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 10 11 12 13 15 16 16 16 16 16 15 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 12 11 10 10 10 11 11 10 10 10 9 8 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 9 10 10 9 9 9 9 8 8 7 9 10 11 10 8 5 5 5 5 6 6 6 6 6 7 8 8 8 7 7 8 8 8 9 10 10 10 10 10 9 8 7 nan
nan 10 10 11 13 14 15 15 15 15 14 13 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 9 9 8 8 7 8 8 8 8 8 8 9 9 10 9 9 9 10 10 10 11 12 12 12 11 11 10 10 10 11 11 11 11 11 12 12 13 13 13 12 11 10 10 10 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 8 9 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 9 9 8 8 9 10 10 9 9 9 9 8 8 8 9 10 11 11 8 6 5 5 6 7 7 6 6 6 6 7 8 8 8 9 9 8 8 9 10 10 10 10 10 9 9 8 nan
nan 10 10 11 12 13 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 9 8 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 11 11 11 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 7 8 9 10 9 9 9 9 9 8 8 8 9 11 11 9 8 6 5 6 7 7 7 7 7 7 7 8 8 9 10 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 10 10 10 11 12 12 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 6 6 7 8 8 9 9 8 8 8 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 9 9 10 11 11 9 7 7 7 9 9 9 9 9 10 9 9 8 8 8 9 10 10 9 7 7 8 8 8 7 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 8 9 9 8 nan
nan 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 7 8 9 9 9 9 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 11 11 10 9 8 8 8 9 10 10 9 8 8 8 9 9 9 8 8 8 9 10 9 8 8 9 11 11 10 8 6 7 8 9 9 8 9 10 10 9 8 8 8 8 9 10 9 8 8 9 9 8 9 9 9 9 9 10 10 10 10 9 9 10 10 10 9 8 8 8 9 9 8 nan
nan 11 11 11 12 12 12 12 12 11 11 10 10 10 10 9 9 9 8 8 8 8 7 6 6 5 4 4 4 5 6 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 11 11 11 11 12 12 12 11 10 9 9 10 11 11 9 7 6 5 6 7 7 7 6 6 7 8 9 8 8 9 10 11 11 9 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 9 10 10 10 10 11 11 10 10 9 9 11 11 10 9 9 8 8 8 9 8 nan
nan 12 12 12 12 12 12 12 11 11 10 10 10 9 8 8 8 9 8 8 7 7 7 5 4 3 3 4 5 6 7 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 9 9 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 10 10 11 11 11 11 12 12 12 11 10 9 9 10 11 11 9 7 6 5 6 6 6 5 4 4 4 6 7 9 9 9 9 11 11 10 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 10 10 11 11 11 11 10 9 8 10 11 11 10 9 9 9 8 8 9 9 nan
nan 12 12 12 12 11 11 11 10 9 9 9 8 8 7 7 8 8 8 7 7 6 5 5 4 4 4 6 7 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 10 10 10 9 9 8 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 10 10 9 8 7 7 9 11 11 11 10 8 8 8 8 7 6 4 3 3 4 6 8 9 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 10 11 11 10 9 9 9 9 9 10 10 nan
nan 12 11 11 10 10 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 5 4 5 5 6 8 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 12 12 12 11 11 11 10 10 10 9 9 8 8 8 8 8 9 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 9 8 8 8 8 8 8 8 10 11 12 12 12 11 10 10 10 10 8 7 5 4 4 4 6 8 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 10 11 11 11 11 11 10 10 9 9 9 9 10 11 10 9 9 10 10 11 11 11 nan
nan 11 10 9 9 9 8 8 7 7 7 7 7 8 8 8 7 6 6 6 6 6 6 6 6 7 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 11 11 11 10 10 10 10 9 9 9 8 8 9 9 10 10 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 7 7 7 8 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 10 8 6 4 4 4 6 8 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 10 10 10 9 9 8 7 8 11 12 12 11 11 11 10 9 9 9 9 10 11 11 10 10 10 11 12 11 11 11 nan
nan 10 9 8 7 7 7 7 7 7 8 8 8 9 9 8 8 8 7 7 8 8 8 8 8 8 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 9 10 9 9 9 9 10 10 11 11 11 11 11 12 13 13 13 11 9 6 4 4 5 6 8 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 7 7 9 12 13 12 11 10 10 10 9 9 9 10 10 11 11 11 11 12 12 11 11 10 10 nan
nan 7 7 6 6 6 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 9 9 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 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 8 8 7 7 7 6 6 6 6 7 8 9 10 10 10 10 9 8 8 8 9 9 10 10 10 10 10 11 12 13 13 12 11 9 6 4 4 4 6 7 9 11 12 13 12 11 10 10 10 10 10 10 9 9 9 10 10 10 9 8 6 7 10 12 13 12 10 10 9 9 9 9 10 10 11 11 11 11 12 13 12 11 10 10 10 nan
nan 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 7 8 9 10 11 12 12 12 11 10 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 10 7 5 4 3 3 5 7 9 12 13 12 11 11 10 10 10 10 10 10 10 9 10 10 10 9 8 7 8 10 11 12 11 10 9 9 9 9 9 10 10 10 11 11 11 12 12 11 11 11 11 11 nan
nan 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 10 10 9 9 8 9 9 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 9 10 11 13 14 14 14 13 12 10 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 8 7 5 4 3 3 5 8 11 12 12 11 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 9 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 11 nan
nan 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 12 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 9 10 11 12 12 13 14 15 16 15 14 11 9 8 8 7 7 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 7 6 5 4 5 6 8 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 12 12 nan
nan 14 13 13 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 13 13 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 9 10 11 11 12 12 14 15 16 15 13 11 10 9 8 8 7 7 6 7 8 9 9 9 9 9 9 10 10 9 9 9 8 8 7 6 5 5 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 12 nan
nan 11 11 10 10 9 8 8 8 7 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 8 9 9 9 9 9 8 7 6 5 5 6 6 7 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 8 9 9 10 10 11 12 13 14 14 12 9 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 9 9 9 10 11 11 11 nan
nan 7 7 6 6 6 6 6 6 6 7 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 6 5 4 4 4 5 7 7 7 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 10 11 11 10 9 7 7 7 8 8 8 8 8 7 7 8 9 10 10 10 11 11 10 10 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 9 9 8 8 9 9 10 11 11 10 10 nan
nan 4 4 4 4 5 5 6 7 8 9 10 10 11 11 11 11 12 12 11 11 10 9 9 9 8 8 8 9 9 9 10 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 4 4 5 7 8 8 6 5 6 6 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 5 5 4 4 5 6 8 9 9 9 8 8 7 8 8 8 8 7 6 6 6 7 8 9 10 11 11 11 10 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 6 6 5 5 6 7 7 7 7 8 9 9 8 8 8 9 10 10 10 10 9 9 9 9 10 10 11 11 10 9 nan
nan 5 5 5 5 6 7 8 9 10 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 7 7 6 6 5 5 6 8 9 9 7 6 7 7 7 6 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 6 5 4 2 2 2 3 4 5 6 8 8 8 8 8 8 9 9 8 7 5 5 5 5 6 8 9 10 11 10 9 9 9 9 9 10 9 9 9 8 8 8 7 7 8 8 8 8 7 7 6 5 5 4 3 4 6 6 6 7 8 9 10 9 9 10 11 11 11 10 10 10 9 9 10 10 11 11 11 10 9 nan
