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 11 10 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 12 13 13 13 12 11 11 11 11 10 10 10 11 10 10 9 8 8 8 9 11 11 10 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 11 12 12 11 8 7 6 6 7 9 10 11 11 11 9 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 6 6 7 9 10 12 12 12 11 10 9 8 9 9 10 11 11 9 7 8 8 9 10 11 11 11 11 10 10 10 11 12 13 13 13 13 13 12 11 10 9 9 9 10 10 9 9 9 9 10 10 10 10 11 11 10 9 8 8 7 nan
nan 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 10 11 12 12 12 12 12 11 11 11 11 11 11 12 13 13 12 11 9 9 9 11 12 13 13 12 12 12 12 11 10 9 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 9 10 10 9 10 10 10 11 12 12 11 9 7 6 6 6 8 9 10 11 10 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 12 12 12 12 12 12 11 10 10 10 10 10 11 11 10 10 9 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 14 14 13 12 11 11 10 10 10 10 9 9 10 10 10 10 11 11 11 11 10 9 8 7 7 nan
nan 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 13 14 13 12 10 9 10 11 12 13 13 13 13 13 14 14 14 12 11 9 9 10 10 10 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 9 9 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 9 7 6 5 6 7 8 10 10 10 9 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 11 12 14 14 14 13 12 12 12 12 12 12 12 12 13 14 14 14 12 11 10 10 9 9 9 9 9 10 10 11 12 13 13 13 13 14 14 13 13 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 nan
nan 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 9 9 9 10 11 11 11 11 11 10 10 11 11 11 11 10 9 10 12 12 11 10 9 10 10 11 11 11 11 11 12 13 15 15 14 12 11 10 11 12 12 11 10 10 10 10 9 9 8 8 7 7 7 8 8 8 7 8 8 9 9 9 9 9 10 10 11 12 12 13 13 13 13 13 12 12 12 12 13 13 13 13 12 9 7 7 6 6 7 8 10 11 11 9 7 5 5 6 7 8 9 10 10 10 9 9 9 10 11 12 14 15 16 16 15 14 12 12 13 14 15 15 15 15 15 17 18 17 14 11 9 9 9 9 8 8 8 8 9 10 11 11 12 13 14 14 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 nan
nan 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 10 9 9 10 11 12 11 9 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 11 12 13 13 12 10 10 10 12 12 11 11 10 10 10 10 9 9 8 7 7 6 6 7 7 7 8 8 8 9 9 9 9 10 11 12 13 14 15 15 15 15 14 13 12 12 13 13 14 13 13 11 10 8 8 8 7 8 9 11 12 11 10 9 7 6 6 8 10 11 12 12 11 11 11 12 14 15 16 16 17 18 18 16 15 13 13 13 14 14 15 15 15 16 17 17 15 12 10 8 8 8 8 7 7 6 6 7 8 9 10 11 14 16 15 14 13 12 11 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 nan
nan 8 9 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 9 8 8 9 10 11 12 10 9 8 9 9 9 8 8 8 8 8 9 9 8 8 8 9 11 11 11 10 10 9 9 10 10 10 10 9 9 9 9 8 8 7 6 5 5 6 6 7 8 9 9 9 9 10 11 11 11 11 11 12 13 14 14 15 14 14 13 12 12 12 13 13 12 12 11 10 9 10 10 10 10 11 12 12 12 11 10 9 8 8 9 11 12 13 13 13 13 14 16 17 17 16 15 15 16 15 15 14 13 13 12 11 11 11 12 12 13 13 12 11 9 8 7 7 7 6 6 5 5 6 7 8 8 9 11 13 15 15 14 13 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 nan
nan 8 10 11 10 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 7 6 7 8 10 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 7 8 9 9 10 10 11 11 11 11 12 12 12 11 10 10 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 10 10 10 10 10 10 11 11 12 13 14 14 14 15 15 16 15 14 12 11 10 11 11 12 12 12 12 12 11 9 8 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 9 10 11 11 11 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 10 11 11 9 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 6 6 6 8 9 10 10 10 9 9 9 9 8 8 7 7 7 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 12 12 11 10 8 8 8 9 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 10 9 8 9 10 12 13 14 14 14 13 13 13 13 13 13 12 11 9 7 7 7 8 9 9 10 11 12 13 11 9 7 5 4 5 6 7 7 6 6 5 5 6 6 7 7 8 8 7 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 8 10 11 11 10 8 8 7 8 8 8 8 8 8 8 8 8 7 7 6 5 6 6 7 7 7 7 7 7 8 9 9 9 8 9 9 9 8 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 12 12 12 11 11 11 11 11 11 10 10 10 10 9 8 6 6 6 7 9 11 12 12 11 11 11 11 10 10 10 11 11 11 11 10 10 11 11 10 9 9 9 10 11 14 16 16 15 14 13 12 12 11 11 10 9 7 6 5 5 6 7 7 8 8 10 11 12 11 9 7 5 5 6 7 7 8 7 6 6 6 7 7 8 8 8 8 7 6 6 6 7 6 6 5 6 7 8 8 8 7 6 6 7 7 8 7 7 8 8 8 8 8 8 8 9 9 10 10 nan
