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 11 10 10 9 8 9 9 10 10 9 9 8 7 7 7 7 8 8 7 8 8 9 10 10 10 8 8 7 8 10 11 12 12 11 11 11 11 11 11 10 9 8 7 7 7 7 6 7 8 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 11 11 11 10 10 11 11 11 11 11 10 10 9 10 11 11 11 10 9 8 6 6 6 6 6 8 8 8 7 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 7 5 4 5 7 9 8 6 6 6 5 6 7 9 11 11 10 9 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 7 6 4 4 4 4 4 5 6 6 5 4 3 4 6 8 9 8 nan
nan 9 9 8 8 8 9 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 9 10 11 11 10 10 10 11 12 13 13 13 12 12 11 11 10 9 8 7 7 7 7 7 7 7 8 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 9 10 10 10 10 10 9 10 10 10 11 11 11 10 10 10 11 11 11 11 10 9 8 7 7 7 7 8 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 7 6 5 5 6 7 7 6 6 6 6 6 7 9 10 9 9 8 7 6 7 7 8 8 9 9 9 7 6 6 6 7 8 9 10 10 10 8 5 4 3 3 3 3 4 5 6 6 5 4 3 5 7 8 8 8 nan
nan 8 7 7 7 8 9 9 10 10 9 9 9 8 8 7 8 8 9 9 9 10 10 11 12 12 12 12 13 13 14 13 12 11 11 11 11 10 9 8 7 6 6 7 7 8 8 8 8 8 9 9 10 11 12 12 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 6 5 5 6 7 8 9 9 8 8 8 8 8 8 8 8 9 10 9 9 9 10 11 11 10 10 9 8 7 7 7 8 9 9 8 6 5 5 5 5 5 6 6 5 5 6 6 6 7 8 9 9 8 7 6 6 6 6 6 5 5 6 5 5 6 8 9 8 7 7 6 7 8 8 9 10 11 11 10 8 6 6 7 8 10 11 12 12 10 6 4 2 2 3 4 4 5 7 8 7 5 4 5 6 8 9 8 8 nan
nan 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 11 12 12 13 13 13 13 13 13 12 10 8 9 10 10 9 8 8 7 7 7 8 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 5 5 5 6 7 7 7 7 7 6 6 6 6 6 7 8 7 7 7 8 9 10 10 10 10 9 7 6 6 7 9 10 9 7 5 4 3 3 4 5 5 5 6 6 6 6 6 7 8 9 9 8 7 6 6 6 6 5 5 6 5 5 6 8 9 8 7 7 7 8 9 10 10 11 11 11 10 8 7 8 9 10 11 12 12 11 8 4 2 2 3 4 5 6 7 8 8 6 5 5 6 8 9 9 8 8 nan
nan 7 7 7 7 7 7 8 9 10 9 9 9 9 9 9 9 10 11 10 10 10 10 11 11 12 12 12 12 11 11 11 9 9 9 10 10 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 10 11 13 13 12 11 11 11 11 11 11 10 9 8 8 9 9 8 8 7 7 8 8 7 7 7 6 6 5 5 5 5 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 9 9 10 10 9 8 7 6 7 8 9 9 8 6 4 3 3 3 4 5 5 6 6 6 6 6 6 7 8 9 9 8 7 6 6 6 6 6 6 6 6 6 7 8 8 8 9 10 10 10 10 10 9 9 8 8 8 9 10 11 11 11 11 9 8 5 3 2 2 3 5 6 7 8 8 7 6 7 8 8 9 9 9 9 9 nan
nan 7 7 6 6 7 7 8 9 9 9 9 8 8 9 9 10 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 10 10 9 8 9 9 11 11 11 11 10 10 11 12 13 13 13 12 12 12 13 12 11 11 11 11 12 12 12 11 9 9 8 8 8 7 6 6 6 6 7 6 5 5 5 5 5 5 5 5 6 7 8 9 9 9 10 10 11 11 10 9 8 8 8 8 9 9 10 10 9 8 8 7 7 7 8 8 8 7 5 4 4 4 4 5 5 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 8 10 11 12 12 11 9 8 7 7 7 8 8 9 10 10 10 9 8 6 5 4 3 3 4 5 6 6 7 8 8 8 8 9 9 9 9 9 10 11 11 nan
nan 7 6 6 6 6 7 8 9 9 9 8 8 8 9 9 10 10 11 11 10 9 9 9 9 10 10 9 9 8 8 9 11 11 11 10 10 9 9 9 10 11 11 11 11 11 12 14 14 14 12 12 11 11 11 11 10 9 10 10 10 10 10 10 9 8 7 7 6 6 5 5 5 5 6 5 5 4 3 3 4 4 5 5 5 7 8 9 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 7 7 8 7 8 10 11 11 10 9 8 8 7 7 7 7 7 9 11 12 12 11 10 8 8 7 7 8 8 9 9 9 9 8 7 6 5 5 5 6 6 7 7 7 7 8 8 9 9 10 9 9 8 8 10 12 12 11 nan
nan 6 6 6 6 6 7 7 8 8 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 10 10 9 9 9 9 10 11 12 13 15 16 15 12 10 8 8 7 7 6 5 6 7 7 7 7 6 5 5 5 5 4 3 3 3 4 5 5 6 5 5 5 4 4 3 3 3 4 5 6 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 7 6 5 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 6 7 8 8 8 8 9 13 14 13 12 10 9 9 9 9 8 7 8 10 11 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 9 10 10 11 10 9 8 7 7 9 11 12 12 11 nan
nan 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 11 11 11 10 10 10 10 9 9 10 11 12 14 15 15 13 10 7 5 4 4 3 3 4 4 4 4 3 3 2 2 2 3 3 2 2 2 3 4 5 6 6 6 6 6 6 5 5 4 4 4 5 6 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 4 4 5 6 7 8 8 8 7 6 5 5 6 7 7 7 7 8 9 10 9 8 11 14 16 15 13 11 9 10 10 10 9 7 8 9 11 11 10 10 10 10 10 11 12 11 11 10 9 8 8 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 10 8 7 7 9 10 11 10 9 9 nan
nan 6 6 6 6 6 6 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 10 8 7 6 5 5 6 6 5 5 3 3 2 2 2 2 3 3 3 3 3 4 5 6 6 6 5 6 6 6 6 6 6 6 7 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 5 5 6 7 8 8 8 8 7 7 7 8 10 10 9 9 10 10 11 10 9 11 13 15 15 13 11 10 10 10 10 9 7 8 9 10 10 10 10 11 12 13 13 14 13 12 11 10 9 8 8 9 10 11 10 9 8 8 8 9 9 9 10 10 10 8 7 7 8 10 10 8 7 6 7 nan
nan 6 6 6 6 7 7 7 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 10 10 9 8 8 8 8 8 7 7 6 5 5 5 5 4 4 4 3 4 4 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 7 8 9 10 10 10 9 9 10 10 10 10 10 9 8 7 7 6 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 9 9 10 11 11 11 11 11 12 11 10 9 10 11 12 11 10 10 10 9 9 8 8 8 9 9 9 10 11 12 13 13 14 14 13 12 11 10 9 9 9 10 12 11 10 9 8 8 8 9 8 9 9 9 8 7 6 7 9 10 9 7 6 6 7 nan
nan 6 6 6 7 7 7 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 9 10 10 9 9 9 9 9 8 7 7 7 7 6 7 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 7 7 8 8 8 8 8 7 6 5 5 6 7 9 10 11 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 7 7 7 8 9 9 8 8 9 10 11 11 11 10 10 9 9 9 10 10 10 11 12 12 10 8 7 7 8 8 9 10 9 8 8 9 8 8 9 9 9 9 10 11 11 11 11 12 11 11 10 9 9 9 9 10 11 11 11 10 9 9 9 9 8 9 9 9 8 7 7 8 10 10 9 8 8 9 8 nan
nan 7 6 7 7 7 7 8 9 9 9 9 9 8 8 8 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 10 9 9 9 8 8 7 6 7 8 9 10 10 10 10 9 8 7 6 6 6 6 8 10 11 12 11 11 11 11 10 9 8 8 8 9 10 10 9 9 9 9 9 9 9 8 8 8 7 6 5 5 6 8 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 8 7 7 7 8 9 10 11 11 10 10 11 12 12 11 10 9 8 7 7 8 9 9 9 10 9 9 7 7 6 5 7 9 10 9 8 9 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 7 7 8 9 10 11 11 10 10 9 9 8 8 9 9 9 9 9 9 10 11 11 11 10 11 11 10 nan
nan 7 7 7 7 7 7 7 8 9 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 9 8 8 8 8 9 10 10 10 10 10 10 9 7 7 7 7 9 11 13 13 13 13 12 12 11 10 10 9 10 11 11 10 9 9 9 9 10 9 9 9 10 10 9 6 4 3 4 5 7 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 10 11 12 12 11 10 10 10 9 9 9 8 6 6 6 7 8 8 8 7 7 7 7 6 6 7 10 10 9 9 10 10 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 8 8 8 9 9 9 9 10 11 12 12 11 11 12 12 11 nan
