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 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 13 13 13 14 14 14 13 12 10 9 9 8 7 8 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 6 6 6 6 7 6 6 6 6 7 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 10 11 10 10 10 10 10 11 11 11 10 10 10 9 9 10 11 13 13 13 12 nan
nan 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 13 13 13 12 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 10 11 12 12 11 10 nan
nan 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 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 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 11 11 11 11 11 11 11 10 10 9 10 11 11 10 9 8 nan
nan 10 10 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 11 11 12 12 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 8 8 9 10 10 11 10 10 9 8 8 7 7 8 8 8 8 9 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 8 7 7 9 9 10 10 11 11 12 12 12 11 11 10 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 9 10 11 12 11 10 8 7 8 9 10 10 10 10 10 9 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 10 10 10 10 9 8 8 8 8 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 10 9 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 9 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 12 12 11 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 8 9 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 7 5 nan
nan 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 6 6 7 7 7 8 9 9 10 10 10 10 9 9 8 8 8 8 8 7 7 7 8 8 8 7 7 6 6 7 7 8 8 8 7 8 9 9 9 9 9 10 11 10 8 8 9 10 10 9 9 9 9 9 9 10 10 10 10 11 10 9 8 8 9 10 10 11 11 11 10 9 9 9 8 8 8 8 8 6 4 2 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 10 10 9 9 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 6 5 5 4 4 5 5 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 7 7 8 9 10 9 9 8 9 8 7 5 6 9 11 9 8 8 9 9 9 10 10 10 10 11 11 10 9 9 9 9 10 10 10 11 10 10 9 8 9 9 9 9 8 7 4 2 1 nan
nan 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 7 8 8 8 8 7 7 6 5 5 5 6 6 6 6 6 6 7 7 7 6 5 5 5 4 3 3 3 3 3 4 6 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 9 9 8 8 8 8 8 7 7 7 9 10 10 9 8 8 8 7 5 3 4 8 9 9 9 9 10 11 11 11 11 11 10 10 11 10 10 9 9 10 10 10 10 11 11 10 9 9 10 10 10 9 9 7 4 2 3 nan
nan 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 6 7 7 7 7 7 6 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 6 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 7 8 9 9 9 9 9 9 9 9 9 7 6 7 8 9 10 10 9 8 8 7 6 4 3 4 6 7 8 9 11 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 8 6 6 7 nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 8 9 9 10 10 10 9 8 7 7 7 8 9 10 9 8 7 7 6 4 3 4 5 6 6 7 8 11 13 15 16 15 12 10 8 9 9 10 10 10 10 10 9 9 10 11 11 11 11 12 12 12 11 11 10 10 9 10 10 nan
nan 7 7 7 7 7 7 6 5 5 5 4 4 4 4 4 4 4 5 6 7 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 9 9 8 7 7 8 8 8 8 7 7 7 7 5 3 3 4 5 6 5 5 6 9 13 16 18 17 13 9 8 8 9 10 10 10 10 10 9 8 8 10 10 11 11 11 12 11 11 11 10 10 11 11 11 nan
nan 8 8 8 9 9 9 8 8 8 8 7 6 5 5 5 4 4 5 6 7 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 13 13 13 13 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 11 11 10 9 9 9 10 11 11 10 8 7 8 8 9 10 9 9 8 8 8 8 8 8 8 7 6 6 7 7 5 3 3 4 5 6 6 5 6 7 11 15 17 17 14 10 9 9 9 9 9 9 10 10 9 8 8 8 10 11 11 11 10 11 11 11 11 11 11 10 10 nan
nan 8 8 8 9 10 10 11 12 12 13 12 12 11 10 9 8 7 7 7 8 9 10 10 10 10 10 10 10 11 11 12 13 14 13 13 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 9 10 12 13 11 9 8 7 8 8 8 8 9 9 9 10 9 9 8 7 6 5 6 7 6 4 3 3 4 6 6 6 6 6 7 9 13 15 16 14 12 10 9 8 8 8 8 9 9 9 8 7 8 9 10 11 10 10 11 11 11 11 11 10 9 9 nan
nan 9 8 8 8 9 10 11 12 13 14 14 14 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 11 11 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 11 12 13 12 10 9 8 8 8 8 8 8 9 9 10 9 8 7 6 5 4 5 6 5 4 4 5 6 7 6 6 6 6 6 8 11 14 15 15 13 10 8 7 7 7 7 7 7 7 8 7 7 8 9 10 9 9 10 11 11 11 10 9 9 9 nan
nan 9 8 8 8 9 9 10 10 11 12 13 14 14 14 14 14 12 11 10 10 9 10 10 10 9 9 9 10 11 12 12 12 12 11 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 8 8 8 7 7 8 8 8 8 7 6 5 4 4 5 5 6 7 7 8 8 7 6 6 6 6 7 8 10 12 14 15 12 9 7 7 8 7 6 5 6 7 7 7 8 8 9 9 9 9 9 10 11 11 10 10 9 9 nan
nan 9 9 10 9 9 9 8 9 10 12 13 13 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 9 10 10 10 10 10 11 11 11 10 9 9 9 8 7 7 7 7 8 8 7 6 5 4 4 5 6 8 9 10 10 9 7 6 5 6 6 7 8 9 10 12 13 11 9 8 9 9 7 5 4 5 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 nan
nan 11 11 12 11 10 9 9 10 12 13 14 14 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 10 10 10 11 11 10 10 9 9 9 8 7 7 7 7 8 8 7 7 5 5 6 6 8 10 10 9 8 7 6 6 5 6 7 8 8 8 9 10 11 10 10 10 11 10 8 6 6 7 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 nan
nan 12 13 14 13 12 11 11 11 13 14 14 14 13 12 12 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 11 10 10 10 9 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 8 8 9 9 10 10 9 9 10 11 10 10 10 10 11 11 10 10 9 9 9 8 8 7 7 8 8 8 8 7 6 6 7 9 11 11 10 9 7 6 6 5 6 6 7 8 8 8 8 9 10 10 10 11 12 11 9 8 8 9 9 9 9 8 7 7 6 6 6 7 8 9 9 10 10 10 10 nan
