Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 8 8 7 6 7 8 8 9 10 10 9 9 9 9 9 9 9 10 9 10 10 12 11 9 8 9 11 10 9 9 10 9 8 8 9 10 9 8 8 8 7 7 7 7 8 9 9 8 8 9 9 9 9 10 10 9 8 6 6 7 8 8 8 9 8 8 7 8 9 9 9 8 9 9 8 7 7 7 8 8 8 8 8 8 10 10 11 11 10 9 9 9 10 10 9 7 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 10 10 9 10 9 8 9 9 7 5 5 8 9 10 8 9 9 10 11 11 11 12 11 9 8 7 7 7 8 8 10 11 12 11 9 9 9 8 8 8 9 9 9 10 12 nan
nan 8 7 7 6 7 8 8 7 7 8 9 10 10 10 9 9 9 9 9 8 9 10 10 10 12 12 10 8 8 9 12 10 8 8 8 8 8 9 10 10 11 10 10 9 7 7 7 8 9 9 9 9 9 8 8 9 9 9 10 9 8 7 6 7 7 7 8 9 9 8 8 8 8 9 9 9 9 8 8 8 7 8 9 9 8 8 8 8 10 10 11 11 10 9 9 9 10 11 11 9 6 5 6 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 9 7 4 5 7 8 8 8 8 9 9 10 10 10 11 11 10 9 7 7 7 7 8 8 9 8 7 8 8 9 9 10 10 10 10 10 11 11 nan
nan 8 8 7 7 6 8 8 6 6 7 9 10 12 11 11 10 10 10 10 8 8 9 10 11 13 12 10 8 8 10 9 9 8 8 7 7 8 9 10 11 12 12 11 10 8 7 8 9 10 9 9 10 9 8 8 8 9 9 9 8 8 7 7 6 7 8 8 9 9 8 7 7 7 8 9 9 9 8 8 8 8 8 9 9 8 8 8 8 9 10 10 11 11 10 9 8 10 12 12 11 8 6 6 7 7 8 8 8 8 9 10 8 7 7 8 8 8 7 7 8 9 9 9 10 10 9 9 6 4 6 7 6 6 7 8 9 10 10 11 11 11 11 11 10 8 8 8 8 9 9 9 8 8 8 8 9 10 11 11 10 10 9 9 9 nan
nan 9 8 8 7 7 7 7 6 6 7 8 9 11 11 11 12 11 11 10 9 9 9 9 11 12 11 9 7 7 8 8 8 8 8 6 6 8 9 9 10 11 13 13 12 11 10 10 10 10 10 10 10 9 9 8 8 7 8 8 8 7 7 7 6 6 7 8 9 9 8 7 6 6 6 8 8 8 7 7 8 8 8 8 8 9 9 9 9 10 10 9 10 10 10 9 8 8 10 10 10 9 8 8 7 8 8 9 9 10 10 10 8 8 7 7 8 8 8 7 7 7 9 10 9 8 8 9 7 7 7 6 5 5 7 9 10 10 10 11 11 11 10 10 10 9 10 10 9 9 9 9 9 10 10 10 9 9 10 11 11 10 9 8 7 nan
nan 9 9 9 9 8 7 7 6 7 7 8 9 9 10 11 11 12 11 10 9 8 9 10 11 11 9 7 7 6 7 8 8 8 7 5 6 8 9 8 9 10 12 14 13 13 12 11 11 10 11 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 6 8 9 9 8 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 10 11 10 10 10 10 9 9 9 8 7 7 7 8 9 9 8 8 8 9 10 11 10 10 9 8 9 8 7 7 8 9 8 8 7 8 9 10 10 9 8 10 10 11 9 8 6 6 8 10 9 9 9 10 12 10 9 8 9 10 11 11 10 10 11 10 11 11 11 10 9 9 9 9 10 10 9 9 8 nan
nan 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 10 11 11 10 9 8 9 10 10 10 8 7 7 7 7 8 8 8 6 5 6 8 9 9 9 9 11 13 13 12 11 11 11 10 10 10 10 10 10 9 7 7 8 7 7 7 7 7 7 7 8 9 9 9 8 8 7 7 6 6 7 7 8 7 8 8 8 9 10 10 10 10 11 11 11 11 10 10 9 8 6 6 6 8 9 9 8 8 9 10 10 10 9 8 8 8 8 8 7 8 9 10 10 9 9 9 10 10 11 10 10 10 10 11 11 9 7 7 8 8 8 8 9 10 11 11 10 9 9 11 11 12 12 12 12 11 11 11 10 10 9 8 8 8 8 8 9 10 9 nan
