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 8 6 4 3 3 3 3 4 4 5 6 7 8 8 8 8 8 8 8 9 10 11 11 11 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 6 6 6 6 7 7 8 8 8 7 7 7 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 8 8 7 7 8 7 7 7 8 8 9 9 9 9 8 nan
nan 4 4 4 4 4 5 5 5 6 7 7 8 8 9 10 10 9 9 10 11 11 12 12 12 12 12 12 13 13 12 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 9 11 10 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 6 5 6 6 6 7 8 8 8 8 7 7 7 8 9 10 9 9 9 10 10 9 8 8 8 9 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 9 8 nan
nan 2 3 4 5 6 6 6 7 8 9 10 11 11 11 12 11 11 11 11 12 12 12 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 10 9 8 9 9 10 10 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 7 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 9 9 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 nan
nan 4 5 6 7 7 7 7 8 10 11 12 12 13 13 12 12 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 8 8 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 6 7 7 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 11 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 nan
nan 5 7 8 9 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 10 10 11 11 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 8 9 10 10 10 9 9 10 10 10 9 9 9 10 10 10 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 6 8 9 9 10 11 12 12 11 10 10 9 9 8 8 8 9 10 10 11 11 12 11 11 11 10 9 8 8 8 8 7 7 7 8 8 8 9 9 8 7 7 7 6 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 8 9 9 10 10 9 9 10 10 10 10 9 9 10 10 11 10 10 10 11 10 9 8 7 7 8 8 9 9 9 8 9 9 10 10 9 9 8 9 9 8 9 9 10 10 10 11 11 11 11 10 11 11 11 11 12 12 12 11 10 nan
nan 8 8 8 8 8 9 10 10 9 9 8 7 6 6 6 8 9 10 10 10 11 12 12 11 11 10 9 8 7 7 7 7 7 8 8 9 8 8 8 7 7 7 8 8 8 7 8 8 8 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 9 10 10 10 9 9 8 9 10 11 11 11 11 10 9 9 8 8 9 9 9 9 9 9 9 9 10 9 9 10 10 10 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 9 10 10 9 9 9 9 9 10 10 10 9 9 10 9 9 10 10 10 10 10 9 10 10 9 10 10 11 11 12 12 12 11 10 9 nan
nan 10 9 9 8 8 8 9 8 8 8 8 7 7 8 8 9 10 10 10 10 10 10 10 9 9 8 8 7 8 8 8 8 9 9 9 9 8 7 6 6 7 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 7 8 8 8 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 9 9 8 8 9 10 10 10 9 9 9 10 10 11 11 11 11 10 8 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 8 9 9 10 10 10 10 10 10 8 7 nan
nan 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 7 7 6 6 5 5 6 7 8 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 9 10 10 10 9 10 10 11 11 10 10 11 10 9 8 7 9 10 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 11 11 10 9 9 10 10 10 11 11 10 10 10 10 10 9 9 9 9 10 10 9 9 10 10 9 8 7 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 8 8 9 9 8 8 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 11 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 11 11 10 10 10 9 9 10 10 11 11 10 10 9 9 9 10 12 12 11 10 9 9 10 10 10 10 10 10 11 10 10 10 10 10 9 8 9 nan
nan 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 7 7 6 5 4 4 3 4 4 5 5 6 6 6 5 6 6 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 9 8 8 9 9 10 10 10 9 9 9 10 11 11 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 10 12 12 12 11 10 9 10 10 11 11 11 11 11 11 10 10 9 9 9 8 8 9 nan
nan 12 12 11 11 11 10 10 10 10 10 9 9 8 8 7 7 6 5 5 4 3 3 3 4 5 6 7 8 8 8 8 8 9 10 11 11 11 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 8 8 8 7 7 7 8 8 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 9 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 11 11 11 10 9 9 10 11 11 11 11 10 10 10 11 11 11 11 11 10 9 9 9 9 10 12 13 13 12 11 10 11 11 12 12 12 11 10 10 9 9 8 8 9 9 8 9 9 nan
nan 12 11 11 10 9 9 9 9 9 9 8 8 7 7 6 6 6 5 5 5 5 6 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 11 11 12 11 11 11 11 10 10 10 10 10 10 11 11 12 12 11 10 10 10 11 12 12 11 11 10 10 11 11 12 12 11 11 10 9 9 9 9 11 12 13 13 13 12 11 12 13 14 14 13 11 10 9 8 8 8 8 8 8 9 9 9 9 nan
nan 10 10 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 11 10 10 11 12 12 12 12 11 11 11 11 12 12 12 11 10 9 9 8 9 9 11 12 12 13 13 12 12 12 12 14 14 13 10 9 8 8 7 7 7 7 8 8 9 9 9 9 nan
nan 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 9 9 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 10 12 12 12 11 11 11 11 12 12 11 11 11 11 11 12 12 11 11 10 9 9 8 9 9 10 11 12 12 12 12 12 11 11 12 12 12 9 8 7 7 8 8 8 8 8 8 9 9 9 9 9 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 8 8 9 10 11 10 10 10 11 11 11 11 10 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 5 5 5 6 6 6 7 8 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 8 9 10 10 10 10 10 10 10 11 11 11 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 11 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 9 9 10 10 nan
nan 6 7 7 7 7 7 7 7 7 7 7 8 9 9 10 11 12 12 13 13 13 12 12 12 13 12 12 11 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 6 6 6 6 6 7 6 6 5 5 5 6 6 6 7 8 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 8 7 9 10 11 11 10 10 9 10 10 11 12 13 14 13 12 11 10 9 9 9 10 10 10 10 9 9 8 8 7 7 8 9 10 11 11 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 11 11 11 10 10 10 10 11 11 11 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 10 11 12 nan
nan 6 6 6 6 7 7 7 8 8 9 10 10 11 12 13 14 14 14 14 14 13 12 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 9 9 8 7 6 6 5 6 7 7 7 7 7 7 7 7 6 6 6 7 8 8 9 9 10 10 10 11 11 10 10 10 10 9 10 10 10 9 8 8 8 9 10 11 11 10 8 8 8 10 12 15 17 17 16 14 12 11 10 9 9 9 9 9 9 8 7 7 6 6 6 7 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 9 9 10 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 10 10 11 12 12 nan
