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 11 11 10 9 8 8 7 7 7 6 6 6 6 7 8 8 8 7 6 6 6 6 6 5 5 5 5 6 6 6 6 5 4 5 6 7 8 8 9 9 9 8 7 7 7 7 7 8 8 9 9 9 8 8 8 9 11 12 11 10 9 7 6 6 6 6 6 7 7 7 7 7 7 6 6 7 8 8 9 9 9 8 8 7 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 6 6 7 7 7 6 5 5 5 5 6 7 8 7 7 7 7 7 8 9 10 9 9 9 10 9 8 8 8 nan
nan 12 11 10 8 7 7 6 6 6 6 6 6 7 7 8 9 8 7 7 6 6 6 6 6 5 6 6 7 7 7 6 4 4 5 6 7 7 8 8 8 9 8 7 7 7 7 7 8 8 9 9 8 8 7 7 9 10 11 11 10 9 8 7 6 6 6 6 6 7 7 6 7 7 6 6 7 7 8 8 8 8 8 8 7 8 8 8 9 9 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 7 8 8 8 7 7 6 7 8 9 9 8 8 8 9 9 9 8 8 nan
nan 12 11 10 8 7 6 6 6 6 6 6 6 7 8 9 9 8 7 7 7 7 7 6 6 6 6 6 6 7 7 6 4 5 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 9 10 11 10 9 8 7 6 6 6 6 6 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 9 9 8 8 7 7 8 9 9 9 9 9 9 9 10 10 10 nan
nan 12 11 9 8 7 7 7 7 7 7 7 7 7 8 9 10 9 7 7 7 7 7 6 6 6 6 6 6 7 8 6 5 5 7 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 9 10 10 10 9 8 7 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 10 10 9 9 9 9 9 8 7 8 8 9 10 10 10 9 10 10 10 11 11 nan
nan 11 10 9 8 8 8 8 8 7 7 7 7 8 9 10 10 9 7 7 7 7 7 6 6 6 6 6 6 8 8 7 6 6 7 8 8 7 7 8 8 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 7 6 6 5 5 5 5 5 5 5 6 6 7 7 6 6 7 7 7 8 8 9 10 10 9 9 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 7 7 8 9 10 11 10 10 10 11 11 11 12 nan
nan 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 6 6 6 6 5 6 7 8 7 6 6 7 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 11 11 10 9 8 7 7 6 5 5 5 5 4 4 4 5 6 6 7 7 6 7 7 7 8 9 9 10 9 9 8 8 8 8 8 8 7 7 8 9 9 9 8 8 9 10 11 10 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 8 9 10 11 10 10 10 10 11 12 12 nan
nan 9 9 10 10 10 10 9 8 7 8 8 8 8 8 8 8 8 8 7 7 6 5 4 5 6 6 5 6 6 7 6 6 7 7 7 7 7 7 8 9 9 8 7 6 6 7 7 7 7 7 7 8 8 7 7 7 7 8 9 10 11 10 9 8 8 7 7 6 6 5 5 4 4 4 5 5 6 7 7 7 7 7 8 9 10 10 10 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 11 12 13 12 11 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 10 11 11 nan
nan 8 9 9 10 10 10 9 8 8 7 8 8 7 8 8 8 8 7 7 7 6 5 4 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 10 11 11 10 9 9 8 8 7 7 6 5 5 5 5 5 5 5 6 6 7 7 8 10 12 12 11 9 9 9 9 9 9 9 10 10 9 9 10 11 12 12 12 13 13 12 12 12 12 11 10 9 8 7 7 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 9 10 nan
nan 8 9 9 9 10 10 10 9 8 8 8 7 7 7 6 6 7 7 6 6 7 6 5 6 6 6 6 6 6 7 7 7 7 7 8 8 9 8 7 8 8 8 7 7 7 7 7 8 9 10 9 9 9 9 8 7 7 8 9 10 11 11 10 10 10 9 8 8 7 7 6 5 5 5 5 5 5 6 6 7 8 10 11 13 13 12 11 11 11 11 11 11 11 12 12 12 12 12 13 14 15 17 16 14 12 10 10 11 11 11 11 9 8 7 7 8 8 8 8 8 9 8 9 9 9 9 9 8 8 7 8 8 9 nan
nan 8 8 8 8 9 9 10 9 9 9 8 8 7 6 5 6 8 8 6 7 8 7 6 5 6 7 7 6 5 5 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 11 11 11 11 11 11 10 10 9 10 11 12 12 11 11 11 11 11 10 9 8 8 7 6 5 5 5 5 6 8 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 13 15 17 16 14 12 11 10 11 12 12 12 10 8 7 7 8 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 nan
nan 8 8 8 8 8 9 9 9 9 9 9 8 6 5 6 9 11 9 8 8 9 8 6 5 6 7 7 6 5 6 7 7 6 5 5 6 6 6 7 8 8 8 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 13 14 13 12 11 11 12 12 11 10 9 9 8 7 6 6 5 6 7 9 11 12 12 11 10 9 9 10 12 12 12 12 11 12 12 11 11 11 11 11 11 11 13 13 12 12 12 11 11 12 12 12 12 11 9 8 9 8 7 7 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 9 9 9 9 10 10 8 6 6 8 12 13 11 10 10 10 9 7 6 7 8 7 6 6 7 7 7 6 6 6 7 6 6 6 8 8 8 9 10 10 10 10 11 12 12 11 11 11 11 12 12 12 13 14 15 14 13 13 13 14 14 13 12 11 10 9 8 7 6 5 5 6 8 9 9 9 9 9 8 8 10 11 11 11 10 10 11 10 9 9 9 9 10 9 9 10 10 11 12 12 12 12 11 11 11 12 11 10 10 9 8 8 8 8 8 7 7 6 7 8 8 8 7 7 7 7 7 7 nan
nan 7 7 8 8 8 9 9 9 9 10 10 9 7 7 11 14 14 12 11 10 10 9 8 7 6 6 6 6 7 7 6 5 6 7 8 7 7 6 5 6 7 8 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 12 13 13 13 13 14 16 16 16 16 15 14 12 11 10 8 7 6 5 5 6 8 8 9 9 8 8 9 11 12 11 10 10 10 9 9 8 7 8 8 9 9 9 10 11 12 12 13 13 13 12 11 11 11 12 12 11 9 8 9 9 9 8 7 6 6 6 6 7 7 7 7 6 6 6 7 nan
nan 7 7 7 7 8 9 10 9 9 9 10 10 9 10 12 15 15 13 11 11 10 10 8 6 5 5 5 6 6 6 5 5 6 7 8 8 7 6 5 5 6 7 8 9 9 8 8 9 10 10 9 9 9 9 9 9 10 10 11 11 11 12 13 15 16 16 17 17 17 16 15 13 12 10 8 7 7 8 9 10 10 10 9 9 10 11 11 11 10 9 9 8 8 7 7 8 8 9 9 10 12 12 11 11 11 12 13 13 11 10 11 12 13 12 10 9 9 9 8 7 6 5 5 5 6 6 6 7 7 7 6 6 6 nan
nan 6 6 6 7 7 8 9 10 9 10 11 11 11 12 14 15 14 12 11 10 9 9 8 7 5 5 5 5 6 6 6 6 6 7 7 7 7 6 5 5 6 7 8 8 7 7 7 7 8 8 8 8 8 8 7 8 9 9 10 9 10 11 12 12 13 14 15 16 17 17 17 17 15 13 11 9 9 9 10 10 10 10 10 9 10 10 10 10 9 9 8 8 8 7 8 8 9 9 10 11 12 11 9 9 8 9 10 11 10 9 9 10 12 12 11 10 9 7 6 5 5 5 5 5 6 7 7 7 8 8 7 7 7 nan
nan 5 6 6 7 7 8 10 11 11 11 12 12 13 14 15 15 14 11 9 8 8 8 8 8 7 6 5 5 6 7 7 7 6 7 7 7 6 5 4 4 5 6 7 7 6 6 6 6 7 7 8 8 8 7 6 7 9 10 9 9 9 10 11 11 11 12 13 13 14 16 17 17 16 15 13 11 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 8 8 8 9 10 10 11 11 10 9 8 7 6 5 6 7 7 8 8 8 9 10 10 10 9 8 7 6 5 5 5 5 5 6 7 7 8 8 8 8 7 7 nan
nan 4 5 7 8 8 9 11 12 13 14 13 13 14 14 15 15 13 10 9 8 8 9 9 9 8 6 6 6 7 7 7 7 6 7 7 7 6 4 3 4 6 7 7 7 6 6 5 6 6 7 7 8 8 7 7 8 9 10 10 9 9 10 10 11 11 11 11 11 12 14 15 16 15 14 13 11 11 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 9 10 11 13 13 12 11 9 8 6 5 4 4 5 5 5 6 8 8 8 8 8 9 8 8 7 6 5 4 3 3 4 5 6 6 7 8 8 8 7 6 nan
