Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 12 13 12 12 11 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 7 7 6 6 6 5 5 5 6 6 6 7 8 8 9 9 10 10 11 12 13 14 14 14 14 15 15 15 15 15 14 13 13 13 14 15 16 16 16 15 14 13 13 12 12 12 12 12 11 11 11 12 12 13 13 12 11 10 10 10 10 10 10 10 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 nan
nan 9 10 11 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 7 7 7 7 7 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 10 11 12 13 13 13 14 14 15 15 15 15 14 14 13 13 13 12 11 11 12 13 13 13 13 14 14 14 13 12 12 11 11 11 10 10 10 10 11 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 8 8 8 9 9 10 10 9 8 7 6 7 8 8 8 8 8 8 8 8 7 7 7 7 9 11 11 10 10 10 11 11 11 11 10 11 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 10 10 nan
nan 10 10 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 9 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 9 10 11 12 13 13 13 14 14 13 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 9 9 10 11 12 12 11 10 10 10 10 10 10 10 10 10 11 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 9 11 10 8 7 7 7 8 9 9 8 8 8 8 8 7 7 8 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 10 10 11 nan
nan 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 6 6 7 8 8 8 7 7 7 7 7 8 9 10 12 13 14 14 13 13 12 11 11 10 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 8 8 9 10 10 10 10 10 9 9 9 9 10 10 10 10 11 10 10 9 9 9 8 8 8 9 9 10 10 9 9 9 9 10 10 9 9 9 8 9 9 10 9 9 9 9 9 9 10 10 8 7 7 8 8 8 7 8 9 10 10 9 8 8 8 9 9 9 9 9 8 8 8 7 8 9 10 10 10 9 10 11 12 11 10 10 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 10 10 10 10 nan
nan 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 8 9 11 12 13 14 14 12 11 10 9 9 8 7 6 6 6 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 8 8 9 9 10 10 11 11 11 10 10 9 8 8 8 8 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 10 9 9 8 9 9 10 11 11 9 8 8 8 9 9 8 8 8 9 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 10 10 10 9 9 10 12 11 11 10 9 9 10 10 10 10 9 9 9 9 8 8 8 7 7 8 9 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 6 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 10 12 13 13 12 10 9 8 8 8 7 6 6 6 7 7 8 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 8 8 9 10 9 8 8 9 10 11 12 11 10 8 8 8 10 10 9 8 7 8 9 9 10 10 9 9 9 10 10 10 9 9 8 8 9 9 10 10 10 10 10 11 11 10 9 9 9 9 10 10 10 9 9 9 8 8 7 7 7 8 8 10 10 11 11 10 nan
nan 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 7 7 6 6 6 5 5 5 5 5 6 6 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 13 13 12 10 8 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 9 10 9 9 8 8 9 9 10 10 10 9 8 8 8 9 9 9 9 9 10 12 12 11 10 8 8 8 8 9 10 9 8 7 9 10 11 10 10 9 9 9 9 10 10 10 10 10 9 9 8 9 9 10 10 10 9 10 10 10 9 9 10 10 10 9 9 9 8 7 7 7 8 9 9 10 11 11 11 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 5 5 5 6 6 6 7 7 8 8 8 8 9 9 8 8 8 8 8 7 7 8 8 8 8 9 10 11 12 12 12 10 9 8 7 7 8 8 9 9 9 9 9 9 9 9 8 9 9 9 10 9 9 9 8 8 8 8 8 8 9 10 10 11 11 10 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 9 9 10 10 9 9 8 9 9 10 10 10 8 7 7 8 9 9 9 9 9 10 11 12 11 10 9 7 7 7 8 9 10 9 9 9 10 11 10 9 9 8 7 8 9 10 11 12 11 10 8 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 8 9 10 10 10 11 11 10 8 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 11 12 12 10 9 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 9 10 10 10 9 9 9 8 8 8 8 9 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 9 8 8 8 9 9 9 9 8 7 7 8 10 10 9 9 9 10 11 11 11 11 9 8 8 7 8 9 9 9 10 10 10 10 10 9 8 7 7 7 8 9 11 12 11 10 8 8 8 9 9 9 8 8 8 8 9 9 10 11 11 11 10 9 8 8 8 8 8 9 10 10 11 11 10 9 7 nan
