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 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 6 6 6 6 7 8 9 9 9 8 7 6 6 6 7 9 10 10 9 9 8 8 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 7 7 7 7 8 9 10 10 10 8 6 6 5 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 6 6 6 6 6 6 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 nan
nan 7 7 7 7 7 7 6 6 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 7 7 7 7 8 9 9 9 8 7 6 6 6 7 8 9 10 10 9 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 7 8 9 10 11 10 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 5 5 5 5 6 6 6 6 6 6 6 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 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 6 6 nan
nan 7 8 8 8 8 7 6 6 6 6 6 6 6 7 7 7 7 6 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 5 5 5 5 6 8 9 8 8 8 9 9 9 8 6 6 6 7 7 8 9 9 10 9 9 8 8 8 8 8 8 8 9 10 9 9 8 7 6 6 7 7 8 8 7 7 7 7 7 8 8 7 7 7 7 8 9 11 11 10 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 6 6 6 6 6 6 6 6 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 nan
nan 7 7 8 8 8 7 6 6 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 8 9 9 8 8 8 8 9 9 8 7 7 7 7 7 8 8 9 10 9 9 8 8 8 8 8 7 8 8 9 10 9 8 7 6 6 7 7 8 8 8 8 7 7 8 9 9 9 8 7 7 7 9 10 11 11 10 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 5 6 6 7 7 7 7 7 6 6 6 7 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 5 5 6 6 6 5 nan
nan 7 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 9 9 10 10 9 8 8 9 9 9 8 8 8 8 8 9 9 8 8 7 7 7 7 8 9 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 9 10 11 11 10 9 8 8 8 9 11 12 12 10 8 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 5 5 5 5 6 6 5 nan
nan 7 6 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 10 10 10 11 11 12 11 10 10 11 11 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 9 9 9 9 9 9 8 7 7 7 8 8 9 8 8 7 7 7 7 6 6 6 7 7 8 8 9 10 12 13 12 11 10 9 8 9 10 12 13 13 11 8 7 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 7 7 6 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 11 11 11 12 12 12 11 10 11 10 10 9 8 8 8 8 7 8 8 8 8 8 7 7 7 8 8 9 8 8 8 9 9 8 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 7 8 8 9 10 12 13 13 12 11 10 10 11 12 13 13 12 10 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 8 6 6 7 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 8 8 9 9 10 9 8 8 8 9 10 10 10 10 10 10 10 9 10 10 9 8 8 8 7 6 6 7 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 6 6 5 5 5 6 7 8 8 9 10 11 12 13 12 12 11 11 11 12 13 13 12 10 8 7 6 6 6 6 6 6 6 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 5 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 8 6 6 6 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 10 10 11 10 9 8 8 9 9 9 9 8 7 7 7 8 7 8 8 8 7 7 6 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 6 6 7 7 8 8 8 7 7 7 6 6 5 6 6 7 7 8 9 9 11 12 13 13 13 12 11 11 11 12 13 12 10 8 7 7 6 6 6 6 6 7 7 8 8 8 7 7 7 6 6 6 6 6 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 9 7 6 5 6 7 8 8 8 7 7 7 7 7 7 8 8 8 8 9 10 10 11 11 10 9 8 8 8 8 7 6 6 5 5 5 5 6 6 6 7 6 5 5 5 6 6 6 6 6 6 7 8 9 9 9 9 8 8 7 7 7 7 8 9 9 8 7 6 6 7 8 8 8 8 8 7 6 6 6 6 6 6 7 8 8 9 9 10 11 12 12 12 12 11 11 11 12 12 11 10 8 7 7 6 6 5 6 6 7 7 7 8 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 6 5 5 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 9 8 6 5 6 7 8 8 7 7 7 7 7 6 7 7 8 9 9 9 9 10 10 9 9 8 7 7 6 5 5 5 4 4 4 4 5 5 6 6 6 6 5 5 6 6 6 6 5 4 5 6 8 8 8 8 9 9 8 7 7 7 7 8 9 9 9 8 7 6 7 8 8 9 9 8 7 7 7 7 7 6 6 6 7 8 8 8 8 9 9 10 11 12 12 11 11 11 12 13 12 10 9 8 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 8 8 7 7 6 6 5 5 6 5 5 5 6 6 6 6 6 6 6 7 6 6 5 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 8 8 7 6 6 7 8 8 7 7 7 7 7 7 7 8 9 10 9 9 9 8 8 8 7 7 7 6 6 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 5 6 7 7 7 7 8 8 9 8 7 7 6 7 7 8 9 9 9 8 8 8 8 8 9 9 8 8 7 8 8 8 7 6 6 7 7 8 8 8 8 8 8 10 11 13 13 12 11 12 13 13 12 11 10 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 5 6 6 7 6 6 5 5 6 6 6 6 5 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 7 8 7 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 6 6 7 6 6 6 6 6 6 5 6 7 6 6 6 6 6 7 7 7 8 8 9 8 8 7 7 8 8 8 7 7 8 8 9 9 8 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 8 10 12 14 14 14 13 13 13 13 13 12 11 9 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 6 5 5 5 6 6 6 6 5 5 5 6 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 5 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 8 7 7 7 7 6 6 6 6 6 6 6 7 7 8 7 8 8 7 7 6 6 6 7 7 8 9 9 10 9 9 8 9 9 9 8 8 7 7 8 9 9 9 9 8 9 9 9 9 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 8 10 13 15 15 15 14 13 13 13 13 13 12 11 9 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
nan 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 9 8 7 6 6 7 7 7 7 7 7 6 6 6 7 7 8 9 9 9 9 8 7 6 6 6 7 8 9 9 10 10 9 9 10 10 9 8 8 8 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 6 6 6 6 6 7 8 10 13 15 16 15 14 12 12 13 13 13 13 12 10 9 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 7 6 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 5 5 5 5 5 5 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 4 5 6 7 7 6 6 7 7 7 7 7 8 8 8 6 5 5 6 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 9 8 7 6 6 7 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 6 6 6 6 6 7 8 10 12 14 14 13 12 11 11 12 13 14 14 13 13 11 10 9 8 7 7 7 7 8 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 5 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 nan
nan 7 5 5 6 7 7 7 6 7 7 7 7 8 8 8 6 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 9 9 8 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 8 7 6 6 5 5 6 6 7 6 6 6 7 9 11 13 13 12 10 10 11 12 13 14 15 15 14 13 12 11 9 7 6 7 7 7 7 7 7 7 6 6 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 6 6 5 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 nan
nan 8 6 5 6 7 8 7 7 7 7 8 8 8 8 8 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 6 6 6 7 9 12 13 13 11 10 10 10 12 13 14 15 15 15 14 13 11 9 8 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 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 nan
nan 9 6 4 5 6 8 8 8 7 8 8 8 9 9 9 7 6 6 7 7 7 7 8 8 8 8 8 9 9 10 10 9 7 6 6 8 9 10 10 9 8 8 8 8 7 7 6 6 7 7 8 8 9 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 10 12 13 12 11 10 10 12 13 13 13 14 14 14 14 13 11 9 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 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 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 6 4 4 6 7 8 8 8 8 8 9 9 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 7 6 6 6 7 9 10 10 9 8 7 7 6 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 8 7 7 7 7 8 8 8 9 9 8 8 8 7 8 7 7 6 5 6 7 10 11 12 11 11 11 13 13 13 13 13 13 13 13 12 12 11 9 7 6 6 6 7 7 8 8 8 8 8 9 9 9 8 7 7 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 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 7 5 4 5 7 8 9 9 9 9 9 10 10 9 7 6 7 7 7 8 8 8 8 9 9 10 9 8 8 8 7 7 6 6 5 6 8 10 10 9 8 7 7 7 6 7 7 8 9 10 10 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 7 8 8 9 9 9 9 9 9 8 8 8 7 7 6 6 6 7 8 9 10 10 10 11 12 13 13 13 13 13 13 13 12 12 11 10 9 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 7 7 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 7 5 4 5 6 8 9 9 10 9 9 10 10 9 7 6 7 7 8 8 8 8 8 8 9 9 9 8 7 6 6 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 9 8 8 9 9 9 9 10 10 9 9 9 9 8 7 7 8 8 8 8 9 9 9 9 9 9 10 11 12 13 13 13 13 13 12 11 11 10 9 7 6 5 6 6 7 8 9 9 9 9 9 10 10 10 9 8 7 7 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 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 nan
nan 7 7 6 5 5 6 7 8 9 9 9 9 9 9 8 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 7 7 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 8 8 9 9 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 10 9 8 8 9 8 8 7 8 8 9 10 11 12 13 13 13 13 12 12 11 11 10 9 7 6 5 6 6 7 8 9 8 8 8 9 10 11 10 10 10 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 6 5 4 5 7 7 8 9 9 10 9 8 7 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 6 6 6 7 7 8 8 8 9 9 10 10 9 9 9 9 8 8 8 8 8 8 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 8 8 8 8 7 7 8 9 10 11 11 13 13 14 14 14 13 12 11 11 11 11 9 7 6 5 6 7 8 8 8 7 6 8 9 11 11 12 11 9 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 nan
nan 9 8 7 5 4 5 6 7 8 10 11 12 11 9 7 6 6 6 7 7 7 6 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 8 7 7 6 6 7 8 8 9 10 10 10 10 9 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 8 8 8 8 7 7 7 8 9 10 11 12 13 14 15 15 14 13 11 11 12 12 11 9 7 6 6 7 8 8 7 7 6 6 7 9 11 13 12 11 10 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 5 5 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 nan
nan 10 9 8 6 5 4 6 7 8 10 12 12 12 10 9 7 7 7 7 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 8 9 10 10 10 8 6 5 5 5 6 7 8 9 9 9 10 10 10 10 9 8 8 8 7 7 7 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 11 13 15 17 17 15 13 12 13 13 13 11 9 7 7 7 7 8 8 7 6 5 6 7 9 12 12 13 12 11 9 7 7 7 6 7 7 6 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 6 6 6 6 5 5 5 5 6 6 6 nan
nan 11 10 9 7 6 5 6 7 9 10 10 11 11 10 10 9 8 7 8 8 8 8 8 9 9 8 8 8 8 9 9 10 10 9 10 10 10 9 8 8 7 7 7 7 7 8 9 11 11 10 8 6 5 5 6 6 7 7 7 7 8 9 9 10 10 10 10 9 9 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 9 11 13 15 17 17 16 15 15 17 17 16 13 10 8 7 8 8 8 7 7 6 5 6 8 10 11 13 14 12 10 8 8 7 7 7 6 6 6 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 6 5 5 5 5 5 6 6 6 nan
nan 12 11 10 9 7 5 6 7 9 9 9 9 9 10 10 9 8 8 8 8 8 8 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 8 7 6 6 6 7 8 8 7 6 6 6 7 9 9 10 10 10 10 9 8 7 8 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 12 14 16 17 17 19 22 24 24 20 16 11 9 8 8 8 8 7 7 6 6 7 8 10 12 14 14 13 11 9 8 7 7 6 6 6 6 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 6 6 6 6 6 6 nan
nan 12 11 10 10 8 7 6 7 8 8 8 8 9 10 10 9 8 7 8 8 8 9 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 8 9 10 9 9 9 8 8 9 9 10 9 7 7 6 7 8 9 10 11 10 8 6 6 7 9 9 9 9 10 10 10 9 9 8 7 7 8 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 9 10 10 11 11 10 10 9 9 9 8 8 8 8 8 9 8 8 7 7 8 9 9 9 10 11 14 16 17 20 23 26 28 27 23 17 13 11 9 9 8 9 9 8 7 6 7 8 11 13 15 15 14 12 9 8 7 7 6 6 6 7 7 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 6 6 6 nan