nan 3 6 8 9 10 11 12 13 15 15 15 14 14 14 14 14 13 10 10 10 11 11 11 10 9 7 7 7 7 8 8 7 7 7 8 7 6 5 5 6 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 13 14 13 13 12 11 10 10 9 8 8 8 8 8 9 10 10 10 10 10 11 11 12 13 14 13 13 12 10 9 8 7 6 6 6 7 6 5 6 6 7 7 7 8 8 8 7 6 4 3 2 2 2 3 3 4 5 6 7 8 8 7 6 nan
nan 5 7 9 11 11 12 13 14 15 15 14 14 13 13 13 14 12 11 11 12 12 12 12 10 9 9 8 8 7 8 8 8 8 8 9 8 7 7 7 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 11 13 14 14 13 12 11 11 10 10 9 8 8 8 8 7 6 6 5 5 5 6 7 8 7 6 4 3 2 2 3 3 4 4 4 4 4 5 6 7 7 7 nan
nan 8 10 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 11 12 12 12 12 12 11 10 10 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 9 10 10 10 10 10 10 11 11 12 12 12 13 13 12 11 11 11 10 10 10 9 9 8 8 9 9 10 10 10 10 9 10 11 13 13 12 11 11 11 11 10 10 9 9 8 8 8 8 7 6 5 5 5 7 8 8 6 4 3 2 2 3 4 5 6 6 4 3 3 4 4 5 6 7 nan
nan 11 11 11 12 12 12 11 10 10 9 10 11 12 13 13 12 12 11 11 10 11 11 12 11 11 10 9 9 9 10 12 12 12 13 13 14 13 12 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 8 8 8 9 9 10 10 10 10 9 9 10 11 12 11 11 11 10 10 9 9 8 7 7 8 8 8 7 7 7 7 8 8 9 7 5 3 3 3 3 5 7 8 8 7 5 4 3 3 3 4 5 6 nan
nan 11 11 11 11 11 10 9 9 9 8 8 10 11 11 12 11 11 10 10 10 10 11 12 11 10 10 10 10 10 11 12 13 14 15 16 16 16 14 11 10 9 8 8 9 10 10 9 9 9 9 9 8 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 10 9 9 8 8 8 8 9 10 11 11 10 8 8 9 10 10 11 10 9 9 9 8 8 8 8 9 9 8 7 7 7 8 8 9 8 6 4 3 4 5 6 7 8 8 7 6 5 5 5 5 5 4 4 5 nan
nan 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 11 11 11 10 10 11 11 12 12 13 14 16 17 17 17 16 15 13 12 10 9 9 9 10 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 10 10 10 10 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 8 8 9 10 11 12 10 8 7 7 7 8 9 9 9 9 8 8 9 9 10 11 10 9 7 7 8 8 8 7 6 4 3 3 6 7 8 8 7 6 5 5 5 6 6 7 6 5 5 5 nan
nan 11 11 12 12 11 11 10 10 10 10 9 9 8 8 8 8 8 10 12 11 10 10 10 11 11 11 12 13 13 13 14 16 17 17 17 16 15 14 13 13 12 11 10 10 10 10 10 9 8 9 9 9 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 11 10 9 8 7 7 7 7 8 8 8 8 9 9 10 11 11 10 8 7 7 8 8 8 7 5 3 3 4 7 9 9 8 7 5 4 4 5 6 7 7 7 6 6 5 nan
nan 11 12 13 13 12 12 11 11 11 10 10 9 8 8 7 7 7 8 10 10 10 9 10 11 12 12 12 13 13 13 12 13 14 14 13 12 11 10 10 11 11 11 10 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 9 9 9 10 10 9 10 10 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 8 8 7 7 7 7 8 8 9 10 11 10 9 8 7 7 8 8 7 7 6 5 4 4 5 8 9 10 9 8 6 5 4 5 6 7 7 7 7 6 6 nan
nan 11 12 13 13 12 12 12 11 11 11 10 10 9 9 7 6 6 6 7 8 9 9 10 12 14 13 11 10 9 8 7 8 8 8 8 8 7 6 5 6 7 8 7 6 5 5 6 6 7 7 7 6 6 6 6 6 5 6 6 7 8 9 9 10 10 9 9 9 10 10 11 11 10 9 9 9 10 10 10 10 10 10 11 10 10 9 8 8 9 9 10 9 9 8 8 7 7 7 8 9 9 10 10 9 8 8 8 9 8 7 6 6 6 5 5 5 6 8 9 10 10 10 9 7 7 7 8 8 7 7 7 7 6 nan
nan 11 11 12 12 12 12 12 12 12 12 11 11 10 9 8 7 6 6 6 7 9 11 12 14 14 13 10 8 6 5 4 5 6 6 5 5 5 4 4 4 6 6 6 6 5 5 5 6 6 7 6 6 7 7 6 6 6 6 7 7 8 9 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 8 9 9 9 9 9 8 7 8 9 10 10 10 10 9 9 8 8 9 8 7 7 7 7 7 7 6 6 7 7 8 9 10 11 11 11 10 10 9 9 8 7 6 6 7 nan
nan 11 11 12 12 12 12 13 13 14 13 13 12 11 10 9 8 8 7 7 9 10 12 13 13 14 12 10 8 7 7 7 9 10 9 8 7 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 9 9 9 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 8 9 9 9 9 9 8 9 10 11 11 11 10 9 8 8 8 8 8 7 7 8 9 9 8 7 6 6 6 7 8 10 11 12 12 12 12 12 11 9 7 7 7 8 nan
nan 11 11 12 12 12 13 14 14 15 15 15 14 12 11 10 10 10 11 12 12 12 11 12 12 12 11 10 9 9 9 10 12 14 13 12 11 9 8 8 9 9 9 10 10 10 9 8 8 8 8 9 10 9 8 7 7 7 8 8 8 8 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 9 9 10 10 10 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 10 11 10 9 7 6 6 6 7 8 9 10 11 11 12 13 14 13 11 10 10 10 11 nan
nan 10 11 11 11 12 13 14 14 15 16 16 15 14 12 12 11 12 12 13 13 13 12 12 11 10 8 7 7 7 7 8 10 12 13 12 11 10 9 10 11 10 10 10 10 11 11 9 8 8 10 12 13 12 10 9 8 8 7 7 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 10 10 9 10 10 10 10 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 8 7 7 7 7 7 7 8 9 9 10 10 12 13 13 13 13 13 14 14 nan
nan 10 10 11 11 11 12 13 15 16 17 18 17 15 14 13 12 12 11 11 12 13 13 12 11 8 5 4 4 4 4 5 7 8 9 9 9 10 10 11 11 10 8 8 9 11 11 9 8 9 11 13 13 13 12 11 10 9 8 6 5 5 6 7 8 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 10 11 11 10 10 10 10 11 11 11 10 10 10 10 10 9 9 8 7 7 7 8 8 9 10 11 12 12 11 9 8 8 7 7 8 8 8 7 7 7 8 8 8 9 9 10 11 12 13 14 15 16 17 nan
nan 10 10 10 11 11 12 13 15 17 18 19 18 16 15 14 13 11 10 10 11 12 12 11 9 6 4 3 3 3 4 5 5 5 5 6 6 7 8 8 8 7 6 7 8 9 8 7 8 9 10 11 11 12 12 12 11 10 9 8 6 5 5 5 6 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 10 9 9 10 11 11 12 11 10 9 9 9 9 9 9 8 8 8 9 10 11 12 13 13 12 10 9 8 7 7 7 8 8 7 7 6 7 7 7 7 8 9 9 9 11 12 13 14 16 17 nan
nan 10 10 10 11 11 12 13 14 16 17 17 17 15 14 13 13 12 11 12 12 12 11 9 7 4 3 3 3 4 4 5 6 5 4 3 3 4 4 4 4 4 5 6 7 5 3 5 7 9 9 9 8 9 10 10 9 10 11 11 10 8 6 4 5 7 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 10 11 11 11 9 8 8 8 9 11 11 11 10 10 10 10 11 12 13 12 11 10 9 9 8 9 9 9 9 8 7 6 7 7 7 7 8 9 9 10 10 9 9 10 11 12 nan
