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 6 7 7 8 8 9 9 10 10 11 12 14 14 13 12 10 9 8 6 5 5 6 8 10 12 11 11 11 12 13 13 13 12 10 9 8 7 7 7 7 5 4 4 4 5 5 6 7 8 8 7 7 7 6 6 6 7 8 8 7 6 6 7 7 7 8 8 9 8 8 8 8 9 9 10 11 11 11 10 8 7 7 7 7 8 9 11 10 9 9 8 7 6 5 6 6 7 8 9 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 7 7 8 9 10 11 12 11 10 9 9 9 9 9 10 9 9 8 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 7 7 6 6 5 4 5 6 6 7 7 nan
nan 6 7 7 7 7 8 9 9 9 10 11 13 14 13 11 10 10 9 7 5 4 4 6 8 10 10 9 10 11 12 14 15 14 12 9 8 8 7 6 6 6 5 5 4 4 5 5 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 9 10 10 9 9 8 8 8 9 10 11 11 11 10 8 7 7 7 7 8 10 11 11 10 9 9 8 7 6 6 6 7 8 9 9 8 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 9 8 8 8 7 7 8 8 8 9 10 9 8 7 7 7 7 7 6 6 6 6 7 8 9 10 11 12 11 9 8 8 9 9 9 10 9 9 8 7 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 8 7 7 6 6 6 6 5 4 4 5 6 7 7 6 nan
nan 6 7 6 6 6 7 8 8 9 9 10 12 12 12 11 10 10 9 8 6 4 5 6 7 8 8 8 9 10 12 14 16 16 13 11 9 8 7 6 6 5 5 6 5 5 4 4 6 7 6 6 6 7 7 6 5 6 7 8 9 9 9 8 9 10 11 11 10 10 9 9 9 9 10 11 11 10 8 6 6 6 8 9 11 12 11 10 9 9 9 7 5 5 5 7 8 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 9 9 8 7 7 7 7 7 6 6 7 8 9 10 11 12 11 10 9 8 8 9 9 10 10 9 8 8 7 7 6 6 7 7 6 6 6 7 8 9 9 9 9 9 8 7 6 6 6 6 5 5 5 5 6 7 7 6 nan
nan 6 7 7 6 6 7 7 8 8 8 9 10 11 12 11 11 10 9 8 7 6 6 6 7 7 8 8 9 9 11 13 15 16 15 13 11 9 8 7 6 5 5 6 7 6 4 3 5 6 6 6 7 7 7 6 7 8 9 11 11 11 10 9 9 9 10 11 11 11 10 10 11 11 12 12 11 9 7 6 6 6 8 11 12 12 9 8 8 9 8 6 4 4 6 8 9 8 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 10 11 11 10 8 7 7 7 7 7 6 7 7 8 9 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 6 6 6 7 8 9 9 9 9 9 8 7 7 7 7 7 6 6 6 7 7 7 7 7 nan
nan 6 6 7 7 6 7 7 7 7 8 8 9 10 11 11 10 9 9 8 8 8 8 7 7 7 8 8 8 9 10 11 13 14 15 13 12 10 9 8 7 5 5 7 8 7 5 3 5 7 7 7 7 8 8 9 10 11 12 13 13 13 12 11 9 9 9 10 11 12 12 12 12 13 13 12 10 9 7 7 7 7 8 11 12 10 7 7 8 9 7 5 4 5 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 8 8 8 8 9 10 11 11 11 9 8 7 7 7 6 6 6 7 8 9 10 11 11 10 9 9 9 9 9 9 9 8 9 9 10 10 10 8 7 6 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 7 7 7 8 nan
nan 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 10 12 14 14 13 11 10 9 9 8 7 7 8 9 8 6 5 6 8 8 8 8 9 10 11 13 13 14 14 13 13 13 12 11 10 10 10 11 12 13 13 13 14 13 11 10 9 8 7 7 7 8 10 10 8 8 8 8 8 8 6 5 6 6 7 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 6 7 7 7 7 8 8 8 9 10 10 10 10 10 9 7 6 6 6 6 6 7 8 9 10 10 9 9 8 8 9 9 9 9 8 8 9 10 10 10 9 7 5 4 4 4 5 4 5 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 nan
nan 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 12 14 13 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 12 12 12 12 11 11 11 9 7 7 7 7 8 9 9 9 9 9 9 9 9 8 6 5 6 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 7 7 6 6 6 7 7 7 7 8 9 9 9 9 10 11 10 8 7 6 6 6 6 7 8 8 9 9 10 9 9 9 9 8 8 8 8 8 9 9 9 9 8 6 5 4 4 5 6 6 5 6 7 7 8 9 9 10 10 10 9 9 8 8 8 9 9 10 9 nan
nan 7 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 9 7 7 6 6 6 6 7 7 7 7 8 9 10 12 13 11 9 9 8 8 7 7 8 8 8 9 11 11 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 7 7 7 7 8 8 9 10 11 10 9 8 8 7 6 5 7 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 6 6 6 6 7 8 8 8 9 10 11 12 10 8 8 7 7 6 6 6 7 8 8 9 10 11 10 10 9 8 7 7 8 9 8 8 7 8 7 6 6 6 7 8 8 8 7 6 6 6 6 7 9 11 11 10 9 8 8 8 9 10 10 10 9 nan
nan 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 7 6 6 6 6 7 7 7 7 8 8 9 11 12 12 11 10 8 7 6 6 7 7 8 11 13 14 11 8 8 7 7 5 4 4 3 4 4 5 5 5 5 6 6 7 7 8 8 8 8 7 7 7 8 9 10 9 8 8 7 7 8 8 10 12 12 10 8 7 7 7 6 6 8 9 9 7 8 8 8 9 9 9 9 9 10 9 9 9 8 7 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 7 8 8 9 10 10 10 9 9 8 8 7 6 6 6 7 8 8 10 11 11 11 10 8 7 7 7 8 8 8 7 8 7 7 7 7 9 9 9 8 7 6 6 5 5 6 8 10 10 9 8 7 8 9 10 10 10 9 9 nan
