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 9 9 9 9 8 8 8 7 6 5 5 4 5 5 5 6 6 7 7 7 8 9 8 8 8 8 8 8 8 8 8 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 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 9 10 10 11 12 12 12 12 10 10 9 10 10 11 11 12 12 12 12 12 12 12 11 11 10 9 9 10 10 11 12 13 13 12 11 9 8 8 9 10 11 11 11 11 10 10 10 9 9 9 9 10 10 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 9 9 8 9 9 9 9 9 10 9 9 8 9 9 10 10 10 10 nan
nan 9 9 8 8 8 8 7 7 6 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 9 10 10 9 8 7 8 9 11 12 14 15 16 16 15 14 13 11 11 11 12 13 14 14 14 14 14 14 14 14 13 12 12 12 12 12 12 12 13 15 15 15 14 13 12 11 11 11 12 13 12 11 10 9 9 10 10 9 10 10 10 10 9 9 10 11 12 12 11 11 11 11 11 10 9 8 8 9 10 10 10 10 9 7 7 7 7 8 8 9 10 10 9 9 8 8 8 8 9 9 10 9 9 9 9 9 10 11 11 10 9 9 9 10 9 9 9 10 nan
nan 8 8 8 8 7 7 6 6 5 5 5 6 6 6 6 6 7 7 8 8 7 7 7 7 7 6 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 11 11 11 12 12 12 12 11 10 10 10 11 12 14 15 16 16 16 15 14 13 12 12 13 13 14 14 14 14 14 13 13 14 14 13 13 13 13 13 13 13 13 13 14 14 14 14 15 14 14 13 12 12 13 12 10 9 8 8 9 10 10 10 10 10 10 10 10 10 11 12 12 11 10 10 11 12 11 9 8 8 9 10 11 11 10 9 7 7 7 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 11 11 10 10 10 10 9 9 9 9 9 nan
nan 8 8 7 7 6 6 5 5 4 4 5 6 6 6 6 7 7 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 11 12 13 14 15 15 15 14 14 14 15 15 15 15 14 14 13 13 13 13 13 14 14 14 14 13 12 12 12 12 12 13 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 11 11 11 11 9 8 8 8 9 10 10 10 10 10 9 10 10 11 11 11 11 10 9 10 11 12 10 9 8 8 10 11 12 12 10 7 6 7 8 8 9 8 8 9 9 10 11 10 10 10 10 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 nan
nan 8 7 6 6 5 5 5 5 5 6 7 7 7 7 7 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 12 14 15 16 16 16 16 16 15 15 16 16 16 15 15 14 13 13 13 13 13 12 12 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 10 11 11 11 10 10 10 10 9 9 10 10 10 10 10 9 10 11 11 9 9 9 9 10 10 10 10 10 10 9 10 10 11 11 11 10 9 9 10 11 11 10 9 8 9 11 12 12 10 8 6 6 8 9 10 10 9 9 9 10 11 11 11 11 11 11 11 10 10 9 10 10 10 10 10 11 11 10 10 10 10 10 10 9 8 8 nan
nan 6 6 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 9 9 10 12 14 15 15 15 15 15 15 14 14 14 14 14 14 14 13 12 12 11 11 11 11 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 10 11 11 10 8 6 7 9 11 12 12 11 9 9 10 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 10 10 9 nan
nan 5 5 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 11 12 14 15 15 14 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 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 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 10 10 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 8 7 8 10 12 13 13 11 9 8 9 10 12 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 12 12 11 10 nan
nan 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 10 12 14 15 15 13 12 11 10 9 9 9 9 9 9 9 9 9 10 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 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 10 11 11 10 9 9 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 9 8 8 8 10 11 13 13 11 9 8 8 9 10 11 10 10 10 10 10 10 10 10 11 11 10 10 9 8 8 9 9 10 11 11 11 12 12 13 12 10 nan
nan 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 11 14 15 14 12 11 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 8 9 10 11 9 8 8 9 10 9 8 7 9 10 10 8 7 9 9 9 8 8 9 9 9 9 8 9 10 11 12 12 11 10 9 8 8 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 10 9 9 9 10 10 11 12 12 12 11 10 nan