nan 10 10 10 11 11 12 13 13 14 14 14 14 14 13 13 12 12 12 12 11 10 9 8 6 4 4 4 5 5 6 7 7 5 2 1 1 2 3 2 3 4 5 6 5 2 1 4 7 8 8 7 7 7 6 5 6 8 11 13 13 12 9 7 6 7 8 8 8 8 8 8 8 9 9 8 8 8 9 10 10 9 9 9 9 9 9 9 10 11 11 10 9 8 8 9 10 12 12 12 12 11 11 10 11 11 11 10 10 10 10 10 10 11 11 11 10 9 8 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 nan
nan 9 10 10 11 11 12 13 13 13 13 13 13 13 13 13 12 12 11 10 10 9 8 8 7 7 7 7 8 8 9 10 8 3 -0 -1 1 3 4 4 4 5 5 5 3 2 3 6 8 8 7 7 7 6 5 4 5 7 9 11 13 13 11 9 7 6 6 7 8 8 8 9 9 9 9 9 9 10 11 12 10 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 11 12 13 13 13 12 12 11 11 11 10 10 11 11 12 12 12 12 12 11 11 10 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 8 nan
nan 10 10 11 11 12 12 13 13 13 13 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 9 6 1 -0 1 3 5 5 4 4 5 4 4 4 4 6 8 8 8 8 7 6 6 6 6 6 7 8 9 10 10 8 7 6 4 3 5 6 8 9 10 10 9 9 9 10 12 14 13 11 10 9 9 8 8 9 9 10 11 11 11 10 10 10 10 11 12 12 12 12 13 13 13 12 12 12 12 12 13 14 14 13 12 11 10 10 10 10 10 10 10 10 9 8 8 8 7 7 8 8 9 9 9 nan
nan 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 4 2 3 4 6 7 8 8 7 6 6 6 6 7 7 7 8 9 9 8 7 7 6 6 6 7 8 9 8 6 4 4 5 3 2 3 5 7 8 9 10 9 9 9 10 12 14 14 12 10 9 9 8 8 9 9 10 11 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 14 13 11 10 9 10 10 10 10 10 9 9 9 8 8 8 8 8 7 6 7 7 8 nan
nan 12 12 12 12 13 13 14 14 13 13 12 12 12 11 10 9 9 9 9 8 8 8 7 7 6 6 6 7 8 8 7 6 7 8 9 10 11 11 11 11 11 10 10 9 9 7 7 7 8 8 8 8 7 7 7 7 8 10 10 8 6 4 5 6 4 3 3 4 5 5 6 7 8 8 9 10 12 14 13 12 11 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 13 13 13 13 12 12 11 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 7 6 6 6 7 nan
nan 12 12 12 12 12 13 13 14 13 13 12 12 11 11 10 9 9 9 9 8 8 7 7 6 6 6 7 8 9 10 10 11 12 13 13 13 13 12 13 13 14 14 13 13 11 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 8 7 7 7 6 6 6 5 4 3 3 3 4 7 9 10 12 13 13 12 11 10 9 9 10 10 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 12 13 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 10 8 8 8 8 nan
nan 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 9 9 8 8 9 9 9 10 11 11 12 13 15 15 15 14 14 14 13 13 14 15 15 16 16 14 13 12 12 11 10 9 8 9 9 9 9 10 10 11 11 10 10 9 7 7 8 7 6 5 4 3 2 3 6 8 10 11 12 12 12 11 10 10 10 10 11 11 12 12 11 10 9 8 7 7 8 9 8 8 8 8 8 9 10 10 10 9 8 8 9 11 13 14 14 14 14 13 13 13 13 12 11 11 11 11 12 12 11 11 11 10 10 10 nan
nan 11 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 12 12 11 11 10 10 10 11 11 12 12 12 13 13 15 16 16 16 15 15 15 15 15 15 15 17 18 19 17 16 16 16 15 13 11 10 10 9 8 8 9 9 10 11 11 12 10 8 8 8 7 7 6 6 4 3 4 5 7 9 10 10 9 9 9 9 9 9 10 10 11 12 13 13 12 11 10 9 8 9 9 9 9 9 9 9 8 9 9 9 8 7 7 9 11 12 13 13 13 13 12 12 12 13 13 12 11 10 10 11 11 11 11 11 11 11 11 nan
nan 11 11 11 12 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 14 15 15 15 15 15 15 15 15 15 15 16 17 17 15 14 14 15 14 13 11 9 8 7 6 6 7 8 9 10 12 12 11 10 8 7 7 7 7 7 6 5 5 5 7 8 9 8 7 7 7 7 8 8 8 9 10 11 11 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 9 7 6 8 9 10 10 10 10 10 10 9 10 11 12 12 11 10 9 9 10 10 10 10 10 11 11 nan
nan 10 11 11 12 12 12 12 13 13 13 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 14 14 14 14 13 12 11 12 13 14 13 12 11 11 10 10 9 8 6 5 4 4 5 6 7 9 11 13 13 12 11 9 7 7 7 7 7 6 6 6 6 8 9 9 9 8 7 7 7 7 7 7 7 7 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 11 9 8 8 8 9 9 10 9 8 7 7 7 9 11 11 11 10 9 9 9 10 10 10 10 10 10 nan
nan 10 11 11 12 12 12 12 13 13 13 12 12 11 10 9 9 9 9 9 10 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 11 9 9 9 10 11 11 9 8 8 7 7 6 5 4 3 3 4 6 7 9 11 13 15 15 14 12 9 8 7 7 7 7 7 7 7 8 9 11 11 10 8 7 7 8 8 8 8 6 5 6 7 8 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 12 11 10 10 9 9 9 9 10 10 9 8 6 6 7 9 10 10 9 9 9 9 9 9 10 10 10 10 nan
nan 11 11 12 12 13 13 13 12 12 12 12 11 10 10 9 9 9 9 10 11 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 8 7 6 5 5 5 5 4 5 5 7 9 10 12 13 15 16 16 15 12 9 8 7 7 7 8 8 8 8 9 11 12 12 11 10 8 7 8 9 10 10 9 7 6 7 8 8 9 9 8 8 9 10 10 10 10 9 8 8 8 9 9 10 10 10 10 9 8 8 9 10 10 10 8 7 7 8 8 9 9 9 8 8 9 9 9 9 9 9 nan
nan 11 12 12 13 13 13 13 12 12 12 11 11 10 9 9 9 9 10 11 12 12 12 11 10 10 9 8 9 9 10 10 10 9 10 10 10 11 13 13 12 10 8 7 6 7 7 6 6 7 8 8 8 8 9 10 11 12 12 13 14 14 13 11 9 8 7 7 7 8 8 8 8 9 10 12 13 13 13 12 11 9 9 9 10 11 11 10 8 8 8 9 9 9 8 8 8 9 9 10 10 10 9 7 7 7 8 8 8 8 9 8 7 7 8 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 11 12 13 13 13 13 13 12 12 11 11 10 10 9 9 9 10 11 12 12 12 11 10 9 9 8 7 8 8 8 8 8 8 9 9 10 10 11 11 10 7 5 4 5 7 8 8 9 10 11 11 12 13 13 13 13 12 12 12 11 10 9 8 7 7 7 8 8 8 8 8 8 9 10 11 13 13 12 12 11 11 10 9 9 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 nan
nan 11 12 12 13 13 13 13 12 11 11 10 9 9 9 9 9 10 10 11 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 7 6 4 4 5 7 9 9 10 11 12 13 14 15 16 16 15 14 13 11 10 8 7 7 7 7 8 8 9 9 9 9 9 9 10 12 12 11 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 7 7 7 8 9 9 8 8 7 7 8 9 8 7 8 8 9 10 10 10 11 11 11 11 10 9 8 9 9 9 nan
nan 11 12 12 12 12 12 12 11 11 10 9 9 8 8 8 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 7 7 7 8 9 9 9 10 10 11 12 14 16 17 17 17 15 12 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 7 9 10 10 9 9 8 9 10 10 10 9 8 8 9 9 9 10 11 11 12 11 10 9 9 8 8 8 nan
