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 8 8 9 9 9 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 8 9 11 13 13 12 11 11 12 13 14 14 12 11 9 7 6 7 8 10 12 14 15 15 14 13 13 12 11 11 11 12 12 11 10 10 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 7 8 8 9 10 9 9 9 8 9 10 11 11 10 9 10 11 12 12 12 12 12 11 9 9 10 11 12 12 10 8 8 8 9 8 8 8 8 9 10 11 11 11 11 12 12 12 11 9 8 7 7 6 6 7 8 9 9 8 7 7 8 9 9 10 11 11 10 9 9 9 8 8 6 6 6 7 8 9 10 10 10 10 11 12 12 11 9 9 10 9 8 8 8 9 9 9 9 9 9 8 8 9 10 10 9 8 7 7 7 nan
nan 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 9 10 11 11 10 11 12 13 15 14 12 10 8 6 6 6 7 9 10 11 12 12 13 13 12 11 10 10 11 11 12 13 13 13 12 11 11 10 9 9 10 10 10 10 11 12 11 10 10 10 11 11 11 10 10 11 12 12 12 11 11 10 11 11 12 11 10 9 10 11 11 10 10 10 11 11 10 10 10 11 12 12 10 9 9 9 10 9 9 9 9 9 10 10 11 11 10 10 11 11 10 8 7 7 7 6 6 6 8 9 9 9 8 7 8 8 9 10 10 10 9 9 8 8 8 7 6 7 6 6 7 8 9 8 9 10 11 12 12 12 11 11 11 9 7 7 8 9 9 9 9 9 8 8 8 9 10 10 10 9 8 8 8 nan
nan 6 5 5 5 5 6 6 6 6 5 6 6 6 7 7 7 7 7 8 7 7 7 8 9 9 10 10 10 11 12 13 12 10 8 6 6 6 6 7 8 9 9 9 10 11 12 11 10 9 9 9 9 10 12 13 14 13 13 12 12 11 10 10 10 10 10 11 12 12 11 10 10 10 10 11 11 12 12 13 13 13 13 12 12 12 12 12 11 10 10 10 10 10 9 8 9 9 9 8 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 6 6 6 6 8 9 9 9 8 8 7 8 9 9 10 9 8 8 8 8 8 8 10 10 9 8 7 7 7 7 8 9 10 11 12 12 12 12 10 9 8 8 9 9 9 9 9 9 8 7 8 9 9 10 9 9 8 8 8 nan
nan 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 7 7 7 8 9 9 9 10 10 10 10 9 7 6 6 6 6 7 7 8 9 9 8 8 10 11 11 10 9 9 8 8 9 10 12 13 13 13 12 12 11 11 10 10 9 8 8 9 10 9 8 7 7 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 8 8 8 8 9 9 9 9 8 9 11 12 12 12 13 13 13 12 12 12 11 10 9 9 9 10 10 10 9 8 7 7 6 5 5 6 7 8 8 8 8 8 8 8 8 9 10 10 9 7 6 6 7 9 12 12 11 8 7 7 7 6 6 7 8 10 10 11 11 10 9 9 10 10 10 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 nan
nan 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 9 9 9 9 9 9 8 8 7 6 6 6 7 7 7 8 10 10 8 8 10 11 11 10 9 9 9 8 8 9 11 12 12 12 11 11 11 10 10 9 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 10 11 11 10 10 10 11 12 12 12 12 13 13 12 12 12 11 10 9 8 8 10 10 9 8 8 8 7 5 4 4 4 5 5 6 7 7 8 8 8 9 10 11 11 9 7 6 5 6 7 8 8 8 8 8 8 8 7 6 6 8 9 9 9 9 9 8 9 10 11 11 10 10 9 9 8 9 9 9 9 8 8 8 9 9 9 9 nan
nan 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 8 9 9 8 8 8 9 9 8 7 6 6 6 7 7 8 9 9 9 8 9 10 11 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 8 7 7 6 6 6 7 7 8 8 8 7 6 6 6 6 6 6 7 7 7 6 6 7 8 9 10 11 11 11 11 10 10 12 13 13 13 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 9 9 9 8 8 8 8 7 6 5 4 3 3 3 4 5 5 6 7 8 9 11 11 11 10 8 7 6 6 4 4 5 6 8 9 9 9 8 7 7 8 8 9 8 8 8 8 8 9 10 10 10 11 11 10 9 9 10 9 9 8 7 8 9 10 10 9 nan
nan 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 7 7 8 8 9 9 7 6 5 6 6 6 7 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 7 7 7 7 7 8 8 7 6 6 6 7 8 9 10 12 13 13 14 14 14 14 14 14 14 13 12 10 10 10 10 11 11 10 9 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 7 7 5 4 4 4 4 4 4 5 6 7 8 10 10 10 9 9 8 8 7 6 5 5 6 8 9 8 8 8 7 7 7 8 8 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 10 9 nan
nan 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 6 6 6 6 6 5 5 6 7 8 9 9 9 9 10 10 9 8 8 7 6 6 5 5 6 6 7 7 7 7 7 8 8 8 8 7 8 8 9 9 9 9 9 8 9 9 9 9 10 10 10 9 8 8 9 9 10 11 12 14 14 15 15 15 14 13 13 12 12 11 10 10 11 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 7 6 6 6 5 4 4 5 5 6 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 7 7 8 7 7 8 9 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 8 nan
nan 5 5 5 5 4 5 5 5 5 5 5 5 4 4 5 5 6 6 6 5 5 4 4 4 5 6 6 7 7 7 7 7 7 6 6 7 7 6 6 5 6 6 7 8 8 8 8 9 9 8 8 6 5 4 4 4 4 5 6 6 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 9 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 12 12 13 13 14 13 12 12 11 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 6 5 5 7 8 8 8 8 8 9 10 11 11 11 13 15 15 13 11 8 6 5 5 5 6 7 9 9 8 7 8 9 9 7 6 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 nan