nan 10 11 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 4 3 4 5 6 7 8 8 8 9 9 9 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 7 6 5 5 6 6 7 7 7 7 8 9 10 11 11 11 10 11 11 11 11 11 10 9 9 8 8 7 6 5 5 5 7 8 10 11 11 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 11 11 12 13 14 15 15 14 13 12 11 11 10 9 9 8 7 6 6 6 6 7 7 7 7 8 9 10 10 9 7 7 7 8 8 8 9 9 8 8 7 7 8 9 9 9 9 8 7 7 7 7 6 5 6 7 8 9 9 8 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 nan
nan 11 13 14 14 13 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 4 3 3 4 6 7 8 8 9 9 9 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 8 7 7 6 6 7 7 7 6 5 4 4 5 6 6 7 7 8 9 9 10 10 10 10 11 11 11 10 9 9 9 8 8 8 7 6 5 5 6 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 11 12 13 14 15 15 14 14 13 13 13 12 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 9 9 10 9 9 8 8 8 8 8 9 9 8 8 7 7 7 6 6 7 8 8 9 9 8 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 10 10 nan
nan 12 13 13 13 12 11 10 9 8 8 7 7 7 8 8 8 8 9 9 8 5 4 4 5 6 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 7 7 8 8 9 9 8 6 4 4 4 6 6 6 7 7 8 9 10 10 10 11 11 11 11 10 9 9 8 8 8 9 8 7 7 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 12 13 15 16 17 16 15 13 13 13 13 13 12 12 11 10 8 7 7 7 7 7 8 8 8 7 7 6 6 7 7 8 9 9 8 8 8 8 9 9 9 9 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 5 6 6 6 6 7 7 7 8 8 8 8 8 9 8 nan
nan 12 12 12 11 11 10 9 9 8 8 8 7 8 8 9 9 9 9 9 8 6 5 5 6 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 6 7 7 7 8 9 9 8 8 8 9 10 11 11 11 9 7 6 5 6 7 7 8 8 9 10 11 11 11 10 11 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 12 14 15 16 16 16 15 14 13 13 12 12 12 12 11 9 8 6 6 6 6 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 11 11 9 7 7 7 6 5 6 7 8 8 9 8 8 7 8 8 9 9 9 8 6 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 nan
nan 12 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 7 6 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 6 7 7 8 8 9 10 10 9 9 9 10 11 12 12 12 12 10 8 7 8 9 10 10 11 11 12 12 11 10 10 10 9 9 8 8 9 8 8 7 7 6 7 8 9 9 10 10 10 9 9 9 9 9 10 10 9 10 10 11 12 13 13 13 13 13 14 15 14 14 13 13 12 12 11 11 11 10 9 8 7 6 5 5 6 6 6 7 7 7 7 8 8 8 8 7 8 7 8 8 9 9 9 9 9 9 10 11 12 11 10 9 9 8 7 7 7 8 9 8 7 6 6 7 8 9 9 9 8 7 6 5 5 5 5 5 5 6 7 7 7 7 7 7 6 nan
nan 11 10 10 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 7 7 7 8 8 9 9 10 11 10 10 10 10 11 12 13 13 13 11 10 9 10 11 12 12 12 12 12 12 11 10 9 8 8 8 8 9 9 9 8 7 6 5 5 6 7 7 8 9 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 8 8 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 8 7 7 8 9 9 10 10 9 9 9 10 11 12 13 12 12 12 11 10 10 10 10 10 9 7 6 6 7 8 9 9 9 8 7 6 5 4 4 4 4 4 5 6 7 7 7 7 6 6 nan
nan 10 10 9 9 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 10 10 9 9 8 8 8 9 9 9 10 10 11 11 10 11 11 11 12 12 13 12 11 11 10 10 11 11 11 11 11 11 10 10 9 8 7 7 7 8 9 9 9 8 7 6 5 4 5 5 5 6 7 8 9 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 6 6 6 5 5 6 7 8 9 9 9 9 9 9 9 8 7 8 8 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 11 11 11 10 9 9 8 8 8 9 10 9 8 7 5 5 4 4 4 4 3 3 4 6 7 7 7 7 6 nan