nan 11 12 12 12 12 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 10 11 12 13 14 15 15 15 12 11 10 10 10 10 10 9 9 9 10 10 10 10 10 11 12 12 11 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 8 6 6 8 10 11 10 9 9 9 9 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 8 8 nan
nan 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 11 12 12 12 11 9 9 9 9 10 11 12 12 12 12 11 11 10 9 8 9 9 10 10 10 10 10 10 10 10 10 10 11 13 13 13 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 10 11 12 11 9 7 7 8 9 10 10 9 8 8 8 9 9 8 8 8 7 7 7 8 9 9 9 9 9 10 10 10 9 8 nan
nan 12 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 12 13 13 12 11 10 10 11 11 12 13 12 12 11 10 9 8 8 7 7 8 8 9 10 11 11 11 10 10 10 11 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 10 11 12 11 10 8 7 7 8 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 9 9 9 9 9 10 10 9 9 9 nan
nan 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 11 11 12 13 13 13 13 12 12 12 12 12 11 11 10 10 9 9 8 8 7 7 7 9 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 11 11 11 9 8 7 8 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 7 8 9 9 9 10 11 10 10 9 9 nan
nan 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 12 11 10 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 9 8 8 8 9 9 9 9 9 10 10 10 9 9 10 10 10 9 8 7 7 7 8 8 9 10 10 10 10 9 9 nan
nan 14 13 12 11 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 10 10 9 8 9 10 10 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 8 9 10 9 9 10 10 11 11 10 9 9 9 9 9 9 8 8 8 7 7 8 9 10 11 11 10 9 9 nan
nan 15 14 13 11 9 8 9 9 10 11 12 12 12 10 9 9 9 9 8 9 9 9 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 9 10 9 9 9 10 10 10 10 9 9 9 9 9 10 11 12 12 11 10 9 9 10 12 13 13 13 12 12 12 11 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 10 9 7 7 8 9 9 9 9 10 12 12 12 11 10 9 9 9 9 9 9 9 9 8 8 9 10 11 12 11 10 9 9 nan
nan 16 14 12 10 8 8 8 9 10 12 13 13 12 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 7 6 7 8 8 9 9 10 10 9 10 10 10 10 10 9 9 10 10 10 11 11 12 13 12 12 12 12 12 12 13 13 12 12 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 11 9 7 6 6 7 7 7 8 10 11 12 13 12 11 11 10 9 9 9 10 10 9 9 9 9 10 11 11 10 10 9 9 nan
nan 16 14 11 9 8 8 8 8 9 11 12 12 12 11 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 7 7 8 9 9 9 9 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 13 13 12 11 10 10 10 9 9 9 8 8 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 12 12 9 8 7 7 6 5 5 7 9 11 11 12 11 11 11 11 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 nan
nan 16 14 11 8 7 7 7 7 8 9 10 11 11 10 10 10 10 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 10 9 9 10 11 11 12 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 11 10 9 9 9 8 6 5 7 8 10 10 10 9 10 10 10 10 10 11 11 11 11 10 9 8 8 8 9 9 9 9 8 nan
nan 16 13 11 9 7 7 6 6 7 8 9 9 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 10 10 10 11 11 10 8 7 7 8 9 10 9 8 8 8 9 9 10 11 11 11 10 10 10 9 9 8 9 9 9 9 9 nan
nan 15 13 11 9 8 7 6 6 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 8 8 9 9 9 9 9 8 8 8 8 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 8 8 8 9 10 10 9 9 9 10 11 10 9 9 9 10 10 10 9 8 8 7 7 8 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 nan
nan 14 13 11 9 9 8 7 8 9 10 10 10 10 9 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 8 9 9 10 10 10 9 9 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 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 8 9 10 10 10 10 10 10 9 9 8 8 9 10 10 10 nan
nan 13 12 11 10 9 9 9 9 10 11 11 11 10 10 10 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 10 10 10 10 10 9 9 8 8 9 10 10 10 10 9 9 9 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 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 10 9 9 9 9 8 8 8 8 9 10 10 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 nan
nan 11 11 10 10 10 9 10 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 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 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 nan
nan 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 9 9 9 9 9 10 10 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 9 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 9 8 8 7 7 7 7 nan
nan 10 10 10 11 11 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 9 9 9 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 9 9 9 8 8 8 8 9 9 9 8 8 8 9 8 8 8 8 9 10 10 10 10 10 9 9 8 8 8 8 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 10 9 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 8 8 9 10 11 10 10 9 9 9 9 9 9 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 11 10 8 8 7 7 8 8 9 9 9 10 10 10 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 7 7 8 8 8 8 9 10 11 10 10 9 9 9 9 9 10 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 9 7 6 6 6 7 8 8 9 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 8 8 7 7 8 8 8 9 9 10 11 10 9 9 8 9 9 9 10 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 11 11 11 10 10 9 9 9 9 8 9 9 10 9 9 8 8 8 9 9 10 10 8 5 4 4 5 6 7 8 9 9 10 10 10 10 10 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 9 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 10 10 9 9 9 9 8 8 8 8 7 6 6 7 8 9 9 9 8 5 3 3 4 5 7 8 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 8 8 8 8 9 9 9 8 8 9 10 10 9 9 8 9 9 10 10 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 11 11 11 10 10 10 9 9 8 8 7 7 6 6 6 7 8 9 10 9 8 5 4 5 6 7 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 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 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 8 9 9 10 10 10 10 9 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 nan