nan 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 10 12 12 11 10 9 8 9 10 11 11 11 11 11 10 9 9 9 10 10 10 9 9 8 8 8 8 9 9 10 10 10 11 11 10 8 6 4 4 4 6 7 8 8 8 8 8 8 7 8 7 7 7 7 6 7 7 8 8 8 9 9 9 9 10 11 11 10 9 8 8 8 9 9 8 7 6 5 5 6 6 6 6 7 8 8 7 6 8 10 10 10 9 9 9 9 8 9 8 8 8 7 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 9 10 11 12 11 10 10 11 11 11 nan
nan 8 8 7 7 7 8 8 9 10 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 10 10 9 9 9 9 9 10 12 13 13 13 11 10 10 10 9 9 8 9 9 9 8 8 8 9 9 8 7 6 6 7 8 8 8 9 10 10 10 10 10 10 10 9 8 7 6 7 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 5 5 5 5 5 6 6 8 9 9 8 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 9 10 11 12 14 14 14 13 12 11 10 9 8 7 8 8 9 8 8 8 8 8 7 6 7 7 8 8 8 8 8 9 8 8 7 8 9 10 10 10 8 7 7 7 6 5 5 5 5 5 5 5 6 6 7 7 8 8 9 9 10 9 9 8 8 9 9 9 9 9 8 7 7 6 6 6 5 5 5 5 5 6 6 6 7 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 11 12 12 12 11 10 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 nan
nan 9 8 8 8 8 8 9 10 10 11 11 10 9 8 8 8 9 9 8 8 7 7 7 7 8 8 9 9 8 7 6 6 6 7 7 7 6 6 5 5 5 6 7 7 8 9 10 10 11 11 12 12 13 13 12 11 10 9 9 8 9 9 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 7 8 8 7 6 4 3 3 4 4 4 5 5 5 6 6 7 8 9 9 9 9 10 9 9 8 8 9 9 10 10 10 9 8 6 5 4 4 4 4 4 4 5 6 6 7 7 7 7 8 9 10 10 9 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 10 10 11 12 12 11 10 9 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 nan
nan 9 9 8 8 8 9 9 10 11 12 11 9 8 7 7 8 8 8 7 6 6 6 7 8 8 9 8 8 7 6 5 5 6 7 7 6 5 5 5 5 5 6 7 7 8 8 8 9 9 9 9 10 11 12 12 12 12 11 10 10 10 11 12 12 12 11 10 10 10 9 9 8 7 7 7 7 7 6 6 6 5 4 4 4 5 5 4 3 2 2 3 4 4 5 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 5 4 4 4 4 4 5 5 6 6 7 7 7 7 7 8 10 10 10 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 10 10 10 10 10 9 7 7 7 7 7 6 5 5 6 6 8 9 9 9 9 8 7 7 nan
nan 9 9 9 9 9 9 10 11 12 12 10 9 7 6 6 6 7 6 6 5 5 6 7 8 8 8 7 7 6 5 5 6 6 7 6 6 5 5 5 6 6 7 7 8 8 8 8 8 7 8 8 9 10 11 11 11 12 12 12 11 11 12 13 14 13 12 11 10 9 9 8 8 7 7 7 7 7 6 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 5 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 6 5 4 4 4 5 5 5 6 7 7 7 7 7 7 7 8 9 10 10 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 5 3 3 2 3 5 7 8 9 8 8 7 7 7 nan
nan 9 9 9 9 9 10 11 12 12 11 9 8 6 6 5 6 6 5 5 5 5 7 7 7 7 7 6 6 5 5 6 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 11 12 12 12 11 12 12 12 12 11 10 10 9 9 9 9 8 9 9 9 8 7 6 5 5 6 6 6 6 6 6 6 5 5 4 4 3 4 5 6 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 7 6 6 5 5 4 5 5 6 6 6 7 7 7 7 7 7 6 6 7 8 9 10 8 8 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 9 10 10 9 7 5 4 4 5 6 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 10 11 13 13 12 10 9 7 6 6 6 6 6 6 5 6 6 7 7 7 7 7 6 5 4 5 6 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 10 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 9 9 10 10 9 8 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 4 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 5 4 4 4 5 6 6 7 7 7 8 7 7 6 6 6 6 7 8 9 9 8 7 7 7 7 6 7 7 8 8 7 7 7 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 8 6 6 6 6 7 7 8 8 nan
nan 9 8 8 9 10 12 13 13 11 9 8 7 7 7 7 7 7 6 6 7 7 8 8 8 7 6 6 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 8 10 10 11 11 10 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 4 5 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 7 7 7 7 7 6 7 8 9 8 7 7 8 9 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 10 8 7 7 7 8 9 8 8 8 nan
nan 8 8 7 8 10 12 12 10 9 7 7 7 7 7 7 6 6 6 6 7 7 8 8 7 7 6 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 7 8 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 7 7 6 6 6 6 7 6 5 5 5 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 5 5 6 6 7 7 7 7 7 6 5 6 6 7 8 7 6 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 9 10 11 11 10 8 7 8 nan
nan 7 7 7 7 9 10 10 9 7 6 6 7 7 7 6 6 5 5 6 6 7 7 7 6 6 5 5 5 6 7 7 8 8 8 7 6 5 4 4 4 5 6 6 7 7 8 8 8 7 6 5 5 5 6 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 6 6 6 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 6 7 8 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 5 7 8 7 6 6 7 8 9 9 9 10 10 9 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 12 12 11 10 8 8 8 nan
nan 7 7 7 8 9 10 9 8 7 7 7 7 7 6 6 5 5 5 6 6 6 6 5 5 5 5 5 6 6 7 7 8 8 8 7 5 4 4 4 4 5 6 6 7 7 7 7 7 6 6 5 5 5 6 7 7 8 8 8 8 7 6 6 7 8 8 8 7 7 7 6 6 6 5 5 5 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 5 5 6 7 8 8 8 7 7 6 6 6 6 6 5 5 5 6 6 6 6 6 6 7 7 7 7 7 6 5 5 5 5 6 7 7 6 7 8 9 9 9 10 11 10 9 7 7 9 9 10 10 10 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 9 9 8 8 9 nan
nan 7 7 7 8 9 10 9 9 8 8 8 7 7 6 5 5 5 5 5 5 5 4 4 3 4 5 5 6 7 6 7 7 7 6 5 4 4 4 5 5 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 5 6 7 8 8 7 6 6 5 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 5 5 5 5 6 6 7 8 9 10 10 9 9 9 10 9 7 6 7 8 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 nan
nan 8 8 8 8 9 10 10 10 10 9 8 7 6 5 5 4 5 5 5 4 3 3 3 4 5 6 7 7 7 7 7 7 7 6 5 5 5 5 6 6 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 8 7 7 7 7 6 6 7 7 7 8 8 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 7 7 7 6 5 5 6 7 8 7 7 6 5 5 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 6 6 7 8 9 11 11 10 9 8 8 8 8 7 7 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 8 8 9 10 11 10 9 8 7 6 5 5 4 4 4 4 4 4 4 4 5 7 8 9 9 8 8 8 9 9 8 7 6 6 6 6 6 7 8 8 8 8 8 8 8 9 9 9 8 9 9 9 8 8 8 8 8 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 7 9 10 11 11 9 7 7 8 9 8 8 8 8 8 8 7 8 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 nan
nan 10 9 9 9 10 10 10 9 8 7 6 5 5 4 4 4 5 5 5 5 6 7 9 10 10 9 9 9 9 9 10 9 8 7 6 6 6 7 7 8 8 9 9 9 9 9 10 9 9 9 9 8 8 7 7 7 7 6 6 6 7 7 7 6 5 5 5 6 7 7 6 6 6 6 7 7 7 8 8 8 8 8 9 9 8 8 8 8 7 7 7 6 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 6 7 8 10 11 11 10 8 6 7 8 9 9 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 nan
