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 8 8 8 7 7 7 9 9 9 9 10 11 11 11 10 8 7 7 8 8 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 8 9 10 10 10 9 9 9 10 11 12 12 12 12 12 11 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 nan
nan 8 8 8 7 7 8 9 10 10 10 11 12 13 13 11 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 9 10 10 9 10 10 12 12 12 12 12 11 11 10 9 9 8 8 7 7 8 8 8 8 8 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 8 8 9 9 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 nan
nan 9 9 8 7 8 9 10 10 10 10 11 11 12 12 11 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 8 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 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 11 12 12 12 12 12 11 11 10 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 nan
nan 10 10 9 8 8 9 10 10 10 10 10 10 10 9 9 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 9 10 11 12 11 10 10 11 11 12 12 12 12 12 11 10 9 8 8 8 8 9 9 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 7 7 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 7 7 7 7 7 7 7 7 nan
nan 10 10 9 8 8 9 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 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 8 8 7 7 7 7 7 6 6 6 7 8 9 11 13 14 14 13 12 12 12 12 13 13 12 12 11 10 9 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 9 8 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 8 9 10 11 14 16 17 17 15 14 13 13 14 14 13 12 11 10 9 9 8 8 9 9 10 10 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 7 7 7 8 8 8 7 7 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 7 7 7 8 8 9 9 9 10 9 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 10 10 9 8 8 7 7 8 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 10 12 14 17 18 18 17 15 15 15 14 14 13 12 11 10 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 8 8 8 8 9 9 10 10 10 10 8 7 6 6 6 6 6 6 6 6 5 5 6 7 8 8 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 8 8 9 9 9 9 10 11 11 10 10 9 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 12 14 17 18 19 18 17 16 15 14 13 13 12 11 10 10 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 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 9 9 10 10 10 10 10 9 8 7 6 6 6 6 6 6 7 6 5 6 7 9 9 9 9 9 8 8 8 9 9 10 10 9 8 8 9 9 8 8 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 9 10 10 10 10 10 10 9 8 8 9 10 10 10 9 9 10 10 9 8 8 9 9 8 8 9 10 10 11 13 15 17 18 18 18 16 15 14 14 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 8 8 7 6 6 6 6 7 7 7 7 nan
nan 7 8 9 10 11 10 10 10 10 9 9 8 8 7 7 6 6 6 6 7 8 7 7 7 8 9 9 9 9 8 7 7 7 8 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 10 10 9 9 8 8 8 8 9 9 8 8 7 8 9 9 10 9 9 10 10 9 8 8 9 9 8 8 9 9 9 10 10 11 12 14 16 16 16 15 15 14 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 8 8 9 9 8 8 7 6 6 5 5 5 6 7 7 7 7 7 nan
nan 8 9 10 11 11 10 9 9 8 8 8 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 8 8 8 9 9 9 9 9 9 10 10 12 14 15 15 15 14 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 9 9 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 8 7 7 8 8 8 7 6 5 4 4 4 5 6 7 7 8 8 8 8 8 nan
nan 10 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 8 8 8 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 9 9 9 9 9 9 9 9 10 12 13 14 14 14 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 7 7 6 5 5 5 6 7 9 10 10 10 9 8 8 8 nan
nan 11 10 9 8 8 7 7 7 7 6 6 7 7 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 8 8 8 9 9 7 7 8 8 8 9 8 8 8 9 9 9 10 11 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 8 9 11 12 12 11 9 8 7 7 7 nan
nan 11 11 9 8 7 7 7 7 7 7 6 7 8 8 7 7 7 9 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 8 9 9 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 11 11 12 12 12 11 10 10 11 12 12 12 13 14 14 13 12 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 13 13 13 12 12 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 7 7 7 8 9 11 11 11 10 8 7 6 5 5 5 nan
