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 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 8 7 6 6 7 9 9 9 8 8 7 6 6 6 7 6 5 5 6 7 9 11 11 11 10 9 9 10 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 6 5 5 6 7 7 7 7 6 6 6 6 7 8 9 9 8 8 8 9 10 10 10 10 10 11 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 9 9 10 10 10 9 8 6 5 5 6 6 6 5 4 5 7 10 13 15 14 11 8 5 4 4 5 7 9 9 10 10 11 11 10 7 5 5 7 8 9 9 10 10 10 10 10 9 9 8 9 10 10 10 11 12 12 11 9 9 9 9 9 8 8 8 8 8 8 8 7 7 nan
nan 7 7 6 6 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 7 6 6 6 8 9 9 9 9 8 8 8 7 7 6 5 6 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 9 9 8 8 8 8 8 8 7 8 8 7 6 6 6 7 8 8 7 6 5 5 4 3 4 6 7 8 8 8 8 9 10 10 10 11 12 12 11 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 7 6 6 8 11 14 16 16 13 9 6 5 5 5 6 8 9 9 9 10 11 12 11 8 5 5 6 6 6 7 8 9 10 10 10 10 10 10 11 11 11 11 12 12 12 10 9 9 9 9 9 9 8 8 8 9 9 8 7 7 nan
nan 5 5 4 5 5 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 8 6 6 7 8 10 10 10 10 9 9 8 7 6 6 7 7 8 8 7 7 7 8 9 9 9 8 8 9 9 9 8 9 10 10 10 9 9 8 9 9 9 8 7 8 8 7 6 7 7 8 9 8 7 6 5 4 3 3 3 4 6 7 7 8 8 9 9 10 11 12 13 13 11 10 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 8 9 9 9 8 7 7 8 11 13 16 15 13 9 6 5 5 6 7 9 10 9 9 9 10 11 12 11 9 7 7 6 5 4 5 7 8 8 9 10 11 11 11 12 12 13 13 12 12 11 10 10 10 10 10 10 9 8 7 8 8 9 8 8 7 nan
nan 4 4 4 4 5 5 6 6 6 7 7 8 7 7 7 7 8 8 9 10 10 9 7 7 7 9 10 11 11 10 9 8 7 6 6 7 7 8 8 8 8 7 7 7 9 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 7 7 7 7 7 7 8 8 9 9 9 7 6 5 4 4 4 4 4 5 6 7 8 8 9 9 9 10 11 12 12 11 9 8 8 8 9 10 11 11 10 10 10 9 9 8 7 8 9 10 10 11 11 11 10 9 8 8 8 9 9 8 8 8 10 12 13 13 11 8 6 5 5 6 8 10 13 14 13 12 11 11 11 12 11 9 8 8 7 6 6 6 6 5 6 8 9 11 11 11 12 12 13 13 12 12 11 11 10 10 9 9 9 8 7 7 7 8 9 9 8 8 nan
nan 4 4 4 4 4 4 5 5 6 7 8 8 7 6 6 6 7 8 9 11 11 10 8 7 8 9 11 11 10 10 9 9 8 6 6 7 8 8 8 8 9 8 8 8 9 10 10 10 9 9 8 8 8 9 10 11 11 11 11 11 11 11 9 7 6 6 6 7 8 9 8 8 7 7 7 6 5 5 5 5 5 5 5 5 6 8 8 9 8 8 8 9 9 10 9 8 7 7 7 8 8 9 9 9 9 9 9 7 6 5 7 10 11 11 11 11 11 10 9 9 9 9 10 9 9 10 11 11 11 10 9 7 5 5 5 6 8 12 15 17 18 18 16 14 13 12 11 10 9 8 7 7 8 9 8 7 5 5 7 9 9 9 10 10 10 10 9 10 12 12 11 10 9 8 9 9 8 7 7 7 8 9 9 9 9 nan
nan 4 4 4 4 4 4 5 5 5 6 8 8 7 6 5 5 6 8 9 11 11 10 9 8 8 9 10 10 10 9 9 9 8 7 7 7 7 8 8 8 9 8 8 8 9 10 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 9 8 7 6 7 8 9 8 7 6 6 6 6 6 6 5 5 5 6 6 5 6 7 8 8 9 8 7 7 7 8 8 8 7 6 6 6 7 7 8 8 8 8 8 7 6 5 5 8 10 11 11 11 10 10 9 9 10 11 11 11 11 11 11 12 11 10 8 7 6 5 6 7 9 13 16 18 19 20 19 17 15 13 11 10 9 8 7 6 6 7 9 9 7 6 7 8 8 8 8 8 7 7 6 7 9 11 12 11 10 9 8 8 8 8 8 7 7 8 9 10 10 10 nan
nan 5 5 5 5 5 5 5 5 5 6 7 8 7 5 4 5 6 7 9 10 10 9 8 7 7 8 9 9 9 9 9 8 7 7 7 7 7 8 8 8 7 7 7 8 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 6 4 3 4 5 6 6 6 5 5 5 6 6 6 6 7 8 8 8 7 6 6 6 7 7 8 7 6 6 6 6 7 7 7 7 7 7 6 5 5 6 8 10 11 11 11 10 9 9 10 11 12 12 12 12 12 12 12 11 10 10 10 9 9 10 12 14 17 18 18 17 17 16 15 13 11 10 8 8 7 6 5 5 6 8 8 7 7 8 9 8 7 7 6 6 6 6 6 8 9 10 10 10 10 9 8 8 8 8 8 8 8 9 10 10 9 nan
nan 5 5 5 5 5 5 5 5 5 5 6 7 6 4 4 5 6 7 8 8 8 7 6 6 6 6 7 8 9 9 8 7 7 6 7 7 8 8 8 7 6 6 7 9 10 10 10 9 9 8 8 7 7 6 7 7 7 7 7 8 7 7 8 8 9 8 8 7 5 3 2 2 3 5 6 6 6 6 5 5 6 6 5 6 7 8 8 8 6 5 5 6 6 7 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 8 10 11 11 11 10 9 9 9 10 11 11 12 13 12 12 12 12 12 12 12 12 13 14 15 16 17 16 14 13 13 13 12 11 10 8 7 7 7 6 4 4 5 7 7 7 7 8 9 9 8 7 7 7 7 7 7 8 9 8 8 8 9 9 8 7 7 8 8 8 9 9 10 9 8 nan
nan 6 6 6 6 6 5 5 4 4 5 5 6 7 5 4 5 6 7 7 7 7 6 5 5 5 5 7 8 9 9 8 7 7 7 8 8 8 8 8 7 7 7 8 9 10 10 9 8 7 7 6 6 5 4 4 5 5 5 6 6 6 6 7 7 8 7 6 6 4 3 2 3 4 5 6 7 7 6 6 6 5 5 5 6 8 9 9 8 6 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 9 9 9 9 10 12 13 12 11 11 12 13 13 13 14 14 15 15 14 13 11 10 10 10 10 10 10 9 7 7 7 7 6 5 5 5 6 6 6 6 7 8 9 8 8 8 9 8 7 8 9 9 8 7 7 8 8 8 7 7 7 8 9 10 9 9 8 8 nan