nan 10 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 9 7 6 6 6 7 7 7 7 8 8 8 9 10 11 12 12 11 9 7 5 4 5 6 9 12 14 14 12 9 8 6 6 6 5 4 4 3 3 3 2 2 3 4 5 6 7 8 8 8 7 6 5 6 7 8 9 8 8 8 7 8 8 9 11 12 12 10 8 7 7 6 6 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 9 10 10 10 9 8 6 6 6 6 7 7 8 9 10 11 11 10 8 7 7 7 8 8 8 9 8 7 7 8 9 10 9 8 7 6 6 6 5 6 7 8 8 7 7 7 8 10 10 9 8 8 8 nan
nan 11 11 11 11 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 7 7 7 7 7 8 8 8 8 8 8 9 10 12 12 11 9 7 5 4 4 5 8 11 13 14 13 11 9 8 8 8 9 9 7 5 3 2 2 2 3 4 5 6 7 7 8 7 5 4 5 6 6 7 7 7 7 7 8 8 9 10 11 11 11 10 8 7 7 6 7 8 8 9 9 9 9 9 9 8 8 10 10 10 10 9 9 9 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 6 6 7 9 10 11 11 10 9 8 7 6 7 7 7 7 8 9 10 10 9 8 8 8 8 8 9 10 10 10 9 8 9 9 9 10 9 8 7 8 8 7 6 7 7 7 6 5 6 9 9 9 8 7 8 8 nan
nan 11 11 11 10 10 11 11 11 10 10 10 9 9 10 10 9 9 9 10 11 10 8 8 7 7 8 8 8 8 8 8 9 8 9 10 11 10 9 7 6 5 5 5 7 10 12 13 13 11 9 9 9 10 11 11 9 7 4 2 2 3 4 5 6 6 6 6 6 5 4 5 6 6 6 6 6 6 7 8 9 10 10 10 9 10 10 10 8 8 8 8 8 9 9 10 9 9 9 9 9 8 9 10 10 10 9 9 9 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 9 9 9 8 8 8 8 8 7 8 8 8 8 8 9 9 10 10 10 10 11 11 11 9 8 8 8 9 9 9 8 8 9 9 8 8 9 8 7 6 6 7 8 9 8 8 8 9 9 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 10 9 9 9 9 9 8 8 9 9 10 9 9 9 9 9 8 7 6 6 6 6 7 9 12 13 13 10 8 8 9 9 10 11 11 8 4 3 3 6 7 6 6 5 5 5 5 5 6 6 7 7 6 6 7 8 9 10 11 10 10 9 8 9 9 9 9 9 9 8 9 9 9 9 8 8 8 9 9 8 8 9 9 9 8 8 8 8 7 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 9 9 10 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 10 11 11 11 11 11 12 12 11 10 8 7 7 7 8 8 8 8 8 8 9 9 10 10 8 7 7 8 8 8 8 8 9 9 9 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 11 11 11 11 10 9 9 9 9 10 11 11 9 8 8 8 7 6 6 6 7 8 9 10 12 14 12 8 6 7 8 8 10 12 12 9 6 4 5 8 9 7 6 5 4 5 6 8 8 8 7 7 7 8 9 10 11 12 11 11 10 9 8 7 8 9 10 10 9 9 9 9 9 9 8 8 9 10 9 8 8 9 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 8 8 7 7 7 7 7 7 8 9 10 11 10 9 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 10 10 11 11 11 11 12 12 11 10 8 7 7 8 8 7 7 7 8 7 8 9 11 11 9 9 9 9 9 8 7 8 9 9 9 nan
nan 7 7 7 7 8 8 8 9 9 9 9 8 8 9 10 10 10 10 10 11 12 13 13 13 13 11 10 10 9 10 11 12 11 10 8 8 7 7 6 5 6 8 9 10 11 13 14 11 7 5 6 8 9 11 13 13 10 7 5 5 7 8 7 5 5 6 7 8 9 8 7 7 7 8 9 11 12 12 12 11 11 10 8 7 7 7 9 10 12 11 10 10 9 9 9 8 8 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 7 7 8 8 8 7 8 8 9 10 11 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 10 11 11 11 10 9 8 8 7 7 7 7 7 6 7 8 9 10 10 10 11 10 9 8 7 7 8 8 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 11 13 14 15 15 14 12 11 11 10 10 11 12 13 12 10 8 7 6 5 5 7 9 10 11 12 13 13 10 6 5 6 8 10 12 13 13 10 6 5 5 6 6 6 6 7 8 9 10 8 7 6 6 8 9 10 11 12 12 11 11 10 10 9 8 8 8 9 11 12 12 11 10 9 8 9 9 9 9 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 8 8 8 8 8 8 7 6 5 6 7 8 9 10 10 10 8 7 7 8 8 8 8 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 14 15 15 15 14 13 12 11 11 11 13 14 16 16 13 10 9 7 6 6 7 9 11 11 12 13 13 11 8 6 7 8 10 13 15 12 7 5 4 5 6 6 7 8 9 9 10 9 8 7 7 7 9 9 10 10 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 8 8 8 9 9 10 10 9 9 9 9 8 8 8 7 8 8 8 8 9 9 9 9 9 8 9 10 11 10 9 9 9 9 9 8 6 5 5 5 5 5 7 8 8 7 6 6 7 8 9 8 8 nan
nan 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 11 13 14 15 15 15 15 15 15 14 13 13 12 12 14 16 18 19 16 12 10 9 8 7 8 10 11 12 13 13 12 11 9 7 8 9 11 13 14 10 6 5 5 7 7 6 7 8 9 10 10 9 9 8 8 9 9 10 10 10 10 9 10 9 8 7 8 9 9 9 8 8 8 10 10 10 10 10 10 9 8 8 8 8 8 8 8 7 8 8 8 7 7 6 6 7 8 8 8 8 8 8 9 9 10 10 10 9 9 8 7 7 7 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 10 10 9 9 8 9 10 10 10 10 10 11 10 8 6 6 5 4 4 5 5 5 5 5 5 6 7 8 8 8 8 nan