nan 11 11 10 9 8 8 8 8 7 7 7 7 7 7 7 8 9 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 7 8 8 8 8 9 9 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 8 9 9 9 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 10 11 12 13 14 15 15 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 12 13 13 14 14 13 13 12 12 12 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 9 9 9 8 7 6 4 3 3 3 4 5 nan
nan 10 11 10 9 9 8 8 8 8 8 8 8 7 7 7 9 10 11 11 10 9 9 9 9 9 9 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 8 8 9 9 9 9 9 9 10 10 9 8 8 8 8 7 8 8 8 7 8 8 8 8 7 7 8 10 11 11 12 13 14 15 15 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 13 13 13 13 12 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 8 6 5 3 3 3 3 5 6 7 nan
nan 10 10 10 9 9 8 9 9 9 8 8 8 7 7 8 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 10 10 9 8 8 8 8 8 8 8 9 9 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 7 7 7 8 8 7 7 7 8 8 7 7 7 9 11 11 12 12 12 13 13 13 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 7 6 4 4 4 5 6 8 9 9 nan
nan 10 10 10 9 9 9 9 9 9 9 8 8 7 7 8 10 11 11 10 10 10 9 9 9 8 8 7 8 8 8 7 8 9 9 9 8 8 8 8 8 8 9 9 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 9 9 9 9 8 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 11 12 12 12 12 13 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 9 8 8 7 6 6 6 6 7 9 10 10 11 nan
nan 11 11 11 10 9 9 8 8 8 8 8 7 7 7 8 10 11 11 10 10 10 9 9 8 8 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 10 11 11 10 10 10 10 9 9 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 9 9 9 10 11 12 12 13 14 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 9 9 10 10 11 12 13 13 14 13 13 13 13 13 13 12 12 11 11 11 10 11 11 11 11 10 10 10 9 9 9 10 10 9 8 8 7 7 7 8 9 10 10 10 11 nan
nan 12 12 12 11 9 8 8 7 7 7 7 7 7 8 9 10 11 10 10 10 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 6 7 7 7 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 10 10 12 13 15 16 15 14 13 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 10 10 11 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 10 11 11 11 10 10 11 11 11 11 12 12 11 10 9 8 8 8 8 9 9 10 10 10 nan
nan 11 12 12 11 10 9 8 8 7 6 7 7 7 8 9 11 11 10 10 10 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 9 9 9 10 10 9 8 8 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 8 7 6 6 6 7 7 6 6 6 6 6 7 7 8 8 8 8 8 10 10 8 8 8 8 9 10 13 14 15 14 13 12 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 12 13 13 14 14 14 14 13 11 9 8 8 9 9 9 9 9 8 nan
nan 10 10 11 11 10 9 9 8 7 7 6 7 7 8 9 10 10 10 10 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 7 7 7 7 7 8 9 10 10 10 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 5 5 5 6 7 6 6 6 7 7 7 8 8 9 9 9 8 9 10 9 8 7 7 8 8 9 10 11 12 12 11 10 11 11 10 9 9 8 9 9 9 9 9 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 12 13 14 15 15 15 15 15 13 11 10 10 10 10 10 9 9 8 nan
nan 9 10 10 11 10 9 9 8 7 7 7 7 7 8 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 9 8 8 8 8 9 9 10 10 10 9 8 8 7 7 7 8 9 10 11 11 10 9 8 7 7 7 8 8 9 9 9 9 9 8 8 8 9 10 11 10 8 6 6 5 5 4 6 7 7 6 7 7 8 8 9 9 9 9 9 8 8 9 9 7 7 7 8 8 8 9 9 10 10 9 9 9 11 11 10 9 9 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 13 14 14 14 13 13 12 12 12 11 12 13 14 14 15 15 15 14 13 13 13 13 12 12 11 9 8 nan
nan 9 10 10 11 10 10 9 8 7 7 7 7 7 8 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 8 8 9 10 11 11 10 9 8 7 7 7 7 8 9 10 11 10 9 8 7 7 8 8 9 9 9 9 9 8 8 8 8 9 10 11 10 7 6 5 5 5 5 5 6 7 7 7 8 8 9 9 9 9 9 9 8 8 8 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 10 9 9 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 10 11 11 12 13 13 14 14 14 13 13 12 12 12 11 11 12 12 13 14 13 14 14 15 16 17 17 15 13 11 9 nan
nan 9 9 10 11 11 10 9 8 8 7 7 7 8 8 9 10 10 10 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 8 9 10 10 11 10 9 7 7 7 7 8 9 10 11 10 9 8 7 7 8 9 9 10 10 10 9 8 7 7 8 9 10 11 10 8 5 4 4 5 6 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 10 11 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 12 13 14 14 14 14 13 13 12 12 11 11 11 12 12 12 12 13 16 19 20 21 19 15 13 11 nan