nan 6 6 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 3 3 3 4 5 6 7 8 8 8 7 7 6 7 7 7 6 6 7 7 7 7 7 6 6 7 8 9 9 8 7 6 6 5 5 5 5 5 6 6 7 7 7 7 6 6 6 6 7 8 9 9 10 9 9 9 10 10 11 12 13 13 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 10 10 10 11 10 9 9 9 10 10 8 7 8 9 11 11 9 7 7 8 11 12 12 13 15 18 19 19 15 11 9 7 6 6 7 9 10 10 8 8 8 9 7 5 5 6 7 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 8 nan
nan 8 7 7 7 6 5 5 5 5 5 5 4 4 3 3 4 4 5 5 5 4 4 3 3 4 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 5 6 7 8 9 9 9 9 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 10 10 11 12 12 12 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 10 11 12 12 11 10 10 10 10 9 7 6 6 8 10 12 12 13 14 16 17 17 16 14 12 12 11 11 11 11 11 10 9 8 8 8 6 4 4 5 6 7 8 9 8 8 9 10 10 10 9 10 10 10 10 10 10 nan
nan 9 9 9 8 8 8 7 6 5 5 5 4 3 3 2 3 4 5 5 5 4 4 4 4 5 6 8 9 9 10 9 8 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 7 8 9 9 9 9 9 9 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 9 10 10 9 9 10 11 12 12 12 12 10 8 7 7 7 9 9 9 8 8 8 8 9 9 9 10 11 11 11 10 10 10 10 9 9 9 9 10 11 11 11 11 10 10 11 11 12 12 12 12 12 11 10 10 11 11 11 12 13 13 13 12 12 11 9 8 6 6 5 6 7 8 9 9 10 10 11 11 11 12 12 12 13 14 14 14 13 12 10 9 9 8 7 6 5 4 5 5 7 8 8 8 8 9 9 10 10 10 10 10 9 9 10 9 nan
nan 9 9 9 9 10 10 9 8 7 6 5 5 3 2 2 3 4 5 5 4 4 4 5 6 7 7 8 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 8 8 7 7 8 8 9 9 8 8 7 7 7 7 8 10 11 11 10 10 10 11 12 12 12 11 9 7 6 6 7 8 8 8 8 7 7 8 8 8 9 9 10 11 11 11 10 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 12 12 11 11 10 10 9 9 9 10 10 12 12 12 12 12 12 11 10 7 6 6 6 7 8 8 7 7 7 8 8 8 8 9 10 11 12 14 15 15 14 13 11 9 8 7 7 6 6 6 5 5 5 6 7 7 8 8 9 9 10 10 10 9 8 7 7 8 nan
nan 10 9 9 10 10 10 10 10 9 8 7 6 5 3 3 3 5 6 6 5 5 6 7 8 8 8 8 8 9 9 8 8 7 8 8 8 8 8 7 6 6 6 6 6 6 7 8 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 8 8 7 7 7 7 7 8 10 11 11 11 10 11 11 11 12 12 11 10 7 6 6 6 7 8 8 8 7 8 8 8 8 8 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 9 8 8 8 8 9 9 10 11 10 10 11 12 12 10 8 7 8 9 10 11 11 9 7 6 6 6 6 7 8 8 9 10 11 12 14 14 13 11 9 7 7 7 7 7 7 6 5 5 5 6 6 8 9 9 9 9 9 9 8 7 6 5 5 nan
nan 10 10 10 10 10 10 10 11 11 11 10 10 8 6 5 6 7 8 7 6 7 8 8 8 7 8 7 7 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 6 7 7 8 9 9 8 9 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 8 8 8 9 10 11 11 10 10 10 11 11 12 12 11 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 9 9 9 8 8 8 9 10 10 9 8 8 8 8 8 9 10 9 9 9 10 11 12 11 10 10 11 12 13 14 14 12 10 8 7 7 6 6 7 7 7 8 8 9 11 13 13 12 9 8 7 7 8 8 8 7 6 5 5 5 5 7 9 9 9 9 9 9 7 6 5 5 5 nan
nan 11 11 10 10 10 10 11 12 12 13 13 13 12 11 10 9 10 10 9 9 9 9 8 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 9 7 6 6 7 7 7 6 6 6 7 9 9 10 10 10 10 9 9 10 11 11 11 10 10 10 10 9 8 6 6 7 8 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 10 9 9 8 8 7 8 9 9 9 9 9 10 11 12 12 11 12 12 13 13 14 14 12 11 10 9 8 7 7 8 8 7 7 7 7 9 11 12 12 11 10 9 8 8 8 8 7 7 6 5 5 5 6 7 8 8 9 10 9 8 7 6 6 6 nan
nan 12 12 11 11 11 11 12 13 13 14 15 15 15 14 12 12 11 11 11 11 10 10 8 8 7 7 6 7 7 7 7 8 9 9 8 8 8 7 8 8 8 7 7 7 8 9 9 9 9 9 10 11 11 11 11 9 8 7 7 7 8 8 8 7 6 5 6 8 9 9 9 9 9 9 10 10 10 10 10 9 9 10 11 10 8 6 6 6 8 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 8 9 9 9 9 9 8 8 7 8 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 9 10 10 9 8 8 9 9 8 8 8 7 8 9 10 11 12 12 11 10 9 9 8 7 7 7 6 6 6 6 6 6 7 9 10 9 8 6 6 7 8 nan
nan 13 13 12 12 12 12 13 14 14 14 14 14 14 13 12 11 11 11 11 11 10 9 9 8 8 8 7 7 8 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 10 10 11 11 10 9 8 8 8 9 9 10 10 10 8 6 6 7 8 8 8 8 9 10 10 10 9 9 9 9 9 9 10 9 7 6 6 6 6 7 8 7 7 7 8 8 8 8 9 9 10 9 8 8 8 8 8 8 8 7 7 8 8 8 7 7 8 8 9 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 9 10 10 10 9 8 8 8 9 9 8 8 8 9 9 10 11 12 12 12 12 11 10 8 8 7 7 6 6 6 6 6 7 8 9 7 5 4 5 6 8 nan