nan 6 7 7 7 8 8 9 9 10 11 11 12 12 13 13 13 13 13 12 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 7 6 5 5 6 7 8 8 8 8 9 8 8 8 8 7 6 7 7 8 9 9 10 10 10 10 10 10 10 10 9 10 10 9 9 8 8 9 9 9 9 10 9 7 7 9 12 16 19 20 20 18 16 14 13 12 11 9 9 9 8 7 6 5 4 4 5 6 7 7 8 7 7 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 9 8 8 8 8 8 8 9 9 10 11 11 12 12 13 nan
nan 8 8 8 8 8 9 10 10 11 11 11 12 12 12 11 11 11 10 10 10 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 8 8 8 8 9 9 8 8 8 8 9 9 9 10 10 9 8 7 6 6 7 7 8 7 6 7 7 7 8 9 9 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 9 10 9 9 9 8 9 9 9 9 9 9 9 8 8 10 13 16 17 18 18 17 16 15 14 14 13 12 10 10 9 7 5 4 4 4 4 5 6 6 6 6 6 7 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 9 10 11 12 12 11 10 9 8 7 8 8 8 9 9 10 10 11 11 11 12 12 12 nan
nan 8 8 8 8 8 9 10 10 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 10 10 10 11 10 10 8 7 7 7 7 7 6 5 5 5 5 6 7 9 10 9 8 7 7 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 12 11 11 11 11 11 11 12 12 13 13 12 12 11 11 10 9 8 7 6 5 5 5 5 5 6 7 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 9 9 9 9 10 11 12 12 11 10 9 7 7 8 8 8 9 10 10 10 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 10 10 11 10 10 10 10 9 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 12 12 11 10 9 8 8 7 6 5 4 5 5 5 5 6 7 10 11 10 8 7 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 9 9 10 10 10 11 12 12 13 13 12 11 9 7 6 5 5 6 7 7 7 7 6 6 6 7 8 8 8 8 9 9 9 9 8 8 7 6 7 7 8 9 9 9 10 10 11 11 11 11 10 9 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 12 12 12 12 12 11 10 8 8 7 7 6 6 6 5 5 5 5 5 5 6 6 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 12 12 13 14 13 11 10 8 8 7 5 4 3 3 5 5 5 5 6 9 11 11 10 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 10 11 11 10 10 9 8 7 7 8 9 8 7 7 7 7 7 8 9 10 12 13 14 14 14 13 12 11 10 9 7 7 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 10 10 9 9 10 11 11 11 10 10 10 10 9 7 7 7 8 8 9 10 11 10 10 9 9 9 10 10 9 9 nan
nan 12 12 12 13 14 14 13 12 10 7 6 5 5 6 5 5 5 5 5 6 6 6 6 7 7 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 12 12 13 13 14 13 11 10 8 7 7 6 4 3 2 3 5 6 6 6 8 10 11 11 9 8 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 10 11 10 9 8 7 7 7 7 8 9 10 12 13 14 15 16 16 17 16 14 11 9 7 7 8 8 8 8 9 9 8 9 9 9 9 9 9 9 8 9 10 10 10 9 8 8 10 11 11 11 10 10 10 10 8 7 7 7 8 8 9 10 10 9 8 8 9 9 10 10 9 9 nan
nan 10 10 9 10 11 11 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 13 14 14 13 11 9 7 7 7 6 5 4 2 2 3 5 6 6 7 9 11 12 10 10 9 9 9 9 8 8 8 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 9 10 11 11 10 9 9 8 7 7 7 9 10 12 13 14 16 17 18 19 19 19 17 16 14 13 11 10 9 9 10 10 10 10 9 9 9 9 9 9 9 10 11 10 8 6 7 8 10 11 11 11 10 10 10 10 8 7 6 7 8 9 10 11 10 9 8 9 10 10 10 10 9 9 nan
nan 9 8 8 7 5 4 3 4 5 7 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 10 11 12 12 13 14 14 12 10 8 7 7 7 6 6 5 3 2 2 3 5 6 7 9 11 13 13 11 9 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 10 8 7 8 9 10 10 10 9 9 8 7 8 10 12 13 14 16 17 18 19 20 21 22 22 22 22 21 19 16 14 12 12 11 11 11 10 9 9 9 9 9 9 9 9 8 7 7 8 9 10 11 11 11 10 10 10 9 7 6 6 7 9 10 11 10 9 9 9 10 11 11 10 10 9 9 nan
nan 9 9 8 7 5 4 3 5 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 9 9 9 9 10 10 11 12 12 13 13 13 12 10 8 7 6 6 6 6 6 5 4 3 2 3 5 6 8 11 14 14 12 9 7 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 12 11 8 5 5 6 8 9 10 10 10 9 9 10 11 12 14 16 18 19 19 19 19 20 21 22 22 22 23 23 23 21 19 16 14 11 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 11 11 11 11 10 8 7 6 6 7 9 10 11 10 8 8 9 10 10 10 10 9 9 9 8 nan
nan 11 10 10 10 9 9 10 10 10 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 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 9 9 9 10 10 10 11 11 11 12 13 13 12 11 9 8 7 6 6 6 6 7 6 4 2 2 3 5 7 11 15 15 11 9 7 9 10 10 9 9 9 10 10 11 11 11 12 12 12 11 10 9 10 10 11 12 12 12 12 11 8 6 5 5 7 8 9 10 10 10 10 10 11 12 13 15 17 18 18 17 16 16 16 16 16 17 18 20 22 23 23 21 17 13 11 10 10 10 10 10 8 8 7 8 9 9 8 8 8 9 10 10 11 10 8 7 7 6 7 9 10 10 9 7 6 7 8 9 9 9 9 8 8 8 9 nan
nan 12 12 12 12 12 12 13 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 10 10 10 9 9 8 8 8 8 8 8 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 11 12 13 13 13 12 10 8 7 7 7 6 6 7 7 6 3 1 2 3 6 12 16 16 13 10 9 10 11 10 10 9 9 10 10 10 11 11 12 13 12 11 10 10 10 10 11 12 12 12 11 10 8 6 5 5 6 8 9 9 9 9 10 10 10 10 12 13 14 15 15 14 12 11 10 9 9 10 11 12 14 17 20 21 20 17 14 12 12 12 11 9 7 7 8 9 9 8 7 7 7 8 9 10 10 9 8 7 7 7 8 9 9 8 7 6 6 8 8 9 9 9 9 9 9 10 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 12 13 14 13 12 9 7 7 7 7 6 6 7 8 7 5 3 2 3 7 14 18 18 15 12 10 11 11 10 10 10 10 10 10 11 11 12 12 13 13 11 10 10 10 11 11 11 11 10 10 9 7 6 5 5 6 8 9 9 9 9 9 10 10 10 11 12 12 13 12 11 10 8 7 6 6 6 7 8 8 10 13 16 18 18 16 15 14 12 10 7 6 7 9 9 8 7 7 7 8 9 9 10 9 8 8 8 8 9 9 9 8 7 7 7 8 9 9 10 10 11 11 11 12 14 15 nan
nan 9 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 9 9 10 10 10 10 10 11 12 14 15 14 13 9 7 7 7 6 5 5 6 8 9 8 6 5 6 10 16 18 17 15 12 10 11 10 10 10 9 10 10 11 12 12 12 12 13 13 12 11 11 11 11 11 10 9 9 9 9 7 6 5 4 5 7 9 9 9 9 10 11 11 11 11 11 11 11 10 9 8 7 6 6 7 7 8 8 8 8 9 11 13 15 15 15 14 12 9 8 7 8 9 9 8 8 8 8 9 10 10 9 8 8 8 9 10 10 10 9 9 9 9 9 10 11 11 12 13 13 14 14 15 16 16 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 13 14 15 15 12 9 8 8 8 6 5 5 6 8 9 9 9 9 10 14 18 18 16 13 11 10 10 10 9 9 9 9 10 11 12 13 13 12 13 13 13 12 12 12 12 11 10 10 9 10 10 8 6 4 3 4 6 8 10 10 10 11 11 11 11 11 11 11 10 9 8 7 7 7 7 8 9 10 9 8 8 8 9 11 12 13 13 13 11 10 9 10 10 10 9 9 8 9 9 10 10 9 7 7 8 9 10 11 11 11 11 11 11 11 11 12 13 14 14 14 14 14 14 14 14 13 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 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 11 13 15 16 15 12 9 8 8 8 7 5 5 6 7 9 9 9 11 14 18 19 17 14 12 10 10 10 9 8 8 9 9 10 11 12 12 13 13 14 14 14 14 13 12 11 11 10 10 10 11 10 8 7 4 3 4 5 8 10 11 11 12 11 11 11 12 11 10 9 8 7 7 7 7 8 9 10 10 10 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 7 7 7 8 8 8 6 6 7 8 9 10 11 11 12 12 12 12 12 12 13 14 14 13 13 12 12 12 11 11 10 nan