nan 14 14 15 14 13 12 12 12 13 14 14 13 12 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 8 7 7 8 10 12 12 10 9 7 7 6 6 6 7 8 9 9 9 9 10 10 9 10 11 11 10 8 8 8 9 10 10 10 9 9 8 7 6 7 7 8 8 8 9 10 10 10 nan
nan 14 14 14 13 12 11 12 13 13 12 12 11 10 10 10 10 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 8 9 9 9 9 8 8 8 9 9 8 7 7 7 9 10 10 9 8 7 6 6 7 7 8 9 9 10 10 11 12 11 10 9 9 9 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 nan
nan 13 13 13 13 12 11 12 12 11 11 9 9 9 9 10 10 11 11 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 7 7 8 9 10 10 10 9 9 8 8 8 9 9 10 10 10 9 9 10 11 11 11 9 9 9 9 9 8 7 6 5 6 7 7 7 6 6 6 7 7 8 8 9 9 10 11 13 14 12 10 9 8 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 10 11 nan
nan 12 12 13 13 12 12 11 11 10 9 8 8 9 9 10 11 11 11 11 10 10 9 9 10 10 11 11 11 11 11 11 10 10 11 11 11 11 10 10 9 9 9 8 8 8 9 9 9 10 10 9 9 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 9 9 10 11 11 11 11 10 10 11 12 12 11 10 9 9 8 8 8 7 6 5 6 7 7 7 7 7 7 7 8 8 9 9 8 9 11 14 15 12 10 9 9 10 10 10 9 8 8 9 9 10 10 10 10 11 10 9 8 8 8 8 9 9 10 11 nan
nan 11 12 13 13 13 12 11 10 9 8 9 9 10 10 11 12 12 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 12 12 12 11 10 10 9 9 8 7 7 7 6 7 8 9 9 9 8 8 8 8 9 9 9 8 9 11 14 13 11 10 9 11 12 11 11 10 9 9 10 10 10 10 10 11 11 11 9 8 7 8 8 8 9 10 10 nan
nan 11 13 14 14 13 12 10 9 9 9 9 10 11 11 12 12 13 12 12 11 11 11 11 11 11 11 11 11 10 10 9 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 9 9 9 8 8 8 7 7 7 7 8 9 10 10 10 10 9 8 8 9 10 10 10 10 11 12 12 13 13 12 12 12 12 12 11 11 10 10 8 7 7 8 8 8 9 10 11 10 9 8 8 8 9 9 9 9 10 12 13 11 10 9 10 11 11 11 10 10 10 10 11 11 11 10 10 11 12 11 10 9 7 6 5 6 7 9 10 nan
nan 12 14 15 14 13 11 10 9 9 10 10 10 11 12 12 13 13 12 12 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 11 10 10 9 8 8 8 8 9 8 8 8 8 7 8 8 8 8 8 9 10 10 10 9 7 5 5 7 8 9 10 10 11 11 12 12 13 13 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 11 12 12 10 9 8 9 9 9 9 9 9 11 11 10 9 9 10 10 10 10 9 9 10 10 11 12 12 11 11 10 11 11 11 9 7 4 3 4 5 7 9 nan
nan 15 16 15 14 12 11 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 12 12 12 11 11 10 9 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 7 5 3 3 6 8 9 10 10 10 11 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 10 9 10 11 12 13 12 10 9 9 9 9 8 7 8 9 10 10 9 9 10 10 10 9 9 9 9 10 11 12 13 13 11 10 10 11 11 11 9 6 5 5 5 7 9 nan
nan 16 16 15 13 12 11 10 10 9 9 9 10 11 11 12 12 12 12 11 11 11 12 12 12 12 12 11 10 10 10 10 11 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 7 5 3 4 6 8 10 10 10 10 11 12 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 11 10 10 11 12 13 12 11 11 10 10 9 8 7 7 8 9 10 10 10 10 10 10 10 9 9 10 10 11 12 13 13 12 11 11 11 12 12 12 11 10 9 8 8 8 nan
nan 16 15 13 12 11 10 10 10 9 9 9 10 11 11 12 12 12 12 11 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 11 12 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 7 9 10 11 10 10 10 11 11 12 13 13 13 12 12 13 13 14 14 14 14 14 14 14 13 12 11 11 12 12 13 12 12 11 11 10 9 8 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 12 11 12 13 14 14 14 14 12 10 8 nan
nan 15 13 11 10 10 10 10 9 9 9 9 10 11 11 12 12 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 12 12 12 11 10 10 9 9 9 9 9 9 10 10 9 9 8 7 7 6 6 7 7 8 9 9 9 9 9 10 11 12 12 11 11 11 12 12 13 13 12 11 11 11 11 13 14 15 14 14 14 14 15 15 14 13 12 11 11 12 12 12 12 12 11 10 9 8 8 8 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 12 11 11 12 13 15 16 16 15 14 11 nan
nan 14 12 11 9 9 9 9 9 8 9 9 10 10 11 11 11 10 10 10 10 11 11 12 11 11 11 10 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 9 8 7 7 6 7 7 8 9 10 11 11 11 11 11 12 13 13 12 11 12 12 13 13 12 11 9 9 9 9 10 12 14 15 14 14 14 16 16 15 14 12 10 9 9 9 10 12 13 12 11 9 8 8 8 9 10 10 10 10 10 10 11 11 11 11 10 9 9 10 11 11 11 11 11 11 12 14 15 16 17 17 16 nan
nan 13 12 11 10 9 8 8 8 8 8 9 10 10 10 10 10 9 9 9 10 11 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 8 8 8 9 10 11 11 12 12 13 13 13 13 11 10 10 12 13 13 12 10 9 9 10 9 9 10 12 13 14 14 15 16 16 15 13 11 9 8 8 8 9 12 12 11 11 10 8 7 8 9 9 10 10 10 10 10 11 11 12 12 11 10 10 10 10 10 10 10 11 11 12 13 14 15 16 16 16 nan
nan 12 11 11 10 10 9 9 8 8 9 9 9 10 10 9 9 9 9 10 10 11 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 11 11 12 12 13 13 12 12 10 9 10 11 11 11 11 10 10 10 11 10 10 10 11 12 13 15 16 16 16 14 12 11 9 9 8 9 10 11 11 11 11 10 9 8 7 8 9 10 10 10 10 10 11 11 12 12 11 10 10 10 9 9 10 10 11 11 12 12 12 12 12 13 13 nan
nan 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 10 11 12 12 12 12 11 10 10 9 10 10 10 10 10 10 10 10 10 11 11 12 11 11 12 13 14 15 16 15 14 12 10 10 10 10 11 12 12 11 11 11 11 10 9 8 9 10 10 10 9 9 9 9 9 10 9 9 9 10 9 9 9 10 10 10 10 11 11 10 10 10 10 10 nan