nan 8 8 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 7 7 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 5 7 8 10 10 10 10 10 9 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 4 5 6 7 8 8 8 8 7 8 8 9 9 9 8 6 5 5 5 6 7 9 10 10 8 7 7 8 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 5 5 5 4 4 5 6 7 8 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 9 nan
nan 10 10 10 10 10 10 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 9 8 8 7 6 6 6 6 6 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 4 4 6 9 10 11 11 12 12 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 8 9 10 11 11 10 9 8 7 8 8 9 9 9 9 8 8 8 8 9 10 10 9 7 5 5 6 7 8 8 8 9 9 9 8 8 8 8 9 9 9 9 8 6 6 6 7 7 7 7 8 10 10 10 10 9 8 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 10 9 8 nan
nan 10 10 10 10 10 10 9 9 9 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 9 10 11 11 10 9 8 6 5 5 5 6 7 8 9 10 11 12 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 10 8 5 2 4 6 9 10 10 11 11 12 13 13 12 11 10 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 8 10 12 13 13 11 9 7 7 8 8 9 10 10 11 11 11 11 11 11 11 9 6 3 2 2 4 5 5 6 7 8 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 10 11 12 12 12 10 9 8 7 8 9 10 10 10 9 9 9 10 9 7 6 6 7 8 9 9 8 nan
nan 9 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 11 12 13 12 12 11 9 7 6 6 6 7 8 9 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 10 7 3 2 4 7 9 10 9 9 10 11 12 14 13 12 11 10 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 8 10 12 13 12 9 8 7 7 8 9 10 11 11 12 12 12 13 13 11 9 7 4 1 0 1 1 1 2 4 6 8 9 10 10 9 9 9 8 7 8 8 8 9 9 9 11 12 13 12 11 9 8 7 7 7 8 10 10 9 8 8 8 8 7 5 5 5 6 8 9 9 8 nan
nan 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 13 13 12 11 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 7 7 8 8 8 8 9 9 9 10 10 10 11 10 9 6 3 3 5 7 9 9 9 9 9 10 12 13 13 12 11 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 10 12 11 10 9 8 8 8 10 11 12 12 13 13 13 13 13 13 12 10 7 5 2 1 -0 -1 -0 1 4 7 9 10 10 9 9 8 7 7 8 8 8 7 7 8 10 11 11 10 8 7 6 6 6 7 8 9 9 9 9 9 9 8 7 6 6 6 8 8 9 9 8 nan
nan 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 12 12 11 10 10 9 9 9 10 9 8 8 7 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 9 8 5 3 4 6 8 9 9 9 9 9 10 11 12 13 12 12 11 11 11 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 11 11 10 10 10 9 10 11 12 12 13 14 14 14 14 15 15 15 14 12 9 7 5 2 -0 -1 -0 2 5 8 9 10 9 8 7 6 6 7 7 7 7 7 8 10 11 10 9 7 6 6 6 6 7 7 8 8 9 10 10 10 10 9 9 8 8 9 9 9 9 8 nan
nan 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 11 12 13 13 13 12 11 11 10 10 10 9 9 9 8 8 7 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 8 7 5 4 4 6 8 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 7 7 8 9 9 8 7 8 9 10 10 11 11 11 12 12 12 12 12 13 14 14 14 15 16 16 16 15 14 13 12 10 7 4 2 1 2 4 6 8 8 7 6 5 5 6 7 8 9 9 10 11 11 12 11 9 8 7 7 7 7 7 6 7 8 10 10 10 10 10 10 9 9 8 8 8 8 8 7 nan
nan 7 7 8 8 8 9 9 9 10 10 11 11 11 10 10 9 8 8 8 9 10 12 13 14 13 12 11 10 10 10 9 9 9 9 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 6 4 3 4 6 8 9 9 9 9 9 9 10 11 11 11 12 13 13 13 13 12 12 11 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 9 10 10 10 11 11 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 13 12 10 8 6 4 4 4 4 5 4 4 4 5 6 8 10 11 11 11 11 12 12 11 10 10 9 9 9 9 8 8 8 9 9 8 7 7 8 9 8 8 7 7 7 7 7 6 nan
nan 7 8 8 8 9 9 9 10 10 11 11 11 11 10 10 9 9 10 10 11 13 14 14 14 13 11 10 9 9 9 9 9 8 8 8 8 8 7 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 5 3 2 3 5 8 9 9 9 9 9 9 10 10 10 11 11 12 13 13 13 12 12 11 11 10 10 9 9 9 8 8 7 7 7 6 7 7 7 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 13 14 15 15 16 16 16 14 11 9 6 4 3 2 3 3 3 4 6 9 11 12 11 10 9 9 9 10 11 11 11 10 10 9 9 8 8 8 7 6 6 7 8 8 8 7 7 7 7 7 7 8 nan
nan 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 11 11 12 13 14 15 15 14 13 11 10 9 8 8 8 8 8 8 7 7 8 8 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 2 2 3 6 8 9 9 9 10 10 10 10 10 11 11 11 11 12 13 13 12 12 11 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 9 9 9 9 10 10 10 11 12 12 11 10 10 10 10 10 9 9 9 10 11 12 14 15 16 17 17 17 16 13 9 6 3 3 3 4 5 5 7 9 11 11 11 9 8 8 8 10 11 12 12 11 11 10 9 8 7 6 5 5 7 8 8 8 8 8 8 8 9 10 11 11 nan
nan 8 8 8 9 9 10 10 10 11 11 11 11 11 11 12 12 12 13 13 14 14 13 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 4 3 3 4 6 8 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 9 9 10 11 12 12 11 11 10 10 10 10 10 9 9 9 10 11 12 13 13 14 14 15 15 13 10 8 6 6 7 7 8 8 8 10 11 11 12 10 9 9 9 10 11 11 11 11 10 9 9 8 8 8 7 8 9 9 9 10 10 10 10 11 13 14 15 16 nan
nan 9 9 9 9 9 10 10 10 11 11 11 11 12 13 13 13 13 12 12 12 11 10 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 5 4 4 5 7 8 9 9 9 10 10 10 11 11 11 11 10 10 11 11 12 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 10 9 8 7 7 9 11 12 12 12 12 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 8 7 7 7 8 9 10 10 10 10 10 11 11 12 11 10 9 9 9 9 9 10 10 10 9 9 10 10 11 11 11 12 12 12 12 12 12 13 14 16 16 17 17 nan
nan 9 9 9 10 10 10 10 10 11 11 11 12 12 13 13 12 12 11 11 10 9 8 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 5 4 4 5 7 9 9 9 9 10 10 11 12 13 13 12 11 10 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 9 8 8 8 7 7 7 7 7 8 8 8 9 10 10 10 9 7 7 8 10 12 12 12 11 11 10 10 9 10 10 11 11 11 12 13 13 13 12 10 8 6 5 4 4 4 5 7 9 10 10 10 10 9 9 9 9 9 8 8 7 6 6 7 8 9 9 10 10 11 12 13 14 14 14 15 15 14 14 13 13 14 15 15 15 14 nan
nan 9 9 10 10 10 10 10 11 11 11 12 12 12 11 11 11 10 10 9 9 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 7 6 6 6 7 7 7 6 6 5 5 5 6 6 6 6 7 6 6 6 6 6 8 8 9 9 10 10 10 11 12 14 14 13 12 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 8 9 9 9 10 11 11 11 10 7 7 9 10 11 11 11 11 10 10 10 9 10 10 11 12 12 13 15 16 15 14 12 10 7 4 4 3 3 3 5 7 8 8 8 7 7 7 6 6 5 5 5 5 5 5 5 5 6 7 8 10 11 12 13 14 15 15 15 15 14 13 12 11 11 12 12 12 12 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 6 5 5 5 5 6 6 6 6 7 7 7 7 7 8 9 9 9 9 10 10 10 11 12 14 14 13 12 11 10 9 9 8 8 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 8 8 9 9 10 10 11 12 12 11 10 8 9 10 10 10 11 11 10 10 10 9 9 10 10 11 11 12 13 15 17 18 18 18 17 14 11 9 7 5 5 5 5 6 6 6 5 5 4 4 4 4 5 5 5 5 5 4 3 3 4 5 6 8 10 12 13 13 14 13 12 11 10 9 9 9 10 10 10 10 nan
nan 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 7 7 7 7 6 5 5 5 5 6 6 6 6 7 7 7 7 8 9 9 9 10 10 11 11 11 11 12 13 13 13 12 11 10 10 9 9 8 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 11 12 12 11 10 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 13 14 16 18 19 21 21 20 19 17 15 12 10 9 9 8 8 8 7 7 6 7 7 8 8 9 9 8 8 7 5 4 4 4 5 7 9 10 11 11 11 11 10 9 7 7 7 7 9 10 10 10 nan
nan 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 9 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 11 10 10 10 9 9 8 8 8 8 7 6 6 5 5 5 6 6 6 6 7 6 7 8 9 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 11 12 13 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 12 13 15 17 19 19 19 19 18 16 15 15 14 14 14 13 13 12 12 12 12 12 13 13 13 13 13 13 13 12 10 8 8 8 8 8 8 9 9 9 9 7 6 6 6 7 9 10 10 10 nan