nan 6 6 6 6 6 6 5 5 4 4 5 7 8 7 6 6 6 6 6 6 5 5 4 4 4 5 7 8 9 9 8 7 7 7 8 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 6 6 6 5 5 4 4 5 5 6 6 6 6 6 6 5 5 6 6 5 5 5 5 6 8 8 8 7 6 6 5 5 6 7 8 9 9 9 7 6 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 9 10 10 9 9 8 8 9 11 11 11 11 10 11 13 14 13 13 13 13 13 12 11 9 9 9 9 9 9 10 9 7 8 8 9 10 9 9 10 9 8 7 6 7 9 8 7 6 6 7 7 7 7 8 9 8 7 6 7 8 8 7 7 7 8 9 9 9 9 9 9 nan
nan 8 7 7 7 7 7 6 5 5 5 5 7 9 8 6 5 5 5 5 5 4 3 3 4 5 6 7 8 9 9 8 6 6 7 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 6 5 5 5 6 6 6 6 6 5 5 6 6 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 9 8 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 8 10 10 10 9 9 10 10 9 8 8 8 8 9 9 9 9 9 10 11 13 12 10 10 11 12 12 11 11 10 10 10 9 9 9 9 9 10 11 13 13 12 14 15 14 12 10 10 10 10 8 5 3 4 5 7 7 7 8 8 8 7 6 7 7 8 7 7 7 8 9 9 9 10 11 11 nan
nan 9 8 8 8 7 7 7 6 6 5 6 8 9 9 7 5 4 4 4 4 3 3 3 4 6 7 8 9 9 8 7 6 7 8 9 9 9 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 7 6 7 7 7 7 7 6 6 6 6 6 8 9 9 9 8 8 7 7 7 8 8 9 10 10 9 8 7 7 8 8 7 7 8 8 9 9 8 9 9 8 8 8 8 8 9 9 9 8 8 7 8 9 10 10 9 10 10 10 9 8 8 8 8 7 7 7 8 8 9 10 11 10 8 8 9 11 12 13 12 12 11 11 11 10 9 9 10 11 12 13 12 13 15 16 16 15 14 14 13 11 8 4 3 4 7 8 8 7 7 7 6 6 5 6 6 7 7 7 8 9 9 9 9 10 11 12 nan
nan 9 9 8 8 8 7 7 7 6 6 6 7 8 8 7 5 4 4 4 4 3 4 4 5 6 7 8 8 8 8 7 7 8 9 10 10 10 9 8 7 6 7 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 10 11 11 10 9 8 8 8 8 10 10 9 8 7 6 6 6 7 9 10 11 12 11 9 7 6 6 7 7 7 8 8 9 10 11 11 11 10 9 8 8 9 9 10 10 10 10 9 8 8 9 10 10 10 10 10 9 9 8 9 9 9 7 6 7 8 8 8 9 9 8 8 8 8 9 11 13 13 12 11 11 11 10 10 9 10 10 11 10 9 11 13 14 15 15 15 16 15 12 8 5 5 7 9 9 9 7 6 5 4 4 5 5 6 6 6 7 9 9 9 9 9 10 10 10 nan
nan 10 9 8 8 8 8 7 7 7 6 6 6 7 8 7 5 5 4 4 4 5 5 6 6 7 7 7 8 8 8 8 8 8 9 10 10 10 9 7 6 6 7 8 8 8 9 9 9 8 8 8 8 9 9 10 11 12 12 11 11 12 13 12 12 11 11 11 11 11 11 9 8 7 6 5 6 7 8 9 10 11 12 11 9 7 5 5 6 7 7 7 7 8 9 11 11 11 10 9 9 9 10 10 10 10 10 11 11 10 9 9 9 10 11 10 9 8 7 8 9 11 10 8 7 8 8 8 8 8 7 8 9 9 8 8 10 13 13 11 10 9 9 10 9 9 9 9 8 8 8 9 10 11 12 14 15 15 15 12 10 8 9 11 11 10 9 8 6 4 3 3 4 5 5 5 6 7 8 9 9 10 10 9 8 8 nan
nan 10 9 8 7 8 7 7 7 7 7 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 9 10 10 9 8 8 7 7 7 8 8 8 8 9 8 8 8 8 9 9 10 10 11 11 11 10 10 10 10 11 11 12 13 14 13 11 9 8 7 6 6 6 7 8 8 8 10 12 13 12 10 7 5 4 5 6 6 6 7 8 9 10 10 9 9 9 9 10 10 10 10 10 11 12 11 9 9 9 10 12 12 11 9 7 7 8 10 11 10 8 9 9 8 8 9 9 9 10 11 10 9 8 10 12 12 11 9 8 8 9 9 9 9 9 8 7 7 7 7 8 9 11 13 14 13 12 11 11 12 12 12 11 10 9 7 5 4 3 4 5 5 5 6 6 7 9 9 9 9 9 8 7 nan
nan 10 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 8 8 8 7 7 7 8 8 9 8 8 8 9 9 10 10 10 10 9 8 8 8 9 9 10 11 12 13 13 11 8 7 6 6 6 5 6 7 7 8 8 10 12 14 13 10 7 5 4 4 5 6 7 8 9 9 9 8 8 8 8 9 9 10 10 10 10 11 12 11 10 9 10 12 13 13 11 8 7 6 7 9 10 9 9 9 9 9 9 10 10 11 12 12 11 9 8 9 10 11 11 10 8 8 8 9 10 10 9 9 9 9 8 7 7 8 9 10 11 11 11 12 12 12 12 12 11 11 10 8 7 6 5 5 6 6 5 5 6 7 8 9 9 8 8 8 8 nan
nan 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 10 11 11 10 8 7 7 7 7 6 6 6 6 7 8 8 9 10 10 10 9 9 9 8 7 6 6 6 7 9 9 9 9 9 9 10 11 11 10 9 7 7 7 8 9 10 10 11 12 12 11 9 7 7 6 6 6 5 5 6 7 8 9 11 12 12 11 10 8 6 4 4 6 7 8 8 9 9 8 8 8 8 8 9 9 10 10 10 10 11 11 11 10 10 11 12 12 12 10 8 6 6 7 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 9 10 10 11 11 10 10 10 10 10 9 8 8 7 7 7 6 5 5 5 6 7 7 7 7 7 7 8 nan
nan 11 10 9 8 8 8 9 9 9 9 9 9 8 7 7 9 11 12 12 11 9 7 6 7 7 7 6 6 7 7 8 9 10 10 10 10 9 9 8 8 7 6 5 6 8 9 10 10 10 9 10 10 10 11 9 8 8 8 8 8 9 9 10 10 11 11 10 9 8 8 7 7 6 5 6 7 8 9 10 11 10 9 8 8 7 6 5 4 6 7 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 11 9 8 6 6 7 9 9 9 9 9 9 10 10 10 10 9 9 10 11 11 11 10 9 8 9 10 10 9 8 8 9 9 10 10 10 9 9 8 8 7 7 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 6 5 5 5 5 6 6 6 6 7 7 nan
