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 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 7 7 7 8 9 9 9 8 7 7 7 7 8 8 9 8 8 8 7 7 8 9 10 10 10 9 8 7 8 8 9 9 8 8 8 7 7 8 8 8 8 9 8 8 8 7 7 7 6 6 7 7 7 7 7 7 8 10 10 9 8 8 9 9 10 12 13 14 13 10 7 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 7 nan
nan 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 7 6 6 6 7 7 7 7 7 7 8 9 10 10 8 8 8 8 9 10 12 14 15 13 10 8 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 nan
nan 7 7 7 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 7 8 9 9 9 8 8 7 6 6 6 7 7 7 7 7 7 9 10 10 9 8 8 8 8 9 11 14 15 15 13 10 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 4 4 4 5 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 nan
nan 7 6 7 7 8 8 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 7 6 6 6 6 7 7 7 7 7 8 10 11 10 9 8 8 8 9 10 13 15 15 14 11 9 7 6 5 5 5 6 6 6 6 6 5 5 4 4 4 4 5 6 6 6 6 5 4 4 4 4 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 nan
nan 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 8 8 8 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 8 9 9 8 7 7 7 6 6 6 6 7 7 7 8 10 11 11 11 9 8 8 8 10 11 14 15 15 13 11 8 7 6 6 6 7 7 7 6 6 5 5 4 4 4 5 6 6 7 7 6 5 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 5 5 6 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 7 7 7 7 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 8 9 9 8 7 7 7 6 6 6 6 6 7 7 8 9 10 11 12 11 10 9 9 9 10 12 14 15 15 13 10 8 6 6 7 7 7 7 6 6 5 5 4 4 5 5 6 7 7 7 6 6 5 4 4 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 5 4 4 5 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 9 9 8 7 7 7 8 8 8 7 7 8 9 9 8 8 7 7 8 8 7 7 7 7 7 8 9 8 8 7 7 7 6 6 6 7 7 7 8 8 9 10 11 12 12 11 10 9 10 11 13 15 16 15 13 9 7 6 7 7 7 7 6 6 5 5 5 5 5 5 6 7 7 7 7 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 5 4 4 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 8 8 8 8 9 8 8 8 9 9 9 9 9 9 8 9 9 10 10 10 9 9 8 8 7 7 7 7 8 9 9 9 8 8 8 8 9 9 8 7 7 8 8 8 7 7 6 7 8 8 9 8 8 7 7 7 6 6 7 7 8 8 8 8 9 10 11 12 12 11 10 10 11 11 13 15 16 15 11 8 6 6 7 7 6 6 6 6 5 5 5 5 5 6 7 7 7 7 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 nan
nan 8 6 5 4 5 5 6 7 8 8 7 6 6 6 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 8 8 8 7 7 7 8 8 9 9 8 8 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 6 7 7 8 8 8 8 8 8 9 11 12 12 12 12 12 11 11 14 16 16 13 9 7 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 7 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 5 nan
nan 9 8 6 5 4 5 6 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 7 6 6 7 7 7 7 7 7 8 8 8 9 10 11 11 12 13 12 11 13 15 16 15 12 9 7 7 6 6 6 6 6 6 6 6 5 6 6 7 7 7 7 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 5 5 nan
nan 9 9 8 6 5 5 6 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 8 8 8 7 7 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 7 7 7 7 7 8 8 8 8 7 6 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 6 7 6 6 7 7 7 7 7 8 8 8 8 9 9 11 12 13 12 13 14 15 16 15 11 9 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 nan
nan 8 9 8 6 5 6 6 7 7 7 7 7 7 8 8 8 9 10 10 10 10 9 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 7 7 7 7 6 7 7 7 8 7 6 6 7 7 8 8 9 8 7 7 8 8 9 9 8 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 12 13 14 14 15 17 16 14 12 10 8 7 6 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 nan
nan 6 7 8 7 6 6 6 6 7 7 7 7 7 7 8 9 10 10 10 10 10 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 8 8 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 10 12 14 15 16 17 17 16 14 12 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 nan
nan 4 5 6 6 6 6 6 7 7 7 7 7 7 7 8 9 9 9 9 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 6 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 6 7 7 7 7 7 7 7 8 8 9 10 13 15 17 18 18 17 16 15 13 12 10 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 nan
nan 4 4 4 5 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 6 6 5 6 6 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 7 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 10 12 15 17 18 17 16 15 15 14 13 12 11 10 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 nan