nan 9 9 9 9 9 8 7 7 7 7 7 7 8 9 10 9 8 7 8 8 9 9 10 10 10 9 9 8 8 8 7 7 7 6 6 5 6 7 8 9 10 10 9 8 8 8 9 9 8 7 6 6 8 10 12 13 13 12 10 8 7 8 9 9 8 9 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 7 8 8 9 10 10 10 10 10 10 10 9 9 8 9 9 10 10 9 8 7 7 8 8 9 8 9 10 11 12 14 15 17 19 22 25 24 20 16 13 11 10 9 9 9 9 8 7 7 7 8 11 14 16 16 14 12 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 nan
nan 7 8 8 8 8 8 8 8 7 7 6 7 8 9 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 6 5 5 5 6 7 7 8 9 9 9 9 9 9 10 9 7 6 7 10 12 13 13 12 10 9 8 8 8 8 8 7 8 8 9 9 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 8 9 9 9 9 9 10 11 10 10 9 9 9 10 11 10 10 9 8 8 8 8 8 8 8 9 10 10 11 11 11 12 14 17 18 18 16 14 13 12 11 11 10 10 10 9 8 7 6 8 11 15 16 16 15 12 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 nan
nan 8 8 8 9 9 10 9 9 8 7 7 7 8 9 10 11 11 10 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 10 10 10 10 10 9 8 9 11 11 10 9 8 7 7 8 9 9 8 8 7 8 8 8 9 10 12 12 12 11 10 9 8 8 8 9 8 8 8 8 9 9 9 9 7 7 8 9 9 8 8 8 9 10 10 10 10 10 10 11 11 10 10 10 9 9 8 7 7 7 8 9 10 10 11 11 10 10 10 11 14 16 17 16 15 14 14 13 12 12 12 11 10 8 7 6 8 11 13 16 16 14 11 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 10 11 11 10 9 8 7 6 7 7 8 10 11 12 11 9 8 8 8 9 9 9 10 10 9 8 8 7 7 7 7 7 7 6 6 6 6 5 5 6 7 8 9 10 10 10 10 10 10 9 7 5 4 5 6 7 9 9 9 9 9 9 9 8 8 8 9 10 11 12 12 11 9 8 7 7 7 7 8 8 9 9 9 10 9 8 8 8 9 9 8 7 8 8 9 10 10 10 10 11 11 11 10 10 10 10 9 9 8 7 7 8 9 10 11 11 11 10 9 9 11 14 17 19 18 17 16 15 14 13 13 13 13 13 11 9 7 6 7 10 15 16 16 14 12 9 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 10 11 11 10 10 9 8 7 6 5 6 7 8 10 11 11 9 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 7 7 7 6 6 5 5 5 7 9 10 10 10 10 10 9 7 4 2 2 4 6 7 8 9 9 9 8 8 8 8 8 7 8 9 10 11 12 12 10 9 8 7 6 6 7 8 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 9 10 10 10 11 11 11 10 10 10 10 10 9 8 8 8 8 9 9 10 11 11 10 9 10 13 17 20 21 21 19 17 15 14 13 13 13 14 14 14 12 9 7 6 8 12 14 15 16 14 10 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 9 10 10 9 8 8 8 8 7 6 6 6 7 8 9 10 10 9 8 7 7 7 8 9 10 10 10 10 9 9 9 9 9 8 8 7 8 7 6 5 5 5 5 5 8 9 9 10 10 10 9 6 4 3 3 4 5 6 6 7 6 6 7 7 8 8 8 7 7 8 9 10 11 11 10 10 9 8 7 7 7 8 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 13 14 17 19 20 21 21 19 16 14 12 11 11 12 13 15 15 15 13 10 7 7 8 10 13 15 14 12 11 9 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 7 7 7 7 7 7 7 8 9 9 8 8 9 9 9 8 8 8 7 7 8 8 9 10 10 10 10 9 10 10 10 9 8 7 8 8 6 5 5 5 5 6 7 8 8 9 10 10 9 7 6 5 5 5 5 5 5 4 4 4 5 7 8 8 8 8 7 8 9 10 10 10 10 10 11 10 10 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 9 10 10 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 12 13 14 14 14 15 16 18 19 17 15 13 11 9 10 10 12 13 15 17 16 13 10 8 6 7 10 12 13 12 12 11 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 8 6 5 6 6 7 8 8 9 10 10 10 9 8 8 8 7 8 8 8 8 8 8 8 9 10 10 9 9 9 10 10 10 8 8 9 9 6 5 5 6 7 6 6 6 7 8 10 10 9 9 8 8 8 8 7 6 5 3 2 3 4 6 7 8 7 6 7 7 9 9 9 9 9 10 11 11 11 10 9 9 9 10 9 8 7 7 7 7 6 6 7 8 8 8 9 10 11 11 11 10 10 9 10 10 10 10 11 11 11 11 11 10 9 8 8 8 9 10 10 10 9 9 11 13 14 14 13 12 11 9 9 9 10 11 14 17 17 16 13 10 7 6 7 9 10 11 12 11 9 9 9 9 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 7 7 7 7 8 nan
nan 9 9 8 7 6 6 7 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 9 10 9 9 8 9 9 10 10 9 9 10 10 9 7 7 8 8 7 5 5 6 8 9 10 10 11 11 11 11 10 9 7 6 4 4 4 6 6 7 6 5 5 6 7 8 8 8 8 9 10 10 10 10 9 8 8 9 10 9 8 8 8 8 7 6 6 7 7 8 7 8 9 10 10 11 11 10 10 10 10 10 10 10 11 11 11 10 9 8 7 6 6 7 7 8 7 6 5 6 7 8 8 9 11 11 10 10 10 10 11 13 15 17 17 15 12 9 6 6 6 7 10 11 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 nan
nan 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 6 7 7 8 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 11 11 10 9 9 8 7 6 6 7 8 9 10 11 11 12 12 12 11 10 9 9 8 8 9 9 8 7 5 4 4 5 6 7 7 6 7 8 9 9 9 9 9 9 9 10 9 9 9 9 9 8 7 6 6 7 7 7 6 7 7 8 9 10 10 10 10 10 10 9 9 10 10 10 9 9 8 7 6 5 6 6 6 6 6 4 3 2 2 1 2 4 7 9 10 10 11 11 11 11 13 15 16 16 14 10 8 6 5 6 8 9 10 10 10 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 8 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 12 12 11 10 8 7 7 7 8 8 8 9 9 10 10 11 11 11 11 11 12 12 12 12 12 10 9 7 5 4 4 5 6 6 5 5 6 7 8 9 10 11 11 11 11 9 9 9 10 10 9 8 8 8 8 7 7 7 7 7 7 8 9 9 10 10 10 10 9 9 10 9 9 8 8 8 7 6 5 6 6 7 6 6 7 6 4 2 -0 -0 1 4 7 9 11 11 11 11 11 11 12 14 15 14 12 9 7 5 5 6 7 8 10 10 10 10 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 nan
nan 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 10 10 9 9 9 10 11 11 11 10 10 9 10 10 11 11 11 11 10 10 11 11 12 12 12 13 11 8 7 7 8 8 8 8 8 7 8 9 9 10 11 11 12 12 12 12 12 12 12 11 9 6 5 5 5 6 6 6 6 6 6 6 8 10 11 11 12 11 10 9 9 10 10 10 10 10 9 9 9 9 9 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 9 8 8 7 7 7 7 8 8 9 10 12 13 12 9 5 4 5 6 7 9 10 10 10 10 10 10 11 13 14 13 12 10 8 6 5 5 5 7 8 10 11 11 11 10 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 nan
nan 17 17 17 17 17 17 17 17 17 16 16 15 14 14 13 13 14 13 12 12 11 11 12 12 12 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 13 11 9 8 8 9 9 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 12 11 9 8 8 8 8 8 7 7 6 5 6 7 8 9 9 10 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 7 7 8 9 10 10 10 10 10 10 11 10 10 9 8 8 8 9 10 11 11 12 13 15 17 17 16 15 13 10 8 7 7 7 8 8 9 9 10 11 11 12 13 13 11 10 8 6 5 5 6 7 10 12 13 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 17 18 19 20 20 20 20 19 19 18 17 16 16 15 16 16 16 16 15 14 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 10 10 10 11 11 11 11 9 8 9 9 10 10 10 10 10 9 9 9 10 10 11 12 13 13 12 12 11 11 10 9 8 7 6 5 6 6 7 7 9 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 10 9 8 9 9 10 10 10 10 10 10 11 11 10 9 9 9 9 10 11 11 11 12 12 13 15 16 18 20 18 14 9 6 4 4 5 6 7 8 9 10 11 11 12 13 12 11 10 8 6 5 5 7 10 12 13 13 12 11 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 9 9 nan
nan 13 15 17 18 19 19 19 19 19 18 17 16 16 16 16 16 17 17 16 15 13 12 11 10 11 13 14 14 14 13 13 12 12 12 12 12 12 12 12 12 13 13 12 12 12 13 12 12 11 10 9 8 8 9 10 10 9 9 9 9 8 9 9 10 11 11 13 14 14 14 14 13 13 11 9 7 6 6 5 5 6 6 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 11 11 10 10 10 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 13 16 18 18 13 8 4 2 2 3 4 6 8 8 9 9 10 11 11 12 12 12 10 8 7 7 8 9 11 12 12 12 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 nan
nan 10 11 12 13 14 15 16 17 17 16 16 15 15 14 14 14 15 15 16 15 13 12 10 10 11 12 14 14 14 14 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 11 10 9 9 8 7 8 9 8 8 8 8 8 8 8 9 9 10 10 10 11 12 13 13 13 13 12 10 8 7 6 6 6 5 5 5 5 5 5 5 7 8 10 11 11 10 10 9 9 10 11 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 9 8 8 8 8 9 9 10 11 13 16 15 11 7 4 3 3 4 5 6 8 8 8 8 9 10 10 11 12 13 12 10 9 9 9 9 10 11 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 nan
nan 7 8 9 9 10 11 12 13 13 13 13 13 12 11 11 11 12 13 13 13 12 10 10 9 10 11 12 13 13 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 11 11 10 9 9 9 8 8 8 8 8 7 7 7 8 9 9 8 8 8 7 7 7 8 9 10 11 11 11 10 9 8 7 6 6 5 5 4 4 4 3 3 4 6 8 10 11 10 10 9 9 9 10 10 11 11 11 11 11 10 11 11 10 10 10 11 12 12 12 11 11 11 10 9 8 7 7 8 8 8 10 12 14 14 11 7 5 5 5 6 7 9 9 8 8 8 8 9 10 10 11 13 13 13 12 10 9 9 9 10 11 12 13 13 13 14 13 12 12 12 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 12 nan
nan 5 6 7 8 8 9 10 10 11 11 11 10 10 9 9 9 9 10 11 10 9 8 8 8 9 9 10 10 10 10 11 11 11 12 12 12 11 11 11 11 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 8 8 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 7 6 6 6 6 6 6 5 4 4 5 6 9 10 10 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 13 12 11 10 9 8 7 7 7 8 10 13 13 11 9 7 7 8 9 11 12 11 10 10 9 8 9 10 11 12 13 14 14 13 12 10 10 9 9 10 12 14 16 17 18 17 17 16 15 14 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 nan
nan 4 5 6 7 8 9 9 10 10 10 10 9 9 8 8 8 8 9 10 9 7 7 7 7 7 8 8 8 9 9 9 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 8 7 8 8 9 9 8 7 7 6 5 5 8 10 11 11 10 8 7 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 10 11 12 13 13 13 13 12 11 9 7 6 6 8 11 13 12 11 10 10 11 12 13 13 12 11 10 9 9 9 10 11 12 13 14 15 14 12 10 10 9 10 11 13 15 17 20 20 21 21 21 20 18 18 16 15 14 13 13 13 14 14 13 13 13 13 12 12 12 12 13 13 nan
nan 5 5 6 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 8 7 6 6 6 7 7 8 8 8 8 9 10 11 11 11 11 11 10 10 11 12 12 12 11 11 12 11 11 11 10 10 10 11 11 11 11 10 10 9 9 8 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 8 11 13 13 12 9 7 7 7 8 8 8 8 8 8 9 8 8 8 7 7 8 8 8 8 9 10 11 12 12 13 14 14 12 10 8 7 8 11 13 13 13 12 12 13 13 13 13 12 11 10 9 9 9 10 12 12 14 15 15 14 12 10 10 11 13 14 15 16 18 20 21 22 23 23 22 21 20 19 17 15 14 13 14 14 14 15 15 15 15 14 14 14 14 15 15 nan
nan 6 5 5 6 8 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 6 7 7 7 8 8 8 8 9 10 10 11 11 10 9 10 10 11 11 12 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 12 14 15 14 11 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 11 13 14 14 14 13 11 11 13 15 16 15 14 14 15 14 14 13 12 11 10 10 10 10 11 12 13 14 15 15 14 13 11 12 14 16 17 17 17 18 20 21 22 22 22 21 20 19 18 16 14 13 12 12 12 13 14 14 14 14 14 14 14 15 15 16 nan
nan 6 5 5 5 7 8 9 9 8 8 7 7 8 8 7 7 8 8 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 9 10 10 10 9 8 8 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 9 8 8 8 7 7 7 6 7 7 8 9 9 10 10 9 10 13 14 14 13 9 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 13 15 15 14 15 17 19 19 17 16 16 16 15 15 14 13 12 11 11 11 12 13 14 15 16 16 16 17 17 17 18 18 18 17 16 17 18 20 21 21 21 20 19 18 17 16 14 12 10 9 9 9 9 9 10 10 10 10 11 12 12 13 14 nan
nan 7 6 5 5 6 8 9 9 9 8 8 8 8 8 7 6 6 7 8 8 9 9 9 8 8 8 8 8 9 9 9 9 8 9 9 10 10 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 8 8 9 9 10 9 9 10 11 12 12 10 8 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 10 12 15 15 14 14 16 20 21 19 17 16 16 16 15 15 14 14 14 14 15 16 16 17 19 21 22 22 21 22 22 21 18 15 13 12 13 15 17 19 18 17 16 16 15 14 13 12 11 9 7 5 5 5 5 5 5 5 5 6 7 7 8 9 nan