nan 9 9 10 10 11 10 10 9 8 8 8 8 8 8 9 9 10 10 9 8 8 8 7 7 8 8 7 7 8 8 8 9 8 8 9 9 9 9 8 8 9 9 10 9 8 7 7 7 7 8 9 10 10 9 8 7 7 8 9 9 10 11 11 9 8 7 7 8 9 10 11 11 8 5 4 4 4 5 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 7 8 9 9 8 8 9 9 9 9 10 11 11 12 12 12 12 12 12 11 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 12 13 14 14 14 14 13 13 12 12 12 12 12 11 11 12 14 17 19 20 19 16 14 13 nan
nan 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 10 10 9 8 8 7 7 7 7 8 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 11 11 10 8 7 7 8 10 11 11 10 9 6 4 4 4 5 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 7 7 7 8 7 7 8 9 9 9 10 11 11 12 13 13 14 13 13 12 12 12 12 12 12 12 11 10 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 14 14 14 13 13 13 12 12 12 11 10 11 12 14 15 15 15 15 16 nan
nan 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 8 6 6 8 10 12 12 11 9 6 4 4 4 5 6 7 8 8 9 9 9 8 9 8 8 8 7 7 8 8 8 8 8 7 7 8 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 10 11 13 14 16 17 18 17 15 12 11 10 10 10 11 11 12 11 11 11 10 10 9 9 8 8 8 9 9 9 10 10 10 11 11 12 12 12 12 12 12 11 12 11 11 10 11 11 12 12 13 14 15 15 14 14 13 13 13 13 12 11 10 10 10 11 11 13 14 16 nan
nan 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 9 9 8 7 6 6 7 7 7 7 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 9 10 10 11 11 10 9 7 6 7 10 12 14 13 9 6 3 3 3 4 5 7 8 9 9 9 9 9 8 8 9 9 8 7 7 8 8 8 8 7 7 7 8 8 9 8 8 7 7 7 7 6 6 6 7 7 8 8 8 9 10 11 13 15 16 17 17 15 11 7 6 7 7 8 9 10 10 11 11 12 12 12 12 11 11 11 11 12 12 12 13 13 13 13 14 14 15 15 15 14 13 13 14 13 12 12 12 12 12 12 12 14 15 16 16 15 14 13 13 12 12 12 12 11 11 11 10 11 13 14 nan
nan 9 9 8 8 8 8 9 9 9 9 9 8 7 7 7 8 9 9 9 9 8 7 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 10 10 10 10 9 9 8 7 7 9 12 14 14 11 5 2 1 1 3 5 7 8 9 10 10 9 9 8 8 8 9 9 8 7 7 8 8 8 8 8 7 8 9 8 8 8 7 7 7 7 6 6 7 7 7 8 8 8 9 9 10 10 11 12 12 12 10 6 2 0 2 4 6 7 8 9 9 10 11 12 13 13 14 14 14 14 15 16 16 16 17 17 16 16 17 17 18 18 17 17 16 16 16 15 14 14 15 15 14 13 14 15 16 16 16 15 14 13 13 12 12 13 13 13 12 12 12 11 12 12 nan
nan 9 9 8 8 8 8 8 9 9 9 9 8 7 7 7 7 8 9 9 9 8 7 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 9 11 14 15 12 6 1 -1 -1 1 4 6 8 10 10 10 9 8 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 5 -1 -4 -2 1 4 7 8 9 9 9 10 11 11 12 13 14 15 16 17 18 19 19 18 18 18 18 17 17 18 19 19 19 18 18 18 17 16 17 19 19 19 17 16 16 16 16 16 15 15 15 15 15 14 13 13 13 13 13 13 13 13 12 12 nan
nan 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 9 9 9 9 8 7 7 6 6 6 7 7 8 8 8 7 8 8 8 8 8 8 8 9 9 9 8 8 7 8 9 9 8 8 8 8 9 9 9 9 9 8 8 9 9 9 10 12 13 12 7 2 -1 -2 -0 3 6 9 10 10 9 9 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 8 9 9 9 9 9 9 9 8 9 8 8 9 8 5 1 -3 -3 2 6 8 10 10 10 10 10 10 11 11 12 13 14 15 16 17 18 18 18 17 16 15 15 15 15 16 16 16 17 18 18 19 18 18 20 21 22 21 18 17 17 16 16 15 16 18 19 18 17 16 14 13 13 13 13 13 13 14 14 14 nan
nan 9 9 8 7 7 8 8 9 9 10 9 9 8 7 7 7 8 8 9 9 9 9 8 7 6 6 7 7 8 8 8 8 7 8 8 9 9 8 8 8 8 8 8 8 7 8 9 10 10 9 8 7 8 8 9 9 9 9 8 9 10 10 10 10 10 10 8 3 0 -0 1 3 6 9 10 10 9 8 7 7 7 8 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 6 4 0 -1 4 9 13 13 13 12 11 10 11 11 11 12 13 15 15 15 15 15 14 13 13 12 11 10 10 10 11 11 11 11 12 13 14 15 16 17 18 19 19 17 16 16 16 15 15 16 18 20 21 21 20 18 16 15 14 14 14 14 14 14 14 15 nan
nan 9 9 8 8 8 8 8 9 9 10 10 9 8 8 7 7 8 8 9 9 10 9 8 7 6 7 7 7 8 8 8 8 7 8 8 9 9 8 8 7 8 8 8 7 7 8 9 10 10 9 7 7 7 8 8 9 9 9 9 10 10 10 9 9 8 7 4 2 2 2 4 7 9 11 11 9 8 7 7 7 7 8 8 9 9 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 7 7 7 6 5 4 7 13 17 18 16 14 13 12 11 10 10 10 12 14 15 14 13 11 10 9 9 8 7 6 6 6 6 7 7 7 6 6 7 8 8 10 12 12 12 12 11 12 13 13 12 12 14 16 19 20 21 21 20 18 16 15 14 14 14 14 14 15 15 nan