nan 5 4 4 5 5 6 6 6 7 7 7 8 8 9 9 8 6 5 6 6 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 9 9 8 7 6 6 6 7 8 8 8 8 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 8 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 9 12 15 17 17 16 15 14 14 15 15 14 13 12 11 11 10 10 9 8 8 8 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 7 6 5 5 5 5 5 5 6 7 7 8 8 9 9 7 5 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 7 8 9 9 9 8 6 6 7 7 7 8 8 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 8 8 9 10 9 8 7 7 7 7 7 6 7 7 7 6 6 6 6 6 6 6 6 7 8 11 14 15 15 13 13 13 14 15 15 15 15 14 14 13 12 11 10 9 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 8 7 6 5 5 5 5 6 6 6 7 7 9 9 9 7 5 5 5 5 5 6 6 6 6 7 7 8 8 8 7 7 6 6 6 7 8 9 9 8 7 7 6 6 7 7 8 8 8 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 7 9 12 14 14 13 12 12 12 13 14 15 15 15 15 15 14 13 12 11 9 8 8 7 7 6 6 6 7 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 9 7 6 6 6 6 6 6 7 6 6 7 8 9 8 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 6 5 6 7 8 9 9 8 7 7 6 6 6 7 7 8 8 9 9 9 8 8 7 8 8 9 9 9 9 8 8 8 8 8 8 7 8 9 9 8 8 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 10 12 13 13 13 12 12 12 13 14 14 14 14 15 15 15 15 13 11 9 9 8 7 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 5 5 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 9 8 6 6 6 6 7 8 8 8 7 7 8 9 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 8 9 10 9 8 7 7 6 6 6 7 7 8 9 10 10 9 8 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 10 12 12 13 13 13 13 14 14 14 13 13 13 14 15 15 14 13 11 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 nan
nan 9 8 7 6 5 6 7 8 9 9 9 9 9 9 8 6 5 6 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 7 7 6 6 7 8 9 10 9 8 7 7 7 7 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 7 8 9 10 11 12 12 13 13 15 16 16 15 13 12 12 13 14 15 14 12 11 9 8 7 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 9 8 7 6 5 6 7 8 9 10 10 10 10 9 8 5 5 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 9 8 7 8 8 9 9 9 9 8 7 7 7 7 6 6 6 6 7 8 9 9 10 10 11 11 12 13 15 17 17 15 13 12 11 12 13 14 14 12 10 9 8 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 nan
nan 9 9 8 6 6 6 7 7 9 10 10 10 10 10 8 6 6 7 8 9 9 8 8 8 8 7 7 7 8 8 7 6 7 7 7 7 6 6 6 7 9 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 13 16 18 17 15 13 11 11 12 13 13 13 12 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 nan
nan 10 9 9 7 6 6 7 7 8 9 10 10 10 9 8 6 6 7 8 9 9 8 8 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 8 9 10 11 11 11 12 12 11 10 10 9 9 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 9 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 9 11 14 17 18 18 16 13 11 11 11 12 12 12 11 10 9 8 8 8 7 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 5 nan
nan 10 10 9 8 7 7 7 8 8 9 9 10 9 9 8 7 7 7 8 9 8 7 7 7 6 6 6 7 9 10 11 11 10 9 8 8 9 9 8 8 7 6 6 7 9 10 11 11 12 12 11 10 9 8 8 8 8 8 7 8 9 10 10 11 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 8 8 8 8 7 7 7 7 6 6 6 6 7 8 9 11 14 17 19 19 17 14 12 11 11 12 12 11 11 10 9 9 9 8 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 10 10 9 8 7 7 8 9 9 9 9 9 9 9 9 8 7 8 8 8 8 7 7 7 6 6 6 7 9 10 11 12 11 10 9 9 10 10 10 9 7 6 5 5 6 8 9 10 12 11 10 9 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 10 9 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 10 14 17 20 21 19 15 13 12 12 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 9 8 7 7 8 9 10 10 10 9 9 9 10 9 8 8 8 8 8 7 7 7 7 7 8 9 9 10 11 10 10 9 8 9 10 10 11 10 8 6 5 5 5 6 7 9 10 9 7 7 8 8 8 8 8 7 6 5 5 6 7 8 9 10 10 10 9 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 7 8 9 9 9 9 8 8 8 7 7 8 8 7 7 7 7 7 6 6 6 7 7 8 10 13 17 21 22 20 18 16 14 14 13 13 12 11 10 10 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 9 9 7 6 6 8 9 9 10 10 10 10 10 8 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 9 8 7 7 8 9 10 11 11 9 7 5 6 6 7 7 8 9 7 6 6 7 8 9 9 8 7 6 5 4 5 6 7 9 10 10 10 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 8 9 10 10 10 10 9 8 7 8 8 8 8 7 7 7 6 6 7 7 7 8 9 10 13 17 20 22 22 20 19 19 20 19 17 14 12 10 10 10 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 9 9 7 4 5 6 7 8 9 10 11 11 10 8 6 6 7 8 8 8 9 9 9 8 8 9 9 9 8 7 6 6 6 6 6 7 9 10 9 8 7 7 8 8 8 9 10 9 7 7 7 8 9 9 9 8 8 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 8 8 7 8 9 10 11 11 11 10 8 8 8 8 8 7 7 8 7 7 6 6 7 8 8 9 9 10 12 15 18 20 21 20 21 24 26 25 22 17 13 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 7 5 5 6 6 8 9 11 12 11 10 8 6 5 6 7 8 9 9 9 8 7 7 7 7 7 7 6 6 5 5 4 5 5 7 8 9 10 9 9 9 9 9 9 11 11 9 7 7 8 9 9 9 9 9 9 9 10 10 8 7 7 8 9 10 11 10 9 9 9 8 8 8 8 8 8 8 8 9 8 8 9 9 8 8 8 9 10 11 11 11 10 9 9 9 8 8 8 8 9 9 8 7 7 7 7 8 9 9 9 10 11 13 15 16 17 18 20 24 27 26 22 17 14 12 12 11 10 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 7 7 7 7 7 8 10 11 11 10 9 7 6 5 6 8 9 10 10 9 8 7 7 7 7 7 7 7 6 4 4 4 5 5 7 9 10 10 10 10 10 10 10 10 9 7 6 7 9 9 9 9 8 8 8 9 10 10 8 6 5 6 8 9 11 11 10 10 9 9 8 8 8 8 8 8 9 8 9 9 10 10 10 9 9 9 10 11 11 11 11 10 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 9 9 9 9 10 11 12 13 13 14 18 22 24 22 19 17 15 14 13 12 10 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 nan