nan 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 9 11 13 14 13 12 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 7 7 8 9 9 8 7 8 9 9 8 7 7 9 10 10 8 8 9 10 9 8 7 8 9 9 9 9 10 11 11 11 10 10 10 9 9 8 9 9 8 8 9 10 10 10 9 9 9 9 9 10 10 10 11 11 10 9 8 9 9 10 10 10 10 11 11 nan
nan 8 8 7 7 7 6 6 6 6 7 7 7 7 8 8 7 7 7 7 6 6 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 7 8 9 10 12 13 13 13 12 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 9 9 8 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 8 8 9 9 8 7 8 9 9 9 8 8 9 9 9 9 9 10 10 9 8 7 8 9 10 9 10 10 11 10 10 9 10 10 9 9 9 10 9 9 9 10 12 12 11 10 9 9 9 9 10 10 10 10 10 9 9 8 9 9 9 9 10 10 11 11 nan
nan 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 7 7 7 7 6 6 7 7 8 8 9 10 11 13 14 14 14 12 11 10 10 9 9 8 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 9 9 8 8 8 8 9 9 9 8 8 9 9 9 9 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 11 12 12 11 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 11 11 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 9 10 11 13 14 15 15 14 13 12 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 11 12 12 11 9 8 8 8 8 9 9 9 9 8 8 9 9 10 10 11 11 11 10 10 11 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 10 11 12 13 14 15 15 15 14 13 12 11 11 10 10 9 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 8 8 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 10 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 nan
nan 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 9 9 10 10 10 10 11 13 14 16 16 16 16 15 13 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 10 10 9 9 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 12 11 10 11 11 11 11 10 9 9 10 10 10 10 9 8 7 7 8 9 10 10 10 9 9 9 10 10 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 nan
nan 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 7 7 7 7 8 8 8 8 9 10 11 11 12 12 13 14 15 17 17 17 16 15 13 11 10 9 9 9 10 10 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 12 13 13 13 12 11 10 10 11 11 10 10 10 10 10 10 9 8 7 7 8 9 10 10 10 10 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 10 10 10 9 9 9 10 10 9 8 7 6 7 7 7 8 9 9 10 11 10 10 10 10 10 9 9 9 10 10 10 10 10 nan
nan 6 6 6 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 9 9 10 10 11 12 13 14 14 15 16 16 16 16 16 15 14 13 12 11 10 10 9 9 10 10 10 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 10 10 10 9 9 9 9 9 10 10 10 9 8 8 9 12 14 15 16 16 15 13 11 10 9 10 11 11 11 11 11 10 10 9 7 7 7 8 9 10 10 10 9 9 8 8 7 7 7 7 8 8 7 7 7 8 9 10 10 10 9 9 9 9 9 8 8 6 6 6 7 8 8 9 10 10 11 11 10 10 10 10 10 9 9 10 10 10 11 11 11 nan
nan 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 7 6 6 6 6 6 7 8 9 11 12 13 14 15 15 15 16 16 16 16 16 16 15 14 14 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 11 11 11 11 10 9 8 8 8 8 8 8 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 8 6 5 6 9 13 16 17 17 16 15 14 12 11 10 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 8 8 8 8 7 7 8 9 10 10 10 10 9 9 8 8 8 7 6 6 6 7 7 8 9 10 11 11 11 11 10 10 10 9 9 9 9 10 10 10 11 11 12 nan
nan 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 6 8 9 11 12 13 14 15 15 16 17 16 16 16 15 15 14 14 13 13 12 12 11 11 10 10 10 10 10 10 11 11 10 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 9 9 11 12 12 12 12 11 10 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 7 4 3 4 8 12 13 13 13 13 13 13 13 13 13 13 12 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 7 7 6 6 6 6 7 8 10 11 11 11 11 10 10 9 9 8 9 9 9 10 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 5 5 5 5 6 7 9 11 13 14 16 16 16 16 16 15 15 15 14 13 13 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 12 12 12 11 10 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 5 4 6 8 9 9 9 9 9 10 11 13 14 15 15 13 12 11 10 9 8 8 7 7 7 8 8 9 9 9 8 7 7 7 8 8 8 8 8 9 8 8 8 9 9 10 10 10 9 8 7 6 6 5 5 6 6 7 9 10 11 11 11 11 10 9 9 8 8 8 8 9 9 10 9 9 8 8 8 9 nan