nan 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 8 10 10 9 8 7 7 7 8 8 8 8 9 9 9 9 9 8 7 6 5 4 3 4 5 7 9 11 11 9 8 7 7 8 8 8 8 8 9 10 10 9 8 7 7 7 7 8 8 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 9 13 17 19 17 16 15 14 12 10 9 9 10 11 12 12 11 10 8 7 7 7 6 5 4 4 4 4 5 5 5 4 3 3 4 4 5 7 7 7 6 7 8 8 8 7 7 9 11 14 16 18 19 19 17 16 16 15 14 14 14 14 15 15 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 10 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 7 8 8 8 8 8 9 9 9 9 8 6 7 8 8 8 8 8 8 8 9 9 8 7 6 5 4 4 5 6 7 8 10 10 9 8 8 8 8 8 8 8 8 9 9 10 9 8 7 7 7 8 8 8 8 9 9 8 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 13 14 14 13 13 13 12 10 8 7 8 10 10 11 10 8 8 8 8 8 8 8 7 6 5 5 5 5 5 5 5 4 3 3 4 4 5 6 6 5 5 6 6 6 5 4 4 5 8 10 12 14 15 15 15 15 14 14 14 14 14 15 16 nan
nan 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 7 6 5 5 5 6 7 8 9 9 9 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 10 9 9 9 10 10 9 7 6 7 9 10 10 10 9 8 8 9 10 11 11 11 11 10 9 8 7 7 6 6 6 5 5 4 4 5 6 7 7 7 6 6 7 7 6 5 3 3 3 4 6 8 9 10 11 12 12 13 13 13 14 14 15 nan
nan 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 9 9 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 8 8 9 8 7 6 7 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 8 9 9 8 8 8 8 7 6 5 4 3 2 3 7 10 11 11 10 10 10 10 11 12 12 13 13 13 13 11 10 8 7 6 6 6 6 6 5 5 5 6 7 8 8 7 7 8 8 8 7 6 5 3 3 3 3 4 6 7 8 9 10 11 11 12 13 13 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 7 7 7 9 9 9 9 9 8 8 8 8 7 7 7 8 7 7 6 6 6 7 8 8 9 9 8 8 8 9 8 9 9 9 8 8 8 7 7 6 6 6 6 7 8 9 9 8 8 8 7 6 5 3 1 -0 -1 -2 1 6 9 10 10 9 10 10 11 11 11 12 12 13 13 13 12 11 9 8 7 6 6 6 6 6 5 4 4 6 7 8 8 7 8 8 9 9 8 7 6 5 4 3 3 4 4 5 5 6 8 9 10 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 10 10 9 8 7 7 7 7 8 8 9 8 7 8 8 8 8 8 8 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 8 8 8 8 7 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 9 9 8 8 8 7 6 6 5 5 5 7 8 9 9 9 8 8 8 8 6 5 3 2 1 0 1 4 6 6 6 7 8 9 10 10 9 8 8 8 9 10 11 11 10 9 8 7 7 7 6 6 6 5 5 4 5 6 7 7 7 7 7 8 8 8 8 8 8 7 6 5 4 4 4 4 4 5 7 8 8 9 nan
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nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 7 6 6 8 9 10 10 11 12 12 11 9 8 7 8 8 9 10 9 8 7 7 6 6 5 4 5 6 7 8 9 9 10 11 12 12 13 12 11 11 11 12 12 11 11 10 11 12 12 12 12 11 12 13 13 13 12 11 10 9 8 8 9 10 11 11 10 10 10 12 13 13 12 11 11 11 12 13 16 17 17 16 14 13 15 18 21 23 24 23 20 16 13 14 15 16 15 14 13 12 12 11 11 10 9 8 8 7 7 7 7 7 8 8 9 10 11 11 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 7 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 8 11 12 12 12 12 11 10 9 8 9 9 10 11 11 10 9 8 6 5 5 4 5 7 10 12 14 14 14 13 11 11 11 11 11 11 11 11 12 11 11 10 10 11 12 13 14 14 14 14 14 14 13 11 9 8 8 7 7 7 8 9 10 11 11 12 12 13 12 11 10 10 11 11 11 12 12 11 10 8 6 4 3 3 5 7 9 9 7 7 11 17 20 18 15 14 12 12 11 11 10 9 9 8 8 8 8 8 8 9 9 10 11 11 12 13 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 9 7 7 7 9 11 13 14 13 12 10 10 9 9 9 10 9 9 10 10 9 10 10 9 8 7 7 9 12 15 17 18 17 16 15 13 12 11 10 9 10 10 11 10 10 9 9 10 12 13 14 14 15 16 17 16 15 12 9 8 7 7 7 7 8 8 8 8 9 10 11 12 11 10 10 10 11 12 12 13 12 12 11 11 11 11 9 6 2 -0 -1 -2 -4 -3 2 9 15 16 14 12 12 12 12 11 10 10 9 9 9 8 9 9 10 11 11 12 12 12 13 13 13 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 10 8 7 8 9 12 13 13 12 11 9 8 8 9 11 11 10 9 9 10 10 10 11 12 11 10 9 9 11 14 16 16 16 15 14 14 13 11 10 9 9 9 9 9 8 8 8 9 10 12 13 14 15 15 16 16 16 14 11 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 11 12 13 13 13 13 14 16 18 19 18 15 12 9 7 5 7 11 15 16 13 12 13 14 14 12 12 11 11 10 10 10 11 12 15 15 15 14 14 14 14 13 13 13 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 10 11 12 11 9 8 8 10 11 11 9 7 6 5 5 6 8 9 11 11 10 10 11 11 11 12 12 11 9 8 8 10 12 14 15 14 13 12 12 11 11 10 9 8 9 9 9 9 9 9 9 9 10 11 13 14 15 15 15 14 12 10 8 7 6 6 6 6 7 7 8 8 8 9 9 9 10 11 11 10 10 9 9 9 10 11 12 13 15 16 18 20 23 25 25 24 23 24 26 28 28 25 22 21 22 21 20 18 16 15 14 13 13 14 18 22 24 23 19 16 15 14 13 13 13 12 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 6 7 7 7 7 8 8 8 8 8 9 11 12 12 10 9 8 8 7 6 2 -1 -2 -2 -1 1 3 4 6 7 8 10 11 12 12 12 12 10 8 6 6 9 12 14 14 13 11 10 10 9 9 8 8 9 9 9 10 11 11 11 11 11 11 11 12 13 15 15 14 12 10 7 6 5 5 5 6 6 7 7 8 9 9 10 10 9 10 11 11 11 11 11 10 9 8 8 10 11 12 12 13 14 16 19 22 25 26 27 28 30 31 30 28 28 28 28 27 27 27 24 21 20 19 19 21 25 28 27 23 19 15 14 13 13 13 13 13 13 nan