nan 10 10 9 9 9 9 9 8 8 6 6 8 9 9 10 10 9 7 5 6 8 9 10 11 11 10 9 8 8 8 8 8 8 7 6 5 5 4 5 5 7 8 9 10 10 10 11 11 10 8 7 7 8 9 9 8 7 7 6 6 7 8 8 7 6 5 5 6 8 10 12 12 12 11 11 10 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 10 9 9 9 9 8 8 9 9 8 9 9 10 10 11 12 13 15 17 19 18 18 17 17 16 16 14 12 11 10 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 11 10 10 10 10 10 9 9 7 6 6 7 7 8 9 10 10 9 7 6 7 9 10 11 12 11 10 9 9 8 8 8 8 8 8 7 6 5 4 5 5 5 6 7 9 10 10 11 10 9 8 8 9 8 7 6 5 6 6 7 7 8 8 8 7 6 6 6 8 10 11 12 13 14 13 12 11 10 9 8 8 9 9 9 10 9 9 9 10 11 11 11 10 10 11 11 11 11 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 11 14 15 16 15 16 16 15 16 17 17 17 15 13 11 10 9 9 9 9 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 nan
nan 10 10 10 10 10 10 9 8 7 6 6 7 7 8 9 10 11 11 9 8 8 9 11 12 13 12 11 10 9 9 8 8 8 8 8 8 7 6 5 4 4 4 4 5 7 8 10 10 11 10 10 9 8 7 5 4 4 5 7 8 8 8 9 9 8 7 7 7 7 8 9 10 12 14 14 14 12 11 10 9 9 9 9 10 10 9 9 8 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 8 11 13 14 15 15 16 17 16 15 15 17 17 17 15 13 11 10 10 10 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 10 10 9 10 10 10 9 8 8 7 6 7 7 7 8 10 11 12 11 10 10 10 11 12 12 12 11 10 10 9 9 9 8 8 8 7 7 7 6 4 3 3 4 5 6 7 8 9 10 11 10 9 8 6 5 4 4 4 5 6 7 7 8 8 8 7 8 8 7 7 7 8 10 12 12 13 12 11 10 9 10 10 10 10 10 10 10 9 10 11 11 10 9 9 9 10 10 10 10 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 8 11 13 13 13 14 16 18 19 17 16 16 16 17 17 15 13 12 11 10 10 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 11 11 10 10 10 10 10 9 8 8 8 7 7 7 8 9 10 11 12 11 10 10 10 11 11 10 11 11 10 10 9 9 9 9 8 7 7 8 7 5 3 3 4 5 6 7 7 8 10 11 12 10 8 6 5 4 4 3 3 3 4 5 5 6 7 8 9 9 9 8 7 6 8 9 10 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 9 8 7 8 9 10 10 10 10 11 11 11 11 10 9 8 8 8 9 9 9 9 10 9 8 6 6 6 8 11 12 11 10 11 13 17 20 20 19 17 16 16 17 17 15 14 13 12 10 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 nan
nan 11 11 10 10 10 10 10 10 10 9 9 8 7 7 7 7 8 9 10 10 10 9 9 9 9 9 10 11 11 10 9 9 9 9 8 7 8 9 9 6 4 3 4 6 6 6 7 7 9 11 12 11 9 7 6 6 5 4 3 3 3 4 4 5 6 8 9 10 9 8 8 7 8 8 9 10 10 11 12 12 11 11 11 11 10 10 9 10 10 10 10 9 8 7 7 8 8 9 8 9 9 10 11 11 10 9 8 8 8 8 8 8 9 10 10 9 7 6 5 7 9 11 10 8 8 10 13 17 19 20 19 16 15 16 16 16 15 14 13 11 10 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 nan
nan 11 10 10 10 10 10 10 11 11 11 10 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 10 11 11 9 8 8 8 9 8 8 8 10 11 9 6 5 5 6 6 6 6 7 8 10 12 12 11 10 9 9 7 5 5 5 5 4 4 4 6 8 9 8 8 7 7 7 7 7 8 9 11 11 12 11 11 10 10 10 10 9 9 9 10 10 9 9 8 8 7 7 7 8 8 8 9 10 11 11 11 10 10 9 8 8 8 8 9 10 11 10 8 6 6 6 8 9 10 8 7 8 9 12 16 20 21 18 15 15 15 16 16 15 13 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 nan
nan 11 10 9 9 9 9 10 10 11 11 10 9 8 8 7 7 6 6 6 7 8 8 8 9 9 8 9 10 10 10 9 8 8 9 8 8 8 10 12 12 10 9 7 7 6 6 6 7 8 9 11 12 12 12 12 11 9 7 7 7 7 6 4 5 6 6 6 6 5 5 6 7 6 6 6 8 10 11 11 11 10 10 10 10 9 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 10 11 11 11 11 10 10 9 9 9 9 10 10 10 8 7 6 6 7 8 10 9 7 6 6 7 11 16 19 18 16 14 15 16 16 15 13 12 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 9 10 11 11 10 9 9 9 8 8 9 11 12 13 12 10 8 6 6 6 6 7 8 10 11 11 12 12 11 10 9 8 8 8 7 6 6 6 5 4 3 3 4 5 6 6 5 5 5 7 8 9 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 10 9 8 8 7 7 7 8 9 9 8 6 4 4 7 11 14 15 15 14 14 15 16 15 14 12 10 9 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
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nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 10 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 12 12 13 13 13 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 10 11 12 12 13 14 15 16 17 18 18 18 18 16 15 14 12 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 10 10 11 12 12 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 13 13 13 13 12 11 11 11 11 11 10 11 11 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 8 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 14 16 18 20 20 20 19 17 15 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 10 10 11 12 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 11 11 11 11 11 12 12 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 12 12 13 13 13 13 12 12 12 12 12 14 14 15 14 13 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 11 10 10 9 9 10 10 11 11 12 nan
nan 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 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 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 11 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 11 12 13 14 14 13 13 13 14 13 12 11 9 8 8 8 9 10 11 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 nan