nan 13 14 13 13 13 13 13 13 13 13 13 13 13 12 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 10 10 11 11 10 8 7 7 8 7 7 7 8 9 10 10 9 8 9 10 10 9 7 7 6 6 5 5 5 5 6 6 6 7 7 8 8 8 9 9 9 9 9 8 8 8 9 8 8 7 8 8 9 8 8 8 8 9 10 10 9 8 7 6 6 6 6 7 7 6 6 6 7 7 8 9 9 9 9 10 9 8 8 8 10 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 11 10 8 7 7 7 7 7 8 8 9 8 7 5 3 2 2 4 6 nan
nan 13 13 13 13 13 13 12 12 12 12 12 12 12 11 10 9 8 8 9 9 9 9 10 10 10 9 9 8 8 8 9 10 10 9 8 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 9 10 10 10 9 8 8 8 8 7 7 8 9 10 10 9 8 9 10 11 10 8 7 6 6 6 6 6 5 5 5 5 6 7 7 8 8 9 9 10 9 9 8 8 8 9 8 8 8 8 9 9 9 8 8 8 9 9 10 10 9 7 7 6 6 7 7 7 7 6 6 7 7 8 8 8 9 9 9 8 8 8 9 10 11 11 11 10 10 9 8 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 9 8 7 7 7 8 8 9 9 9 7 5 3 1 1 3 5 nan
nan 11 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 10 11 10 10 9 9 8 8 8 8 9 8 8 8 8 8 9 10 10 9 8 8 9 10 10 10 9 8 8 8 7 7 6 5 5 5 5 6 6 7 8 9 10 10 10 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 8 8 7 7 7 7 8 9 10 10 10 10 10 9 8 7 7 7 7 6 7 7 8 8 8 8 9 10 10 11 11 11 10 9 9 9 8 8 8 9 9 8 7 5 4 3 3 5 nan
nan 10 10 11 11 10 10 10 11 11 11 11 10 10 9 9 7 6 6 7 8 8 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 7 8 8 9 9 9 8 8 9 9 10 10 9 8 8 9 9 9 10 10 10 10 9 9 8 7 6 6 5 5 5 6 7 8 10 10 10 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 10 9 10 11 11 11 10 10 10 11 11 11 10 9 8 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 7 6 7 7 7 8 8 8 8 8 9 10 10 11 10 10 10 9 8 7 7 8 8 9 8 8 7 5 5 6 nan
nan 9 9 9 8 8 8 8 8 9 9 9 8 9 9 9 7 5 5 6 7 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 8 7 7 8 9 10 10 10 10 9 10 10 10 10 9 8 8 8 8 9 9 10 10 10 10 9 8 8 7 7 6 5 5 6 7 8 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 10 10 10 9 9 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 7 7 8 8 8 9 9 8 7 6 6 nan
nan 8 8 7 6 5 5 5 6 6 6 6 6 7 8 8 6 5 6 6 7 7 7 7 6 6 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 8 9 10 10 11 11 11 10 10 10 10 10 9 8 7 7 7 8 9 9 9 9 9 8 8 8 8 7 7 6 6 6 7 8 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 10 11 11 12 12 12 12 12 11 10 10 9 8 8 8 8 8 8 7 8 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 8 7 7 5 5 4 4 4 4 4 4 5 6 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 8 8 8 8 8 8 9 9 9 8 9 9 9 9 8 8 9 9 9 9 10 11 11 10 10 9 9 8 8 8 9 10 11 11 11 11 10 10 9 10 10 10 9 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 7 7 6 6 6 7 9 11 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 13 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 7 7 8 7 nan
nan 8 8 7 6 5 4 3 3 3 3 4 4 6 7 7 7 6 7 7 7 8 8 7 8 8 8 8 8 8 8 9 10 11 10 8 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 8 9 10 11 11 11 10 9 8 8 8 9 10 10 9 8 8 8 8 9 9 9 9 9 8 8 8 7 8 8 8 7 6 6 6 7 8 10 11 11 10 9 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 10 11 11 10 10 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 8 8 7 7 7 nan
nan 8 8 7 7 6 5 5 5 5 5 5 5 6 7 7 7 7 7 7 8 8 8 8 9 10 10 9 8 8 8 9 10 11 10 8 7 7 7 7 7 9 10 10 9 9 8 8 8 9 10 10 10 11 11 11 11 12 12 11 10 10 10 9 10 11 11 11 11 10 8 7 7 8 9 10 10 9 9 9 9 9 10 10 11 10 10 9 9 9 8 8 8 8 7 6 6 5 6 8 10 11 10 9 8 8 8 9 8 8 7 7 7 8 8 9 9 10 10 9 9 10 10 10 10 9 8 8 8 8 9 8 8 8 9 8 6 6 8 9 9 8 8 9 11 12 12 12 11 11 11 11 11 11 12 11 11 10 10 10 10 11 11 12 12 11 10 9 9 10 10 11 11 10 9 9 8 9 10 10 9 8 8 9 9 8 nan
nan 8 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 9 9 9 10 11 11 11 10 8 8 9 10 10 10 8 7 7 7 7 7 9 10 10 9 8 7 7 8 10 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 8 7 7 8 10 10 9 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 8 8 8 7 6 6 6 7 9 10 10 10 9 9 9 10 10 9 9 8 8 8 9 9 10 10 10 9 9 9 10 10 10 9 8 8 8 8 8 8 7 8 8 7 6 6 7 8 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 12 12 13 13 12 11 10 10 10 11 10 10 9 9 8 8 9 9 9 9 9 10 10 9 nan
