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 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 10 11 12 12 13 13 12 11 9 7 5 4 4 4 6 8 9 10 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 9 8 8 9 10 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 10 10 8 6 5 5 7 8 10 11 11 11 12 11 9 8 8 8 8 8 8 9 10 11 12 12 12 11 9 7 4 3 4 5 7 9 10 11 10 9 9 9 9 10 10 10 10 9 7 7 6 6 7 8 9 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 9 9 9 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 nan
nan 4 4 4 4 5 5 5 4 4 5 5 5 5 6 6 7 7 7 7 6 6 7 7 7 7 7 7 8 9 11 12 13 14 13 10 8 7 6 6 6 7 8 8 9 10 10 11 12 13 13 13 12 12 11 11 11 11 11 11 10 10 9 9 10 10 10 10 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 8 7 7 7 7 8 8 7 7 7 7 8 8 10 10 9 6 5 4 5 6 8 10 10 10 10 9 8 6 7 7 8 8 8 8 8 9 9 9 9 8 7 5 4 3 4 5 7 8 10 12 12 11 10 9 9 9 9 9 9 8 6 6 5 6 6 8 10 11 11 11 11 11 12 12 11 11 11 11 12 12 12 11 10 9 9 9 9 8 8 8 7 7 7 7 8 7 7 7 7 7 7 6 nan
nan 3 3 4 4 5 5 4 4 4 4 4 5 5 6 6 7 8 8 8 8 7 7 8 8 8 7 7 7 8 9 10 11 12 13 12 10 9 8 7 7 6 6 7 7 8 9 10 12 12 13 12 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 9 10 10 8 7 6 6 6 7 9 10 10 10 9 8 6 7 8 8 8 8 7 7 8 8 8 8 7 6 5 4 4 4 5 6 7 9 10 11 10 9 8 8 8 9 9 8 6 5 5 5 6 8 10 11 11 12 12 13 14 14 13 12 10 10 10 11 12 12 11 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 nan
nan 3 3 3 3 3 4 3 3 4 4 4 4 5 6 6 7 7 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 9 10 10 10 9 8 7 7 6 6 6 7 7 8 9 10 11 10 10 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 9 10 10 10 10 10 11 11 11 10 9 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 9 10 12 12 11 10 9 8 8 9 11 12 12 11 10 8 7 7 8 8 8 8 7 8 8 8 7 6 5 5 5 5 4 4 5 6 7 8 9 9 8 8 7 8 8 9 8 6 5 5 6 8 9 10 11 11 11 11 13 15 15 14 12 10 9 9 10 11 11 10 9 8 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 nan
nan 6 5 4 3 2 1 2 2 3 3 3 4 5 5 6 6 6 7 7 7 7 7 7 9 10 11 11 10 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 7 7 8 8 9 9 9 8 7 6 6 7 7 7 7 8 9 10 10 10 9 8 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 12 13 14 14 12 10 9 9 11 12 13 13 12 9 7 7 7 8 8 8 8 8 8 7 6 5 5 6 6 6 5 4 4 5 6 7 8 8 9 9 9 9 9 9 9 7 6 7 8 9 9 9 9 8 8 9 11 13 13 14 13 12 10 10 10 10 10 10 9 8 7 6 6 7 7 8 8 8 8 8 8 8 9 9 8 7 7 7 nan
nan 11 10 8 6 4 3 3 2 3 3 3 4 4 4 5 5 6 6 6 6 7 7 7 8 9 11 11 10 9 8 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 9 8 7 6 4 4 4 5 6 6 7 8 9 9 10 10 10 9 8 9 9 10 9 9 8 9 9 9 10 10 10 10 10 10 9 10 12 14 13 12 10 9 8 9 10 11 12 12 10 7 6 6 7 8 9 9 9 8 7 6 6 6 7 7 7 6 6 6 6 6 6 7 8 9 10 11 10 10 11 10 10 9 9 10 10 8 7 6 6 6 7 8 10 11 13 13 13 12 11 11 11 10 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 7 nan
nan 13 13 13 11 10 9 8 7 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 9 10 9 8 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 5 5 5 6 6 7 8 8 7 6 5 5 5 6 7 7 8 8 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 9 10 11 10 9 8 7 6 6 8 9 10 9 7 6 6 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 6 5 6 8 9 10 11 10 11 11 12 12 11 11 10 10 8 6 5 5 6 6 7 8 10 11 12 12 12 12 11 10 9 8 8 8 8 7 7 8 8 7 7 8 8 9 9 9 9 8 8 7 7 7 nan
nan 13 14 14 14 14 13 12 11 10 10 9 9 9 8 7 6 6 6 6 6 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 9 9 8 8 8 8 9 9 9 8 8 9 10 11 11 11 12 12 13 13 12 12 12 11 11 11 11 12 12 12 12 12 11 10 9 8 8 8 8 8 8 8 6 5 5 5 7 8 8 8 8 8 8 8 9 10 10 10 9 8 7 7 8 8 8 8 8 8 8 7 6 7 8 9 10 10 10 10 11 12 12 12 10 10 9 8 7 6 5 5 6 6 7 8 9 10 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 8 8 8 7 7 7 nan
nan 12 13 14 14 14 14 13 13 12 12 12 12 11 10 9 8 7 6 5 6 6 6 6 6 5 5 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 5 6 7 7 7 7 8 8 9 9 9 9 10 10 10 9 8 8 9 10 10 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 14 13 13 12 11 11 10 9 9 9 9 9 8 8 7 6 6 6 7 8 9 10 9 9 8 8 9 9 8 8 7 7 7 8 9 10 10 10 10 10 10 9 8 8 9 9 10 10 9 10 10 11 11 9 8 8 8 8 7 6 6 5 5 5 6 7 8 8 8 9 9 8 8 8 8 7 7 8 8 9 9 8 8 8 9 9 9 9 8 8 8 7 7 7 nan