nan 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 13 15 15 14 11 9 7 7 7 6 4 5 5 7 8 8 8 11 15 19 18 14 11 10 10 10 10 9 8 8 9 9 10 11 11 12 12 14 15 15 15 14 13 12 10 10 10 10 11 11 10 9 7 5 4 5 6 8 10 11 12 12 11 11 11 11 11 9 8 8 8 8 8 8 9 10 11 12 12 11 11 11 11 10 8 7 6 6 6 5 5 5 4 5 5 5 5 6 6 6 6 5 6 6 7 8 9 10 10 11 11 11 11 11 12 12 13 12 12 10 10 10 10 10 10 10 nan
nan 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 13 14 14 13 12 10 9 7 6 5 4 4 5 6 7 7 8 10 14 16 14 11 10 10 11 11 10 9 8 8 8 9 10 10 10 11 12 13 15 15 15 14 12 10 9 10 10 10 10 10 10 9 8 7 6 6 6 8 10 11 12 13 12 11 11 11 10 8 8 8 8 8 8 9 10 11 13 14 15 16 15 15 14 12 10 8 7 6 6 5 4 3 2 3 3 4 6 7 7 7 6 7 7 7 7 8 8 9 9 9 10 10 11 11 11 11 11 10 9 9 10 10 10 10 10 10 nan
nan 7 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 8 9 9 9 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 10 9 10 10 11 11 12 13 13 14 13 13 11 9 7 5 4 4 4 5 6 6 7 9 13 14 12 11 11 12 12 11 10 8 7 8 8 9 9 9 10 10 11 13 15 15 15 14 11 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 9 11 13 14 13 12 11 10 9 9 8 9 9 8 8 8 10 12 14 16 17 17 16 15 14 13 12 11 10 10 9 9 8 6 5 5 6 7 9 9 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 10 10 10 10 9 8 9 10 11 11 10 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 10 10 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 11 11 12 13 14 15 15 13 11 8 5 4 3 4 5 5 4 5 7 11 12 12 12 13 13 12 10 8 7 7 8 9 9 9 9 9 10 12 14 15 16 15 14 11 9 9 9 10 10 10 10 10 10 9 9 9 8 6 6 7 10 14 15 14 12 11 10 10 9 9 9 8 7 7 8 10 12 14 14 14 13 12 11 11 11 11 11 12 12 13 14 13 12 12 11 11 12 12 12 12 13 13 13 14 14 13 12 11 10 8 8 7 7 7 8 8 8 9 9 9 10 10 11 10 9 8 8 nan
nan 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 10 9 9 8 8 8 9 10 10 10 11 11 11 10 10 11 11 11 13 15 16 16 15 13 9 6 4 3 3 4 4 4 4 6 9 11 12 13 13 12 10 8 7 7 8 9 10 10 9 9 10 10 12 14 16 17 16 13 9 8 8 9 10 11 11 11 10 10 10 9 9 7 6 5 6 9 13 14 13 12 11 10 9 9 8 8 7 7 7 8 10 12 12 11 9 8 7 8 9 9 9 10 11 12 14 16 17 17 16 16 16 16 15 15 15 16 16 17 18 17 16 14 13 11 9 7 5 5 5 5 6 7 8 9 10 10 11 10 10 9 8 8 nan
nan 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 7 8 8 9 8 8 9 9 9 10 10 9 9 8 8 9 10 10 11 11 11 11 11 10 10 10 10 11 12 15 17 17 16 14 11 8 5 4 3 4 4 4 4 5 9 11 12 13 12 11 9 8 8 8 9 10 11 11 10 10 9 10 12 14 16 17 16 12 8 7 6 7 9 10 11 11 11 10 9 9 8 7 6 6 7 9 11 12 12 12 11 9 9 8 8 7 7 8 8 9 10 11 10 9 7 6 6 6 7 7 8 8 9 11 13 16 17 18 18 17 18 18 18 19 19 19 19 18 19 18 17 16 13 11 8 7 5 4 4 5 6 8 10 10 10 10 10 10 9 9 8 9 nan
nan 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 7 7 9 9 9 9 8 9 10 10 10 9 9 9 8 9 9 10 11 11 11 11 11 10 10 10 10 10 11 12 15 17 17 17 15 11 9 6 4 3 3 4 4 4 5 8 11 13 13 12 10 10 9 8 8 9 10 11 12 11 10 9 9 11 13 14 15 15 13 10 8 6 5 6 8 9 10 10 9 9 8 7 7 7 7 8 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 10 9 9 8 6 5 5 6 6 7 7 8 9 10 12 14 15 16 16 17 17 18 19 20 20 19 17 16 16 17 18 17 15 11 9 7 6 5 5 6 8 10 10 10 10 9 9 9 9 8 8 9 nan
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nan 11 11 10 9 8 8 9 10 10 10 10 10 11 11 12 11 11 9 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 14 14 14 14 13 12 12 13 16 20 22 23 23 22 21 20 21 21 21 20 19 17 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 15 17 16 14 10 7 9 nan
nan 7 7 7 7 7 6 6 6 7 7 8 9 10 11 11 11 11 10 9 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 11 10 10 11 11 12 12 12 13 14 16 18 20 21 20 19 18 18 17 16 15 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 10 10 10 10 11 11 11 9 9 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 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 11 12 12 12 12 12 12 11 11 11 11 12 13 13 13 11 11 12 nan
nan 5 5 5 4 4 4 5 6 7 7 8 9 10 10 10 11 10 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 13 13 13 12 11 9 9 9 10 11 12 12 13 14 15 15 16 17 17 16 15 14 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 11 9 8 8 8 9 10 10 10 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 11 12 12 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 nan
nan 7 6 5 4 3 4 6 8 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 13 12 11 9 9 10 10 11 12 12 12 13 13 13 13 14 14 13 12 12 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 11 10 9 8 8 9 10 10 9 9 10 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 12 12 11 11 10 10 10 10 11 12 13 13 12 11 11 11 11 12 12 12 11 11 11 11 12 12 13 nan
nan 10 9 8 7 5 5 6 8 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 13 12 10 9 9 10 11 12 12 11 11 11 11 11 11 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 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 9 10 10 9 9 10 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 11 11 10 10 11 11 11 11 12 12 12 12 12 11 11 11 12 13 13 12 11 11 11 11 12 13 13 nan
nan 12 12 11 9 8 6 5 5 6 7 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 14 14 13 11 10 10 11 12 11 10 9 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 14 13 13 11 11 11 12 12 13 13 nan