nan 11 10 9 8 8 8 8 8 9 9 10 10 10 10 10 11 12 14 16 16 15 15 16 16 16 15 14 13 13 13 13 15 18 18 17 14 12 10 9 8 9 10 12 12 12 12 12 11 9 8 8 10 12 13 11 8 5 5 7 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 8 7 7 7 9 9 9 9 10 10 9 8 8 9 9 9 8 8 8 8 8 8 7 6 6 6 7 8 8 8 9 9 9 9 9 9 10 10 9 9 8 7 8 8 9 8 8 8 7 7 8 8 9 8 8 9 10 9 9 9 9 8 8 8 7 7 7 7 7 8 9 9 9 8 8 9 9 10 10 11 12 11 9 8 7 6 5 5 5 5 4 4 5 5 5 6 7 7 7 7 nan
nan 10 9 8 8 8 7 8 8 8 9 10 10 11 11 11 12 14 15 16 16 16 16 17 17 16 16 15 14 13 12 12 13 14 15 15 13 12 10 9 9 10 11 12 13 12 12 11 10 9 8 9 11 12 12 10 7 6 7 9 10 10 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 6 5 6 6 7 7 7 7 7 7 7 7 8 9 9 8 8 9 10 10 9 8 8 8 9 8 8 8 6 6 7 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 9 9 10 10 9 9 9 9 9 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 nan
nan 8 8 7 7 7 7 7 8 8 9 9 10 10 10 11 12 14 15 14 14 15 17 18 17 16 15 14 13 12 11 11 11 11 11 12 11 10 9 9 9 10 11 12 13 12 11 11 11 10 10 11 11 11 10 9 7 7 8 10 11 11 10 9 9 9 8 8 8 7 8 9 10 9 8 8 9 9 8 8 7 6 6 6 7 7 7 7 7 7 7 6 6 6 7 8 8 9 10 10 10 9 8 8 9 9 8 8 7 6 7 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 8 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 6 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 9 9 8 8 8 8 7 7 7 7 6 6 8 8 nan
nan 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 10 11 12 12 12 14 16 17 16 16 15 14 13 11 10 9 9 10 10 10 10 9 8 8 8 9 11 12 12 12 12 11 11 11 12 12 12 10 9 8 8 8 9 10 11 10 10 9 8 7 7 8 8 8 9 10 10 9 8 9 10 10 8 7 6 6 6 7 7 7 7 8 7 7 7 7 6 6 6 7 8 9 10 10 9 8 8 8 8 8 8 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 8 8 8 10 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 7 8 9 9 nan
nan 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 7 9 9 9 11 13 14 15 14 14 13 13 12 11 10 10 9 9 9 9 8 8 7 8 8 9 10 11 11 12 12 12 12 13 13 13 12 10 8 7 7 8 10 11 11 11 10 9 8 7 8 8 9 9 10 11 10 8 8 10 11 10 7 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 6 7 8 9 10 10 8 7 7 7 8 8 8 8 8 9 9 10 11 11 10 9 8 7 7 8 8 9 8 9 9 8 8 8 8 7 7 7 8 9 8 8 9 10 11 10 10 10 9 9 9 8 9 10 9 9 8 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 6 6 5 6 6 6 7 7 7 7 8 8 9 8 9 10 10 10 nan
nan 6 6 6 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 8 9 11 12 12 11 11 11 11 11 11 11 10 10 9 9 9 8 7 7 7 8 9 10 10 11 11 12 12 13 13 14 13 12 11 9 8 8 9 11 12 12 12 11 10 8 8 8 9 9 10 10 10 9 8 8 9 9 7 5 3 3 4 5 6 7 7 8 8 7 7 8 8 8 7 7 7 8 9 10 9 8 7 7 7 8 9 9 8 9 9 10 10 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 7 7 8 8 9 10 9 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 9 9 9 10 10 9 9 9 9 9 8 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 9 9 10 9 9 nan
nan 7 7 7 7 7 8 8 8 8 8 8 10 10 10 9 8 6 6 7 8 9 9 9 9 9 10 10 11 11 11 10 9 10 10 9 8 7 7 7 8 8 9 9 10 11 11 12 12 13 13 13 12 11 10 9 9 10 11 12 13 12 10 9 9 9 9 9 9 10 9 9 8 7 7 7 6 4 2 2 3 5 6 7 7 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 9 8 8 7 8 8 8 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 9 nan
nan 8 8 8 8 8 9 10 10 9 9 9 9 10 10 9 8 7 6 6 7 7 7 7 8 8 9 9 10 10 10 9 9 10 10 9 8 7 6 6 7 8 9 9 10 10 11 11 11 12 12 12 12 11 11 10 10 11 12 13 13 10 8 8 10 11 10 9 9 8 8 8 8 7 5 3 2 2 2 2 4 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 7 7 6 6 6 6 6 7 8 9 9 9 9 9 9 9 8 8 7 8 8 8 8 9 10 10 10 9 8 8 8 6 6 7 8 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 9 9 8 7 7 8 9 9 8 8 7 7 8 8 9 nan
nan 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 7 6 6 7 8 8 9 10 10 9 8 9 9 10 10 8 7 6 6 7 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 12 8 7 9 12 13 12 9 7 6 6 7 8 7 4 1 1 2 3 5 6 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 8 8 8 7 6 5 5 6 8 8 8 8 8 8 9 9 8 8 7 7 7 8 9 9 10 10 9 8 8 9 9 8 7 9 11 11 10 9 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 10 9 9 8 8 8 8 9 9 9 8 7 7 7 8 8 9 nan