nan 11 10 9 9 9 10 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 8 7 7 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 8 10 11 10 9 8 8 8 9 10 10 11 11 12 12 12 11 10 9 8 8 9 10 10 10 10 10 11 11 10 10 11 11 12 11 11 11 12 13 14 15 15 14 13 13 13 13 12 12 12 12 12 11 12 12 12 12 12 12 12 11 9 9 9 8 8 7 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 nan
nan 11 11 10 9 9 9 10 10 10 10 10 10 9 8 9 9 10 11 12 12 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 9 10 11 10 9 8 8 9 10 11 12 12 12 11 11 11 10 9 8 7 8 9 10 10 10 10 10 11 11 11 11 10 10 11 11 11 12 12 13 14 14 14 13 13 14 15 14 14 13 13 12 11 11 12 13 14 14 15 15 12 9 8 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 7 nan
nan 12 12 11 10 9 10 10 10 10 10 10 9 8 8 8 9 10 11 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 10 9 8 8 8 9 10 11 12 12 11 10 10 10 9 9 8 8 8 9 10 11 10 9 10 11 12 13 11 10 10 11 12 13 13 13 14 15 14 13 13 13 12 12 12 12 13 12 11 10 10 11 12 13 14 16 14 10 7 6 8 10 10 9 9 9 9 9 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 7 nan
nan 13 12 11 10 10 10 10 10 10 10 10 9 7 7 7 8 10 11 12 12 12 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 10 10 11 11 11 11 10 9 8 8 8 9 9 10 10 10 10 9 9 10 10 10 9 9 9 10 11 11 10 9 10 11 13 13 12 11 11 12 13 13 13 13 13 13 12 12 12 12 11 10 10 10 11 11 10 9 8 8 9 11 13 13 11 9 6 7 10 10 10 9 9 9 9 9 9 9 9 10 9 8 8 8 8 8 8 9 9 10 9 6 nan
nan 13 12 11 10 10 10 10 10 10 10 9 8 7 6 7 8 10 11 12 12 12 12 12 12 12 11 11 11 10 10 10 9 8 8 8 8 7 6 6 6 7 8 9 10 11 12 12 12 12 11 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 11 12 12 11 10 11 12 13 13 12 12 11 11 11 10 10 11 11 10 9 8 9 9 9 7 6 6 7 9 10 10 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 8 9 9 9 8 6 3 nan
nan 13 12 12 11 10 10 10 10 9 9 8 8 7 7 8 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 7 7 6 6 6 6 6 7 7 8 10 11 12 12 12 11 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 9 9 10 11 13 13 13 11 10 10 9 9 9 10 10 9 8 6 6 6 6 6 5 5 7 8 9 9 9 8 9 9 9 9 10 12 13 12 10 9 8 8 9 9 8 8 8 8 7 7 7 6 5 3 0 -1 nan
nan 14 14 13 12 11 11 10 9 8 8 7 7 7 8 10 12 13 13 12 12 11 10 10 11 10 11 11 11 12 12 11 10 8 7 6 5 6 6 7 7 8 8 9 11 11 12 12 11 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 11 11 12 11 10 10 10 10 11 11 10 9 8 8 9 10 11 12 13 12 11 10 10 9 9 8 8 8 8 6 5 4 4 4 4 5 6 7 8 9 9 9 8 8 8 8 9 11 13 13 12 10 8 7 8 9 9 8 8 7 7 6 5 3 1 -0 -1 -1 0 nan
nan 15 15 14 13 12 11 10 9 8 6 5 5 5 8 11 13 13 13 12 11 11 11 11 11 11 11 11 11 11 12 11 10 8 7 7 6 6 7 7 8 9 10 11 12 13 13 12 12 10 10 9 9 8 8 8 7 7 7 8 9 9 9 10 10 11 11 12 11 11 10 10 10 10 10 9 8 8 8 9 10 10 11 11 11 11 11 11 10 9 8 7 7 7 7 7 6 5 4 5 6 7 8 9 10 10 9 9 8 8 8 9 11 12 11 10 8 8 8 9 9 9 7 6 5 4 2 0 -1 -2 -1 2 4 8 nan
nan 14 14 14 14 13 11 10 9 7 5 3 3 5 9 11 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 10 9 8 8 8 7 7 7 7 8 10 11 12 13 14 14 13 12 11 10 10 9 8 7 7 7 7 7 7 7 8 9 10 10 11 11 11 10 11 11 11 10 9 9 9 8 9 9 10 10 10 10 10 10 11 11 10 9 8 7 6 7 7 8 9 8 7 7 7 8 9 10 10 11 12 11 9 8 8 9 10 10 10 9 8 8 9 10 10 10 8 4 2 0 -1 -2 -2 -1 2 6 10 13 15 nan
nan 14 14 14 14 13 12 10 9 7 4 3 3 6 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 7 7 7 8 10 11 12 13 14 14 14 13 12 11 10 9 8 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 11 10 9 8 8 9 9 9 10 10 10 9 9 10 10 9 9 8 7 6 6 7 8 9 9 9 9 9 10 10 11 11 12 13 12 11 9 8 9 11 11 11 10 8 8 9 10 12 13 12 7 3 1 -0 1 2 4 8 12 16 19 19 19 nan
nan 14 14 15 14 13 11 10 8 6 5 5 6 8 9 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 8 7 7 7 7 8 9 11 12 13 14 14 13 12 11 11 9 8 8 8 8 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 10 10 10 10 11 11 10 11 12 12 11 10 9 10 12 14 14 12 11 10 10 11 12 14 15 13 9 7 6 8 10 12 15 18 21 23 22 20 18 nan
nan 14 14 14 14 13 11 9 8 6 6 7 8 9 9 9 9 10 10 11 11 11 11 10 9 8 8 8 7 6 6 6 6 6 7 8 8 8 8 8 9 9 10 11 12 13 12 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 13 15 16 16 14 13 13 13 14 16 16 16 14 13 13 14 16 18 19 20 21 22 21 18 16 14 nan
nan 13 13 13 13 12 10 9 7 7 8 9 9 10 10 9 9 10 10 11 11 10 10 9 7 7 7 7 6 6 5 5 6 7 7 8 9 9 9 9 9 10 10 11 12 11 10 8 7 7 7 8 9 9 9 10 10 11 11 12 12 11 10 8 8 8 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 12 14 15 15 15 14 14 15 16 16 17 16 15 15 15 15 16 17 18 19 19 18 16 14 11 9 9 nan
nan 11 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 8 7 6 6 6 6 6 6 6 7 7 8 9 10 10 10 9 10 10 11 11 11 10 9 8 6 6 8 9 9 9 9 9 10 11 11 12 12 12 11 9 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 10 10 11 11 11 12 12 12 12 12 13 14 15 15 14 13 12 12 12 13 13 14 14 14 14 13 11 10 10 10 11 nan
nan 10 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 10 9 8 7 7 7 6 6 6 7 7 7 8 8 9 10 11 11 10 10 10 11 12 12 11 11 10 9 7 7 8 8 9 8 9 10 10 10 11 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 11 12 12 11 11 11 12 13 14 15 nan