nan 13 13 12 11 9 7 5 5 5 6 7 8 9 10 10 10 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 13 14 15 15 15 14 12 11 11 11 10 8 6 4 4 5 7 8 9 9 10 10 10 10 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 12 12 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 13 12 nan
nan 13 13 12 11 9 8 7 6 7 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 16 16 15 14 13 11 9 6 3 2 1 2 4 6 7 8 9 9 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 12 12 12 13 13 13 12 12 12 12 12 12 12 12 nan
nan 13 13 12 12 10 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 15 16 16 16 16 14 12 8 4 2 2 1 1 3 4 6 7 9 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 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 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 12 12 12 12 11 10 9 9 10 10 11 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 12 12 12 12 13 14 15 15 16 16 15 13 10 7 4 3 2 1 2 3 5 7 9 10 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 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 nan
nan 12 12 11 11 11 10 11 11 11 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 12 12 12 12 12 13 13 14 15 17 18 17 15 11 8 5 3 3 3 4 5 7 9 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 12 12 12 12 11 11 12 12 12 12 12 11 12 12 12 12 12 nan
nan 11 11 11 11 11 11 11 11 11 11 12 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 11 11 11 12 11 11 12 12 12 13 15 18 20 21 19 15 11 7 5 5 5 6 7 9 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 14 17 19 20 19 16 12 9 7 7 7 8 9 10 11 11 11 12 12 12 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 12 12 11 11 11 11 11 11 12 13 15 15 16 16 14 12 10 9 9 9 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 11 11 11 11 12 12 12 12 13 12 12 11 11 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 13 13 12 12 12 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 9 8 9 10 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 11 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 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 12 12 13 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 12 13 13 13 13 12 12 12 11 12 12 12 11 11 12 12 12 12 12 13 nan
nan 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 12 12 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 13 13 13 13 12 12 13 13 13 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 10 9 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 12 13 14 14 13 13 12 12 12 12 12 11 11 11 12 12 12 12 12 13 nan
nan 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 14 14 13 12 12 12 12 12 12 12 12 13 13 13 13 13 12 13 13 14 14 13 13 13 12 11 11 11 12 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 13 13 14 14 13 13 12 12 12 11 11 11 11 12 12 12 12 13 14 nan
nan 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 13 14 14 14 13 13 14 14 14 13 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 13 14 14 14 14 13 13 13 13 12 12 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 12 12 13 13 14 14 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 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 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 8 9 11 12 13 14 14 14 15 15 14 13 12 12 12 11 11 12 12 12 13 13 13 12 11 11 11 12 13 13 13 13 13 13 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 11 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 nan
nan 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 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 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 11 10 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 10 11 12 13 14 14 15 15 15 14 13 12 12 11 11 11 12 12 12 12 12 11 10 10 11 11 12 12 12 12 12 12 12 12 11 11 10 10 11 12 13 13 13 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 nan
nan 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 10 10 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 9 10 11 11 12 12 14 15 15 14 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 14 14 13 12 11 10 9 10 12 14 14 14 13 12 11 10 10 10 9 9 8 8 8 9 10 10 9 9 9 9 9 10 11 11 12 12 12 12 12 12 11 12 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 12 11 11 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 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 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 10 9 9 10 12 13 14 14 13 13 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 11 13 14 15 15 13 12 10 8 9 11 13 14 15 14 13 11 11 11 10 9 8 7 7 8 9 11 11 12 11 10 10 9 8 9 9 10 11 11 12 12 12 11 11 11 11 11 11 11 nan
nan 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 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 11 11 10 10 10 10 9 9 8 8 10 10 12 12 12 11 11 11 11 11 10 10 10 10 11 11 10 9 8 8 9 11 13 15 15 14 11 9 8 8 11 13 14 14 14 13 12 12 12 11 10 9 7 7 8 10 13 14 14 14 13 13 12 10 8 8 9 9 10 11 12 12 11 11 11 11 11 11 11 12 nan
nan 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 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 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 9 10 10 10 9 9 9 10 10 10 10 11 12 12 12 10 8 8 9 11 13 14 14 12 10 9 9 12 14 15 14 13 12 12 12 12 12 11 10 8 8 9 11 13 15 15 15 15 15 15 13 10 9 8 8 8 10 11 12 12 11 11 11 10 10 11 12 12 nan