nan 9 9 9 9 9 9 10 11 11 11 12 12 12 11 10 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 10 10 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 10 10 10 9 9 9 9 9 8 8 8 7 7 6 6 7 8 9 9 10 10 9 7 6 6 6 6 6 5 5 6 8 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 8 8 7 7 6 6 6 5 5 4 4 5 6 7 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 9 10 11 11 12 11 10 10 10 11 11 11 11 11 10 9 9 10 10 10 9 7 6 5 5 6 5 3 1 1 3 5 7 7 7 6 6 nan
nan 8 8 9 9 10 10 11 12 12 12 12 12 12 11 9 7 6 7 7 8 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 10 9 9 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 12 12 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 8 7 6 6 7 8 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 8 7 6 6 6 7 7 8 8 8 7 6 5 4 4 3 2 2 3 4 5 6 7 7 7 7 8 8 8 9 9 10 10 9 9 9 9 9 9 8 8 8 8 9 10 11 11 9 8 8 8 9 10 11 11 11 11 10 10 10 11 11 10 8 6 5 6 6 5 2 0 0 2 5 6 6 6 6 5 nan
nan 9 9 9 10 10 11 12 12 13 13 13 12 11 10 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 12 11 11 10 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 10 11 12 12 11 10 9 8 7 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 6 6 6 7 7 8 8 8 7 6 5 4 3 3 2 3 3 5 6 7 8 8 8 8 9 8 8 9 9 10 10 10 9 9 8 9 9 9 9 8 8 8 9 10 10 9 7 6 6 7 9 10 11 11 11 11 10 11 11 11 10 8 7 6 5 5 3 2 1 2 3 5 6 5 5 5 5 nan
nan 10 10 10 11 12 12 13 13 13 12 12 11 11 10 8 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 11 10 10 9 8 8 8 7 7 8 8 9 9 8 8 9 9 9 9 9 10 11 12 12 12 12 11 10 9 8 7 6 6 6 7 8 10 10 10 10 10 10 10 10 9 10 10 10 9 8 7 6 7 7 8 8 8 8 7 7 6 5 5 5 6 6 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 10 10 10 9 9 9 10 10 9 8 7 6 7 8 8 9 9 9 10 10 10 11 11 11 9 8 6 5 3 2 2 2 4 5 6 6 5 4 4 4 nan
nan 11 11 11 12 12 12 13 12 12 11 11 10 10 9 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 11 10 9 9 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 10 12 13 14 13 12 10 9 9 8 7 6 6 6 6 7 8 9 10 10 10 10 10 10 9 9 10 10 10 9 8 7 7 8 8 8 8 8 8 8 7 8 8 8 9 9 10 11 11 10 9 9 9 9 10 10 10 9 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 10 10 9 8 7 7 7 8 7 7 8 8 9 9 10 10 10 10 9 8 6 5 4 3 4 6 7 7 6 4 3 3 3 nan
nan 11 11 11 11 11 11 10 9 8 8 8 8 9 9 8 7 6 5 6 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 13 15 15 15 13 11 9 8 8 8 7 7 7 7 6 7 7 8 9 10 10 10 9 9 9 9 10 10 9 9 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 12 12 13 13 13 13 12 11 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 8 8 9 8 7 5 3 3 3 nan
nan 11 11 10 10 9 8 6 4 3 3 5 6 8 8 8 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 9 9 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 10 11 12 13 14 15 15 15 13 11 10 9 8 8 8 8 8 7 7 6 6 7 8 9 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 10 11 11 12 11 10 10 10 10 10 11 11 11 11 11 11 11 12 13 13 14 14 14 14 13 13 13 12 11 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 7 5 4 3 nan
nan 10 10 10 9 8 6 3 -0 -2 -1 2 5 7 8 8 6 6 6 7 7 7 8 8 8 9 9 9 9 9 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 10 11 12 13 13 13 13 12 12 11 10 9 8 8 8 8 8 8 7 6 6 6 7 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 11 12 12 12 12 12 11 12 12 13 13 13 12 12 11 11 11 12 12 12 12 12 13 14 14 14 14 14 14 13 13 13 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 6 5 4 nan
nan 9 9 9 9 7 5 2 -1 -2 -1 1 4 6 7 7 6 6 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 8 7 8 8 8 7 7 7 8 10 11 11 12 12 11 10 10 10 10 9 9 8 8 8 8 8 7 7 7 6 6 7 8 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 10 10 11 12 12 12 12 13 13 14 14 14 13 12 12 12 11 11 11 11 10 10 10 11 12 12 13 13 14 14 14 13 13 14 14 14 13 12 11 11 11 11 11 10 9 8 8 8 8 8 8 8 7 6 6 6 nan
nan 8 9 10 9 8 5 3 1 0 1 2 5 6 7 6 7 7 8 8 9 9 9 9 9 9 8 8 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 9 9 10 10 10 9 8 8 8 8 7 7 7 7 7 6 6 7 8 9 9 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 11 12 12 12 12 13 14 14 13 12 11 11 12 12 11 10 9 9 9 9 9 10 11 12 12 11 11 11 11 12 12 14 14 14 14 14 14 14 14 14 12 11 9 8 8 8 9 9 8 7 6 6 6 nan