nan 11 10 10 9 9 9 10 10 10 10 10 10 9 8 8 9 10 12 12 11 9 7 7 8 8 7 7 7 7 8 9 10 10 11 10 9 9 8 8 7 7 6 6 7 8 9 10 10 10 9 9 8 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 8 9 10 10 10 9 6 5 6 6 6 6 6 6 7 7 7 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 10 8 7 7 7 8 9 9 9 8 9 9 9 9 9 9 9 9 10 11 12 12 11 9 9 9 10 10 9 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 6 6 7 8 8 9 9 8 8 7 7 7 7 8 8 7 7 6 5 5 4 4 5 5 6 6 nan
nan 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 11 11 10 8 7 8 8 8 8 7 7 8 9 9 10 11 10 9 8 8 8 8 7 6 6 6 8 9 9 10 9 9 8 7 7 7 7 8 9 10 11 10 10 10 10 9 9 9 8 9 8 8 7 8 7 6 6 6 7 8 8 8 8 7 6 5 5 6 6 7 8 8 7 6 5 5 5 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 12 11 9 7 7 7 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 11 12 11 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 7 7 6 6 5 5 5 5 6 6 nan
nan 10 10 11 11 11 11 11 12 12 12 11 11 10 9 8 8 9 9 9 8 7 7 8 8 8 8 7 7 8 9 9 10 11 10 9 8 7 7 7 6 6 6 7 8 9 9 9 9 8 7 6 6 6 6 7 8 10 11 11 10 10 9 8 8 8 8 9 8 7 8 8 8 6 6 6 7 7 7 6 6 6 6 6 6 6 7 8 8 8 7 6 5 4 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 10 8 7 7 7 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 10 9 10 10 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 12 13 12 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 nan
nan 10 10 11 11 11 11 12 12 13 13 12 11 10 9 8 8 8 7 6 6 6 7 8 8 8 8 8 7 8 9 9 10 10 10 8 7 7 7 7 6 6 6 7 8 8 9 8 8 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 7 8 8 9 8 8 8 8 7 6 6 7 8 8 7 6 6 6 6 7 7 7 8 8 8 8 7 7 6 5 4 4 5 6 7 7 8 8 8 8 7 8 8 8 8 8 9 10 10 10 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 10 10 10 10 9 9 10 10 10 10 11 11 10 9 8 9 10 11 11 12 11 12 12 13 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 8 6 6 nan
nan 10 10 10 10 10 10 11 11 12 12 11 10 9 8 8 8 7 6 5 5 6 7 7 8 8 8 8 7 8 8 9 10 10 9 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 9 8 7 8 9 10 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 5 5 6 6 7 8 8 7 7 7 7 7 7 7 7 8 8 9 9 8 9 9 8 7 7 8 8 8 9 9 9 9 9 10 10 10 9 8 7 8 9 9 9 9 10 10 10 10 10 11 12 11 9 9 9 10 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 7 nan
nan 10 9 9 8 8 8 9 9 10 10 10 9 8 7 8 8 7 6 5 6 6 7 7 7 8 8 8 8 8 8 8 9 9 10 9 9 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 5 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 7 7 8 8 9 9 9 9 9 9 10 11 11 10 7 7 7 8 9 9 10 11 11 10 10 10 11 11 11 10 9 9 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 10 10 10 10 9 9 9 9 8 8 nan
nan 10 9 8 8 8 8 7 7 7 7 7 7 6 6 7 8 7 7 6 7 7 6 6 6 7 8 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 7 6 6 7 7 8 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 8 9 8 8 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 9 9 10 10 11 9 7 7 7 8 9 9 11 12 11 10 9 9 10 11 11 10 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 7 7 7 8 8 nan
nan 9 9 9 9 9 8 6 5 5 6 6 5 5 6 7 8 8 8 7 7 7 6 6 6 7 7 8 8 7 7 7 8 9 10 10 10 8 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 8 8 7 6 5 5 6 7 7 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 8 8 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 9 9 9 9 10 10 9 8 8 8 8 8 9 11 12 11 10 8 8 9 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 7 7 7 7 7 nan
nan 9 9 9 9 9 8 6 5 5 5 5 5 5 6 8 9 9 8 8 8 7 7 6 6 7 7 7 7 7 7 6 7 8 9 10 9 8 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 8 7 5 5 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 9 9 8 9 9 9 9 9 9 9 9 8 9 10 11 11 9 8 8 9 10 10 10 10 9 9 8 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 nan
nan 9 9 8 8 8 7 7 6 6 5 5 5 6 7 8 10 10 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 8 7 6 6 6 7 7 7 8 8 8 8 8 7 7 8 8 7 7 7 8 8 8 7 8 8 9 9 8 8 7 7 6 7 9 9 8 7 6 7 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 10 10 9 8 8 10 10 10 9 9 9 9 10 10 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 11 10 10 10 9 10 10 10 10 10 10 9 9 nan