nan 10 10 10 10 11 10 9 8 7 6 6 5 5 5 5 5 6 7 7 7 8 9 10 10 9 8 8 8 8 8 8 7 7 6 6 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 7 7 6 5 5 6 6 5 6 6 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 8 9 9 9 7 6 6 7 8 8 7 6 6 6 7 7 7 8 9 9 9 9 8 7 8 8 8 9 9 10 10 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 9 9 nan
nan 11 11 11 11 11 10 8 7 7 6 6 6 6 5 5 6 8 8 8 8 9 9 9 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 6 7 6 6 7 7 7 7 7 6 6 6 5 5 5 5 6 7 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 7 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 8 7 7 6 7 7 7 7 6 6 7 8 8 8 8 9 10 11 10 9 8 7 7 7 7 8 9 10 10 10 11 11 11 10 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 10 9 7 6 7 7 7 6 5 5 6 7 8 8 8 8 9 9 8 7 7 7 6 6 5 5 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 6 6 7 7 7 7 6 6 7 7 6 6 6 7 7 7 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 9 10 10 9 8 9 10 10 10 9 8 8 7 7 7 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 9 9 10 10 10 nan
nan 11 11 10 10 9 8 7 7 7 7 6 5 5 6 6 7 8 8 8 8 9 9 8 7 7 6 6 5 5 6 7 7 7 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 10 10 9 8 7 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 7 7 7 7 7 7 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 7 7 6 5 5 6 6 7 7 7 7 8 8 9 10 11 11 11 11 9 8 8 9 9 9 9 9 9 8 7 7 8 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 8 8 8 9 9 10 nan
nan 11 11 10 9 9 7 7 7 7 7 6 5 5 6 7 7 7 7 8 9 9 9 8 7 6 6 6 5 6 6 7 7 6 5 4 3 3 4 4 5 5 6 6 6 7 7 7 7 7 6 7 7 8 8 9 9 8 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 6 6 6 7 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 8 8 8 7 6 5 5 5 6 7 7 7 7 8 9 10 11 12 11 11 10 10 8 7 8 9 9 9 10 11 10 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 8 8 8 8 8 8 9 nan
nan 11 11 11 10 9 7 6 6 6 6 5 4 5 7 8 8 8 8 9 10 9 8 7 6 6 5 5 5 6 7 8 7 6 5 4 5 6 6 7 7 8 8 9 9 10 10 10 9 8 8 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 6 6 6 6 7 7 7 8 8 9 8 7 6 5 5 5 6 7 7 8 8 9 11 12 13 13 12 10 9 8 7 7 9 10 10 10 11 11 11 10 9 8 8 9 9 10 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 11 10 9 9 9 9 8 8 8 8 nan
nan 12 12 11 10 8 7 6 5 6 5 4 4 5 7 8 9 9 10 10 9 8 7 6 5 5 5 4 5 6 8 9 8 7 7 7 8 8 9 9 10 10 11 11 11 11 11 10 9 9 9 10 10 9 8 7 7 6 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 8 9 9 9 8 7 8 8 8 8 7 7 7 7 8 8 8 7 6 6 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 6 5 6 6 7 8 8 8 9 10 11 12 12 11 10 9 7 6 6 7 9 10 9 9 10 10 10 9 8 8 8 8 9 10 10 11 10 10 10 10 10 10 11 11 11 11 12 12 11 10 10 9 9 9 9 8 8 7 8 nan
nan 12 12 11 9 7 6 6 6 6 6 5 5 6 7 9 9 10 10 9 8 7 6 6 5 5 4 5 6 9 10 11 10 9 9 9 9 10 10 10 11 11 10 10 10 9 9 9 9 8 8 8 8 7 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 8 9 9 9 8 7 7 7 8 8 8 7 7 6 6 6 6 6 6 7 7 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 10 9 7 6 6 7 8 8 9 9 8 9 9 9 9 8 8 7 6 5 4 4 4 6 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 7 8 nan
nan 11 11 10 8 6 6 6 6 6 7 6 6 6 7 8 9 10 10 8 7 6 6 6 6 6 6 8 10 11 12 11 10 10 9 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 5 5 6 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 8 7 6 6 8 9 10 11 10 9 9 8 7 6 5 4 3 2 2 2 2 3 4 5 6 5 5 5 5 5 6 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 8 8 8 8 nan
nan 10 10 9 7 6 6 6 7 7 7 7 7 6 7 8 9 10 10 8 7 7 7 8 8 8 9 10 11 11 10 10 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 5 5 5 4 4 4 5 5 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 6 5 5 6 8 10 11 11 10 9 8 7 6 4 3 2 1 1 1 1 2 4 5 5 5 5 5 5 5 5 6 7 8 8 8 8 8 8 9 9 10 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 nan
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nan 11 11 11 10 10 9 8 7 7 7 8 9 11 12 12 11 10 9 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 12 13 13 13 12 12 12 11 10 9 8 8 9 9 10 12 13 14 15 15 16 17 17 17 17 16 15 14 13 12 10 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 11 14 15 15 13 11 9 8 7 7 7 7 10 13 17 18 15 13 12 11 11 12 13 14 15 16 16 15 13 13 14 14 14 13 14 15 14 14 13 11 10 10 9 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 11 11 11 11 10 10 nan
nan 11 10 9 9 8 7 7 7 7 8 9 11 12 12 11 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 11 12 13 13 12 11 11 11 10 10 9 9 8 9 10 11 12 13 14 15 16 16 16 17 17 16 16 15 14 13 11 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 9 9 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 10 13 15 14 14 12 10 8 8 8 8 9 11 14 16 16 15 14 14 13 13 13 13 14 15 15 14 13 14 15 16 15 14 14 15 17 18 18 17 15 13 10 9 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 12 12 13 12 12 11 11 11 11 10 10 10 nan
nan 11 10 9 8 7 7 7 8 8 9 10 11 12 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 11 12 13 12 11 10 10 10 10 9 9 9 9 10 11 13 14 15 16 16 16 16 16 16 16 15 14 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 7 7 7 9 10 11 11 10 9 9 10 11 11 11 11 10 9 9 8 8 8 8 8 8 8 10 12 13 14 14 12 10 8 8 8 9 10 12 14 15 15 14 14 14 13 13 12 12 13 13 13 13 13 14 15 15 14 13 13 14 16 17 19 20 19 17 15 12 10 9 9 10 11 11 12 12 12 12 11 10 10 10 11 12 12 13 12 12 11 11 11 10 9 10 11 nan
nan 10 9 8 8 8 9 9 9 9 9 10 10 10 9 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 11 12 12 11 10 10 9 9 9 9 9 10 11 12 13 14 15 16 16 16 16 16 16 15 14 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 6 6 6 7 8 9 8 7 6 6 7 9 11 11 10 9 9 9 10 11 11 10 10 9 8 8 8 8 8 8 8 8 9 11 13 14 14 12 10 9 8 9 10 11 12 13 13 13 13 14 14 13 13 12 12 13 13 13 13 13 13 14 13 12 12 12 13 14 16 18 20 22 22 21 18 15 14 13 13 13 12 12 12 12 11 10 9 9 9 11 12 13 13 12 12 11 11 10 9 9 10 11 nan
nan 8 7 7 8 9 9 10 9 9 9 9 9 8 8 7 7 8 9 9 9 10 10 10 10 10 10 9 9 9 10 11 12 12 12 11 10 9 9 9 9 10 10 11 12 14 15 16 16 16 16 16 16 15 14 13 12 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 8 9 9 8 6 5 6 8 10 11 10 9 8 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 10 12 14 12 10 9 9 9 10 10 11 11 11 11 12 13 14 13 13 12 12 12 14 14 14 13 12 12 12 11 11 11 12 13 14 16 17 19 20 21 21 19 17 16 15 14 13 12 12 11 11 11 11 10 10 11 12 13 13 13 12 12 11 10 9 8 9 9 10 nan
