8 9 10 11 11 10 9 10 11 11 11 10 10 9 7 6 4 4 nan
nan 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 14 15 15 14 14 13 14 14 15 16 17 17 14 8 0 -1 2 6 9 9 7 7 8 8 9 9 8 8 8 8 9 9 9 9 8 7 7 7 7 8 8 8 9 9 10 11 12 12 11 10 10 10 11 11 11 11 10 9 9 9 10 10 11 12 12 13 12 11 9 7 7 8 9 10 10 9 9 8 7 8 8 8 8 8 8 7 7 7 8 8 9 8 7 6 6 6 7 8 9 9 9 9 9 9 9 8 7 7 9 10 11 10 9 8 6 5 4 4 5 nan
nan 9 9 9 8 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 13 12 12 11 11 12 12 12 12 12 12 11 12 13 14 14 15 14 15 15 16 16 17 18 19 20 19 13 6 3 4 6 8 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 11 11 11 10 10 10 10 10 11 10 10 9 8 7 7 8 8 9 10 10 10 9 7 7 7 8 9 11 11 12 12 11 10 10 9 9 9 9 9 8 7 8 8 8 8 7 6 5 6 7 8 8 9 9 9 9 8 8 8 8 8 7 8 9 10 10 10 9 8 7 6 7 8 9 nan
nan 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 13 13 13 13 12 12 13 12 12 12 12 12 12 13 13 12 12 11 11 12 13 14 14 14 14 14 15 16 17 18 19 20 22 22 18 12 9 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 8 9 10 11 11 11 10 9 8 9 9 10 10 9 8 7 6 6 6 7 8 9 9 9 7 6 6 7 9 10 11 12 12 12 11 11 10 10 10 10 10 9 8 7 8 8 9 9 8 7 7 7 8 8 9 9 9 9 9 8 9 9 10 10 10 11 11 11 11 11 11 11 11 12 13 14 14 nan
nan 11 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 14 14 13 13 13 13 14 14 14 14 14 13 13 13 13 12 12 12 12 13 13 13 13 12 11 11 11 11 12 13 13 13 13 14 15 16 18 19 20 22 23 23 20 16 13 11 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 11 11 10 8 7 7 8 9 9 8 8 7 7 6 7 7 8 8 9 9 8 7 8 9 10 11 11 11 11 10 10 9 9 9 9 10 9 8 8 8 8 8 9 9 8 7 7 7 7 7 8 8 9 10 10 10 11 12 13 13 13 12 12 12 12 12 13 13 15 16 16 16 17 nan
nan 11 11 11 11 11 12 12 12 12 13 13 14 14 14 14 13 13 13 13 13 14 14 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 12 13 13 13 14 13 13 12 12 12 12 12 12 12 12 13 14 16 17 18 20 21 22 23 25 24 22 19 17 14 13 11 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 9 11 13 11 9 7 6 6 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 10 11 11 11 10 9 8 8 8 7 7 7 7 7 6 6 6 7 7 6 5 4 3 2 3 3 3 5 6 8 10 11 13 14 15 14 14 13 12 12 13 13 13 13 13 14 14 14 14 15 nan
nan 12 12 12 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 13 13 14 13 13 13 13 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 14 14 14 14 14 14 13 13 13 13 14 14 14 14 16 17 18 19 21 22 23 24 25 25 24 22 20 18 17 15 14 12 10 10 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 9 11 13 13 12 9 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 6 5 5 4 3 3 3 3 2 1 1 -0 -0 -0 0 -0 0 1 2 4 7 9 12 14 13 13 12 11 11 12 12 12 12 11 11 11 11 11 12 12 nan
nan 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 13 13 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 17 18 19 20 21 23 25 26 27 26 24 20 18 17 16 15 14 14 13 12 11 10 10 10 10 10 11 11 12 12 12 11 11 10 9 9 8 8 8 8 8 8 8 9 11 13 14 14 12 9 7 5 5 6 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 12 13 13 12 11 9 8 6 5 4 3 2 2 1 1 1 1 2 3 4 4 4 3 3 2 3 4 5 7 8 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 nan
nan 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 14 14 14 14 13 13 13 13 13 14 14 14 14 14 14 15 16 16 17 17 17 17 17 17 17 18 18 18 17 16 15 14 12 12 13 15 17 18 20 21 23 25 26 27 27 24 20 17 15 13 13 13 13 14 14 12 11 10 10 10 11 11 12 12 12 12 11 10 9 8 7 7 8 8 8 8 9 9 10 11 13 14 15 14 12 9 6 4 5 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 13 15 16 16 15 13 12 10 9 8 7 6 5 5 5 6 7 8 9 10 10 10 10 9 8 7 6 6 5 5 7 8 9 8 9 9 9 9 9 9 9 9 10 10 10 10 nan
nan 15 14 13 12 11 11 10 10 10 11 12 12 12 11 11 10 11 11 12 12 12 12 12 11 11 11 12 12 12 13 13 13 14 14 14 14 14 13 13 13 13 13 14 14 14 14 15 15 16 17 18 18 19 19 19 19 19 19 20 19 19 17 15 13 10 8 7 8 11 14 16 18 20 22 24 25 27 28 26 23 19 15 12 12 12 12 13 13 12 12 11 11 11 11 11 11 12 12 12 11 10 9 6 5 5 5 7 8 9 9 9 10 11 13 14 15 15 14 11 8 5 5 7 8 8 8 8 8 8 7 7 8 8 9 10 10 10 10 11 12 13 14 15 15 15 14 14 13 13 13 12 11 11 12 12 12 12 12 13 13 14 14 13 13 12 12 11 10 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 nan