nan 9 9 8 8 7 7 7 7 6 6 6 6 6 7 9 10 11 10 9 9 8 8 7 7 7 7 7 8 8 6 5 5 7 8 9 9 8 7 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 8 7 8 8 8 8 8 9 9 9 8 8 7 7 6 7 8 10 10 9 8 7 8 8 9 9 9 10 10 9 8 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 8 8 9 10 10 10 10 9 8 8 10 10 10 9 9 9 10 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 9 nan
nan 9 8 8 7 7 7 7 7 7 6 6 6 7 8 9 10 12 12 11 10 9 9 8 8 8 7 8 8 8 6 4 5 7 8 9 9 8 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 6 7 7 7 8 9 10 10 9 8 8 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 9 10 11 11 10 8 8 9 10 11 10 9 8 8 9 10 10 9 9 9 9 9 10 10 11 11 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 13 12 12 11 11 11 11 10 10 10 9 9 9 9 9 nan
nan 9 8 8 7 7 6 7 7 7 7 7 7 8 9 10 11 12 12 11 10 10 9 9 9 8 8 8 8 8 6 4 5 7 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 6 7 7 8 8 8 9 9 9 8 8 10 10 11 10 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 10 11 11 11 9 8 9 10 10 10 9 8 8 9 9 10 9 8 8 9 9 9 9 10 10 11 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 11 11 12 12 11 10 9 8 7 8 8 nan
nan 10 9 8 8 7 7 7 7 8 8 8 8 8 9 10 11 12 13 12 11 11 10 10 9 9 9 9 9 8 6 5 6 8 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 7 7 8 9 9 8 8 8 8 8 9 10 11 12 12 11 10 8 8 8 9 9 8 8 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 11 11 10 9 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 12 12 11 9 8 7 7 7 nan
nan 10 10 9 9 8 8 8 8 8 9 9 8 9 9 10 11 12 13 13 13 12 11 10 9 9 9 9 9 8 6 5 6 7 8 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 8 7 7 8 10 11 12 13 12 11 10 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 8 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 8 10 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 12 12 11 10 9 8 8 7 nan
nan 10 10 9 9 9 9 9 9 10 9 9 9 8 9 9 10 10 11 13 13 13 11 10 9 9 9 9 9 8 7 6 6 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 10 10 10 10 9 8 8 8 9 10 11 12 12 11 11 9 8 8 8 9 8 7 7 8 8 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 8 7 8 10 11 10 9 8 7 8 8 9 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 10 9 8 nan
nan 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 10 10 11 12 12 11 9 9 9 9 9 9 8 7 7 7 7 8 8 9 10 11 11 10 10 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 9 8 8 9 9 8 7 7 7 8 9 9 9 9 10 10 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 9 10 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 8 8 9 10 10 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 10 10 9 nan
nan 10 10 10 11 11 11 12 11 11 11 10 9 9 10 10 10 9 9 11 12 11 10 9 8 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 10 10 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 8 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 10 10 10 10 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 10 11 11 10 9 8 8 9 10 10 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 10 11 10 10 9 9 9 9 9 9 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 nan
nan 11 12 12 13 13 13 12 12 12 11 10 10 10 11 11 10 10 10 11 12 11 9 8 8 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 7 7 8 8 8 7 7 8 8 9 9 10 10 11 11 10 8 7 7 7 7 7 7 7 8 9 9 9 9 8 7 6 6 7 9 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 8 7 8 9 10 10 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 11 11 10 nan
nan 12 12 12 13 13 13 13 14 13 12 12 11 11 11 11 11 10 10 11 12 11 10 9 9 9 8 8 9 9 9 9 9 9 9 10 10 11 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 7 7 8 9 9 10 9 9 10 11 10 9 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 10 11 11 9 8 8 9 10 9 9 10 11 12 12 12 11 11 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 10 9 9 9 9 8 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 11 nan
nan 9 10 10 11 11 12 12 13 13 13 12 12 11 11 11 10 10 10 12 12 12 10 9 9 7 7 8 9 10 10 10 10 10 10 11 11 11 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 10 10 10 10 10 10 11 11 10 10 9 9 9 8 8 8 9 10 10 10 9 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 8 9 10 11 11 9 9 9 10 10 9 9 10 11 13 13 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 10 10 10 11 11 12 12 12 12 12 nan