nan 10 10 10 10 10 11 11 11 11 11 10 10 9 9 10 11 11 11 11 10 9 8 8 7 7 6 7 7 8 8 9 9 10 11 12 12 13 12 12 12 12 12 12 11 12 11 10 9 8 8 9 9 9 9 10 10 11 10 11 11 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 8 7 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 11 12 12 12 12 13 13 14 14 15 nan
nan 10 10 10 9 9 9 11 11 12 12 11 11 10 10 10 11 11 11 11 10 9 8 8 7 7 7 7 8 9 10 10 10 11 11 12 13 14 14 13 13 13 13 12 11 10 10 10 8 8 9 10 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 9 7 6 4 3 3 3 4 6 8 9 10 10 11 11 11 11 12 12 11 9 8 8 8 10 12 13 13 13 12 12 12 12 12 12 12 nan
nan 10 10 9 8 8 8 9 10 11 11 11 12 11 11 10 10 9 9 9 9 9 8 8 7 7 7 8 9 10 11 11 11 11 11 12 13 13 14 14 15 15 14 12 10 9 9 9 8 8 9 11 12 12 11 11 11 10 9 9 10 11 11 11 11 10 9 9 9 10 11 11 11 11 11 11 10 10 11 11 12 12 12 12 11 11 10 9 9 9 9 10 11 11 11 11 11 10 8 6 4 2 1 0 0 1 2 3 5 7 8 8 8 9 11 11 11 9 6 5 6 9 12 14 14 13 13 12 11 11 10 10 10 10 nan
nan 10 9 8 8 8 8 9 9 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 7 8 8 9 10 11 11 11 11 12 12 12 13 13 14 15 16 15 14 13 11 10 10 9 9 9 10 11 11 11 11 11 10 9 8 8 9 9 10 10 10 9 9 8 9 10 10 11 11 12 12 11 11 11 11 12 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 9 7 7 6 6 6 5 4 3 1 0 0 0 1 1 2 4 7 9 10 9 6 4 5 8 13 16 15 13 12 11 11 11 10 10 10 10 10 nan
nan 9 9 8 7 7 8 8 9 9 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 9 10 11 11 11 12 12 13 13 13 13 13 14 14 14 14 13 11 11 11 11 10 9 9 10 10 11 12 12 12 10 9 8 8 8 9 9 9 9 9 9 10 11 12 12 12 13 13 12 12 12 13 13 13 12 12 11 11 11 10 9 8 8 8 8 8 7 6 5 5 5 7 8 9 10 10 10 9 7 5 3 1 -0 -0 1 4 8 10 10 8 6 6 10 15 19 19 15 12 10 10 10 10 10 10 10 10 9 nan
nan 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 11 12 12 12 11 9 9 9 10 12 13 14 13 12 11 10 9 9 9 10 10 10 10 11 13 14 15 14 14 14 14 14 15 15 15 14 13 12 11 10 10 10 10 10 8 7 6 5 4 4 3 3 4 5 7 9 11 12 12 12 12 11 9 8 6 5 5 6 9 11 12 12 10 10 13 17 22 23 19 15 12 10 9 10 10 10 10 10 9 9 nan
nan 8 8 9 9 9 10 11 11 11 11 11 10 9 9 9 10 11 11 12 12 11 11 11 11 10 10 11 11 11 12 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 11 9 8 9 9 11 12 13 13 12 12 12 11 10 10 11 12 12 13 14 15 16 15 15 14 14 14 14 14 15 15 14 13 11 10 9 9 10 10 11 10 9 7 6 4 4 4 4 5 7 8 10 11 11 11 11 11 10 10 10 9 9 9 10 12 13 13 13 13 14 17 20 22 20 16 13 10 10 10 10 10 10 10 10 10 9 nan
nan 9 10 11 12 12 12 12 11 11 11 10 9 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 9 9 9 10 11 12 12 11 9 8 8 8 8 9 9 10 10 11 12 11 10 10 11 12 13 15 16 16 15 14 13 13 12 12 11 11 11 11 11 11 10 10 9 9 9 10 11 11 12 12 11 10 9 8 7 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 11 12 13 13 13 13 14 16 18 18 15 13 11 9 10 10 11 11 10 10 10 10 10 nan
nan 11 13 15 15 15 14 12 11 10 9 9 8 8 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 11 12 11 10 9 8 7 7 8 9 10 11 12 11 10 9 8 7 7 7 7 8 8 9 10 10 9 10 10 11 13 15 15 15 14 12 11 11 10 9 9 8 8 8 8 9 9 9 9 8 8 8 9 11 12 14 14 14 13 11 9 9 9 9 10 9 9 8 8 8 8 8 9 9 9 10 11 12 13 13 13 13 14 16 17 16 13 11 9 9 10 10 10 10 10 10 10 10 10 nan
nan 14 16 17 17 15 13 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 8 9 10 11 12 11 11 9 8 7 7 7 8 9 10 11 11 12 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 11 13 14 14 13 12 10 10 9 8 8 7 7 7 7 7 7 8 8 9 8 8 7 7 8 9 11 11 11 11 10 9 9 9 10 9 8 8 8 8 8 8 8 8 8 9 10 12 14 14 14 13 13 15 18 19 17 14 11 9 9 10 10 10 10 10 10 10 10 10 nan
nan 16 18 18 16 14 11 10 9 9 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 10 10 11 11 11 10 9 8 7 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 9 8 8 8 8 8 8 9 11 12 12 10 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 6 5 5 5 5 5 6 7 8 9 10 9 8 8 7 7 8 8 8 8 8 8 9 11 14 16 15 14 14 15 18 20 20 18 14 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 16 17 16 14 11 9 8 8 9 10 10 9 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 10 11 11 10 10 9 9 8 8 8 9 9 10 10 11 11 11 11 11 12 12 12 12 12 11 11 9 9 8 8 8 8 7 7 8 8 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 5 4 3 3 5 7 9 10 10 9 8 7 7 8 8 8 8 8 8 9 11 14 17 17 16 14 13 15 18 19 18 15 13 11 11 10 11 10 10 10 10 10 10 10 11 nan
nan 13 14 13 11 9 8 7 8 9 9 10 9 9 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 8 7 6 6 6 7 8 9 10 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 8 7 6 7 8 9 10 10 9 9 8 8 8 8 8 8 8 9 9 10 13 16 18 17 14 12 12 14 16 16 15 12 11 11 11 11 10 10 10 10 11 11 11 11 11 nan
nan 12 12 12 10 9 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 10 11 11 11 11 11 11 12 12 12 11 10 9 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 9 8 8 8 9 10 11 11 11 11 11 12 13 14 14 13 13 12 13 13 13 13 12 11 11 10 10 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 10 11 12 15 17 18 16 13 11 12 14 14 14 12 11 10 10 10 11 10 10 10 11 11 11 11 11 11 nan
nan 11 12 12 11 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 11 12 12 12 12 11 11 11 12 13 11 10 9 8 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 12 12 13 12 11 11 10 10 11 11 11 11 11 11 13 15 17 17 16 15 15 14 15 15 15 14 12 11 10 9 9 10 10 11 11 11 11 11 10 9 9 9 8 8 9 10 11 13 15 18 19 19 16 13 12 13 14 14 12 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 nan