nan 9 9 8 8 8 8 8 9 9 9 8 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 9 10 10 11 11 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 10 10 10 10 11 10 10 9 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 7 7 7 7 7 8 9 10 11 11 11 10 10 9 8 7 7 8 8 9 10 11 12 11 11 10 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 10 10 9 nan
nan 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 9 9 9 9 9 8 8 7 6 6 5 5 5 6 7 8 9 10 11 11 10 10 9 8 6 5 5 6 8 9 11 12 12 12 11 11 10 10 9 9 8 8 8 7 7 7 8 8 8 9 9 10 10 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 11 11 10 10 10 11 11 11 11 11 12 11 11 10 10 10 10 11 11 11 11 11 10 9 9 10 10 10 9 10 nan
nan 9 9 9 9 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 5 5 4 5 5 6 8 9 11 11 12 11 11 10 9 8 7 7 7 8 9 11 12 12 12 12 11 11 10 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 nan
nan 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 9 9 10 11 11 11 11 11 11 10 10 9 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 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 10 9 9 9 9 10 11 nan
nan 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 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 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 10 9 9 10 10 11 nan
nan 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1070 1030 1008 993 985 996 1035 1106 1176 1194 1194 1186 1181 1183 1187 1191 1192 1193 1204 1226 1257 1301 1359 1427 1487 1507 1523 1495 1430 1355 1300 1277 1295 1324 1285 1261 1242 1221 1201 1189 1186 1202 1199 1199 1216 1236 1248 1255 1260 1278 1279 1277 1280 1282 1284 1280 1248 1198 1171 1026 987 957 902 854 826 819 781 730 707 700 712 750 830 980 1141 1290 1421 1554 1702 1859 2020 2181 2281 2389 2465 2519 2555 2576 2583 2577 2517 2402 2261 2126 1964 1809 1702 1642 1610 1570 1594 1614 1618 1624 1637 1644 1655 1767 1941 1919 1713 1689 1758 1688 1553 1215 614 154 9 2 3 7 10 6 1 0 5 29 80 130 140 160 259 405 494
1215 1158 1104 1062 1040 1040 1058 1101 1121 1161 1173 1156 1148 1163 1169 1144 1133 1145 1156 1173 1200 1240 1300 1378 1446 1483 1480 1438 1369 1295 1235 1204 1209 1255 1243 1240 1235 1223 1212 1207 1207 1221 1228 1233 1243 1264 1282 1285 1292 1285 1290 1281 1282 1288 1288 1279 1272 1285 1254 1039 971 955 915 869 837 821 790 757 718 689 687 722 797 921 1096 1262 1397 1527 1657 1786 1922 2075 2229 2371 2469 2532 2581 2612 2615 2606 2579 2501 2397 2297 2174 2016 1848 1724 1666 1662 1710 1761 1791 1799 1800 1804 1814 1857 1988 1900 1866 1871 1792 1662 1527 1281 571 138 9 0 0 0 0 0 0 0 0 6 19 31 37 59 113 181 218
1327 1272 1214 1152 1116 1115 1123 1139 1141 1212 1225 1198 1180 1186 1186 1161 1130 1114 1130 1150 1171 1207 1269 1344 1421 1471 1464 1414 1348 1280 1214 1156 1147 1195 1219 1228 1231 1230 1230 1235 1248 1258 1258 1286 1274 1276 1305 1295 1283 1274 1276 1281 1292 1307 1319 1320 1317 1322 1309 1154 1044 990 955 921 877 856 824 790 749 712 701 735 803 900 1063 1226 1379 1515 1625 1724 1849 1994 2145 2269 2382 2499 2594 2644 2645 2606 2583 2560 2509 2446 2370 2257 2093 1917 1832 1826 1851 1890 1918 1911 1873 1854 1928 1985 2071 2059 2009 1928 1778 1590 1434 1297 561 119 7 0 0 0 0 0 0 0 0 1 2 2 3 10 18 29 38
1414 1364 1315 1250 1207 1201 1202 1196 1215 1274 1294 1288 1275 1260 1243 1219 1177 1114 1130 1158 1177 1206 1262 1336 1422 1481 1480 1428 1356 1284 1213 1142 1140 1181 1219 1245 1255 1260 1271 1296 1326 1343 1343 1366 1348 1323 1323 1318 1307 1296 1296 1304 1320 1341 1362 1371 1367 1359 1361 1292 1179 1061 995 996 949 924 890 837 794 759 749 785 859 963 1098 1225 1376 1512 1614 1702 1805 1942 2090 2224 2357 2482 2583 2648 2666 2623 2606 2597 2575 2545 2514 2459 2335 2180 2067 2007 1996 2008 2005 1964 1900 1864 1938 2029 2118 2124 2036 1896 1739 1548 1321 918 352 55 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
1469 1438 1407 1360 1323 1304 1290 1285 1300 1329 1357 1372 1377 1365 1338 1308 1260 1179 1161 1174 1193 1220 1272 1345 1428 1489 1500 1458 1386 1302 1221 1165 1158 1192 1232 1267 1291 1308 1331 1367 1421 1405 1412 1412 1397 1375 1360 1352 1343 1333 1336 1346 1359 1378 1400 1413 1411 1399 1390 1355 1289 1168 1060 1059 1022 993 960 911 852 807 799 839 911 1014 1161 1274 1401 1529 1632 1718 1806 1913 2024 2159 2290 2416 2530 2612 2653 2636 2608 2590 2592 2586 2560 2519 2438 2346 2235 2135 2083 2068 2045 1984 1937 1906 1953 2038 2103 2094 2014 1884 1660 1301 863 376 93 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1500 1509 1500 1473 1442 1412 1386 1378 1390 1412 1435 1448 1454 1445 1425 1406 1310 1237 1204 1201 1215 1242 1289 1362 1446 1511 1535 1509 1446 1365 1288 1229 1210 1221 1251 1306 1364 1401 1411 1423 1489 1484 1484 1477 1457 1432 1408 1392 1383 1372 1374 1387 1403 1420 1438 1452 1453 1443 1417 1376 1362 1303 1182 1118 1095 1062 1031 987 928 872 849 881 936 1075 1209 1335 1463 1583 1687 