nan 8 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 8 7 8 8 9 10 10 10 11 12 12 11 9 8 9 10 10 10 8 7 7 7 7 8 9 10 10 9 8 8 8 9 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 9 9 8 8 9 9 9 9 9 10 10 10 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 10 10 9 9 9 9 10 9 9 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 10 11 12 13 13 13 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 nan
nan 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 12 13 13 12 10 9 9 10 10 9 8 7 7 8 8 9 10 10 9 9 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 9 9 9 8 8 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 9 9 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 10 11 12 12 12 12 12 12 12 11 10 10 10 9 9 8 7 7 8 8 8 9 8 8 nan
nan 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 12 13 13 12 11 10 10 10 10 10 9 8 8 9 9 10 9 9 8 8 8 9 9 10 9 9 8 8 7 7 7 7 7 7 8 8 9 10 10 10 9 8 8 9 9 8 7 7 7 8 8 9 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 10 11 10 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 8 9 9 10 10 11 11 11 12 12 12 12 12 11 11 11 10 9 8 7 7 7 7 8 8 7 7 nan
nan 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 11 12 13 12 12 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 7 6 6 6 6 6 6 7 7 8 9 10 11 11 10 9 9 9 8 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 10 9 9 8 8 8 8 7 7 7 8 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 9 10 10 11 10 10 9 8 8 9 9 10 10 10 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 10 10 11 11 12 11 11 9 9 8 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 9 8 7 7 7 7 8 7 7 nan
nan 8 8 8 8 8 8 9 9 9 10 10 9 9 9 8 8 7 8 8 9 9 10 10 10 10 10 11 11 12 12 12 11 11 10 10 11 11 10 10 9 8 8 8 8 8 8 9 9 8 8 6 5 5 5 6 6 7 7 7 8 9 10 11 11 11 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 11 12 12 12 10 9 8 8 9 9 10 10 10 11 10 10 10 10 10 10 11 11 12 12 12 12 11 9 8 7 6 7 7 8 7 nan
nan 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 11 12 12 11 11 11 11 10 10 9 8 8 8 9 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 8 8 9 10 11 11 11 10 10 9 9 9 9 9 10 10 9 8 7 7 7 7 8 8 7 7 8 8 9 9 9 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 10 10 10 11 12 13 12 10 9 8 8 9 9 10 10 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 8 7 8 8 8 7 nan
nan 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 11 11 11 11 10 10 9 9 10 10 10 8 8 7 7 7 8 8 8 7 7 7 8 8 9 10 10 9 8 7 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 10 9 9 8 8 8 nan
nan 11 11 11 11 10 10 9 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 8 7 8 8 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 8 9 9 10 10 10 11 11 10 10 10 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 8 8 9 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 10 10 9 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 12 13 13 13 13 12 10 9 9 9 nan
nan 12 13 12 12 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 13 14 14 13 12 11 10 10 nan
nan 13 13 13 13 12 11 11 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 11 10 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 8 8 8 6 5 5 5 6 7 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 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 9 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 11 12 13 13 13 12 11 11 11 nan
nan 11 11 12 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 8 6 4 4 4 5 7 8 8 8 8 8 8 8 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 12 12 11 nan
nan 8 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 9 9 8 8 9 9 9 9 8 8 8 7 7 8 9 10 8 6 5 5 5 6 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 10 10 9 8 8 8 8 8 9 9 9 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 10 9 9 10 10 10 10 11 11 11 11 11 12 12 11 nan