nan 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 11 10 10 10 11 12 14 14 13 12 12 13 14 15 14 12 10 9 9 9 10 12 13 14 13 12 12 12 12 11 11 10 9 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 11 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 11 12 12 12 12 11 11 11 12 12 12 11 10 10 11 12 13 12 11 11 12 12 12 13 15 16 16 14 13 13 13 12 11 10 9 8 7 7 8 9 11 13 14 14 12 11 11 10 10 10 10 10 10 nan
nan 10 10 10 10 9 9 9 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 10 10 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 13 14 15 16 17 18 18 19 19 20 20 17 14 12 12 12 11 10 9 8 8 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 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 8 9 10 10 11 11 12 12 12 11 10 10 10 9 9 9 9 9 10 10 10 9 10 10 11 12 13 14 15 14 13 13 13 13 13 12 12 11 9 9 9 10 12 14 16 16 14 12 11 11 10 10 10 10 10 10 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 11 13 15 17 19 21 22 24 25 25 24 21 18 16 16 15 13 11 10 8 8 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 8 9 9 10 10 11 11 11 11 11 11 12 13 13 13 12 12 14 15 15 14 15 15 13 12 12 12 12 11 11 11 11 11 11 nan
nan 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 15 16 16 14 12 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 9 12 14 15 16 17 19 22 23 23 23 21 20 20 19 17 15 12 9 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 8 9 10 10 10 10 9 9 9 9 8 8 8 8 9 8 8 9 9 9 10 11 11 11 13 15 17 18 17 16 16 15 14 14 15 16 15 15 14 13 12 12 12 nan
nan 10 11 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 9 9 10 10 12 14 16 18 19 17 16 13 11 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 7 8 8 8 8 8 8 8 7 6 4 3 4 6 8 9 9 10 12 14 16 18 19 20 20 21 21 20 19 16 13 12 11 11 10 10 10 9 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 8 8 9 9 8 8 7 6 7 8 9 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 11 14 15 15 15 17 18 18 17 16 15 15 15 15 14 13 13 12 12 nan
nan 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 13 15 16 17 18 18 17 15 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 5 1 -1 -2 -0 2 4 4 5 6 8 11 13 14 15 17 19 20 21 22 21 20 18 17 16 15 13 12 11 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 8 9 9 9 9 8 7 7 7 8 9 11 11 10 10 9 9 9 9 9 9 10 10 9 8 8 7 8 8 8 8 8 9 10 10 10 10 12 14 16 16 14 10 7 6 8 10 11 11 12 12 12 nan
nan 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 14 15 17 17 17 15 13 11 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 4 0 -3 -4 -3 -2 -1 -0 0 1 3 6 8 10 11 12 14 16 18 20 21 23 23 23 22 21 20 18 16 14 12 11 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 9 11 11 10 10 9 9 9 9 9 10 11 11 10 9 8 7 8 8 9 9 9 9 10 9 9 9 10 11 11 10 7 3 2 2 5 7 9 10 11 12 11 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 13 14 15 16 16 14 12 9 8 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 4 2 0 0 0 -0 -1 -1 -2 -2 0 4 6 8 9 10 11 13 14 16 18 20 22 22 22 23 23 23 21 19 17 15 12 12 12 13 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 7 7 8 9 10 10 10 9 9 9 9 9 9 10 11 11 11 9 8 8 8 9 9 10 10 10 10 9 9 10 10 10 9 6 3 2 3 6 8 9 10 11 11 11 11 nan
nan 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 10 11 12 12 12 12 12 13 14 15 14 12 10 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 8 7 7 7 6 5 4 2 -2 -2 -1 1 4 7 8 9 9 9 10 11 13 16 17 18 19 20 22 23 23 23 23 22 20 18 17 16 15 14 14 13 13 12 12 12 12 12 11 12 12 11 11 11 11 11 11 11 11 10 9 9 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 11 11 11 11 9 8 9 9 9 10 10 10 10 10 10 10 10 9 7 4 1 1 2 6 9 10 10 11 11 11 11 11 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 10 12 12 12 12 11 11 12 13 14 14 13 11 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 10 10 10 10 10 11 11 7 3 0 -2 -0 3 6 8 9 9 8 8 8 9 10 11 12 13 15 17 19 21 23 25 25 23 21 18 16 15 15 15 14 14 13 13 12 12 12 12 12 12 11 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 10 10 9 9 8 8 9 9 9 10 9 8 8 8 8 8 10 11 11 12 11 9 9 9 9 10 10 10 10 10 10 10 10 9 7 3 -1 -2 0 3 7 9 10 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 10 11 11 12 12 11 11 11 11 12 13 14 14 12 10 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 11 11 10 9 7 5 7 12 16 16 13 8 2 -1 -0 1 4 7 9 8 7 6 6 6 7 7 7 8 9 11 13 16 18 21 22 21 19 16 14 14 13 13 13 13 12 12 11 11 11 11 11 10 9 10 11 12 12 11 11 12 12 11 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 10 10 9 8 8 9 9 10 11 10 9 9 9 9 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 6 2 0 1 3 6 8 9 10 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 8 8 9 10 11 11 11 10 10 10 10 10 12 14 15 14 11 8 8 8 9 9 9 9 8 9 9 9 8 8 9 10 11 11 10 9 9 9 10 10 10 9 7 4 0 1 7 12 15 16 13 8 3 1 -1 -1 1 4 4 4 3 2 3 3 4 4 4 5 6 8 10 12 14 16 18 17 16 15 13 12 11 11 11 11 10 10 10 10 9 9 9 9 10 11 12 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 9 10 11 10 11 11 10 10 11 11 10 11 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 9 9 8 8 8 8 9 9 10 11 11 12 12 12 12 nan