nan 12 13 13 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 12 10 10 12 13 13 11 8 7 8 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 12 14 15 15 15 14 12 11 10 10 10 10 10 10 11 12 13 15 16 15 15 14 13 13 13 13 12 11 9 8 8 9 10 11 12 12 12 12 11 11 10 9 9 9 9 10 11 13 15 18 20 21 19 16 14 13 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 nan
nan 14 15 15 14 13 13 12 11 11 11 10 11 11 11 11 12 12 12 12 12 13 13 14 13 12 10 11 13 14 13 11 8 7 8 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 12 13 15 15 15 15 13 12 12 11 11 10 9 9 10 10 11 11 11 12 12 12 11 11 11 11 11 9 8 7 7 8 9 10 11 12 12 12 12 11 11 10 10 9 9 10 11 12 15 18 20 21 18 15 13 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 nan
nan 16 16 16 16 15 14 13 12 12 11 11 12 12 11 12 11 12 12 12 12 13 13 14 14 13 11 11 12 13 13 11 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 12 13 14 14 14 13 13 12 12 12 13 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 9 7 7 7 8 9 10 11 12 12 12 11 11 11 10 10 10 10 11 12 15 18 20 20 18 14 12 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 nan
nan 16 16 16 15 14 13 13 12 12 12 12 12 12 12 12 11 11 11 12 12 13 14 14 14 14 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 14 14 14 13 12 12 12 12 13 13 13 13 13 13 12 11 10 10 10 11 12 12 12 12 12 13 13 11 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 12 14 16 18 19 17 14 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 nan
nan 15 14 13 12 11 11 11 12 12 12 13 13 13 12 12 11 11 11 12 12 13 14 14 15 14 14 13 12 12 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 14 14 15 14 14 13 13 13 12 12 12 12 12 12 12 11 11 10 10 10 10 12 13 14 13 13 13 14 14 12 10 8 9 10 12 12 12 12 12 11 11 11 11 12 12 12 13 14 16 18 18 17 13 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 nan
nan 12 11 9 8 8 9 10 11 12 13 14 14 13 13 12 12 12 12 12 12 13 14 15 14 14 13 13 12 12 12 12 12 13 13 12 12 12 12 11 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 14 15 15 15 15 14 13 13 12 12 12 12 11 11 10 10 10 9 9 9 10 12 13 13 13 13 13 14 13 10 9 8 10 13 14 14 14 13 13 13 13 13 14 14 14 14 15 16 18 19 17 14 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 nan
nan 10 8 7 7 8 8 9 10 11 13 14 14 14 14 13 13 12 12 12 13 13 15 15 14 13 12 11 11 11 12 13 14 14 13 13 12 12 11 10 9 9 9 9 10 10 10 11 11 12 12 13 14 14 14 14 14 15 15 15 14 14 13 11 11 11 11 10 10 10 10 10 9 9 9 9 10 11 12 12 12 12 12 12 10 9 8 9 12 14 15 15 14 15 15 15 16 17 17 16 16 16 16 17 17 17 15 12 11 11 11 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 8 7 7 8 8 9 9 10 12 13 14 15 15 15 14 13 13 13 13 13 14 15 16 14 12 10 9 9 11 13 15 15 14 13 12 12 11 10 9 8 9 9 9 10 11 11 11 12 12 13 14 15 15 15 15 15 15 14 14 13 12 11 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 11 11 11 11 10 9 8 8 8 9 11 12 13 13 14 15 16 17 18 18 18 17 15 15 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 7 7 8 9 9 10 10 11 12 13 14 15 15 15 14 13 12 12 12 13 15 16 17 16 14 12 10 11 12 14 15 14 13 13 13 12 11 9 8 8 8 9 11 12 12 12 12 12 13 14 16 16 16 16 15 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 9 9 8 7 8 9 10 11 11 11 10 9 8 8 8 8 9 10 11 12 13 13 14 15 16 16 16 15 14 13 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 7 8 9 10 10 10 11 11 13 14 15 15 14 13 12 11 11 11 12 13 15 16 17 17 16 15 14 15 16 16 16 14 13 13 12 11 10 9 8 8 9 10 11 13 13 13 13 14 15 16 17 17 16 15 14 13 12 11 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 7 7 9 10 10 11 11 10 9 9 8 9 9 10 11 11 12 13 13 13 13 14 14 14 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 7 8 9 10 11 11 11 12 13 14 15 14 12 10 9 9 10 10 11 12 13 14 14 15 15 16 16 17 18 18 16 14 13 12 11 10 9 8 8 8 9 10 11 12 13 13 14 15 16 16 16 15 14 13 12 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 9 8 7 7 8 9 10 11 11 11 11 10 9 9 9 10 11 11 11 12 12 12 12 12 13 13 13 13 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 7 8 9 10 11 11 12 13 14 15 14 12 10 8 8 8 8 9 10 11 11 12 12 13 13 13 14 16 17 17 15 12 11 10 9 9 8 8 9 9 10 10 11 12 13 14 15 15 15 14 14 13 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 9 9 8 8 7 7 8 9 10 11 12 12 11 10 10 9 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 12 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 10 10 10 nan
nan 7 8 9 10 10 11 12 13 14 15 13 11 9 7 6 7 8 9 9 10 10 11 12 12 12 13 13 14 15 15 13 10 9 8 8 9 9 9 10 11 11 12 13 14 14 15 15 14 14 13 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 9 10 10 10 11 10 10 11 11 13 13 13 13 13 12 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 10 10 11 11 nan
nan 6 7 8 9 10 11 12 13 14 14 12 10 8 7 7 7 8 9 10 10 11 11 12 12 13 13 14 15 14 13 11 9 7 7 8 9 10 11 11 12 13 14 15 15 15 14 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 8 9 9 10 10 10 10 10 11 12 13 13 12 12 12 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 10 10 10 10 11 11 nan