nan 8 7 8 8 8 9 8 8 7 7 6 6 5 5 5 5 5 6 8 9 11 12 14 15 16 16 16 15 14 14 13 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 9 9 8 7 7 7 8 8 9 8 8 7 7 7 6 6 6 8 11 13 13 11 10 8 8 9 9 9 9 9 10 9 9 9 10 10 10 10 9 9 9 8 8 8 9 9 8 8 7 8 8 7 6 6 7 7 7 8 9 11 12 12 12 11 11 11 11 10 9 8 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 6 5 4 4 5 6 7 9 10 11 12 13 12 11 10 9 8 8 7 7 8 8 9 10 9 8 8 8 8 8 9 nan
nan 8 8 8 8 8 8 7 7 6 6 5 4 4 5 5 7 8 10 11 13 14 15 15 15 15 14 13 12 12 11 11 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 7 7 7 8 8 8 7 7 7 7 6 4 4 5 7 11 13 13 11 8 8 9 9 9 9 9 10 9 9 9 10 11 10 10 10 10 9 9 8 8 9 9 10 10 9 9 9 8 7 7 6 6 5 5 6 6 6 7 8 8 9 10 11 11 12 11 10 9 7 6 6 5 6 7 9 9 8 8 7 8 8 9 9 9 9 10 10 10 10 9 8 7 6 5 5 5 7 9 10 11 12 13 13 13 12 10 9 8 7 7 7 8 8 9 10 10 9 8 8 8 9 9 10 nan
nan 7 8 8 8 8 7 6 6 5 4 4 4 5 6 8 10 12 14 15 16 16 15 15 14 13 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 7 7 7 8 8 7 7 7 7 7 7 6 5 4 6 10 13 14 11 9 8 8 9 8 9 10 10 9 8 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 7 6 6 5 4 3 4 4 6 6 7 8 10 12 13 13 12 12 10 7 6 6 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 11 11 12 12 13 12 12 11 10 9 8 8 7 7 8 8 9 9 10 9 9 9 9 9 9 9 9 nan
nan 7 8 8 7 7 6 5 5 4 5 5 6 8 10 12 13 15 16 16 16 15 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 6 7 10 13 14 13 10 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 9 8 7 6 5 4 4 5 5 6 6 8 9 10 12 14 15 15 14 12 10 8 7 6 6 7 7 8 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 7 7 8 9 9 10 10 10 10 9 9 8 8 8 8 nan
nan 7 7 7 7 6 6 6 6 6 7 8 10 12 14 15 15 16 15 15 14 13 12 11 11 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 10 13 15 14 11 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 10 11 12 11 10 9 8 8 7 6 6 6 6 7 8 9 9 11 13 14 16 17 17 17 15 13 11 10 8 7 6 7 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 8 9 9 9 8 8 8 8 7 7 7 7 8 9 10 10 10 11 10 10 9 8 8 7 7 7 nan
nan 8 8 8 8 8 7 8 9 10 11 12 14 15 15 15 15 14 14 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 9 10 10 10 11 11 11 10 10 9 8 8 7 6 6 7 7 7 7 7 6 6 6 7 7 8 8 10 12 14 14 13 12 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 10 11 12 11 9 9 9 9 8 8 8 8 7 8 9 10 11 12 13 15 16 18 19 19 19 19 18 16 15 13 10 8 7 7 8 10 11 11 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 10 9 9 8 7 7 7 7 7 nan
nan 10 10 11 11 11 11 12 12 13 14 14 15 15 15 14 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 8 7 6 6 6 6 7 7 6 6 6 6 6 7 7 8 9 11 13 15 15 13 11 9 9 10 10 10 10 9 10 10 9 9 9 9 10 10 10 9 9 8 8 8 9 10 11 13 13 11 9 7 7 8 8 8 9 9 9 9 10 11 12 13 14 16 17 18 19 20 20 19 19 18 17 17 16 14 11 9 8 8 9 11 11 11 10 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 10 10 9 9 8 8 7 6 6 7 7 7 7 nan
nan 12 13 14 14 14 15 15 15 15 14 14 14 13 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 9 8 7 7 6 6 7 7 6 6 6 6 6 6 6 7 8 9 10 13 15 15 13 11 9 9 9 9 9 8 9 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 12 13 13 11 8 6 6 7 8 8 9 9 9 10 10 11 11 13 15 16 17 17 18 18 17 16 16 16 16 16 16 15 15 14 13 12 11 10 10 11 10 9 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 6 6 6 6 7 8 7 7 nan
nan 14 15 15 15 15 15 15 15 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 8 7 6 5 5 5 5 6 7 7 8 10 13 16 16 14 11 9 9 10 10 9 8 9 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 10 11 12 12 10 7 6 6 7 8 8 9 9 9 9 10 10 11 12 12 13 13 13 14 13 13 12 12 13 13 13 14 14 16 17 18 17 15 12 10 10 9 9 8 7 8 9 9 8 8 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 6 6 6 6 7 6 6 6 6 7 7 8 8 8 nan