1777 1856 1936 2013 2108 2217 2335 2448 2530 2558 2556 2526 2526 2547 2542 2503 2465 2426 2391 2321 2237 2163 2113 2073 2017 1970 1941 1962 2015 2050 2024 1943 1809 1337 730 306 81 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1498 1534 1560 1560 1542 1513 1481 1464 1471 1491 1512 1522 1520 1513 1500 1470 1388 1302 1252 1240 1251 1275 1317 1391 1466 1537 1573 1568 1529 1468 1398 1327 1278 1274 1285 1328 1379 1418 1448 1485 1528 1557 1562 1548 1527 1498 1463 1437 1424 1413 1417 1432 1447 1461 1475 1485 1487 1483 1464 1423 1412 1386 1298 1212 1170 1145 1113 1078 1033 974 927 939 984 1129 1280 1423 1551 1663 1765 1863 1960 2032 2076 2120 2183 2270 2362 2417 2438 2485 2411 2391 2406 2402 2379 2365 2372 2392 2347 2279 2205 2137 2085 2040 1998 1968 1962 1966 1961 1923 1818 1557 808 259 52 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1447 1511 1565 1599 1612 1609 1596 1582 1573 1568 1571 1574 1573 1563 1541 1502 1433 1359 1310 1291 1300 1322 1354 1414 1484 1545 1589 1604 1589 1537 1455 1372 1328 1337 1349 1397 1457 1505 1540 1566 1596 1641 1652 1626 1604 1584 1549 1517 1485 1472 1472 1479 1489 1498 1507 1517 1521 1521 1518 1495 1480 1460 1401 1321 1275 1248 1213 1183 1151 1106 1056 1037 1068 1183 1333 1479 1611 1729 1836 1933 2024 2083 2121 2154 2199 2253 2291 2293 2339 2339 2246 2199 2201 2212 2219 2236 2289 2328 2303 2267 2234 2191 2140 2097 2064 2023 1978 1886 1785 1714 1530 972 326 59 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1295 1382 1467 1550 1621 1676 1715 1735 1734 1707 1680 1658 1639 1621 1598 1563 1502 1432 1382 1354 1354 1369 1392 1439 1518 1556 1590 1623 1641 1629 1583 1519 1448 1421 1442 1497 1566 1633 1679 1683 1668 1701 1729 1726 1717 1698 1659 1619 1575 1549 1536 1532 1535 1540 1547 1560 1566 1564 1569 1567 1560 1537 1484 1413 1388 1347 1320 1301 1284 1259 1221 1179 1176 1246 1366 1496 1617 1737 1865 1967 2049 2116 2166 2202 2233 2246 2220 2199 2244 2212 2111 2031 2017 2045 2074 2110 2185 2217 2210 2199 2189 2165 2138 2142 2117 1972 1762 1483 1253 1130 863 336 62 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1
1045 1148 1258 1390 1517 1637 1741 1817 1864 1859 1825 1789 1750 1709 1669 1631 1586 1522 1467 1428 1423 1435 1457 1506 1561 1600 1641 1694 1743 1763 1731 1648 1589 1532 1541 1583 1659 1751 1811 1793 1742 1753 1774 1797 1799 1781 1759 1732 1690 1644 1609 1590 1585 1587 1593 1615 1637 1646 1653 1652 1646 1626 1574 1489 1496 1449 1433 1426 1417 1406 1387 1346 1310 1325 1409 1525 1638 1750 1886 1999 2089 2165 2222 2241 2221 2184 2146 2184 2186 2107 1962 1872 1879 1906 1927 1987 2081 2099 2078 2054 2032 2004 1982 2080 1859 1366 816 471 391 368 230 55 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3
765 868 984 1135 1284 1447 1601 1720 1834 1888 1911 1909 1875 1818 1753 1700 1660 1607 1553 1515 1508 1516 1532 1570 1617 1669 1731 1793 1849 1873 1848 1784 1696 1653 1653 1680 1725 1778 1820 1838 1833 1825 1844 1874 1886 1879 1865 1836 1787 1728 1681 1652 1637 1629 1635 1681 1732 1763 1772 1765 1746 1720 1686 1608 1599 1562 1551 1550 1549 1546 1538 1511 1460 1428 1490 1593 1695 1803 1917 2030 2138 2222 2277 2255 2189 2177 2192 2180 2161 2085 1936 1824 1808 1794 1776 1807 1856 1828 1735 1638 1572 1496 1446 1447 1040 531 165 16 8 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 3 3
519 590 699 846 983 1160 1343 1493 1663 1781 1878 1952 1976 1952 1895 1829 1782 1720 1653 1610 1593 1596 1610 1640 1688 1748 1813 1880 1938 1966 1951 1899 1847 1805 1780 1772 1782 1809 1847 1875 1885 1880 1884 1901 1929 1947 1930 1887 1839 1807 1778 1745 1721 1719 1735 1784 1837 1865 1874 1872 1858 1834 1810 1728 1688 1663 1654 1654 1658 1662 1663 1653 1600 1564 1596 1671 1758 1848 1940 2061 2182 2221 2242 2247 2233 2246 2235 2166 2105 2013 1874 1753 1694 1617 1532 1472 1387 1249 1175 1250 1335 1019 741 492 250 82 11 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 2 2 2 2 2 3
371 405 478 605 710 860 1038 1210 1391 1568 1713 1882 2004 2064 2056 2001 1961 1870 1774 1710 1682 1676 1684 1706 1750 1803 1866 1945 2008 2039 2039 2010 1978 1952 1934 1917 1897 1888 1903 1923 1930 1936 1951 1975 1979 1943 1876 1805 1740 1749 1774 1771 1751 1742 1745 1762 1799 1809 1798 1793 1811 1851 1883 1842 1796 1762 1741 1726 1714 1712 1723 1729 1697 1668 1671 1719 1802 1885 1935 2041 2084 2111 2161 2222 2254 2244 2184 2023 1871 1707 1547 1430 1360 1272 1189 1120 970 800 774 916 942 533 157 44 11 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 2 2 3 2 2 2 2 2 3 3 2 2 3
363 367 374 448 507 607 730 856 1014 1209 1399 1651 1880 2049 2129 2128 2103 2029 1926 1839 1789 1769 1767 1779 1816 1866 1933 2009 2069 2104 2117 2115 2104 2098 2091 2075 2055 2030 2006 1996 1998 1986 1967 1940 1863 1723 1565 1452 1415 1451 1486 1471 1424 1391 1386 1372 1368 1346 1336 1363 1447 1592 1757 1868 1875 1848 1839 1830 1791 1750 1749 1765 1767 1759 1764 1808 1883 1928 1933 1912 1908 1961 2052 2122 2139 2178 2048 1762 1555 1366 1193 1096 1065 1032 1053 1047 847 588 443 409 341 158 31 0 1 1 1 1 0 0 1 1 1 1 2 1 0 0 1 1 1 1 2 3 3 3 3 3 2 2 2 2 2 2 2