nan 11 11 11 12 12 11 11 10 10 9 8 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 10 10 11 11 12 12 12 11 11 10 10 9 9 9 8 8 7 6 6 6 6 6 6 7 7 7 6 6 7 9 10 10 10 10 10 11 11 11 10 8 8 8 9 10 11 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 9 9 10 11 11 11 10 10 9 9 9 10 10 10 10 9 8 8 8 9 10 10 10 10 8 8 8 9 11 12 13 13 14 15 15 16 17 18 18 19 19 18 17 17 16 16 16 16 17 17 18 19 20 21 21 20 18 15 13 10 7 5 4 5 7 8 8 7 6 6 6 8 10 11 11 11 nan
nan 12 12 12 12 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 12 11 11 10 10 10 9 9 8 8 7 6 6 6 6 7 7 7 7 6 6 7 8 9 10 10 10 10 11 11 11 10 8 7 7 8 10 10 10 9 8 8 9 10 11 11 11 11 11 11 12 12 12 12 11 12 11 11 11 11 9 9 9 9 9 8 8 9 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 10 10 10 9 7 6 6 7 9 10 10 9 9 10 12 13 16 17 18 18 18 18 18 18 18 18 18 19 21 21 22 23 25 27 26 25 23 19 15 10 5 2 2 3 6 9 9 8 7 7 8 9 10 10 10 10 nan
nan 12 12 11 11 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 13 13 12 12 11 11 11 11 10 9 9 8 8 7 7 6 6 7 7 7 7 6 6 6 7 8 9 10 10 10 10 11 11 10 9 7 7 8 10 11 9 9 8 7 7 8 10 11 12 12 11 11 12 12 12 12 12 12 12 12 12 12 10 8 7 7 7 7 8 9 10 9 8 8 9 10 10 11 11 10 9 8 8 8 9 9 10 10 10 10 10 8 6 6 7 9 10 10 9 9 9 10 11 13 15 15 15 16 16 17 18 18 19 19 21 22 22 22 23 25 27 28 26 23 19 15 10 6 3 2 3 7 9 10 9 8 7 8 10 10 10 9 10 nan
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nan 12 13 13 12 11 11 11 12 12 12 11 11 11 10 10 9 9 8 9 10 10 11 11 12 12 12 11 11 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 14 14 14 14 15 14 13 12 12 11 11 11 10 10 10 10 9 8 9 9 9 10 11 11 11 9 8 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 11 9 8 8 9 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 13 14 13 12 11 10 10 11 11 11 12 12 12 12 12 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 9 9 8 8 8 8 8 9 nan
nan 10 11 11 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 14 14 14 15 15 15 14 14 13 12 12 11 11 10 10 9 9 8 8 8 9 10 11 11 11 10 9 8 7 7 7 7 7 8 9 9 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 10 9 8 9 9 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 12 13 12 12 11 10 10 10 10 11 11 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 10 11 11 10 10 10 10 9 8 8 7 7 8 8 9 nan
nan 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 14 14 15 15 15 15 14 14 13 12 11 11 10 10 9 9 8 8 8 9 10 11 12 12 11 10 9 8 8 7 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 9 9 9 9 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 8 7 7 7 7 8 9 nan
nan 9 9 9 9 7 5 5 4 5 6 6 6 7 7 7 7 8 8 9 9 10 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 12 12 13 13 13 14 14 14 15 15 15 15 14 13 13 12 12 11 11 10 9 9 9 9 10 11 12 12 12 12 11 10 9 8 8 8 8 8 9 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 10 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 7 7 7 8 9 nan
nan 10 11 11 10 8 6 5 4 5 6 6 6 7 7 8 8 8 8 9 9 10 11 11 12 12 12 12 12 12 11 11 10 9 9 9 9 10 11 11 12 12 13 13 13 13 14 14 14 15 15 15 14 14 14 13 13 12 12 12 11 11 11 11 11 12 12 12 12 11 11 10 9 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 8 7 7 7 8 9 nan
nan 10 12 12 12 10 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 10 11 12 13 13 13 13 12 12 11 10 9 9 8 8 9 10 11 12 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 13 13 14 13 13 12 12 11 10 10 9 9 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 10 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 8 9 nan
nan 9 10 11 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 11 12 13 14 14 13 13 12 11 11 10 9 9 9 9 10 12 12 13 13 13 13 13 12 12 12 12 12 13 13 13 13 14 14 14 13 13 13 13 13 13 14 14 14 12 11 10 10 9 9 9 8 8 9 10 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 9 8 7 7 8 9 nan
nan 7 7 8 9 10 11 11 10 10 9 9 10 10 10 10 10 10 10 11 11 12 13 14 14 14 13 12 12 11 10 9 9 9 10 10 11 12 13 13 13 13 13 12 12 11 11 11 12 12 12 13 13 13 13 13 13 12 11 11 11 11 12 12 12 11 10 9 9 8 8 8 8 8 9 10 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 8 8 8 8 9 9 nan
nan 8 8 8 9 9 10 9 9 9 9 10 10 11 11 11 11 11 11 12 12 13 14 14 14 13 12 12 11 10 10 10 10 10 10 11 11 12 12 13 13 12 12 12 11 11 11 11 11 12 12 13 13 13 12 12 11 11 10 9 9 9 10 10 10 10 9 9 8 8 7 7 8 8 9 11 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 8 8 9 10 10 nan
nan 10 9 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 12 13 13 14 15 14 13 12 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 11 11 11 11 12 12 12 12 12 12 11 11 10 9 9 9 8 8 8 8 8 8 8 7 7 7 8 9 10 11 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 12 12 12 11 10 10 10 10 10 11 11 11 11 10 10 10 10 9 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 9 9 8 8 9 9 10 11 11 nan
nan 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 13 14 14 15 15 13 12 10 10 10 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 8 8 8 8 7 7 7 7 8 9 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 10 9 8 8 9 9 10 11 11 12 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 13 14 14 14 14 13 12 11 10 11 12 13 12 11 10 10 10 11 11 11 12 12 11 11 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 7 7 8 8 7 7 7 8 8 9 10 11 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 10 9 8 8 8 9 10 10 11 12 12 nan
nan 13 13 13 13 13 14 14 14 13 13 12 12 12 12 13 14 14 14 14 13 13 13 12 12 12 13 14 14 12 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 8 8 8 9 9 10 11 12 13 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 10 10 9 8 7 8 8 9 10 11 12 12 13 nan
nan 13 14 14 14 15 15 15 14 13 13 12 12 12 13 14 14 14 13 12 12 13 13 13 13 14 15 15 13 12 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 10 10 11 12 13 14 14 14 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 10 9 8 7 6 7 7 9 10 11 11 12 12 12 nan
nan 14 15 15 15 15 15 14 13 12 12 12 12 13 13 13 13 12 12 12 13 13 14 14 14 14 14 13 12 11 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 14 15 15 15 14 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 13 13 12 12 12 12 12 12 12 11 11 10 9 8 7 5 6 7 8 10 11 11 11 12 12 12 nan
nan 15 15 15 14 14 13 12 11 11 11 12 13 14 14 13 12 12 12 13 14 14 14 14 14 14 13 12 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 13 13 14 15 16 16 16 15 13 12 11 11 11 11 11 11 12 12 12 12 13 12 12 12 12 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 10 9 8 7 6 5 5 6 9 11 11 11 11 11 12 12 nan
nan 15 14 14 13 12 11 11 11 11 12 13 13 14 14 13 13 12 13 14 14 14 14 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 13 13 13 14 14 15 15 16 16 16 14 13 12 11 11 10 11 11 11 11 12 12 12 13 13 13 13 12 12 12 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 11 10 9 9 10 11 12 12 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 10 9 8 7 6 6 6 7 9 11 11 11 11 12 12 13 nan