nan 12 13 13 13 13 13 13 13 12 12 12 12 11 10 9 8 7 6 5 5 5 5 4 4 4 5 6 7 8 8 8 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 6 5 5 5 5 5 6 6 7 7 8 9 9 9 9 9 9 8 9 9 10 10 10 10 11 11 12 12 12 13 13 14 14 14 14 15 15 15 15 15 14 14 13 13 12 11 10 10 10 10 10 9 9 8 7 7 9 10 10 9 9 8 7 7 7 7 7 7 7 8 9 10 12 13 13 13 14 14 12 9 6 6 8 9 9 9 9 10 10 10 9 8 8 8 8 7 6 7 6 6 5 5 5 5 7 8 8 9 9 9 9 8 7 7 8 9 9 9 9 8 8 9 9 9 9 8 8 8 7 7 7 nan
nan 12 13 13 13 12 12 12 12 12 12 11 11 10 9 8 7 7 6 5 5 5 4 4 4 5 6 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 9 9 9 9 9 9 7 5 4 3 2 3 4 5 6 6 7 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 13 13 14 15 16 17 17 17 17 16 16 15 15 14 13 12 11 10 11 11 11 10 9 8 8 9 10 10 9 8 8 7 7 7 8 9 10 10 10 10 11 13 14 14 15 15 15 13 9 6 5 7 8 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 6 4 3 5 6 8 8 8 8 9 8 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 nan
nan 13 13 12 12 11 11 11 11 11 10 10 9 9 8 8 7 7 6 6 5 5 5 5 6 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 11 11 10 8 5 4 3 3 4 5 6 6 7 7 8 9 9 9 10 10 10 9 9 9 10 10 11 11 11 12 12 11 11 12 12 14 15 15 16 16 16 16 16 15 14 14 13 13 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 9 10 12 14 14 14 13 13 13 14 14 14 14 13 12 10 8 7 8 9 9 9 9 8 8 8 8 9 10 10 11 10 10 10 10 10 9 7 4 3 4 6 7 8 8 8 8 8 8 8 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 nan
nan 13 12 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 7 6 5 5 5 6 7 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 10 10 10 10 11 11 12 12 12 11 9 8 7 6 6 6 6 6 6 7 8 9 9 10 10 10 10 10 9 9 10 10 10 10 11 11 11 10 10 11 11 12 13 12 12 12 13 13 13 12 11 11 11 12 12 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 11 12 14 16 16 16 16 15 14 14 13 12 12 12 12 11 11 10 10 10 10 10 9 8 7 6 6 7 9 11 11 11 11 11 11 11 10 8 7 7 7 7 8 8 8 9 8 8 8 8 9 8 7 8 8 9 9 8 8 7 7 7 8 8 8 9 8 nan
nan 12 11 11 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 8 7 6 6 7 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 10 11 10 10 10 11 11 11 12 12 13 12 11 9 8 8 8 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 13 13 14 15 16 16 16 16 16 16 15 14 14 13 13 14 14 14 13 13 12 12 12 12 11 9 8 6 5 5 7 9 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 12 10 9 9 9 8 7 8 8 8 8 8 8 7 7 7 7 8 8 9 9 nan
nan 11 11 10 10 9 9 9 9 10 10 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 10 10 9 10 10 10 11 12 13 13 12 11 11 11 10 10 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 6 7 7 7 8 8 9 9 9 9 9 10 11 12 13 14 14 14 15 15 15 15 15 15 16 16 16 15 14 14 14 14 13 13 14 15 16 16 17 17 17 16 15 14 13 13 13 11 9 7 5 5 6 8 9 10 10 11 11 11 11 11 12 14 16 17 16 14 15 16 16 14 12 10 9 8 8 7 7 7 7 7 7 7 6 6 6 7 8 8 8 nan
nan 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 9 10 10 10 11 12 12 12 11 11 12 11 10 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 8 9 11 12 14 15 16 17 17 16 15 14 14 14 14 13 12 11 11 11 11 12 12 13 14 15 16 16 16 18 18 16 14 13 12 12 12 11 9 7 7 7 7 8 8 9 10 10 10 10 10 11 12 14 16 16 16 16 17 17 16 14 12 10 8 8 7 6 6 6 6 6 5 4 5 6 7 7 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 9 10 10 11 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 10 9 9 9 9 9 9 10 9 9 7 6 5 6 7 8 8 9 9 10 10 9 8 7 6 6 7 7 7 7 7 6 6 6 7 8 10 11 13 14 15 16 16 15 14 13 11 11 10 10 10 9 9 9 9 10 10 11 11 12 12 13 13 14 14 15 14 13 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 8 8 8 9 9 11 12 13 14 15 14 14 14 13 12 10 8 7 7 6 6 6 5 4 3 3 4 6 8 8 8 7 nan
nan 10 10 11 11 11 11 11 10 10 10 10 10 9 8 7 6 6 6 7 8 9 9 9 8 8 7 7 7 7 8 8 9 9 9 8 7 7 7 7 7 8 8 8 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 7 6 5 5 6 7 7 8 8 9 10 10 9 8 7 7 8 8 8 8 8 7 7 8 9 10 11 13 14 15 14 14 13 12 11 10 9 9 8 8 8 8 7 7 7 7 8 9 9 9 10 10 11 11 11 11 11 11 10 10 9 10 10 11 11 11 11 11 9 9 9 8 8 8 8 7 8 8 8 9 11 12 13 12 11 11 11 11 10 8 7 6 6 6 5 4 2 1 2 5 7 8 8 7 6 nan