nan 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 10 11 11 12 12 11 9 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 9 8 8 8 8 9 10 10 9 9 8 9 10 10 11 10 10 9 9 9 8 8 8 9 9 10 10 9 9 8 8 8 7 7 8 9 10 10 10 9 9 9 10 10 10 9 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 7 nan
nan 6 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 6 6 6 6 7 8 9 10 11 12 12 12 11 10 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 9 9 9 9 9 9 9 10 10 9 8 8 9 9 10 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 11 10 9 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 10 10 11 11 10 9 8 7 7 7 nan
nan 7 7 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 10 11 12 12 12 11 10 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 10 11 11 10 9 9 8 9 9 9 10 11 11 10 9 10 10 9 9 8 8 8 8 9 9 10 9 8 8 8 9 9 10 11 12 12 12 10 8 7 7 7 8 nan
nan 7 7 6 6 6 6 7 6 6 6 6 7 7 7 8 8 8 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 11 12 12 12 11 10 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 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 9 9 9 10 11 11 11 11 10 9 8 8 9 11 12 12 10 9 9 9 9 9 10 10 11 11 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 7 8 9 9 10 11 12 12 11 9 8 7 7 8 9 nan
nan 7 7 7 7 7 8 7 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 11 11 10 10 9 10 11 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 9 8 8 8 9 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 9 9 9 8 7 8 8 7 8 9 9 9 10 11 11 10 9 9 9 9 9 8 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 11 12 13 13 12 11 11 11 11 11 11 11 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 11 12 13 12 11 10 11 10 10 9 8 8 8 8 9 9 9 8 8 7 8 9 10 11 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 9 9 8 7 6 7 8 8 8 9 10 9 9 10 10 10 9 9 10 10 10 9 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 12 13 14 15 15 14 13 13 12 12 12 12 12 11 10 8 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 11 13 15 17 17 16 15 14 13 12 11 10 8 8 8 8 9 9 8 7 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 7 6 6 6 7 9 9 9 10 10 9 9 9 9 9 9 10 10 11 11 11 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 12 13 14 15 16 16 15 15 14 13 13 13 13 12 12 11 10 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 9 9 9 10 10 11 11 11 10 10 10 10 11 13 15 18 20 19 18 16 15 14 13 11 10 9 8 9 10 9 8 7 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 9 9 8 8 8 9 9 8 7 6 6 6 7 8 9 10 10 10 9 8 8 8 9 9 10 10 11 11 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 9 9 9 8 9 9 9 10 11 11 12 12 13 14 15 16 15 15 14 14 13 13 13 13 13 13 13 12 11 10 8 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 9 9 9 10 10 10 9 9 10 11 10 9 8 9 9 9 8 8 7 8 8 8 8 8 8 9 9 10 10 10 9 8 8 9 9 9 9 9 9 9 10 9 8 7 8 9 10 10 11 13 15 17 18 18 16 15 14 13 12 12 11 10 9 9 9 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 9 9 8 8 7 7 9 9 7 7 7 7 8 9 9 10 10 10 9 8 7 8 9 9 10 11 12 11 11 11 11 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 9 9 10 10 11 12 12 13 