nan 6 7 8 9 10 11 12 13 14 13 12 10 8 8 8 9 10 10 11 11 11 11 11 12 13 14 15 15 14 13 11 9 8 7 8 9 10 11 13 14 14 15 15 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 7 8 9 10 10 10 10 10 11 12 12 12 12 12 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 11 10 10 10 10 10 11 11 11 nan
nan 7 8 8 9 10 11 12 14 14 13 11 10 9 9 9 11 11 12 12 12 11 11 11 12 13 14 15 15 14 12 11 10 10 9 9 10 11 12 13 14 14 13 13 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 10 10 10 11 11 11 11 11 11 10 10 9 8 7 7 8 9 11 12 11 10 10 11 12 12 12 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 12 10 7 7 10
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 15 23 23 19 21 23
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 13 20 28 34 36 36 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 14 25 36 41 41 35 27
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 13 22 28 26 25 27 24
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 10 14 16 17 18 19 22 18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 6 6 7 12 23 22 21 18
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 2 1 2 3 8 15 33 27 22 19
1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 2 2 4 7 11 10 23 19 15 16
4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 4 4 5 5 4 7 11 18 41 78
5 5 5 3 2 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 1 2 3 3 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 10 10 10 11 12 13 13 19 39 76
2 3 2 2 2 2 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 12 15 14 13 14 16 17 17 17 18 22 32
0 1 1 2 3 4 3 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 12 9 9 12 15 18 19 21 21 21 26 35
0 0 0 2 4 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 10 8 11 14 17 18 21 22 21 21 30 38
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 9 11 13 16 19 20 20 22 32 36
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 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 1 3 5 6 7 8 9 11 15 18 22 30 45 46
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 1 2 3 3 3 3 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 7 8 11 16 21 27 42 50
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 6 8 9 9 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 1 2 3 3 5 6 8 12 18 22 32 41
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 6 9 11 11 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 9 15 19 22 25
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 1 3 4 6 8 10 10 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 8 13 16 19 21
0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 8 9 9 8 7 5 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 7 9 11 14 17
1 1 2 3 2 1 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 1 3 4 5 6 7 8 8 9 9 9 13 16 17 13 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 1 2 4 7 11 15
6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 7 8 10 12 14 14 19 24 27 25 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 13
16 9 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 3 3 3 4 5 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 6 6 7 9 11 13 14 15 18 21 24 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 2 3 4 5 8 13
19 12 8 4 2 0 0 0 0 0 0 0 0 0 0 0 1 5 5 6 6 7 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 7 7 7 7 8 9 10 10 11 14 22 21 17 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 14
17 11 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 8 8 7 7 7 8 8 7 6 8 15 23 29 29 19 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 13
14 9 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 8 8 7 7 7 7 7 8 11 14 15 16 20 28 33 28 19 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 12
12 6 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 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 1 2 1 1 1 0 0 0 0 1 3 6 7 8 7 7 8 9 9 12 18 25 29 28 24 22 24 26 25 23 20 14 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 9 10
11 4 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 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 0 1 0 0 0 0 1 3 4 5 6 6 5 5 7 12 17 23 31 37 40 37 32 27 25 26 29 31 29 15 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5
11 4 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 2 1 1 2 2 3 3 2 1 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 2 2 3 9 16 24 31 36 37 38 37 32 28 25 25 26 24 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
11 5 0 0 0 0 0 0 1 2 1 0 1 1 1 2 2 2 3 3 2 1 1 3 4 3 2 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 3 4 5 8 12 17 22 26 32 33 34 34 33 28 22 17 14 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 4 1 1 2 2 1 1 4 2 1 0 1 1 1 1 2 2 3 4 4 3 2 4 4 3 2 2 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 2 3 3 2 0 1 3 5 8 11 11 13 17 21 26 31 36 40 44 35 25 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 6 3 1 3 3 4 5 12 9 7 5 3 0 0 0 1 3 4 4 3 3 3 3 3 2 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 3 2 3 4 5 6 7 7 8 10 15 21 28 36 43 48 55 49 38 26 15 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