nan 15 15 15 14 14 14 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 7 7 7 9 9 8 7 6 5 5 5 5 5 6 7 8 11 15 18 17 15 11 9 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 9 6 5 5 6 7 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 13 15 18 19 18 15 12 10 9 8 8 7 8 9 9 8 7 7 6 7 7 7 8 9 9 9 8 7 7 7 7 6 5 5 7 8 8 8 8 8 8 8 8 9 10 11 nan
nan 14 14 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 8 8 8 9 9 9 8 8 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 7 9 9 9 8 7 6 5 5 5 5 5 6 7 8 13 17 19 18 15 10 8 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 9 6 5 4 5 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 9 9 11 13 15 15 13 11 10 9 8 7 7 8 9 9 9 9 8 8 8 8 9 9 10 10 9 8 8 8 8 8 9 8 9 10 10 11 11 11 10 10 10 10 12 13 14 nan
nan 13 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 9 10 10 11 12 11 11 11 11 11 11 10 9 8 7 7 8 9 9 8 6 5 5 5 5 5 5 5 7 10 15 19 19 17 13 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 10 11 12 13 12 10 8 5 4 5 6 7 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 9 8 8 8 9 10 10 10 9 8 8 7 7 8 9 9 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 11 12 13 13 13 13 13 13 12 12 11 12 12 13 14 14 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 11 12 13 14 13 12 12 12 11 10 9 7 6 6 7 8 9 8 7 5 5 4 4 5 5 6 8 12 18 21 19 15 11 10 11 12 11 10 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 13 11 10 7 5 5 6 7 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 9 9 9 10 10 9 9 8 8 8 7 7 6 6 6 6 6 6 7 8 9 8 7 6 5 5 4 4 4 5 6 7 8 9 10 11 12 13 14 15 15 15 15 14 13 12 12 12 12 12 13 13 13 nan
nan 10 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 11 12 12 11 11 12 13 14 15 15 14 13 12 11 10 9 7 6 7 8 9 9 8 6 5 5 4 4 4 5 7 10 15 20 20 16 11 10 11 12 12 11 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 11 12 12 12 11 8 7 6 6 6 7 8 7 6 6 6 7 8 8 9 9 9 10 10 10 9 9 10 10 11 11 11 11 10 9 8 6 5 4 3 3 3 3 4 5 6 5 4 3 3 2 2 2 2 2 2 3 3 5 7 10 12 12 12 13 14 14 14 13 13 12 11 11 11 11 11 12 12 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 11 11 11 12 13 14 16 15 14 14 12 11 9 8 7 7 7 8 9 9 8 6 5 5 4 4 4 5 7 11 16 19 17 12 9 10 12 12 12 11 10 10 10 10 9 9 10 10 11 11 10 10 10 11 11 11 11 11 10 10 10 11 12 13 12 10 8 6 5 5 6 7 7 7 6 6 7 8 8 8 8 9 9 9 9 9 10 10 12 13 13 13 14 14 13 11 9 7 5 5 4 3 2 2 3 3 3 3 4 5 5 5 5 5 4 3 2 1 1 2 4 7 9 10 11 11 11 12 12 12 11 11 10 10 10 10 11 11 nan
nan 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 15 15 14 14 12 11 8 7 7 6 7 8 9 9 8 6 5 5 4 4 4 5 8 11 16 17 14 11 10 11 12 11 11 10 10 10 10 10 10 9 10 10 11 11 10 9 9 10 11 11 11 11 10 10 10 11 13 14 13 11 9 7 5 5 5 6 7 7 7 7 8 8 8 8 8 9 9 9 9 10 10 11 12 12 13 13 15 15 15 14 12 10 9 8 8 7 6 6 6 6 6 7 8 9 10 11 11 11 10 9 7 5 3 2 3 4 7 9 11 10 10 10 11 11 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 9 9 8 8 9 9 10 12 13 14 15 15 14 14 12 10 9 7 7 6 7 9 10 10 9 7 6 5 4 4 4 5 7 11 15 15 13 11 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 8 9 9 10 11 11 11 10 10 11 11 12 13 13 12 10 7 5 4 3 4 6 8 9 9 9 9 8 8 9 9 9 9 9 10 11 11 12 11 11 12 13 13 14 14 14 13 12 12 13 14 14 13 13 13 12 12 12 13 13 14 15 15 16 16 15 13 11 9 7 8 9 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 11 13 14 14 14 14 13 12 10 9 9 8 7 7 9 10 10 10 8 6 5 4 4 4 5 6 10 14 14 13 11 10 10 10 9 8 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 11 11 11 11 11 10 11 11 12 13 13 12 10 7 5 3 3 3 6 8 9 10 10 9 8 8 8 7 8 8 9 10 11 11 11 11 10 10 10 10 11 12 13 13 14 15 16 18 19 19 19 18 17 17 16 16 16 17 18 19 19 19 18 18 17 16 14 13 12 11 10 10 10 11 12 11 11 10 10 10 10 10 10 