13 14 14 14 13 13 12 12 12 12 13 13 14 14 13 12 11 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 9 7 6 7 9 11 11 11 10 10 10 10 9 8 7 7 8 9 9 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 6 4 3 5 8 9 9 10 10 11 13 14 14 14 13 11 10 10 11 11 11 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 8 9 8 7 6 7 8 9 9 10 10 10 9 8 7 7 8 9 10 11 12 12 11 10 10 10 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 13 14 14 13 12 11 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 7 5 5 5 7 9 11 12 12 11 11 11 10 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 7 5 3 2 4 6 8 9 10 10 10 10 11 12 11 9 7 6 7 8 10 11 11 10 10 10 8 6 6 6 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 7 7 8 8 9 9 7 6 6 7 9 10 10 10 10 10 8 7 7 7 9 10 10 11 12 11 10 10 10 10 10 nan
nan 9 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 12 13 14 14 13 13 12 10 9 9 8 8 7 7 7 7 7 6 7 8 8 9 9 10 9 9 8 7 5 4 5 5 6 7 8 10 12 13 13 13 11 9 7 7 8 9 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 8 7 5 5 5 6 7 8 9 10 9 9 10 10 10 7 4 3 3 6 9 11 12 12 12 10 7 4 4 6 8 10 10 9 8 7 8 9 9 9 8 8 8 8 9 10 10 9 8 7 8 8 8 8 8 8 7 6 5 6 9 11 11 10 9 8 8 7 7 7 8 9 10 10 10 11 10 10 10 9 10 10 nan
nan 9 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 13 14 14 13 13 11 10 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 7 5 4 4 5 7 7 6 6 7 10 12 14 15 13 11 8 6 7 8 8 8 8 8 8 9 10 10 11 10 10 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 9 10 9 9 9 9 8 6 3 2 2 4 8 10 11 12 11 9 6 5 6 9 10 11 10 10 8 7 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 7 6 6 9 12 12 11 10 8 7 7 7 7 8 9 9 9 9 10 10 10 9 9 9 9 9 nan
nan 9 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 12 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 4 3 4 6 8 8 8 7 7 7 10 13 16 15 12 8 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 11 12 12 12 11 10 9 9 9 10 10 10 9 8 7 6 3 2 2 2 4 6 8 9 9 8 7 7 8 11 12 12 11 10 9 8 7 8 8 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 9 11 12 11 10 9 8 7 7 7 8 9 9 8 8 9 10 10 9 9 8 9 9 9 nan
nan 8 8 8 8 7 7 7 7 8 8 8 9 9 10 10 10 10 11 11 12 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 11 12 12 13 14 14 13 12 11 10 9 9 8 8 8 8 7 8 7 7 6 6 6 6 7 6 4 3 4 6 8 9 9 9 8 7 8 11 14 15 14 11 8 7 7 8 9 10 10 9 9 9 9 9 10 10 10 9 9 9 10 11 12 12 12 12 11 10 9 9 9 10 11 10 9 9 7 5 3 2 2 2 4 5 6 7 7 8 8 9 10 12 13 13 12 11 10 8 8 8 8 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 10 10 9 9 8 9 10 10 9 8 8 8 8 7 8 8 9 8 8 8 9 10 10 10 9 8 8 9 8 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 10 11 11 12 13 13 13 13 12 11 10 9 9 8 8 8 7 7 7 7 6 5 5 6 6 5 4 4 4 6 7 8 9 9 9 9 8 8 11 13 15 13 10 8 8 9 10 10 10 10 9 9 10 10 10 10 10 10 9 10 10 11 11 11 11 11 10 9 8 7 7 9 10 10 10 10 8 6 5 4 4 3 4 5 5 6 7 9 9 10 11 12 13 13 14 14 13 11 9 7 8 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 10 9 9 9 9 9 8 7 7 7 8 8 8 8 9 8 8 8 9 10 11 10 9 8 8 8 8 8 nan
nan 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 8 8 9 9 10 11 12 12 13 13 13 13 12 11 10 9 9 8 8 7 7 7 6 5 5 5 5 5 4 3 3 4 5 7 8 9 9 10 10 9 8 9 12 15 14 12 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 7 5 4 4 6 8 9 10 10 9 8 8 7 6 6 6 6 6 7 9 10 11 12 13 13 13 13 14 14 14 13 11 9 8 8 8 9 9 8 7 7 7 7 7 8 8 8 8 9 10 10 9 9 10 10 9 8 7 7 7 7 7 7 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 10 11 12 12 12 12 12 13 12 12 10 10 9 8 8 8 7 7 6 5 4 4 5 5 4 3 3 4 6 7 8 8 9 9 10 10 10 11 13 15 14 12 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 8 8 9 9 10 9 7 4 3 3 4 6 8 9 9 9 9 9 9 9 9 8 8 9 10 11 12 13 14 14 14 13 13 13 14 14 14 14 12 11 10 9 8 8 9 9 9 8 8 9 9 9 9 10 11 11 10 10 11 11 10 9 8 7 7 6 6 7 7 8 8 9 9 9 9 8 8 7 8 8 8 8 8 8 nan