16 13 9 8 7 7 7 10 15 14 10 6 3 1 0 0 1 3 4 3 2 2 4 6 7 6 5 4 5 5 3 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 3 2 1 1 1 0 1 2 3 3 5 13 24 33 46 58 60 54 55 59 61 59 51 23 10 3 1 2 7 16 17 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
24 24 21 17 13 15 12 9 12 11 8 4 2 1 0 0 0 1 1 1 1 5 13 16 17 17 17 15 14 11 7 3 1 3 4 4 1 3 4 3 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 4 2 0 0 0 0 0 0 0 0 0 1 6 17 31 48 65 69 53 50 60 76 94 108 79 53 34 23 23 31 42 39 14 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
28 31 30 25 18 14 11 9 8 8 8 6 4 3 2 1 1 1 1 0 2 8 19 22 24 27 31 30 25 19 13 8 6 9 10 9 4 4 6 8 9 4 2 1 3 6 12 6 1 0 0 0 0 0 0 0 0 0 1 3 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 21 46 63 46 43 51 67 87 117 112 100 87 78 77 45 27 21 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
22 26 25 21 13 13 10 7 4 5 7 6 4 3 2 2 2 3 3 2 6 14 19 21 26 34 42 43 40 35 27 17 9 6 6 7 6 5 6 8 12 7 5 8 17 32 55 34 11 1 0 0 0 0 0 0 1 2 4 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 28 26 32 45 50 45 53 64 67 62 50 35 20 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 13 14 12 7 5 4 4 5 5 3 2 2 1 1 1 1 1 4 4 7 11 14 19 31 45 57 63 65 63 56 46 32 23 16 10 7 10 8 7 10 13 18 25 39 65 90 65 29 4 0 0 0 0 0 0 0 1 3 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 13 25 42 47 26 15 8 4 5 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 3 4 6 9 6 4 2 2 3 2 2 2 2 2 2 2 1 2 4 5 7 9 14 25 43 63 81 95 96 88 78 59 44 30 21 18 28 23 13 6 3 3 8 22 50 74 61 30 2 0 0 0 0 0 0 0 3 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 23 32 31 14 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 2 6 5 4 4 5 5 3 3 3 3 2 1 0 0 2 3 4 5 7 7 11 19 35 75 127 135 123 114 96 81 72 66 54 43 31 19 8 2 1 1 3 12 25 24 13 0 0 0 0 0 0 0 0 2 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 20 29 24 11 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 1 4 8 10 9 8 8 7 5 4 4 3 1 0 1 1 3 4 8 15 22 22 27 35 49 82 144 156 142 128 99 66 42 30 32 29 25 20 12 9 7 7 7 5 2 1 0 0 0 0 0 0 0 0 0 1 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 27 25 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 3 7 8 10 9 8 7 5 4 3 1 0 1 1 2 3 10 21 29 28 25 31 49 82 134 141 134 121 106 87 78 77 77 66 53 39 26 16 19 14 12 14 12 5 1 0 0 0 0 0 0 0 0 0 2 6 8 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 16 13 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2 4 7 9 10 10 11 9 5 2 1 0 0 1 1 2 5 15 26 28 19 14 13 21 50 124 98 83 78 74 66 61 58 54 45 37 28 19 11 12 10 9 9 7 2 0 0 0 0 0 0 0 0 1 2 6 12 20 27 26 17 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 4 9 13 13 13 11 9 6 3 1 1 2 2 2 1 1 2 5 12 17 17 13 7 5 18 70 52 42 40 44 41 38 35 31 26 19 15 12 8 6 5 5 4 1 0 0 0 0 0 0 1 3 5 5 7 10 15 23 31 37 41 39 23 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
2 6 10 14 16 16 13 10 7 5 4 5 5 5 5 4 4 2 0 0 5 10 13 10 5 2 8 28 22 16 14 17 18 17 16 15 13 12 11 9 8 6 5 3 2 0 0 0 0 0 0 0 1 2 3 4 6 9 13 15 19 26 37 44 36 21 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0
4 7 12 14 13 12 10 8 6 6 6 6 7 9 9 7 6 4 2 1 1 2 3 3 1 2 6 7 3 2 2 5 8 8 7 7 6 6 6 6 6 5 5 3 1 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 14 20 30 43 45 33 13 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0
7 11 13 12 8 7 6 5 5 6 7 8 9 10 9 8 7 5 4 2 1 0 1 3 2 2 2 2 2 2 3 5 7 6 5 5 4 4 5 5 5 5 5 4 2 1 0 0 0 0 2 2 2 1 0 0 1 2 3 5 8 12 19 35 42 37 20 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 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0
5 10 13 13 11 7 5 6 8 10 12 12 11 10 9 7 5 4 2 1 1 2 4 7 6 4 3 3 4 5 6 7 6 5 5 4 4 4 5 6 7 6 5 4 3 1 0 0 0 0 6 6 5 2 1 1 1 0 0 1 4 9 14 30 38 37 26 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 1
1 3 5 7 8 5 5 9 13 14 15 15 15 13 11 9 6 4 3 3 3 6 10 12 10 7 5 5 5 6 6 5 4 3 2 2 2 4 5 7 9 8 5 3 3 2 1 0 1 4 6 10 16 22 5 1 1 0 0 1 4 10 19 32 41 44 38 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
0 0 1 1 2 6 14 18 18 16 15 14 14 14 12 10 7 6 5 6 7 10 13 12 11 9 7 5 5 5 5 3 1 0 1 1 0 1 2 2 1 3 4 4 4 2 1 0 0 1 2 10 26 47 16 4 0 0 0 0 2 9 23 37 47 51 47 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1
0 0 0 1 5 11 18 21 21 18 13 11 11 12 10 8 7 6 6 6 9 12 14 14 13 10 8 7 5 4 4 3 2 3 4 3 1 0 0 0 0 2 2 2 2 1 0 0 0 0 1 3 14 37 22 11 4 0 0 1 7 18 33 44 54 57 49 23 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 9 17 20 20 17 11 8 6 5 4 4 3 4 6 5 9 12 14 15 14 11 7 4 4 3 2 1 3 4 3 2 0 0 0 0 0 1 1 1 2 0 0 0 1 2 2 1 4 16 14 10 5 0 0 11 26 42 51 55 54 48 32 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1
0 0 0 1 5 11 13 14 14 12 9 6 4 1 1 0 1 3 6 7 9 11 12 13 13 10 6 5 4 3 1 0 1 0 0 0 0 0 0 0 0 1 2 3 2 2 1 1 2 4 3 1 0 0 1 2 2 0 3 20 36 45 50 53 46 32 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 3 2 2 2
0 0 0 0 2 5 5 4 4 4 4 3 2 0 0 0 0 2 6 8 10 12 12 10 10 7 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 1 4 5 3 2 1 1 2 4 2 0 0 0 4 4 2 1 4 8 12 15 23 31 30 21 11 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 1 3 5 5 4 2 2 2 2