nan 6 5 6 7 8 9 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 9 8 8 8 9 11 12 12 12 11 10 9 9 9 9 10 10 11 12 14 15 16 16 16 16 16 15 14 14 13 12 11 10 9 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 7 8 8 8 8 6 6 6 8 9 9 9 9 9 9 10 10 11 10 10 10 9 9 9 9 10 9 9 8 8 9 11 12 9 8 8 9 11 11 11 10 10 10 11 13 15 15 14 12 11 11 13 14 13 13 12 12 11 11 10 11 12 13 14 15 15 15 15 15 16 16 16 15 14 13 13 12 11 11 11 11 11 12 13 13 13 13 13 13 13 12 11 11 9 8 8 7 8 9 nan
nan 5 5 6 7 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 8 8 9 10 11 13 12 12 11 10 10 10 10 10 11 12 13 14 15 16 17 16 16 15 15 14 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 5 4 4 5 5 6 7 8 8 8 7 7 7 8 8 8 9 9 9 9 10 10 11 11 10 10 10 9 9 9 10 10 10 10 9 8 8 9 10 9 8 9 11 12 11 10 9 9 10 13 16 18 17 15 13 12 12 12 12 11 11 11 11 10 10 10 11 12 12 13 13 12 12 11 11 12 12 12 12 12 11 11 11 10 10 10 11 12 13 14 15 14 13 13 13 14 13 11 10 9 8 7 6 7 11 nan
nan 6 6 7 8 8 9 9 9 9 10 11 11 10 9 8 9 9 9 9 9 9 9 10 10 9 9 10 10 11 12 12 12 12 11 11 10 10 10 11 12 13 15 16 16 17 16 16 15 14 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 5 5 4 4 4 4 5 6 7 8 8 7 7 7 8 9 9 9 8 8 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 11 10 9 8 9 10 10 10 11 12 11 10 9 8 8 11 15 18 20 18 14 13 13 12 10 9 9 10 10 10 10 10 11 11 11 12 12 11 11 11 10 10 10 10 9 10 10 10 9 9 10 10 11 12 13 13 14 15 15 15 15 16 16 14 11 9 7 6 6 8 11 15 nan
nan 7 7 8 8 9 9 9 9 9 10 10 10 8 7 7 7 8 8 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 12 13 15 16 17 17 17 16 15 14 13 12 11 10 9 8 8 7 7 7 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 5 5 4 4 4 4 6 7 8 8 7 7 7 8 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 11 11 11 10 9 10 11 12 12 10 9 10 11 12 12 12 11 10 9 8 8 8 11 15 18 17 14 11 11 10 9 8 8 9 10 9 9 10 11 11 11 12 12 11 11 10 9 9 10 9 8 8 8 9 9 9 9 10 11 12 13 13 14 14 15 16 18 18 18 16 14 11 8 7 7 10 15 19 21 nan
nan 7 7 8 8 9 9 10 9 9 8 8 7 6 6 6 7 7 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 15 16 17 17 17 16 15 13 12 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 6 7 8 8 8 8 8 9 10 10 9 9 9 9 9 9 10 10 10 11 12 12 12 12 12 11 9 8 8 10 13 14 12 10 10 11 12 12 12 10 8 8 8 8 9 12 14 14 12 9 7 6 6 6 8 11 12 11 10 10 11 11 12 11 12 11 11 10 9 9 9 9 8 7 6 7 7 8 9 10 11 13 13 14 13 14 16 18 20 20 18 15 13 10 9 9 11 14 18 22 23 23 nan
nan 5 6 6 8 9 9 9 9 9 8 7 7 6 7 7 7 8 9 9 10 11 11 12 12 12 11 11 10 11 11 11 11 11 11 11 11 12 13 15 16 17 17 17 16 14 13 12 11 10 9 9 8 7 7 7 7 7 8 7 7 7 7 7 8 8 7 7 7 6 6 7 7 7 6 6 6 5 5 5 6 6 6 6 7 7 8 8 9 10 10 10 10 10 9 9 10 10 10 9 9 10 10 11 12 13 13 12 11 10 8 7 7 8 11 13 12 12 11 11 12 13 12 9 7 6 7 9 10 11 12 11 9 6 5 4 5 8 13 15 15 13 13 13 13 12 12 11 11 11 10 9 9 10 10 9 6 5 5 6 7 9 11 13 13 13 13 13 13 15 18 21 23 21 16 12 8 7 9 13 17 22 25 26 26 23 nan
nan 4 5 6 7 8 9 9 8 8 7 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 11 11 11 10 10 11 11 11 11 12 13 15 16 17 17 16 16 15 13 12 11 10 10 9 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 6 6 6 7 7 8 8 7 8 10 11 12 11 10 9 9 9 10 10 10 9 9 9 10 11 13 13 13 12 10 9 7 7 7 8 11 12 11 11 12 13 13 13 10 7 5 5 7 10 11 11 11 11 9 8 6 6 7 12 16 17 16 15 15 16 15 13 12 12 11 10 9 8 9 9 9 6 2 2 3 7 10 12 14 14 14 14 13 13 14 16 18 20 20 17 12 9 7 10 15 20 24 28 29 28 25 21 nan
nan 4 5 6 7 7 8 8 8 7 8 8 9 9 10 10 10 10 10 11 11 11 12 12 12 13 13 13 12 11 10 10 10 11 11 12 13 14 16 16 17 16 15 14 13 12 11 10 10 9 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 6 6 5 5 5 5 5 5 5 6 6 7 8 8 9 8 8 8 10 12 13 12 10 9 9 10 11 11 10 9 8 9 10 11 12 13 12 12 10 9 8 8 8 8 10 11 12 12 13 13 12 11 8 4 4 6 8 10 11 11 11 11 10 9 9 9 11 15 16 15 14 15 16 15 14 13 12 11 10 8 6 6 5 5 3 -0 -1 1 5 10 13 14 15 15 14 14 14 14 16 17 17 15 12 9 7 7 11 17 22 26 29 30 29 25 21 16 nan
nan 5 5 6 7 7 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 10 10 11 12 12 14 15 16 16 16 15 14 13 12 11 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 5 5 5 6 7 7 8 9 9 9 9 8 9 11 13 14 13 11 9 9 10 11 11 9 8 8 9 10 11 12 12 12 11 10 9 8 8 8 9 10 11 11 12 13 12 10 8 6 5 6 8 10 11 11 12 11 11 10 10 10 11 13 14 13 13 14 15 15 14 13 12 10 9 7 5 2 1 1 1 1 0 2 6 11 14 15 15 15 14 15 16 17 18 20 19 17 13 9 7 8 12 18 24 27 28 29 27 23 19 15 12 nan
nan 5 5 7 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 11 11 11 11 12 13 15 16 16 15 15 14 13 12 11 10 10 9 9 8 8 8 7 7 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 6 7 8 8 9 10 10 10 9 9 9 11 12 13 12 11 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 9 9 8 8 8 9 10 10 10 10 11 10 9 7 5 7 10 11 11 11 12 13 12 10 10 10 11 13 13 13 12 13 15 17 16 14 13 11 8 6 3 1 -0 -1 1 4 6 9 12 15 16 17 16 16 15 15 16 18 21 23 23 22 19 15 13 13 15 20 25 27 27 27 24 20 16 14 12 11 nan
nan 6 7 8 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 12 12 12 12 13 14 15 16 15 15 14 13 12 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 4 4 3 3 3 4 5 6 7 8 8 9 10 11 11 10 9 9 9 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 7 10 12 13 13 14 15 14 12 10 10 11 12 13 13 12 12 14 17 18 16 14 12 8 5 2 1 0 1 3 7 12 16 19 20 19 19 18 18 18 18 18 19 21 22 23 23 22 19 17 16 17 20 24 26 26 25 22 18 15 12 11 11 10 nan
nan 8 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 13 13 13 13 14 15 15 15 15 14 13 12 11 10 10 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 4 5 6 8 8 9 10 12 13 12 11 10 9 9 9 10 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 11 12 14 15 17 16 14 11 10 12 13 14 13 12 11 12 14 16 16 15 13 9 4 3 3 4 6 9 13 17 22 24 24 22 21 21 22 22 21 20 20 21 20 19 18 17 16 14 13 14 16 19 22 22 22 21 18 15 13 11 11 11 10 nan
nan 9 10 11 12 13 13 13 12 12 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 14 14 14 14 14 14 15 15 15 14 14 13 13 12 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 5 6 7 8 8 9 11 12 13 12 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 13 14 15 13 11 10 12 15 16 16 14 13 12 13 15 17 18 18 14 9 7 7 10 13 16 19 22 25 26 25 23 22 22 22 22 21 19 19 19 18 16 14 13 13 12 11 10 12 15 17 18 18 18 17 15 13 12 11 11 10 10 nan