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nan 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 11 12 12 13 12 11 11 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 8 8 9 11 14 17 16 15 14 12 11 9 8 6 2 -0 0 2 5 8 9 9 10 10 10 10 9 9 9 9 10 9 9 10 10 11 12 14 14 12 8 5 1 -0 2 5 8 10 13 15 14 12 10 9 8 8 5 2 1 3 6 9 10 10 10 10 10 9 8 8 7 7 8 8 nan
nan 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 9 8 8 8 9 10 11 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 9 9 9 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 8 7 8 9 12 15 15 13 11 10 9 8 7 6 3 0 -1 -1 3 8 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 10 12 15 16 15 13 11 6 2 2 3 5 7 10 12 12 11 10 9 9 8 5 2 1 2 5 8 9 9 9 10 10 9 9 8 7 8 9 10 nan
nan 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 9 8 8 9 9 10 11 11 10 10 9 8 8 9 9 9 10 10 10 10 9 9 8 9 9 10 10 11 12 13 13 12 12 12 12 12 12 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 11 13 13 12 10 9 9 8 7 6 4 1 -2 -3 1 6 9 10 10 10 10 10 9 9 8 9 10 10 10 9 9 9 11 13 15 16 17 17 14 8 6 5 5 7 8 9 9 9 9 9 9 8 6 3 1 1 4 7 8 9 9 9 10 9 9 8 8 9 10 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 8 8 8 9 10 11 11 10 9 9 8 9 9 9 10 10 10 10 10 9 8 9 9 10 11 12 12 13 13 13 13 13 13 12 12 12 12 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 11 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 7 9 12 12 11 10 9 9 8 8 7 6 3 -2 -4 -1 4 8 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 11 14 18 20 19 16 12 9 8 8 8 9 9 9 9 9 9 9 7 4 1 1 3 6 8 9 9 8 9 9 9 8 8 10 11 13 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 8 8 9 10 11 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 9 10 11 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 11 12 11 10 9 9 9 10 10 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 10 11 11 9 8 8 9 9 8 7 4 0 -3 -2 2 6 9 10 10 10 11 11 10 9 9 9 9 10 10 9 9 9 9 9 11 15 19 20 20 18 14 11 10 9 10 10 10 10 10 10 9 8 5 2 -1 0 3 7 8 8 8 8 9 9 8 9 10 11 13 nan
nan 10 10 11 11 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 9 8 8 8 9 10 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 11 11 11 11 11 10 10 10 10 9 9 9 10 11 12 11 10 9 9 9 10 10 9 8 8 7 7 8 8 9 9 9 8 8 7 7 7 8 10 11 11 10 8 8 8 9 9 8 6 3 -2 -3 -0 5 8 10 10 10 10 11 10 10 9 9 10 10 10 9 9 9 9 9 9 11 14 17 19 20 17 13 11 10 10 10 10 10 10 10 9 9 7 3 -0 -2 0 5 7 8 7 7 8 8 8 7 7 8 10 nan
nan 10 10 11 11 11 11 10 10 10 9 9 9 9 10 11 13 14 14 13 12 11 9 9 10 10 11 11 11 10 10 11 11 11 12 12 12 11 9 8 8 9 11 12 12 13 13 13 12 12 11 11 11 11 11 10 11 11 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 11 11 10 10 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 8 7 8 9 10 12 12 11 9 8 8 8 8 8 7 5 0 -3 -2 2 7 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 12 17 19 18 14 11 10 10 10 10 10 10 10 9 9 8 5 1 -2 -1 2 6 7 7 7 7 7 6 4 3 4 6 nan
nan 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 13 14 14 14 13 12 10 10 10 11 12 12 12 11 11 11 11 11 11 11 10 9 9 9 9 11 12 12 12 12 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 10 10 10 9 8 8 8 9 9 9 9 8 8 9 9 8 7 7 7 8 10 12 12 11 9 8 8 9 8 8 7 3 -1 -2 1 5 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 11 14 17 16 14 11 10 10 10 10 10 10 9 9 8 8 6 3 -1 -2 0 5 8 7 7 6 6 5 4 2 1 3 nan
nan 11 11 10 10 10 10 11 11 10 10 10 9 10 10 11 12 12 12 13 13 13 12 11 11 12 12 12 12 11 11 11 11 10 10 9 8 7 7 8 10 11 12 12 12 12 12 12 12 11 10 10 10 9 9 9 9 10 10 10 10 10 11 11 12 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 10 10 11 11 10 10 9 9 9 9 9 10 10 9 8 8 8 9 9 9 9 8 8 8 8 8 8 7 5 3 5 9 12 13 13 11 10 9 9 9 9 6 1 -1 -0 4 8 9 9 9 9 10 10 11 11 11 10 10 10 10 11 10 11 11 10 10 12 14 16 15 13 11 10 10 9 9 9 9 9 8 8 8 7 4 0 -2 -0 5 9 9 8 7 7 6 5 3 1 2 nan
nan 12 12 11 11 10 10 10 10 10 10 10 9 10 10 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 7 8 10 11 12 12 13 13 13 12 11 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 10 11 11 12 12 11 10 10 10 11 12 12 11 10 10 10 10 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 11 9 7 5 5 9 12 15 15 13 11 10 10 11 8 4 1 -1 1 5 7 7 6 5 6 9 11 11 11 10 10 11 11 11 11 11 12 11 12 13 16 17 15 13 11 10 10 9 9 9 8 8 8 7 7 7 5 2 -1 1 6 10 10 9 8 7 7 5 3 1 1 nan