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 15 15 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 1 0 0 1 6 26 27 16 12 9 4 1 1 3 8 10 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 2 3 3 1 0 0 0 0 0 0 0 1 2 5 6 4 3 2 2 2 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 32 43 43 46 39 18 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 2 3 4 6 6 3 1 1 0 1 5 7 4 2 0 0 0 0 2 3 3 3 4 5 4 3 2 2 2 2 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 6 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 28 55 80 80 58 30 12 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 2 6 9 11 9 7 5 4 3 4 7 8 6 2 1 0 0 1 2 3 5 5 4 3 2 2 2 2 2 3 4
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 45 84 97 94 79 50 23 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 9 7 7 8 10 13 20 24 23 17 12 8 6 3 1 1 2 4 4 4 3 3 3 3 3 3 4 4
0 0 0 1 2 3 3 1 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 6 22 54 79 96 104 96 70 34 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 8 6 7 9 10 14 19 22 23 23 17 14 12 8 3 1 3 4 5 4 4 3 4 3 3 4 5 5
0 0 0 2 4 6 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 32 57 77 88 87 65 34 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 7 5 7 10 11 13 14 14 14 17 13 10 8 6 4 4 4 5 5 5 4 3 3 3 3 5 6 6
0 1 2 7 10 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 27 40 56 62 57 40 12 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 7 4 7 14 15 18 22 24 17 15 11 6 3 3 4 5 5 5 5 4 3 2 3 3 4 6 6 7
1 1 2 7 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 20 38 54 56 22 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 11 6 2 2 7 12 19 25 28 19 14 9 5 3 3 4 4 4 5 5 4 3 3 4 4 5 6 6 6
0 0 1 3 5 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 30 47 31 16 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 15 6 2 1 3 9 16 21 21 15 11 7 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5
0 0 0 3 7 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 19 16 11 7 6 8 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 9 15 20 9 2 1 4 10 13 14 12 8 6 3 2 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5
0 0 0 2 5 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 12 17 19 24 27 26 19 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 1 2 4 8 11 14 9 4 1 2 5 9 12 12 8 4 2 1 1 2 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4
0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 20 27 34 37 34 22 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 6 9 11 13 16 8 3 1 3 9 13 14 11 6 3 2 2 2 2 2 3 3 3 3 3 3 4 4 3 3 4 4 4 3
0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 16 23 28 31 31 25 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 9 12 16 17 17 15 15 10 4 2 5 14 17 14 8 5 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
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 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 18 22 26 25 22 17 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 17 22 24 24 22 18 14 12 8 5 4 14 18 18 14 9 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 20 24 24 22 17 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 16 20 22 20 17 15 15 14 10 7 10 17 19 17 14 10 7 5 4 4 3 3 3 3 3 3 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 2 6 12 19 22 22 18 12 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 18 21 20 18 17 18 18 14 10 11 12 12 12 12 10 7 6 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 11 11 10 7 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 15 19 21 21 20 19 19 19 16 11 9 8 8 9 9 8 7 6 5 4 3 3 3 3 3 3 2 2 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 1 0 0 1 2 4 7 9 9 7 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 14 20 24 24 23 22 20 17 14 11 9 8 7 7 7 7 7 6 5 4 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 3 4 6 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 14 21 27 30 29 27 25 23 17 13 10 8 7 7 7 7 6 6 5 5 4 3 3 3 2 2 2 1 1 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 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 16 22 26 29 29 29 28 25 20 16 12 9 8 7 7 6 6 5 4 3 3 3 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 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 2 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 3 7 12 16 20 23 24 26 27 26 23 18 14 10 9 7 6 6 6 5 4 3 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 8 13 16 19 20 22 25 25 23 19 15 11 9 7 6 5 5 5 4 3 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 12 15 18 20 21 22 21 19 16 12 9 7 6 5 4 4 4 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 16 17 17 17 16 15 14 11 9 7 5 4 4 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 12 14 12 11 10 9 8 7 6 5 3 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 1 3 6 8 9 9 8 7 6 5 4 3 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 0 0 0 0 0 0 0 0 1 2 4 6 6 5 4 4 3 3 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