nan 6 6 7 8 8 9 9 10 10 11 12 12 12 11 11 10 10 11 12 12 11 10 9 8 6 5 6 8 10 10 11 11 11 11 11 12 12 11 10 10 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 10 10 11 11 10 9 9 9 9 9 8 8 8 9 10 10 10 10 10 9 8 7 7 7 7 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 10 11 12 13 12 11 10 10 10 9 10 11 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 12 nan
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nan 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 12 13 14 15 15 15 15 15 15 14 14 14 15 14 14 13 12 12 12 13 13 12 11 10 9 9 8 8 7 7 8 8 8 8 9 9 9 8 8 9 10 11 11 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 6 6 5 4 6 10 12 11 9 8 8 8 9 8 8 7 5 2 2 4 7 8 8 8 9 10 11 11 10 10 10 10 10 9 9 9 10 11 10 9 8 6 3 2 3 4 6 8 8 9 8 9 9 9 10 10 9 9 8 7 7 8 9 9 9 8 8 9 9 10 9 9 9 9 9 10 nan
nan 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 11 13 14 15 16 17 17 16 15 14 14 14 14 14 13 12 12 11 12 13 14 13 11 10 9 8 7 7 6 7 7 8 8 9 10 9 9 9 9 10 10 11 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 5 5 6 8 11 11 9 8 7 8 9 9 9 8 5 2 2 3 6 7 8 9 9 10 10 10 10 10 10 11 11 10 9 9 10 11 11 11 10 7 3 0 -1 0 4 7 8 9 8 8 8 8 9 10 9 9 8 8 8 9 10 10 9 8 9 10 10 10 10 9 9 10 10 10 nan
nan 7 8 8 9 9 9 9 8 8 8 9 10 11 11 11 11 12 12 13 14 16 17 18 17 16 15 14 14 14 14 13 12 11 11 11 12 13 13 12 11 9 8 7 6 7 7 8 8 9 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 11 12 10 8 7 7 8 8 9 8 5 2 1 2 4 7 9 9 9 10 10 10 9 9 10 11 12 11 10 10 10 10 12 14 15 12 8 4 1 0 2 4 6 7 7 7 7 8 9 9 9 9 8 7 7 8 10 9 9 9 10 10 11 11 10 10 10 10 10 10 nan
nan 7 8 7 7 8 8 8 7 7 7 8 10 11 12 12 12 12 12 13 13 14 16 17 17 17 15 14 14 14 13 12 11 11 10 10 11 11 12 12 12 10 7 6 6 7 8 9 9 9 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 12 13 12 9 7 6 7 7 8 7 5 2 -0 -1 2 6 9 9 9 9 10 9 9 9 9 11 12 12 12 11 10 10 11 15 17 16 14 11 6 2 1 1 2 3 3 4 5 7 8 8 9 8 8 7 7 7 8 8 9 10 11 11 11 11 10 9 9 9 10 10 nan
nan 8 8 7 7 7 7 7 7 7 8 9 10 11 12 12 12 12 12 12 12 13 15 16 17 17 16 15 14 13 13 12 11 10 9 9 10 10 11 12 12 10 8 7 7 8 9 9 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 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 8 8 7 6 6 6 6 7 8 8 9 9 9 9 10 10 11 12 14 13 11 9 7 6 6 7 7 5 3 -0 -2 0 5 8 9 9 9 9 9 9 9 9 10 11 12 12 11 11 11 11 13 15 17 17 16 12 8 4 2 2 2 2 3 5 6 7 7 8 8 7 6 6 5 6 8 9 10 11 10 10 9 8 7 8 9 10 10 nan
nan 9 8 8 8 7 7 7 7 7 8 9 10 11 11 11 11 11 10 11 11 12 14 16 17 17 16 14 13 13 12 11 10 9 9 9 9 10 10 11 11 9 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 12 14 14 14 11 8 7 7 6 6 6 4 1 -2 -1 4 7 9 8 8 9 9 10 9 9 9 10 11 11 11 11 11 11 11 12 14 16 18 17 14 11 8 6 6 6 7 7 7 7 7 7 7 6 5 3 2 4 7 10 11 11 10 8 7 6 6 8 9 9 10 nan
nan 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 9 9 10 11 12 14 16 16 16 15 14 13 12 11 10 9 9 9 9 9 10 10 10 10 9 8 8 8 9 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 9 10 10 10 9 8 7 8 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 10 10 11 13 15 16 13 10 8 7 7 7 7 6 2 -1 -2 2 6 8 8 8 9 9 10 10 9 9 10 10 10 11 11 11 11 11 11 12 14 17 19 18 17 14 11 10 9 9 8 8 7 7 7 7 7 6 3 2 3 6 10 11 10 8 7 7 6 8 8 8 8 9 nan
nan 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 16 16 15 14 13 12 11 11 9 9 8 9 9 10 10 10 10 9 9 8 8 9 10 11 11 11 11 12 12 12 12 12 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 11 12 14 16 16 12 10 9 8 9 9 7 4 -0 -3 -1 3 7 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 14 16 18 19 17 14 12 11 10 10 9 9 8 8 8 8 8 6 4 3 4 7 9 9 8 8 8 7 6 4 3 3 6 nan
nan 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 14 15 15 14 13 12 11 11 10 9 8 8 8 9 10 10 9 9 8 8 9 9 10 11 12 12 11 11 11 12 12 12 11 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 11 10 10 10 10 10 9 8 7 8 8 9 10 10 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 12 14 17 17 14 12 10 10 10 11 10 7 2 -2 -3 1 6 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 11 11 11 11 13 16 18 17 14 12 11 10 10 10 10 10 10 10 10 9 8 6 3 3 4 6 8 8 7 6 4 1 -1 -2 -0 3 nan