nan 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 11 11 10 9 9 8 8 7 7 6 5 5 5 5 6 5 5 5 6 7 8 8 8 9 9 9 10 11 13 15 15 13 10 8 8 9 9 9 9 9 10 11 11 12 12 12 11 11 11 10 9 9 8 9 9 9 8 6 4 4 4 5 6 7 8 8 9 9 9 9 10 10 10 10 11 12 12 13 13 13 13 12 11 12 13 15 15 16 17 17 16 14 11 9 8 9 10 11 11 10 10 10 10 11 12 11 10 10 10 12 12 10 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 9 8 7 6 nan
nan 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 11 11 10 10 10 9 10 10 11 12 12 11 11 10 9 9 8 8 7 7 6 6 6 6 6 6 7 7 8 9 9 9 8 8 8 9 9 10 11 13 16 16 13 10 7 7 8 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 8 7 7 6 6 6 6 6 6 7 7 8 7 7 9 11 11 11 10 10 11 12 12 12 11 10 9 10 11 14 15 16 17 18 19 19 17 14 12 11 11 12 12 11 10 10 10 11 12 12 10 9 8 9 10 10 9 9 9 9 9 9 8 8 8 8 7 7 6 7 7 7 7 8 8 9 9 8 7 7 nan
nan 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 11 13 17 17 14 10 7 7 8 9 9 10 10 10 9 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 9 9 9 8 7 6 6 7 7 6 4 5 8 11 11 10 9 10 11 11 12 11 10 9 9 9 10 12 13 14 15 16 17 16 15 14 13 13 13 14 13 12 11 10 11 12 12 11 10 9 8 8 8 8 8 9 10 11 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 nan
nan 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 9 9 9 8 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 10 10 11 11 12 12 11 11 10 9 9 8 8 7 8 7 7 7 7 8 9 8 8 8 8 8 8 8 8 8 9 9 11 14 17 16 13 9 7 7 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 11 11 11 10 9 9 9 10 10 9 7 7 6 6 6 4 3 4 7 9 10 9 8 9 10 11 11 11 11 10 10 10 10 10 10 11 12 13 12 11 10 10 10 11 12 13 13 11 11 11 11 12 12 12 11 10 9 9 9 9 9 10 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 13 13 12 11 11 12 13 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 10 10 10 10 11 11 11 12 13 13 13 12 11 10 9 8 8 8 8 7 7 6 6 6 7 7 6 6 6 7 7 7 8 8 8 9 12 16 18 16 12 8 7 8 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 11 11 11 9 9 9 9 10 10 9 8 7 6 5 5 4 4 4 6 9 10 9 8 7 8 9 11 11 11 11 12 12 11 11 10 10 11 10 9 7 6 6 8 9 10 11 11 10 10 10 11 12 11 11 10 9 9 8 8 8 9 9 9 10 10 10 11 11 12 14 15 15 14 14 14 14 14 14 13 12 12 12 13 15 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 9 9 8 8 7 8 8 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 13 11 10 9 8 8 8 7 6 5 5 4 4 5 5 5 5 6 6 7 7 8 9 11 14 17 18 15 11 8 8 9 10 9 9 8 9 9 10 10 10 11 11 11 10 9 10 10 11 11 11 10 9 9 10 10 10 9 9 7 6 6 6 5 5 5 7 9 9 9 7 6 6 8 10 12 13 14 14 13 12 12 11 11 10 9 7 5 4 5 7 8 8 8 7 7 7 8 9 9 8 7 6 6 6 5 5 5 5 6 7 8 9 11 12 13 13 13 14 14 14 14 14 14 14 13 12 11 11 11 12 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 10 10 11 11 11 12 11 11 11 10 10 11 11 12 13 13 14 14 14 14 13 12 10 10 9 8 7 6 6 6 6 6 6 6 5 5 5 5 6 6 7 8 9 12 15 18 17 13 9 8 9 10 9 9 8 9 9 10 10 10 10 11 11 11 10 9 9 10 11 11 10 10 10 10 10 10 10 10 9 8 7 7 7 7 6 6 7 9 10 9 7 6 6 7 10 12 14 15 15 14 13 13 12 12 10 9 7 6 5 6 7 7 6 4 4 3 4 4 4 5 5 4 4 3 3 3 2 2 3 3 4 5 7 9 11 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 11 11 nan