nan 10 11 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 14 15 15 14 14 14 15 15 14 14 14 13 13 13 12 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 12 16 18 18 16 14 14 15 17 19 22 23 21 16 13 13 14 17 20 22 23 24 24 22 20 19 18 17 17 17 16 16 16 15 14 12 12 13 14 15 14 13 13 14 14 14 14 15 14 14 13 12 11 11 10 10 nan
nan 11 11 12 12 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 11 12 12 13 13 14 14 15 15 15 15 14 14 15 15 14 14 13 13 13 12 11 10 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 14 16 17 16 14 13 14 16 19 20 21 21 19 17 15 16 17 18 20 20 21 20 18 15 14 13 14 14 15 16 16 16 15 15 15 15 15 16 17 17 16 15 14 13 12 12 12 12 12 12 12 11 11 11 11 11 nan
nan 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 14 14 14 15 15 15 15 15 15 15 15 14 14 14 13 13 12 11 10 9 9 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 11 11 11 11 10 10 10 10 11 11 11 12 13 13 13 13 12 12 13 15 16 16 16 15 14 13 13 14 14 15 15 15 16 15 14 13 12 12 13 15 17 18 18 18 18 17 17 18 19 18 18 16 15 14 13 12 11 11 11 11 11 10 10 10 10 11 12 13 nan
nan 12 12 12 12 11 10 9 9 9 9 10 10 11 11 10 10 10 10 11 12 13 13 14 14 15 15 15 15 15 15 15 15 15 14 14 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 10 9 9 9 9 10 11 11 12 12 12 12 11 11 11 11 11 12 12 12 11 11 10 10 11 11 12 13 13 13 13 13 13 13 13 14 16 17 17 18 18 17 17 18 18 17 16 15 14 13 12 11 11 10 10 10 10 10 9 9 9 10 11 11 12 nan
nan 12 12 11 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 13 14 14 15 14 14 14 15 15 15 15 15 14 14 13 13 12 12 11 10 9 9 9 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 7 6 5 5 6 8 9 10 11 12 12 12 11 11 11 10 10 10 10 10 9 8 8 8 10 11 13 14 13 13 13 13 13 13 13 13 14 15 15 15 15 15 15 15 15 15 14 12 12 11 11 10 10 10 10 9 9 9 9 10 10 10 11 10 10 nan
nan 11 11 10 9 9 9 9 10 10 11 11 11 11 12 12 11 11 12 12 13 13 14 14 14 14 14 14 14 14 15 15 14 13 13 12 12 11 11 10 10 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 11 10 9 9 9 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 11 10 9 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 7 5 3 1 0 1 3 6 7 8 9 10 11 12 11 11 10 9 9 9 9 8 6 5 6 8 11 14 15 15 14 12 12 12 12 12 12 11 12 12 13 14 14 14 14 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 nan
nan 10 9 8 8 9 9 10 11 11 11 11 12 12 12 12 12 12 12 13 13 13 14 14 13 13 13 14 14 14 15 14 14 13 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 7 7 8 9 9 10 10 10 9 9 9 10 11 11 11 11 11 11 12 12 13 14 13 12 11 11 11 12 12 11 10 9 7 6 6 7 8 9 10 10 11 11 11 11 12 12 12 11 11 11 10 10 10 9 9 9 8 6 3 -0 -2 -2 -0 3 6 7 7 7 7 7 8 9 9 8 7 6 6 6 6 4 2 2 6 11 15 17 16 15 13 12 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 nan
nan 9 8 8 9 10 10 10 11 11 11 12 12 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 12 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 9 9 10 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 12 13 12 10 8 7 6 5 4 4 4 5 7 8 9 10 11 11 11 12 12 12 12 11 10 10 9 9 8 7 4 1 -2 -4 -3 -0 4 9 11 11 10 9 7 7 7 6 4 3 2 3 4 3 2 -1 -1 4 10 17 21 19 15 13 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 12 12 nan
nan 8 8 9 10 10 10 10 10 11 11 12 13 13 13 13 12 12 12 12 13 13 12 12 12 12 13 13 13 14 14 13 13 12 11 10 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 9 8 8 8 7 8 9 10 10 9 8 7 7 7 6 5 2 1 1 3 5 6 7 8 9 11 11 11 12 11 10 9 7 6 5 2 -1 -3 -5 -4 0 5 10 12 13 13 13 13 11 10 9 7 5 4 5 6 6 4 1 -1 3 11 19 25 24 18 14 11 10 11 11 11 11 12 11 11 11 12 12 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 nan
nan 8 8 9 10 10 10 10 10 11 12 13 14 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 11 10 10 10 11 11 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 7 6 4 4 4 4 5 6 6 8 10 10 10 9 6 3 2 1 1 3 4 5 6 8 9 10 11 11 11 9 7 5 3 0 -2 -3 -2 1 6 9 11 12 12 13 13 13 13 13 13 12 11 11 12 12 10 8 6 7 13 21 27 27 21 16 12 10 10 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 nan
nan 8 8 9 9 9 10 11 11 12 13 14 14 14 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 10 10 10 11 11 11 11 10 10 9 9 8 8 7 6 6 6 6 6 7 7 8 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 10 9 7 5 3 2 3 5 7 9 11 12 12 12 11 9 8 6 5 5 4 5 5 5 6 8 9 11 11 11 10 9 6 4 3 3 4 7 9 11 12 12 12 12 12 12 13 13 14 14 15 15 15 14 13 12 11 14 19 23 25 23 17 14 11 10 10 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 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
423 334 281 269 291 331 366 391 406 415 422 424 418 403 386 369 353 333 313 295 284 276 278 297 336 394 484 534 546 535 529 546 573 566 503 427 362 318 286 258 256 333 502 653 743 782 795 800 811 818 826 815 803 803 788 726 626 564 546 539 533 516 406 297 190 100 38 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 14 33 61 92 124 154 186 221 255 274 277 257 206 128 59 21 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
367 312 284 279 303 333 356 374 392 413 437 457 464 457 438 420 403 381 365 340 314 285 258 248 262 300 376 416 416 390 359 345 359 380 378 366 350 333 315 310 360 462 602 705 760 784 797 808 827 821 846 846 820 795 770 710 615 557 544 524 479 420 312 217 127 55 14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 21 42 68 97 123 143 159 171 173 157 116 54 12 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
310 289 287 302 330 357 381 400 420 442 465 481 490 493 488 466 439 419 405 383 351 308 266 240 237 256 293 317 309 286 270 277 314 372 406 430 442 433 422 447 517 594 665 721 759 779 785 795 825 833 853 848 806 742 690 667 617 575 554 504 415 324 236 156 83 30 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 9 22 38 51 58 62 62 58 44 19 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
279 287 308 340 372 402 426 444 457 467 474 479 482 482 480 473 460 441 421 401 375 327 276 240 232 254 272 297 310 322 340 374 429 505 531 552 564 553 544 571 617 653 683 709 731 742 743 757 778 800 801 777 734 690 665 644 608 550 488 415 333 258 186 112 52 14 1 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 7 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