nan 8 9 10 10 9 7 5 4 4 4 5 6 6 6 6 7 7 8 9 9 9 9 9 8 7 7 7 7 8 8 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 8 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 6 5 5 7 9 10 10 9 8 7 7 7 8 8 8 7 6 6 7 8 8 9 9 9 9 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 11 12 13 13 12 11 10 11 11 11 11 11 10 9 8 9 9 10 10 10 10 9 9 9 9 10 11 12 13 13 14 15 15 15 15 14 13 11 10 9 9 10 10 10 9 7 6 6 7 nan
nan 9 10 11 11 10 9 8 7 7 8 8 8 7 7 7 7 7 8 8 9 9 9 8 7 6 6 6 7 7 8 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 10 11 12 12 12 12 11 12 12 12 11 11 10 10 9 9 9 10 10 10 9 9 9 8 8 8 8 7 7 7 6 5 6 8 9 10 9 9 8 7 7 7 8 8 8 7 7 7 8 9 9 9 10 10 9 10 10 11 12 12 12 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 12 13 14 14 13 13 12 11 10 10 9 10 11 12 11 9 8 7 7 8 nan
nan 11 11 12 12 12 11 10 10 9 10 9 9 8 8 8 8 8 7 8 8 8 8 7 7 6 6 6 7 8 8 9 9 9 9 8 8 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 7 8 9 9 10 10 10 11 11 11 11 11 12 13 13 12 11 11 10 10 10 9 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 12 12 11 11 11 11 11 10 10 9 9 8 9 10 10 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 11 12 12 12 11 11 10 10 9 9 9 10 10 10 9 9 8 8 9 9 nan
nan 12 12 12 13 13 13 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 6 6 6 5 5 5 6 7 8 9 10 10 10 10 10 10 10 10 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 12 12 11 11 11 11 11 10 9 9 8 8 9 10 10 10 10 10 11 11 10 10 11 11 12 11 11 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 11 11 12 12 11 10 10 10 10 10 9 8 7 7 8 9 10 11 11 nan
nan 13 13 13 14 14 14 13 12 11 11 10 9 9 9 9 9 8 8 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 6 5 5 5 5 6 7 8 10 10 11 10 10 10 10 9 9 8 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 7 6 6 7 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 12 12 12 12 12 12 11 9 8 7 7 8 10 12 13 11 nan
nan 13 13 13 14 14 14 14 13 12 11 10 9 9 9 9 9 9 9 9 10 9 9 8 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 6 7 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 11 10 10 10 10 11 10 10 9 8 8 8 7 7 6 6 6 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 13 13 14 14 13 11 9 8 8 8 10 13 13 12 nan
nan 13 13 13 13 14 13 13 12 12 11 10 9 9 9 10 9 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 6 5 5 4 5 6 7 8 9 10 11 11 10 10 9 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 6 6 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 13 14 14 13 12 11 9 8 8 9 12 12 11 nan
nan 13 13 13 13 12 12 11 11 11 11 10 10 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 6 5 4 5 5 7 8 9 10 10 11 11 10 9 8 8 8 7 8 7 7 7 7 6 7 7 8 8 8 7 7 8 8 8 8 8 8 8 6 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 11 9 8 7 8 10 10 10 nan
nan 14 14 13 12 12 11 10 10 10 10 10 10 9 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 6 5 5 5 5 6 7 8 9 9 10 10 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 5 4 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 9 9 10 11 11 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 8 7 6 7 8 9 9 nan
nan 15 14 13 13 12 11 10 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 6 7 8 8 9 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 5 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 9 8 8 8 9 10 10 11 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 8 nan
nan 14 14 13 12 12 11 10 10 9 9 9 9 9 9 10 10 11 11 10 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 12 11 11 11 10 10 10 10 9 8 8 8 9 10 10 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 nan
nan 13 12 12 11 11 11 10 10 10 9 9 9 8 9 10 11 12 12 10 9 8 8 9 9 8 8 8 7 8 8 8 9 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 9 10 9 9 9 8 8 9 nan