nan 8 9 9 9 9 9 9 10 11 11 11 11 10 9 9 8 8 9 10 11 13 14 14 14 13 13 12 11 10 9 8 7 8 8 9 10 9 8 8 8 9 10 11 12 13 13 13 12 11 11 11 11 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 11 11 10 10 10 9 8 8 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 9 9 9 10 12 16 18 17 14 12 11 12 12 11 10 5 -1 -2 -0 5 9 9 8 8 8 9 8 8 8 8 9 9 9 9 10 10 10 10 11 11 12 14 16 16 14 11 10 10 10 10 10 10 11 11 11 10 10 8 5 3 3 5 6 5 3 2 1 1 1 1 3 5 nan
nan 9 8 8 8 8 8 8 9 10 11 11 11 10 10 9 8 8 8 9 11 12 13 14 13 13 12 11 10 9 8 7 7 8 9 9 9 9 8 8 9 11 12 14 14 15 14 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 10 9 9 8 8 8 9 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 12 12 11 11 10 9 8 7 8 12 16 17 17 14 13 12 12 12 11 7 2 -2 -2 3 8 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 12 14 15 15 13 11 10 10 10 10 10 11 11 11 11 11 10 9 6 4 4 5 6 4 2 1 2 4 6 8 8 8 nan
nan 10 10 9 8 7 7 8 9 9 10 11 11 11 10 9 9 8 8 9 10 11 13 13 13 13 12 11 9 8 7 7 7 8 9 10 9 8 8 9 11 14 15 15 15 14 14 13 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 10 10 10 10 11 11 11 11 9 9 8 9 10 11 11 10 9 8 8 8 9 9 9 9 9 9 8 8 9 10 11 12 12 12 13 13 12 12 12 12 11 9 8 8 11 15 17 17 15 13 12 13 12 9 4 -1 -5 -2 3 7 9 9 8 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 12 14 15 14 12 10 10 10 10 10 10 10 11 11 11 11 10 9 8 6 5 5 6 5 5 4 5 7 8 8 8 8 nan
nan 11 11 11 10 9 8 8 8 9 10 11 11 12 11 10 10 9 8 8 9 10 12 13 13 12 11 10 8 7 7 7 8 9 10 9 9 9 11 13 15 16 16 15 14 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 11 10 10 10 11 11 10 10 10 9 9 9 9 10 11 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 10 11 12 13 14 14 14 13 13 15 15 15 13 9 7 10 14 18 17 15 13 12 12 10 6 1 -4 -6 -2 1 4 4 4 4 6 8 8 7 7 8 8 9 9 10 10 11 10 11 12 14 15 14 12 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 7 6 5 6 7 7 7 7 8 8 8 9 nan
nan 10 11 11 11 10 9 8 8 9 10 11 12 12 12 12 11 10 8 8 9 10 11 12 12 12 11 9 8 7 7 7 9 10 10 9 10 12 14 16 17 15 14 13 12 11 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 11 11 11 10 11 10 10 11 11 10 10 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 12 14 15 15 14 13 14 15 17 17 13 7 7 11 16 18 16 13 12 12 11 9 6 1 -3 -3 -3 -1 -1 -1 2 6 8 8 7 7 8 8 9 9 10 10 10 10 11 13 15 16 14 12 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 8 7 7 7 7 7 7 8 8 10 12 nan
nan 10 10 10 10 10 9 9 9 9 11 12 13 13 12 12 11 10 9 9 9 10 10 11 11 11 10 9 8 7 7 8 9 10 10 11 12 14 16 16 15 13 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 8 9 10 9 8 8 8 8 9 9 9 9 9 10 10 9 8 8 8 7 7 8 9 10 11 12 14 15 15 14 13 14 17 20 17 11 7 7 11 15 14 13 12 11 11 11 10 7 3 1 -1 -3 -4 -4 -1 3 6 7 8 8 8 9 9 9 10 10 10 10 10 12 15 15 14 12 10 9 9 9 9 9 9 9 9 8 8 7 5 6 8 9 9 8 7 7 7 7 7 7 9 11 13 nan
nan 10 10 9 9 9 9 9 9 9 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 7 6 6 7 9 10 11 12 13 14 14 13 11 10 9 8 8 8 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 11 12 12 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 8 9 10 10 9 8 7 7 9 9 9 9 9 9 10 10 9 9 8 8 7 8 8 8 9 10 11 12 13 14 14 13 14 17 22 21 17 12 8 8 10 11 11 11 11 11 11 11 9 8 6 4 1 -3 -5 -5 -2 1 5 7 9 9 10 10 10 10 11 11 10 8 8 10 12 12 11 10 9 9 9 9 9 9 9 9 9 7 5 3 2 3 5 6 7 6 6 6 6 7 10 12 14 14 nan
nan 11 10 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 8 6 6 6 8 9 11 12 13 12 11 10 8 8 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 12 12 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 7 7 8 9 9 9 8 9 9 10 9 9 8 8 8 8 9 9 9 10 11 11 12 13 13 13 13 15 19 21 21 19 14 10 9 9 10 10 10 10 11 10 10 10 9 8 5 2 -2 -6 -7 -4 1 6 9 10 10 10 10 10 11 10 10 7 6 7 8 9 9 9 10 10 10 10 9 10 10 12 12 10 7 4 3 3 4 5 5 5 6 6 8 11 14 17 18 16 nan