nan 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 8 7 7 7 6 6 6 7 8 9 10 10 9 8 8 8 9 10 10 9 7 6 6 7 8 9 9 10 10 10 9 9 10 11 11 11 11 11 11 12 14 15 15 12 9 8 11 13 14 11 8 5 4 5 7 8 7 2 -0 1 3 5 7 8 9 8 7 7 6 7 7 7 7 7 7 8 7 7 7 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 7 5 4 5 7 8 8 8 8 8 8 8 9 9 8 7 7 8 9 9 9 8 8 7 8 10 10 9 9 10 11 11 10 9 8 8 7 6 7 8 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 8 8 7 7 7 8 8 8 9 nan
nan 10 10 11 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 8 8 7 7 7 8 9 10 10 10 9 8 7 8 9 10 10 9 8 7 7 7 8 9 9 10 10 9 9 8 9 10 10 10 10 10 12 14 15 16 15 13 11 11 11 12 11 10 8 5 4 6 9 10 6 1 0 2 5 7 8 9 9 8 7 6 6 7 7 7 7 7 8 7 7 7 8 8 8 9 9 8 8 8 9 9 9 9 10 10 11 10 8 6 4 4 6 8 9 9 9 8 8 8 9 9 8 8 8 9 9 9 8 7 7 7 9 10 11 10 10 10 10 10 10 9 9 8 7 7 7 8 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 9 9 nan
nan 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 10 10 11 10 9 8 8 8 9 10 10 9 8 7 7 8 8 8 9 9 9 9 8 8 9 10 10 10 10 10 12 14 15 16 15 14 13 12 10 8 7 9 9 7 7 8 10 10 5 1 2 4 6 7 8 10 10 8 7 6 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 8 8 8 9 10 11 10 10 9 8 7 6 5 5 6 8 8 8 9 9 8 8 8 8 8 9 9 9 9 8 7 7 7 8 10 11 10 9 9 9 10 9 9 8 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 9 7 7 7 7 8 8 9 9 9 nan
nan 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 13 14 15 14 14 13 12 10 7 5 7 10 11 10 9 9 9 8 4 3 5 6 7 8 9 10 10 8 7 7 7 7 7 7 7 7 7 7 7 9 10 11 11 10 9 8 7 8 8 9 10 11 11 10 8 5 4 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 9 11 11 10 9 9 9 10 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 8 8 9 10 11 11 10 8 8 7 7 7 7 8 8 8 nan
nan 14 13 13 12 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 8 8 8 9 8 8 8 8 8 7 7 8 8 8 7 7 7 8 9 10 10 11 12 13 13 13 13 12 12 11 8 6 5 8 11 13 11 9 9 8 7 6 6 8 9 9 8 8 9 8 7 7 7 8 8 7 7 8 8 8 8 10 11 12 12 11 10 9 8 8 8 8 8 10 11 12 11 8 3 2 3 6 7 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 9 8 8 8 8 7 7 7 7 6 6 7 7 8 8 8 9 9 9 9 8 9 9 9 9 9 10 9 9 10 10 11 12 12 11 9 8 8 6 6 7 8 8 7 nan
nan 14 13 12 11 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 11 11 10 9 8 8 8 8 8 9 10 10 8 8 8 8 8 8 8 8 8 8 7 8 8 7 7 6 7 8 9 10 10 11 12 12 13 12 12 11 11 10 8 6 6 8 11 12 10 9 9 8 8 8 8 9 10 10 9 8 7 7 7 8 8 8 7 8 8 9 9 9 10 12 13 13 11 10 10 9 9 9 8 8 8 8 10 11 12 8 3 2 3 6 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 10 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 9 8 7 7 8 7 7 6 nan
nan 13 12 11 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 10 8 8 8 8 8 9 10 11 10 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 10 11 12 12 12 12 11 11 11 10 10 8 8 7 8 9 10 10 10 10 9 8 8 10 10 9 8 6 6 7 7 8 8 7 8 9 10 10 10 10 11 13 13 12 10 10 9 9 9 9 9 8 7 7 8 9 10 7 4 4 5 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 9 10 10 9 8 7 7 8 8 9 9 9 9 9 8 8 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 6 6 nan
nan 12 11 9 8 8 8 8 8 8 8 8 7 8 9 9 10 10 10 10 11 10 10 9 8 8 8 8 9 10 10 9 9 9 9 9 8 8 7 8 9 9 8 8 7 7 7 6 6 7 8 9 10 11 12 12 12 11 11 11 11 11 10 10 8 7 7 8 10 10 10 10 9 8 9 10 10 9 7 6 6 7 7 7 8 9 10 11 12 11 10 11 13 13 12 11 10 9 9 9 10 10 9 8 7 6 6 7 8 7 5 6 7 8 8 9 9 9 9 9 9 9 8 8 7 8 8 9 10 10 10 9 7 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 7 6 7 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 nan