nan 14 13 12 11 10 9 10 10 11 12 13 13 13 13 12 12 12 13 13 13 12 11 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 12 13 13 13 14 14 15 15 15 16 16 15 15 14 13 12 11 11 10 10 10 11 11 11 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 10 11 11 12 12 11 10 9 10 11 12 12 12 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 10 10 9 8 7 6 6 6 8 9 10 10 11 11 12 12 13 nan
nan 13 11 10 9 8 9 9 10 11 11 12 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 11 12 13 13 14 14 15 15 15 16 15 15 14 13 12 11 11 11 10 10 10 10 11 11 11 12 13 13 13 13 13 13 13 12 12 12 11 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 11 12 12 12 12 11 11 10 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 9 8 7 7 7 7 8 9 9 10 10 11 12 12 12 nan
nan 11 10 9 8 8 9 9 10 11 10 10 10 10 10 11 10 10 9 9 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 8 8 9 9 10 11 11 12 13 13 14 14 15 15 15 14 14 13 12 11 11 10 10 10 10 10 10 11 12 12 13 13 13 14 14 13 13 13 12 12 11 11 11 10 10 10 9 9 9 8 8 8 7 7 8 9 10 10 10 10 11 12 12 13 13 12 12 11 11 11 11 12 12 12 11 11 11 11 10 9 9 10 12 12 13 13 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 9 8 7 7 7 7 7 7 8 9 10 11 12 12 12 13 nan
nan 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 11 12 12 13 13 13 14 14 14 14 13 12 12 11 11 10 10 10 9 10 10 11 11 12 13 13 13 14 14 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 7 7 7 8 9 9 10 11 11 12 13 14 14 13 12 12 11 11 12 12 12 12 11 11 11 10 9 8 9 11 12 13 13 13 12 12 12 12 12 13 13 13 14 14 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 10 9 8 7 7 7 7 7 7 7 9 10 11 13 14 14 14 nan
nan 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 6 7 7 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 10 11 12 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 9 10 10 10 11 11 12 13 13 14 14 14 14 13 13 12 12 12 11 11 11 10 10 9 9 9 9 8 8 8 7 7 7 7 7 8 9 11 11 12 13 14 14 14 13 12 12 11 12 12 12 11 11 11 10 9 8 9 11 13 14 14 13 12 12 12 12 12 13 13 13 14 14 15 14 14 13 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 9 8 8 7 7 7 7 7 8 9 10 11 12 13 14 14 14 nan
nan 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 9 7 6 6 6 7 8 8 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 11 12 13 13 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 12 13 13 14 14 14 14 13 13 12 12 12 11 11 11 10 10 9 9 9 8 8 9 8 8 7 6 6 7 8 9 10 10 11 13 14 14 14 13 12 12 11 11 11 11 11 11 10 10 9 10 12 13 14 14 13 13 13 14 14 14 14 13 13 13 14 15 15 15 14 13 11 11 10 11 11 11 10 10 10 10 11 11 11 11 10 9 8 8 7 7 7 8 8 9 9 10 11 11 12 13 13 13 12 nan
nan 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 10 8 7 7 7 7 7 8 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 10 10 11 12 13 13 12 12 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 12 13 13 14 14 14 14 13 13 12 12 12 11 11 10 10 10 9 9 8 8 8 9 8 8 7 7 6 7 8 9 9 10 10 11 12 13 13 12 12 11 11 11 10 10 10 10 10 10 11 13 14 15 14 13 12 12 13 15 16 16 15 14 13 13 14 14 15 14 13 12 11 11 11 11 11 11 10 9 9 10 10 10 10 10 9 8 8 8 7 7 7 8 9 10 11 11 12 12 12 12 12 12 11 nan
nan 10 10 10 10 9 9 9 9 9 10 11 12 12 12 11 10 9 8 8 8 8 8 8 9 10 10 10 10 11 11 11 12 12 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 14 14 13 13 12 11 11 11 12 13 13 12 12 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 13 13 14 14 14 13 13 13 12 12 12 11 11 11 10 10 9 9 8 8 8 8 9 8 8 7 7 8 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 9 10 11 13 14 14 14 13 12 12 12 13 15 15 14 14 13 12 12 13 14 13 13 12 11 11 11 12 12 11 10 10 10 10 11 11 11 9 8 8 8 8 8 7 7 7 8 9 11 12 13 13 13 12 12 11 10 11 nan
nan 10 10 10 10 9 9 9 9 9 10 11 12 12 12 12 11 10 9 9 9 8 8 9 9 10 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 13 13 13 13 13 13 13 13 13 12 12 11 11 11 10 10 9 9 9 8 8 8 9 8 8 8 8 8 9 9 8 8 9 9 10 10 11 11 11 11 11 11 10 10 9 9 10 12 13 14 14 13 13 13 13 13 13 14 13 12 11 10 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 12 13 12 11 9 8 8 8 9 8 8 7 7 8 10 12 14 14 13 12 12 11 10 10 10 nan
nan 10 10 10 10 9 9 9 9 9 10 11 12 13 12 12 11 10 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 10 9 9 9 11 12 13 13 12 13 14 15 15 15 15 15 15 14 13 11 11 10 9 9 9 9 9 10 10 9 9 9 10 11 12 13 13 13 12 11 10 9 9 9 9 9 8 8 8 9 11 13 15 14 13 12 11 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 11 11 12 13 12 11 10 10 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 8 8 9 9 10 11 11 12 13 13 13 13 12 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 8 9 10 10 11 10 10 11 11 11 11 11 10 9 8 8 10 11 12 12 12 12 13 14 15 15 16 17 18 19 19 17 14 12 8 6 6 7 8 9 9 9 9 9 9 11 12 13 14 13 13 12 11 10 10 9 9 9 9 9 8 8 9 11 14 15 15 14 12 11 10 10 10 11 nan
nan 10 10 9 10 9 9 9 9 10 11 11 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 9 10 11 12 13 14 14 14 13 12 11 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 8 7 7 7 7 7 8 8 8 8 9 11 11 12 12 11 11 11 11 10 9 8 8 8 9 10 11 11 11 11 12 12 13 13 13 14 15 16 18 19 18 16 13 10 8 8 8 9 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 11 13 15 15 15 13 11 10 10 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 11 11 12 14 19 26 43 41 41 50 63 70 77 82 84 83 78 76 76 78 81 80 79 76 74 74 74 67
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 10 10 10 12 14 17 21 32 38 41 45 50 53 60 67 70 70 69 68 68 68 67 65 65 64 63 66 72 74
2 2 2 2 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 7 9 10 11 12 14 16 20 24 27 32 36 41 47 55 60 53 46 49 55 56 52 46 48 53 57 59 61 66
2 2 2 2 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 0 0 0 0 0 0 0 2 4 7 8 8 8 9 10 11 12 13 20 24 29 37 48 57 60 59 55 48 45 39 34 35 41 49 54 54 57
1 2 2 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 4 5 5 4 2 0 0 0 0 0 0 0 1 2 3 4 4 4 5 5 4 4 6 12 18 23 31 42 55 63 65 57 44 40 35 31 28 29 42 47 47 49
1 1 2 2 2 2 2 2 2 2 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 0 0 0 1 1 1 2 2 2 3 3 2 2 1 0 0 0 0 0 1 3 5 6 6 5 1 1 0 1 1 1 1 0 1 2 2 3 2 2 2 2 1 1 5 10 15 20 28 38 48 56 57 52 47 41 35 29 24 21 33 39 41 43
1 1 1 1 2 2 2 2 2 2 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 0 1 1 3 4 5 4 4 4 5 4 3 3 2 1 0 0 0 0 0 1 2 4 5 5 4 2 1 1 1 2 2 2 3 3 3 3 2 2 2 1 0 2 6 12 17 22 28 35 45 52 57 64 58 46 36 31 24 20 26 33 38 39
1 1 1 1 1 1 2 2 2 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 4 5 5 6 6 7 6 5 4 3 2 1 1 1 0 0 0 0 1 2 5 7 6 4 2 2 2 3 4 5 6 8 8 8 5 2 2 1 3 7 13 17 20 23 27 33 40 49 57 65 63 54 43 47 50 47 39 34 36 32
1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 5 4 4 4 4 4 3 6 6 5 3 1 1 2 2 2 1 0 1 1 1 2 5 9 8 7 5 3 4 5 6 8 13 17 17 15 11 6 5 6 8 13 18 19 19 22 27 34 45 54 60 63 65 63 62 65 64 59 50 39 30 20
2 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 5 5 4 4 4 3 5 6 6 6 2 2 2 2 2 2 1 1 1 1 3 5 9 9 8 6 6 5 6 7 12 20 23 23 21 17 12 10 8 11 17 21 22 24 28 33 40 49 56 59 58 56 58 62 64 64 61 54 39 21 11