nan 9 9 8 8 8 8 7 6 8 8 8 9 10 9 9 9 10 11 11 9 9 9 10 10 9 8 9 8 7 7 7 8 8 7 7 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 10 9 8 8 8 9 9 10 9 10 10 10 10 10 9 9 7 6 6 5 5 6 8 8 8 8 8 9 10 10 8 6 6 7 8 8 8 9 10 11 11 10 10 10 11 11 11 11 11 9 9 10 10 9 7 8 9 8 8 8 9 10 10 10 9 9 10 10 11 12 13 12 11 10 10 10 9 9 9 8 8 8 9 9 9 10 10 nan
nan 9 9 8 8 8 8 6 6 6 7 8 9 10 9 9 9 10 11 11 10 10 10 11 10 10 9 9 8 7 7 7 8 9 8 8 8 9 9 9 9 9 9 8 7 8 9 10 10 10 10 10 10 9 8 7 8 8 7 7 7 7 7 7 7 7 7 8 10 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 7 7 6 6 6 5 5 6 7 8 9 9 9 9 9 8 7 6 6 6 6 6 7 8 10 10 10 10 10 10 10 11 11 12 11 9 8 8 8 7 6 7 9 9 8 8 8 8 8 8 9 10 10 9 10 11 13 13 13 12 11 10 7 6 7 7 8 10 10 10 10 10 12 nan
nan 10 9 9 8 8 8 6 5 5 6 8 8 9 9 9 9 11 11 11 11 11 11 11 10 9 9 8 8 7 7 8 9 9 9 8 9 9 9 8 7 7 7 7 7 7 8 10 10 11 11 10 10 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 6 7 8 9 9 9 8 7 7 8 7 6 6 5 5 5 6 7 8 10 10 10 9 10 10 10 10 10 10 9 8 7 7 7 7 8 9 9 9 9 9 8 7 8 9 10 10 9 9 8 9 11 12 12 12 11 8 7 6 7 8 9 11 12 13 13 13 nan
nan 10 10 10 9 8 9 9 7 6 6 7 8 8 9 10 10 11 11 11 11 11 12 12 11 8 8 8 8 8 10 10 11 10 9 10 10 9 9 7 5 5 7 9 8 7 7 9 10 10 11 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 7 6 7 7 7 8 9 9 9 9 9 9 10 10 9 9 8 8 8 7 7 8 8 8 7 7 7 7 7 7 6 7 8 9 8 8 7 7 7 7 7 6 6 7 6 7 7 7 8 9 9 8 9 9 10 9 9 9 10 10 8 7 7 8 9 9 8 8 10 10 9 8 7 8 9 10 9 8 8 9 8 9 9 10 10 9 10 10 10 10 10 10 12 12 13 14 13 nan
nan 10 10 9 9 9 9 9 9 8 7 7 8 8 9 11 12 12 12 11 10 12 13 12 9 8 8 8 9 9 10 12 13 11 10 11 11 10 9 7 5 5 8 10 9 8 7 7 10 10 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 8 8 8 9 9 9 10 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 10 10 9 8 9 10 11 10 8 7 8 9 9 8 9 9 9 9 8 8 8 8 9 11 13 14 14 13 13 13 12 11 10 10 nan
nan 10 10 10 9 9 9 9 9 8 8 9 9 10 11 11 12 13 13 12 11 11 11 10 7 6 8 9 11 10 10 11 12 11 9 10 11 11 9 8 7 7 8 9 10 9 8 7 9 10 9 8 9 10 10 10 9 9 9 9 8 8 8 8 9 8 7 7 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 8 9 11 11 10 10 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 11 10 9 8 7 9 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 11 11 9 9 8 9 9 9 10 12 13 13 14 14 13 12 10 8 7 7 nan
nan 9 10 10 9 9 9 8 9 8 8 9 10 12 12 11 12 13 13 13 13 12 10 8 5 4 6 9 11 10 10 11 10 9 8 8 10 10 9 8 8 8 8 9 9 9 8 6 7 10 10 8 7 9 10 9 10 10 9 9 8 8 7 9 9 8 8 8 8 7 8 8 8 8 7 8 8 8 9 8 8 8 9 9 8 8 8 9 9 8 8 9 9 10 10 10 10 11 12 12 12 12 12 11 10 10 9 8 8 9 10 10 10 9 10 11 11 11 10 9 9 10 11 10 9 9 9 9 10 11 11 11 12 12 12 12 11 10 9 10 10 10 10 10 10 11 11 11 11 11 11 10 11 12 12 10 11 11 11 9 8 7 6 5 5 nan