nan 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 8 7 6 8 10 10 10 10 9 9 9 8 8 10 13 15 15 12 9 7 7 8 8 8 8 7 8 9 9 8 9 9 10 10 10 9 8 8 9 9 9 9 8 7 4 1 2 5 8 10 12 11 9 7 5 1 -1 -2 -2 -1 -0 -1 -1 -1 -0 1 1 -0 0 3 6 7 9 10 11 13 14 15 16 15 13 12 11 10 9 9 8 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 10 9 9 10 11 11 10 10 9 10 11 11 10 11 10 10 10 10 10 10 10 10 11 11 11 11 13 15 16 14 11 9 8 9 10 11 11 12 12 12 12 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 10 8 6 6 7 9 10 10 9 9 9 8 8 7 9 11 14 16 14 10 7 6 7 8 8 8 7 8 8 9 9 9 9 9 9 8 7 7 8 8 8 8 8 7 7 6 6 7 8 8 8 8 9 9 10 9 7 5 2 0 -1 -1 -1 -1 -1 -0 2 1 -2 -4 -2 1 5 6 7 7 8 10 12 14 16 16 15 13 11 9 8 8 9 9 9 9 10 10 11 11 10 10 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 9 10 9 8 8 8 9 9 8 8 10 11 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 13 14 14 11 8 7 7 9 10 11 11 12 12 12 12 nan
nan 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 7 7 8 8 9 9 9 9 8 8 7 7 8 9 13 15 13 10 7 7 7 8 8 8 8 7 7 8 8 9 9 8 8 7 7 7 8 8 8 8 7 8 8 8 9 10 10 9 8 8 8 9 11 12 12 10 9 7 4 3 4 4 4 5 5 4 1 -1 -2 -1 1 3 4 4 4 5 7 10 13 15 16 15 12 9 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 11 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 9 10 11 10 9 8 7 8 7 7 9 11 12 12 13 12 11 11 10 9 10 10 11 11 11 11 11 11 11 11 8 6 4 4 7 9 10 11 12 12 12 12 12 nan
nan 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 10 9 7 6 6 7 8 9 8 8 8 8 7 7 7 8 9 11 12 12 10 8 8 8 7 7 7 7 7 6 7 8 8 8 8 8 7 7 8 8 8 8 7 7 8 9 10 11 11 10 9 8 9 10 10 11 12 13 12 11 10 9 8 7 7 7 8 8 7 6 5 4 3 3 3 4 3 2 2 3 6 9 12 13 12 10 8 8 8 9 9 8 8 9 9 10 10 10 10 9 8 7 8 9 11 11 10 9 9 9 9 9 9 9 8 9 10 10 9 9 9 10 10 10 11 11 11 11 10 9 9 9 8 8 10 11 12 12 12 11 11 10 9 9 10 10 11 11 11 11 11 10 10 9 7 5 4 5 8 10 11 12 13 13 13 13 13 nan
nan 8 8 8 9 9 9 8 8 8 8 9 9 10 11 11 10 10 10 9 8 6 3 4 5 7 8 8 8 7 7 7 7 7 8 9 10 11 11 10 9 9 8 8 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 7 7 7 8 9 10 10 9 8 6 5 8 12 13 14 13 12 11 11 11 10 9 8 7 7 8 8 8 8 8 8 8 7 7 7 7 6 5 5 7 9 10 11 9 8 7 7 8 8 8 8 8 8 8 9 10 10 10 10 8 6 6 7 10 11 11 10 10 10 10 10 10 11 11 11 11 11 9 8 8 9 10 11 11 11 11 11 11 10 10 10 9 9 10 10 11 12 12 11 11 9 8 9 9 10 11 11 11 10 10 10 10 10 10 9 7 7 9 11 13 13 14 14 14 14 14 nan
nan 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 8 8 8 7 5 5 5 7 7 7 7 7 7 7 7 7 8 10 11 11 10 9 9 9 9 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 10 9 8 5 2 1 6 12 15 17 16 13 12 11 10 10 9 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 10 9 9 9 9 10 9 8 8 8 8 9 10 11 11 10 8 7 7 9 11 11 11 10 10 11 11 11 11 11 11 11 10 8 6 5 5 7 9 9 9 10 11 11 11 10 11 11 10 10 9 9 10 11 12 11 10 8 7 8 9 10 11 11 11 10 9 10 10 11 13 12 11 10 10 11 13 14 14 14 14 14 14 nan
nan 9 9 9 9 9 9 8 8 8 7 8 8 8 9 8 8 7 7 7 6 6 5 5 5 6 7 7 7 7 7 7 7 8 9 11 12 11 10 9 9 9 9 8 6 6 7 8 8 9 9 9 9 9 10 10 10 9 8 7 7 8 8 9 10 10 9 7 5 0 0 5 10 14 17 17 15 13 10 9 8 8 7 7 7 9 10 12 11 9 10 10 10 9 8 8 10 11 13 14 13 13 13 12 11 11 12 12 11 10 9 8 7 8 8 10 11 11 10 9 9 9 11 12 11 9 8 9 10 10 9 9 9 9 8 6 5 4 4 5 7 8 8 8 9 11 11 11 10 11 10 10 9 8 8 9 11 11 11 9 7 7 7 9 11 11 11 10 9 9 9 10 11 12 12 12 11 11 12 13 14 14 14 14 14 13 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 4 2 2 2 5 6 6 6 7 7 7 7 7 9 11 14 14 12 10 8 8 8 8 6 6 6 8 9 9 9 8 9 9 10 11 11 10 9 8 8 8 9 9 9 9 9 9 8 4 0 1 4 8 11 14 16 16 14 10 7 6 7 7 7 8 10 12 13 12 10 10 10 9 5 4 5 6 9 11 12 12 12 11 11 11 11 12 12 10 8 7 6 6 7 8 9 9 8 8 8 9 11 12 11 10 8 8 8 8 7 6 6 7 7 6 5 4 4 5 6 8 8 8 8 10 11 12 11 11 11 11 10 8 7 8 9 10 12 11 9 7 7 7 9 10 10 10 8 8 9 9 10 11 11 12 13 12 11 12 12 12 12 12 12 12 11 nan
nan 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 5 4 2 0 1 4 6 6 7 6 6 6 7 8 10 13 15 15 12 10 9 9 9 8 7 7 8 9 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 10 8 4 0 1 4 7 10 13 15 16 15 11 8 7 7 8 8 8 10 12 13 11 10 11 11 9 4 2 1 3 6 7 8 8 9 8 8 8 9 9 9 7 6 5 6 6 7 7 7 7 7 7 7 9 10 10 10 10 9 9 8 7 5 5 6 7 8 7 5 5 5 6 8 9 10 10 10 11 12 12 11 11 11 11 9 8 7 8 9 11 12 11 10 8 7 7 9 9 9 9 8 9 10 11 11 11 11 12 13 12 11 10 10 10 10 10 10 10 9 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 3 1 1 3 5 6 7 6 6 6 7 8 11 14 15 14 12 11 11 11 10 9 8 9 9 10 10 10 9 10 11 11 11 10 9 10 10 12 13 13 12 11 10 9 9 10 8 3 0 1 4 8 10 12 14 16 16 14 11 9 9 8 7 7 9 11 12 11 11 12 12 10 7 4 2 2 4 5 5 6 7 7 6 6 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 9 8 9 9 10 10 9 8 7 7 8 8 9 7 7 7 7 8 9 10 10 11 11 11 12 11 10 10 11 10 9 8 8 9 10 10 11 10 10 8 7 8 8 8 9 9 10 11 12 13 13 13 13 13 11 10 10 9 8 8 8 8 8 8 8 nan