nan 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 11 11 11 11 11 11 10 11 11 10 10 9 8 7 6 6 7 9 10 11 11 11 10 9 8 7 7 7 7 8 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 9 9 8 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 14 17 21 23 21 16 14 12 11 11 11 11 11 11 10 10 10 10 9 6 3 -2 -6 -6 -2 4 8 10 9 9 8 8 8 8 8 7 6 6 6 7 8 9 9 10 10 10 10 11 13 16 18 18 15 12 9 7 6 6 6 6 7 9 12 16 19 19 18 15 nan
nan 10 10 10 9 9 9 9 9 9 9 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 8 9 10 11 11 11 10 10 9 8 8 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 12 12 12 11 11 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 12 12 12 11 12 14 19 23 24 23 21 19 18 17 16 15 13 12 11 10 10 10 10 9 7 3 -3 -6 -5 -1 4 7 7 6 5 5 5 6 6 6 6 6 6 7 8 9 10 11 13 13 14 14 15 18 21 22 21 19 15 11 8 7 7 7 9 12 16 18 19 17 14 12 nan
nan 11 10 10 10 9 9 9 9 9 9 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 11 12 13 13 12 12 11 10 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 10 11 11 11 11 11 11 10 10 11 11 10 10 8 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 15 19 22 24 24 24 24 23 22 21 19 16 14 13 13 12 11 11 10 7 2 -3 -6 -4 1 5 7 7 6 5 6 6 7 8 9 10 10 9 10 12 14 16 17 17 17 15 14 15 16 18 18 17 15 13 10 9 9 10 12 14 16 17 16 14 12 11 nan
nan 11 11 11 10 10 9 9 9 9 9 9 10 11 12 12 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 11 12 13 14 14 14 13 13 12 12 11 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 9 8 8 7 8 8 9 9 10 10 10 10 10 10 10 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 13 14 16 18 20 21 21 22 23 25 24 21 20 20 20 19 17 15 14 13 11 9 5 5 8 10 13 13 12 11 11 11 12 14 16 17 15 13 12 13 14 15 14 13 12 10 7 7 9 13 15 15 15 15 15 15 15 16 17 16 15 14 13 12 11 10 nan
nan 11 11 11 11 10 9 9 8 8 8 9 10 11 11 11 10 10 11 11 12 11 11 11 11 10 10 10 10 10 11 12 14 15 15 14 14 13 13 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 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 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 13 14 15 15 17 19 23 25 24 24 24 26 27 26 24 22 21 21 21 20 19 18 19 20 21 20 19 18 16 16 17 18 18 16 11 8 7 7 7 6 5 4 3 2 3 6 12 17 19 21 22 22 21 21 21 19 17 14 12 11 11 10 10 nan
nan 11 11 11 11 10 10 9 9 8 8 9 9 10 10 10 10 10 10 11 12 12 12 12 11 10 10 10 10 11 12 13 14 15 14 14 13 13 13 13 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 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 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 13 15 18 20 20 20 20 23 26 27 27 26 24 22 21 21 20 20 20 20 21 21 20 20 18 16 15 15 15 13 9 6 6 7 7 7 6 6 7 7 8 9 13 17 20 22 23 23 22 20 19 16 14 12 11 10 10 9 9 nan
nan 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 10 11 11 13 14 14 14 14 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 8 9 9 9 9 9 9 10 9 8 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 14 13 14 15 17 19 20 20 18 17 15 14 14 15 15 16 16 16 16 17 17 16 16 16 17 17 14 13 13 15 16 17 17 16 15 14 13 13 13 14 15 16 17 17 16 15 14 12 11 11 10 10 9 9 9 nan
nan 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 12 12 13 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 9 9 10 10 9 9 9 10 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 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 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 12 12 11 11 11 11 12 13 13 13 13 14 15 16 16 17 19 19 18 17 16 17 18 19 19 18 16 14 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 10 10 nan
nan 11 10 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 9 10 11 11 11 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 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 10 11 10 10 9 8 7 6 7 8 9 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 10 11 12 11 11 12 13 13 14 15 15 15 15 14 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 11 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 13 12 12 11 10 10 10 10 11 11 12 12 12 13 13 13 13 12 12 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 10 11 11 12 12 12 11 10 9 9 9 10 11 10 9 8 8 8 9 9 9 9 9 8 8 8 9 10 10 10 9 7 6 5 5 5 4 5 5 7 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 11 10 8 6 3 1 1 1 3 5 6 8 9 9 9 9 9 9 10 11 11 9 6 4 3 5 9 10 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 nan