445 410 383 396 423 478 552 634 735 878 1077 1325 1589 1840 2028 2126 2162 2146 2077 1987 1912 1870 1856 1863 1893 1944 2006 2073 2133 2179 2210 2228 2240 2252 2240 2215 2169 2119 2089 2065 2006 1879 1722 1538 1341 1153 1005 945 924 905 862 797 740 736 793 774 725 675 707 814 958 1126 1322 1564 1670 1724 1804 1893 1939 1933 1888 1872 1861 1850 1844 1880 1967 1960 1769 1576 1529 1587 1640 1606 1532 1716 1564 1354 1262 1184 1079 1011 1004 1128 1285 1305 1080 787 589 394 187 67 14 1 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 2 2 3 2 2 2 1 1 1 1 2 2
564 534 511 498 500 512 526 545 583 659 781 988 1226 1494 1751 1952 2101 2196 2199 2128 2038 1974 1948 1950 1971 2018 2074 2138 2200 2254 2300 2345 2379 2390 2369 2326 2268 2213 2167 2091 1892 1553 1244 981 792 672 571 517 445 377 309 253 231 265 338 324 302 284 338 453 577 681 816 992 1107 1189 1329 1539 1757 1930 1980 1978 1972 1983 2007 2016 1972 1807 1579 1401 1192 1045 979 890 745 748 634 741 915 1024 1047 1081 1220 1464 1634 1570 1249 827 502 340 173 43 5 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 1 1 1 1 1
709 707 697 678 657 628 589 545 509 498 551 679 869 1119 1403 1691 1961 2165 2261 2225 2148 2083 2048 2040 2056 2096 2149 2207 2264 2314 2361 2409 2442 2454 2437 2401 2352 2294 2216 2074 1755 1306 965 726 565 452 344 240 158 104 81 68 66 85 103 95 96 102 144 221 298 341 421 477 532 573 690 907 1152 1371 1610 1799 1933 2044 2116 2060 1771 1475 1354 1257 950 703 630 544 452 387 365 482 688 861 969 1163 1453 1692 1732 1569 1262 880 492 254 75 15 1 0 0 1 1 0 0 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1
827 815 792 766 738 690 628 564 508 465 465 508 619 797 1046 1369 1742 2048 2242 2270 2243 2208 2178 2160 2162 2189 2232 2281 2328 2370 2408 2446 2475 2484 2471 2446 2416 2377 2296 2104 1677 1200 837 588 420 295 186 96 45 18 10 8 8 12 15 14 12 13 29 63 101 126 164 189 236 286 361 475 613 784 1095 1276 1432 1578 1632 1533 1372 1259 1114 1029 861 663 513 375 289 239 262 373 513 651 837 1154 1561 1555 1261 902 575 270 39 3 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0
830 784 742 714 703 643 595 570 550 528 504 499 534 630 823 1130 1529 1922 2206 2306 2330 2328 2315 2296 2281 2292 2320 2355 2391 2423 2451 2478 2511 2525 2514 2493 2473 2450 2375 2132 1588 1070 686 432 267 149 68 22 8 2 0 0 0 0 0 0 0 1 3 8 17 31 48 67 98 141 194 256 320 392 553 621 734 922 1132 1243 1120 937 712 557 403 257 183 167 155 152 170 236 309 377 516 668 688 498 290 155 79 28 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 4 3 3 2 2 1 1 1 0 1 1 1 1 1 2 2 1 0 0 0
722 624 549 526 538 506 493 510 534 551 547 536 540 591 735 1002 1382 1828 2173 2324 2384 2412 2432 2434 2406 2398 2404 2417 2437 2462 2489 2520 2549 2563 2562 2565 2556 2507 2362 1997 1387 858 495 271 132 46 9 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 17 32 54 84 120 164 209 267 329 405 517 649 707 569 487 350 242 169 121 102 100 98 95 91 113 138 148 180 192 120 49 14 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 4 3 2 1 0 0 1 1 1 1 1 2 2 2 2 1 0 0
549 413 325 303 310 301 299 326 385 459 517 538 551 595 722 961 1315 1745 2075 2260 2368 2436 2497 2539 2511 2491 2477 2471 2477 2494 2519 2547 2574 2589 2603 2620 2596 2476 2203 1694 1079 607 316 150 58 14 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 5 14 29 46 69 95 120 147 186 246 303 308 283 237 178 132 107 93 84 77 67 60 56 55 52 46 43 37 23 8 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 6 5 2 1 1 1 1 1 1 1 1 2 3 3 2 1 1 1
377 263 193 162 142 124 123 156 225 323 432 495 534 597 728 951 1261 1626 1943 2168 2318 2407 2485 2562 2564 2552 2532 2521 2522 2534 2552 2574 2599 2611 2628 2613 2497 2227 1792 1220 709 371 175 72 24 7 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 5 11 19 30 44 59 75 94 111 105 109 105 97 92 90 86 74 64 52 44 38 32 26 22 16 10 6 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 5 6 7 6 3 1 1 1 1 1 1 1 1 2 2 2 3 1 2 2
193 138 104 77 57 47 55 84 140 224 337 435 510 608 758 972 1245 1561 1875 2115 2252 2349 2450 2544 2577 2572 2561 2556 2558 2566 2578 2591 2598 2575 2522 2386 2105 1673 1162 703 389 190 78 27 8 1 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 12 26 37 39 40 47 55 60 65 70 69 58 48 40 33 25 18 11 10 7 4 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 4 5 6 4 1 0 0 0 0 0 0 0 0 1 1 1 2 1 2 2
97 75 59 44 34 33 40 56 86 143 236 351 477 635 825 1048 1309 1601 1891 2088 2199 2317 2444 2536 2568 2570 2578 2582 2583 2577 2567 2549 2455 2259 1999 1686 1326 944 585 313 163 72 25 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 3 8 13 17 16 16 24 34 40 41 37 32 26 21 15 9 4 6 4 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 6 7 5 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1
76 72 72 71 68 66 62 61 64 80 130 225 413 655 897 1142 1412 1699 1947 2096 2200 2329 2467 2561 2585 2578 2586 2565 2496 2361 2179 1987 1724 1388 1047 746 502 314 174 78 35 14 5 2 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 1 5 10 15 17 16 15 13 12 10 8 6 6 5 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 3 5 6 7 8 7 4 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1
131 151 166 170 181 181 175 158 127 95 93 147 343 641 929 1194 1469 1757 1983 2128 2246 2379 2509 2591 2597 2561 2475 2279 1992 1625 1229 889 628 433 279 169 95 47 18 4 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 4 4 4 6 6 7 7 5 2 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0