nan 8 9 9 9 9 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 5 3 2 3 5 6 7 6 6 6 7 8 11 14 15 13 11 11 11 11 10 9 9 9 10 11 11 10 10 11 12 12 10 8 7 7 7 10 13 14 14 14 12 10 10 10 7 2 -0 1 5 8 9 11 13 16 16 15 13 11 9 8 8 9 9 10 11 12 12 13 12 11 10 8 5 4 4 5 5 6 7 7 7 8 8 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 10 11 11 10 9 8 9 9 9 8 7 8 8 9 9 10 10 10 11 11 11 11 11 11 12 11 11 10 9 9 9 9 10 10 10 10 8 8 7 7 8 9 10 12 13 14 14 14 13 13 12 10 10 9 8 8 8 9 10 9 9 8 nan
nan 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 7 7 8 8 7 5 3 2 4 6 7 7 7 6 7 8 11 14 15 14 12 11 11 10 9 8 8 9 11 12 12 11 11 12 12 12 10 8 5 3 3 6 10 12 14 15 13 11 10 9 6 1 0 2 5 7 8 10 12 15 16 15 13 12 11 10 10 10 9 9 9 11 11 11 11 11 10 9 7 7 7 6 7 8 9 9 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 11 12 13 14 14 13 13 11 9 8 8 8 9 9 10 10 8 7 6 6 7 9 12 14 14 14 14 14 13 12 11 10 10 9 9 10 12 14 14 13 12 11 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 8 6 3 2 3 6 7 7 7 7 6 7 10 14 16 16 14 11 10 9 8 8 8 9 11 11 12 12 12 12 13 13 12 10 7 3 1 3 6 9 12 13 12 9 8 6 4 1 1 3 6 7 7 8 11 14 16 16 14 12 11 11 10 9 8 8 9 9 9 9 10 10 10 9 9 9 9 8 9 9 10 10 10 11 10 10 9 9 10 11 12 14 15 15 15 15 15 13 12 13 14 14 13 13 13 13 12 12 11 11 10 9 9 9 10 10 10 9 9 10 10 10 10 11 13 15 15 15 15 14 12 10 8 7 7 8 9 9 9 8 7 6 5 7 10 12 14 13 13 14 14 13 12 11 10 9 8 9 12 16 18 16 16 16 17 nan
nan 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 4 2 3 5 7 8 7 7 6 7 8 12 15 17 14 11 9 9 8 8 8 9 10 11 11 11 11 12 13 13 13 12 10 5 3 3 4 5 8 10 9 7 6 5 3 2 3 4 6 6 7 8 11 14 16 16 14 12 10 9 7 6 7 7 8 8 8 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 8 8 9 10 11 12 14 15 15 15 15 14 12 12 14 15 16 15 15 15 16 15 14 13 13 13 12 12 11 11 11 10 10 10 11 11 11 11 12 13 15 15 14 15 14 12 9 7 5 6 8 8 9 8 8 7 6 6 8 10 12 12 12 12 13 14 13 11 9 8 7 6 8 10 13 14 14 15 17 19 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
7 8 7 5 3 2 2 2 3 3 3 4 4 4 3 1 2 4 5 5 4 4 3 2 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 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 1 2 6 11 28 62 108 156 206 213 139 97 68 65 70 78 81 77 70 60 48 38 28 23 22 20 18 15 9 5 4 5 6 7 9 13 18 19 21 24 27 28 28 28 26 24 24 24 25 24 20 19 16 14 14 16 18 15 12 11 11 10 10 11 12 13 13 12 11 11 11 11 10 9 9 9 8 7 7 8 9 13 16 17 16 17 16 14 12 10 9 8 8 8 8 8 9 9 9 9 10 12 14 16 18
7 7 7 5 3 2 1 0 1 2 2 2 2 2 2 1 0 1 2 3 4 4 3 2 2 1 0 0 0 0 0 0 1 1 1 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 1 3 13 34 76 119 154 186 183 140 77 58 54 58 64 68 62 51 50 46 36 28 25 23 21 19 13 10 8 7 8 9 12 14 19 22 23 24 27 29 26 26 24 24 24 24 27 27 23 19 14 13 12 13 13 13 14 15 16 12 12 11 12 13 13 13 12 11 11 11 10 9 8 8 7 7 7 9 12 15 16 16 16 17 15 12 10 9 9 7 7 7 8 9 10 10 10 11 13 14 17 20 20
8 8 7 6 3 1 1 1 1 1 1 1 0 0 0 0 0 1 2 2 3 4 4 3 2 1 0 0 0 0 0 0 0 0 1 1 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 9 23 50 86 120 158 182 152 103 72 54 46 46 50 51 56 58 53 43 33 27 25 23 21 18 15 13 11 10 11 12 15 21 24 26 27 28 28 25 24 24 24 23 23 25 28 26 21 17 13 12 11 12 13 14 13 13 12 11 11 11 12 13 16 14 12 10 10 10 9 7 7 7 7 8 11 13 14 15 14 14 14 13 10 9 9 9 7 8 8 9 9 10 10 10 11 13 15 17 19 18
8 7 6 6 3 1 1 2 1 1 0 0 0 0 0 0 0 0 1 2 3 4 3 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 6 17 33 55 87 132 161 155 122 83 54 39 31 41 55 62 57 49 43 37 28 26 25 24 23 21 19 15 13 12 13 15 19 26 31 32 30 26 24 22 21 22 22 21 22 26 30 28 23 18 14 12 12 12 13 12 12 11 10 9 9 10 13 15 15 12 9 9 9 7 6 6 6 8 10 12 13 14 13 13 13 12 11 10 9 9 8 8 7 7 7 8 9 9 9 10 11 13 14 14 14
8 6 4 3 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 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 3 13 27 42 72 100 127 136 121 88 56 41 23 33 47 50 48 47 48 45 34 29 27 26 26 24 22 19 17 15 15 17 20 25 32 34 31 28 24 22 21 21 21 20 20 23 26 28 27 22 16 13 12 11 11 12 12 12 11 9 8 10 12 13 13 11 8 7 7 7 6 6 7 10 11 12 13 13 13 13 13 12 11 10 9 8 8 7 7 6 6 7 8 8 8 9 10 10 10 10 11
8 6 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 21 37 45 66 92 113 120 105 70 45 25 28 35 39 42 48 56 57 46 37 30 27 26 25 22 20 19 18 18 20 24 27 29 31 30 28 26 24 23 24 25 20 19 20 21 23 26 25 18 14 12 11 11 11 12 13 11 10 9 10 11 12 11 9 8 7 7 6 7 8 9 10 12 13 12 13 13 13 14 13 11 9 8 8 7 6 6 6 6 5 7 8 9 10 10 10 9 9 10