nan 13 13 12 11 10 10 10 9 9 9 9 9 9 10 11 12 13 13 12 12 12 11 10 9 8 7 6 6 6 6 7 7 7 7 8 9 9 9 10 11 12 12 13 13 13 13 12 11 10 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 12 12 11 10 10 10 10 9 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 11 15 16 14 11 7 6 10 14 17 16 13 11 11 12 10 7 3 -1 -1 1 3 4 2 1 3 7 11 11 10 10 10 10 11 11 11 12 12 12 13 14 17 17 15 13 11 11 10 10 9 9 8 8 8 7 7 6 5 4 3 5 7 9 9 9 8 8 7 6 3 2 1 nan
nan 13 13 13 12 11 10 10 9 9 9 9 9 9 9 10 12 13 13 12 12 11 10 9 8 7 6 6 5 5 6 6 6 6 6 7 8 10 11 12 13 12 12 12 13 13 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 12 11 11 13 15 17 17 12 7 7 11 15 17 15 13 12 12 11 9 7 2 -0 0 2 2 1 0 3 7 10 10 10 10 10 10 11 11 11 11 11 12 13 15 18 18 16 13 12 11 11 11 10 9 9 8 8 7 6 5 5 6 8 10 10 9 8 8 8 8 7 6 4 3 3 nan
nan 13 13 13 13 12 11 10 9 9 9 9 9 9 10 10 11 13 13 12 11 11 10 9 8 7 7 6 6 6 6 6 6 6 7 8 9 10 12 13 13 13 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 9 8 8 9 9 10 11 12 12 12 11 11 13 16 19 16 11 7 7 11 14 13 13 12 12 11 11 9 6 4 3 3 1 -0 -0 2 5 7 9 9 10 10 10 11 11 11 11 10 10 10 14 17 17 16 13 12 12 12 12 11 10 9 9 8 7 6 4 2 4 9 11 11 9 8 7 8 8 7 6 4 3 3 nan
nan 12 13 13 12 11 10 9 8 8 8 9 9 9 10 10 11 12 13 12 12 11 10 9 9 8 8 8 7 7 6 6 6 6 7 9 10 11 12 12 12 12 11 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 10 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 9 10 10 10 10 9 8 8 9 10 10 9 9 9 10 10 10 9 9 9 8 8 9 9 9 10 11 11 12 12 11 11 12 16 20 20 16 11 7 7 10 11 11 11 11 11 11 10 8 7 6 5 3 -0 -2 -2 -0 3 6 8 9 10 10 11 11 11 11 10 9 8 10 12 13 14 13 12 12 12 12 12 11 10 10 9 9 7 4 1 2 6 8 9 9 8 8 8 8 7 7 6 5 5 nan
nan 10 11 11 11 10 8 7 7 7 7 7 7 7 8 9 10 11 12 12 12 11 11 10 10 9 9 9 8 7 7 6 6 7 8 10 11 12 13 12 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 11 10 10 9 8 8 9 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 12 11 12 14 17 20 19 17 13 9 9 9 9 10 10 11 10 10 9 9 8 7 5 2 -0 -3 -4 -1 3 7 9 9 10 10 10 10 10 10 9 8 8 9 11 12 12 12 12 13 12 12 12 11 12 13 13 11 7 4 4 5 7 8 8 8 8 8 8 8 9 9 9 9 nan
nan 9 9 9 9 8 7 7 7 7 7 6 5 5 5 7 8 10 11 12 12 12 11 10 10 9 9 9 8 7 7 6 7 8 9 11 13 14 13 13 12 11 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 9 9 9 10 10 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 12 13 16 19 20 19 15 13 11 10 10 11 11 11 10 10 9 8 7 6 5 3 -1 -4 -3 1 5 8 8 7 6 6 6 7 9 9 9 9 10 11 12 12 12 13 13 13 13 12 13 14 17 19 19 16 12 10 8 7 8 8 8 8 8 9 10 10 11 11 10 nan
nan 9 8 8 8 7 7 7 7 7 7 6 6 5 5 6 8 9 11 12 13 12 11 10 10 9 9 9 8 7 7 7 8 9 11 13 15 15 14 13 12 11 10 10 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 11 11 13 17 21 22 21 20 18 17 15 15 14 13 12 10 10 9 8 7 7 5 2 -2 -3 -1 2 6 6 5 4 3 4 6 8 10 10 11 11 12 13 13 13 13 14 15 15 15 14 15 18 22 23 22 19 16 12 10 8 8 7 7 8 10 11 11 11 11 10 nan
nan 10 9 8 8 8 8 7 7 7 6 6 6 6 7 8 9 10 11 12 13 12 12 11 10 10 10 9 8 8 8 8 9 10 12 14 15 15 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 10 11 12 11 11 11 11 11 11 11 11 10 9 8 7 8 8 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 12 15 19 21 22 23 23 22 21 21 20 17 15 13 12 11 10 9 8 7 4 0 -2 -3 -0 4 6 6 5 5 6 7 9 11 12 13 14 14 13 14 14 15 16 16 16 15 14 13 14 17 19 19 19 17 15 12 10 9 8 7 8 9 10 11 11 11 10 nan
nan 10 9 9 9 9 8 8 7 7 6 6 7 8 9 9 9 10 11 12 13 13 12 12 11 11 10 10 9 9 8 9 9 10 12 13 15 15 15 14 13 12 11 11 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 11 11 10 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 10 11 12 14 15 17 19 20 20 21 22 24 22 20 19 18 18 17 14 12 10 9 7 5 3 4 7 10 11 11 10 10 10 12 13 15 16 17 15 13 13 13 13 13 13 12 11 9 7 7 10 13 16 17 17 16 15 14 13 12 11 10 10 10 11 11 11 11 nan