292 317 350 387 423 452 471 478 477 470 459 449 449 460 472 471 456 432 407 390 359 330 300 271 269 315 361 408 452 496 542 592 640 664 636 625 630 627 623 637 666 681 689 687 689 693 691 690 708 715 694 664 636 618 609 559 504 444 380 315 255 197 135 70 24 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 0 0 0 0 0 0 0 0 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
326 360 399 438 474 502 511 502 481 453 424 405 401 419 436 435 413 385 366 365 342 355 380 401 423 459 510 556 590 623 659 699 730 714 657 631 638 650 653 657 681 695 694 672 659 657 653 647 645 627 591 572 553 519 479 425 374 331 287 238 186 133 80 33 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
366 408 451 489 519 539 535 504 461 416 380 359 354 362 365 357 345 333 327 341 349 395 448 488 511 531 564 597 612 620 625 629 638 651 625 607 616 626 627 628 646 656 649 629 616 609 599 582 561 543 509 480 447 400 356 312 275 240 204 167 123 75 34 11 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 1 1 0 0 1 1 2 5 10 13 14 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
410 459 504 538 554 548 513 462 410 367 338 322 317 316 308 299 292 288 293 320 357 420 475 504 511 515 535 556 562 556 544 531 528 548 547 538 556 561 543 518 505 527 521 514 513 511 497 462 427 427 407 373 331 288 248 215 179 143 110 85 60 26 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 6 9 12 15 16 15 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 8 7 7 7 9 9 8 7 7 7 8 10 13 17 21 26 30 34 35 35 34 32 30 28 28 29 32 31 24 15 7 2 4 13 26 42 61 78 87 95 102 107 109 107 104 103 105 109 114 117 124 133 144 154 161 162 163 162 157 150 144 143 138 129 115 103 93 81 69 60 54 56 75 97 113 116 101 91 86 86 87 88 87 83 78 72 67 62 59 59 57 53 48 45 44 45 45 39 40 39 37 36 37 40 43 46 51 57 67 74 78 80 82 84 85 83 88 95 102 110 117 125 127 121 109
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 9 8 7 6 6 7 8 7 6 5 6 7 10 14 18 24 30 37 39 40 40 39 37 33 29 26 25 25 24 19 12 6 3 3 5 15 29 45 63 76 84 91 99 106 110 112 111 108 106 107 108 115 126 139 151 162 167 167 165 161 155 147 142 140 139 135 128 120 113 102 89 79 71 69 74 87 101 108 102 99 99 100 100 97 88 79 71 63 55 49 46 43 41 37 33 33 32 32 34 34 33 33 32 31 31 34 38 41 44 49 61 69 76 81 84 86 85 83 87 95 103 113 117 118 118 118 116
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 3 7 10 11 11 9 7 6 6 6 6 6 4 3 6 9 15 20 26 33 41 45 46 45 44 42 35 24 22 22 22 21 17 11 6 4 4 5 10 23 41 58 70 71 75 84 94 101 105 106 104 101 99 99 103 115 129 143 154 165 170 170 167 160 153 147 143 143 144 143 137 129 121 113 104 96 88 84 84 90 100 107 109 111 113 112 107 96 83 70 59 50 40 33 28 25 23 22 19 19 18 18 19 19 19 24 27 27 28 32 35 37 39 44 54 64 73 79 84 87 85 86 88 93 100 108 111 115 118 116 110
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 2 5 9 11 10 9 7 5 6 7 6 5 4 4 6 9 15 23 30 37 44 49 51 50 50 48 44 31 20 17 18 18 16 12 9 7 7 8 10 19 31 46 60 71 66 67 75 85 92 95 95 93 90 89 92 99 112 127 141 152 161 165 165 161 157 154 150 145 142 139 135 130 124 120 116 112 107 103 99 98 101 108 114 118 120 117 108 97 83 69 56 45 33 22 15 12 12 12 11 10 9 8 8 9 11 10 16 24 27 29 32 33 34 37 42 49 58 68 75 80 83 85 88 90 93 101 108 112 113 112 107 106
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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 9 8 7 6 5 5 6 6 6 7 9 13 19 26 35 42 48 52 54 55 54 55 55 51 34 23 17 14 13 13 10 9 10 12 13 16 22 30 40 52 62 63 67 75 83 89 95 93 89 85 84 87 95 106 119 131 140 149 154 155 153 152 155 147 137 127 118 111 108 108 109 111 113 113 113 112 111 112 116 117 117 114 106 91 75 58 45 35 25 14 7 4 5 6 7 7 5 4 3 3 4 7 10 16 24 29 30 32 32 32 36 40 44 51 59 66 71 77 83 89 94 97 107 113 116 115 119 123 123
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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 6 5 7 7 7 7 7 10 14 18 23 30 39 47 51 53 55 56 57 59 61 60 55 40 26 14 8 7 9 8 9 10 10 12 15 22 28 36 46 58 64 69 76 82 87 90 87 83 80 80 86 93 100 109 118 126 135 142 141 139 143 145 138 125 112 100 89 86 90 96 101 101 105 109 110 108 104 102 100 97 90 79 63 44 28 16 11 6 2 1 2 3 6 5 3 2 1 1 2 6 10 14 20 25 30 31 31 30 30 32 37 41 47 54 60 67 73 80 88 95 101 109 115 112 105 112 120 128
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 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 5 6 8 8 9 10 12 16 21 26 31 38 47 51 53 54 55 57 59 61 61 58 50 36 21 10 6 8 10 10 10 9 8 9 12 20 30 40 50 58 63 67 73 78 80 80 78 76 75 77 84 90 96 103 109 117 125 129 130 132 136 134 128 118 106 96 82 75 78 84 85 74 84 91 90 84 76 70 67 64 56 43 29 16 5 1 1 0 0 1 1 3 6 5 4 2 1 1 4 9 14 19 23 26 29 30 30 28 28 31 37 42 47 53 58 65 71 79 88 93 97 104 111 111 99 101 109 121
1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 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 2 3 4 5 7 7 9 11 14 18 22 26 31 37 43 47 49 50 51 52 55 55 55 53 48 39 27 15 8 12 25 29 25 18 12 10 12 17 26 37 48 57 61 63 65 70 74 76 76 75 74 73 75 83 91 97 102 106 109 115 119 121 121 117 115 114 108 96 83 70 63 65 68 66 57 63 64 61 56 51 47 44 37 28 17 8 3 1 0 0 0 1 2 3 4 6 6 3 1 1 1 5 9 13 18 23 24 27 29 30 30 31 36 41 46 52 56 62 68 74 80 88 93 95 101 106 106 103 105 108 115
1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 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 1 2 3 4 6 7 11 15 18 21 25 29 34 38 41 42 43 43 44 45 45 45 43 40 36 29 22 16 17 25 37 39 32 23 17 14 17 24 33 44 55 61 61 63 66 70 74 77 78 77 76 76 78 85 93 99 101 102 101 102 104 105 104 100 96 92 85 74 60 47 44 43 42 39 37 38 37 37 36 37 34 28 20 12 5 2 0 0 0 0 1 2 3 4 4 4 5 4 3 3 5 8 10 13 16 20 22 24 27 30 32 35 40 46 53 59 59 65 71 76 80 84 91 90 90 95 102 106 111 112 115