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 0 0 0 0 0 0 0 0 1 2 3 4 5 6 5 5 5 5 5 5 5 5 5 4 3 3 3 5 9 7 5 4 3 3 2 1 1 1 2 3 6 8 8 7 8 10 8 7 10 16 22 25 27 26 23 18 12 14 15 17 21 26 31 35 40 46 51 54 55 53 48 54 60 63 64 64 63 48 28 16
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0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 12 15 18 23 29 36 42 46 49 51 52 50 47 42 37 34 27 20 13 6 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 1 2 2 3 2 2 3 3 3 3 3 3 2 3 3 5 6 7 8 8 8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 3 5 7 10 13 17 19 13 8 5 4 5 9 13 21 32 49 54 50 41 32 22 12 8 14 32 58 57 61 68 68 68 65 71 89 116 117 109 107 113 118 117 114 110 110 124
1 1 1 0 0 0 0 0 0 0 1 2 4 6 10 16 20 26 31 37 44 51 61 66 69 67 62 55 49 45 42 39 37 32 26 20 16 11 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 1 1 2 3 3 4 4 4 4 5 4 4 4 6 7 8 8 9 8 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 1 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 2 3 5 8 12 13 11 8 5 7 12 21 32 44 50 50 45 39 34 30 26 18 14 19 39 55 53 51 56 58 71 103 145 173 181 179 163 145 144 141 138 138 143 145 163
8 7 6 3 2 1 1 1 2 4 7 10 13 16 22 30 36 43 50 57 65 74 82 86 84 76 64 53 47 43 41 41 42 42 41 38 33 26 19 12 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 1 2 2 3 4 5 6 6 5 5 6 8 9 9 10 9 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 1 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 3 5 4 6 7 8 9 7 16 30 47 65 77 68 53 39 32 40 35 30 23 16 16 27 34 37 37 35 36 71 123 164 184 194 198 188 168 160 160 168 182 199 202 210
18 18 15 13 11 9 9 10 11 14 19 26 33 40 47 54 59 65 72 80 89 101 111 113 104 87 67 54 45 40 39 41 44 47 48 47 43 39 33 25 17 8 3 1 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 2 3 4 6 7 7 7 9 10 10 10 10 8 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 4 9 16 35 58 86 115 124 103 78 57 43 51 41 31 21 10 8 9 13 17 21 24 34 74 134 176 190 199 201 197 181 172 176 190 205 217 213 213
24 26 25 24 24 24 24 25 27 30 36 45 54 62 70 76 80 85 94 104 113 125 134 133 120 95 69 55 46 40 39 43 48 51 54 55 55 53 48 41 31 21 14 7 3 1 0 0 0 0 0 0 0 0 1 3 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 1 1 1 1 1 2 4 6 7 7 7 7 9 8 7 7 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 3 9 28 54 83 113 141 146 132 109 85 65 62 54 41 23 8 7 7 9 11 18 24 43 85 144 181 200 202 193 182 169 160 167 188 193 176 148 142
29 33 34 34 35 35 36 37 40 45 52 59 66 73 80 86 92 98 107 117 126 132 132 120 100 77 61 52 47 44 45 49 55 60 63 67 68 66 63 59 51 42 33 23 14 8 4 2 1 1 0 0 0 1 2 4 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 1 1 2 1 1 1 2 3 4 5 5 5 5 5 4 4 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 1 1 1 2 2 2 1 0 0 0 0 2 2 1 0 1 1 0 0 0 0 1 2 2 3 14 37 61 85 117 140 143 130 106 86 73 70 64 49 28 14 8 8 8 9 16 20 36 75 141 156 163 164 154 138 126 127 142 155 131 101 74 77
36 39 43 46 48 49 50 52 55 59 62 67 74 82 93 104 104 104 108 112 113 107 92 73 58 52 49 48 48 49 51 57 62 67 71 74 75 76 77 77 71 64 54 43 31 21 15 11 9 6 3 1 0 1 2 5 8 9 10 9 5 2 1 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 1 2 1 2 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 1 1 2 2 2 2 2 2 2 2 2 1 0 1 2 2 1 1 1 1 1 1 1 2 2 1 4 17 39 60 77 99 114 112 95 69 53 44 38 30 20 14 10 8 8 9 8 11 13 17 32 72 87 90 90 87 77 71 73 83 81 67 60 73 129
53 52 56 61 65 68 69 70 71 72 71 74 81 92 102 107 103 99 98 97 94 83 66 52 45 46 47 50 52 55 58 64 69 73 76 79 81 88 95 97 94 88 78 66 53 41 33 28 24 20 14 8 4 2 2 5 9 11 13 13 9 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 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 2 2 2 2 2 2 2 2 1 1 1 1 0 1 2 2 1 1 1 1 2 9 6 2 1 1 5 13 22 29 37 54 65 62 47 31 20 14 10 8 6 6 6 6 7 7 7 8 8 8 7 11 19 26 27 30 30 31 37 45 43 60 95 145 227
83 80 82 85 87 88 88 87 84 81 78 78 81 85 88 88 86 85 83 82 80 71 60 52 50 51 54 57 59 61 64 66 71 77 84 90 96 106 114 118 117 112 103 93 80 67 57 48 41 36 30 21 13 7 4 4 8 12 14 16 13 9 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 2 2 1 1 1 2 6 17 11 3 0 1 6 8 7 8 9 12 17 19 12 7 5 5 6 6 7 7 7 6 7 7 7 6 7 7 7 7 7 8 9 11 13 18 29 52 79 122 181 231 289
114 112 112 111 109 105 102 97 92 88 82 74 70 65 60 60 60 62 65 68 69 65 61 60 62 64 65 65 67 71 75 79 83 87 94 103 110 117 123 127 127 125 121 115 104 92 80 68 58 53 46 38 29 19 10 5 6 9 13 17 17 14 9 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 3 4 4 3 3 2 2 2 1 1 2 2 2 2 2 2 1 2 1 1 1 1 0 1 1 1 1 3 4 4 5 5 5 5 5 4 3 3 3 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 9 11 13 17 34 70 110 156 206 254 263 287
125 127 127 126 122 116 112 107 102 95 83 66 57 50 46 46 47 51 58 64 66 64 64 66 67 70 72 73 74 77 80 85 91 97 105 114 122 127 130 129 127 126 126 123 116 107 97 88 80 73 65 56 44 32 20 11 8 8 12 17 18 17 12 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 1 1 0 1 0 0 0 0 0 0 0 1 2 3 3 3 3 3 2 2 2 1 2 1 2 7 16 23 22 22 15 1 2 1 1 1 1 1 1 1 2 3 4 5 5 5 4 4 3 2 2 2 2 2 2 2 2 3 4 5 6 6 6 6 6 6 30 62 91 107 129 150 177 215 254 295 287 269
125 125 126 126 124 120 116 111 103 91 73 55 48 44 43 44 48 54 62 67 69 68 68 69 73 78 79 80 81 84 88 93 99 105 112 120 127 133 134 131 129 128 128 127 124 118 112 107 102 95 85 72 59 46 34 22 15 13 14 17 18 17 14 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 1 0 1 3 19 61 108 149 176 154 41 21 8 1 1 1 1 1 1 2 2 2 2 3 2 2 2 2 1 1 1 2 1 0 1 1 1 1 3 4 5 6 8 21 56 129 209 257 203 169 173 214 281 326 365 353 296
123 123 124 124 122 116 112 104 95 82 68 56 47 43 41 42 47 52 58 65 68 69 69 69 71 77 82 86 90 95 100 104 108 112 118 125 131 136 139 139 138 137 136 135 134 131 129 126 121 111 100 86 73 60 40 28 24 24 23 22 20 18 15 12 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 1 2 1 0 0 0 0 0 0 0 0 2 2 2 2 1 1 1 1 1 2 8 20 44 107 174 205 188 125 89 56 28 9 3 1 1 1 1 2 1 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 2 4 6 13 72 176 298 397 419 304 224 206 251 335 375 390 374 323
127 124 123 120 115 107 102 97 90 81 72 62 53 46 44 45 48 53 57 60 63 66 66 67 69 78 86 93 99 105 113 115 119 124 132 136 139 142 143 143 143 143 143 142 142 141 139 134 126 113 105 96 84 70 55 46 43 41 36 32 26 20 15 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 4 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 2 3 18 40 64 111 164 188 175 131 101 76 53 31 11 3 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 2 7 31 133 270 401 474 423 328 258 238 278 334 354 340 299 290
129 125 123 116 108 102 97 92 86 79 71 63 56 52 50 53 57 58 58 58 60 62 64 65 67 75 84 94 103 110 118 123 129 136 144 146 147 146 144 142 141 139 138 138 138 138 137 133 125 117 109 101 92 81 70 64 60 55 49 41 31 22 14 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 10 6 1 0 0 0 0 0 0 1 2 3 2 2 2 2 2 2 3 7 22 49 80 105 134 153 154 134 109 80 49 28 11 4 1 1 1 1 2 2 1 1 1 1 1 1 1 2 4 2 9 5 1 0 0 0 1 2 3 4 50 163 310 444 466 393 323 289 265 300 336 345 320 286 283