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 8 9 9 10 10 10 9 9 10 10 10 9 10 11 12 13 13 13 13 12 12 11 11 10 9 7 7 8 9 11 10 9 7 5 4 4 4 5 6 9 12 13 13 11 9 9 9 9 9 9 9 10 10 11 11 12 12 11 12 12 11 10 9 9 12 13 13 13 12 11 10 10 11 12 12 11 9 7 6 4 3 3 5 7 8 8 8 8 7 7 6 6 7 9 10 10 11 11 11 11 10 9 8 8 9 9 10 11 12 14 16 17 19 19 20 20 20 20 21 20 20 20 20 20 20 20 19 19 19 19 18 17 15 12 11 10 10 11 11 11 11 11 10 10 10 10 9 10 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 11 12 13 13 12 12 12 12 12 12 9 7 6 7 9 10 11 10 8 6 5 4 5 5 5 7 10 13 14 12 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 10 11 13 14 15 15 13 11 10 9 9 9 9 9 8 7 6 6 4 4 3 4 4 5 6 7 7 7 7 7 8 9 10 11 11 12 12 12 11 9 8 7 7 7 7 7 9 10 12 13 14 15 16 18 19 19 20 21 21 20 19 18 18 19 20 20 21 22 22 21 19 16 14 12 10 10 10 11 11 10 10 10 10 10 9 10 nan
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nan 15 16 16 15 13 11 10 10 9 10 10 11 12 14 14 13 11 9 8 9 10 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 14 14 14 14 14 13 12 12 13 14 15 16 17 16 14 13 12 13 16 18 19 19 19 19 20 21 21 21 20 18 15 13 11 10 10 11 11 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 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 13 13 13 12 13 13 13 13 13 13 12 11 11 11 11 12 13 13 13 12 12 nan
nan 12 14 14 13 11 9 8 8 8 8 8 9 11 12 12 12 11 9 9 10 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 13 14 15 15 15 13 12 12 12 13 13 13 14 14 13 12 11 11 13 14 15 15 15 15 16 18 18 17 16 13 11 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 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 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 11 12 13 13 13 13 13 13 13 12 12 11 10 10 11 11 11 11 11 11 nan
nan 9 10 11 10 8 6 6 5 5 6 7 8 10 11 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 12 12 13 14 15 14 12 11 11 10 10 10 10 10 11 11 12 11 11 12 13 14 14 14 14 15 16 15 15 13 12 12 12 11 12 12 13 13 13 12 12 12 11 11 11 10 10 11 11 11 11 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 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 10 10 11 11 11 11 10 10 11 11 11 12 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 8 6 5 4 4 5 6 7 8 10 11 12 12 12 12 12 12 12 13 13 14 14 14 13 13 12 12 12 11 11 11 11 11 10 10 11 11 12 12 13 13 12 12 12 12 13 14 14 13 11 10 9 9 9 8 8 9 10 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 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 10 10 11 11 11 11 10 10 10 10 10 10 11 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 10 11 11 nan
nan 9 9 9 8 7 5 4 5 7 8 8 9 10 11 12 12 12 12 12 13 13 13 14 14 14 13 13 12 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 13 13 12 12 13 14 14 13 12 10 9 8 9 9 9 9 9 10 10 11 11 10 10 9 10 11 11 12 12 11 11 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 11 11 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 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 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 13 13 13 13 12 12 12 13 12 12 11 11 11 11 10 nan
nan 10 9 9 9 8 7 7 7 8 9 9 10 10 11 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 12 12 12 13 14 14 13 11 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 11 11 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 11 10 10 10 11 12 13 14 14 13 13 12 13 13 13 13 13 12 11 11 11 10 nan
nan 11 9 10 10 10 10 9 9 8 9 9 10 11 12 13 13 14 14 13 13 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 10 10 10 11 11 11 12 12 12 12 12 13 13 14 14 13 11 10 9 9 10 10 10 9 8 7 7 7 7 7 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 11 10 10 10 11 11 11 10 10 11 12 13 13 14 13 13 13 13 13 13 13 12 12 11 11 11 11 nan