nan 8 9 10 10 10 9 9 9 8 7 8 11 12 12 12 12 12 13 13 13 13 11 8 5 4 5 7 9 9 9 9 8 7 7 9 10 9 8 8 9 9 7 7 8 7 7 6 7 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 8 7 7 8 8 8 10 10 9 9 8 9 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 12 11 10 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 11 12 12 12 11 12 12 11 11 11 10 9 9 9 10 11 11 10 9 9 10 13 14 13 12 11 11 11 10 9 9 8 8 7 6 7 7 6 6 nan
nan 8 9 10 10 10 9 10 9 9 8 7 9 12 12 12 12 12 13 13 12 12 11 9 7 5 7 8 9 8 7 6 6 6 7 9 10 9 7 7 8 8 7 7 7 6 5 6 6 7 8 9 10 10 10 9 8 7 9 10 8 8 8 7 8 8 7 8 8 7 7 9 10 10 9 9 8 8 8 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 11 12 13 13 13 14 13 12 12 12 11 9 8 8 9 9 9 10 9 9 8 7 8 8 10 11 11 11 11 10 11 11 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 9 11 12 12 11 9 10 11 10 8 8 7 6 6 6 8 9 10 9 8 nan
nan 9 9 9 10 10 10 10 10 10 9 8 9 10 11 12 13 14 14 13 12 12 11 10 8 7 7 8 8 8 6 5 6 7 8 9 9 7 6 7 8 8 8 7 7 6 6 6 6 7 8 9 10 11 10 9 8 7 8 10 8 7 6 7 8 8 8 9 9 7 6 7 9 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 11 11 11 11 12 12 13 13 14 13 13 14 13 12 12 12 12 11 10 9 10 11 10 10 10 8 7 8 8 8 10 11 11 11 9 9 10 11 11 10 10 10 11 11 10 10 10 10 9 8 8 8 8 7 8 8 9 10 10 9 8 7 7 8 8 8 7 7 7 7 7 7 8 10 10 10 9 nan
nan 10 9 9 10 10 10 10 10 10 10 10 11 10 11 13 14 15 15 15 14 14 12 11 10 7 6 6 6 7 7 7 7 8 8 8 8 7 5 5 7 10 9 8 7 6 7 8 8 8 9 10 12 12 11 11 9 7 7 9 8 7 8 9 11 13 13 12 10 8 7 6 6 8 8 9 9 8 7 7 8 8 8 8 7 8 8 8 9 9 9 10 11 13 14 14 15 15 14 14 14 13 12 12 12 12 12 11 12 13 12 10 9 8 8 8 9 9 10 11 10 10 9 9 9 9 10 10 10 10 11 11 10 9 8 8 8 8 7 7 7 8 7 8 9 9 7 6 6 6 7 7 6 6 6 8 8 7 7 7 8 9 8 8 9 nan
nan 10 10 11 10 10 10 10 11 11 12 12 13 13 12 13 15 15 15 15 15 15 13 12 11 8 6 4 4 7 9 10 9 8 7 7 7 6 6 5 7 9 9 9 8 7 8 8 9 9 10 11 14 14 12 10 9 7 6 7 8 9 11 14 16 17 17 15 12 10 8 7 7 8 9 9 9 9 9 8 9 9 8 8 7 8 8 8 9 9 9 9 10 10 11 13 16 17 16 14 13 13 12 10 10 11 11 11 11 12 11 11 8 6 7 7 9 10 11 9 9 8 8 8 8 9 10 10 10 10 10 10 9 8 6 7 8 8 7 7 7 7 8 8 9 8 6 5 4 5 5 5 6 6 8 9 9 8 7 8 9 8 7 8 9 nan
nan 10 11 11 11 11 10 11 11 12 13 14 14 14 13 13 14 13 12 13 13 13 13 12 11 8 7 6 6 8 10 10 10 8 7 6 5 5 5 6 7 7 8 8 8 7 7 8 10 10 11 12 13 13 11 9 7 6 6 7 8 10 14 17 16 15 14 13 10 9 9 8 8 9 8 7 8 8 8 8 9 10 9 8 7 7 9 9 10 10 10 8 7 7 8 11 16 16 13 10 9 8 8 8 8 9 9 9 9 9 10 10 8 7 6 7 8 9 9 8 7 7 8 8 9 9 10 10 10 10 9 9 8 7 7 7 7 7 7 6 6 6 8 10 10 8 6 6 6 6 5 7 9 11 11 10 9 9 9 10 10 9 9 10 10 nan