124 122 120 116 110 104 97 91 83 74 67 61 57 55 55 58 62 63 62 60 58 60 61 63 66 71 80 89 95 101 109 117 123 130 136 143 144 142 140 138 132 127 124 125 126 127 127 125 119 115 109 104 100 93 81 72 67 64 58 48 36 24 13 10 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 1 1 0 0 0 0 1 1 0 1 1 1 2 3 2 0 0 0 0 0 1 3 1 0 0 0 0 0 0 0 0 1 2 3 2 2 2 2 3 3 6 16 35 65 99 114 123 130 128 114 90 55 19 9 4 2 1 2 1 2 2 3 3 5 7 6 2 10 37 58 59 54 90 67 24 0 0 0 0 1 2 3 32 122 266 382 366 312 291 330 324 354 373 366 340 332 326
115 116 116 114 110 105 96 88 79 70 64 61 60 60 60 60 61 60 58 55 53 57 60 64 69 77 82 82 80 84 94 104 113 120 127 133 135 134 133 129 122 115 111 113 115 117 119 120 116 115 114 113 110 105 95 86 79 74 66 55 41 27 15 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 5 4 4 6 7 7 7 6 6 8 10 14 15 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 3 3 9 23 49 89 117 132 135 123 97 69 36 9 1 2 2 2 1 0 1 1 2 7 14 25 36 40 15 87 154 194 203 207 221 171 79 1 0 0 0 1 2 4 16 68 185 259 273 260 254 319 363 395 410 405 383 361 331
109 114 116 115 111 104 93 84 76 69 65 64 63 63 62 61 60 59 58 56 54 59 65 72 82 91 94 92 90 90 96 104 112 116 120 122 123 124 122 118 110 102 97 98 102 108 113 117 116 114 114 115 117 115 111 106 99 90 79 64 48 33 19 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 2 5 9 9 9 10 11 14 15 18 19 19 21 26 30 33 29 15 5 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 3 3 3 3 3 4 11 26 52 108 137 144 129 98 59 30 13 4 3 3 3 4 3 2 1 2 8 22 37 57 83 106 79 133 217 284 288 288 280 243 165 38 6 4 1 2 3 3 11 34 95 153 190 218 253 323 372 400 414 430 407 350 281
110 118 119 116 108 97 88 81 76 72 71 68 66 64 62 62 62 63 64 64 66 72 79 87 96 102 105 108 111 113 114 115 115 113 111 111 111 111 110 106 99 92 87 85 91 100 107 112 113 112 111 113 118 120 122 121 116 106 94 76 58 43 27 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 1 2 6 8 11 15 19 23 24 26 28 32 35 38 42 47 44 33 21 10 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 3 3 3 3 4 9 21 52 100 123 115 83 47 22 9 4 3 3 4 4 4 4 3 2 8 29 54 79 106 137 162 188 237 290 323 313 314 317 314 287 165 85 47 17 6 4 4 5 10 27 68 128 191 270 350 405 427 431 423 386 317 229
113 119 115 109 101 92 84 78 75 73 73 69 66 64 63 64 67 69 72 75 80 86 92 97 100 98 100 106 114 122 122 118 112 108 105 103 102 101 101 99 95 89 84 79 79 89 98 102 103 103 102 105 111 115 121 127 129 118 105 89 72 55 37 19 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 1 4 10 18 27 30 29 30 33 38 43 47 51 54 54 50 44 32 8 2 0 0 0 0 0 1 1 1 1 0 0 0 0 1 2 3 3 3 3 3 7 17 46 66 68 51 23 8 4 4 3 3 3 3 4 4 3 3 11 32 76 114 143 168 207 229 256 286 314 324 324 330 346 378 379 331 267 203 126 71 40 21 4 4 5 25 72 144 242 339 413 453 452 426 369 290 226
114 114 107 101 94 88 81 76 74 73 73 69 66 65 65 66 69 74 79 83 89 96 100 98 93 84 84 93 107 120 118 108 99 94 90 85 82 81 84 87 88 87 85 86 87 88 90 92 93 94 96 98 99 105 115 126 135 126 114 100 83 64 42 22 9 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 2 8 16 24 27 30 33 38 44 50 56 61 65 67 68 63 49 21 5 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 2 3 3 2 2 4 15 28 33 27 12 5 4 4 3 3 3 3 3 3 3 5 17 48 98 146 180 200 208 221 241 270 300 322 333 337 343 362 402 427 438 430 396 306 227 158 93 32 11 6 11 33 82 172 271 345 391 425 430 397 324 286
112 110 101 94 88 83 79 75 74 73 72 69 68 67 68 70 71 77 84 89 92 98 99 93 82 74 76 86 99 106 97 86 77 70 64 55 48 44 45 54 63 71 77 83 83 82 81 82 86 91 95 98 100 104 112 122 133 126 115 101 83 62 42 22 8 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 5 14 21 26 29 32 37 49 59 68 77 83 88 90 81 53 21 5 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 2 2 1 1 2 5 5 3 1 1 2 3 3 3 3 3 2 2 2 6 23 58 113 171 203 219 229 241 262 277 294 320 346 357 357 356 375 409 446 481 513 506 456 392 317 224 142 85 53 29 30 45 100 185 254 322 421 495 464 386 315
113 108 99 91 86 82 77 75 73 72 71 71 71 71 70 75 76 80 85 87 83 90 95 91 82 74 71 71 72 67 60 55 54 53 47 41 37 35 35 36 40 47 57 62 65 67 70 75 83 90 96 99 101 103 109 118 127 122 109 94 76 57 39 21 8 0 0 0 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 13 20 26 28 26 26 41 55 69 83 91 97 96 83 48 15 2 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 1 1 1 0 1 2 3 3 3 3 3 2 1 0 16 53 112 176 212 227 229 227 235 250 266 286 331 360 370 366 365 382 410 445 488 537 548 542 520 489 422 350 275 199 132 80 54 61 105 170 261 381 494 456 341 247
120 112 100 91 85 81 74 72 72 72 72 72 74 74 73 79 80 78 74 72 64 76 83 79 68 59 53 49 47 48 53 59 62 58 51 45 41 37 34 30 30 32 37 41 46 52 61 72 80 88 93 96 97 97 103 112 121 117 103 87 72 55 37 21 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 24 35 36 24 16 18 25 37 54 71 79 77 64 34 11 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 1 1 0 1 2 3 3 3 3 3 3 2 3 26 79 165 205 212 202 187 184 191 211 240 274 309 337 347 337 339 357 384 419 460 505 539 563 580 598 567 515 436 337 251 170 105 67 76 115 182 273 368 396 337 249
121 113 103 93 87 85 77 73 72 72 73 75 77 78 79 78 69 58 50 49 52 57 59 58 55 48 45 45 48 54 61 66 66 62 56 50 44 38 33 29 26 25 25 27 31 37 45 61 72 81 88 93 93 93 96 103 109 108 98 83 67 50 33 19 7 0 0 0 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 11 29 39 35 19 9 4 3 4 10 31 48 55 50 21 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 2 3 3 3 3 3 4 12 44 107 189 200 183 161 147 149 157 170 188 212 241 270 292 294 303 320 347 383 426 467 504 535 573 617 616 565 462 333 255 196 144 107 94 106 142 190 246 320 359 337
122 113 100 93 90 89 81 80 80 80 79 81 83 86 89 90 87 81 73 59 60 63 64 63 55 48 48 54 59 65 68 67 63 59 53 46 40 33 28 22 18 16 16 16 18 21 27 38 49 61 73 84 87 89 89 90 91 94 93 85 70 52 33 17 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 4 10 14 15 7 2 0 0 0 0 7 15 20 17 6 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 2 3 3 3 3 3 8 27 69 145 176 167 142 124 121 129 139 149 160 173 193 219 246 262 278 295 319 357 401 443 478 496 540 588 616 594 436 268 173 145 148 144 139 138 150 172 193 246 318 369
116 104 92 91 93 90 90 91 90 89 90 89 88 88 90 93 96 96 91 79 76 76 75 72 62 56 56 60 65 68 70 69 64 56 48 40 32 26 21 17 14 12 10 8 8 9 11 15 20 27 37 57 70 79 83 82 81 85 88 88 80 62 38 19 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 2 1 0 0 0 1 2 2 3 3 3 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 1 1 2 2 2 2 2 2 13 40 85 135 133 115 100 97 102 113 124 135 147 160 177 198 220 239 257 276 301 341 386 429 461 468 496 536 577 584 390 236 153 149 176 191 197 202 213 224 235 252 283 339
109 104 94 95 99 98 98 99 102 105 101 98 94 92 93 97 104 104 97 88 84 83 82 79 68 62 60 61 65 67 68 67 62 53 44 35 28 20 19 16 13 9 7 5 3 2 3 3 3 3 7 20 36 53 68 77 78 81 84 88 87 77 57 33 15 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 1 1 1 1 0 0 0 0 0 0 1 1 1 1 2 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 2 2 2 3 12 42 89 114 105 85 68 67 75 84 95 108 119 135 152 171 190 207 221 237 257 288 331 377 419 446 454 467 492 530 495 395 300 241 242 258 275 296 319 343 357 363 367 378 401