nan 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 9 7 5 4 5 7 8 9 10 10 10 10 10 9 9 9 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 9 11 13 13 12 10 8 5 2 -1 -4 -6 -8 -7 -5 -3 -2 -2 -1 0 2 4 8 11 13 12 11 10 7 6 6 8 12 14 15 14 11 9 8 8 8 8 8 8 9 10 11 12 12 12 12 11 11 11 11 12 14 14 13 11 8 6 4 4 4 5 6 7 7 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 10 11 12 12 12 12 13 14 15 17 18 19 19 19 20 19 20 20 22 23 25 27 28 27 26 27 28 28 27 25 23 20 17 16 17 16 15 15 14 13 13 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 9 7 3 -2 -6 -6 -3 1 4 7 9 10 10 10 10 10 10 9 8 7 6 6 5 6 7 8 8 9 9 8 8 8 10 12 13 13 13 11 7 3 -2 -5 -6 -6 -5 -2 -0 1 2 1 -1 -2 -1 0 3 6 8 8 7 7 6 5 6 8 11 13 14 13 11 9 8 7 8 8 8 9 9 10 11 12 12 12 12 11 10 10 10 11 12 13 12 10 7 5 3 3 4 5 6 8 8 9 9 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 12 13 13 13 13 12 12 11 11 11 10 10 10 10 11 11 12 13 15 16 18 19 21 25 28 31 31 29 25 21 18 18 21 23 23 21 18 15 13 12 11 nan
nan 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 9 7 2 -5 -10 -13 -10 -5 -1 2 6 9 10 9 10 10 10 10 9 7 6 6 5 5 7 8 8 9 9 9 8 8 10 12 12 12 12 12 9 4 -1 -5 -5 -1 2 5 7 8 8 7 6 5 4 4 4 4 3 1 -2 -2 -1 0 2 5 9 11 11 10 8 7 6 6 7 8 9 9 9 10 10 11 12 12 12 11 10 10 10 10 10 11 10 9 7 4 3 2 2 3 5 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 13 14 15 15 15 14 13 13 12 10 9 8 7 7 7 7 8 9 9 10 10 11 11 12 12 15 18 21 23 24 26 26 24 22 21 21 21 20 17 14 11 10 9 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 7 4 -3 -8 -11 -9 -5 -1 2 4 7 9 8 9 10 11 11 9 8 7 6 5 5 6 8 9 9 9 9 9 9 10 11 12 12 12 12 12 8 4 2 2 5 10 12 13 13 12 11 10 10 9 9 9 8 6 3 -1 -6 -7 -6 -4 -1 3 6 6 6 5 4 4 4 6 7 9 9 9 9 10 11 11 12 12 12 11 10 10 10 9 8 8 7 6 5 4 3 3 3 5 7 9 10 10 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 13 15 17 18 18 16 14 13 12 10 9 8 7 6 7 8 9 9 10 10 11 11 11 11 11 11 12 13 15 15 17 19 22 21 18 12 7 3 2 2 2 4 6 8 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 6 1 -5 -8 -7 -3 2 4 6 7 9 9 10 11 13 13 11 9 7 7 6 6 6 7 9 10 10 9 9 9 10 11 11 11 11 12 12 11 9 8 9 12 16 19 19 19 18 16 13 12 11 11 11 10 9 8 6 3 0 -1 -2 -2 -1 0 0 0 0 2 4 5 6 7 7 7 6 7 8 10 11 12 13 12 12 11 10 10 9 7 4 3 3 3 4 5 5 6 7 10 12 11 10 8 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 13 15 17 19 17 14 12 11 10 8 7 6 6 6 8 9 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 14 15 13 8 1 -4 -7 -7 -4 -1 3 6 9 10 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 8 5 -1 -6 -6 -4 0 4 7 8 9 10 12 14 16 17 14 10 9 7 7 6 6 7 8 9 10 10 9 9 9 9 10 10 10 10 11 11 10 10 12 14 17 20 21 21 20 19 16 13 12 12 12 12 11 10 9 8 7 7 7 6 5 3 1 -1 -2 -0 2 4 6 7 7 6 5 5 6 8 10 11 12 13 12 11 10 9 8 6 4 3 3 4 5 6 7 9 10 12 14 13 11 9 7 7 7 8 8 8 9 9 10 10 10 10 9 9 9 10 11 12 13 15 16 14 13 12 11 9 7 6 5 5 7 8 9 11 12 13 12 12 12 12 12 12 13 14 14 12 12 12 12 11 6 1 -3 -4 -3 -1 1 4 6 9 10 10 nan
nan 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 10 9 8 8 9 9 8 3 -3 -6 -5 -2 2 6 8 9 10 11 14 17 20 19 14 10 9 8 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 10 11 11 11 12 13 14 15 16 16 15 13 11 10 11 13 15 15 14 12 11 10 10 9 10 10 10 9 8 6 4 4 4 4 2 1 1 3 3 4 5 7 9 10 11 12 12 11 10 9 7 6 5 5 7 9 10 10 10 10 12 13 13 12 11 10 8 7 7 7 7 8 8 8 9 10 10 9 7 7 8 9 10 10 11 12 13 12 11 10 10 10 9 7 6 6 7 8 10 11 13 14 14 13 13 12 12 12 12 13 13 12 10 9 9 7 3 -2 -5 -5 -2 2 4 6 7 9 9 10 10 nan