nan 11 10 10 10 10 10 10 9 8 9 9 10 11 13 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 10 10 10 11 12 12 12 13 13 13 14 14 13 12 11 10 10 11 11 10 8 6 5 5 5 6 7 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 12 12 11 11 11 12 12 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 11 10 10 10 11 11 11 10 10 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 nan
nan 13 11 10 9 9 9 9 8 9 9 10 11 13 15 15 15 14 12 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 9 9 10 11 11 12 12 13 13 14 14 13 12 10 10 11 12 12 11 8 5 4 4 5 7 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 12 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 11 11 12 13 13 12 13 13 13 13 13 13 13 12 12 12 12 11 nan
nan 15 13 12 10 9 8 8 9 9 10 11 13 15 15 15 14 13 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 9 10 10 10 11 11 12 12 13 14 14 13 12 10 10 11 13 13 13 10 7 5 5 5 7 7 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 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 10 10 11 11 11 11 11 10 10 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 nan
nan 16 15 14 12 11 10 10 10 11 11 12 13 14 14 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 10 11 10 10 11 11 12 13 13 13 13 13 12 11 11 13 14 15 13 10 8 6 6 7 7 8 8 9 10 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 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 10 10 11 11 11 11 11 11 10 10 10 11 12 13 14 14 13 13 13 12 12 12 12 12 13 14 14 14 nan
nan 16 16 15 14 13 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 11 11 11 10 10 11 11 12 12 12 13 13 13 13 12 12 14 15 15 13 10 9 8 8 8 8 9 10 10 11 11 11 11 11 12 12 12 12 11 11 10 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 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 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 10 10 11 11 11 12 11 11 11 11 10 10 11 12 13 14 14 13 13 13 12 11 11 11 11 12 13 14 14 nan
nan 15 15 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 7 7 7 8 9 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 13 13 13 13 12 13 14 14 13 11 10 10 9 9 9 10 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 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 12 12 11 11 11 11 10 11 11 12 13 14 13 13 13 13 12 11 10 10 11 11 12 13 13 nan
nan 14 14 13 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 11 10 9 8 7 7 8 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 12 13 14 14 14 14 14 13 12 12 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 13 13 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 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 12 11 11 11 11 11 11 11 11 12 13 13 13 13 13 12 11 10 10 10 11 11 11 12 12 nan
nan 14 14 14 13 13 13 13 12 11 11 10 10 10 10 11 11 12 12 12 12 11 9 8 7 8 9 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 12 14 15 15 16 15 14 13 13 13 12 11 11 11 12 12 12 13 13 13 13 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 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 13 13 13 13 13 12 11 10 10 11 11 11 11 11 11 nan
nan 13 14 14 14 14 14 13 12 12 11 11 10 10 11 11 11 12 12 12 11 10 8 7 8 10 11 12 13 13 12 12 11 12 12 12 12 12 11 11 12 12 12 12 12 12 11 10 9 9 9 9 10 12 14 15 16 16 15 14 14 13 13 12 11 11 12 12 12 13 13 13 13 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 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 11 11 11 11 11 12 13 13 13 13 13 12 11 11 11 11 11 10 10 10 11 nan
nan 13 13 13 13 14 14 13 13 13 12 12 12 11 11 11 12 12 13 13 12 10 9 9 11 13 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 9 9 9 10 12 13 14 14 14 14 13 12 12 11 11 11 12 12 12 12 13 13 12 12 12 11 11 11 10 10 10 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 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 13 13 13 12 12 12 11 11 11 11 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 12 11 10 10 10 10 nan