nan 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 8 7 7 8 9 10 10 9 9 9 9 9 9 8 8 9 9 9 8 7 7 7 7 6 6 6 7 9 10 10 11 11 11 11 11 12 12 11 10 10 9 8 8 9 10 10 10 10 9 8 8 9 8 7 6 6 7 7 7 8 8 10 11 11 11 10 10 12 13 13 11 10 9 9 9 9 9 9 9 8 7 6 7 8 8 7 7 6 6 7 8 8 8 8 9 9 10 10 9 8 8 7 8 10 11 10 9 8 7 8 8 9 9 9 9 9 9 9 8 8 8 10 10 10 10 10 10 9 7 7 7 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 9 9 8 8 7 nan
nan 10 10 9 9 8 8 8 8 8 9 8 8 8 9 9 9 10 10 10 10 10 10 9 8 7 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 6 6 6 7 8 9 9 10 10 10 10 11 11 12 12 11 10 9 9 9 9 9 8 9 9 9 8 8 8 7 7 6 6 6 7 8 9 9 10 10 10 10 11 12 13 13 11 10 9 9 9 9 9 9 9 8 8 7 7 7 8 9 8 8 6 5 5 6 7 8 8 9 10 10 10 10 8 8 8 9 10 11 10 9 8 9 9 9 9 9 9 9 10 10 9 8 8 8 9 9 10 10 11 11 9 8 7 7 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 nan
nan 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 8 8 8 8 9 10 11 11 11 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 11 12 12 11 10 10 10 10 9 8 7 8 9 9 9 9 8 8 8 7 6 6 7 9 10 10 10 10 11 12 13 14 13 12 11 10 10 9 9 9 9 9 8 9 8 8 8 8 8 9 9 9 7 5 3 4 6 7 8 9 9 10 9 9 8 8 8 9 10 10 9 9 10 11 11 10 10 9 9 9 9 10 9 9 8 8 8 8 9 10 10 10 9 7 7 7 8 9 9 9 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 nan
nan 10 10 10 10 9 9 9 9 9 9 10 9 9 9 8 9 9 10 11 12 11 10 10 9 8 8 9 10 11 12 12 11 11 10 10 10 10 9 9 9 8 8 7 8 8 9 8 8 8 8 8 8 8 8 9 10 10 10 11 11 11 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 7 6 7 8 10 11 11 11 11 11 12 12 12 12 11 10 10 11 10 9 9 8 8 8 9 9 8 8 8 8 8 10 11 10 6 2 2 5 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 7 7 7 7 8 9 9 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 9 10 11 12 12 11 10 9 9 10 10 11 12 12 12 11 11 11 11 11 10 10 9 9 9 9 8 9 10 10 10 9 8 8 8 8 8 8 8 10 11 11 11 10 10 10 10 11 11 11 10 9 10 10 10 9 8 8 9 10 9 7 7 8 10 11 11 11 11 10 9 9 10 10 9 9 10 10 10 9 8 8 8 8 9 9 9 8 8 7 7 8 10 12 10 7 3 3 6 8 8 9 9 9 9 9 8 9 9 9 9 8 8 9 10 10 10 10 9 9 9 8 8 7 7 8 8 8 8 7 8 8 9 9 8 8 7 7 7 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 nan
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nan 11 11 11 11 11 12 12 13 13 14 14 14 13 13 12 12 12 12 12 12 13 13 14 14 13 13 12 12 11 11 10 10 9 9 9 8 8 8 8 9 10 10 10 9 9 10 12 13 14 13 13 13 13 13 12 11 11 11 12 12 11 11 10 9 9 8 7 7 6 6 6 6 8 8 8 7 6 6 6 7 7 8 9 10 11 11 11 11 12 12 11 9 7 6 6 8 9 10 11 12 12 12 13 12 12 11 10 10 9 9 9 8 7 7 7 6 6 7 8 9 10 11 10 10 9 10 12 14 14 13 11 8 7 7 7 8 8 9 9 10 11 12 12 10 9 9 9 8 4 -3 -6 -4 -1 3 8 9 8 8 9 7 2 -2 -0 4 8 9 9 11 16 19 18 15 13 11 10 9 9 9 9 9 10 10 10 11 12 nan
nan 12 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 11 10 9 9 9 9 8 8 7 8 8 9 10 10 10 11 12 13 13 13 12 12 13 13 12 12 11 10 10 10 10 10 10 9 9 8 7 7 6 6 6 7 7 8 8 7 7 6 7 7 8 8 9 9 10 11 12 12 11 10 9 7 5 5 6 7 9 11 12 12 12 12 12 12 12 12 11 10 10 10 10 9 9 8 7 7 6 6 6 8 9 10 10 10 10 9 10 12 14 15 15 11 8 7 7 7 8 8 8 9 9 11 11 11 10 9 9 9 9 7 3 2 3 4 7 10 9 7 6 5 1 -2 -3 1 5 8 9 9 11 15 17 16 14 12 11 11 11 11 10 10 11 11 11 11 11 12 nan
nan 13 13 13 12 12 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 12 12 11 11 10 10 9 9 9 9 9 8 8 8 9 11 11 12 12 13 13 14 14 13 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 7 5 4 5 7 9 10 11 12 13 12 11 11 10 11 11 11 11 11 10 10 10 10 9 8 8 7 6 6 6 8 9 10 10 10 10 9 10 11 14 16 16 11 8 7 6 7 7 8 8 8 9 9 10 11 10 9 9 10 11 10 9 8 8 6 8 10 7 4 2 0 -3 -3 -1 4 7 8 9 9 12 15 16 15 13 12 12 12 12 11 11 11 11 11 10 10 11 13 nan
nan 14 14 14 14 14 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 10 11 12 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 8 8 9 8 8 8 8 8 8 8 9 8 8 7 6 5 5 5 7 9 11 12 12 12 12 12 11 10 9 9 9 10 10 11 11 11 11 11 10 10 9 8 7 6 6 6 7 8 9 10 10 10 9 9 10 13 17 16 12 9 7 6 6 7 8 9 9 9 9 9 10 10 10 10 10 11 10 10 10 9 7 9 9 7 5 2 0 -0 2 4 7 8 9 9 9 11 13 13 13 12 12 12 12 12 11 10 10 10 10 10 11 12 14 nan