nan 10 11 11 11 11 11 11 11 10 10 10 9 9 8 7 6 6 6 7 8 9 9 10 9 9 8 8 8 8 8 9 10 11 10 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 9 9 10 10 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 7 6 6 5 5 6 6 7 8 8 9 9 8 8 8 9 9 9 9 8 8 8 9 10 11 12 13 13 13 12 12 11 10 10 9 8 8 7 7 7 6 5 5 5 5 5 6 6 6 7 7 8 9 9 9 9 10 10 10 9 10 10 11 12 13 14 13 12 10 9 9 8 7 7 7 7 7 7 8 10 11 11 10 10 9 10 10 9 8 7 6 5 5 3 2 2 2 3 6 8 8 7 5 5 nan
nan 10 11 11 11 11 11 11 10 10 9 9 9 9 8 7 6 6 7 7 8 9 10 10 10 10 9 9 8 8 9 9 10 11 10 9 8 7 7 7 7 7 8 8 8 8 9 8 8 8 8 9 9 9 10 9 9 9 8 9 9 9 8 6 5 5 6 6 7 8 7 8 8 8 8 8 9 10 10 11 11 9 8 6 6 5 5 6 6 6 6 6 7 7 7 8 8 9 9 9 8 8 8 8 9 10 11 12 11 10 10 10 10 10 9 9 8 8 7 7 6 6 5 4 3 3 3 3 4 4 4 4 5 5 6 7 8 8 9 9 9 9 9 10 11 12 13 13 12 11 10 9 8 8 7 7 6 6 6 7 8 9 9 9 9 9 8 9 10 10 9 7 6 4 3 2 1 2 4 5 6 7 6 5 4 4 nan
nan 9 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 6 7 7 8 9 10 10 9 9 8 8 8 8 8 9 9 10 10 9 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 8 7 6 5 5 6 7 7 7 7 7 8 8 7 8 8 9 11 11 10 8 7 6 5 6 7 7 6 6 5 5 6 6 7 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 8 9 9 8 8 8 8 7 7 7 6 5 4 4 3 3 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 8 9 10 11 11 11 10 10 9 8 8 7 7 6 6 6 6 7 8 8 8 8 8 8 8 9 10 10 9 8 7 5 4 3 3 4 5 6 6 6 5 4 3 4 nan
nan 8 8 9 9 9 9 8 8 7 7 7 8 8 8 7 6 6 7 8 9 10 10 9 8 8 7 7 7 7 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 9 9 8 7 6 6 7 7 6 6 6 6 6 7 6 6 6 7 9 10 10 9 8 7 6 7 8 8 7 7 6 6 6 6 6 7 8 8 9 9 10 11 11 12 12 11 10 9 8 8 9 9 9 9 8 8 8 8 8 8 7 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 8 9 10 10 9 9 8 8 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 6 6 5 4 5 nan
nan 7 7 7 7 7 7 6 6 5 5 6 7 7 7 6 6 6 8 9 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 7 7 6 7 7 6 5 5 5 6 6 5 5 5 6 7 9 9 9 8 7 7 8 8 8 8 7 6 6 6 6 7 7 8 9 10 10 10 11 12 12 11 10 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 8 7 7 6 6 7 7 8 8 9 9 8 8 7 7 6 6 6 6 6 6 7 8 8 9 10 10 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 6 7 7 7 7 8 9 9 8 8 8 8 7 6 6 6 nan
nan 7 6 6 6 6 6 5 4 4 4 4 5 6 6 6 5 7 8 9 10 11 10 9 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 9 9 9 8 7 7 8 8 8 8 7 7 7 6 6 7 7 8 9 10 10 10 10 10 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 8 8 8 9 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 9 8 7 6 6 6 6 7 7 8 8 8 8 9 9 9 8 8 7 7 nan
nan 6 6 6 6 6 5 4 4 3 3 3 5 6 6 6 6 7 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 9 9 8 7 7 8 8 9 8 7 7 7 7 7 7 7 8 9 10 10 10 9 9 9 8 7 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 12 11 10 9 9 9 10 10 9 9 10 10 10 10 10 10 9 9 8 8 9 10 11 10 9 9 8 7 8 8 8 8 8 8 7 7 8 9 9 9 8 8 8 8 nan
nan 6 6 7 6 6 5 5 4 4 4 4 5 6 6 6 6 8 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 11 11 11 11 12 13 13 13 13 12 10 9 9 8 8 8 9 9 8 7 7 7 7 7 7 8 8 9 10 10 9 9 8 8 7 7 6 6 5 5 6 7 7 8 8 8 9 9 9 10 10 11 11 11 11 11 12 12 12 12 11 10 10 11 11 11 11 10 10 11 12 13 13 11 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 10 9 7 6 6 7 8 8 8 8 8 8 9 nan
nan 7 7 7 7 6 6 5 5 5 6 6 6 6 7 7 7 8 9 9 9 9 9 8 8 8 7 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 14 13 13 13 12 11 10 10 10 10 10 10 10 9 9 8 8 8 8 7 8 8 9 9 10 9 9 8 8 8 8 8 7 7 7 6 6 7 7 8 8 9 9 9 10 11 11 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 11 10 10 11 12 13 12 11 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 11 10 8 7 6 6 7 7 8 7 7 7 8 8 nan