nan 12 11 10 10 10 10 11 11 11 10 10 9 9 9 10 11 12 12 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 11 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 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 9 9 10 11 nan
nan 11 11 10 10 10 10 11 11 11 11 10 10 9 9 10 11 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 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 10 11 13 nan
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nan 12 12 12 11 11 11 11 12 12 13 14 15 17 18 19 19 18 17 16 16 15 15 14 14 13 13 12 12 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 10 10 10 11 11 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 5 4 3 3 4 6 7 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 9 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 10 10 10 9 8 7 7 8 8 8 8 7 8 8 9 10 11 12 12 13 13 nan
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nan 11 11 10 10 10 10 11 11 12 12 13 15 16 17 18 17 17 16 15 14 14 14 14 13 13 12 11 11 10 9 9 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 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 11 11 10 8 8 7 7 7 7 6 5 4 5 6 7 9 9 9 10 10 10 10 10 10 10 10 11 10 9 9 9 10 10 12 12 11 10 8 6 6 6 7 8 9 10 10 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 9 9 10 11 11 11 11 11 nan
nan 11 11 10 10 10 10 10 10 11 12 13 14 15 16 17 17 16 15 14 14 13 13 13 13 12 12 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 10 10 9 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 9 9 10 10 10 10 11 11 12 12 11 10 9 8 8 8 7 7 7 6 5 5 7 9 9 10 10 10 11 10 10 10 10 10 11 11 10 10 9 10 10 12 13 13 12 11 8 6 6 6 6 8 9 9 8 7 7 7 7 7 7 8 8 9 9 10 9 9 9 8 9 9 10 10 10 10 10 9 nan
nan 12 11 11 10 10 10 10 10 11 11 13 14 15 16 16 15 15 14 14 13 13 13 13 12 12 12 11 10 10 9 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 10 10 11 11 10 9 8 8 8 8 8 8 9 9 9 8 8 7 8 8 8 8 9 9 9 10 10 10 10 10 11 12 12 12 11 9 8 8 8 8 8 7 6 5 5 6 8 9 10 10 10 11 11 11 10 10 10 10 11 11 10 10 10 10 11 12 13 14 13 11 8 7 6 5 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 9 9 10 9 9 nan
nan 12 12 12 12 12 11 11 11 11 12 13 14 15 15 15 15 14 13 13 13 13 12 12 12 12 11 11 10 10 9 9 8 8 7 8 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 10 9 9 8 8 8 9 9 9 10 10 10 9 8 8 9 10 10 9 8 8 8 9 9 8 8 8 8 9 9 9 9 9 10 10 10 9 9 10 11 13 13 12 10 8 8 8 8 8 7 6 5 4 5 7 8 9 10 10 11 11 11 10 10 10 10 10 11 10 10 10 11 11 11 12 14 15 14 12 10 8 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 nan
nan 11 12 13 13 13 13 12 11 11 12 13 14 14 14 14 14 13 13 13 13 13 12 12 11 11 11 11 11 10 10 10 9 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 11 12 11 9 7 7 7 8 9 9 8 8 8 9 10 10 9 9 10 10 9 9 9 10 11 12 14 14 11 9 8 7 7 7 7 6 5 3 3 5 7 8 9 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 12 13 15 15 15 14 11 8 7 6 6 7 7 7 8 8 8 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 8 8 9 nan
nan 10 11 12 12 12 12 12 11 11 12 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 9 8 8 8 9 9 9 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 8 7 7 7 8 9 11 11 11 9 8 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 10 11 12 14 14 13 10 8 7 7 7 7 6 5 3 2 3 5 6 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 13 14 15 16 14 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 6 5 5 5 6 7 nan
nan 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 11 10 10 10 10 11 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 11 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 8 7 6 7 8 10 10 10 10 9 8 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 12 14 14 13 11 9 7 7 7 7 6 6 4 2 2 4 6 7 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 15 16 15 13 11 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 4 4 4 5 6 nan