nan 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 12 12 12 12 13 14 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 9 10 11 12 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 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 12 12 12 12 12 12 11 11 11 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 12 13 13 13 13 13 13 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 13 13 13 13 12 11 11 11 10 nan
nan 12 12 12 12 12 12 13 13 13 13 13 13 12 11 11 11 12 12 12 12 12 12 13 14 15 15 15 14 13 12 12 11 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 9 10 10 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 12 11 12 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 12 13 13 14 14 14 14 13 13 13 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 10 10 nan
nan 11 11 11 11 12 12 12 13 13 13 13 13 12 11 11 10 10 11 11 11 11 12 12 13 14 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 12 12 13 13 14 14 14 14 13 13 13 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 12 12 13 13 13 13 13 12 11 10 10 9 9 9 10 10 11 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 12 12 13 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 12 13 14 14 13 13 13 12 12 11 12 12 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 12 13 13 14 14 13 12 12 11 11 10 10 11 12 12 13 13 12 12 nan
nan 10 10 10 11 11 11 12 12 13 13 13 13 12 12 11 10 9 8 8 8 10 11 11 12 12 12 12 12 13 13 13 12 12 12 11 11 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 9 9 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 8 9 10 11 13 13 14 13 13 12 12 11 11 12 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 11 11 11 11 12 12 13 13 14 14 14 14 nan
nan 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 12 11 10 10 10 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 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 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 10 9 9 8 9 9 9 9 9 10 11 11 11 10 10 10 9 9 9 9 9 10 10 10 9 9 8 7 7 7 8 10 11 13 15 15 15 13 12 10 10 10 11 13 14 14 14 12 11 10 10 10 10 9 9 9 9 9 10 10 11 12 13 14 13 13 12 12 11 11 11 12 12 12 13 13 14 14 14 13 nan
nan 10 10 10 10 10 11 11 11 12 12 12 12 13 13 13 13 13 12 13 13 13 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 13 13 12 11 10 10 9 9 9 9 8 8 8 9 10 10 10 10 9 9 9 9 8 8 9 9 8 8 7 7 7 7 8 9 10 10 12 14 16 16 14 12 9 8 9 11 13 14 15 14 13 12 11 11 10 10 10 9 9 9 10 11 11 11 12 14 14 14 13 12 12 11 11 11 11 12 12 12 11 12 12 12 12 13 nan
nan 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 12 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 13 13 13 13 12 11 10 10 9 9 9 9 9 8 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 7 6 6 7 9 10 10 9 9 11 13 16 15 12 10 9 10 12 14 15 15 15 13 12 12 12 11 11 10 9 9 10 12 13 13 12 13 13 14 14 14 13 12 11 10 10 11 12 12 12 12 11 11 11 10 11 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 13 13 12 11 11 11 11 11 12 12 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 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 13 12 12 11 11 10 10 9 9 9 9 9 9 10 10 10 9 10 10 9 9 9 9 9 9 10 10 9 8 7 7 8 10 11 9 8 8 9 13 15 14 13 11 12 15 17 17 16 14 13 13 12 12 12 11 10 9 10 11 12 14 14 14 13 13 13 14 14 14 13 12 11 10 11 12 13 13 13 12 11 10 9 9 10 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 12 11 11 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 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 12 12 12 12 12 11 11 10 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 9 10 11 11 11 10 8 8 8 9 9 10 9 8 9 10 14 15 15 14 14 16 17 18 16 14 13 12 