nan 15 14 12 11 10 10 9 9 10 11 12 12 12 11 10 10 10 10 11 12 12 12 12 12 12 12 12 11 12 13 13 13 14 14 14 14 14 14 13 13 13 13 14 14 14 15 15 16 17 17 18 19 19 19 19 19 19 18 18 17 16 15 12 9 7 4 3 3 6 10 13 15 17 19 21 24 27 29 28 25 21 15 12 11 12 12 12 12 12 12 12 12 12 11 10 10 11 11 12 12 12 10 7 5 3 2 4 6 8 9 10 11 12 13 14 15 15 15 13 9 6 6 7 8 9 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 10 11 12 13 14 15 15 15 16 17 17 17 16 16 15 15 15 15 16 17 17 16 16 15 16 17 17 14 11 8 6 6 6 6 6 7 8 8 9 9 8 9 9 9 9 nan
nan 14 13 11 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 12 11 11 10 10 11 12 12 13 13 14 14 14 13 13 13 13 13 14 15 16 16 16 16 17 17 17 17 17 16 16 16 16 15 15 14 13 11 10 7 5 3 1 0 2 6 9 11 12 14 16 20 25 28 28 26 21 15 12 12 12 12 12 11 11 11 11 12 12 12 11 10 10 11 12 13 14 14 12 10 5 2 2 3 5 7 8 10 12 13 14 15 15 15 12 8 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 7 8 8 9 10 11 12 14 15 16 17 18 18 19 19 18 18 18 19 19 20 20 19 18 17 17 18 20 19 16 12 8 5 4 5 6 7 8 9 9 9 9 9 9 9 9 9 nan
nan 11 11 10 9 8 8 9 10 11 11 11 11 12 12 12 12 12 12 11 10 10 11 11 11 11 11 10 9 9 10 11 11 11 12 12 13 13 13 13 12 12 13 14 15 17 17 17 16 15 15 15 14 13 12 11 11 12 12 12 12 11 10 8 7 5 3 0 -1 -0 3 5 7 8 9 12 16 21 26 27 27 22 16 13 12 12 11 11 11 10 10 10 11 12 12 12 11 10 11 11 13 16 17 18 18 13 6 3 1 1 2 4 6 9 11 13 14 15 14 11 8 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 10 11 12 13 14 15 15 16 17 17 18 19 20 21 20 19 18 17 16 16 17 19 21 21 18 14 10 7 6 5 7 9 10 11 10 9 9 9 9 9 9 9 nan
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nan 11 12 13 13 12 10 9 8 9 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 12 11 11 10 10 11 12 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 10 nan
nan 12 14 14 14 12 10 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 nan
nan 13 14 14 13 11 9 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 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 9 9 9 9 9 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 9 10 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 nan
nan 12 14 14 12 9 5 4 3 3 5 7 8 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 9 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 8 8 9 9 9 9 9 9 nan
nan 12 14 14 12 7 2 0 0 2 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 10 10 10 9 9 9 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 nan
nan 12 14 14 12 7 3 2 3 5 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 6 7 8 9 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 13 13 12 12 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 10 10 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 nan
nan 12 13 13 12 10 8 7 6 5 5 6 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 6 6 7 8 10 11 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 12 11 10 10 10 10 9 9 9 10 11 11 11 11 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 nan
nan 12 13 13 13 12 10 8 5 3 3 5 6 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 11 12 12 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 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 11 11 11 11 11 11 11 11 11 12 12 13 13 12 11 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 nan
nan 12 12 12 12 11 8 6 4 4 5 6 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 12 13 12 12 11 11 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 11 10 9 10 10 10 10 10 11 12 12 13 12 11 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 11 11 11 10 9 8 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 11 11 11 11 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 12 12 12 11 10 10 11 11 11 11 11 11 12 12 12 11 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 10 10 10 10 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 12 12 13 13 13 12 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 nan
nan 10 10 10 10 10 11 11 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 13 14 14 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 10 10 10 10 10 11 12 12 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 12 13 13 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 11 11 12 11 10 10 10 10 10 11 10 10 11 11 11 11 10 10 10 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 13 13 13 13 13 12 12 12 11 11 12 12 12 12 12 13 12 12 11 11 10 10 10 10 10 11 11 11 10 nan