nan 7 6 5 5 6 8 9 9 8 7 7 7 8 8 8 7 6 6 7 8 8 9 9 9 8 8 8 9 10 10 10 9 8 9 9 10 10 9 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 8 8 8 9 9 10 9 9 9 8 9 10 10 8 7 7 8 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 10 10 9 9 9 10 12 15 15 13 11 12 17 20 20 18 17 16 16 16 16 17 18 20 21 24 26 26 26 27 29 29 27 25 22 19 15 11 8 7 6 8 9 11 12 12 12 12 11 12 12 12 11 10 8 7 5 4 4 3 3 3 3 3 3 3 4 5 5 nan
nan 7 6 5 5 6 8 9 9 8 7 6 7 8 9 10 9 7 6 7 7 8 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 8 7 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 9 9 10 10 10 10 10 10 12 14 15 13 9 9 14 19 20 20 18 17 17 18 19 22 25 29 32 35 38 40 38 34 31 29 25 21 16 11 7 5 3 3 2 3 4 5 6 7 7 8 8 9 10 10 10 9 9 8 7 6 5 4 4 4 4 4 3 3 3 4 4 nan
nan 7 6 6 6 7 8 10 10 10 10 9 8 8 9 10 11 10 9 8 8 8 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 10 9 10 10 10 8 8 8 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 7 8 8 9 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 13 16 17 16 12 10 13 18 22 22 20 20 21 23 25 28 32 36 39 40 41 40 37 31 25 20 15 11 8 4 2 2 2 2 2 2 2 3 3 4 5 5 6 6 7 8 8 9 9 9 8 8 7 7 6 6 5 5 4 4 4 5 5 nan
nan 7 7 7 7 8 9 9 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 8 7 8 10 10 10 9 8 8 8 8 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 5 6 7 8 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 14 17 20 20 17 13 13 17 21 23 24 25 27 28 29 30 31 32 32 32 29 26 21 17 13 9 5 4 4 3 2 2 3 3 2 2 2 3 3 3 4 4 4 4 5 6 6 7 7 8 9 9 8 8 7 7 7 6 6 5 5 5 6 nan
nan 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 10 10 11 11 11 10 9 9 10 10 10 10 9 8 8 9 10 10 10 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 9 8 7 6 5 6 7 7 6 5 5 6 8 9 10 10 9 9 10 10 10 10 10 10 9 9 9 9 10 11 14 18 22 22 18 14 12 15 18 22 25 27 28 27 25 23 22 20 18 17 14 11 8 6 4 3 2 2 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 5 5 6 7 7 8 8 7 7 7 7 7 7 6 6 6 6 nan
nan 7 8 8 9 10 10 9 9 9 8 8 8 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 10 10 11 12 11 10 8 8 9 10 10 9 8 8 9 10 11 11 10 9 9 9 9 9 10 10 11 12 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 10 10 10 9 8 7 5 5 7 8 7 6 5 6 7 8 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 17 20 22 20 15 10 9 11 15 17 19 20 20 18 15 13 12 10 8 6 5 4 2 1 1 2 2 2 3 3 3 2 3 3 3 3 3 3 3 3 3 4 3 3 4 4 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 10 10 11 12 12 10 8 7 8 9 10 9 9 9 10 11 11 12 11 10 9 9 10 10 10 11 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 10 10 10 9 9 9 9 8 8 7 8 9 9 8 6 6 7 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 16 19 21 19 13 8 6 7 10 12 11 9 7 8 8 7 5 5 4 3 2 2 1 1 0 0 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 4 4 4 4 5 6 6 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 8 8 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 10 11 12 12 10 8 8 8 9 9 9 9 9 10 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 12 12 12 11 10 9 9 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 12 11 11 10 10 9 9 9 9 8 8 9 10 9 8 7 8 10 10 10 9 9 10 10 11 10 10 10 10 10 10 10 10 11 12 14 17 20 18 10 5 3 4 8 11 11 7 3 -1 -1 0 1 1 1 1 1 0 -0 -1 -1 -1 -1 -1 -1 -1 -1 -0 0 1 1 1 2 2 2 2 2 3 3 4 4 5 5 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 nan
nan 8 9 9 9 9 10 10 10 10 10 9 8 8 8 8 7 8 8 8 8 9 9 9 10 10 11 10 9 9 9 11 12 12 11 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 10 11 12 13 12 11 10 9 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 10 9 9 9 9 8 8 8 9 10 9 8 10 11 12 10 8 9 9 10 10 11 11 11 10 10 10 10 10 11 12 14 18 19 13 4 1 2 6 10 11 10 8 4 0 -2 -3 -2 -2 -1 -1 -1 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -0 0 1 1 2 2 2 2 3 3 3 4 5 6 7 7 7 8 8 8 8 8 9 9 8 7 7 7 8 8 8 8 nan
nan 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 9 7 7 8 9 9 9 11 12 12 11 10 10 9 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 10 9 9 9 8 8 8 9 9 8 8 10 12 12 10 8 8 9 9 10 10 11 11 10 10 10 10 10 11 12 15 19 17 11 6 5 7 9 10 10 9 8 7 4 1 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -1 -0 0 1 1 2 2 2 3 3 3 3 4 5 5 6 6 7 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 nan
nan 8 7 8 8 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 10 11 11 10 9 10 10 10 10 9 8 7 8 8 8 9 10 11 11 11 10 9 9 9 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 11 12 12 12 11 11 10 9 9 9 8 8 8 9 8 7 7 9 12 13 11 8 7 8 8 9 10 11 11 10 10 10 10 10 11 12 16 19 15 11 8 8 10 10 9 8 8 7 7 6 4 2 0 -1 -1 -0 -0 -0 -0 -0 0 0 -0 -1 -0 0 0 0 1 1 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 6 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 nan
nan 8 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 10 10 9 9 9 8 9 9 8 7 7 9 12 12 10 8 7 8 9 9 10 10 10 10 10 10 11 11 11 13 17 17 14 10 7 7 8 8 8 7 7 7 8 8 6 4 2 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 9 9 9 9 9 10 10 11 11 11 11 nan
nan 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 10 8 8 8 9 9 9 8 9 10 11 11 11 10 10 9 9 9 9 9 10 10 9 8 8 9 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 8 7 8 9 10 11 10 9 9 9 9 9 10 10 10 10 10 10 11 11 12 14 16 15 11 7 5 6 7 7 7 7 8 10 11 11 9 4 2 2 3 3 3 3 3 3 3 3 4 4 5 5 6 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 9 9 9 9 10 10 10 11 11 12 12 12 11 nan
nan 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 10 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 10 10 11 10 10 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 8 7 7 8 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 11 12 13 13 12 10 7 5 5 7 8 8 8 8 10 12 14 12 7 2 1 2 3 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 7 7 8 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 10 10 10 10 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 8 8 8 7 8 8 9 9 9 9 10 11 11 10 9 9 9 10 10 10 11 11 12 13 12 11 9 7 6 7 8 8 8 9 9 11 13 12 8 3 1 1 2 3 4 5 5 5 5 4 5 5 5 6 6 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 nan
nan 8 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 9 9 10 9 8 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 10 10 10 10 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 10 11 10 8 4 2 3 3 2 3 4 5 5 5 5 5 6 6 6 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 10 nan
nan 8 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 9 8 8 8 9 10 10 9 9 9 10 10 10 10 9 10 11 12 12 12 12 12 11 9 7 7 8 9 9 10 10 10 9 6 2 1 3 5 5 3 3 3 5 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 11 10 10 nan
nan 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 11 11 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 12 11 11 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 13 11 10 9 9 8 8 7 7 8 9 10 10 9 8 8 9 10 11 10 10 10 11 11 12 12 11 11 10 8 6 5 6 7 8 9 10 10 8 5 2 3 6 7 7 5 3 3 5 6 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 11 10 10 10 nan
nan 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 11 10 9 9 9 10 10 10 11 12 12 12 11 11 11 10 9 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 12 12 13 12 11 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 12 11 10 9 9 8 8 7 7 7 8 9 10 10 9 8 9 10 11 10 10 10 10 11 11 11 11 11 10 9 9 9 9 8 8 9 10 11 10 8 8 9 10 10 9 7 6 6 6 7 8 10 10 10 11 11 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 nan
nan 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 9 9 9 9 10 10 11 11 12 12 11 11 11 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 11 12 13 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 12 12 11 10 9 9 9 7 7 7 7 8 9 10 9 8 9 10 10 10 10 9 9 10 11 11 11 10 10 10 11 12 12 11 9 9 10 10 11 11 11 11 11 11 10 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 11 nan
nan 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 9 8 7 7 7 8 9 9 9 9 9 10 11 11 11 9 8 9 10 11 10 10 10 10 10 11 12 12 11 10 9 9 9 10 10 11 11 11 10 10 9 9 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 13 13 13 12 11 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 11 11 11 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 10 9 8 7 7 8 9 9 9 9 9 10 11 12 11 9 8 9 10 11 10 10 9 9 9 10 11 11 11 10 9 8 8 8 9 10 11 11 10 10 9 9 8 8 9 9 10 10 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 11 11 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 10 10 10 10 11 12 13 13 13 12 11 10 9 8 8 8 9 9 10 9 9 9 10 12 12 10 9 8 9 10 10 10 10 10 9 9 9 10 10 10 9 9 8 8 9 10 10 10 10 10 10 9 8 8 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 13 13 14 14 13 13 13 13 13 14 14 14 13 13 13 12 11 nan
nan 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 9 9 10 11 10 10 9 9 9 10 10 10 9 9 9 9 10 10 10 11 11 13 13 13 12 11 11 10 10 9 9 9 10 10 9 9 8 9 10 11 11 9 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 9 8 8 8 10 11 11 12 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 14 14 14 13 13 13 13 13 13 13 13 13 12 12 11 11 nan
nan 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 9 9 10 11 10 9 8 8 9 10 11 11 10 9 8 9 10 10 10 10 11 12 13 14 13 12 12 11 10 9 9 10 10 10 9 9 8 8 9 10 10 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 nan
nan 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 9 9 9 10 11 11 10 9 9 9 10 11 11 10 9 9 10 11 11 11 11 11 12 13 14 13 13 12 11 10 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 9 9 nan
nan 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 9 9 9 10 11 12 11 11 10 9 9 10 10 10 10 10 10 11 11 12 11 11 11 12 13 13 12 12 11 10 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 7 6 7 7 8 8 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 10 9 9 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 9 9 8 9 9 10 10 10 10 10 9 9 9 9 9 8 7 6 6 6 6 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 11 12 12 13 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 nan
nan 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 11 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 7 7 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 10 11 12 12 12 12 11 12 12 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 10 9 9 10 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 12 12 13 12 13 13 13 12 12 11 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 8 8 8 7 8 8 8 8 9 9 10 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 nan
nan 10 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 9 10 12 13 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 9 9 10 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 11 12 12 12 13 13 12 12 11 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 nan