nan 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 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 11 11 10 11 11 10 9 8 8 8 8 8 8 8 9 9 10 10 11 12 12 12 11 8 7 7 9 11 13 15 15 14 12 12 12 14 14 13 12 12 11 12 12 12 11 10 10 9 10 12 14 15 14 13 13 14 15 16 14 12 10 8 7 8 9 10 12 13 12 12 11 10 10 10 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 12 12 11 10 10 11 11 10 9 8 8 8 8 8 8 9 10 10 11 11 12 12 11 8 6 6 7 9 11 14 16 17 16 15 14 14 13 12 11 11 12 13 13 12 11 11 10 10 11 13 14 14 13 12 11 12 13 14 15 14 13 11 9 7 7 8 10 11 13 13 13 12 11 10 10 10 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 13 13 12 10 10 10 11 11 11 10 9 8 9 8 8 8 8 9 10 11 12 12 11 8 6 5 6 7 10 12 14 15 15 15 14 14 14 14 14 13 14 14 14 14 13 11 11 11 11 11 12 12 11 11 10 10 11 12 14 15 15 14 11 9 8 8 9 10 11 12 13 13 12 11 10 10 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 2 2 2 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 8 17 25 29 31 32 36 37 33 30 26 30 41 51 54 50 49 51 51 47 38 27 25 23 25 27 28 31 33 37 37 30 28 28 29 31 34 36 38 41 44 49 53 57 54 50 45 39 33 29 22 18 18 21 29 31 32 32 33 36 40 53 72 84 88 89 88 86 84 81 78 77 82 90 91 84 77 75 74 75 77 79 81 75 72 74 76 74 65 59 56 56 56 56
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 2 1 1 1 1 0 0 0 0 0 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 16 21 17 14 9 5 4 17 21 31 41 49 52 49 53 57 60 58 52 37 35 33 30 28 29 31 31 31 31 29 28 29 30 33 37 40 40 40 43 48 50 50 52 52 48 42 35 30 24 20 20 22 27 28 31 35 39 41 42 50 63 73 75 67 69 74 79 81 81 81 82 80 75 74 78 85 82 77 75 76 82 80 76 74 74 70 64 59 56 55 52 50
0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 4 2 2 5 4 4 3 2 1 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 2 2 1 5 22 27 32 37 46 59 59 59 58 59 63 67 56 52 48 41 33 31 31 31 31 31 30 30 29 32 37 39 42 41 42 45 48 48 48 48 49 49 47 41 35 30 25 23 25 23 26 31 37 42 43 45 51 59 66 76 61 60 65 73 80 80 80 77 71 68 67 70 76 79 80 80 86 96 91 81 75 76 79 74 65 56 50 47 45
1 0 2 3 3 3 2 1 1 2 3 4 5 4 3 2 2 4 5 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 9 11 20 26 29 31 35 42 57 59 57 55 58 68 70 65 59 52 44 39 38 40 45 48 46 35 34 34 35 38 41 43 43 45 48 50 50 51 55 59 56 53 49 44 39 35 31 29 26 27 31 39 42 45 50 56 61 64 72 68 64 62 66 76 81 83 83 81 79 75 76 79 80 79 80 81 85 90 92 86 86 89 84 72 55 50 47 44
4 4 6 6 6 4 4 4 4 5 7 8 8 7 5 4 4 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 1 1 3 5 8 11 15 16 18 22 26 28 32 36 43 50 56 56 52 47 48 62 69 67 60 51 43 48 49 53 55 54 45 37 37 40 43 44 44 44 46 49 52 54 56 57 60 65 64 61 58 53 48 45 42 37 31 28 31 38 39 41 45 51 59 63 70 74 71 62 61 70 80 88 91 90 89 88 89 89 88 84 84 83 84 94 105 101 96 92 89 84 62 55 49 44
9 10 10 9 8 8 8 9 9 8 8 9 9 8 7 7 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 4 2 2 1 1 1 3 3 3 5 8 12 14 17 19 22 26 28 29 32 37 44 51 58 62 63 58 54 61 70 68 61 53 45 40 46 51 53 52 48 41 38 40 45 53 56 57 53 51 53 60 64 67 67 65 66 68 69 66 60 55 51 48 44 38 32 31 36 39 41 44 52 56 60 67 75 79 68 67 73 81 87 89 93 94 96 97 99 96 93 91 89 93 108 111 110 106 100 94 91 77 64 53 44
12 12 11 9 8 6 5 5 6 6 6 6 6 6 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 4 3 3 2 2 2 1 3 5 7 10 12 13 15 18 22 27 30 31 33 37 44 51 55 60 64 69 70 62 60 55 51 51 51 45 44 45 47 50 54 48 44 41 42 48 60 66 67 60 54 55 64 69 73 73 70 65 68 72 71 65 59 56 52 48 44 39 37 42 45 47 51 54 56 58 65 75 83 79 79 80 80 83 89 96 101 103 103 104 103 101 98 92 89 99 107 113 115 110 101 95 83 71 57 46
13 12 10 9 6 4 4 4 3 3 4 5 5 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 2 2 3 4 7 11 14 16 17 17 18 22 27 31 34 35 37 43 50 55 57 60 62 62 60 59 56 53 56 61 61 55 51 47 46 51 59 52 47 45 46 48 58 64 63 59 54 52 64 69 70 72 75 68 68 73 76 72 62 60 58 54 51 47 45 47 50 52 57 63 65 66 70 77 81 82 82 81 81 100 99 95 98 104 109 112 110 101 90 88 91 91 93 101 113 100 82 71 69 66 57 56
6 7 7 6 5 2 4 3 3 3 3 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 7 11 15 18 19 19 19 22 27 31 34 35 35 38 46 53 57 54 58 63 68 68 62 58 56 58 61 62 58 52 48 48 54 57 55 53 54 56 53 55 57 58 58 58 55 59 59 62 74 89 78 73 76 80 76 65 62 60 58 55 53 49 49 50 54 62 67 72 76 81 83 84 83 82 82 82 84 87 92 100 111 119 118 111 100 89 89 86 85 79 73 81 69 59 50 46 49 52 60
5 7 5 4 4 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 15 18 20 19 21 25 29 32 33 32 32 36 44 52 51 52 56 61 65 65 61 59 60 62 63 60 58 53 49 51 54 58 63 66 67 63 62 61 61 60 60 58 58 57 60 68 84 92 81 72 70 70 72 67 62 61 61 59 59 56 53 51 56 65 66 71 80 87 86 87 87 87 91 97 104 106 109 115 121 118 110 100 91 86 79 79 81 81 67 58 51 48 45 41 49 58 64
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27 27 26 26 25 26 27 27 27 25 23 24 25 29 37 41 41 37 32 30 32 33 35 38 45 48 53 62 71 74 72 65 59 72 87 93 92 84 85 78 72 69 68 64 58 57 66 77 78 77 77 82 88 101 112 112 94 69 62 69 76 79 80 81 84 81 79 76 73 70 18 3 16 40 43 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 16 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 31 66 86 82 54 26 13 10 10 11 11 9 8 7 6 4 4 5 7 9 10 11 18 24 26 26 24 26 27 27 23 18 15 13 13 11 12 8 6 9 16 24 33 42 47
24 25 24 23 23 22 21 19 16 13 12 15 19 25 32 36 34 32 31 29 30 33 36 42 53 53 57 69 86 100 104 103 100 99 99 96 89 79 80 73 65 57 50 42 39 43 50 56 59 60 61 70 81 95 106 107 71 62 65 71 76 76 73 71 70 68 69 73 84 108 44 12 7 23 40 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 14 20 18 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 11 40 80 103 101 77 53 37 28 21 17 16 15 14 13 10 7 6 5 5 7 9 12 18 25 29 28 24 22 22 23 20 16 11 10 9 7 6 5 5 4 7 12 18 28 43 55
24 24 24 23 20 16 16 15 13 11 11 11 13 17 22 26 28 28 27 26 28 33 40 48 72 72 74 84 101 108 107 100 90 84 79 80 78 63 71 72 65 51 36 33 35 39 43 46 43 41 45 54 65 77 89 97 70 65 68 71 74 77 74 66 57 57 61 65 72 97 57 25 9 8 19 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 27 28 19 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 1 2 5 8 4 4 3 1 0 0 6 23 54 92 117 121 109 91 83 76 65 44 35 32 30 27 23 17 12 11 10 10 11 15 22 31 37 36 32 27 22 19 16 12 9 7 5 4 4 3 2 2 4 6 10 17 26 36 49