12 12 12 11 10 10 10 11 13 14 14 14 13 13 13 13 14 14 14 14 12 10 10 10 12 13 14 14 13 11 10 10 10 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 8 8 7 8 8 8 8 9 11 13 14 14 13 12 14 16 17 16 15 14 14 14 13 12 11 10 10 10 10 12 13 13 13 12 12 12 12 13 14 15 15 14 12 10 10 10 11 13 14 14 13 12 11 11 11 12 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 10 10 9 8 9 9 10 10 11 11 11 11 11 11 10 9 8 8 8 8 9 9 9 8 7 7 7 9 11 12 13 11 10 9 11 14 16 17 17 17 17 17 16 14 12 11 10 10 10 10 11 11 11 11 11 11 11 12 13 14 14 14 13 12 11 10 10 11 13 14 14 13 12 11 11 11 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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 1 2 1 2 2 3 5 8 11 14 16 15 14 18 23 26 27 27 26 26 28 29 28 25 21 19 15 10 6 6 6 5 4 4 5 5 7 8 8 6 6 9 11 11 10 10 11 12 14 16 17 18 19 21 20 19 19 17 14 9 5 2 0 0 0 0 1 2 5 6 10 14 17 19 19 16 18 19 20 22 24 22 30 39 41 31 26 28 31 35 37 41 47 55 60 59 55 54 51 50 50 51 57
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 11 14 13 11 10 11 13 14 17 19 21 23 25 26 27 28 29 30 33 32 31 30 29 27 24 21 17 16 15 15 15 17 17 16 15 13 10 11 13 13 11 10 10 11 13 14 14 13 14 16 17 19 21 21 22 23 24 23 22 18 13 10 7 4 1 0 0 0 0 0 1 2 5 10 13 14 12 12 15 18 20 21 22 20 20 20 21 23 28 31 33 35 37 44 62 72 72 68 65 71 75 77 75 70 65
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 11 15 16 36 45 42 31 26 25 23 21 21 21 20 21 21 21 22 25 25 31 52 62 36 29 27 24 22 18 16 13 13 13 13 16 19 19 16 12 10 9 9 9 8 7 6 6 6 6 7 7 8 9 10 11 12 14 17 19 19 19 19 19 17 14 11 9 7 3 1 0 0 0 0 0 1 3 5 6 12 10 10 11 15 20 22 22 20 19 20 24 25 30 35 37 41 53 91 102 96 93 107 128 136 126 109 96 88 76
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 1 3 6 9 14 16 41 67 77 62 35 26 20 16 13 11 10 10 10 11 13 14 15 19 39 60 35 23 21 22 20 17 15 16 17 20 21 19 18 16 12 7 4 5 6 6 6 5 3 3 3 3 4 6 7 7 7 8 10 11 14 17 19 19 18 19 17 15 14 12 10 6 3 1 0 0 0 0 0 1 1 3 10 8 6 5 9 16 21 21 21 21 25 30 33 37 40 43 44 47 61 84 112 136 167 195 201 177 132 114 103 89
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 0 0 0 0 0 0 0 1 2 4 5 9 24 42 49 25 14 10 8 6 5 3 3 3 3 4 5 4 7 8 11 17 11 14 19 23 24 23 20 20 30 44 49 28 19 14 10 5 3 4 6 7 9 9 8 4 3 3 4 5 7 7 6 6 9 11 15 17 18 18 18 17 16 16 17 15 11 8 5 3 1 0 0 0 0 0 0 1 1 1 1 2 6 10 14 18 23 30 35 38 39 40 40 36 41 46 58 88 138 170 191 205 213 213 167 144 126 110
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 2 5 10 11 12 13 14 5 3 3 4 4 4 4 4 4 3 2 2 2 4 5 5 5 9 14 19 24 27 27 22 20 33 50 28 11 11 13 11 6 4 5 5 6 7 7 5 3 3 4 5 8 8 7 6 5 7 13 17 18 18 18 16 15 15 16 18 15 11 8 6 4 1 0 0 0 0 0 0 0 1 2 4 5 11 17 22 25 26 31 34 36 37 37 39 39 43 48 61 88 117 145 172 196 216 237 208 175 148 125
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 1 2 3 5 5 7 7 5 2 1 1 0 3 5 6 6 8 11 15 21 27 27 23 16 14 23 12 10 12 15 14 9 5 4 5 6 6 6 5 3 3 2 3 6 6 6 6 5 6 10 14 18 23 27 21 18 17 16 16 14 10 8 5 2 2 2 2 1 1 1 0 0 0 1 5 10 16 20 20 20 24 26 28 32 35 36 37 37 38 38 37 44 60 96 142 187 213 227 205 172 138 117
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 2 1 1 2 3 3 4 4 6 7 8 11 18 25 24 20 13 7 5 7 10 15 18 16 11 9 8 10 12 13 8 3 0 0 0 1 1 2 3 5 6 7 9 13 19 33 31 22 18 17 16 14 13 10 8 5 4 5 4 3 3 2 0 0 0 0 1 4 8 12 13 14 27 28 27 31 36 37 38 39 35 30 26 29 29 41 69 111 135 122 114 122 122 100 111
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 3 3 3 4 4 5 7 7 7 9 15 20 21 20 18 14 8 7 11 14 14 14 13 12 12 12 13 11 6 2 0 0 0 0 0 0 1 3 3 3 3 8 26 62 34 14 9 10 12 13 13 11 9 8 7 8 6 4 2 1 0 0 0 1 2 3 5 9 14 16 21 25 31 37 42 42 44 42 38 33 28 28 29 36 48 64 66 63 62 65 74 86 133
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