nan 10 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 10 10 10 10 10 10 10 9 10 10 10 9 8 9 10 11 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 11 10 10 11 10 9 9 11 13 14 13 13 13 13 13 12 12 11 10 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 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 10 10 9 10 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 10 10 10 9 8 8 8 8 8 9 9 9 9 9 10 10 11 12 11 10 8 8 8 9 10 11 11 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 7 7 8 7 6 6 6 8 9 11 11 11 11 10 10 12 13 13 12 11 12 12 12 12 11 10 9 9 8 7 7 7 8 9 10 10 10 11 11 10 10 10 9 nan
nan 10 10 10 10 10 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 9 10 10 10 10 11 11 11 11 10 9 9 8 8 9 10 11 11 10 9 7 6 6 6 6 6 7 7 7 8 8 10 11 12 13 12 10 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 5 5 6 7 9 10 10 10 11 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 12 12 12 12 12 12 11 11 10 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 11 11 10 10 11 11 11 12 12 11 8 6 5 6 6 6 5 5 6 6 7 9 10 11 12 12 11 10 8 7 7 7 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 6 5 4 5 6 8 9 9 11 11 11 9 8 9 9 9 9 9 9 9 9 9 10 11 13 14 15 14 13 13 13 13 13 12 12 11 10 nan
nan 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 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 8 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 12 13 14 15 16 17 17 17 17 16 14 11 10 10 11 9 7 5 6 7 8 9 10 11 11 11 10 9 8 7 7 6 6 7 8 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 9 8 8 9 9 9 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 6 6 7 8 9 9 11 11 11 10 10 10 10 11 11 11 11 10 11 12 13 14 16 16 16 14 13 12 12 12 12 12 12 11 11 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 11 13 15 18 20 21 22 22 23 23 22 21 20 18 18 18 16 13 10 8 7 8 9 9 9 10 10 10 10 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 12 13 13 12 13 14 15 15 15 15 14 12 11 11 12 12 12 12 12 12 12 12 nan
nan 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 9 9 10 12 13 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 9 9 9 9 10 11 13 16 19 20 20 20 20 20 20 20 20 20 21 21 22 21 19 16 13 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 9 8 8 7 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 11 11 11 12 14 16 16 15 14 14 13 12 12 12 13 13 13 13 12 12 12 12 nan
nan 11 11 11 11 10 10 10 9 9 8 8 8 8 8 9 9 9 9 8 9 9 9 9 10 13 14 16 16 15 14 12 11 10 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 9 11 13 15 15 14 14 13 14 14 15 15 16 17 19 20 21 21 19 17 17 16 14 12 10 10 10 9 10 10 11 11 11 11 11 11 10 10 10 10 9 8 8 8 8 9 9 10 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 9 9 9 8 7 6 6 7 9 10 11 10 10 9 9 8 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 13 14 14 13 14 15 15 14 12 11 11 12 12 12 11 11 11 12 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 11 13 14 15 14 14 13 13 13 12 11 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 9 9 8 8 6 3 2 2 3 5 7 8 9 10 11 11 11 11 11 12 13 16 17 19 21 22 23 23 21 18 15 13 11 10 10 9 9 10 10 10 11 11 10 10 10 10 10 9 8 8 7 8 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 7 8 9 10 10 10 9 9 8 8 9 9 10 10 10 10 9 8 8 8 9 9 9 10 10 11 11 11 10 11 13 13 13 10 7 5 5 6 8 8 9 10 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 11 12 14 14 13 11 10 11 11 12 12 12 11 10 9 8 8 8 8 7 7 8 8 8 8 7 6 6 6 7 7 7 8 8 8 8 8 7 5 1 -3 -5 -5 -3 -1 1 3 5 8 9 9 9 9 9 10 11 12 14 15 18 20 22 23 23 21 20 17 14 11 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 9 9 10 10 10 11 11 11 11 10 10 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 10 9 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 8 4 1 1 3 5 7 8 10 10 11 11 nan
nan 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 10 11 12 13 13 11 10 9 9 10 10 11 11 11 10 9 8 7 7 7 7 7 8 9 9 9 9 8 7 7 6 6 6 6 6 6 6 7 8 6 3 1 -2 -3 -3 -3 -2 -1 0 3 5 7 8 8 8 9 9 9 9 10 11 13 15 18 20 21 22 22 19 15 13 11 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 8 8 7 7 7 7 8 9 10 9 9 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 11 11 10 8 8 9 10 10 10 10 10 10 10 9 10 10 9 7 3 0 0 3 6 8 9 10 11 11 11 11 nan
nan 9 10 10 10 10 9 9 10 10 10 10 11 11 11 11 12 12 11 11 10 11 11 13 13 12 11 10 10 10 10 10 10 11 11 10 8 8 7 7 7 8 8 9 9 10 11 11 11 10 8 7 6 5 5 4 5 5 6 8 9 8 8 7 6 5 4 4 4 3 1 1 2 4 6 7 8 9 9 9 9 9 9 10 12 14 15 18 20 20 20 19 17 13 11 10 10 10 10 11 11 11 10 9 9 9 9 9 8 8 7 6 7 7 9 10 11 10 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 9 6 2 -1 -1 2 6 9 10 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 11 12 14 13 12 11 10 10 11 11 11 11 11 11 10 9 8 8 8 7 8 8 9 9 9 10 11 11 10 9 8 7 6 5 5 5 6 8 9 11 11 12 12 11 11 11 12 14 12 8 3 0 -0 2 4 6 8 10 10 10 10 10 10 10 11 12 13 15 17 19 22 22 20 16 14 12 10 10 11 10 10 10 10 10 10 10 10 9 7 6 6 7 8 10 11 11 10 9 9 9 10 9 9 9 10 10 11 11 11 11 10 10 9 9 8 8 10 11 11 10 9 9 10 10 9 10 10 9 8 8 8 9 10 11 11 12 12 10 10 10 10 10 10 10 10 10 10 10 10 9 6 1 -3 -3 -0 4 7 9 10 10 10 11 11 11 11 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 11 13 13 13 11 11 10 11 11 12 12 12 12 11 11 10 10 9 8 8 8 8 8 8 9 10 9 9 8 8 8 8 7 7 7 7 8 10 11 12 12 12 12 11 10 10 13 16 16 14 11 6 1 -1 -0 1 4 7 9 9 9 9 9 10 11 11 12 12 13 15 18 21 22 20 18 15 12 11 10 9 9 10 10 11 11 11 11 10 9 8 7 8 8 10 11 11 10 9 9 9 10 10 10 10 9 9 10 11 11 11 10 10 9 9 8 9 11 12 12 11 9 8 9 9 10 11 10 10 9 8 8 9 10 11 11 12 12 11 11 11 10 10 10 10 10 10 11 11 11 9 4 0 -1 -0 3 6 8 9 9 10 10 10 11 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 7 7 6 7 8 10 12 12 11 11 10 10 10 11 11 11 11 10 10 10 10 10 9 9 8 7 7 7 9 10 10 9 8 7 7 8 8 8 7 7 7 9 11 11 11 11 11 10 8 5 2 3 8 11 13 13 10 6 2 -1 -2 -2 -0 2 4 4 5 5 6 7 9 9 10 11 12 13 15 17 18 18 17 15 15 14 12 10 9 9 10 11 12 12 11 10 9 8 8 8 8 9 10 10 10 10 10 11 12 12 11 10 9 8 9 10 10 10 9 9 9 9 9 9 10 10 9 7 6 7 8 10 10 10 10 9 7 7 9 10 10 12 13 13 13 12 11 10 10 9 10 11 11 11 11 12 10 8 6 6 6 6 7 8 9 9 10 10 10 11 11 12 nan
nan 9 9 9 9 9 10 10 9 9 8 8 8 8 7 6 5 5 5 5 6 8 9 9 10 10 10 10 10 10 10 10 9 8 8 9 10 10 10 10 9 8 7 7 9 10 9 9 8 8 8 8 9 9 8 7 7 8 10 11 11 10 10 9 7 2 -2 -3 -0 3 7 9 10 9 7 4 -0 -3 -5 -4 -3 -2 -1 -1 -0 1 3 5 6 8 9 11 11 12 13 15 16 17 17 17 16 13 10 8 8 9 10 10 11 10 10 10 9 8 8 8 9 10 11 11 12 13 12 11 10 8 7 7 8 9 9 9 9 9 8 8 7 7 7 7 6 4 4 6 8 10 10 10 8 6 5 7 8 10 11 13 15 14 13 12 10 9 9 9 10 10 11 11 11 11 10 11 12 12 9 7 6 7 8 9 10 10 11 11 12 12 nan
nan 9 9 9 9 9 9 9 8 7 7 8 8 8 7 6 6 6 7 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 10 11 11 10 10 9 9 8 8 7 8 9 9 9 9 9 9 8 7 6 8 9 10 10 10 10 10 8 5 1 0 1 3 5 8 10 10 10 8 5 2 -0 -2 -3 -3 -2 -2 -2 -1 1 2 2 3 4 7 8 9 9 10 12 13 15 17 17 16 13 10 8 7 7 8 9 10 10 10 10 9 8 8 9 9 10 12 13 12 11 10 8 6 5 5 7 9 9 9 9 8 8 7 7 8 8 7 5 4 5 8 11 12 11 9 7 4 5 7 8 10 12 14 14 14 13 11 10 10 9 9 10 10 11 11 11 10 9 10 11 9 6 4 5 7 9 10 11 11 12 12 12 13 nan
nan 8 8 8 8 9 8 8 7 8 9 10 11 10 9 8 8 9 10 11 12 12 12 11 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 11 10 9 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 8 7 7 8 9 9 10 11 11 11 10 9 8 7 6 5 3 3 3 3 4 5 5 3 2 2 3 4 5 6 6 7 9 10 12 14 15 14 12 10 7 6 7 8 9 10 10 10 9 8 8 8 8 9 10 10 10 9 9 7 6 6 6 7 9 9 9 8 8 8 9 9 9 8 7 7 8 10 13 14 13 11 9 6 5 6 7 8 9 11 11 12 12 11 11 11 10 9 10 10 11 11 11 11 10 9 9 7 4 2 1 4 8 11 11 12 12 13 13 13 14 nan
nan 7 8 8 8 8 8 8 9 10 11 13 13 12 11 9 9 10 11 12 13 13 12 11 9 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 10 11 11 11 11 11 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 8 9 9 9 10 11 12 12 14 14 13 11 10 10 10 11 10 10 9 8 7 7 8 8 7 6 6 5 4 3 3 4 5 6 7 7 8 9 11 12 12 11 9 8 7 7 7 9 9 9 9 8 8 9 9 10 10 10 9 9 8 8 8 8 9 9 8 7 7 7 9 11 11 10 8 7 7 9 11 14 14 13 11 10 9 8 8 8 7 7 8 8 9 10 11 10 10 10 8 8 9 10 11 11 11 11 10 9 8 5 3 3 3 7 11 12 13 13 14 14 14 14 15 nan
nan 9 9 8 8 9 9 10 11 12 12 13 13 13 12 10 9 10 11 11 11 10 9 8 8 8 7 7 7 7 7 8 7 7 6 5 3 4 6 8 11 11 11 11 11 12 12 12 11 10 10 9 9 8 8 8 9 9 8 8 6 6 6 7 8 9 10 11 11 10 12 14 16 16 14 12 10 10 10 11 10 9 9 8 8 8 8 8 8 9 9 8 7 6 6 7 8 8 8 8 9 10 11 11 10 10 8 7 5 6 8 9 10 10 10 10 10 10 11 11 10 9 8 7 7 9 10 10 9 7 7 8 10 12 13 12 10 7 6 7 9 12 13 12 11 11 11 11 11 11 10 8 7 7 7 8 10 10 9 9 7 5 7 9 10 11 12 11 10 9 8 8 7 7 7 8 11 12 13 14 14 15 15 15 16 16 nan
nan 10 10 9 9 9 10 11 11 11 11 11 12 12 12 11 10 10 11 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 6 4 2 3 5 8 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 9 7 7 7 8 8 9 10 10 9 7 8 11 15 17 16 13 10 9 9 9 9 9 9 8 8 8 8 7 8 9 10 10 10 9 9 10 12 13 13 12 11 11 11 11 10 10 9 7 6 6 8 9 10 11 10 11 11 11 10 10 9 9 8 7 7 8 9 9 8 8 9 11 13 13 11 10 8 6 6 7 10 11 11 11 10 11 13 13 13 12 11 9 8 7 7 8 10 10 10 8 5 5 7 9 11 12 11 10 8 8 8 9 9 10 10 11 12 12 13 14 15 15 16 16 16 15 nan
nan 10 10 9 9 9 10 10 10 9 9 9 10 11 11 11 10 10 9 9 9 9 10 9 9 8 8 8 8 8 8 8 8 7 6 4 2 2 4 7 9 9 9 8 9 9 10 10 10 9 9 10 10 10 11 11 11 11 11 9 8 8 8 8 8 9 10 10 8 6 5 8 11 15 16 15 12 10 9 9 9 9 9 8 9 9 9 8 8 9 10 10 10 10 10 11 12 15 15 14 12 11 11 10 9 9 9 9 8 8 8 8 9 9 9 10 10 9 8 7 7 8 8 8 8 8 8 8 9 10 11 12 11 9 7 7 6 6 7 8 9 10 10 9 9 10 12 12 12 12 11 10 8 7 8 9 10 11 10 7 5 6 8 10 11 11 10 9 8 8 9 10 11 11 11 12 12 12 13 14 15 15 15 15 15 14 nan
nan 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 7 8 8 9 8 9 9 9 9 9 9 10 9 7 5 3 4 6 7 8 7 6 6 7 8 9 9 8 8 8 9 10 10 11 11 11 11 10 9 8 7 7 7 8 8 9 9 7 5 4 6 9 12 14 15 14 12 10 8 8 9 9 9 10 10 9 9 9 11 11 11 9 7 7 8 9 11 12 12 11 10 8 7 7 7 8 9 9 8 7 7 7 8 8 10 10 8 7 6 6 7 9 9 10 9 8 9 9 9 9 9 8 7 7 6 6 6 7 8 8 9 8 8 8 9 10 10 11 10 10 9 8 8 9 10 10 11 10 8 7 7 8 10 10 10 10 9 9 10 10 11 11 10 11 11 11 12 13 13 13 14 13 13 12 12 nan
nan 10 9 9 8 8 8 8 8 7 6 5 5 6 7 8 8 8 7 7 6 6 5 6 8 8 9 9 9 9 10 11 11 11 10 8 6 7 8 9 9 8 7 6 6 7 8 8 8 8 8 10 10 10 10 10 11 11 11 11 9 8 7 7 7 8 9 9 6 4 4 6 8 11 14 15 16 14 10 7 6 7 9 11 11 10 9 8 10 12 12 11 8 5 3 2 3 5 7 8 8 8 7 6 6 6 6 7 7 6 6 7 8 9 9 10 10 9 8 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 9 9 10 10 9 8 7 7 8 9 9 9 10 9 8 9 8 8 9 10 10 10 10 11 11 11 12 11 11 11 11 11 11 11 11 12 12 11 11 10 9 nan
nan 9 8 8 8 7 7 7 6 5 3 3 4 5 7 9 9 9 9 8 8 7 6 6 7 8 9 9 9 10 11 12 12 13 12 10 9 9 9 10 10 9 8 7 6 7 8 8 8 9 10 11 12 11 9 9 10 11 12 11 10 9 8 7 7 8 8 7 5 3 3 5 9 12 15 17 18 16 10 5 4 5 8 10 10 9 8 9 11 12 12 11 9 6 4 1 1 2 4 5 7 9 9 8 8 7 7 7 7 7 7 8 9 10 11 11 11 10 10 9 9 9 8 8 8 9 10 10 8 7 8 9 9 10 8 7 6 6 7 8 8 8 8 8 8 8 9 10 10 9 8 7 7 8 8 9 9 10 11 11 10 8 8 9 10 11 11 12 12 13 13 13 12 12 12 11 10 10 10 10 11 10 10 9 9 8 nan