nan 8 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 8 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 10 11 11 10 10 10 10 9 9 8 8 8 9 11 13 13 12 10 8 7 7 7 7 6 4 2 2 3 5 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 15 15 14 12 11 10 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 8 7 6 5 5 5 6 6 7 nan
nan 8 8 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 9 9 9 8 8 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 10 11 11 11 10 10 10 10 10 9 8 7 6 8 10 12 13 12 10 8 7 7 7 7 5 3 1 2 4 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 12 13 15 15 14 13 11 10 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 8 6 6 6 6 7 8 8 9 nan
nan 9 8 8 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 9 8 8 7 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 10 10 10 9 9 10 10 10 10 9 9 9 8 8 9 9 10 10 10 10 10 9 8 8 9 10 11 11 11 10 10 10 9 9 10 10 10 9 9 8 8 9 10 11 11 11 11 11 11 11 11 12 10 8 7 8 10 12 13 12 10 9 7 7 7 5 3 1 -1 1 4 6 7 7 6 7 8 8 8 8 9 9 10 10 10 10 10 10 10 11 12 13 14 14 13 12 11 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 7 7 7 8 8 8 9 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 9 8 8 7 7 7 7 7 7 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 8 9 9 10 10 11 11 12 11 11 12 14 15 14 11 8 7 9 12 14 13 11 9 8 8 6 4 2 -1 -2 1 3 4 5 5 6 7 8 8 9 9 9 10 10 11 11 11 10 10 11 12 13 14 14 13 11 10 9 9 8 7 7 7 7 7 8 8 9 10 10 9 8 8 8 9 9 8 8 8 8 9 10 nan
nan 10 10 10 10 9 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 9 8 8 7 7 7 7 7 7 8 9 10 12 12 13 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 11 12 12 12 12 13 14 16 16 12 7 7 10 14 15 13 11 9 8 8 6 4 2 0 0 1 2 3 3 3 5 6 8 9 9 10 10 10 11 11 11 10 10 11 12 13 14 13 12 11 10 9 8 8 7 7 7 7 7 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 10 11 nan
nan 11 11 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 7 7 8 9 10 12 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 11 11 10 9 9 8 8 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 9 10 11 11 10 10 10 11 11 11 11 10 9 8 8 9 9 9 10 11 11 12 12 11 11 13 16 18 16 11 8 7 10 12 12 11 10 9 9 8 7 6 4 3 2 2 1 1 1 2 4 6 8 9 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 9 9 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 11 12 nan
nan 12 11 11 10 10 10 9 9 9 10 10 10 10 11 11 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 10 12 13 14 14 13 12 12 12 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 9 8 7 7 7 7 7 7 8 8 8 7 7 7 8 9 8 7 6 7 9 9 10 9 9 9 10 11 12 12 11 11 10 10 9 9 9 10 10 11 11 12 11 11 12 15 19 19 16 12 8 7 9 10 10 10 10 9 9 8 8 7 6 5 3 2 0 -0 -0 1 3 5 7 8 9 10 10 10 9 9 8 8 8 9 10 10 10 9 8 8 7 7 7 7 7 8 8 9 8 8 7 7 7 7 8 8 8 8 8 10 11 13 13 13 nan
nan 12 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 8 8 9 10 12 13 14 14 13 13 12 12 11 11 11 10 10 9 9 9 8 9 9 10 10 10 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 5 5 7 8 8 8 8 9 9 10 11 11 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 13 17 19 19 18 13 10 9 8 9 9 9 9 9 9 8 8 8 7 5 3 2 -0 -1 0 2 4 5 6 7 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 6 6 7 8 9 10 11 11 11 9 9 8 8 8 8 8 8 9 10 12 14 16 15 14 nan
nan 12 11 11 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 9 9 9 10 11 13 14 15 14 13 12 12 11 11 11 10 10 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 9 8 8 7 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 7 7 6 6 7 8 8 8 7 6 6 6 6 7 7 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 13 16 19 21 19 15 13 11 10 9 9 9 9 9 9 9 8 8 7 6 4 2 -0 0 2 4 6 5 5 4 5 5 5 5 5 6 6 6 7 7 7 6 6 7 7 7 8 10 12 14 15 16 15 14 12 11 10 9 9 9 9 10 13 15 16 16 15 13 nan