7 5 3 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 26 35 45 60 83 105 107 85 56 31 26 27 32 42 53 64 67 62 50 38 31 29 27 24 22 22 22 23 26 29 30 28 29 29 28 27 27 28 30 33 24 21 19 19 20 23 28 19 15 12 11 12 12 11 12 11 9 9 9 10 11 11 9 7 8 7 7 7 9 10 10 11 12 13 13 13 13 13 12 10 9 9 8 7 6 6 6 6 6 8 9 11 11 11 10 10 10 11
5 4 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 18 26 35 51 69 79 86 80 48 29 26 29 43 57 70 79 77 63 49 44 39 35 31 28 26 25 25 27 31 33 33 32 30 28 27 28 28 29 30 27 23 21 20 20 21 24 20 16 13 11 10 11 11 11 10 9 8 8 9 10 12 11 9 9 8 7 8 9 10 11 10 11 11 11 12 12 11 10 9 8 8 8 7 6 5 6 7 8 9 11 12 14 13 12 10 10 11
3 3 2 1 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 0 0 0 0 0 0 0 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 6 10 14 24 30 40 69 103 80 37 27 27 36 53 68 82 88 85 76 63 52 46 39 35 31 27 25 28 36 40 41 38 34 30 28 29 27 26 26 25 25 22 18 19 22 24 22 17 14 11 10 10 11 11 11 10 8 8 8 10 13 11 10 9 8 7 9 9 10 10 10 10 11 12 11 11 10 9 9 8 8 7 7 6 5 6 7 9 11 12 13 14 14 13 10 9 10
2 2 1 1 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 0 0 0 0 0 0 0 0 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 4 2 6 9 15 36 80 99 74 41 17 23 42 60 76 87 89 84 73 67 57 46 39 35 32 30 34 40 44 45 41 37 35 32 31 29 28 26 25 26 26 20 18 20 22 20 16 13 11 9 9 10 10 10 10 9 9 8 10 11 11 9 8 7 8 9 9 9 9 9 10 10 11 11 11 10 9 9 8 8 8 7 6 6 8 10 11 12 12 13 14 13 11 9 8 8
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 14 49 89 93 46 14 13 29 48 64 76 84 90 87 77 63 52 45 40 36 34 36 40 44 47 45 41 40 36 35 33 31 28 27 28 28 25 20 20 22 22 18 13 10 8 9 10 10 10 10 10 9 7 8 9 9 8 8 8 8 8 8 8 9 9 9 9 10 11 10 10 9 8 8 7 7 6 6 8 10 11 12 12 12 13 13 12 9 7 6 7
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12 11 6 2 1 5 11 12 12 5 1 0 1 1 0 0 0 2 4 4 6 8 8 9 9 10 9 6 4 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 12 25 36 50 58 61 67 72 78 82 81 63 50 47 51 67 96 133 152 140 114 89 74 67 60 50 45 40 35 31 30 30 28 26 24 21 19 18 17 16 15 13 13 13 13 13 12 12 10 10 11 12 11 10 8 7 8 9 9 9 10 10 11 12 12 10 10 10 10 10
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27 20 13 9 7 1 1 10 11 10 12 15 16 20 9 4 3 5 7 6 4 5 7 9 12 14 13 11 11 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 16 23 30 38 46 45 42 51 47 44 45 48 48 57 90 122 143 144 124 94 82 76 70 63 56 49 43 40 37 35 33 30 26 23 23 23 21 20 18 16 13 13 14 14 14 14 16 17 15 14 13 11 10 9 8 9 10 10 11 13 13 10 8 8 10 12 12
56 45 32 22 19 15 11 11 14 20 28 37 41 39 26 17 11 8 7 5 4 3 7 11 15 19 19 17 13 11 7 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 6 7 11 22 31 40 43 41 40 42 45 55 74 105 134 147 138 113 94 86 80 73 66 59 52 47 41 38 36 33 30 25 25 24 23 22 20 20 17 15 13 13 13 13 15 15 14 14 13 12 12 11 10 10 11 12 12 14 14 10 8 9 10 12 11
90 80 64 47 38 32 27 26 29 33 44 61 68 65 54 40 27 19 16 14 11 10 12 15 19 21 21 18 12 9 7 4 2 1 0 2 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 31 42 43 39 37 43 53 64 86 116 140 150 137 119 103 91 83 77 70 61 52 46 42 40 37 35 30 28 26 25 23 22 22 20 19 17 16 14 13 13 12 13 14 13 13 14 14 15 16 14 13 13 15 15 12 11 11 11 11 12
130 116 101 85 73 64 57 55 54 53 59 80 90 90 82 67 52 40 30 27 23 22 23 24 23 20 19 15 9 7 6 5 5 4 3 3 6 9 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 33 40 41 38 39 48 58 72 98 127 153 157 147 128 107 92 86 78 70 61 53 49 46 41 39 36 34 31 27 25 24 23 22 21 20 18 14 12 12 13 15 16 14 14 15 16 17 16 14 14 15 16 15 13 13 14 13 14 16
172 153 135 119 108 103 101 94 87 81 77 85 93 100 102 97 85 68 51 39 35 33 32 29 25 17 11 6 4 2 2 2 3 4 5 4 6 10 12 10 6 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 6 21 33 38 44 43 45 54 66 84 106 141 160 160 147 126 100 92 86 78 70 62 55 52 47 44 41 39 36 32 29 26 24 23 22 21 19 16 14 15 16 18 17 17 17 17 17 18 16 15 15 16 16 15 13 13 15 16 18 21
182 177 167 155 149 144 142 125 110 103 98 99 104 113 123 126 119 105 85 64 49 40 34 28 21 18 7 2 0 0 0 0 0 2 4 6 7 9 11 12 10 4 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 2 10 21 29 40 48 50 53 58 72 96 129 158 172 166 147 118 102 93 85 78 70 60 57 53 50 46 41 39 37 34 29 25 24 25 23 21 18 17 17 19 20 19 19 19 19 18 18 17 18 18 18 17 15 11 13 16 19 22 24
198 213 210 195 187 177 166 152 138 128 123 122 130 137 149 156 151 137 114 83 56 33 23 24 23 19 11 6 2 0 0 0 0 2 5 7 7 8 11 11 9 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 25 34 44 50 54 53 65 87 118 154 181 175 159 134 114 100 90 83 76 69 63 59 55 52 45 43 41 38 33 27 25 24 23 22 20 19 21 23 23 22 21 20 19 19 20 20 22 22 21 20 19 14 16 20 23 26 25
138 193 224 215 209 206 201 192 180 167 155 152 162 172 182 188 183 165 130 92 59 31 15 15 25 28 17 7 2 1 0 1 2 5 7 7 7 8 10 11 10 10 9 8 5 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 8 18 28 40 50 56 58 66 83 109 144 168 165 153 136 118 106 93 87 82 75 69 64 59 54 51 48 44 40 37 32 28 25 24 23 21 21 21 24 26 25 22 20 21 21 23 25 25 25 24 22 20 18 19 23 26 27 25