nan 7 7 7 6 6 5 4 3 3 3 4 5 7 9 9 9 9 9 9 9 8 6 5 6 8 9 9 9 10 10 11 12 13 13 11 11 10 10 9 9 9 8 7 7 8 9 10 10 11 12 12 12 11 9 9 9 10 10 10 10 10 9 8 7 8 8 6 3 2 3 5 9 13 16 19 20 17 10 6 4 5 7 8 8 8 8 10 11 12 11 11 10 10 8 5 2 2 2 3 7 9 10 11 10 10 10 9 9 8 8 9 10 10 11 12 12 11 11 10 10 10 9 9 10 10 11 10 8 8 8 9 9 8 7 7 7 7 8 9 9 9 8 8 8 9 10 12 12 11 10 10 8 8 8 9 10 12 12 11 9 7 8 9 10 12 12 13 14 14 14 13 12 12 11 10 10 10 9 10 10 10 10 10 9 9 nan
nan 6 6 6 5 5 4 3 2 3 6 7 8 9 9 9 9 9 9 9 9 8 6 5 5 7 8 8 8 9 9 10 11 12 12 11 11 10 9 9 9 9 8 8 9 10 11 11 12 12 12 12 12 11 10 9 8 7 8 8 8 9 10 9 8 8 8 6 3 2 3 5 8 11 15 19 20 16 11 8 6 6 7 7 7 7 9 10 11 10 10 10 10 11 10 9 7 5 4 4 6 9 10 11 11 11 11 10 9 9 9 9 10 10 11 12 13 13 12 11 11 12 12 12 12 12 12 11 10 10 9 9 8 8 8 8 9 9 10 10 9 9 9 9 10 11 13 15 15 14 13 12 10 9 9 10 12 12 11 9 7 6 7 8 10 12 13 14 14 14 14 13 12 11 10 10 10 10 10 12 13 14 14 13 12 11 nan
nan 6 6 6 6 6 5 4 4 6 8 9 9 9 9 9 9 9 9 9 9 8 7 6 5 6 7 8 8 8 8 9 9 10 11 11 10 10 9 9 9 8 8 8 9 10 12 12 12 11 11 12 12 12 11 10 8 7 7 7 7 8 9 8 8 8 8 5 3 2 2 4 6 9 12 17 18 16 13 10 8 8 7 7 8 9 10 9 9 9 9 9 10 10 10 9 8 8 7 6 7 8 9 11 11 11 10 10 9 9 9 10 11 12 13 14 14 13 12 12 13 14 14 15 15 15 15 14 13 13 12 12 12 12 12 13 13 13 12 11 10 9 10 11 12 13 15 16 15 14 14 12 11 10 9 10 10 9 7 5 5 7 7 8 9 10 12 13 13 13 13 13 12 11 11 10 10 10 11 14 16 17 16 15 16 16 nan
nan 7 7 7 8 7 6 6 7 8 9 9 9 9 10 10 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 9 9 10 10 10 9 9 9 9 8 8 7 8 10 11 12 11 11 10 11 12 13 12 10 9 8 8 8 8 8 8 8 7 7 7 5 3 3 3 4 5 6 9 13 15 15 14 12 9 7 7 7 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 12 14 15 15 15 15 14 12 12 13 15 16 17 18 19 19 19 17 15 14 14 15 17 17 17 17 16 14 13 12 11 12 12 13 14 14 14 13 13 12 11 10 8 7 8 7 6 5 6 7 9 9 8 8 9 11 12 12 12 12 13 12 12 11 10 9 9 11 13 15 15 15 16 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
19 16 13 12 11 10 7 4 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 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 4 10 16 27 30 18 9 10 10 3 3 6 15 25 32 40 42 35 27 24 25 27 30 31 35 35 36 40 44 40 34 31 33 35 36 38 40 42 43 43 40 44 50 46 40 37 37 36 32 30 31 33 29 25 23 22 20 18 19 18 19 21 29 38 38 37 31 25 20 16 13 11 10 9 9 10 12 12 12 14 18 20 19 18 16 13 11 10 9 9 10 13 17 19 18 16 13 12 10 10 14
22 17 14 13 13 13 11 6 2 1 1 1 0 0 0 0 0 1 1 1 1 1 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 1 3 6 16 27 26 16 9 15 6 2 4 8 15 20 29 38 39 36 35 35 35 34 29 41 42 46 55 54 40 29 27 30 32 35 37 40 45 46 46 44 47 49 43 39 37 36 34 29 30 31 33 32 31 30 29 27 24 25 26 28 29 33 39 36 37 34 26 19 15 12 10 9 8 8 9 11 11 13 16 19 20 19 18 17 14 12 10 10 9 10 14 17 18 17 14 13 11 9 11 14
24 17 14 13 13 13 11 7 2 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 27 26 13 18 12 4 1 5 9 12 15 24 31 37 42 44 43 41 38 44 50 59 64 57 40 28 25 27 29 33 35 38 46 50 52 52 52 53 50 44 38 36 34 27 25 27 28 29 30 32 29 34 32 31 34 33 30 31 37 39 37 32 24 18 14 11 9 8 8 9 10 11 12 14 17 19 20 19 19 17 15 13 11 10 10 11 14 17 17 15 12 10 9 9 10 13
25 19 16 14 12 11 9 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 7 16 31 24 22 18 9 0 2 6 9 14 16 22 31 41 45 51 50 50 53 61 70 74 65 49 37 34 32 33 35 37 39 45 52 56 59 61 59 55 51 45 40 34 30 30 33 35 35 30 34 31 29 28 28 29 31 30 30 34 38 37 29 21 16 12 9 8 9 9 10 10 11 13 15 17 18 19 19 19 18 15 13 11 10 10 11 14 16 16 13 11 9 9 10 12 14
23 19 17 16 11 9 8 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 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 4 3 22 29 28 25 18 0 0 4 7 11 14 17 23 35 44 55 60 61 60 65 76 84 80 69 61 59 54 51 52 51 46 49 54 56 58 62 64 63 61 55 48 42 40 42 45 47 46 35 33 31 31 29 26 26 28 28 30 35 38 34 26 18 12 10 8 8 10 11 11 11 13 14 15 16 18 19 19 20 18 15 13 11 10 10 12 14 16 14 12 9 8 8 10 12 13
19 19 18 16 12 9 7 4 4 4 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 3 3 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 2 4 14 26 32 33 28 6 1 2 5 8 11 14 18 30 42 53 61 61 58 61 73 85 91 90 85 87 93 94 90 82 63 57 57 57 57 60 64 68 68 61 53 47 46 50 52 52 52 45 37 32 30 28 27 26 26 28 33 37 36 30 22 17 13 10 8 9 10 11 12 12 15 16 15 16 18 19 19 19 17 15 13 10 9 9 11 15 15 13 11 10 9 7 11 12 13
18 19 18 17 14 10 7 6 5 4 3 3 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 1 3 5 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 1 2 4 9 17 29 38 39 19 4 1 3 6 10 13 16 25 37 51 62 64 60 58 66 80 92 97 96 100 111 121 125 124 100 79 65 59 57 58 58 65 67 63 59 56 54 56 56 57 55 50 46 42 33 28 26 25 27 31 35 38 36 30 22 17 13 10 9 9 10 11 12 14 17 18 17 15 17 18 19 20 19 15 12 9 8 9 13 15 14 12 11 10 9 8 10 12 14
17 18 17 17 15 10 7 6 5 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 2 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 1 2 4 6 11 25 43 47 36 12 0 1 4 7 10 13 19 30 46 60 67 70 71 72 82 94 102 106 112 122 130 140 156 146 121 93 70 62 63 58 60 65 71 75 71 73 75 77 74 66 65 69 59 40 29 27 26 29 34 37 37 36 33 25 19 14 12 11 10 10 11 13 14 16 19 19 18 19 19 20 22 20 16 12 8 7 8 11 13 13 12 10 8 8 8 10 12 13
16 16 15 16 14 9 6 5 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 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 2 5 8 19 29 39 44 32 16 8 5 4 8 11 15 25 39 55 69 81 86 85 91 101 110 121 131 142 141 150 170 177 162 130 91 73 69 63 61 64 72 81 78 82 88 96 94 84 77 66 46 35 30 29 29 32 35 36 36 37 35 30 23 17 14 13 11 10 11 12 14 16 17 19 21 22 24 24 23 22 17 10 7 6 8 10 12 13 11 11 9 7 7 8 11 13
16 15 14 13 11 7 4 3 2 3 2 0 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 1 2 5 9 13 27 36 37 36 30 15 3 6 9 12 20 34 53 73 89 98 100 103 108 112 119 126 139 138 149 169 183 186 169 123 95 82 73 65 61 64 70 72 81 95 106 106 98 88 65 38 31 29 30 33 36 43 48 39 38 37 31 24 20 15 14 12 11 12 12 14 16 18 19 20 23 27 29 26 21 18 11 7 6 8 12 13 12 12 12 10 9 7 7 9 12
15 15 15 15 11 6 3 1 1 1 2 3 3 1 1 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 0 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 5 11 18 26 36 38 27 10 7 8 10 15 24 39 61 84 99 109 115 116 116 110 107 115 125 138 155 176 199 200 166 129 100 81 69 64 66 70 76 79 82 89 97 103 103 79 45 31 29 31 36 43 55 58 49 40 33 28 23 21 17 15 13 12 12 12 13 14 16 17 18 21 26 30 29 20 18 12 8 7 9 14 15 13 12 12 11 8 7 7 8 11
13 14 15 15 12 7 2 1 2 1 3 6 6 4 2 2 3 4 4 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 0 0 0 2 4 7 13 24 37 36 26 18 12 9 10 12 18 37 60 84 105 119 125 131 129 127 128 131 136 150 176 213 241 235 186 132 100 84 77 76 70 70 72 75 81 90 103 109 78 49 35 33 37 44 52 63 70 64 45 31 27 23 22 20 17 14 13 12 12 12 14 14 15 17 19 23 27 29 23 17 12 8 8 11 14 13 12 12 12 11 9 7 7 9 11
11 12 13 13 13 9 5 6 8 7 8 11 11 10 9 8 7 6 8 8 6 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 1 2 3 11 24 31 31 27 22 19 14 10 12 20 33 53 78 97 117 135 152 164 172 173 171 180 200 241 303 327 278 197 145 112 99 90 71 65 71 76 79 78 88 97 81 56 39 35 37 44 53 63 63 52 41 32 27 25 23 22 20 19 15 13 12 12 13 13 14 17 19 22 26 26 23 18 13 8 8 12 14 13 11 10 11 10 9 8 9 9 10
9 10 13 10 10 9 8 8 10 11 13 15 14 13 14 14 10 7 8 10 9 7 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 1 7 14 20 25 30 37 36 30 21 13 11 12 20 37 59 88 121 157 192 218 235 239 249 266 297 374 437 415 316 212 151 125 107 88 78 83 92 85 67 68 80 87 84 68 37 35 42 57 71 79 76 54 44 37 29 24 23 22 21 17 14 12 11 11 12 13 16 19 23 25 25 22 18 13 8 9 12 12 12 11 9 9 9 9 10 10 11 11
5 8 11 10 9 7 6 7 7 7 10 16 13 13 14 14 12 8 8 10 12 13 11 5 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 3 8 13 19 28 43 47 44 37 29 20 11 13 18 36 64 99 140 193 248 294 328 346 357 376 431 501 527 461 327 228 174 139 112 100 109 123 100 72 60 64 72 76 66 43 37 44 60 75 76 63 62 53 45 34 26 26 24 22 18 15 13 11 10 10 12 16 19 22 23 22 20 17 12 9 9 11 13 12 11 11 10 11 12 13 12 12 13
3 6 8 6 5 4 4 5 5 5 8 11 10 11 12 12 11 9 9 12 15 16 13 8 5 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 1 2 5 12 18 30 42 51 49 43 36 22 20 15 21 40 70 109 160 229 307 376 402 412 431 481 562 631 573 471 362 266 193 149 124 121 131 107 77 58 49 47 50 42 37 36 39 49 59 64 60 54 53 46 35 29 28 26 26 21 18 15 12 9 8 12 17 20 22 23 23 21 18 13 9 9 11 12 12 12 11 11 13 15 15 13 14 13
2 4 6 3 2 2 3 4 8 12 13 10 10 11 11 10 9 10 12 14 16 15 11 9 7 6 4 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 0 0 0 0 0 0 0 0 0 1 5 7 15 24 37 46 48 49 50 41 24 16 22 38 66 109 179 264 348 391 414 449 513 592 634 614 569 498 392 268 210 172 150 129 104 80 62 50 43 40 36 34 34 36 39 42 50 65 81 70 46 34 29 27 25 24 22 20 17 13 8 9 12 17 21 22 24 25 24 20 15 11 10 12 12 12 12 11 12 15 18 17 17 15 13
1 3 4 2 2 2 2 3 6 6 7 7 8 10 12 11 11 12 13 11 11 10 9 7 7 7 6 7 7 7 6 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 1 5 11 21 34 44 55 67 65 49 32 22 21 34 63 120 194 271 334 385 435 503 564 566 575 602 615 574 429 343 266 200 150 115 87 68 56 48 41 37 35 34 34 34 32 34 39 46 46 37 31 27 26 24 23 22 21 19 13 10 10 12 16 21 23 25 27 26 22 16 12 11 12 12 11 11 11 12 15 19 18 16 15 13
0 1 1 1 1 2 3 2 3 3 4 6 8 9 11 11 11 10 10 8 7 6 7 7 7 7 8 9 11 12 10 7 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 2 5 10 18 28 42 59 73 74 65 52 41 21 40 81 132 191 254 324 386 477 508 517 566 651 708 728 632 540 418 286 185 137 105 81 63 52 43 38 36 35 34 33 31 29 27 28 29 29 27 27 27 25 24 27 24 22 16 11 11 13 16 21 25 28 29 27 21 15 12 11 12 12 11 11 11 11 15 17 16 16 15 13
0 1 1 0 1 1 0 1 2 5 5 6 6 6 8 7 7 7 7 5 5 6 7 6 7 7 7 8 12 16 17 12 9 5 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 1 2 4 3 8 23 39 56 73 80 74 71 42 36 51 80 121 170 236 301 396 473 520 577 677 738 797 833 807 663 446 262 174 130 101 76 57 46 41 37 35 35 34 32 29 26 25 25 26 26 28 28 28 30 37 33 29 23 16 13 15 20 24 29 30 26 22 18 15 12 11 13 13 12 11 12 12 14 16 16 16 15 15
0 1 0 1 1 1 0 0 2 2 1 4 4 4 6 8 9 9 8 6 7 9 9 8 8 8 7 9 14 18 19 13 17 13 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 1 4 1 0 8 16 27 41 58 61 67 58 45 36 41 69 111 169 233 316 421 507 552 640 716 792 945 1060 988 712 436 251 167 124 95 70 52 43 39 36 35 34 34 33 32 27 28 27 27 28 28 27 31 35 33 29 25 22 17 21 24 29 34 32 23 20 18 15 13 12 12 11 11 12 12 13 14 16 17 17 16 16