nan 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 7 7 7 8 8 9 9 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 12 13 13 12 11 10 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 10 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 13 12 11 11 11 12 12 11 10 9 8 8 8 9 9 9 10 10 10 10 11 11 12 12 13 13 13 12 12 11 11 10 11 10 10 9 8 7 7 7 8 8 8 8 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 9 10 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 11 11 13 14 14 14 13 12 11 10 9 9 9 9 9 9 9 10 10 10 11 10 10 10 9 9 9 8 8 7 8 8 8 8 8 8 9 9 10 11 12 12 12 11 11 11 12 12 12 12 11 11 12 13 14 14 14 13 12 11 11 10 10 9 8 7 7 7 8 8 8 8 9 9 10 10 11 12 13 13 13 12 12 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 nan
nan 9 9 8 9 9 9 9 9 10 10 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 7 7 7 8 8 9 10 11 12 12 12 11 11 11 11 11 11 12 12 11 10 9 9 10 10 10 10 10 10 10 12 13 13 13 13 12 12 10 10 10 10 9 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 9 10 11 11 11 11 10 11 11 11 11 10 10 9 10 12 14 15 15 15 13 12 11 11 10 10 9 8 7 6 7 7 8 8 8 8 8 9 10 11 11 12 12 12 11 10 9 8 8 8 8 8 9 9 8 9 9 9 9 9 8 8 8 9 nan
nan 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 8 8 8 9 10 12 12 12 11 11 10 10 10 10 11 11 11 10 9 9 10 10 10 10 11 10 10 10 10 11 12 12 11 11 11 10 10 10 10 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 11 11 11 10 11 11 10 10 9 8 8 9 11 12 13 14 14 13 12 11 11 11 11 11 11 9 8 8 8 8 8 8 8 8 8 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 nan
nan 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 12 12 12 11 10 11 11 11 10 10 10 9 9 9 9 10 11 12 12 12 11 11 10 10 11 11 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 8 8 9 9 8 8 8 8 7 8 8 9 9 10 9 9 8 8 8 9 10 10 11 10 10 10 9 9 9 8 7 8 9 10 11 12 12 12 12 11 11 10 11 11 13 13 13 12 10 9 8 8 8 8 8 8 8 9 9 9 9 10 11 12 13 14 14 13 12 11 11 11 12 12 12 11 9 9 9 10 10 10 nan
nan 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 11 12 12 11 11 11 11 11 10 9 9 9 8 9 9 11 12 13 13 12 11 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 10 11 12 11 10 10 10 10 10 10 11 12 13 14 14 13 11 9 8 8 8 8 8 8 9 9 9 9 9 10 12 13 14 14 14 13 13 12 13 14 14 13 11 10 9 9 10 11 11 nan
nan 11 11 11 10 10 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 12 12 12 11 11 9 8 8 8 9 9 9 10 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 8 9 9 10 11 11 11 10 10 10 10 9 9 9 10 11 12 13 15 14 13 11 9 8 8 8 8 8 9 9 9 9 10 10 11 11 12 12 12 13 13 13 13 14 14 13 12 10 9 10 10 11 12 nan
nan 12 11 11 11 11 11 10 10 10 9 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 12 12 11 10 9 8 8 9 9 9 10 10 11 11 12 11 11 10 9 9 9 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 9 9 10 10 11 13 14 14 13 12 10 9 8 8 8 8 9 9 9 9 10 10 9 9 10 10 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 nan
nan 13 13 12 12 12 11 10 9 8 8 9 9 10 10 10 9 9 9 8 8 9 9 9 9 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 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 10 11 11 10 10 9 8 8 9 9 10 10 10 10 11 11 11 10 9 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 10 11 11 10 9 9 10 10 10 10 9 9 9 9 10 12 13 13 12 11 10 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 nan
nan 14 13 13 12 12 11 9 8 7 7 8 9 10 10 10 10 10 9 9 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 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 10 10 10 9 9 9 9 10 11 10 10 9 10 10 10 10 10 9 8 8 9 9 10 11 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 9 9 nan
nan 14 13 13 12 12 10 9 7 7 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 10 10 10 10 9 8 8 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 11 10 9 9 9 nan
nan 12 12 12 11 11 10 9 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 10 10 9 9 8 8 9 9 9 9 9 10 10 10 11 11 11 10 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 8 8 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 11 11 10 10 9 9 9 9 nan
nan 10 10 10 10 10 9 8 8 8 8 8 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 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 nan