nan 10 10 11 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 9 10 11 11 11 11 11 10 9 9 9 9 9 10 11 12 13 14 14 14 12 11 11 10 10 9 8 7 6 7 7 8 8 8 8 7 6 6 6 6 6 7 8 9 12 16 17 14 10 8 9 10 10 9 8 8 9 9 10 10 10 10 11 11 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 9 10 9 8 7 7 8 10 12 13 14 14 13 13 13 13 12 11 11 10 10 9 8 8 7 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 6 8 10 11 11 11 10 10 10 10 10 10 9 8 9 8 9 9 10 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 9 10 11 11 11 10 9 8 8 8 8 8 9 10 11 13 14 14 13 11 10 10 10 9 9 8 7 7 7 8 9 9 10 9 9 8 7 7 7 7 7 8 10 12 15 14 11 9 9 10 11 11 9 7 7 8 9 10 10 10 10 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 9 9 8 9 11 11 11 11 12 12 12 13 13 12 11 11 11 12 11 11 10 9 9 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 8 8 7 6 5 5 6 7 9 10 10 9 9 10 10 10 10 8 8 8 8 8 9 9 nan
nan 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 10 10 9 8 7 7 7 7 7 8 8 10 12 13 13 12 11 10 10 10 9 9 8 8 7 7 8 9 9 10 9 8 7 7 7 7 7 7 8 10 12 13 12 10 9 10 11 11 10 8 7 7 8 9 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 10 9 9 9 10 10 10 10 10 9 9 9 10 11 13 12 11 8 8 9 10 11 12 12 12 13 13 13 14 14 14 13 13 12 12 12 12 12 12 12 12 13 14 13 12 10 8 6 6 7 8 9 9 9 9 10 10 9 9 8 8 8 8 9 9 nan
nan 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 6 7 7 8 8 9 10 11 12 12 11 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 9 11 11 10 9 9 10 10 10 9 8 7 8 9 10 11 11 11 11 11 11 11 10 10 10 9 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 10 12 11 9 8 7 7 9 10 10 9 8 8 8 8 9 10 11 11 9 6 6 7 9 10 11 13 14 15 16 17 18 19 19 19 18 18 17 16 16 15 15 16 17 18 18 18 16 14 11 8 6 6 6 7 7 8 9 10 10 9 9 8 8 8 8 9 9 nan
nan 10 10 10 10 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 8 6 6 6 6 7 8 8 9 10 10 11 11 11 11 10 10 10 11 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 10 10 9 9 9 9 9 9 9 8 8 9 9 10 11 12 12 12 12 12 12 11 11 10 10 11 12 11 9 8 7 7 8 8 8 8 9 8 8 8 9 11 12 12 10 7 6 6 7 8 8 8 8 8 8 8 8 9 10 9 8 7 7 7 8 9 10 12 13 14 15 16 18 19 19 19 19 20 20 20 20 19 19 19 20 20 20 20 18 16 12 9 7 6 6 6 7 8 9 9 9 9 9 8 8 8 9 9 9 nan
nan 10 10 10 10 10 10 11 11 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 7 8 9 9 10 9 9 8 8 8 8 8 9 9 10 10 11 11 12 12 11 11 11 12 12 12 11 11 11 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 12 11 11 12 13 14 13 11 9 7 6 5 5 6 6 7 7 7 6 8 10 12 12 11 9 7 6 6 6 7 8 8 8 8 8 9 10 11 10 8 7 7 8 8 9 10 10 10 10 11 12 13 14 15 15 16 17 18 19 20 20 20 19 18 19 20 20 19 18 15 12 9 8 8 7 7 8 9 9 9 9 9 8 9 9 9 10 10 nan
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nan 13 14 14 13 12 10 9 9 9 9 9 8 8 9 11 11 11 10 9 9 10 10 10 10 10 9 9 10 10 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 11 11 12 12 13 14 13 13 13 14 15 16 18 19 19 20 20 20 19 17 16 14 12 10 9 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 11 11 12 12 11 11 11 11 11 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 11 12 14 15 15 15 14 13 12 12 12 13 14 14 nan
nan 14 15 14 14 12 10 9 9 9 9 8 7 7 9 10 12 12 12 11 11 12 12 11 11 10 9 9 10 10 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 13 12 13 12 12 12 11 11 11 11 11 11 10 10 11 12 12 12 13 13 13 14 15 15 15 15 14 13 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 10 11 11 10 10 10 10 10 10 10 10 10 10 12 13 14 15 15 14 13 12 12 12 13 13 13 nan