51 105 167 191 200 207 213 217 216 210 196 190 196 203 210 212 207 191 147 96 57 30 14 12 24 32 24 13 6 4 4 5 6 9 9 9 9 8 9 9 8 8 10 12 12 8 4 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 1 4 13 37 46 55 63 72 85 103 126 141 147 142 131 120 111 99 92 86 80 74 69 64 60 55 51 48 43 40 37 34 31 28 24 22 22 22 24 25 23 22 23 26 26 27 27 27 27 25 23 22 23 26 27 28 28 26
8 30 72 117 155 185 206 222 235 243 239 231 228 229 230 227 221 215 170 117 68 33 19 22 29 29 27 21 15 12 11 11 11 12 13 13 12 11 11 9 7 3 3 9 12 12 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 40 54 66 76 84 95 108 119 128 132 124 117 109 101 96 91 86 79 73 69 65 60 54 52 47 45 40 36 34 31 27 25 24 24 24 24 22 25 28 30 31 30 29 28 28 25 22 21 23 25 27 28 26 24
3 8 19 50 97 146 187 223 253 271 271 265 260 254 247 238 229 225 194 148 99 59 37 36 41 35 30 26 23 19 17 17 17 16 16 16 13 11 12 10 5 1 1 3 5 7 7 4 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 13 33 52 65 74 83 91 97 102 110 119 117 113 106 99 93 91 91 86 81 74 66 61 56 55 51 48 43 38 37 34 32 30 28 27 24 21 23 27 31 32 32 32 32 31 29 25 21 21 25 27 28 27 24 20
1 4 8 22 46 93 146 198 242 264 271 274 275 270 260 248 236 226 203 172 133 92 59 56 44 38 36 34 31 27 22 23 23 21 19 16 14 11 11 11 8 4 1 0 1 2 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 30 52 63 75 85 91 94 95 99 104 106 107 105 101 95 92 91 90 88 80 71 65 61 59 53 49 46 44 42 38 36 34 32 30 27 24 27 30 33 35 34 32 32 32 30 26 24 28 32 34 33 30 27 23
0 1 3 7 15 41 83 133 179 213 241 254 262 265 262 251 240 231 216 194 164 129 96 81 62 53 53 54 50 45 32 28 25 20 16 13 13 10 7 6 5 2 0 0 0 0 0 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 3 11 28 51 67 78 87 96 100 95 97 99 99 98 96 94 93 91 91 92 90 85 77 70 64 60 56 53 50 46 44 42 40 37 34 34 30 29 30 32 35 36 35 33 32 31 30 28 28 33 38 40 38 34 30 30
0 0 0 0 5 16 40 76 117 161 203 224 240 253 262 261 255 248 242 233 211 177 143 120 103 90 83 77 69 58 41 28 18 11 6 5 4 2 1 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 1 6 10 15 29 50 66 78 87 96 103 100 100 98 96 94 89 85 82 83 85 88 89 87 82 77 69 62 60 59 57 56 51 46 42 39 36 36 33 31 31 32 35 36 36 34 32 30 27 29 31 36 41 44 41 35 31 32
0 1 1 2 4 8 20 41 71 113 160 198 232 261 279 283 281 274 267 254 234 209 183 162 143 124 111 104 89 71 49 28 14 6 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 1 5 13 20 30 45 59 72 83 93 102 107 107 102 95 90 85 80 74 73 76 81 85 85 82 78 72 65 61 61 61 58 54 50 47 45 39 37 34 32 31 31 35 35 33 31 30 28 27 29 31 36 43 45 42 36 30 29
1 3 4 5 8 10 15 22 38 74 115 161 210 256 290 302 303 298 290 278 262 242 223 210 201 190 178 166 140 105 72 38 18 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 22 33 46 61 75 85 97 108 115 115 107 97 87 81 75 71 69 70 74 79 79 78 75 72 69 66 64 63 61 58 55 55 54 49 45 40 38 37 39 38 34 31 30 30 29 30 31 32 34 40 41 40 36 31 29
3 7 10 15 16 18 21 23 32 48 70 100 136 173 210 261 280 287 289 287 279 262 254 252 256 257 253 239 205 155 109 67 37 21 6 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 1 3 13 30 41 54 68 80 91 111 122 124 119 111 100 89 79 73 70 68 67 67 69 70 69 68 68 71 72 71 69 66 63 60 63 62 58 53 51 54 52 48 43 38 34 34 33 33 34 34 33 33 34 36 37 36 34 33
5 10 15 20 20 21 24 26 31 33 37 47 63 84 113 156 196 230 255 270 275 260 257 260 270 279 280 268 237 188 140 97 60 30 9 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 3 13 35 51 65 78 86 96 112 124 126 121 111 98 87 77 70 67 66 64 62 60 59 59 59 63 69 74 77 78 76 73 68 68 70 76 79 77 66 56 49 45 42 39 38 37 37 37 37 36 34 32 34 36 37 37 38
6 9 11 18 19 17 17 17 20 22 24 27 35 47 66 94 124 144 159 175 194 203 200 198 200 204 207 210 202 173 136 97 59 26 6 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 34 55 72 83 89 96 107 117 121 117 109 96 85 76 69 62 61 59 56 53 52 50 52 58 66 75 83 87 86 83 79 76 77 82 81 75 67 58 52 51 48 43 40 40 41 40 40 38 37 36 36 37 39 39 39
4 3 4 10 11 8 6 5 6 7 10 13 18 26 34 41 44 43 48 60 67 72 79 83 84 82 77 89 99 94 79 58 36 17 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 34 58 80 89 95 103 112 119 120 110 104 93 80 69 62 55 53 51 49 47 46 45 48 54 65 77 89 97 95 89 85 81 79 79 75 71 68 64 59 57 54 51 50 49 49 47 44 42 40 38 35 34 37 38 38
2 3 4 5 5 3 2 1 1 1 2 4 6 8 9 8 6 6 8 11 11 13 16 18 19 18 14 15 20 23 21 16 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 11 29 59 88 102 109 114 120 123 118 105 95 83 68 56 55 48 43 41 41 42 40 42 46 54 66 82 96 103 100 93 88 85 85 82 78 74 72 70 66 62 61 61 60 58 55 52 49 48 47 40 36 33 34 35 33
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