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nan 9 9 10 10 10 10 10 10 10 11 11 12 12 13 13 14 14 14 14 14 14 14 15 15 15 14 14 13 12 11 11 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 10 10 11 12 12 11 9 8 8 8 7 6 5 3 1 1 3 5 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 9 10 11 13 13 12 10 8 6 5 6 8 9 10 11 11 10 9 9 9 10 9 8 6 5 6 6 7 7 7 8 8 9 9 10 10 11 11 12 12 nan
nan 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 14 14 14 14 13 13 12 11 11 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 12 11 11 11 11 11 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 12 12 11 10 9 8 8 7 7 7 5 3 2 2 5 8 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 10 12 14 13 12 10 7 5 5 6 7 9 10 10 9 8 8 8 8 8 7 6 6 7 7 7 7 7 7 8 9 10 10 10 11 11 11 11 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 13 12 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 11 12 11 11 10 9 8 8 8 8 7 5 3 3 5 8 9 10 11 11 11 11 10 10 9 9 10 10 10 9 9 10 10 11 13 13 14 13 10 7 6 5 6 7 8 8 8 7 7 7 7 7 6 6 6 7 7 7 8 8 7 8 9 9 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 13 13 12 12 11 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 12 11 11 10 10 11 11 11 11 11 10 11 11 11 10 10 9 9 9 10 10 10 10 10 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 9 9 10 12 12 12 10 9 9 8 8 8 8 7 4 3 4 7 9 10 11 11 11 11 11 10 10 9 10 10 10 10 10 10 10 11 11 12 14 15 14 11 9 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 8 8 9 9 10 9 9 8 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 12 11 11 11 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 10 10 9 9 9 9 9 9 8 9 9 10 10 10 9 8 8 8 8 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 10 12 13 13 12 9 9 8 8 8 8 7 5 3 3 5 7 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 13 15 15 15 14 11 8 7 6 6 6 6 6 6 6 6 6 6 5 5 6 7 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 9 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 11 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 13 14 14 14 14 13 12 11 11 11 11 12 12 13 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 9 10 10 10 10 9 9 10 9 9 8 8 9 10 11 11 10 9 9 9 9 9 9 9 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 12 14 14 13 10 9 9 8 8 8 7 5 3 2 4 6 8 9 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 13 15 17 17 15 11 9 7 7 6 6 6 6 7 7 6 6 6 5 6 6 7 8 7 7 6 5 5 4 4 4 4 5 nan
nan 9 9 9 10 10 10 10 10 10 9 9 8 8 9 9 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 13 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 10 10 10 9 10 10 10 10 10 10 10 9 9 8 8 9 10 11 10 10 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 12 14 15 14 12 10 9 8 8 8 7 6 4 2 3 5 7 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 13 16 18 17 13 11 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 7 6 4 3 2 2 2 3 5 nan
nan 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 11 11 11 11 11 10 10 11 12 12 12 12 11 11 11 11 11 11 10 11 11 11 11 11 12 12 12 13 13 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 11 10 10 10 10 10 10 10 11 10 10 10 9 9 8 8 9 9 10 9 9 9 9 9 9 9 9 10 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 10 13 15 15 14 11 9 8 8 8 7 6 4 3 3 4 6 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 12 15 17 17 14 12 10 9 8 8 9 9 8 8 8 8 7 7 6 6 7 8 8 8 6 4 3 3 3 4 5 6 nan
nan 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 12 11 11 11 11 11 11 10 10 10 10 11 11 11 12 13 13 13 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 10 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 9 8 7 9 12 14 14 13 11 9 9 8 8 7 5 3 2 3 5 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 13 15 17 16 14 12 11 10 10 10 10 9 9 9 8 8 8 7 6 6 7 8 9 8 7 5 5 5 5 6 7 8 nan