nan 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 9 7 0 -5 -6 -4 -1 4 7 9 10 10 11 13 17 20 19 15 11 10 8 7 6 6 8 9 9 9 9 9 9 10 10 10 9 9 10 11 11 11 12 12 12 12 11 9 5 2 2 5 9 14 16 16 14 13 12 11 10 10 10 10 10 10 10 9 9 9 8 5 2 -1 -2 -0 2 4 6 8 9 10 10 10 10 9 8 7 7 6 8 10 11 12 11 10 10 11 11 11 9 8 8 8 8 8 8 8 8 7 7 7 8 8 7 6 5 6 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 9 10 11 12 13 15 15 14 14 13 12 12 12 12 12 11 10 9 7 4 0 -5 -8 -7 -5 0 4 6 8 9 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 4 -2 -5 -5 -3 1 6 8 10 10 10 10 12 16 19 19 16 13 11 8 6 5 6 8 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 8 3 -3 -4 -0 5 11 15 15 14 13 13 12 11 11 11 11 11 11 11 11 11 12 12 11 10 8 7 5 4 4 5 6 7 8 9 9 7 6 5 5 5 5 7 8 9 9 7 6 6 7 9 8 6 5 6 7 7 7 8 9 9 9 8 8 8 9 8 7 8 9 10 11 10 9 8 7 7 6 5 4 4 4 6 8 10 11 12 12 12 13 15 15 15 14 13 12 11 11 11 11 11 10 9 8 7 4 -0 -3 -3 -1 2 5 8 9 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 8 3 -1 -4 -4 -1 3 7 9 10 10 10 10 12 15 18 20 19 15 11 8 6 7 9 10 10 9 10 10 10 10 10 9 9 9 10 10 9 9 9 8 9 9 9 6 2 -1 3 8 14 17 16 12 11 11 12 12 13 14 14 14 14 15 16 16 16 18 18 18 17 16 14 12 10 8 7 5 5 5 6 6 6 5 4 4 3 4 5 5 5 5 4 5 7 8 9 7 5 5 6 6 6 6 6 7 8 10 12 13 14 13 11 11 13 15 15 14 12 10 8 6 5 3 3 3 4 5 8 10 12 13 13 13 12 13 14 14 14 13 12 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 10 10 10 11 11 11 10 10 9 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 8 5 1 -1 -2 0 4 7 8 9 10 10 10 11 13 16 19 19 15 11 8 7 9 11 11 10 10 11 11 10 9 9 9 10 10 10 10 9 9 9 9 9 9 8 6 5 8 13 18 19 18 13 10 9 10 11 12 14 17 18 19 21 22 23 24 25 27 27 25 22 19 17 15 13 11 9 7 6 5 4 5 6 7 7 6 5 5 5 6 6 6 8 10 12 13 11 9 8 8 8 8 7 6 7 7 9 13 16 18 17 14 12 12 12 13 13 12 10 8 5 3 3 3 4 5 6 9 11 13 13 13 13 12 12 13 13 13 13 12 11 10 9 8 9 9 9 9 9 9 11 14 17 20 19 16 13 11 10 10 10 10 10 10 10 9 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 6 1 -2 -2 0 4 6 8 9 10 10 10 11 12 15 19 20 16 12 9 9 10 11 10 10 11 11 10 9 9 10 10 10 11 10 10 9 9 9 9 9 8 7 7 9 12 15 16 15 11 9 8 8 9 10 11 13 15 17 20 22 24 26 27 29 29 27 25 22 20 18 17 16 15 14 12 10 8 7 8 10 11 11 10 9 9 9 9 9 10 12 13 13 12 10 9 9 10 10 10 10 10 10 11 13 16 16 15 12 10 9 9 8 8 8 7 6 4 2 2 4 6 8 9 10 12 14 14 14 13 12 11 12 12 12 12 12 11 10 9 8 8 8 8 9 9 9 10 12 15 18 17 14 11 9 8 9 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 4 -1 -3 -3 -0 4 6 8 9 10 10 10 11 11 15 20 22 19 15 11 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 10 10 9 8 8 7 7 7 8 10 10 9 7 6 6 7 8 9 9 10 11 12 13 16 18 20 22 23 24 22 21 20 19 19 19 19 19 21 21 19 17 17 18 19 19 17 14 12 11 11 10 10 10 10 10 10 9 8 7 8 10 11 11 11 12 12 12 13 14 13 11 8 6 7 8 8 7 6 6 5 4 3 4 6 9 11 13 13 14 14 14 14 13 12 11 10 10 10 10 10 10 10 10 9 8 9 9 9 9 10 10 12 13 14 12 9 6 5 5 8 9 10 10 10 10 10 10 11 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 9 7 3 -1 -3 -2 1 4 6 8 9 10 10 10 10 11 17 23 25 23 18 11 9 9 10 11 11 10 9 9 10 10 10 10 9 9 9 10 10 10 9 8 8 7 7 8 8 8 7 6 4 3 3 4 6 8 9 9 9 10 11 13 15 17 18 19 18 16 14 13 13 14 15 17 19 21 21 20 20 22 25 26 23 19 15 12 11 11 10 10 9 8 7 7 6 6 6 8 10 11 11 11 12 13 14 14 13 10 7 6 6 7 8 9 9 8 7 6 7 8 10 13 14 15 15 15 15 15 13 12 11 10 9 9 8 8 8 9 9 10 10 9 9 9 9 9 10 10 10 12 12 12 9 8 7 7 9 10 10 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 6 3 0 -1 -1 1 4 6 8 9 10 10 10 11 13 20 26 27 24 17 9 8 9 10 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 7 5 1 -2 -1 1 4 7 8 9 9 10 12 13 15 17 18 16 14 12 10 9 8 9 11 13 15 15 14 14 15 17 19 19 17 14 12 11 11 10 9 9 8 8 8 8 6 6 7 9 9 9 9 10 12 13 13 14 13 12 10 10 10 10 10 10 11 11 12 12 14 15 17 18 18 16 15 14 14 13 12 11 10 9 9 8 7 7 8 9 9 10 10 10 10 9 10 10 10 10 11 11 11 10 11 12 14 15 15 13 12 12 12 11 11 11 11 12 nan
nan 10 10 9 9 9 9 9 9 10 11 10 10 10 10 9 9 9 9 9 9 6 3 1 -1 -1 1 4 6 8 9 10 10 10 12 17 25 29 28 22 13 8 7 8 9 10 10 10 9 9 9 9 10 10 10 10 10 11 10 10 9 8 8 8 8 8 8 8 7 4 -2 -5 -3 -0 3 6 7 8 10 12 14 16 17 17 15 13 10 8 7 7 8 9 11 12 11 8 6 4 4 6 8 9 9 8 9 9 9 9 8 8 7 7 6 5 3 3 4 5 6 6 7 9 10 12 13 14 14 15 14 14 13 13 12 13 14 15 16 17 18 18 18 17 17 16 14 13 12 11 11 11 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 13 15 17 19 17 15 13 13 12 12 12 12 12 12 nan