0 0 0 0 0 0 0 2 1 3 3 4 5 5 5 7 10 10 11 11 11 12 11 10 10 10 9 11 14 17 18 16 16 13 8 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 1 3 2 2 3 6 14 27 37 45 49 48 39 27 41 74 121 176 240 324 441 545 650 695 726 891 1127 1206 1017 706 412 247 167 120 86 61 47 41 37 36 35 34 35 37 34 32 31 31 31 31 31 31 29 27 27 28 30 33 32 30 34 39 34 23 18 17 15 13 11 10 8 10 12 13 14 15 17 18 18 18 19
0 0 0 0 0 0 1 3 2 1 0 2 3 3 3 5 8 9 11 12 13 12 12 12 13 13 13 14 15 16 15 15 16 15 13 9 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 4 10 19 27 36 46 50 45 45 53 79 117 162 223 343 488 599 647 678 805 1058 1259 1229 998 680 427 264 164 112 79 60 48 42 39 36 35 33 35 37 37 35 34 34 34 34 31 28 28 30 32 37 39 36 34 38 42 36 25 19 17 15 12 11 13 14 14 15 16 17 16 17 17 17 18 22
0 0 0 0 0 0 0 1 3 2 2 1 1 0 1 2 3 7 10 12 12 12 13 14 16 17 17 17 17 18 18 17 17 17 17 16 13 10 8 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 4 10 17 24 35 49 58 58 51 54 78 120 165 248 378 509 601 648 713 900 1205 1314 1223 997 713 442 254 164 115 84 62 49 43 40 39 36 37 39 39 39 36 36 35 34 31 29 30 32 34 35 35 34 35 39 40 34 26 20 18 17 16 15 16 19 20 19 19 19 18 16 15 16 18 23
0 0 0 0 0 0 0 0 1 2 4 4 2 0 0 2 3 7 10 11 11 12 15 15 17 19 20 20 20 20 21 22 23 21 20 21 19 15 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 13 19 28 39 59 67 57 43 49 81 125 173 278 407 494 521 549 633 1015 1201 1239 1178 1010 698 452 293 193 130 91 64 51 47 44 41 41 40 39 42 42 43 41 37 35 33 33 34 36 34 31 31 34 37 37 33 28 24 21 19 19 25 30 32 29 26 25 22 19 17 17 16 20 25
0 0 0 0 0 0 0 1 3 5 6 6 3 2 1 3 6 8 9 9 9 11 14 14 16 18 21 22 21 20 22 24 27 28 25 24 23 18 14 7 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 1 3 10 19 24 28 48 63 57 37 27 49 83 120 193 289 357 348 369 424 664 907 1070 1174 1260 1020 765 529 340 210 140 97 74 60 51 45 43 41 40 42 44 46 46 45 43 38 35 35 35 34 32 31 33 35 35 33 29 26 24 22 25 33 38 37 32 30 28 26 23 21 19 16 21 25
1 2 2 1 0 0 0 4 7 10 12 11 8 5 3 3 4 6 8 10 11 15 15 14 16 19 22 24 23 20 22 25 27 27 25 22 20 15 10 9 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 18 20 33 50 55 46 21 31 56 89 140 215 298 255 269 304 404 587 830 1041 1231 1189 1067 858 581 348 227 160 115 86 67 56 52 47 44 42 43 46 49 51 49 43 37 36 36 35 33 32 34 34 35 34 31 28 27 25 26 31 38 42 34 31 30 29 26 24 23 21 24 25
6 7 6 4 3 2 4 8 9 12 14 15 14 11 7 5 2 3 6 11 15 18 17 17 18 21 22 21 19 22 25 24 23 20 17 17 16 15 12 10 9 7 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 1 5 10 21 37 49 48 28 25 41 71 111 153 240 229 232 262 311 387 606 839 1030 1153 1230 1172 853 570 382 257 175 124 97 82 70 61 53 46 44 45 48 51 50 46 42 40 40 40 39 38 38 39 39 39 38 33 30 28 28 32 40 52 45 38 36 34 30 29 24 24 26 26
10 9 8 8 8 9 16 13 11 14 18 21 20 16 13 12 7 4 7 10 13 17 18 18 19 20 20 20 25 29 31 29 27 24 16 14 14 14 12 9 7 6 8 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 1 4 10 20 35 46 40 31 32 51 86 109 174 213 235 261 304 290 419 606 796 973 1156 1322 1155 881 610 406 273 187 139 110 91 76 63 52 46 45 45 47 48 47 46 46 45 44 45 45 44 45 45 44 43 39 34 31 31 37 49 56 55 52 48 42 35 30 27 27 27 28
15 15 15 15 15 15 14 15 15 18 22 24 24 21 19 17 13 9 9 10 12 16 19 18 18 18 17 18 23 27 30 30 27 24 19 15 14 13 12 10 6 2 6 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 1 6 15 26 35 36 30 35 65 83 119 166 209 244 303 314 359 456 600 793 1041 1353 1392 1243 942 635 436 301 213 155 119 95 75 60 52 48 47 47 47 48 48 48 47 47 48 48 48 49 48 49 48 46 43 39 36 40 48 56 60 58 51 43 40 37 35 33 32 33
17 20 22 22 22 19 16 15 18 22 26 29 30 28 24 22 18 15 13 13 15 17 15 13 14 16 18 22 27 28 29 29 27 27 22 18 15 15 14 11 7 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 19 27 33 52 70 96 136 182 234 299 338 356 395 492 640 818 1064 1326 1417 1248 931 669 447 318 233 176 134 101 75 64 56 51 50 50 51 51 50 49 49 50 50 52 54 54 53 52 52 51 47 41 42 47 54 58 56 50 45 44 43 41 38 36 37
19 26 28 25 23 20 17 19 23 28 31 33 34 32 30 29 27 22 18 17 19 20 17 14 14 18 21 21 22 23 24 25 26 26 25 22 18 17 16 14 10 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 1 2 5 15 25 38 53 67 85 115 159 224 278 310 327 365 437 499 565 707 1021 1284 1342 1230 1005 663 467 352 257 184 135 101 82 70 63 58 54 53 53 53 54 54 54 54 58 60 60 56 53 54 53 48 44 43 46 52 55 57 56 53 51 49 47 45 41 41
36 39 36 29 26 26 27 28 31 35 37 38 35 33 34 35 33 30 24 17 18 19 19 18 17 18 17 17 18 18 19 21 23 25 26 24 21 19 19 17 13 7 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 3 14 29 43 54 62 73 93 131 173 225 266 303 357 403 400 437 529 708 945 1161 1316 1268 983 698 498 346 241 178 135 106 86 73 63 55 53 53 54 56 58 60 62 64 66 64 60 55 57 55 51 47 48 53 56 59 67 71 70 65 59 55 53 49 46
40 38 36 34 31 30 31 32 35 38 41 41 37 33 33 34 33 29 21 14 15 17 18 19 20 16 17 17 17 18 18 19 20 23 23 22 21 20 21 20 19 12 6 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 1 9 22 36 50 63 75 84 107 134 171 218 271 338 380 364 381 423 475 599 835 1112 1256 1192 976 699 464 336 245 182 140 110 84 70 62 58 56 55 57 59 61 63 66 69 70 65 64 63 60 56 53 54 57 60 67 77 81 78 72 65 62 60 56 51
53 45 42 39 36 34 36 36 36 38 39 37 33 29 28 30 31 28 21 15 14 16 18 20 23 22 22 21 21 21 21 20 19 21 22 21 20 20 19 15 15 15 11 7 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 1 8 20 37 59 76 80 87 99 118 153 203 271 318 325 323 322 322 378 561 838 1106 1271 1251 971 677 484 339 236 172 135 108 90 76 68 63 58 59 58 59 63 66 70 73 73 72 68 64 60 57 57 59 63 71 77 77 74 70 67 65 63 61 57
62 53 47 41 39 38 37 35 34 34 35 28 27 25 25 26 28 30 27 20 17 16 18 21 26 28 28 27 27 27 25 22 20 21 20 19 17 17 15 9 11 14 13 8 3 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 2 5 8 17 36 51 59 66 71 79 96 120 163 202 233 254 258 240 257 367 578 868 1183 1410 1202 955 695 465 308 217 173 142 119 97 81 73 65 60 58 59 60 64 68 72 75 75 71 67 63 61 60 61 63 67 70 70 70 68 68 67 66 65 62
56 50 46 42 41 39 38 36 31 27 28 23 22 21 21 22 24 28 29 21 16 14 15 19 25 31 35 35 33 32 30 24 22 20 18 16 15 13 9 4 5 8 11 8 2 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 3 11 18 26 37 49 63 70 76 94 120 153 202 243 233 220 250 360 572 868 1130 1204 1133 934 642 419 297 224 179 149 125 102 87 75 68 64 62 60 62 65 70 74 75 72 69 67 64 62 61 62 64 67 67 68 69 69 68 67 67 64
51 45 43 45 41 37 33 31 27 23 23 23 20 18 18 18 20 25 28 26 21 16 16 18 25 31 36 38 37 35 33 27 24 22 20 18 17 10 6 4 5 6 7 6 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 22 42 52 59 71 92 127 174 217 233 232 227 241 351 530 755 958 1075 1019 750 545 406 309 237 188 157 130 110 92 80 72 66 63 62 64 68 72 74 74 74 71 67 63 60 61 62 64 66 67 68 68 68 68 65 62
52 51 52 46 39 33 30 29 28 23 22 23 21 18 14 12 15 20 28 24 19 16 15 14 18 23 30 35 36 35 33 31 28 26 23 19 16 11 8 5 2 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 19 30 43 58 75 101 140 185 230 265 270 237 260 318 428 604 794 859 771 642 505 384 293 233 188 155 133 115 98 85 75 70 67 68 71 75 79 83 83 80 75 69 65 65 66 67 68 68 70 70 69 67 62 58
41 44 44 41 36 32 29 28 26 20 20 21 21 18 13 11 16 18 23 22 18 13 12 11 14 20 27 33 36 37 33 31 30 30 27 20 13 8 5 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 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 2 7 16 30 50 75 100 125 161 210 264 295 274 248 237 254 338 518 627 662 639 553 423 326 262 217 181 155 136 119 104 91 82 78 76 73 74 82 90 91 88 83 79 75 74 73 70 67 64 67 67 66 63 59 55
23 27 29 30 29 27 24 21 20 19 19 20 21 17 13 14 18 17 18 19 15 10 10 13 19 23 27 31 34 34 32 35 34 31 26 20 12 5 2 4 8 8 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 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 1 3 11 28 50 79 110 134 157 192 241 281 287 263 230 219 251 334 421 530 605 576 465 355 294 251 214 182 159 139 122 106 95 88 85 84 83 87 93 96 94 90 86 83 82 80 76 72 66 64 62 60 58 59 58
9 13 15 18 18 18 17 16 16 18 20 21 21 19 15 16 18 18 19 18 14 10 12 15 17 21 26 30 32 33 34 37 33 26 18 11 4 1 0 4 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 14 30 48 70 98 127 149 177 215 238 255 255 226 206 217 257 314 389 450 471 434 384 337 290 247 212 184 159 138 120 106 97 93 91 89 94 101 103 99 95 91 89 87 84 80 77 71 65 64 65 64 66 65
4 6 6 6 7 9 11 11 13 17 20 21 22 24 24 23 20 18 17 14 13 17 16 18 20 22 25 30 33 34 36 37 32 22 11 4 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 22 33 43 57 77 105 127 161 188 202 211 209 189 176 186 220 261 296 318 326 337 360 347 308 272 236 204 179 158 137 119 107 102 100 101 104 107 107 103 98 95 92 88 82 78 76 72 69 70 69 65 63 63
2 2 2 2 3 5 6 7 11 14 17 19 22 23 22 20 15 9 11 14 16 16 15 16 17 17 18 21 23 22 24 27 24 15 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 0 0 1 7 16 28 37 42 50 69 94 124 154 173 183 186 178 165 153 161 188 222 251 279 310 332 341 332 303 286 255 232 209 184 163 142 124 114 111 110 110 111 110 109 107 103 95 87 82 81 82 85 85 76 68 64 66 71
1 1 1 1 2 2 2 3 5 5 7 9 10 9 6 6 4 1 2 4 7 10 10 8 7 5 5 7 8 6 7 8 9 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 31 44 53 60 72 95 125 148 164 173 181 184 181 165 159 168 186 222 259 302 336 350 343 306 283 262 245 226 207 191 170 151 136 128 125 120 120 119 116 113 110 100 97 95 91 88 87 81 77 78 78 80 83
0 1 1 1 1 1 1 1 1 1 2 2 2 2 0 0 0 0 0 0 0 0 1 1 2 1 2 3 2 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 28 44 60 74 84 101 120 139 153 163 180 191 196 190 176 162 166 205 245 283 315 331 334 297 272 258 245 228 214 199 188 178 166 151 136 133 130 127 123 117 113 107 102 101 99 94 91 89 93 96 95 92 89
1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 0 0 0 0 1 1 1 2 2 1 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 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 1 4 11 22 36 53 69 89 110 129 141 150 162 182 195 203 208 200 171 167 193 232 269 294 294 291 274 260 251 241 223 208 200 193 185 176 155 147 144 140 135 130 120 111 105 102 100 97 93 95 100 105 106 102 96 87
1 1 1 1 1 1 1 1 2 2 2 2 2 1 0 0 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 12 21 33 48 66 92 119 139 146 152 170 192 213 226 230 219 186 172 185 221 263 284 278 270 263 262 262 244 232 219 206 194 181 172 164 159 154 147 138 129 121 114 107 102 99 96 96 100 103 105 104 101 94 87