nan 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 12 13 13 12 12 11 10 10 10 10 10 10 11 11 12 13 13 13 13 13 12 11 11 10 10 10 10 9 9 10 10 10 10 9 10 10 10 10 9 9 9 10 11 12 12 13 12 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 8 6 5 5 6 7 9 10 10 9 6 4 2 1 -1 -2 -1 -0 3 5 7 8 9 10 10 10 10 10 10 9 9 9 8 8 9 9 10 11 12 14 14 12 10 8 6 3 0 -2 -4 -3 -2 -0 2 5 6 6 5 5 6 7 11 12 10 6 2 -1 1 6 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 nan
nan 13 12 12 11 10 10 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 12 12 13 13 13 13 12 12 11 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 10 9 9 9 10 9 9 9 9 9 10 10 11 11 10 6 3 1 -0 0 2 6 9 11 10 8 5 1 -2 -4 -6 -7 -6 -3 -0 2 4 5 7 9 10 10 10 10 9 7 6 6 5 6 7 8 10 13 14 13 11 9 7 5 4 1 -2 -3 -4 -4 -2 -0 2 2 1 0 1 3 8 12 11 9 4 0 1 5 9 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 nan
nan 13 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 11 13 14 15 13 9 5 -1 -4 -4 -2 1 6 10 11 10 7 3 1 -2 -5 -7 -7 -7 -5 -4 -3 -1 2 5 8 10 11 11 8 5 2 -1 -0 1 2 5 8 11 12 11 10 9 8 7 6 4 2 1 -1 -1 -0 1 2 1 0 -0 1 5 9 11 11 9 6 6 7 9 11 11 11 11 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 12 11 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 10 10 9 9 9 9 10 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 12 15 17 19 19 17 11 4 -0 -3 -4 -1 4 7 9 9 8 7 5 2 -0 -2 -4 -5 -6 -7 -7 -6 -4 1 6 11 13 12 9 5 0 -2 -2 -1 1 3 6 8 9 10 10 10 9 9 8 7 6 5 4 4 4 5 4 4 3 3 4 6 7 9 9 9 9 10 10 11 11 11 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 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
88 84 97 123 130 121 123 111 81 50 29 18 11 7 4 4 8 11 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 15 42 83 141 164 163 157 128 107 106 98 92 101 128 153 151 92 37 10 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 12 45 94 131 123 86 71 64 55 42 34 37 40 34 26 24 26 30 33 34 47 44 34 25 20 18 19 23 38 46 52 55 56 51 41 35 33 31 27 22 17 12 10 7 5 4 3 1 0 0 0 0 0 4 14 22 25 26 27 27 21 12 3 0 0 0 0 0 0 0 0
9 9 12 16 14 5 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 48 72 87 95 89 69 51 44 50 62 68 59 34 10 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 1 5 11 22 30 26 14 21 29 31 26 19 18 16 14 13 14 22 34 44 50 59 56 42 25 12 6 6 13 30 43 52 59 62 58 46 38 33 29 24 18 13 8 5 3 1 0 0 0 0 0 0 0 1 5 17 29 30 30 27 23 15 5 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 17 24 31 36 26 19 25 33 27 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 15 19 21 21 18 14 9 6 6 9 17 32 46 53 58 59 50 34 18 7 3 2 12 26 41 54 64 69 58 48 42 37 30 22 17 10 4 2 1 0 0 0 0 0 0 0 0 3 10 23 30 29 23 16 9 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 1 1 0 0 0 4 6 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 1 1 1 2 2 4 8 15 21 21 18 15 10 6 6 11 22 39 54 59 57 57 53 44 30 14 5 3 8 15 27 43 59 69 65 50 46 45 41 31 23 19 12 6 3 1 0 0 0 0 0 0 0 1 6 18 27 25 18 10 4 1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 3 7 9 15 18 17 15 13 13 21 32 48 63 69 64 57 51 43 33 19 6 5 7 12 20 31 47 62 66 54 44 43 46 46 41 32 27 21 17 12 5 0 0 0 0 0 0 0 3 10 21 21 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 2 7 11 13 15 17 19 22 26 35 49 61 71 75 72 65 56 46 36 20 7 10 19 24 27 31 38 46 53 50 42 39 42 46 51 59 53 46 42 40 30 14 3 1 0 0 1 4 11 19 20 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 3 11 16 21 24 26 30 38 48 63 72 76 78 76 72 68 56 46 35 24 19 29 41 44 41 41 42 40 35 32 35 39 45 50 56 62 60 52 49 48 41 24 10 3 1 1 2 4 7 11 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 25 36 42 43 42 50 57 65 68 70 70 68 67 65 62 58 51 47 48 54 57 55 48 44 41 33 27 32 43 51 51 49 47 45 40 37 39 45 45 32 19 10 3 0 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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