nan 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 14 15 15 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 8 9 9 10 10 10 10 nan
nan 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 13 14 14 15 15 15 15 14 15 15 15 15 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 8 8 8 8 9 9 10 nan
nan 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 11 11 11 12 13 15 15 15 15 15 14 14 14 14 15 15 15 14 13 13 13 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 10 9 8 8 8 9 nan
nan 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 10 10 11 12 14 14 14 14 14 13 13 13 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 12 11 10 9 9 9 nan
nan 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 12 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 13 12 12 12 12 12 12 12 11 10 10 10 10 10 9 nan
nan 10 10 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 7 8 8 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 11 11 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 13 13 12 12 12 12 12 11 11 10 8 7 8 8 9 10 10 nan
nan 10 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 10 11 11 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 9 10 10 10 9 10 10 11 11 12 12 12 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 10 9 9 9 9 9 10 12 nan
nan 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 8 8 8 9 10 11 11 10 10 10 10 10 10 10 11 11 11 10 9 8 7 8 9 10 10 9 8 9 9 10 10 11 11 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 12 12 12 12 12 13 13 14 14 14 14 13 13 13 nan
nan 10 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 11 11 11 10 9 8 8 8 10 10 10 10 10 11 11 10 9 9 8 8 8 9 9 10 10 10 9 9 8 9 10 11 11 10 9 8 8 8 9 9 10 10 10 10 11 13 14 14 14 13 13 12 12 12 11 11 11 10 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 13 14 15 16 16 16 15 14 13 nan
nan 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 7 9 10 11 11 11 11 10 9 8 9 10 12 12 12 11 11 10 9 8 7 6 6 6 6 6 7 7 7 8 8 7 8 9 11 12 12 11 9 8 7 7 7 7 8 8 9 10 12 14 15 15 14 13 12 12 12 11 10 9 9 9 10 11 11 11 11 10 10 11 11 12 12 11 11 10 10 11 12 13 14 14 14 14 12 11 nan
nan 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 8 9 11 12 12 12 11 11 10 9 9 10 12 13 12 11 10 10 10 9 9 7 6 6 6 6 6 6 6 6 7 6 6 7 8 9 11 11 10 9 7 6 5 4 4 6 8 10 12 14 15 15 14 13 12 12 12 11 10 9 8 10 11 12 13 12 11 10 10 10 11 12 12 12 11 10 9 9 9 10 11 11 12 12 11 9 8 nan
nan 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 8 9 10 11 12 12 12 11 11 10 10 9 9 10 11 11 10 8 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 7 6 6 5 4 3 4 7 10 13 14 14 14 13 12 12 12 11 10 9 8 8 9 12 14 15 14 13 11 11 11 12 13 13 12 12 11 10 10 9 9 10 11 11 11 9 8 6 5 nan
nan 11 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 10 11 11 11 10 10 9 9 8 8 9 9 8 7 6 7 9 10 11 11 11 11 12 12 12 13 13 13 12 11 10 9 8 7 6 6 6 5 5 6 7 7 6 5 7 10 12 13 12 11 11 11 11 11 11 10 8 8 8 9 12 14 15 15 14 13 13 14 15 15 14 14 13 12 12 12 11 10 10 10 11 11 11 10 9 8 7 nan
nan 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 9 9 10 10 10 10 9 8 7 5 5 6 7 7 6 6 6 8 10 11 11 11 12 13 13 14 14 14 13 12 11 11 9 8 6 5 4 4 4 5 6 7 8 9 9 9 11 12 12 11 9 9 10 11 12 11 10 9 9 9 10 12 14 15 14 13 13 13 14 15 15 15 14 13 13 13 13 12 11 10 9 8 10 11 12 13 13 13 13 nan
nan 11 12 12 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 9 10 9 9 8 7 5 4 4 5 6 6 6 6 8 10 12 13 13 14 15 16 16 16 15 13 12 11 9 8 7 5 4 4 4 5 6 6 7 8 9 9 10 11 12 12 12 11 11 12 13 13 13 12 11 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 11 9 9 9 11 13 14 15 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 9 9 9 10 10 8 6 4 1 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 6 5 8 7 5 3 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 4 7 8 7 4 2 1 1 1 1 1 1 1 1 2 7 22 53 86 137 209 274 248 167 130 138 144 146 147 160 180 194 189 164 140 132 132 140 177 212 220 212 190 159 173 191 218 231 214 191 216 170 106 58 40 38 43 52 71 107 143 155 105 82 102 133 160 183 185 180 177 181 168 177 188 209 253 292 330 360 391 415 398
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