1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 1 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 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 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 1 1 3 8 16 24 34 51 73 103 134 154 152 158 176 199 223 242 243 224 198 184 194 225 261 272 268 261 257 250 249 238 223 210 199 189 180 175 172 163 151 141 130 124 119 114 107 100 99 101 100 99 98 96 96 94 93 93
1 1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 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 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 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 1 1 2 5 13 24 32 42 60 87 119 148 159 157 163 180 203 224 240 235 219 197 186 200 224 244 251 252 251 247 230 218 206 195 186 182 183 180 173 163 147 133 125 119 117 115 112 108 105 112 113 107 101 98 94 97 99 102 105
1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 1 1 1 1 1 2 1 1 1 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 9 17 32 42 54 69 90 121 142 151 155 164 184 213 227 232 226 209 187 172 181 196 211 230 246 245 233 216 198 185 177 168 169 168 163 152 134 119 113 109 110 114 120 125 124 131 139 134 122 117 118 113 116 121 124 123
2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 2 3 3 2 2 1 1 1 2 2 2 2 3 5 5 5 5 5 4 4 3 2 2 1 1 0 0 0 1 1 1 2 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 1 2 3 5 8 13 22 37 48 60 80 110 144 152 153 156 163 180 215 236 241 231 210 181 156 148 154 188 235 262 255 236 211 188 174 168 163 157 146 136 127 121 113 106 103 107 118 131 131 127 134 136 128 121 131 129 129 133 141 147 152
3 3 2 1 1 2 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 5 5 6 7 8 7 7 7 8 8 8 6 5 3 2 1 0 0 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 10 15 27 41 54 71 107 142 157 158 159 166 180 206 238 260 260 237 198 157 136 138 169 224 266 272 255 226 196 174 170 167 154 139 127 120 117 113 107 101 99 100 101 101 102 98 98 99 96 98 108 114 120 127 134 139 149
4 3 3 3 2 2 2 2 1 1 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 2 3 3 4 5 5 4 5 4 4 5 5 4 4 3 4 4 4 5 5 6 6 6 7 7 8 9 9 9 10 10 10 8 8 6 4 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 8 12 19 31 44 58 78 112 139 147 146 149 166 181 210 259 264 230 198 159 138 147 183 235 274 268 246 212 182 163 147 136 129 119 108 99 96 95 95 94 94 91 87 81 68 64 67 72 77 81 86 92 98 101 110 113 111 109
4 3 3 4 4 3 3 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 3 3 2 1 2 2 3 4 5 5 6 7 9 9 9 8 7 5 5 6 6 4 3 4 5 5 6 6 7 7 7 8 9 10 11 11 11 11 10 9 8 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 1 3 6 10 14 13 15 23 35 48 61 84 115 133 135 127 123 129 134 141 137 139 155 166 168 184 214 245 262 250 219 188 158 134 118 97 78 71 66 62 59 59 65 70 74 77 76 70 63 56 54 58 64 74 79 83 88 90 88 95 97 95 87
4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 1 1 2 2 2 1 2 4 5 3 1 1 2 2 3 3 5 6 8 11 13 16 14 12 9 8 8 9 9 7 6 5 6 7 8 9 9 9 10 11 10 10 11 12 13 11 10 9 8 8 8 7 4 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 7 9 13 17 18 19 27 40 52 67 96 123 134 129 112 102 96 103 111 120 135 151 167 186 215 243 243 213 168 147 131 111 88 63 42 32 28 26 26 29 31 38 45 50 53 51 47 45 47 53 60 68 78 84 87 87 87 82 83 85 84 79
3 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 2 3 3 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 3 3 4 4 2 1 2 2 3 3 4 6 8 10 12 15 19 17 15 13 12 14 17 15 14 13 11 11 12 13 14 14 14 15 16 15 14 14 15 15 13 12 11 10 9 7 6 3 1 1 0 0 0 0 0 0 1 2 2 2 2 1 1 1 0 0 0 1 1 0 1 0 1 1 1 1 3 3 5 7 10 13 18 22 26 26 32 46 58 78 98 109 110 107 97 91 93 101 112 122 129 132 136 144 157 170 171 157 133 112 93 72 52 30 19 16 15 14 15 16 17 18 21 24 27 26 27 31 41 57 66 73 79 82 83 80 79 76 75 76 75 71
3 3 3 3 3 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 5 3 2 2 3 3 3 3 5 6 6 6 6 6 6 6 6 6 5 4 4 5 4 4 4 4 4 5 7 9 12 14 17 17 16 14 14 17 20 20 19 18 17 18 18 17 18 19 19 19 21 19 17 17 17 16 14 13 10 8 5 4 2 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 3 4 4 6 9 12 18 22 27 32 33 34 48 72 88 96 98 95 89 83 82 83 85 81 72 64 65 69 74 82 92 102 102 89 67 48 37 27 19 14 12 11 10 10 10 10 10 10 10 12 13 15 20 32 55 67 74 78 80 83 76 72 69 68 70 70 67
3 2 2 1 1 1 2 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 7 7 7 8 8 7 7 6 6 6 7 7 7 7 7 6 6 6 5 6 8 11 12 13 13 13 12 13 17 19 18 16 14 13 16 17 17 17 17 17 17 18 19 18 17 16 13 11 8 6 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 2 1 1 1 1 1 1 2 2 3 3 4 6 8 12 16 22 27 32 30 23 21 31 42 60 76 75 70 67 60 53 44 32 21 20 19 20 23 28 33 39 45 46 39 28 18 14 12 10 9 9 8 8 8 8 8 8 7 7 7 8 9 11 28 48 65 76 82 84 86 81 73 65 62 65 67 65
3 2 2 1 1 1 2 3 3 4 5 4 3 3 2 2 2 2 3 2 2 2 2 2 3 3 3 4 3 3 3 3 3 3 4 5 6 7 7 7 7 9 9 8 7 6 6 5 5 6 7 7 7 7 7 6 5 4 5 7 8 8 9 10 11 10 11 10 7 6 5 5 7 7 8 8 8 9 10 11 12 12 11 10 8 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 4 3 2 1 1 1 1 2 2 2 3 4 5 7 9 13 17 22 26 26 21 12 4 5 9 23 41 48 44 38 34 29 23 17 12 9 8 8 7 8 9 12 14 12 11 11 10 8 7 6 5 5 5 5 5 5 6 6 6 5 5 6 6 6 9 24 45 63 77 86 87 85 77 67 62 60 61 63 65
3 2 2 2 1 1 2 2 2 3 5 3 3 3 3 3 3 3 2 2 1 1 1 1 2 3 3 3 3 3 2 2 3 3 4 5 6 7 7 7 8 9 10 9 7 6 4 1 2 5 6 7 7 6 5 4 3 2 3 3 3 4 6 8 8 6 4 2 1 1 1 2 2 3 3 3 3 4 4 5 6 6 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 1 2 2 2 2 3 5 8 11 14 17 20 26 26 18 9 3 0 0 1 5 10 11 22 20 17 16 14 10 8 6 6 6 6 5 5 6 6 6 6 5 5 4 4 3 4 4 3 3 4 4 4 4 4 4 5 5 7 8 14 28 47 60 76 84 84 80 72 60 57 58 61 64 66
3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 4 3 3 2 1 1 0 0 1 2 3 3 3 3 3 3 3 3 4 5 6 7 7 7 7 8 9 9 9 8 6 4 6 6 6 5 5 5 4 3 2 2 2 1 2 2 2 2 3 3 2 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 1 1 1 2 2 2 2 6 8 11 14 16 17 20 18 11 3 1 0 0 0 0 0 2 5 16 18 17 15 13 11 9 7 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 6 7 7 11 15 25 40 57 67 78 81 79 77 68 60 58 59 61 63 67
3 3 3 2 1 1 1 1 2 2 2 3 3 3 4 4 4 3 2 2 1 0 0 0 1 1 1 2 3 3 3 3 4 4 4 5 6 7 7 7 8 8 9 9 8 7 6 6 6 6 6 6 5 3 2 1 1 1 1 1 1 1 2 2 3 3 2 1 1 1 0 0 0 0 1 1 2 2 2 2 3 3 3 3 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 3 2 1 2 2 2 3 5 7 9 11 12 13 14 14 9 2 0 0 0 0 0 0 0 0 3 11 16 17 14 12 10 9 8 7 7 5 4 3 2 3 3 2 2 2 2 2 3 2 2 2 2 2 3 4 6 7 9 11 13 16 21 31 48 61 72 78 82 84 78 71 66 65 66 68 73 77
2 2 2 1 1 1 1 1 1 1 2 2 3 3 4 5 5 4 3 2 1 0 0 1 1 1 1 1 2 3 4 4 5 5 5 6 6 7 7 7 7 8 9 9 8 8 8 8 8 8 7 7 5 3 1 1 1 0 0 1 1 1 1 1 2 2 1 1 1 0 0 0 0 1 1 1 1 1 1 2 2 2 3 4 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 2 4 5 7 7 7 7 7 9 8 4 1 0 0 0 0 0 0 0 0 3 9 15 15 12 10 8 7 6 6 5 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 5 7 8 10 12 13 14 17 28 46 61 75 81 81 84 80 75 74 77 81 83 86 90
4 4 3 2 2 2 2 2 2 2 2 2 3 4 4 5 6 6 6 5 3 2 1 1 1 1 1 1 2 3 4 5 6 6 6 6 6 6 7 7 8 9 9 9 9 8 8 8 7 7 5 5 3 2 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 2 3 4 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 2 3 4 4 4 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 3 8 14 10 10 9 7 6 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 6 7 8 9 9 9 11 18 29 44 60 72 79 81 83 82 80 82 89 95 97 100 102
3 3 3 3 2 2 2 2 2 3 3 4 5 6 6 6 7 8 7 6 4 2 1 1 1 1 1 1 2 4 5 6 6 7 7 7 7 7 7 8 9 8 8 8 8 7 7 6 5 5 3 2 2 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 4 5 5 6 5 3 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 2 2 2 2 1 2 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 2 7 7 7 8 7 5 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 6 7 7 7 8 10 13 22 37 50 59 65 72 75 76 78 82 88 96 102 103 101 100
2 3 2 2 2 1 1 2 2 3 4 5 5 6 6 6 8 8 7 6 5 4 3 2 2 1 1 1 3 5 5 5 6 7 7 6 6 6 7 9 8 8 7 6 6 6 5 4 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 5 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 2 1 1 2 1 1 2 2 3 3 2 1 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 5 7 9 11 12 14 21 31 44 53 58 63 67 72 74 77 82 85 89 95 96 92 87 83
1 2 2 2 1 2 2 3 3 3 5 5 5 5 5 6 7 7 6 5 4 5 5 3 2 1 2 3 4 4 5 5 6 6 6 5 6 7 8 8 7 6 5 4 5 5 5 4 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 3 4 4 3 2 2 2 1 0 1 0 0 0 0 0 0 1 2 2 2 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 1 2 1 1 3 5 3 2 2 2 2 2 2 2 3 3 4 4 4 5 4 3 3 4 4 4 5 6 7 11 15 19 23 27 33 42 50 58 61 62 64 68 72 73 75 78 82 85 88 88 85 77 69
2 2 2 2 1 1 2 2 3 3 4 4 5 5 4 5 5 5 5 5 5 5 4 2 2 2 2 3 3 4 4 5 5 5 5 6 7 7 8 7 6 5 4 3 3 3 4 3 3 2 2 2 2 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 2 2 2 1 1 2 0 1 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 1 1 1 1 0 0 0 0 0 0 1 2 1 1 1 1 3 3 2 2 2 2 2 2 2 3 3 4 5 6 6 6 6 6 6 7 7 8 10 14 20 27 33 38 43 48 52 56 60 61 62 66 69 69 68 68 74 78 80 78 73 67 62 56
2 3 3 2 1 1 1 2 2 3 3 4 5 5 4 5 6 6 6 5 5 3 2 2 2 2 3 2 3 3 4 5 5 5 6 7 7 7 8 6 4 2 3 2 1 2 3 2 2 2 2 2 2 2 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 0 0 0 0 0 2 3 1 1 0 0 1 2 2 1 1 1 1 1 2 2 3 5 6 8 10 11 11 11 12 13 14 17 20 24 29 34 41 46 49 51 54 57 60 63 65 69 71 68 64 64 68 70 67 59 52 46 45 42
2 2 2 2 1 1 1 3 4 3 3 3 4 4 4 4 4 5 5 4 3 3 3 3 3 3 2 2 3 4 4 5 5 6 7 8 7 6 6 4 2 1 2 1 2 2 2 2 2 1 1 1 2 2 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 1 2 3 5 8 11 13 16 18 19 20 20 21 23 25 28 32 37 41 45 48 51 54 56 56 59 62 63 65 63 56 50 51 56 57 52 43 39 35 32 28
3 2 1 1 0 0 1 3 3 4 3 3 3 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 4 4 5 6 7 8 7 6 5 5 3 2 2 1 2 2 2 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 6 9 13 16 19 21 23 24 25 24 24 26 30 35 40 42 43 43 44 47 50 50 52 51 50 50 49 46 45 42 44 47 46 45 42 37 33 31 27
2 1 1 0 0 0 1 2 3 3 3 2 1 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 4 5 7 7 6 5 4 3 3 2 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 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 1 2 3 3 4 6 9 13 16 19 21 23 23 23 22 21 22 26 30 34 36 37 34 35 35 36 37 35 32 35 38 39 38 38 42 46 46 45 39 41 39 35 34 31 28
1 0 0 0 0 1 2 2 2 2 2 1 1 0 1 1 1 1 1 1 2 2 2 2 1 1 1 2 2 2 2 3 4 5 5 4 4 3 1 1 1 1 1 1 1 2 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 8 11 15 17 18 19 20 20 20 20 21 20 23 25 25 23 24 24 27 29 28 28 32 31 33 37 39 41 43 45 47 48 47 42 40 38 36 33 31 29
0 0 0 0 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 2 1 2 3 4 4 4 2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 7 10 12 13 14 16 16 15 16 16 15 16 18 18 19 18 22 25 27 24 28 33 36 38 39 42 44 44 45 46 47 46 43 40 38 36 33 30 27
0 0 1 2 3 3 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 3 4 5 6 8 8 10 11 12 12 11 11 11 11 12 14 18 20 22 25 27 27 31 34 36 38 38 41 41 40 42 45 40 36 33 30 28 29 28 25 22