nan 14 15 14 13 11 9 8 8 7 7 7 6 7 9 10 12 13 14 13 13 13 13 12 12 11 11 10 10 11 12 12 13 13 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 9 9 8 8 9 10 11 13 14 14 14 13 13 13 12 11 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 10 10 11 11 12 14 15 15 14 13 12 11 12 12 13 13 nan
nan 13 14 13 12 9 7 6 6 6 6 7 7 8 9 11 13 14 14 15 14 14 13 13 13 12 11 11 11 11 12 12 13 14 14 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 12 12 11 11 11 10 10 9 8 7 7 8 9 10 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 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 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 14 15 15 14 13 12 11 11 12 12 13 nan
nan 12 13 13 12 9 6 5 5 7 8 8 8 9 10 12 13 14 14 14 14 13 13 13 12 12 11 11 11 11 12 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 13 14 15 15 14 13 12 11 12 12 12 13 nan
nan 11 12 13 12 9 7 6 7 8 9 9 9 10 12 13 14 14 13 13 12 12 12 12 11 11 10 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 13 13 12 10 8 7 7 8 8 8 8 8 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 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 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 13 14 15 16 15 13 12 11 11 12 12 12 nan
nan 10 12 12 11 10 9 9 9 9 9 9 10 11 13 14 14 13 12 11 10 10 10 10 10 10 9 9 10 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 11 11 12 13 14 13 12 9 7 6 6 7 7 7 8 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 10 11 11 11 12 13 14 15 15 14 13 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 11 11 10 10 10 11 12 13 13 13 12 11 10 10 10 10 10 10 9 9 9 10 10 11 12 12 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 10 10 10 11 11 13 13 13 12 11 10 9 7 6 6 6 6 7 7 8 9 10 10 10 9 10 10 10 11 11 11 11 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 13 13 12 12 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 13 14 15 15 14 12 11 10 10 10 10 10 nan
nan 10 10 9 9 10 10 11 11 11 10 11 11 13 13 13 12 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 11 12 13 13 13 13 12 12 11 11 11 11 10 10 10 10 11 12 13 13 12 10 8 7 7 7 7 7 7 7 7 8 9 9 10 9 9 9 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 13 13 14 14 14 14 14 13 13 12 11 11 12 12 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 14 15 15 14 12 11 10 10 9 9 10 nan
nan 11 10 10 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 10 10 10 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 13 13 13 11 8 7 6 7 8 8 8 8 8 9 9 10 10 9 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 13 14 14 15 15 15 14 13 13 12 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 13 15 15 15 14 12 11 11 10 10 9 9 nan
nan 12 12 11 11 10 10 9 9 9 10 11 12 13 13 12 12 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 11 12 13 13 13 12 12 12 12 11 11 10 10 10 10 10 11 12 14 14 13 10 8 7 7 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 15 15 15 14 13 12 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 14 15 16 16 14 13 12 11 11 10 10 9 nan
nan 14 13 13 12 12 11 11 11 11 12 13 13 14 13 13 12 11 11 11 11 11 12 12 12 13 12 11 11 10 10 10 10 10 9 9 8 9 9 11 12 13 13 12 12 12 12 13 13 12 11 10 10 10 10 10 11 13 14 14 12 10 7 7 7 8 9 10 10 10 10 10 10 10 11 11 11 12 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 13 14 15 15 14 13 13 12 12 11 11 10 nan