68 73 78 91 104 109 110 111 113 114 112 112 109 105 100 104 109 108 100 92 87 86 84 80 69 61 57 58 65 67 68 66 60 50 42 35 28 22 19 16 12 7 6 4 2 1 0 0 0 0 0 1 8 18 32 43 55 66 76 86 94 91 76 54 34 19 7 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 2 2 2 2 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 1 1 1 1 3 6 10 23 52 83 98 76 56 45 42 50 57 66 77 91 103 120 141 162 179 192 204 218 241 276 324 374 417 442 455 463 469 471 429 378 330 284 311 356 404 432 463 478 474 447 414 393 403
64 62 82 100 112 118 119 121 121 121 124 128 127 120 108 107 106 103 99 94 90 89 87 82 72 64 60 62 70 72 72 68 61 51 43 35 28 22 18 14 10 5 3 1 0 0 0 0 0 0 0 0 1 2 6 14 25 40 58 76 91 95 89 76 56 34 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 2 2 2 2 3 3 3 2 1 1 1 1 0 0 1 0 0 0 0 0 0 1 5 26 18 5 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 12 18 27 37 43 66 83 75 44 30 25 24 26 32 39 47 58 72 87 106 129 150 162 173 185 200 226 268 320 376 421 451 469 477 467 415 362 323 314 351 427 485 483 477 481 467 432 389 362 351 344
55 47 71 94 111 117 117 122 125 126 129 134 131 123 112 109 106 103 100 97 95 93 91 87 82 78 75 75 79 79 76 70 61 51 39 28 20 15 12 9 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 8 20 36 56 70 79 81 77 61 38 18 5 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3 2 3 3 3 3 3 2 1 1 1 1 1 0 1 0 0 0 0 0 0 0 4 26 75 72 41 23 6 0 0 0 0 0 0 0 0 0 1 5 12 16 22 38 65 88 74 69 60 31 13 9 9 11 12 17 23 32 44 59 76 97 118 137 149 160 172 189 216 260 316 373 423 463 490 502 468 405 343 304 338 388 419 425 421 434 421 394 363 349 343 340 334
50 56 80 100 113 119 119 122 124 125 128 127 118 110 112 112 111 109 107 104 99 96 95 94 93 92 90 87 85 82 77 70 61 46 32 21 14 12 10 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 24 41 50 56 58 55 38 20 7 1 0 0 0 0 2 3 6 10 13 5 3 4 5 0 0 0 0 0 1 1 1 1 1 1 2 2 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 2 5 16 43 92 129 123 89 54 34 22 11 1 0 0 0 0 0 0 0 1 4 11 15 21 31 47 62 51 33 18 6 2 1 0 0 3 9 16 25 37 52 69 89 111 130 145 158 169 186 215 255 305 360 410 459 503 518 484 413 338 336 376 406 426 437 429 407 379 352 329 319 317 315 303
69 79 99 113 121 126 126 124 121 117 110 104 104 108 114 115 115 115 115 112 108 106 105 105 104 103 100 94 87 80 74 66 55 40 27 20 17 17 13 9 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 28 36 38 35 28 14 5 1 0 0 0 0 0 2 8 14 21 27 17 16 19 19 4 1 0 0 0 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 1 2 6 11 19 25 40 75 144 143 110 76 59 20 5 1 0 0 0 0 0 0 0 0 0 1 5 9 12 16 18 20 13 4 1 0 0 0 0 0 1 4 10 19 31 46 63 84 108 130 148 160 172 193 221 255 289 342 396 447 494 501 465 403 357 384 391 398 415 408 388 359 325 297 280 274 273 267 248
100 106 116 124 126 122 121 119 116 109 92 98 109 120 124 123 122 121 123 121 120 118 117 117 114 112 109 102 94 83 71 60 52 39 28 19 15 16 15 13 12 12 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 1 5 12 20 21 16 10 4 1 0 0 0 0 1 4 9 14 18 24 33 33 31 30 27 11 9 10 10 4 2 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 0 0 2 5 4 4 12 24 33 28 22 21 29 55 43 34 48 87 34 5 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 2 1 0 0 0 0 0 0 0 0 2 6 15 29 45 61 85 112 135 151 160 174 195 220 247 276 320 370 417 451 457 430 386 387 409 415 404 398 382 358 325 281 256 240 228 218 212 200
119 120 115 112 106 95 90 92 97 100 88 96 107 119 127 132 130 128 128 127 126 125 125 123 123 119 112 106 102 91 78 65 54 41 27 16 15 18 20 21 20 20 19 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 2 1 0 0 0 0 0 2 6 13 19 25 29 30 32 30 25 21 26 28 32 34 34 30 19 9 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 0 0 3 8 6 2 1 2 3 6 3 5 15 49 29 7 0 0 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 15 30 48 65 90 116 138 151 159 172 187 203 225 257 294 333 370 396 409 408 391 388 405 418 408 393 374 349 318 275 244 221 205 196 188 178
131 128 124 107 89 81 82 81 80 80 82 92 102 113 123 129 133 135 135 133 131 130 129 127 123 118 112 108 114 107 95 80 63 44 25 13 13 20 26 27 25 25 23 19 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 24 28 30 29 25 21 17 13 12 19 26 32 38 46 52 48 38 23 4 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 10 23 14 7 9 17 29 51 53 20 10 11 14 17 16 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 19 36 54 70 89 110 132 145 156 165 172 174 189 214 248 287 321 344 360 373 379 379 391 412 413 400 378 351 319 279 243 213 198 191 182 169
124 108 108 98 89 89 93 91 88 88 91 97 104 112 120 126 133 137 137 133 130 129 129 128 125 122 119 116 120 117 107 91 68 44 27 19 17 22 27 29 27 26 24 21 17 11 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 16 23 24 23 20 16 11 7 5 4 5 10 17 26 37 52 59 57 46 26 9 2 0 0 0 0 0 0 0 0 0 1 2 9 31 67 111 154 101 65 60 64 70 79 73 43 34 27 20 12 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 3 13 28 44 57 69 81 96 118 132 143 149 149 148 159 181 212 248 278 300 315 330 348 365 384 402 403 394 376 352 319 280 242 209 198 190 180 167
117 80 83 89 95 100 103 102 101 100 101 104 109 114 117 114 122 132 138 135 132 133 136 136 135 135 135 134 132 127 119 105 86 58 38 27 22 22 25 27 27 26 24 21 18 14 10 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 11 15 19 24 27 16 11 7 5 3 1 0 1 2 3 8 17 31 44 52 54 48 26 10 3 0 0 0 1 1 1 1 0 0 2 13 53 107 162 200 195 160 120 92 78 67 57 46 33 24 16 11 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 1 11 26 40 51 61 72 87 105 118 126 128 124 127 139 160 192 222 247 267 283 302 329 356 376 388 389 382 370 349 314 276 242 218 205 194 180 165
84 90 96 101 105 108 115 116 115 114 112 112 114 116 115 127 136 140 137 141 138 139 144 152 155 152 148 146 136 125 115 106 89 67 47 32 23 21 23 25 23 21 21 19 15 14 13 12 11 7 2 0 0 0 0 0 0 0 2 3 5 7 8 11 16 21 27 31 35 35 29 13 4 1 1 0 0 0 0 0 0 1 4 10 20 30 36 35 16 6 1 0 0 1 1 1 1 1 5 19 47 86 132 172 199 193 160 124 93 72 62 53 43 36 29 23 16 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 5 14 27 40 53 68 83 97 109 115 114 112 116 127 147 178 204 226 244 257 279 304 331 355 371 374 368 359 338 308 273 244 227 217 205 180 161
100 104 108 111 112 113 120 124 125 125 125 122 120 119 122 130 138 145 152 153 151 152 157 160 133 121 122 113 96 81 72 73 68 60 49 35 27 23 20 16 9 8 9 10 8 7 9 12 15 13 7 3 2 0 0 0 0 0 4 8 12 16 20 26 33 39 42 40 35 27 14 5 1 0 0 0 0 0 0 0 0 0 0 1 3 8 11 11 5 1 0 0 1 1 1 0 0 0 22 65 114 138 151 157 156 136 111 88 71 59 50 43 36 30 24 19 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 2 7 21 34 48 63 79 92 102 107 105 105 109 120 143 169 193 214 230 241 260 284 311 334 347 351 349 344 333 317 293 264 243 228 211 179 158