nan 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 10 10 10 10 10 12 13 14 14 13 13 12 12 11 11 11 10 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 6 5 6 7 9 9 9 8 8 8 8 8 8 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 13 17 21 22 21 20 18 16 15 14 13 12 10 9 9 9 8 8 8 7 4 1 -1 -1 1 3 4 3 2 2 3 4 4 5 5 6 6 7 7 7 7 8 9 10 11 12 14 15 16 16 17 16 15 13 12 11 10 9 9 10 12 14 15 15 14 13 12 nan
nan 10 10 10 10 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 11 12 13 13 13 12 12 11 11 11 10 10 9 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 7 6 6 8 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 11 12 15 18 21 22 23 23 22 21 20 19 16 14 12 11 11 10 9 9 9 7 3 0 -2 -1 2 3 3 4 4 5 6 6 7 8 9 9 10 10 10 11 12 12 13 14 14 14 13 12 12 12 12 11 11 11 11 11 10 11 12 13 14 14 13 12 12 12 nan
nan 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 10 11 12 12 12 12 12 12 11 11 11 10 10 9 8 8 8 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 11 12 13 12 11 8 7 8 9 9 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 11 11 11 11 11 11 10 10 11 12 13 15 17 20 21 21 21 23 23 22 19 18 18 18 16 14 12 12 11 10 9 7 6 7 8 9 10 11 11 11 12 12 13 14 14 13 12 12 13 12 12 11 11 10 9 8 8 8 10 11 11 12 13 13 14 14 15 15 14 13 12 11 11 11 12 nan
nan 10 11 11 12 12 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 11 12 12 12 12 12 11 11 11 10 10 9 8 8 9 9 9 9 9 9 10 10 11 11 12 11 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 11 12 13 12 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 11 11 10 10 10 10 10 10 11 11 11 13 14 16 16 18 20 23 24 23 22 22 24 24 22 20 18 18 18 18 17 16 16 16 17 17 17 17 17 16 15 14 13 13 13 12 11 10 9 8 8 7 7 6 7 8 9 11 14 15 16 17 17 17 18 17 16 14 12 11 11 11 11 11 nan
nan 11 11 11 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 9 9 10 11 11 12 12 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 10 9 9 9 10 11 10 10 10 9 9 9 8 8 8 9 9 10 11 12 12 12 12 11 11 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 10 10 10 10 10 10 10 10 10 11 11 12 12 13 14 16 19 20 19 19 20 21 24 24 24 22 20 19 18 17 17 17 17 18 18 19 19 18 17 14 12 12 12 12 11 11 10 11 10 10 10 10 10 11 11 12 13 14 15 16 17 17 17 16 15 14 12 11 11 11 11 10 10 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 9 10 11 11 11 10 11 11 10 8 7 7 7 8 9 9 10 11 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 11 12 12 13 14 14 14 13 14 15 17 18 19 18 17 15 14 13 14 14 14 15 15 15 16 17 17 16 15 15 16 16 15 14 14 14 15 15 15 14 14 13 12 11 11 11 12 13 13 14 14 13 12 12 11 11 11 11 11 11 11 nan
nan 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 10 11 11 10 9 9 11 11 11 10 11 12 12 11 9 7 7 7 7 8 8 9 10 11 11 10 10 10 9 9 9 9 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 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 13 14 16 17 17 17 17 17 16 15 14 14 14 14 14 13 12 11 9 9 9 10 10 11 12 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 12 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 11 12 13 14 14 13 12 10 10 10 10 10 11 11 11 12 12 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 11 10 10 10 10 9 9 10 12 12 11 9 7 6 7 7 8 8 8 9 9 9 9 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 12 11 11 10 9 8 7 7 7 8 9 10 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 10 11 11 11 11 12 13 13 13 13 13 13 12 11 11 11 11 10 9 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 13 nan
nan 13 12 11 11 10 9 9 9 9 9 9 10 10 10 10 10 11 12 13 14 14 13 12 11 10 10 9 10 10 11 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 7 7 8 9 10 11 12 12 10 9 8 8 9 11 11 11 9 8 7 8 8 8 8 8 8 7 7 8 9 9 9 8 7 5 5 5 6 6 6 6 7 8 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 12 11 9 8 7 4 3 3 3 5 6 8 9 10 10 10 10 9 10 11 12 12 10 8 6 5 6 8 9 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 11 11 12 12 11 11 11 11 11 11 11 10 11 11 nan