0 0 0 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 1 1 0 1 0 0 0 0 1 2 3 4 3 4 5 6 7 7 7 7 8 9 9 9 14 18 21 22 24 26 26 27 29 30 31 32 31 30 30 30 29 27 26 24 22 22 22 21 19 19
2 1 1 1 1 2 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 2 2 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 5 5 5 6 7 8 7 8 12 16 18 18 19 19 20 19 19 20 20 20 19 18 18 20 21 20 19 18 18 18 18 18 16 17
7 5 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 4 5 6 8 8 7 9 11 13 14 13 12 12 12 11 11 12 13 13 13 13 13 14 15 16 15 14 13 13 13 13 12 12
8 5 2 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 6 7 7 6 6 6 6 7 7 7 7 7 6 6 7 8 9 10 11 11 11 11 11 12 10 8 8 7 7 8 9 9
6 3 2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 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 1 1 1 1 1 1 1 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 1 2 3 4 4 5 5 4 3 3 2 2 3 3 4 4 4 4 5 6 7 8 8 8 9 9 7 6 6 5 4 5 6 7 7 8 7
6 3 2 2 2 2 1 1 1 2 2 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 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 1 1 2 2 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 1 0 1 1 2 2 3 4 5 7 9 8 8 7 6 5 4 4 4 4 5 5 6 6 7 7 7
9 7 4 3 4 4 3 3 3 4 4 4 4 4 4 3 2 2 2 2 2 2 2 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 1 1 1 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 1 1 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 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 1 2 3 4 5 6 8 7 7 6 5 4 4 3 3 4 4 5 5 6 6 6 7
12 9 6 5 5 5 6 6 7 6 6 5 6 6 5 4 4 3 2 2 2 3 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 2 2 2 2 2 2 1 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 1 2 3 5 6 7 7 7 6 5 4 3 3 3 3 3 3 4 4 5 5 5 6
8 7 8 9 9 9 9 9 8 8 7 7 6 6 6 5 4 3 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 2 3 4 4 4 2 1 1 0 0 0 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 6 6 6 5 4 3 4 4 3 3 3 3 3 2 3 3 3 4
7 8 9 10 11 10 10 9 8 9 8 8 8 7 7 6 5 4 3 2 1 1 2 1 1 1 1 1 1 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 1 1 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 4 5 5 5 5 5 4 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 4 3 3 3 3 3 2 2 2 2 2 2 2 1 2
8 9 10 11 12 11 12 11 10 10 9 9 8 8 7 7 5 4 3 3 2 1 1 1 1 1 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 1 2 3 4 4 6 6 4 2 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 5 5 5 5 6 4 3 3 2 1 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 1 1 1 1 0 0 0
11 12 12 12 12 12 12 11 10 9 9 8 8 8 7 6 6 6 6 6 5 4 3 3 2 1 2 1 1 1 1 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 1 3 6 7 8 8 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 5 4 5 5 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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
10 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 8 8 8 8 6 6 5 4 3 1 1 1 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 9 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 5 7 8 9 11 12 12 12 11 11 11 11 11 11 10 9 9 8 8 7 7 5 3 3 2 2 2 2 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 2 5 8 12 11 8 6 8 4 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 3 6 8 10 12 13 13 13 13 12 13 12 11 11 11 10 9 9 9 9 6 6 6 5 4 4 2 1 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 2 4 7 11 17 18 17 16 15 13 9 6 7 6 4 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 5 8 9 13 14 15 16 16 16 15 14 14 14 13 13 13 12 11 9 9 10 10 9 8 5 3 1 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 11 16 15 15 17 18 18 19 17 15 12 8 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 1 1 1 3 4 5 8 11 13 16 17 18 17 16 16 16 15 16 17 16 14 12 11 12 13 13 10 9 6 3 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 8 10 12 13 14 16 17 18 18 17 14 10 8 6 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
0 0 0 0 1 1 1 2 2 3 4 6 8 12 15 16 17 18 18 18 18 18 19 19 18 14 13 13 12 12 12 10 6 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 1 3 6 7 8 9 11 12 12 12 12 12 10 10 10 9 6 5 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 0 0 0 0 0 0 0 0 0 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 3
0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 11 15 18 20 20 20 20 21 22 22 20 17 14 12 12 13 11 9 7 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 1 3 5 6 8 9 9 9 9 9 9 10 11 11 12 12 10 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 0 0 1 2 2 3 4 4
0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 16 17 19 19 20 23 21 22 20 18 15 15 14 13 12 9 5 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 1 2 3 5 6 6 6 7 7 8 9 10 11 12 13 13 14 15 12 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 0 1 1 2 3 3 3 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 9 12 14 15 17 19 17 18 19 19 16 13 9 8 8 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 2 2 2 2 2 3 4 5 5 6 7 7 8 9 11 11 11 10 4 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 1 1 1 1 2 2 3 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 7 9 13 15 15 14 14 15 12 8 5 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 1 2 1 2 2 3 4 5 7 9 11 13 16 14 7 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 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 1 1 1 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 9 11 11 9 8 7 6 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 1 1 2 3 5 8 10 12 12 13 14 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 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 1 1 1
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 5 4 3 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 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 9 10 12 16 10 7 4 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 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 1 1 1
1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 3 6 8 9 9 9 8 8 8 4 1 0 0 0 0 0 1 1 1 2 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 3 5 5 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 1 1 1
2 3 3 3 3 3 4 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 7 7 8 8 5 4 2 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 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 4 6 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 1 1 1 1
4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 7 8 9 9 7 4 1 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 1 1 1 0 1 2 1 1 0 0 0 0 0 0 0 0 1 3 7 7 5 3 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
5 4 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 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 1 2 3 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 7 6 4 3 3 2 2 1 0 0 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 2 6 7 6 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
3 3 3 4 4 4 4 4 3 2 1 1 1 1 0 0 1 1 2 2 3 2 3 4 5 5 4 3 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 2 3 7 8 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 14 12 9 6 5 6 7 6 5 4 4 3 2 3 4 4 4 3 3 3 2 1 2 2 2 1 0 0 0 1 1 2 2 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 3 6 8 7 4 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 1
3 4 4 5 5 5 5 4 4 4 2 2 1 1 1 1 1 2 2 2 2 2 3 4 5 6 6 6 5 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 1 3 7 10 12 11 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 15 22 23 20 16 11 9 9 8 8 9 9 9 8 9 8 8 9 9 12 15 16 12 10 6 3 2 2 1 1 1 2 1 1 1 1 1 1 0 0 0 0 1 2 1 1 1 2 1 0 0 1 1 1 0 0 0 3 7 9 8 5 3 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 1 1 1
3 4 4 6 6 6 6 5 4 4 3 3 2 1 1 1 1 1 1 1 2 3 4 6 8 7 7 7 6 6 5 3 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 1 4 8 11 12 15 14 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 17 23 24 19 18 15 12 11 10 8 9 10 11 10 9 10 12 14 17 23 28 29 27 22 17 13 12 9 7 4 1 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 3 4 4 5 5 4 4 2 0 0 1 4 8 11 9 6 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
4 5 5 6 7 7 7 6 5 4 3 3 2 2 1 2 1 1 1 2 2 2 3 5 8 8 7 7 7 6 5 4 3 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 1 3 7 11 13 16 17 14 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 16 18 17 15 14 14 13 12 12 12 13 12 12 14 17 19 22 25 28 29 28 27 25 27 30 24 20 13 5 2 1 1 1 0 0 0 0 0 0 0 0 2 4 6 8 8 8 8 7 5 4 3 1 0 1 4 8 10 9 7 5 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
4 4 4 5 6 6 6 6 5 3 3 3 2 2 2 5 2 1 1 2 1 1 2 5 7 8 7 7 7 6 5 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 2 6 11 14 17 19 20 18 14 4 1 0 1 2 0 0 0 0 0 1 1 0 0 0 0 1 3 11 13 14 14 15 16 16 14 13 12 12 14 15 17 19 18 18 19 19 19 20 20 19 20 23 23 21 18 14 12 9 7 7 6 5 5 5 4 3 2 5 8 11 12 11 9 7 6 5 4 3 2 1 1 1 3 4 6 7 6 4 3 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
4 4 4 4 4 4 5 6 6 5 4 3 2 1 1 2 1 1 1 1 0 1 2 3 6 6 6 6 6 6 6 5 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 1 1 1 1 0 0 0 0 0 0 1 3 7 14 19 23 25 26 23 17 8 3 1 2 3 3 3 2 1 1 1 0 0 0 0 0 0 0 2 5 9 12 13 15 14 14 14 13 14 15 14 13 13 11 11 11 10 11 12 11 11 11 11 11 11 12 12 14 16 16 15 13 13 15 18 17 15 16 17 16 14 12 9 6 4 4 4 3 2 1 1 1 1 1 2 4 5 5 3 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
4 4 4 3 2 2 4 5 4 3 2 1 0 0 0 0 0 0 0 0 1 1 1 2 4 6 6 6 6 6 6 5 3 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 1 1 2 2 2 0 0 0 0 1 1 3 7 12 19 24 29 31 27 17 8 2 1 4 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 1 3 5 10 12 12 10 11 12 12 10 8 6 5 4 3 3 3 3 3 3 4 4 3 3 2 3 5 7 9 10 10 10 10 12 15 15 15 14 13 11 9 8 6 5 5 4 2 1 1 0 0 0 0 0 1 2 3 3 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
3 4 3 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 6 6 5 4 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 1 2 2 1 0 0 1 3 6 7 8 11 16 22 28 31 27 18 8 1 2 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 5 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 5 6 6 6 7 8 6 5 4 4 3 3 2 1 1 0 0 0 0 0 0 0 1 1 1 1 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
2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 5 6 6 6 5 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 1 1 0 0 1 2 3 4 7 9 13 18 24 27 27 21 11 1 3 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 2 1 1 1 2 3 3 2 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 2 4 4 4 5 6 6 6 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 1 2 3 5 6 7 8 10 13 18 22 25 24 16 3 0 0 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0