nan 11 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 13 13 12 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 10 11 11 11 11 11 10 10 10 9 10 10 10 11 11 11 10 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 12 11 9 8 9 11 13 14 13 11 9 8 8 7 5 3 2 1 3 5 6 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 13 15 17 16 14 12 11 11 11 10 10 10 9 9 8 8 8 7 7 6 7 8 8 8 7 6 6 6 6 6 7 8 nan
nan 11 11 10 10 9 9 10 10 10 11 11 11 11 11 12 12 11 11 11 10 10 10 10 9 9 9 8 8 8 8 8 9 9 8 9 9 10 11 11 12 13 12 12 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 12 15 15 14 12 9 8 10 13 15 13 11 9 8 8 6 4 2 0 1 2 4 5 6 6 7 8 9 10 10 10 10 10 10 11 11 11 10 11 12 13 15 16 15 14 12 12 11 11 11 10 9 9 8 8 7 7 7 8 8 8 7 8 7 8 7 7 7 7 7 7 8 nan
nan 12 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 9 8 8 8 7 7 7 7 8 8 8 8 9 10 11 11 12 12 12 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 8 9 10 10 11 11 11 11 13 15 16 16 12 8 8 11 14 15 12 10 9 8 7 6 3 1 1 1 2 3 4 4 5 6 7 8 9 10 10 10 11 11 11 10 10 11 12 13 15 16 15 14 12 12 11 11 10 10 9 8 8 7 7 7 7 8 10 9 9 8 8 8 8 8 8 8 8 9 9 nan
nan 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 9 8 8 8 8 7 7 7 7 8 8 9 10 11 11 12 12 12 12 11 10 10 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 12 12 11 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 10 10 10 10 10 10 11 11 12 11 11 10 10 9 8 8 8 9 10 11 11 11 11 11 13 16 19 16 11 8 8 11 13 12 11 9 9 8 7 6 4 3 2 2 3 2 3 3 4 5 7 8 9 10 10 11 11 10 10 10 10 11 12 14 15 14 13 12 11 11 10 9 9 8 8 7 7 6 6 6 7 8 9 9 9 8 8 8 9 9 9 9 9 10 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 10 10 9 9 9 9 9 8 8 8 7 7 8 9 10 11 11 11 11 11 11 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 10 10 10 10 9 9 10 10 10 9 8 7 8 9 10 10 10 9 10 11 11 12 12 12 11 11 10 10 9 9 9 10 10 11 11 11 11 12 15 19 19 16 12 9 9 10 11 10 10 9 9 8 7 6 5 4 4 3 2 2 2 2 3 5 6 8 9 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 9 9 8 8 8 7 7 7 6 5 5 6 7 8 8 8 8 9 9 9 10 11 11 11 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 9 9 8 8 7 8 9 10 11 11 11 10 10 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 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 10 10 11 10 9 8 7 8 9 10 10 9 9 9 10 11 11 11 11 11 10 10 10 9 9 9 9 10 11 11 11 11 11 13 17 19 19 18 14 10 9 9 9 10 9 9 9 8 7 7 6 5 4 3 2 1 1 2 4 5 6 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 9 8 7 7 8 8 8 9 9 10 10 11 12 13 13 12 nan
nan 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 8 8 8 8 10 11 12 12 11 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 13 16 19 21 19 15 13 11 10 10 10 10 9 9 8 8 7 6 6 5 4 2 1 2 3 4 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 11 13 15 15 15 14 12 12 11 11 10 10 11 11 12 13 14 14 13 12 nan
nan 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 8 8 9 10 12 13 14 13 12 10 10 9 9 9 8 8 8 8 8 9 10 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 13 18 21 22 20 18 17 15 14 13 13 11 10 9 8 7 7 7 6 6 3 1 0 0 1 3 4 4 3 3 4 4 5 6 6 7 7 8 8 8 8 8 9 9 10 11 12 13 15 17 18 18 17 16 14 13 13 12 12 11 12 13 14 14 13 12 12 nan
nan 11 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 8 8 8 9 9 11 13 15 15 14 13 11 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 7 6 6 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 15 18 20 21 22 21 20 19 19 18 16 13 11 10 9 8 8 7 7 5 3 0 -1 -0 2 3 4 4 4 4 5 5 7 8 9 9 9 9 9 10 11 11 12 12 13 12 12 12 13 14 14 14 14 14 13 13 13 12 12 12 13 13 13 12 12 12 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 12 12 11 10 9 8 8 9 10 11 13 14 15 14 13 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 9 8 7 7 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 10 11 11 12 14 15 17 19 20 19 20 21 22 21 18 17 16 16 14 12 10 9 9 8 7 6 5 7 8 9 9 9 9 9 9 10 12 13 13 12 11 11 11 12 11 11 11 10 8 7 7 8 11 12 12 13 14 14 14 14 14 13 13 12 12 12 12 11 11 nan