nan 13 13 12 11 11 10 10 10 10 10 9 10 10 10 11 11 12 13 13 13 13 12 12 11 10 10 9 9 9 10 11 12 13 14 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 8 7 7 7 9 11 13 13 12 11 9 8 9 10 10 10 9 8 9 9 9 9 9 8 7 5 5 5 6 8 9 9 9 7 5 3 2 1 0 -0 0 2 4 6 8 9 10 11 12 12 12 12 12 11 11 10 9 9 9 9 10 11 12 13 13 11 10 9 8 6 4 1 0 0 1 3 4 6 7 7 6 6 7 8 12 13 11 8 4 2 3 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 11 nan
nan 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 12 13 13 14 14 13 12 11 11 11 10 10 9 9 9 10 11 13 14 14 14 13 12 11 11 10 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 12 13 13 12 10 9 10 10 10 10 9 9 10 11 11 11 11 11 10 7 4 2 1 2 4 7 9 10 9 6 3 -0 -2 -4 -5 -6 -4 -1 1 4 6 8 9 10 11 11 11 11 10 9 7 6 6 7 7 8 9 11 12 12 11 11 10 9 7 5 2 1 0 0 1 3 4 4 3 2 3 5 10 13 12 10 5 1 2 5 7 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 13 14 14 14 13 13 12 11 11 11 11 10 9 9 10 10 12 13 14 14 13 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 10 11 12 13 12 11 10 10 11 11 10 10 10 11 12 12 12 13 14 15 13 10 6 1 -1 -1 1 4 8 10 10 8 4 1 -1 -3 -6 -7 -7 -6 -5 -2 -0 2 4 6 9 10 11 11 8 5 2 1 1 2 3 4 6 8 9 10 10 10 10 9 8 6 5 3 2 2 3 5 5 4 3 2 4 8 11 11 10 6 4 4 6 8 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 11 11 11 11 11 11 11 11 11 11 10 nan
nan 10 11 11 10 10 10 10 10 10 11 12 12 12 11 11 12 13 14 15 14 14 13 12 12 12 12 12 11 10 10 10 10 11 12 13 13 13 13 12 11 10 9 9 9 8 9 9 10 11 10 10 9 9 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 15 17 18 18 16 11 5 1 -1 -2 1 5 7 8 7 5 4 3 0 -2 -4 -6 -6 -6 -5 -5 -4 -2 2 6 10 12 11 8 4 0 -1 -1 -0 1 2 4 6 7 8 9 9 9 9 8 8 7 6 6 6 6 7 6 5 5 5 7 8 8 7 6 6 7 8 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 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
138 181 177 134 83 36 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 8 19 28 34 40 43 55 59 59 59 59 53 38 15 10 17 32 47 60 72 87 120 181 236 285 331 368 391 403 415 443 470 478 477 491 520 531 529 528 522 517 523 545 545 534 522 512 504 492 469 435 407 376 318 284 276 260 250 245 252 263 272 278 282 274 225 193 225 311 446 601 715 738 721 728 742 741 702 617 507 426 391 402 495 595 618 564 441 354 321 279 218 162 132 97 79 74 79 88 97 103 99 93 100 105 109 110 106 101 95 90 89 89 91 92 93 95 100 99 90 78 71 69 64 60 59 62 67 70 68 61 53 47 43 41 43 51 62 71 75 75 66 50 30 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
38 54 50 31 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 16 26 31 31 30 31 35 37 37 37 37 31 15 2 1 11 25 39 50 60 77 96 134 200 266 323 371 414 440 454 464 469 466 470 495 507 517 528 538 538 529 523 527 517 502 496 501 503 489 457 415 380 352 322 301 288 275 268 269 272 262 250 254 276 294 289 264 250 295 429 613 742 730 694 659 646 626 566 467 376 339 331 344 397 449 450 407 326 263 234 203 163 128 110 82 67 63 65 68 74 81 77 76 77 78 80 82 83 83 76 71 74 82 93 102 110 112 111 102 86 74 71 73 67 69 74 75 69 59 49 38 35 34 33 33 37 46 60 71 77 74 61 40 18 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 8 21 29 29 24 18 15 15 18 20 19 17 11 2 0 0 5 16 28 39 52 72 75 81 137 207 269 318 356 382 391 399 407 413 423 439 450 471 500 531 555 568 564 530 515 496 487 487 487 480 455 400 345 312 305 307 301 290 286 294 293 266 235 238 291 329 350 334 294 303 429 633 735 713 664 591 510 433 372 342 344 354 353 350 345 334 313 291 249 201 173 148 120 97 82 69 65 65 68 71 72 72 69 67 67 69 74 80 80 80 73 67 69 79 91 101 118 124 121 107 90 76 71 68 65 63 61 55 46 36 29 20 23 26 28 31 35 45 53 61 65 59 43 23 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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