27 27 26 23 19 14 12 11 10 9 9 9 9 9 11 15 19 22 24 25 26 33 44 61 89 99 99 96 96 87 80 77 77 79 77 84 91 77 75 71 64 53 36 34 34 35 36 36 34 35 40 44 50 56 61 58 52 54 60 67 75 74 67 58 51 51 54 58 62 72 67 59 44 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 26 44 45 35 20 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 1 3 9 13 14 16 25 14 8 3 0 1 6 33 81 118 132 130 119 110 104 99 91 82 71 56 45 40 38 33 27 22 20 21 21 23 27 34 40 44 45 42 36 29 20 12 6 3 3 6 8 6 3 1 1 3 7 12 19 26 37 45
29 29 26 21 16 12 10 9 8 8 7 7 7 8 8 10 12 14 17 20 24 33 45 57 67 72 73 71 70 61 58 60 68 76 91 103 105 91 81 68 56 50 43 38 33 30 28 26 26 26 30 36 41 45 47 47 53 60 65 67 71 65 59 53 49 48 52 57 60 63 67 71 67 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 31 51 52 42 26 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 15 23 25 31 26 18 10 17 11 6 7 24 64 111 150 173 163 146 126 111 102 95 87 76 62 50 42 37 35 35 35 33 33 34 34 36 39 43 47 52 62 75 79 65 45 27 12 5 2 2 6 5 2 0 2 6 10 16 21 23 29 34 37
30 29 23 16 11 8 7 6 5 5 4 5 6 8 11 16 20 24 28 32 35 39 42 39 37 40 40 38 39 41 44 48 52 53 59 61 58 64 70 61 47 38 34 30 26 25 23 22 23 25 29 32 36 39 40 44 51 58 64 65 61 56 51 48 46 48 52 56 58 58 61 64 61 28 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 25 38 38 27 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 22 27 27 26 25 18 14 10 6 1 4 3 7 23 76 137 178 194 185 158 136 121 110 101 91 79 63 48 35 27 23 26 30 35 40 44 52 58 62 65 67 70 76 87 107 122 106 70 35 14 4 1 1 1 1 1 2 8 18 26 31 32 27 27 30 37
29 23 16 11 8 5 3 2 3 5 8 7 10 16 24 32 38 41 44 48 37 30 25 20 15 16 16 16 18 21 24 27 30 30 31 31 32 36 37 36 34 30 24 19 18 22 20 20 20 22 25 27 33 37 37 41 48 56 62 61 55 49 44 43 44 49 53 53 51 51 51 50 42 23 8 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 9 6 1 0 0 0 0 0 0 1 2 4 5 6 6 5 4 4 5 6 6 5 11 21 34 48 54 41 20 10 5 2 1 2 4 2 3 16 54 115 154 170 170 160 147 136 128 122 117 109 95 77 59 43 31 26 33 43 57 71 82 92 98 102 105 102 102 105 110 117 111 97 80 44 16 2 0 0 0 1 6 14 23 31 37 38 32 23 19 21 28
25 17 12 9 6 2 2 3 6 11 16 17 34 53 61 56 45 37 33 32 22 15 12 9 5 5 6 7 7 8 9 13 17 20 22 25 27 27 26 23 20 16 13 10 8 8 11 13 16 19 25 29 32 34 36 40 47 51 51 48 43 39 37 37 42 46 47 45 40 40 37 29 17 8 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 6 15 22 29 32 32 28 26 25 24 24 29 33 34 30 26 21 11 4 1 6 16 27 37 47 42 31 28 49 92 121 133 134 136 144 146 144 143 143 145 142 130 115 97 80 67 64 72 84 100 116 127 134 139 142 143 135 127 121 115 112 109 100 81 48 24 12 10 5 4 8 18 29 36 38 36 32 26 21 18 20 22
19 14 10 8 5 4 7 10 13 15 14 22 36 49 56 55 43 30 21 17 11 6 2 2 3 4 5 4 4 5 6 8 13 14 15 17 20 18 14 9 5 4 3 2 1 2 3 6 9 14 19 22 25 28 31 36 40 42 39 35 31 29 30 33 39 42 41 37 35 32 25 16 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 3 15 34 38 36 37 44 52 52 47 38 28 29 23 13 4 1 1 4 14 31 55 87 115 132 135 127 121 125 148 156 145 126 112 120 132 141 147 154 162 171 178 179 171 156 137 123 120 125 131 133 141 148 158 167 173 171 158 134 106 92 82 79 83 75 51 36 34 27 21 20 25 33 37 37 34 30 25 21 18 16 18 21
15 12 10 9 8 7 8 9 11 13 9 14 19 25 31 32 26 20 14 13 10 7 3 1 6 8 7 4 4 4 4 5 6 7 9 12 13 9 5 2 0 0 0 0 0 0 0 1 3 6 11 15 18 21 26 30 31 31 28 25 22 22 24 29 34 36 35 29 27 22 15 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 1 2 3 5 17 34 50 57 55 52 46 26 19 11 4 1 8 23 52 95 147 177 201 217 232 263 296 317 306 286 252 209 164 141 142 145 147 145 155 170 187 201 209 208 194 173 158 145 133 123 123 133 146 158 169 186 187 166 124 91 68 59 64 71 63 53 47 49 45 44 46 44 43 41 37 30 27 25 21 16 14 17 23
19 24 24 23 19 13 9 8 7 7 6 7 8 10 11 9 9 10 11 13 13 9 6 9 13 13 10 6 11 8 5 3 3 3 4 5 5 2 1 0 0 0 0 0 0 0 0 0 0 1 4 7 10 14 17 19 19 19 16 13 11 12 16 22 27 27 23 18 15 11 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 1 3 11 36 64 83 86 86 86 84 69 61 58 53 38 74 114 157 207 261 271 256 238 247 280 323 363 368 352 325 290 258 234 207 173 139 131 156 190 216 219 213 196 177 161 151 136 120 108 112 121 130 140 154 177 181 159 109 76 61 61 70 82 79 72 72 75 71 66 62 57 55 51 43 34 31 29 25 18 19 23 29
27 34 30 23 16 10 8 8 7 6 6 6 6 6 6 5 6 8 9 9 8 8 8 13 15 15 11 5 7 5 3 2 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 4 5 7 8 7 7 6 6 9 13 14 12 8 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 25 54 88 117 131 130 131 136 146 136 132 145 175 202 217 227 235 245 253 235 208 193 201 238 272 277 294 317 322 316 316 291 244 182 123 151 200 242 256 232 203 175 156 146 139 127 114 110 114 123 134 148 171 184 186 179 129 93 72 65 65 86 101 105 102 94 84 74 68 65 62 56 44 36 33 29 24 23 25 31 37
19 20 19 18 16 15 14 14 12 9 6 5 5 5 4 3 3 4 5 5 5 8 12 10 7 7 7 3 2 1 1 0 0 0 2 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 3 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 4 14 55 96 128 147 144 134 123 113 107 109 121 137 152 169 186 197 198 182 176 173 177 194 198 209 230 250 283 285 278 290 282 251 215 194 173 203 230 235 218 192 172 161 157 157 149 134 120 119 132 146 159 182 208 220 214 205 163 122 92 83 80 95 112 114 106 91 77 74 70 61 52 46 40 34 30 28 24 26 31 37 41
16 19 20 19 18 18 24 22 18 14 10 6 4 4 4 3 2 1 1 4 5 8 13 17 17 10 2 1 0 0 1 3 2 3 6 10 12 9 5 1 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 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 4 15 47 89 122 139 139 122 108 96 89 88 92 98 105 113 125 134 145 162 162 164 170 182 229 227 207 205 218 231 232 224 225 213 194 173 155 177 188 179 148 127 126 134 148 157 154 145 135 129 122 119 123 141 177 215 235 210 191 171 146 114 112 108 105 104 89 82 79 80 80 72 62 55 56 50 39 30 27 26 32 39 45 45