nan 9 9 10 10 9 8 8 7 7 7 7 9 10 11 10 10 11 12 14 14 13 13 12 12 11 10 9 9 9 9 10 10 11 12 13 14 15 15 14 13 12 11 11 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 15 15 16 19 23 24 23 23 23 25 25 23 20 17 15 14 14 13 13 15 16 16 17 16 15 15 14 14 14 14 14 13 10 8 8 8 8 7 6 6 5 3 4 7 13 17 19 20 20 19 18 18 16 14 12 11 11 11 11 10 10 nan
nan 9 9 9 9 8 8 8 8 8 9 10 11 12 12 12 11 12 13 14 14 13 13 12 11 10 10 10 10 10 11 11 12 12 13 13 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 11 10 10 10 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 15 18 20 20 20 20 23 26 26 25 22 19 17 16 16 17 17 17 17 18 17 17 16 14 12 12 12 12 11 9 8 8 9 9 9 8 8 8 8 8 10 13 16 18 19 20 19 18 17 15 13 12 12 12 11 11 11 10 nan
nan 9 9 9 8 7 8 8 9 10 11 11 11 11 10 10 10 11 12 12 12 12 12 11 10 10 10 11 11 12 12 12 13 14 14 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 10 11 11 10 10 10 10 10 8 8 8 9 9 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 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 12 13 13 13 13 14 16 18 19 20 18 17 15 14 13 13 14 14 14 14 14 14 15 15 14 14 14 16 16 14 13 13 14 15 16 16 15 14 13 12 12 12 12 13 14 14 14 13 13 12 11 11 11 12 12 12 12 12 nan
nan 9 9 8 8 8 8 9 10 10 10 11 10 10 9 8 9 10 10 11 11 11 11 10 10 10 11 11 12 12 13 13 14 15 15 15 14 13 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 9 10 11 10 10 10 10 11 11 10 8 7 7 8 8 9 9 9 10 10 9 9 9 9 10 10 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 11 11 11 11 11 12 12 12 11 13 15 15 15 16 18 18 17 16 15 15 16 16 16 15 14 13 12 11 11 10 10 10 10 10 9 10 10 10 10 11 11 11 12 13 14 nan
nan 10 9 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 10 10 10 11 11 11 12 13 14 15 15 15 15 14 13 12 12 12 11 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 9 10 12 12 11 9 8 7 7 8 9 9 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 10 10 8 7 6 6 7 8 9 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 9 10 10 10 10 11 12 12 12 13 13 13 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 11 12 14 nan
nan 10 9 9 9 9 9 9 8 8 8 7 7 7 7 8 9 10 10 11 11 11 11 10 10 10 10 10 11 12 13 14 15 15 15 14 14 13 13 12 12 11 10 10 10 10 11 11 11 11 11 11 11 12 12 11 10 10 10 10 11 11 12 12 12 11 10 9 10 12 12 11 10 8 7 8 9 10 10 10 10 9 9 9 10 10 11 11 10 8 7 6 7 7 7 6 7 8 9 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 12 11 10 8 6 3 1 1 1 3 5 6 8 9 9 9 9 9 9 10 12 12 10 7 4 3 5 8 9 9 9 9 9 8 8 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 12 nan
nan 10 10 9 9 9 8 8 9 9 9 8 8 8 8 9 10 11 11 11 11 11 10 10 9 9 9 10 11 13 14 15 15 15 14 14 13 13 13 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 13 12 12 11 10 10 11 11 11 9 9 8 9 10 10 11 11 10 8 7 7 8 9 10 12 12 10 7 5 5 4 2 2 2 3 6 8 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 10 10 12 13 14 14 12 10 8 6 3 1 -1 -3 -2 -1 1 3 5 6 6 5 4 6 8 12 14 11 6 1 -2 0 5 8 9 9 8 8 8 7 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 nan
nan 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 11 13 14 14 15 15 14 14 13 13 12 12 11 10 10 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 12 12 11 10 10 10 11 10 10 9 9 10 10 11 12 12 11 8 6 4 3 4 6 9 12 14 13 10 7 3 0 -2 -3 -4 -2 1 4 6 7 8 9 10 10 10 10 10 9 8 7 7 7 8 8 10 12 14 14 13 11 9 7 6 4 2 -1 -2 -3 -2 -1 1 2 2 1 -0 1 4 9 13 10 6 -1 -4 -2 3 7 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 nan
nan 9 9 9 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 12 13 14 14 14 14 14 14 13 13 12 11 11 10 10 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 13 14 15 13 10 6 1 -1 -0 2 6 12 15 15 12 7 3 -0 -3 -5 -6 -4 -2 -0 1 2 4 5 7 8 10 11 10 8 5 3 1 2 3 4 7 10 12 12 11 10 9 8 7 6 5 3 1 -0 -0 1 2 2 1 -1 -1 1 6 8 8 6 2 -1 1 4 7 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 9 9 8 8 8 9 10 10 10 11 11 11 11 10 10 10 10 11 11 11 10 10 9 9 9 10 11 12 13 14 14 14 14 14 14 14 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 12 14 17 19 18 15 9 3 -0 -1 -0 4 10 12 12 10 7 4 2 -1 -2 -3 -3 -2 -2 -2 -2 -1 0 3 7 11 13 11 8 4 -0 -2 -1 0 2 6 9 11 12 12 11 10 10 9 8 7 6 5 4 4 5 5 4 4 3 4 5 5 5 4 3 4 6 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