nan 14 13 13 13 13 12 13 13 13 14 14 14 14 14 13 13 12 12 12 12 12 13 13 13 13 12 12 11 10 10 10 11 10 10 9 9 9 10 11 12 13 13 12 12 12 12 13 13 13 12 11 11 10 10 9 10 11 12 12 11 9 7 7 8 8 9 10 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 13 12 11 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 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 14 15 15 14 14 13 13 13 13 12 11 nan
nan 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 13 14 14 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 13 13 13 12 12 12 12 12 13 13 12 12 11 10 9 9 9 9 9 9 8 7 7 8 9 11 12 12 12 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 13 12 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 14 14 13 13 13 13 12 nan
nan 16 15 15 14 14 13 13 13 12 12 12 12 12 12 13 12 12 12 12 13 13 12 11 10 9 10 10 11 11 12 11 11 11 11 10 10 10 10 11 12 13 13 13 12 12 11 11 12 12 12 13 13 13 12 11 10 9 9 9 8 8 8 9 10 11 12 13 13 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 13 13 14 14 15 15 15 14 13 12 11 10 10 10 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 12 nan
nan 15 16 16 16 15 14 13 13 12 11 11 11 11 11 12 12 12 11 11 11 10 10 9 8 9 9 10 10 11 11 11 11 10 10 10 9 9 10 10 11 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 12 11 11 10 10 10 10 11 12 13 13 13 13 13 12 13 13 13 12 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 14 14 15 15 14 13 13 12 11 11 10 10 10 11 11 10 11 11 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 12 12 12 13 nan
nan 13 14 15 16 16 15 15 14 13 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 15 15 14 14 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 13 nan
nan 12 13 13 14 15 15 15 15 15 14 13 12 11 11 11 11 10 9 9 9 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 11 11 12 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 15 15 15 14 13 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 11 11 11 10 10 10 11 11 11 11 12 12 12 11 11 11 11 10 10 11 11 11 11 11 12 12 13 13 12 12 12 12 13 13 13 13 13 12 12 12 nan
nan 12 12 12 12 13 14 14 15 15 15 14 13 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 10 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 14 15 15 15 14 13 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 13 13 12 12 11 10 9 9 10 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 nan
nan 12 11 11 11 12 13 13 14 14 14 13 13 12 12 12 12 12 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 10 10 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 13 13 14 14 15 15 14 14 12 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 14 13 13 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 11 10 10 10 10 11 11 12 12 12 12 nan
nan 12 11 10 10 11 11 12 12 13 13 12 12 11 11 12 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 13 13 14 15 15 15 14 13 11 10 10 9 9 9 9 10 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 13 13 13 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 11 10 9 9 9 10 11 12 13 13 13 13 nan
nan 12 11 10 10 10 10 11 11 12 12 11 11 11 11 11 12 12 12 11 11 11 10 11 11 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 12 12 13 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 12 12 12 12 13 12 12 12 12 11 11 11 10 10 9 9 9 10 10 10 11 11 11 12 12 12 12 12 13 13 14 14 15 15 15 14 13 11 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 7 6 7 9 11 12 13 13 12 12 12 11 11 12 12 13 14 13 13 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 9 9 10 11 12 13 14 14 14 14 nan