20 20 21 23 23 19 22 21 20 18 15 10 7 6 5 3 1 0 0 4 5 8 13 20 21 16 9 5 3 2 4 8 7 9 13 16 18 15 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 18 46 89 119 134 134 120 106 96 92 91 93 95 97 99 103 112 125 139 163 179 190 197 208 207 202 200 200 195 194 194 190 182 178 172 159 144 135 131 130 120 113 115 126 146 159 161 158 152 146 135 120 111 129 176 216 221 193 172 162 161 156 151 138 121 118 91 74 70 74 73 66 61 64 65 60 52 43 36 36 42 49 50 49
23 22 23 24 23 19 20 21 20 19 18 15 12 10 7 4 2 2 1 3 4 6 11 16 16 16 17 16 13 8 3 3 6 10 16 22 21 17 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 47 86 112 126 129 125 123 118 109 98 97 98 97 94 91 94 104 119 133 153 174 191 198 202 202 204 208 199 191 186 184 180 169 164 161 149 136 129 129 132 123 117 118 131 153 167 174 177 176 174 161 139 124 133 160 189 197 183 163 149 158 182 182 157 108 99 84 72 62 66 64 60 59 62 59 55 53 48 45 45 47 51 51 52
25 23 19 18 18 20 23 24 23 20 17 16 14 12 9 6 4 2 2 1 1 2 3 5 9 14 20 24 20 11 3 0 1 3 6 9 7 9 9 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 18 43 73 97 107 111 112 112 115 114 109 100 100 99 97 94 93 94 102 120 138 157 172 179 179 180 183 188 200 198 192 184 176 163 153 149 149 144 133 126 127 127 124 119 117 133 154 172 186 193 192 192 187 173 150 147 161 186 194 185 169 156 163 169 160 137 107 103 95 78 56 55 54 55 60 59 56 54 56 56 53 50 46 48 50 52
26 23 18 18 20 24 24 20 17 15 13 11 10 9 8 7 4 1 0 0 0 0 0 0 4 10 17 23 20 12 4 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 34 65 88 96 90 86 95 99 104 110 116 110 105 102 99 97 101 104 110 124 141 155 163 165 167 170 172 172 176 175 172 168 167 155 145 139 138 140 135 128 129 130 130 128 125 139 159 178 190 194 193 191 190 195 174 161 164 176 186 183 173 167 166 160 149 137 118 97 78 66 55 49 48 50 67 70 69 70 65 60 56 52 48 46 46 44
24 23 19 18 18 18 15 12 10 9 8 6 6 6 6 5 3 1 0 0 0 0 0 1 3 7 12 20 21 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 48 73 87 86 84 87 95 98 103 111 122 119 116 112 107 102 103 107 116 127 139 148 154 159 163 167 170 168 166 165 164 162 165 157 146 135 131 133 133 132 133 136 140 143 140 147 158 168 166 165 158 150 146 163 164 162 166 168 170 167 161 159 161 165 169 155 124 89 59 55 51 48 46 45 59 72 81 78 63 58 58 53 49 47 47 46
25 29 29 26 21 15 11 10 9 8 7 6 6 5 4 2 1 1 1 0 0 0 2 3 4 6 10 17 23 25 20 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 34 59 80 82 75 70 72 77 87 96 103 113 119 124 126 118 107 102 103 107 114 124 136 145 150 154 157 160 163 166 167 164 160 161 158 150 137 136 136 136 138 142 150 159 162 157 152 145 138 139 139 132 115 116 129 144 159 169 169 161 148 138 137 143 159 182 180 144 91 57 48 46 47 48 51 60 69 74 70 67 63 60 53 49 47 47 47
24 27 26 23 19 15 13 10 8 7 6 5 3 1 1 0 1 1 1 2 3 5 6 7 7 8 10 14 22 29 32 25 14 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 20 43 66 83 75 67 62 61 64 74 84 92 99 107 115 119 113 106 101 101 108 116 123 130 138 146 149 150 152 157 163 163 154 149 152 157 160 149 146 144 143 144 154 167 177 177 167 152 137 129 134 140 142 139 142 149 158 171 165 157 148 134 123 120 125 138 160 170 144 88 67 58 58 66 68 64 57 55 58 65 67 64 61 55 50 48 50 50
23 22 20 16 13 11 8 7 6 6 5 4 3 1 0 1 1 1 2 4 6 7 8 8 8 9 10 14 21 28 36 39 32 22 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 20 43 64 78 75 66 60 58 59 59 68 79 85 89 94 98 99 99 98 97 98 109 116 122 129 137 146 151 152 152 152 152 151 148 150 156 165 175 167 159 153 154 150 158 169 171 161 152 142 130 126 132 147 167 188 195 194 185 188 170 149 133 126 118 113 111 117 123 111 88 84 101 112 111 98 79 66 64 65 66 62 57 56 61 61 58 57 54 51
26 24 16 9 4 1 0 1 2 3 3 3 3 2 2 3 3 3 4 5 6 7 7 7 7 8 9 10 13 19 27 37 37 35 31 28 17 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 2 9 23 42 61 74 79 79 71 66 63 63 65 64 67 73 78 82 85 86 88 89 89 90 95 106 116 125 134 139 146 153 158 154 148 142 140 145 156 169 178 182 170 155 146 164 161 157 158 158 155 152 147 137 135 144 164 188 207 214 207 187 179 164 144 124 115 108 102 100 102 100 95 93 126 169 197 181 141 110 90 84 70 59 51 49 59 66 68 68 63 57 53
23 19 9 3 1 0 0 0 0 1 2 2 2 1 1 2 2 3 4 4 5 6 7 7 8 8 8 8 9 12 17 23 30 36 41 42 32 21 12 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 12 34 62 81 77 70 64 66 66 65 65 64 69 70 71 72 75 75 74 75 77 79 82 85 87 92 100 112 123 132 143 155 161 162 156 146 141 150 166 183 183 170 148 127 122 152 170 174 161 139 129 128 133 142 146 154 170 184 194 196 191 182 173 159 139 120 108 100 96 93 94 93 92 107 131 153 164 159 140 112 80 69 59 53 52 56 67 75 80 81 77 71 65
8 4 1 0 0 0 0 1 2 3 2 1 1 1 0 1 1 2 2 2 4 5 5 6 7 8 8 8 8 9 10 12 16 21 27 33 34 33 30 23 13 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 1 24 53 77 78 63 52 52 57 61 63 63 63 67 70 72 75 72 70 71 73 74 76 76 74 71 72 79 92 108 125 142 155 155 158 158 154 153 160 171 182 177 163 142 116 123 142 155 152 128 115 109 110 118 137 152 160 168 171 171 169 166 164 159 148 128 114 105 99 94 91 89 89 91 99 109 121 132 137 131 112 81 67 59 59 70 76 83 89 95 93 88 80 72
3 0 0 0 0 0 0 0 1 3 2 1 1 1 0 0 0 1 1 2 2 3 4 5 5 6 8 8 8 8 8 9 10 11 12 17 23 31 38 41 36 27 16 8 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 4 26 56 77 63 53 49 49 52 54 57 59 60 62 65 68 72 71 71 72 75 78 79 78 75 73 75 80 90 106 124 141 153 150 147 148 148 150 156 161 163 160 159 154 133 133 134 132 125 118 110 103 97 100 116 135 151 158 153 145 141 138 135 130 124 112 103 97 90 88 85 81 80 83 90 100 110 122 129 125 104 85 73 68 71 92 102 105 104 108 107 100 89 77
2 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 2 4 5 6 8 8 8 8 9 9 9 8 7 8 12 18 26 37 42 43 40 30 20 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 29 39 38 25 12 19 40 64 68 53 44 41 42 44 47 50 54 56 58 59 64 65 68 73 79 79 79 80 83 85 86 88 91 97 107 121 137 139 136 131 126 123 129 135 138 139 138 138 140 135 130 125 122 115 111 107 100 93 93 101 113 124 129 127 120 115 109 104 101 97 92 86 79 71 71 70 69 69 72 79 91 105 116 126 129 112 98 88 85 93 111 122 123 116 116 113 103 92 84