1 1 1 1 1 0 0 1 1 2 2 3 2 2 2 2 2 2 2 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 1 2 4 7 10 14 18 23 25 28 30 32 33 33 33 33 34 35 34 33 33 32 30 28 27 24 25 31 39 41 36 30 24 21 21 27 33 40 48 55 61 61 63 67 71 75 78 80 80 79 77 79 84 89 93 93 90 86 84 84 84 84 81 76 67 57 47 38 31 27 22 17 17 17 17 19 21 24 24 20 12 4 0 0 0 0 1 1 1 2 3 4 6 6 4 4 5 6 7 10 10 11 12 14 16 19 22 26 29 33 38 45 52 60 67 63 67 73 77 79 78 84 87 89 97 104 108 111 113 118
1 1 1 1 1 1 1 1 2 3 3 4 4 3 2 1 1 1 1 1 1 1 1 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 1 2 3 5 7 11 15 18 21 24 26 25 25 25 24 22 23 25 25 25 25 25 25 25 26 27 26 32 38 41 41 36 31 28 26 26 29 33 38 43 48 53 56 57 60 63 66 69 73 75 76 75 74 75 77 78 78 75 67 61 60 61 63 64 59 50 40 31 22 15 10 7 6 7 7 8 8 10 13 11 10 7 3 1 2 2 3 3 3 3 3 4 6 7 8 7 4 4 5 6 8 8 8 8 9 11 15 19 23 27 31 37 44 52 59 65 69 70 72 74 74 73 79 85 90 96 101 102 105 108 111 115
2 2 2 2 2 2 2 2 3 3 3 3 2 2 1 1 1 1 1 1 1 1 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 2 4 7 11 14 16 17 18 20 22 22 20 19 18 18 18 18 19 20 20 21 23 26 29 33 37 39 41 40 38 36 34 32 32 32 33 35 37 40 42 45 48 50 51 52 54 56 58 62 65 67 67 66 65 65 62 57 52 47 45 45 44 43 40 32 23 16 10 7 3 3 2 3 4 5 5 5 5 4 3 3 3 3 4 6 8 9 9 8 8 9 11 12 12 10 7 5 4 4 4 4 4 5 7 9 11 14 17 20 24 30 37 46 54 59 63 68 70 70 69 71 70 76 86 95 101 105 104 106 109 112 112
2 2 2 2 2 2 2 3 3 3 3 2 1 0 0 1 1 1 1 1 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 1 3 6 10 15 17 16 15 15 15 17 16 14 16 18 19 20 20 21 21 22 24 29 34 38 40 41 38 34 29 27 27 29 30 32 34 36 38 40 42 43 44 45 44 44 44 44 45 47 52 55 57 58 55 48 45 39 30 23 19 18 19 20 18 16 12 8 4 1 1 1 2 3 4 5 5 5 5 6 6 7 7 7 8 10 13 15 15 15 15 16 17 17 17 15 12 10 7 4 3 4 4 4 5 6 8 10 11 13 16 20 25 31 40 46 48 55 62 67 69 70 71 70 75 83 93 98 103 106 108 111 110 111
2 3 2 2 2 3 3 3 3 2 1 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 1 2 6 10 13 13 13 13 13 12 11 6 10 15 18 19 19 21 23 27 32 36 38 39 39 38 35 31 27 24 22 21 24 29 33 35 38 40 41 43 43 43 42 40 38 36 36 37 40 44 47 48 47 44 38 28 17 10 6 4 3 2 1 2 2 2 1 0 0 0 2 3 4 5 6 6 6 6 6 7 7 9 12 14 16 16 18 18 18 19 20 19 18 16 15 12 9 7 6 4 3 3 3 4 5 6 8 10 13 17 21 24 26 29 32 37 43 50 59 69 73 73 75 79 84 90 94 98 102 105 105 103 106
2 3 3 3 3 3 3 2 2 1 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 2 5 8 10 11 10 9 9 11 10 12 14 15 17 19 21 25 30 34 37 38 36 34 31 29 26 24 22 21 22 24 28 32 35 37 38 39 39 38 37 35 32 31 30 29 30 32 34 35 36 35 32 28 23 17 11 7 5 3 1 0 0 0 0 0 0 0 0 1 2 4 7 8 8 8 9 11 13 14 15 16 17 17 17 17 18 19 19 19 18 17 16 13 11 10 9 8 6 4 4 4 4 5 7 9 11 14 16 18 20 21 23 26 30 34 39 46 57 65 70 74 77 80 83 87 90 94 99 101 100 102
3 3 4 3 3 3 2 1 0 0 0 0 1 1 1 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 2 5 7 6 7 7 8 11 13 14 15 15 16 18 20 24 28 32 33 33 32 29 27 25 24 24 24 24 23 25 26 29 31 33 33 32 31 29 28 25 24 24 23 24 24 22 21 21 21 20 18 15 12 9 6 5 3 2 1 0 0 0 0 0 0 0 0 1 1 3 9 11 13 14 16 16 16 17 17 17 17 17 17 17 18 19 18 18 17 16 14 12 12 12 11 10 7 6 6 6 5 6 8 9 11 13 15 15 16 17 19 21 23 27 31 35 39 43 47 54 61 69 76 80 83 86 88 94 96 97
4 4 4 3 2 2 1 0 0 0 0 0 1 1 1 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 4 4 7 10 12 14 14 14 14 15 17 19 22 26 29 29 29 27 25 24 22 22 22 23 24 23 22 23 25 27 26 25 24 22 20 19 18 18 17 16 16 14 13 12 11 10 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 3 5 8 12 15 14 15 16 16 16 16 17 18 18 19 18 18 18 17 17 16 15 14 13 12 12 10 9 8 8 7 8 8 10 11 11 11 13 13 14 16 17 19 21 24 28 32 32 34 38 42 47 55 60 65 72 76 82 84 83
4 4 4 3 1 0 0 0 0 0 0 0 1 1 1 1 2 2 2 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 2 3 4 4 4 7 9 11 12 13 13 13 14 15 16 18 21 24 26 25 24 23 21 19 18 19 19 19 20 19 18 17 17 18 16 14 13 12 11 10 9 9 8 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 1 1 0 1 3 7 9 10 12 14 16 16 17 18 19 19 19 18 19 19 19 20 18 18 16 15 14 14 14 12 11 11 10 9 10 11 12 12 14 15 14 13 14 15 16 18 20 23 27 27 28 30 33 36 38 42 48 55 63 73 80 83
4 4 3 2 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 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 1 2 3 3 4 4 4 5 6 7 8 9 10 11 12 13 14 16 17 20 22 23 22 20 18 16 14 14 15 16 16 15 15 13 11 9 8 7 5 5 4 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 2 5 7 9 11 13 15 17 18 20 20 21 20 20 21 22 23 23 23 23 21 19 18 17 17 15 14 14 11 8 8 10 11 12 14 15 15 15 15 15 15 16 17 17 18 19 20 22 25 30 32 35 45 50 54 57 62 69
4 3 2 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 5 6 7 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 7 7 5 4 4 4 4 3 3 5 7 9 11 12 14 15 16 18 18 17 15 13 11 10 10 11 12 12 11 10 8 7 5 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 1 2 4 6 8 9 11 12 15 17 19 21 22 23 24 24 24 25 26 27 28 28 27 25 24 22 21 20 18 18 15 11 8 8 9 9 9 10 13 16 17 18 17 15 13 13 15 14 12 11 12 15 20 24 28 36 43 41 38 39 38
4 3 2 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 3 3 4 4 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 10 8 7 5 4 3 3 2 1 0 1 4 7 9 10 12 13 13 13 12 10 7 5 6 7 7 7 8 7 5 4 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 1 2 2 3 3 2 1 0 0 0 0 0 0 0 0 1 1 3 6 9 12 12 15 18 20 22 25 26 27 29 29 30 30 31 32 32 32 30 28 25 23 22 21 20 19 16 13 10 8 7 5 6 7 10 15 16 18 18 18 17 13 12 11 9 8 8 9 12 15 19 24 27 27 25 26 28
3 2 2 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 9 9 8 6 4 2 1 1 0 0 1 2 4 6 8 9 11 11 10 8 6 4 2 1 2 3 4 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 1 2 3 4 5 4 1 0 0 0 0 0 0 0 0 0 0 1 4 7 15 18 20 23 25 27 30 32 34 35 35 36 37 38 36 33 32 29 26 24 23 21 20 19 17 16 13 10 8 5 5 6 8 10 13 15 16 17 17 18 14 11 10 9 8 9 10 11 12 15 16 17 19 22 26 29
3 2 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 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 1 3 6 7 7 4 3 2 0 0 0 0 0 0 2 3 5 7 9 8 8 7 4 2 1 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 2 3 4 5 6 5 2 0 0 0 0 0 0 0 0 0 0 1 3 7 19 24 26 27 29 33 37 40 41 41 40 40 40 39 35 31 27 24 21 20 20 19 18 17 16 15 13 11 9 8 7 8 9 11 12 14 15 17 17 17 16 14 12 12 11 12 13 14 13 14 16 18 21 24 26 28