nan 11 11 12 12 12 12 12 13 13 13 13 12 11 10 10 10 10 11 12 13 14 14 13 13 12 10 9 9 9 9 10 11 12 13 13 13 13 13 12 12 12 11 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 9 8 8 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 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 13 14 15 15 17 19 22 23 21 21 21 22 22 20 17 15 14 15 15 15 14 14 14 14 15 15 15 14 14 13 13 13 13 12 11 10 10 10 9 8 7 7 6 5 6 8 12 14 16 16 17 17 16 16 16 14 13 12 12 11 11 11 11 nan
nan 11 11 12 12 13 13 13 14 14 14 13 12 11 11 10 10 10 10 11 13 14 14 14 14 13 11 10 9 9 9 9 10 11 11 12 12 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 10 10 10 10 10 10 10 10 9 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 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 13 16 18 19 18 18 19 21 23 23 22 20 18 16 15 15 15 15 15 15 16 16 16 16 15 13 13 13 13 12 11 10 10 10 9 9 9 10 10 10 11 12 13 15 16 16 17 17 16 15 14 13 12 12 11 11 11 11 10 nan
nan 11 11 12 13 13 13 14 14 14 14 13 12 12 11 11 11 10 10 11 13 14 15 15 15 13 12 11 10 9 9 9 10 10 10 10 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 9 10 11 10 10 10 10 11 10 9 7 8 8 9 10 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 14 16 17 18 18 18 16 14 13 13 13 13 13 13 13 13 14 15 15 15 15 15 16 16 14 13 12 12 11 12 13 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 nan
nan 11 11 12 13 13 13 14 14 14 14 13 13 12 12 11 11 11 11 11 13 15 16 16 15 13 12 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 10 9 9 9 10 10 10 9 10 11 12 11 9 7 7 7 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 13 13 13 13 13 13 13 12 12 13 13 12 12 12 13 14 15 16 16 16 17 16 15 13 12 11 10 11 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 nan
nan 11 12 12 12 13 13 14 14 14 14 13 13 12 12 12 11 11 11 12 14 16 16 16 15 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 10 10 10 10 9 9 9 10 12 12 12 10 8 7 8 9 9 10 10 10 10 9 9 10 10 10 9 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 10 10 8 7 7 7 8 9 10 10 10 11 11 11 12 12 12 12 12 12 12 11 10 11 11 12 12 12 12 13 13 13 13 13 13 12 11 10 9 8 9 10 10 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 11 10 10 11 12 13 nan
nan 11 11 12 12 12 13 13 14 14 13 13 12 12 12 12 11 11 11 12 14 16 16 16 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 8 9 9 10 11 11 11 10 9 8 8 10 12 12 12 10 9 8 8 9 10 10 10 10 9 8 9 9 10 10 10 8 6 5 4 5 5 6 6 8 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 11 9 7 5 3 3 3 5 6 8 9 9 10 10 10 10 10 11 13 13 11 9 7 6 8 10 11 11 10 10 10 10 11 10 10 10 9 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 nan
nan 10 11 11 12 12 13 14 14 14 13 13 12 12 12 12 12 11 12 12 14 15 15 15 14 13 12 12 12 12 12 12 13 13 13 13 13 12 11 11 11 10 10 10 11 11 11 12 11 11 10 10 10 10 9 9 8 8 8 8 9 11 12 12 11 10 9 8 9 10 11 11 11 10 9 9 10 10 10 10 9 7 7 7 8 9 10 11 10 8 5 3 2 2 2 2 3 4 6 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 14 16 15 14 13 11 10 7 4 2 0 1 2 3 5 6 7 7 6 6 7 9 13 15 12 9 5 2 4 7 9 10 10 9 9 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 nan
nan 10 10 11 12 13 13 14 14 13 13 13 12 12 12 12 12 12 12 12 13 14 14 14 14 13 12 12 12 12 12 12 12 13 13 13 12 11 10 10 9 9 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 9 10 11 11 11 11 10 9 9 9 10 10 10 10 10 11 11 12 12 12 10 8 6 4 4 4 6 8 11 12 10 8 5 3 1 -0 -1 -2 -1 1 3 5 6 7 8 9 10 10 10 10 10 8 7 7 7 7 8 9 12 14 16 16 15 14 12 10 8 5 3 1 0 1 2 4 5 5 4 2 3 6 11 14 13 10 5 1 2 5 8 9 10 9 9 10 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 10 10 11 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 14 14 14 14 13 13 12 12 12 12 12 12 12 13 13 12 11 10 9 9 8 9 9 9 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 10 10 11 11 12 12 13 14 15 15 13 10 7 3 1 1 3 6 10 13 13 11 8 5 3 0 -3 -5 -5 -4 -3 -1 0 2 3 6 8 10 11 10 8 5 2 0 1 2 3 6 9 12 13 14 13 12 11 10 8 7 5 4 3 3 4 5 5 4 3 2 4 8 11 11 10 6 3 4 6 8 9 10 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 nan