nan 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 9 6 3 -0 -1 -1 2 4 6 7 9 9 10 12 15 23 30 30 26 18 10 7 6 7 8 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 9 8 8 7 8 8 8 8 7 2 -3 -4 -2 1 4 5 7 9 12 14 16 17 17 15 12 9 7 7 7 8 9 10 11 10 6 2 -2 -4 -3 -0 2 3 4 4 3 3 3 4 5 4 2 0 -2 -5 -6 -6 -4 -3 -2 -1 2 5 8 10 12 14 15 15 15 15 15 15 15 16 17 17 17 17 16 14 13 13 13 13 12 12 12 12 12 12 11 10 10 10 10 11 11 11 11 10 10 10 9 10 10 11 11 12 11 11 11 11 13 14 16 19 19 17 15 14 13 13 13 13 13 13 nan
nan 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 9 7 5 3 1 1 3 4 5 7 9 9 11 13 19 27 30 27 20 13 9 7 7 8 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 8 6 0 -3 -2 -0 3 6 8 10 13 15 16 17 17 15 12 9 8 7 8 9 10 10 11 10 7 4 1 -1 -1 1 2 2 2 1 -1 -2 -3 -2 -1 -2 -4 -6 -8 -9 -9 -8 -6 -5 -6 -7 -6 -4 1 4 7 9 11 12 12 13 14 15 15 16 17 17 16 14 13 11 10 10 10 10 11 11 12 12 12 12 12 11 10 10 10 11 12 11 11 11 10 10 10 9 10 10 11 11 11 11 11 11 11 12 12 15 18 20 19 18 15 14 14 14 14 13 13 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 6 3 3 3 3 5 7 9 10 11 14 21 27 26 20 14 10 9 9 9 9 10 9 9 9 9 9 8 8 9 10 10 10 10 9 8 6 5 5 5 6 7 8 8 8 4 -1 -2 -2 1 5 8 10 13 16 18 18 17 15 12 9 8 7 8 9 10 10 11 10 10 9 9 9 10 11 11 9 7 6 4 2 0 -0 -1 -1 -3 -5 -6 -5 -3 -1 2 4 3 1 -1 -2 -1 1 2 2 2 4 8 11 13 13 12 12 13 13 13 12 11 10 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 11 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 16 18 20 21 19 17 15 15 14 14 13 12 nan
nan 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 9 8 9 10 8 6 4 3 2 3 4 7 9 10 12 15 21 25 22 17 13 10 9 9 9 8 8 8 8 10 10 9 9 9 10 10 10 10 9 7 3 0 1 2 4 6 8 9 9 7 3 -1 -2 -1 3 7 9 11 14 19 21 19 17 13 9 7 7 8 9 10 11 11 10 11 11 12 14 16 17 17 16 14 13 12 11 9 9 8 7 6 5 4 4 6 8 9 10 10 10 9 9 9 8 6 4 2 2 7 12 14 14 12 10 10 10 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 10 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 14 16 17 18 20 20 18 17 15 15 14 13 12 nan
nan 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 10 10 8 6 4 3 2 3 4 7 8 10 11 15 20 23 20 17 14 11 9 8 7 6 6 7 8 10 11 10 10 10 10 10 10 10 7 3 -2 -4 -3 0 4 7 9 10 9 7 2 -1 -3 -0 5 7 9 12 17 23 23 19 15 10 7 8 9 10 11 11 11 11 11 11 11 12 14 15 15 16 17 17 17 17 17 16 15 15 15 14 13 12 12 13 13 13 13 13 14 15 16 15 14 11 9 8 12 16 18 17 13 10 9 8 9 10 10 10 10 9 10 10 10 10 10 10 10 9 10 10 11 11 12 12 12 12 12 11 10 10 10 11 11 12 12 12 12 12 12 12 13 13 14 14 15 15 15 15 17 19 20 20 19 19 19 18 16 14 nan
nan 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 9 7 5 3 2 3 4 6 8 10 11 14 19 20 19 17 14 10 8 6 5 5 6 8 11 12 13 13 12 11 10 11 11 10 7 2 -1 -1 0 2 6 9 10 9 9 5 1 -3 -3 1 5 7 9 12 19 23 21 17 12 8 8 10 11 12 12 12 11 11 10 10 11 11 11 11 12 14 16 18 19 21 21 21 21 21 21 20 19 17 16 16 16 16 18 19 22 23 22 19 15 13 12 14 16 18 17 14 10 9 8 7 9 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 12 12 13 14 15 15 15 15 14 14 16 18 20 22 25 26 26 24 22 19 nan
nan 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 6 4 3 3 4 6 8 10 11 14 17 18 19 18 13 9 8 7 7 7 9 10 12 14 14 13 12 11 12 12 12 11 9 6 6 6 6 7 9 9 8 6 4 0 -3 -5 -2 3 7 8 10 14 19 20 18 15 11 10 11 12 13 13 13 12 11 10 10 10 10 10 10 10 11 12 14 15 18 20 21 22 23 24 24 23 22 20 20 21 22 25 27 28 29 28 24 19 16 13 13 14 17 18 18 14 12 10 9 10 12 12 12 11 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 11 11 12 11 10 10 10 10 10 10 11 10 10 10 11 11 12 12 13 14 15 15 14 14 14 14 15 18 22 26 28 28 26 26 25 nan
nan 9 9 9 9 9 10 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 7 5 3 3 3 5 8 10 11 13 15 17 20 18 13 10 9 8 9 9 10 11 12 13 13 12 12 12 13 13 12 11 9 10 11 11 9 9 9 7 5 2 -1 -5 -6 -3 1 6 8 10 11 14 18 18 17 14 12 12 13 13 13 13 12 12 11 10 10 10 10 11 12 12 12 12 13 13 14 15 15 16 18 19 21 21 21 21 22 24 26 29 29 28 27 25 20 17 15 15 16 18 22 25 24 20 16 13 12 13 13 13 12 11 10 10 10 9 10 9 9 8 8 9 10 10 11 11 11 11 11 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 14 14 14 14 14 13 13 13 15 17 20 21 21 22 24 26 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