4 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 4 5 6 6 6 7 7 7 7 7 7 7 7 8 9 17 26 35 44 51 48 43 38 31 20 10 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 7 27 64 100 113 105 80 69 74 81 79 58 47 41 39 37 38 40 43 46 49 52 54 56 59 62 66 70 72 75 78 83 85 88 91 94 99 106 113 125 125 121 114 106 103 107 114 119 119 117 113 109 105 105 109 113 108 105 101 96 93 94 97 101 106 106 102 96 88 82 78 75 73 70 66 63 55 54 56 60 62 66 73 86 101 115 127 139 134 122 108 108 123 137 142 135 129 125 121 116 109 99
4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 1 4 6 7 6 5 5 5 5 7 10 15 22 28 39 50 58 58 51 38 25 15 8 4 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 11 32 60 85 86 84 82 83 80 74 67 57 51 46 41 38 37 36 35 34 34 37 41 44 47 50 54 58 64 68 72 77 80 81 85 91 98 105 108 108 109 109 109 108 102 100 102 105 108 106 102 99 97 94 93 95 98 97 94 90 93 94 93 90 88 87 84 77 69 61 56 55 54 52 49 45 43 41 43 47 55 60 66 74 82 95 109 124 137 145 139 119 127 142 151 151 142 136 135 141 142 133 116
5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 5 4 4 4 4 5 6 7 9 11 18 30 44 57 60 56 49 41 34 25 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 1 28 59 84 84 72 64 61 64 69 71 68 59 52 46 42 39 37 35 33 29 25 24 25 29 34 39 45 49 57 64 70 77 78 80 84 90 98 105 107 99 95 95 99 105 104 103 102 103 105 104 102 101 103 99 95 97 97 93 87 78 80 79 76 71 67 63 58 52 45 40 38 38 38 39 37 32 30 31 34 40 47 56 67 80 90 99 109 118 131 138 134 123 130 143 159 160 145 138 142 158 155 142 121
5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 7 6 4 3 3 3 3 3 4 5 6 6 9 13 19 33 43 50 53 55 58 55 41 24 9 0 0 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 32 64 90 76 66 60 58 62 67 68 64 57 52 46 42 39 37 34 31 26 21 17 15 17 21 27 33 38 45 52 60 70 75 79 83 85 87 87 87 84 85 89 97 103 104 103 103 102 104 107 108 108 108 105 100 99 97 92 84 72 65 60 57 52 48 43 39 36 33 31 31 30 29 27 24 23 23 25 28 35 43 53 66 81 91 99 105 110 121 126 114 99 99 113 138 127 116 119 157 159 147 127 109
5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 6 6 5 4 3 3 3 3 3 3 4 5 5 6 7 7 14 21 29 37 44 53 59 52 34 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 39 66 85 72 64 60 59 61 63 63 59 53 48 43 38 36 34 31 28 22 17 14 13 13 15 19 23 27 33 40 47 58 66 72 76 77 77 75 74 74 78 85 94 97 99 99 98 97 100 107 113 112 109 104 99 89 83 77 69 62 55 50 47 41 37 33 30 28 28 30 32 28 24 21 17 15 15 19 24 32 42 53 66 79 91 102 111 112 114 115 104 91 86 91 94 85 95 138 158 135 100 79 97
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 3 5 6 6 5 5 4 3 3 2 2 2 2 3 3 4 4 4 6 8 11 15 20 26 35 45 47 37 22 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 20 53 84 76 71 68 66 63 62 60 57 53 48 43 38 34 32 30 28 24 19 15 11 9 9 10 13 16 19 24 30 37 47 55 62 68 69 67 65 62 63 67 75 84 88 90 87 82 87 95 104 109 105 100 93 81 64 54 55 60 62 60 54 46 39 33 27 25 24 24 25 25 23 20 17 12 8 8 12 19 30 43 58 72 83 93 102 111 113 109 103 90 76 69 76 73 71 81 119 96 61 47 72 98
0 0 0 0 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 5 4 3 2 1 1 1 0 0 1 1 1 1 1 4 7 9 11 13 16 20 26 32 35 33 25 16 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 22 42 66 82 84 76 72 68 64 58 55 52 49 45 40 35 31 28 26 24 22 19 15 12 8 6 5 6 8 10 12 16 22 29 37 45 53 58 60 58 53 48 50 57 68 76 83 85 80 80 84 89 94 98 95 84 67 60 48 39 48 61 63 58 49 40 33 29 25 24 23 23 22 20 17 13 9 6 4 2 5 13 26 44 62 77 89 98 100 101 99 95 86 73 64 61 66 74 84 94 103 99 93 89 121 120
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 1 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 9 10 12 13 15 17 17 13 8 3 0 0 0 0 0 0 1 3 9 17 10 1 3 5 9 15 25 36 42 50 64 78 86 87 80 76 71 66 60 54 50 46 42 37 33 29 24 21 19 17 16 13 11 8 5 4 3 3 4 5 8 11 15 21 28 35 43 49 51 49 42 40 44 52 62 71 78 83 82 81 81 81 77 80 79 70 48 52 55 48 44 44 42 36 31 27 25 23 23 22 21 18 15 12 9 6 4 3 1 0 4 13 26 41 60 77 91 100 95 87 77 67 64 63 62 64 69 77 87 98 107 114 124 136 126 104
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 2 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 7 6 6 5 2 1 0 0 0 0 0 0 0 0 2 7 22 46 47 38 36 41 49 61 75 84 91 94 91 85 81 78 76 73 68 63 59 53 47 41 38 34 30 25 20 16 13 11 9 7 5 4 3 1 1 1 2 2 4 7 10 14 18 23 31 37 42 44 37 36 41 50 58 66 73 78 81 80 78 76 70 68 66 65 55 51 48 42 39 38 37 33 28 24 20 18 16 14 13 11 8 6 4 3 1 1 0 0 2 10 25 41 58 74 88 91 85 76 66 59 59 63 68 72 75 76 79 82 85 89 98 99 92 82
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 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 7 5 3 1 0 0 0 0 0 0 0 0 0 0 3 12 32 57 74 85 101 113 113 102 90 83 80 79 74 71 70 70 70 69 66 63 59 54 47 40 35 31 27 21 16 11 8 6 4 2 1 1 0 0 0 0 0 1 2 4 6 8 12 15 19 25 33 42 35 34 39 52 57 61 65 72 76 76 73 70 65 61 56 55 50 45 41 39 40 40 39 35 30 23 16 12 9 8 8 5 3 2 2 1 0 0 0 0 2 8 24 40 56 69 75 74 71 68 66 66 69 75 80 79 77 74 71 68 66 67 72 75 76 73
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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 1 2 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 20 31 39 44 47 49 48 46 44 43 41 39 38 38 37 37 37 38 37 34 29 24 19 13 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 13 17 20 24 28 32 36 38 39 40 40 39 39 39 38 37 32 27 23 19 15 15 14 11 7 5 3 1 0 0 0 0 0 0 0 0 0 0 1 3 6 12 20 30 43 60 80 88 90 88 82 76 71 67 64 61 59 57 57 57 57 55 53 49 46
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