268 293 295 294 337 377 421 441 395 290 191 152 266 551 888 1194 1465 1750 1994 2166 2303 2424 2514 2549 2509 2372 2005 1552 1120 740 427 210 91 45 26 16 8 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 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 1 0 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0
291 319 337 366 427 528 664 811 886 808 568 294 224 419 775 1130 1429 1735 2006 2203 2361 2463 2507 2458 2244 1799 1219 763 456 262 138 60 14 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 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 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1
299 289 285 307 352 444 597 816 1048 1170 1040 605 289 354 680 1065 1403 1709 1979 2203 2380 2375 2286 2107 1676 1029 584 341 210 131 77 38 4 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 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 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
207 185 172 171 184 230 336 532 810 1068 1126 779 422 393 664 1059 1425 1715 1989 2210 2295 2079 1733 1357 898 483 300 201 139 96 63 32 11 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
152 132 113 102 102 120 177 314 562 866 1061 902 661 596 792 1159 1540 1825 2067 2149 2007 1653 1219 814 480 274 189 127 84 60 45 26 15 6 2 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 2 2 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 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
120 103 89 82 83 97 131 232 457 778 1065 1128 1053 1028 1160 1425 1727 1962 2094 1870 1556 1198 846 546 328 199 130 74 45 35 28 19 10 3 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 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 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
72 65 62 63 69 81 107 201 408 730 1086 1315 1404 1461 1588 1766 1914 1939 1803 1484 1150 843 584 382 240 161 103 57 36 31 27 20 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 0 0 0 1 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 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
28 31 37 44 54 72 105 188 379 662 990 1310 1552 1674 1794 1895 1911 1788 1531 1195 876 612 419 285 190 133 85 57 42 35 29 21 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
7 11 19 29 43 68 110 190 345 585 885 1190 1422 1592 1686 1710 1644 1469 1209 923 665 462 321 228 161 115 81 59 42 30 19 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 2 4 12 25 46 92 177 319 515 743 959 1113 1237 1318 1336 1269 1116 906 696 511 378 277 199 144 102 72 49 32 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 2 9 24 61 133 251 426 619 765 844 904 968 990 946 838 697 559 432 331 240 162 105 63 37 22 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 4 11 32 77 155 276 416 537 631 696 747 763 735 667 574 478 381 281 190 115 61 24 7 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 1 1 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 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 2 10 34 73 133 215 308 393 476 549 598 605 572 512 426 333 234 147 78 30 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 7 26 52 84 124 175 239 306 361 391 401 396 336 254 173 102 48 15 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 3 12 24 37 53 76 105 127 139 143 140 129 105 72 39 16 4 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 2 6 12 18 20 21 21 19 13 5 3 2 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 3 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 7 6 5 4 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 9 8 7 6 5 4 3 2 2 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 10 9 8 7 6 5 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 14 13 12 11 10 9 7 6 5 4 4 3 3 2 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 17 16 15 14 13 12 11 9 8 7 6 6 5 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
19 19 18 17 16 15 15 14 13 12 11 11 10 10 10 10 10 9 9 8 8 8 6 5 3 2 2 2 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
22 21 20 20 18 18 17 17 17 17 16 16 16 16 17 17 17 16 16 15 15 14 12 9 7 5 5 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
23 23 22 22 21 20 20 20 20 20 20 20 21 22 23 24 24 24 23 22 23 22 20 17 14 12 12 11 9 7 6 5 4 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10
20 22 23 24 23 24 24 23 23 24 23 25 26 27 28 29 30 31 30 30 30 29 26 23 20 19 17 13 9 7 5 5 4 4 3 2 2 2 3 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 27
14 17 20 21 23 23 24 24 24 24 25 27 28 28 30 32 32 34 35 35 33 30 26 23 20 18 16 12 8 6 6 6 8 9 9 7 7 8 9 7 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 23 35
7 9 11 13 15 16 17 18 19 19 22 24 25 27 30 34 36 37 37 34 31 27 23 21 19 18 16 12 11 10 11 11 9 11 12 12 11 10 10 7 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 24 38
4 4 4 4 5 6 7 8 9 11 16 19 21 23 25 29 32 33 33 31 27 24 21 19 19 18 16 13 12 12 11 10 8 9 10 10 8 6 6 5 4 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 27 41
2 2 2 2 1 2 2 3 3 5 7 10 11 11 12 14 18 21 22 23 23 21 18 16 15 14 13 12 11 10 9 8 7 8 8 7 5 4 5 6 6 6 6 5 5 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 31 42
1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 4 7 10 12 14 13 13 12 10 8 8 8 8 7 7 6 5 5 6 7 8 10 11 12 13 13 13 13 10 9 7 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 16 31 44 53
0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 5 5 6 6 5 3 2 2 4 3 3 3 3 3 4 5 9 14 18 20 21 23 24 23 20 18 16 14 11 8 4 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 14 25 44 57 63