179 148 125 111 101 99 113 121 115 99 79 62 49 41 35 27 20 16 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 38 58 86 114 141 155 175 182 177 165 161 163 159 152 177 239 327 441 569 678 737 767 836 880 898 901 899 893 881 863 817 764 707 654 619 593 533 456 366 300 251 208 177 159 141 137 135 130 121 112 107 110 113 106 85 70 81 88 86 84 88 86 85 92 103 116 127 143 184 251 339 466 566 611 617 611 595 576 520 454 392 342 302 270 243 238 246 251 258 252 238 217 189 167 156 146 139
177 151 133 116 94 78 77 61 51 47 41 33 30 36 48 56 45 33 22 14 8 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 9 36 65 97 132 151 169 179 181 180 185 177 176 164 164 190 245 330 461 652 793 786 829 875 901 916 935 951 970 965 944 907 860 806 749 710 659 588 520 452 376 307 258 231 214 195 184 170 152 138 132 132 134 129 109 91 86 87 86 80 88 85 85 92 102 114 125 131 141 172 242 370 503 603 656 669 654 635 595 545 482 414 359 323 291 281 278 287 301 300 286 272 244 219 208 199 183
186 169 155 132 93 59 39 21 18 25 32 38 39 38 49 70 60 47 35 23 15 11 8 3 3 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 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 5 23 51 86 117 144 167 182 187 187 204 188 186 180 172 173 190 228 317 496 651 754 825 875 898 886 929 975 1012 1035 1049 1042 1011 965 901 840 765 699 651 591 513 434 365 321 271 242 229 212 192 180 183 173 169 151 134 120 107 97 95 88 86 83 81 85 95 108 122 131 129 140 191 292 411 525 623 682 675 664 650 622 568 499 434 390 354 331 319 325 337 339 336 335 310 282 263 243 221
220 215 209 187 135 83 53 40 40 48 59 72 81 77 59 71 61 49 38 28 18 12 11 7 6 3 2 0 0 0 0 0 1 0 0 0 0 0 0 1 2 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 1 5 19 35 66 98 132 163 185 195 194 208 204 192 180 174 178 187 192 250 361 507 624 706 782 855 861 910 970 1021 1066 1105 1124 1115 1092 1052 996 930 851 785 725 648 562 489 444 378 320 281 254 236 230 247 226 198 177 169 163 142 121 110 101 95 87 82 85 94 105 117 123 123 131 164 223 304 402 490 559 612 646 659 659 646 598 536 481 429 391 370 362 364 364 373 382 379 366 342 305 268
268 281 284 256 192 125 71 46 40 49 67 84 96 92 70 53 40 32 25 19 13 10 8 7 5 3 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 24 50 86 119 149 177 207 219 228 224 210 194 183 186 199 204 230 278 334 408 505 614 730 787 837 899 976 1042 1093 1137 1171 1184 1166 1135 1102 1047 971 886 780 696 636 577 504 431 366 315 292 291 300 277 237 209 209 211 185 157 137 123 111 101 96 98 103 106 114 119 123 131 146 174 219 278 334 430 542 637 705 742 743 703 643 582 522 467 426 402 389 381 392 408 423 433 428 383 335
318 326 317 271 201 133 60 31 26 35 50 67 72 59 37 25 20 19 17 13 9 6 3 2 0 0 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 5 16 42 75 102 135 172 211 235 249 245 232 222 205 196 201 206 226 264 307 356 423 496 587 655 710 773 852 930 1000 1075 1158 1228 1234 1224 1220 1202 1155 1076 950 857 792 733 662 571 475 400 376 374 369 338 285 254 270 266 229 193 168 148 131 119 113 113 112 107 109 116 123 130 138 148 173 210 282 393 527 654 743 790 796 759 710 661 610 552 496 452 422 402 398 409 433 461 483 456 416
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280 226 175 141 94 80 49 31 27 32 38 39 33 21 14 11 8 5 3 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 1 3 16 44 58 85 123 175 235 283 302 294 297 273 243 230 223 227 240 254 274 311 347 371 398 436 484 537 601 707 781 891 1000 1085 1156 1241 1317 1328 1327 1287 1220 1141 1064 993 885 770 677 608 571 550 511 452 415 401 392 366 327 288 254 220 187 164 146 133 127 128 130 123 121 118 125 145 179 239 340 458 539 580 602 614 627 643 651 666 653 617 578 540 504 467 441 444 460 479 495 502
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