3 1 1 0 0 0 0 0 1 0 1 1 1 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 1 3 5 5 3 1 0 0 0 0 0 0 0 0 0 1 4 6 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 1 2 3 4 4 5 5 3 1 0 0 0 0 0 0 0 0 0 1 3 7 18 27 30 30 31 36 41 44 45 43 42 41 39 36 32 26 21 18 16 16 16 17 18 17 15 15 15 14 12 11 11 12 12 12 12 12 14 16 17 16 15 14 14 15 15 15 14 14 14 15 16 17 17 20 21 22
2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 5 3 1 0 0 0 0 0 0 0 0 0 1 4 10 18 27 33 34 32 35 38 40 40 40 39 37 34 32 27 21 16 14 13 14 14 16 17 17 17 16 14 13 13 12 13 14 13 13 12 11 11 14 14 13 12 11 8 10 11 12 12 12 12 13 13 14 15 18 19 19
2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 2 3 2 1 0 0 0 0 0 0 0 0 0 0 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 1 1 2 3 4 6 7 5 2 0 0 0 0 0 0 0 0 0 0 1 5 12 22 30 32 35 32 31 32 34 34 35 34 31 27 24 19 16 13 11 10 9 10 11 13 14 14 15 14 12 11 12 11 11 10 9 9 8 8 9 9 9 9 8 7 7 8 10 10 11 11 11 11 12 13 14 16 18
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 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 2 3 3 2 1 1 2 2 1 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 8 9 8 4 0 0 0 0 0 0 0 0 0 1 3 6 14 26 36 33 35 33 31 31 33 36 34 29 24 19 16 13 10 8 6 5 5 5 7 7 8 9 9 10 9 9 9 8 7 4 3 3 4 5 7 7 7 8 8 7 7 7 9 9 9 10 10 11 11 12 13 15 18
2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 4 4 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 1 2 5 5 5 4 3 4 3 1 1 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 1 1 1 1 2 3 3 4 6 9 13 18 18 13 6 0 0 0 0 0 0 0 0 0 1 4 9 17 26 32 31 32 32 30 29 30 29 27 23 18 13 10 8 6 4 4 3 2 2 3 4 4 5 5 5 5 5 5 5 4 2 1 1 1 3 4 5 6 6 6 6 6 7 8 9 9 9 9 9 10 11 13 17 22
3 2 2 2 2 2 2 2 1 1 1 1 1 2 2 3 3 4 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 1 2 4 6 7 8 7 6 5 4 3 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 1 1 2 4 6 7 9 12 15 18 21 20 11 0 0 0 0 0 0 0 0 0 1 2 5 13 25 33 31 28 25 25 27 32 27 25 23 19 12 8 5 4 4 3 2 2 1 1 1 2 2 2 2 2 2 3 3 3 2 1 1 0 1 3 3 4 4 4 5 6 6 7 8 9 9 9 9 10 11 12 16 22 25
3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 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 1 2 3 5 7 8 8 8 7 6 7 6 5 4 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 0 1 2 3 5 7 11 14 16 18 19 20 21 21 15 2 0 0 0 0 0 0 0 0 1 2 4 24 39 42 37 29 24 23 26 30 25 21 18 13 6 5 5 4 4 4 3 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 0 1 1 1 1 2 2 4 5 6 7 8 9 9 9 9 10 11 15 21 27 30
3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 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 1 3 4 6 7 9 9 8 8 8 9 9 8 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 1 1 1 2 4 6 9 13 16 18 19 20 20 20 20 20 17 6 1 0 0 0 0 0 0 0 0 0 2 21 40 49 47 42 37 34 31 28 25 20 15 11 10 10 10 9 8 8 6 4 2 1 0 0 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 1 2 4 5 5 6 7 8 8 8 8 9 15 23 28 32 33
3 2 2 1 1 1 1 1 1 1 2 3 3 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 1 2 4 5 7 8 9 9 9 9 10 11 11 12 10 8 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 1 2 3 4 4 6 8 11 15 18 21 22 21 20 19 19 19 20 20 11 2 0 0 0 0 0 0 0 1 0 15 36 51 53 45 40 37 36 35 31 25 19 14 13 15 16 15 13 8 6 5 4 3 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 4 4 6 5 5 6 7 9 14 23 31 33 35 36
2 1 1 1 1 1 1 0 0 0 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 1 2 4 7 9 10 10 11 11 11 10 10 11 14 15 14 11 7 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 2 3 4 5 7 9 11 13 15 18 20 21 20 19 18 18 20 20 22 23 19 5 0 0 0 0 0 0 0 2 1 14 28 39 41 33 30 30 32 33 26 19 15 13 13 15 14 11 8 6 5 5 4 4 2 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 2 3 4 5 6 6 6 8 11 20 30 34 34 34 36
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 1 3 5 8 12 14 15 16 14 12 11 11 11 11 13 13 11 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 1 1 1 2 4 5 6 7 8 10 12 14 16 17 18 18 18 17 17 18 20 22 23 25 25 11 3 0 0 0 0 0 0 1 1 5 12 19 23 26 25 24 24 22 15 12 12 12 12 12 10 7 6 5 5 5 4 3 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 8 14 22 32 37 35 35 39
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 2 6 9 11 12 15 16 16 15 13 11 10 10 9 8 10 9 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 1 2 3 4 5 5 5 5 6 7 8 9 10 11 14 16 16 16 16 17 19 20 22 24 26 30 18 6 1 0 0 0 0 0 0 0 0 2 5 9 12 13 14 13 10 9 10 12 13 11 9 7 7 6 6 6 5 4 2 2 1 1 0 1 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 8 14 23 33 38 37 38 43
0 0 0 0 0 0 0 0 0 0 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 8 13 15 15 14 16 16 15 14 11 10 9 8 7 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 1 1 1 1 3 3 4 5 5 4 3 4 5 6 8 9 9 10 11 13 15 15 16 17 19 20 22 23 25 31 22 9 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 7 6 8 10 12 12 9 7 7 6 6 6 5 4 3 2 2 2 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 3 5 8 14 21 28 31 35 41 48
0 0 0 0 0 0 0 0 0 0 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 16 18 18 16 15 16 16 14 12 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 4 5 6 5 4 3 4 5 7 8 9 9 9 11 13 14 15 16 18 20 21 23 24 25 28 23 12 0 0 0 0 0 0 0 0 0 0 2 2 3 4 5 5 5 6 7 8 8 7 6 6 7 6 5 4 4 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 5 8 12 18 22 28 37 45 46
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 19 19 18 17 17 17 15 13 10 7 5 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 0 0 0 0 0 0 0 1 3 4 3 3 3 4 6 7 7 7 7 6 7 8 9 9 9 9 10 13 14 16 17 19 21 23 25 24 23 24 22 15 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 5 5 6 6 6 6 6 6 7 5 4 4 3 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 6 10 14 23 32 39 39 30
0 0 0 0 0 0 0 0 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 11 17 19 18 18 17 17 16 13 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 1 2 4 4 4 4 4 5 8 10 10 10 10 9 9 9 9 10 10 11 11 13 15 16 18 20 22 24 24 22 19 19 20 19 5 1 0 0 0 0 0 0 0 0 0 2 3 3 3 3 4 5 5 5 5 5 5 5 6 5 4 3 3 3 3 3 2 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 7 12 20 30 36 36 28 14
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