367 330 310 286 256 225 215 220 207 161 109 90 102 99 81 69 73 94 150 178 218 274 344 421 498 564 586 569 545 536 568 638 699 711 674 644 630 615 586 543 505 521 540 535 506 461 406 348 309 285 300 325 342 352 366 386 407 419 424 423 417 406 391 368 373 388 401 407 404 386 350 330 321 322 328 336 344 361 382 402 412 418 420 415 417 437 457 465 471 469 448 404 350 293 259 230 198 168 150 156 188 225 260 295 334 375 399 383 331 311 250 183 160 137 121 110 107 124 151 164 160 174 147 93 48 28 22 16 12 13 13 14 13 10 6 2 3 7 10 15 19 22 25 30 33 37 39 42 47 52 52 43 38 33 31 28 25 23 22 22 19 17 17 19 23 26 23 21 19 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
188 144 123 105 97 83 71 69 66 51 28 28 65 77 73 65 61 68 95 113 130 149 184 256 373 516 627 685 679 640 618 640 679 648 542 474 447 425 392 369 392 451 508 555 585 595 581 543 505 445 456 470 475 485 496 511 533 540 547 544 526 501 462 453 457 456 451 442 428 412 371 347 340 350 368 386 394 399 419 457 481 492 500 509 522 527 516 524 531 516 481 442 377 349 327 295 256 226 215 217 230 257 285 315 353 398 438 442 410 392 334 257 213 178 148 129 125 141 164 178 191 202 161 91 41 22 20 15 11 12 11 11 10 8 5 5 6 10 17 24 29 33 36 41 45 48 51 56 63 67 66 58 46 37 30 25 23 24 21 21 20 19 19 20 22 30 31 27 19 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
32 24 26 28 36 24 10 5 6 5 1 8 37 43 45 49 55 63 78 94 101 91 82 115 218 378 531 609 600 528 436 363 320 280 202 159 152 151 148 165 234 278 325 391 466 533 602 702 750 697 677 654 632 625 636 651 680 685 694 687 656 616 573 562 555 540 521 501 478 445 405 407 427 452 470 472 463 475 499 519 548 575 589 594 598 585 543 524 503 457 392 348 317 320 313 286 249 227 228 256 252 260 280 311 352 397 432 454 449 432 386 315 256 221 195 170 154 161 186 214 240 251 209 120 53 29 24 13 9 9 8 7 6 6 5 6 6 11 19 29 35 40 46 51 57 61 63 65 70 73 71 66 55 42 29 17 12 19 18 17 16 16 19 21 25 35 37 29 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 5 9 12 7 2 0 0 0 0 0 7 17 31 48 59 62 62 69 80 76 54 48 86 162 257 307 301 251 177 100 43 25 13 9 14 20 23 29 57 78 100 143 194 247 336 522 706 753 726 659 586 536 537 599 680 726 747 747 730 708 679 674 665 639 595 552 517 461 427 442 469 491 498 494 494 518 539 551 575 596 596 579 554 524 451 394 355 319 283 254 229 213 207 200 188 177 181 198 212 224 239 263 303 360 408 441 456 455 426 366 298 268 253 230 218 227 251 278 298 289 219 126 60 35 25 15 9 6 5 5 6 6 7 6 8 14 21 26 32 39 50 60 69 73 72 69 73 76 71 63 56 48 34 12 4 8 10 10 8 10 13 18 27 34 33 24 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 1 0 0 0 0 0 0 0 0 17 43 62 66 56 39 28 34 45 40 26 20 27 45 61 64 53 33 13 1 0 0 0 0 0 1 1 0 0 4 16 28 42 71 145 334 436 445 394 320 254 228 293 402 485 525 536 548 576 619 660 640 576 482 385 315 275 270 276 274 271 271 284 330 371 406 443 479 497 488 462 440 409 351 300 269 254 243 232 222 210 187 163 148 135 136 152 179 200 209 223 262 333 403 453 488 501 484 432 353 326 307 306 318 332 336 328 304 248 155 84 46 29 20 15 8 3 2 2 3 6 10 12 15 20 23 26 32 41 53 66 77 80 76 74 77 79 72 64 61 58 42 21 10 7 5 3 2 3 6 12 19 24 21 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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11 5 1 0 0 0 0 0 0 0 0 0 0 3 11 20 25 18 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 1 2 4 4 4 6 18 22 17 8 2 0 0 0 0 0 0 0 0 0 2 7 14 22 42 85 119 148 168 184 201 206 182 132 81 42 20 16 28 45 67 89 119 211 311 387 446 498 548 612 651 676 705 733 704 613 541 496 465 440 405 318 195 118 76 49 28 12 6 4 3 4 5 4 3 4 9 16 23 28 30 29 28 31 36 44 58 72 79 78 76 84 89 86 71 44 19 6 1 1 4 6 3 1 0 0 1 4 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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