nan 12 13 14 14 14 14 14 13 13 12 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 11 12 13 12 12 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 6 5 6 6 7 8 10 11 12 12 12 11 11 11 10 10 8 8 8 9 10 11 12 12 12 12 11 10 9 9 8 6 5 5 6 8 9 9 9 9 9 9 10 13 16 16 12 9 7 6 6 7 8 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 8 5 4 4 5 6 8 9 9 9 8 9 9 9 9 10 11 12 13 13 11 11 10 10 9 9 10 11 12 13 nan
nan 11 11 12 13 14 14 13 13 12 11 11 10 10 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 9 9 9 9 10 10 11 12 12 12 11 10 9 9 10 10 10 9 9 9 9 9 9 10 11 11 11 11 10 10 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 7 7 7 7 8 9 9 10 10 11 11 12 11 11 10 10 11 11 10 9 8 9 9 10 11 12 12 12 12 12 11 10 9 8 7 6 5 5 7 8 9 9 9 9 9 10 12 15 16 14 10 7 6 7 8 8 9 10 10 9 9 9 9 8 8 8 8 9 10 11 11 12 11 9 6 4 4 5 6 7 8 9 9 8 8 8 8 8 8 11 13 15 14 13 11 11 10 10 9 9 8 8 7 8 nan
nan 10 11 12 13 13 14 13 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 9 8 8 8 9 9 9 8 8 8 8 9 9 10 11 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 11 10 10 10 11 11 11 11 10 10 10 11 11 10 9 9 9 10 10 11 12 12 12 12 12 11 11 10 9 8 7 5 5 6 8 8 9 9 9 9 10 11 14 16 15 11 8 7 7 7 8 8 9 9 9 8 8 8 8 7 7 8 9 10 11 11 11 10 7 3 1 3 5 6 8 8 9 8 8 8 8 8 8 9 12 15 16 15 14 13 11 10 8 6 3 1 0 2 5 nan
nan 11 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 12 12 12 12 13 12 12 12 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 11 12 12 13 13 13 12 11 10 10 9 7 5 4 5 7 8 8 9 9 9 10 10 13 16 16 14 11 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 10 11 11 11 11 9 4 -0 -1 1 3 6 8 8 8 8 8 8 8 8 9 10 12 15 17 17 16 13 10 7 4 0 -3 -5 -3 4 9 nan
nan 12 13 13 13 13 13 13 12 12 12 13 13 14 14 14 13 13 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 12 12 11 11 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 12 13 13 13 12 11 9 8 8 8 7 5 5 6 8 9 9 9 9 9 9 12 16 17 16 12 9 8 7 7 7 8 8 9 9 8 8 8 8 8 10 11 12 12 12 11 8 2 -3 -3 -1 3 6 8 8 8 8 8 8 9 9 10 11 13 16 19 21 18 12 6 1 -1 -2 -2 -0 6 13 17 nan
nan 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 11 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 12 12 13 13 13 12 10 7 5 7 9 9 8 7 7 7 8 9 9 9 9 9 11 14 15 14 12 8 6 6 5 6 8 9 9 8 8 8 9 9 10 11 12 13 13 13 11 6 1 -4 -4 -1 3 6 7 7 7 8 8 9 10 11 12 13 15 19 23 23 17 8 1 -2 -1 1 4 8 15 20 21 nan
nan 12 12 12 13 13 12 12 11 10 10 9 9 9 11 11 12 12 12 12 11 10 9 8 8 8 9 9 9 9 10 10 10 11 12 13 14 15 16 17 18 17 16 15 15 14 14 14 13 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 9 9 10 10 11 11 11 11 11 11 12 12 11 10 10 10 10 10 11 11 11 11 10 9 9 10 10 11 11 11 12 12 12 12 11 10 6 4 5 7 8 10 10 9 7 7 8 9 9 9 10 10 12 12 11 9 6 3 1 3 7 9 10 9 8 9 10 10 10 11 12 13 13 13 12 9 5 -1 -5 -4 -0 4 6 6 7 8 8 9 10 12 12 13 15 18 22 25 20 10 1 -2 -0 4 6 8 11 15 18 21 nan
nan 11 11 11 11 12 12 11 10 10 9 8 8 9 10 12 13 14 14 13 12 11 10 9 9 10 10 10 11 11 12 13 13 14 15 15 16 17 18 18 18 16 15 14 14 13 13 12 11 11 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 6 7 7 8 8 8 9 9 9 9 10 10 10 10 11 11 12 12 12 10 9 8 9 9 10 10 10 10 10 9 9 9 10 11 12 11 11 11 10 10 10 10 10 9 6 4 3 4 10 14 12 9 6 7 8 10 10 10 10 10 9 9 8 5 2 1 5 10 12 12 10 10 11 12 12 11 12 12 13 12 11 10 7 4 -2 -5 -3 0 3 5 7 8 9 10 11 12 13 13 15 18 22 26 24 13 3 -1 -0 5 8 9 10 12 15 19 23 nan
nan 10 9 9 10 10 10 10 10 10 9 9 9 10 11 13 15 16 16 15 13 12 11 10 10 10 10 11 12 13 13 14 15 15 15 15 15 15 15 14 13 12 12 12 11 11 11 11 10 10 10 9 9 9 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 9 8 7 7 8 9 9 9 9 9 9 9 9 10 12 12 12 11 10 9 9 9 9 10 10 8 5 2 1 7 14 14 11 7 7 9 11 12 12 11 10 9 8 7 5 3 4 10 14 14 13 12 13 13 13 12 12 12 11 11 9 8 7 5 2 -3 -5 -3 0 4 7 8 9 11 12 13 13 13 14 16 20 24 24 15 4 0 0 5 8 9 10 11 14 19 24 28 nan