nan 10 10 11 11 12 12 12 12 13 12 12 12 12 12 12 12 12 12 13 14 14 15 15 15 14 13 13 13 12 12 12 12 12 12 12 12 12 11 10 9 9 8 8 9 9 9 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 12 13 15 18 19 18 16 11 6 3 1 1 4 8 10 11 10 9 7 4 1 -1 -3 -5 -5 -5 -5 -5 -4 -2 2 6 9 11 10 7 3 -0 -2 -1 -0 2 4 6 8 10 10 10 10 10 9 8 8 7 6 6 6 7 7 6 5 5 5 7 7 7 6 5 5 7 8 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 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
86 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 22 48 114 215 286 321 347 372 372 332 266 185 110 51 7 0 11 43 69 134 264 440 616 782 854 918 951 967 982 984 960 955 965 977 992 1009 1023 1043 1055 1060 1062 1054 1035 1010 987 965 944 916 887 858 824 784 748 727 694 622 530 456 422 408 359 324 310 297 279 271 285 280 277 286 286 290 311 346 387 475 592 700 772 774 695 574 451 371 300 326 434 549 625 621 594 596 607 584 533 507 504 430 278 148 79 56 50 61 73 97 113 122 125 123 122 131 135 131 123 116 109 99 85 73 68 64 57 48 40 33 24 24 26 29 33 37 41 44 47 47 44 37 26 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20 0 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 19 42 69 101 147 205 236 210 172 96 33 7 0 0 0 7 11 52 151 285 407 551 669 784 857 897 913 896 873 901 942 973 996 1010 1016 1036 1062 1081 1081 1058 1018 979 955 939 932 904 866 824 782 740 690 674 662 604 509 435 423 395 355 339 328 303 262 230 247 295 327 327 310 302 325 378 414 503 598 691 773 825 825 760 643 545 463 489 605 715 755 732 714 691 647 589 539 506 472 336 200 110 67 56 64 79 95 113 128 135 133 126 127 136 143 143 138 131 125 114 99 86 79 73 65 55 50 49 43 44 47 49 50 49 48 45 44 43 39 31 18 5 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 4 13 29 57 81 76 88 46 7 0 0 0 0 0 1 12 42 98 179 260 387 527 647 736 789 800 793 837 906 964 1004 1020 1011 1014 1043 1069 1073 1057 1021 975 947 945 948 934 908 879 845 789 673 636 629 583 494 417 403 400 372 388 391 354 300 274 270 290 317 334 345 376 457 584 576 577 599 649 731 833 918 914 794 661 566 562 646 750 802 773 712 646 557 452 363 284 192 138 98 76 70 76 93 102 115 132 154 164 154 144 145 164 178 171 154 145 143 134 119 104 93 82 69 56 52 56 53 55 61 65 64 59 52 48 44 39 32 23 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 3 21 12 1 0 0 0 0 0 0 1 3 4 2 23 125 232 334 417 468 483 486 527 615 688 736 775 822 875 916 956 976 987 985 964 941 947 963 972 969 954 923 856 720 658 624 560 471 405 399 415 386 386 404 400 365 325 301 298 294 311 354 423 528 688 727 685 631 610 658 781 924 964 866 734 627 588 626 703 753 703 595 490 376 254 169 123 105 93 86 86 93 103 114 122 138 158 174 176 168 165 170 177 174 158 144 146 148 142 132 120 107 92 74 59 58 62 65 67 68 67 71 67 62 57 48 38 26 17 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 2 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 17 48 82 106 109 93 94 134 201 269 315 352 418 535 621 698 755 800 834 849 841 838 849 866 877 879 865 822 747 686 639 576 500 445 448 439 410 402 407 401 374 339 324 340 314 302 338 424 548 715 798 784 718 652 655 767 910 950 886 779 677 610 597 657 694 619 498 384 287 199 109 65 78 83 89 97 103 115 125 131 145 164 175 175 174 175 174 179 156 133 134 134 135 138 140 131 118 105 87 73 69 63 51 37 36 59 75 77 76 69 58 43 26 16 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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147 107 80 57 30 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 19 29 69 119 173 225 253 239 196 163 147 143 140 143 173 264 339 384 420 446 457 451 434 422 404 389 378 364 345 333 325 321 302 296 314 357 440 549 633 769 847 863 871 872 870 859 832 796 765 731 660 619 548 441 333 259 222 195 145 111 99 96 98 102 100 94 90 118 142 153 157 156 149 138 134 155 176 169 140 117 119 128 133 131 125 119 116 108 85 61 40 29 42 57 63 65 62 56 50 47 43 38 27 16 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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