114 116 117 116 116 117 121 124 126 127 129 130 127 126 131 142 153 162 163 160 156 155 156 155 90 50 41 37 32 25 18 19 28 31 30 28 29 26 20 12 2 1 1 2 1 1 2 4 7 16 15 11 7 4 6 7 7 4 6 9 11 14 22 30 38 44 42 32 21 11 3 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 1 37 101 141 140 137 133 122 103 85 68 56 48 41 35 28 22 18 14 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 11 22 34 46 60 75 86 93 98 101 104 109 121 141 163 186 210 222 232 244 261 283 303 316 323 328 331 327 315 298 274 251 227 200 175 159
126 126 124 121 119 120 121 122 123 125 128 129 131 134 140 145 152 157 157 151 148 147 150 153 113 75 47 23 25 16 4 1 4 5 6 8 9 13 15 12 6 2 0 0 0 0 0 0 0 2 4 6 8 6 8 11 12 11 9 7 5 5 8 12 17 19 15 9 5 2 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 2 22 58 104 112 106 102 102 96 84 69 53 44 38 32 26 20 16 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 13 24 36 47 57 69 80 86 90 96 101 105 117 133 152 172 196 211 221 230 241 259 276 292 307 312 314 313 309 297 275 248 219 192 172 157
135 134 130 128 127 126 123 121 122 125 128 130 134 138 143 145 148 150 149 146 145 147 151 156 152 141 123 98 59 33 20 12 3 0 0 0 0 1 3 4 5 2 1 0 0 0 0 0 0 0 0 0 0 0 2 6 10 13 15 12 6 3 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 19 52 90 115 85 72 72 74 70 61 51 41 34 29 23 18 14 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 1 8 17 27 38 48 55 64 74 79 84 88 91 96 105 117 131 147 168 185 199 213 225 240 256 269 281 287 291 294 296 292 277 251 224 201 182 166
137 135 133 132 131 129 125 122 122 125 128 131 136 141 148 153 158 162 164 162 160 162 167 172 176 179 180 169 138 110 84 57 25 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 15 19 14 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 0 0 0 0 1 15 44 67 74 65 49 41 42 43 42 39 33 28 23 19 14 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 19 29 39 47 54 62 71 79 84 85 85 89 96 103 110 122 137 155 174 192 208 222 234 241 252 260 264 268 273 274 270 257 240 221 201 180
139 138 137 136 135 133 131 129 129 131 133 138 145 154 160 166 174 183 191 193 190 188 191 195 198 201 202 184 171 159 143 113 58 23 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 10 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 32 72 89 56 39 28 22 21 22 23 22 20 15 11 8 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 0 6 12 20 27 38 46 53 61 70 75 78 81 84 86 90 96 100 106 113 126 148 170 189 203 209 212 217 222 226 230 234 237 239 241 236 227 213 195
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187 182 176 168 160 153 158 164 172 182 183 148 109 81 70 82 107 133 124 117 110 104 102 107 117 131 142 148 148 138 107 105 105 105 100 91 81 69 58 50 45 43 42 37 36 38 42 40 37 35 33 32 33 33 26 12 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 3 19 31 37 38 32 27 22 17 11 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 1 2 3 4 8 13 17 23 28 37 50 66 84 91 89 82 76 73 73 76 74 66 54 38 28 19 11 5 3 2 2
169 151 133 139 153 169 183 190 192 186 172 151 129 108 101 103 111 119 116 109 102 97 97 104 115 128 140 148 152 150 138 130 121 111 97 88 79 71 63 57 56 56 53 47 42 41 44 43 40 37 33 31 32 32 22 11 3 0 0 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 31 37 39 37 29 25 21 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 8 14 21 30 40 61 82 97 105 103 102 103 104 107 106 99 81 54 32 21 26 17 9 4 4
151 132 120 118 126 143 158 168 171 167 153 142 133 126 120 121 119 111 106 102 98 94 97 105 115 125 137 144 147 147 143 137 128 116 101 89 80 74 69 66 65 65 63 59 54 50 47 45 42 38 33 28 23 18 10 4 1 0 0 5 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 21 29 32 33 34 29 24 18 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 1 3 4 5 7 10 13 21 51 79 102 115 118 119 119 124 129 132 130 92 50 33 57 53 32 11 4 8
148 128 114 115 122 131 141 150 153 148 143 136 128 120 118 117 114 110 107 97 72 42 75 97 110 117 127 131 134 135 136 135 128 116 105 96 88 83 78 77 75 73 70 66 61 56 52 48 44 38 32 25 18 10 5 6 6 3 4 11 15 15 2 3 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 4 13 27 32 32 29 30 25 19 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 3 4 6 18 44 74 101 115 122 124 128 133 135 136 141 110 74 49 65 36 12 4 11 14
147 122 109 106 109 116 129 141 143 131 125 119 115 111 110 110 111 111 98 65 50 69 90 97 100 104 111 114 116 120 125 128 127 119 109 100 94 91 85 83 81 78 73 70 67 63 60 56 51 44 31 20 11 5 3 10 15 15 19 28 33 31 11 15 22 25 19 12 7 4 1 0 2 5 4 1 0 0 0 3 12 27 35 36 35 32 28 21 13 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 1 1 1 3 18 37 61 89 107 118 124 126 130 133 133 134 126 115 109 86 63 40 17 21 21
132 114 97 89 91 101 100 103 103 98 93 90 90 92 94 99 99 92 59 29 29 66 85 90 91 92 97 99 103 109 116 121 124 123 114 104 98 98 95 94 92 88 83 80 78 74 71 66 61 55 29 13 4 0 2 10 18 23 35 47 53 48 28 23 27 34 35 32 27 21 16 18 23 28 19 11 9 14 22 30 36 39 38 37 34 31 24 16 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 0 0 2 9 24 51 76 95 109 116 116 119 125 128 131 130 122 107 87 66 45 30 24 21
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98 85 53 28 18 25 10 8 12 18 26 35 42 44 44 44 43 42 39 42 47 54 60 68 76 81 83 83 84 87 95 100 104 108 109 104 95 87 83 81 81 83 89 94 98 97 91 89 87 83 74 60 40 18 13 18 31 47 58 65 69 71 68 60 49 40 36 35 35 35 30 28 27 25 20 15 12 16 22 27 33 37 37 34 31 26 20 13 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 0 0 0 0 0 0 0 0 0 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 21 36 56 80 84 88 95 103 111 119 127 128 119 96 54 36 24 18 16
81 62 40 19 6 5 4 3 2 1 3 10 18 26 32 33 33 32 29 29 31 35 43 53 62 68 69 71 72 73 81 86 88 86 80 74 68 65 63 62 64 72 83 93 101 106 106 106 105 100 90 75 57 37 33 37 46 56 60 64 68 71 70 62 49 39 34 34 35 32 33 36 40 38 25 16 14 17 22 29 36 35 34 32 28 21 16 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 1 2 6 12 18 27 41 57 70 82 93 103 112 125 130 124 108 72 44 26 18 15
72 55 38 26 17 8 4 5 13 27 27 26 26 27 30 31 31 29 25 22 21 21 29 39 48 55 57 58 61 68 73 74 72 69 61 54 48 45 45 46 52 69 84 97 108 119 120 119 117 110 101 91 78 65 60 58 58 57 57 58 62 66 63 55 43 36 34 37 42 42 44 45 46 43 40 34 25 25 27 32 39 37 33 28 21 15 10 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 1 3 7 10 18 30 42 54 68 84 102 124 141 139 125 109 84 58 33 22 16
62 45 31 27 23 12 7 14 27 40 37 33 30 28 31 30 26 23 19 16 14 14 20 28 37 47 49 53 59 68 71 70 67 64 55 46 36 30 33 40 53 72 89 103 114 123 127 126 121 113 104 95 86 81 76 70 62 53 48 47 48 52 44 34 25 25 30 36 42 46 48 48 45 39 32 26 27 34 39 42 43 38 32 24 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 26 41 58 74 91 107 123 126 114 100 80 57 33 20 12
52 35 28 28 25 19 18 21 22 18 12 12 17 29 30 27 22 17 13 11 9 10 16 23 33 45 50 54 57 60 60 61 61 53 46 40 35 33 38 49 66 84 99 111 121 126 127 124 118 109 100 90 82 78 75 70 61 46 32 21 16 11 5 1 4 10 21 34 41 46 47 46 42 33 27 26 33 41 46 47 42 34 25 17 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 8 18 38 56 71 81 91 99 103 99 87 69 45 25 13 7
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