nan 10 9 9 9 9 9 10 10 10 11 11 12 13 15 16 17 17 15 14 13 12 11 11 10 10 10 10 11 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 7 8 8 8 9 9 9 9 10 10 10 9 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 10 10 9 8 7 7 8 8 9 9 9 8 8 8 8 9 10 11 11 11 10 10 9 9 8 9 10 9 7 2 0 5 10 12 12 10 10 12 14 14 13 12 11 9 8 7 6 5 8 12 13 12 12 12 13 13 12 11 11 11 10 8 6 4 2 -0 -4 -7 -7 -3 2 6 9 10 12 12 13 13 14 14 15 17 18 19 13 3 -1 -1 4 8 9 10 10 12 17 23 28 28 nan
nan 11 10 9 9 9 9 10 10 11 11 13 14 16 17 17 16 15 13 12 12 12 12 11 11 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 10 8 5 3 4 6 9 11 13 14 15 16 15 14 12 11 9 8 7 7 7 9 10 10 11 12 13 13 12 11 10 10 10 8 6 2 -1 -4 -6 -8 -7 -3 1 7 10 11 12 13 14 14 15 16 16 16 16 15 12 5 1 1 4 8 10 10 11 12 17 23 28 30 26 nan
nan 11 11 10 10 10 10 11 11 11 12 14 15 16 15 14 12 11 11 12 12 13 13 13 12 12 11 11 11 10 10 10 9 9 9 9 10 11 12 12 12 11 11 11 11 10 10 10 9 9 8 7 7 8 8 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 9 8 6 4 4 5 10 14 15 15 14 12 12 11 10 9 8 8 8 8 9 9 10 12 14 15 14 13 11 10 8 6 3 0 -3 -6 -6 -5 -2 1 5 9 11 13 13 13 14 14 16 18 21 21 20 18 15 11 8 6 7 9 10 10 11 13 18 25 30 31 28 22 nan
nan 11 10 10 10 11 11 12 12 12 13 13 13 13 12 10 10 10 11 12 13 14 14 14 14 13 13 12 12 11 10 10 9 9 9 10 11 12 12 12 12 11 10 10 10 10 10 9 9 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 6 3 3 7 10 11 10 9 9 9 9 8 8 9 9 9 10 10 10 10 13 16 16 15 13 9 5 1 -1 -3 -4 -5 -4 -1 3 7 10 12 13 13 13 14 15 16 18 22 26 28 26 23 20 17 13 11 9 9 9 10 11 14 20 27 31 31 28 21 16 nan
nan 9 9 9 10 11 12 13 13 13 12 11 10 10 9 8 9 10 11 13 13 14 14 14 14 14 13 13 13 12 11 10 10 9 10 11 12 12 12 12 12 11 10 10 10 10 9 9 9 8 8 8 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 7 3 2 4 5 5 5 6 8 8 7 7 9 10 10 10 11 11 11 11 13 14 14 13 11 5 -0 -3 -3 -2 -0 2 5 8 12 14 15 14 14 15 17 19 21 23 25 28 30 28 23 18 14 11 7 6 6 8 10 11 15 21 27 31 29 25 19 14 12 nan
nan 9 9 9 11 12 13 14 14 13 12 11 10 9 8 8 9 10 11 12 13 14 14 14 14 14 14 13 13 12 11 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 10 10 10 10 9 10 10 11 11 11 11 11 9 7 5 5 4 3 4 7 7 6 5 7 10 12 12 12 11 11 11 12 12 13 13 13 11 6 3 3 5 8 10 12 14 17 19 19 17 16 17 19 22 23 23 24 24 23 20 15 11 7 4 1 0 3 8 12 15 18 22 28 30 28 23 17 13 12 11 nan
nan 9 10 10 12 13 14 15 15 14 13 12 11 10 8 9 9 10 10 11 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 9 9 9 8 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 9 8 6 4 5 8 7 6 5 8 13 15 15 14 12 12 13 14 16 18 19 20 17 14 13 14 16 17 18 19 20 22 21 18 15 14 15 17 17 16 15 14 12 8 5 3 4 5 5 5 8 13 17 20 22 25 29 30 27 22 17 13 12 11 11 nan
nan 10 11 11 12 13 15 15 15 14 14 13 12 11 9 9 9 10 10 11 12 12 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 9 9 9 9 8 8 9 9 9 10 9 9 9 8 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 10 9 8 6 6 7 8 7 7 7 11 15 16 15 13 12 13 15 18 21 23 24 23 20 19 19 19 20 20 20 19 19 17 13 9 6 7 10 12 11 9 8 8 7 5 6 10 14 17 17 17 20 23 24 25 26 27 27 24 19 15 13 12 11 11 11 nan
nan 11 11 11 12 12 13 14 14 14 14 13 12 11 10 9 9 9 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 9 8 7 6 7 8 8 8 8 9 12 13 13 13 11 12 13 16 18 20 20 20 18 16 15 16 16 16 16 15 13 11 9 8 6 7 10 14 16 16 16 16 16 16 17 20 24 26 24 21 20 20 20 20 21 21 20 18 15 13 12 11 11 11 11 9 nan
nan 11 12 12 12 12 13 13 13 13 12 11 10 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 7 8 9 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 8 7 6 6 7 8 8 9 9 9 10 10 11 10 10 11 12 13 14 15 15 14 13 11 11 11 11 11 11 10 9 9 10 13 15 17 20 22 24 24 23 22 22 22 24 25 24 23 18 15 14 13 13 14 14 14 13 12 11 11 11 11 11 11 10 7 nan