nan 12 11 10 9 9 9 10 10 11 11 11 11 10 10 10 11 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 14 14 15 15 14 14 12 12 11 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 10 11 11 10 10 9 9 10 10 10 10 10 11 11 11 10 9 7 5 4 4 7 10 13 15 16 15 13 12 11 10 10 11 13 14 15 14 13 12 11 10 10 10 10 10 9 9 9 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 11 11 12 13 13 14 14 nan
nan 13 11 11 10 10 10 10 10 11 11 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 13 13 13 14 14 15 14 14 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 10 10 9 9 8 8 8 9 9 9 9 10 9 9 8 7 5 4 5 7 10 14 16 17 17 16 13 11 8 8 10 12 14 15 15 14 13 12 11 11 11 10 10 9 9 9 10 11 12 11 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 11 12 12 12 12 nan
nan 13 12 11 11 11 10 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 14 14 14 14 14 13 13 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 9 9 8 9 9 8 8 9 9 9 8 7 5 5 5 8 10 13 15 16 17 16 13 10 7 7 9 12 15 15 15 14 13 12 12 12 11 11 10 10 9 10 11 12 13 12 12 11 12 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 14 14 14 14 14 13 12 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 8 6 6 5 7 9 12 14 15 15 16 15 12 9 8 10 14 17 17 16 14 13 13 13 12 12 11 11 10 10 10 11 12 13 13 13 12 12 12 13 14 14 13 11 10 10 11 12 12 12 11 10 10 9 9 10 10 nan
nan 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 10 11 11 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 12 12 11 12 12 13 13 14 14 14 14 13 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 8 6 5 5 7 10 11 13 14 16 17 16 14 12 12 14 17 18 16 14 13 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 13 13 14 15 15 14 13 11 10 10 12 13 14 13 12 11 10 9 9 10 11 nan
nan 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 14 14 15 15 15 13 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 7 6 5 5 6 8 10 12 15 17 18 17 16 14 14 16 16 16 14 13 13 13 13 12 11 11 10 10 10 11 12 13 13 13 12 12 12 13 14 15 15 14 13 11 10 11 12 14 15 14 13 11 10 10 10 11 11 nan
nan 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 15 16 15 13 12 11 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 11 12 13 13 13 13 13 12 11 9 8 8 8 8 9 8 8 6 5 6 7 8 11 14 16 17 16 14 14 15 16 17 17 17 16 16 15 13 12 11 11 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 12 11 10 11 12 14 15 15 14 12 11 11 11 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 30 33 17 7 8 13 22 33 48 67 82 89 91 90 89 84 78 69 54 50
1 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 5 9 14 19 31 65 95 108 110 110 109 106 96 80 61 45 42
2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 6 6 11 45 106 128 126 124 125 131 123 99 68 48 40 39
2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 2 2 1 0 3 19 43 75 109 119 118 122 114 90 55 47 43 39
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 3 3 3 1 0 3 5 15 44 88 93 93 96 97 89 63 49 40 34
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 6 11 13 12 11 12 12 12 10 9 7 4 5 9 22 38 44 35 28 24 22 18 13 13
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 2 3 5 10 26 25 22 22 21 20 18 18 17 14 11 13 13 18 24 28 18 13 11 11 10 9 22
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