nan 11 11 11 12 12 13 13 12 11 10 8 8 9 9 10 10 10 10 10 10 11 11 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 9 9 9 8 8 8 8 7 7 8 8 8 9 9 9 8 7 8 8 8 8 7 8 10 11 12 11 10 10 10 10 10 11 11 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 9 9 8 7 6 5 4 4 6 8 9 9 9 10 10 10 10 10 11 11 12 12 12 12 10 8 8 8 9 10 10 10 10 11 13 15 17 18 19 20 21 21 20 18 17 17 17 18 17 15 13 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 10 8 nan
nan 10 10 11 12 12 13 13 12 10 9 8 9 9 9 9 9 9 10 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 8 9 9 9 9 9 10 10 10 9 8 9 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 11 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 6 3 1 0 0 2 5 7 8 9 9 9 10 10 10 10 10 11 11 11 11 9 5 2 4 6 10 11 12 12 12 13 14 14 14 13 13 14 14 13 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 nan
nan 10 10 11 12 13 13 12 12 11 11 11 10 10 10 9 9 10 10 11 12 12 11 11 10 10 10 10 10 11 11 11 10 10 9 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 9 9 9 9 9 9 10 11 11 11 9 9 9 9 10 10 10 9 9 10 11 12 12 12 12 11 10 10 10 11 13 14 13 12 11 12 13 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 8 5 -0 -3 -3 -2 0 3 5 7 8 8 8 8 8 9 8 7 7 8 9 10 8 4 -2 -2 3 8 14 15 14 14 14 13 12 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 nan
nan 12 12 12 13 13 13 12 12 13 13 12 12 11 10 10 9 9 9 10 10 11 11 10 10 10 11 11 11 11 10 10 8 7 7 6 6 7 8 9 10 11 11 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 10 10 11 10 9 9 8 9 9 9 9 9 10 11 12 14 15 16 15 14 13 12 11 10 11 12 13 13 13 13 14 15 15 14 12 11 10 10 10 10 9 9 9 9 8 8 7 7 8 8 8 8 7 4 -0 -4 -4 -1 2 5 6 7 8 8 7 8 8 8 6 4 3 3 5 7 7 5 -0 -3 0 7 14 20 20 17 15 13 12 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 nan
nan 13 13 13 13 12 12 12 12 13 13 13 12 10 9 8 7 7 7 7 9 10 10 11 11 11 11 10 10 9 8 6 5 5 5 6 8 9 10 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 9 9 10 10 9 8 9 9 9 9 8 9 10 10 11 12 13 15 17 18 18 16 14 11 9 8 8 9 10 12 12 13 14 14 13 11 10 10 10 10 10 10 10 9 8 6 4 4 5 6 6 5 3 0 -2 -3 0 4 7 8 8 9 8 9 9 9 9 9 7 5 4 5 7 8 8 5 1 2 8 14 21 24 23 19 16 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 13 13 13 12 12 11 11 11 11 11 10 9 7 6 5 5 5 7 8 10 10 11 11 11 10 10 9 7 6 5 4 4 6 7 9 11 12 13 12 12 11 10 10 9 9 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 10 9 9 10 9 8 7 8 9 12 14 16 17 16 13 10 8 6 6 7 8 9 10 11 11 11 10 10 10 10 11 11 11 12 11 9 4 1 1 2 4 3 2 1 1 1 3 5 7 8 9 9 9 10 10 11 11 11 11 10 10 10 11 11 11 10 8 8 12 17 22 26 26 23 19 14 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 11 11 11 11 11 nan
nan 13 12 12 12 12 11 11 10 9 8 7 5 4 4 4 5 7 9 11 12 11 11 10 9 9 8 7 6 5 5 6 8 10 11 12 13 13 13 12 12 11 10 9 9 8 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 8 7 5 4 4 6 8 11 12 12 11 10 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 12 14 14 11 6 2 1 2 4 5 5 5 5 6 7 8 9 9 9 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 12 14 17 21 24 25 22 19 15 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 14 20 41 87 162 261 370 490 590 716 864 1002 1122 1246 1330 1353 1350 1340 1336 1349 1384 1394 1441 1501 1556 1583 1560 1481 1374 1290 1219 1162 1115 1065 1003 925 839 755 674 596 526 474 433 380 338 285 207 116 40 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 16 22 32 57 105 184 288 402 491 599 734 884 1038 1197 1318 1372 1400 1401 1380 1367 1388 1436 1494 1550 1595 1614 1590 1511 1392 1306 1228 1169 1125 1083 1026 950 863 777 694 608 538 503 468 380 284 182 88 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 17 29 40 49 58 82 143 236 328 401 476 581 729 913 1097 1271 1368 1432 1444 1410 1379 1397 1462 1525 1573 1606 1621 1607 1548 1438 1345 1260 1192 1140 1094 1042 978 906 833 752 667 590 525 422 270 141 59 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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