nan 11 11 11 11 12 11 12 12 12 12 14 13 13 13 13 13 13 11 11 11 12 12 11 10 9 8 8 8 9 10 10 9 8 6 4 4 5 6 7 6 5 5 7 8 7 6 7 9 10 12 12 12 10 9 7 5 5 6 7 8 11 17 17 13 10 9 8 6 5 6 6 7 7 7 7 7 7 7 8 9 9 9 9 7 8 10 10 10 10 9 7 6 6 7 10 14 13 7 4 4 4 5 7 8 8 7 7 6 7 7 8 8 7 6 6 6 6 7 7 7 7 8 10 11 11 9 8 9 9 8 8 7 6 7 8 7 8 6 6 6 6 8 10 10 9 9 9 10 10 9 11 12 12 11 10 10 10 10 11 10 10 10 11 10 nan
nan 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 10 10 9 8 8 9 9 9 9 8 6 5 5 5 7 7 6 5 5 7 8 7 6 7 8 9 10 11 10 8 6 5 4 5 6 7 9 14 18 15 10 7 6 6 6 6 6 6 5 5 6 7 7 8 9 10 10 9 9 9 9 9 10 10 10 10 8 7 7 7 7 9 12 11 8 6 6 7 9 10 10 9 8 7 6 5 5 7 7 7 6 5 4 4 7 8 8 7 7 9 10 10 9 8 8 7 6 6 7 6 7 7 7 7 7 7 7 8 9 10 11 11 11 11 12 11 12 12 10 8 9 8 9 9 9 8 8 9 9 9 10 nan
nan 12 12 12 13 13 14 14 14 13 13 13 14 14 14 13 13 12 11 11 11 12 11 11 10 9 9 8 8 7 7 8 8 8 7 6 7 8 8 6 5 6 7 8 8 7 7 7 7 7 7 9 9 7 5 4 4 5 6 8 11 15 17 13 10 8 8 9 11 11 11 9 8 7 7 7 8 9 11 13 13 11 9 10 10 10 10 9 9 9 9 8 8 8 9 10 12 13 14 14 14 15 16 17 15 13 12 10 9 8 6 7 8 7 7 7 5 5 6 8 8 8 7 7 7 7 7 8 8 6 6 6 6 7 7 6 7 7 8 8 8 8 9 11 10 10 10 11 11 10 11 10 8 7 8 8 8 8 7 7 7 7 8 9 8 nan
nan 13 13 13 14 14 15 15 14 14 14 15 14 14 13 12 12 11 10 11 12 13 12 11 10 10 9 8 7 6 6 7 7 8 8 8 9 8 8 7 6 6 8 7 7 7 7 8 7 6 6 7 8 8 6 6 6 7 8 9 11 15 16 13 11 9 10 11 13 14 14 12 11 10 9 8 8 9 11 13 15 14 12 10 10 9 9 9 9 10 10 9 10 9 9 11 13 15 17 18 20 20 17 16 14 14 14 15 15 14 11 10 10 9 8 8 8 7 6 6 6 7 7 6 5 3 3 5 6 6 7 7 7 7 7 6 7 8 9 9 8 8 9 10 8 8 8 8 8 9 10 10 9 9 9 9 9 8 8 8 8 9 9 9 8 nan
nan 14 14 14 14 14 14 14 14 15 15 16 14 13 12 11 10 10 10 11 12 13 12 11 10 10 10 10 9 8 7 8 8 9 9 9 8 7 7 7 8 8 7 7 7 8 8 7 7 7 6 6 8 8 8 8 8 9 10 11 11 16 19 16 12 11 9 9 9 10 10 10 10 10 10 10 10 9 10 11 14 15 14 13 11 10 9 9 9 10 10 10 10 10 9 11 11 12 14 18 20 17 14 11 9 9 11 14 17 17 14 11 11 11 10 10 10 9 9 8 8 7 7 6 4 0 -1 1 3 6 7 8 8 8 7 7 7 7 8 8 9 10 11 10 9 7 7 6 7 7 8 8 9 10 10 10 9 7 8 9 10 10 10 10 9 nan
nan 14 14 15 14 14 14 14 15 15 16 15 13 11 12 11 10 10 10 11 11 12 12 11 10 10 11 11 10 9 9 10 10 9 9 9 8 6 6 8 9 8 7 7 8 9 9 9 8 7 8 8 8 8 8 9 10 11 11 11 11 16 17 14 11 9 7 5 4 4 5 5 4 4 7 10 11 10 10 11 11 11 13 14 12 11 10 11 11 11 10 10 10 10 11 12 12 12 11 12 12 10 8 8 7 7 7 9 11 14 13 11 10 9 10 10 9 10 12 15 14 11 12 10 9 5 1 -0 1 5 7 10 10 9 8 8 7 7 8 9 10 12 13 10 8 6 6 8 9 9 8 8 10 10 10 9 7 6 7 7 8 10 10 9 8 nan
nan 15 15 15 15 15 16 16 17 16 14 13 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 7 9 10 10 10 9 8 8 9 8 8 9 10 11 11 9 9 11 11 10 8 6 4 4 4 4 5 5 2 1 6 9 10 13 13 11 10 10 12 13 12 12 12 12 12 12 11 11 11 11 12 13 12 10 9 7 5 5 7 8 8 8 8 8 9 10 10 10 8 7 7 8 7 6 10 16 19 18 16 16 16 14 10 6 3 4 7 9 9 8 8 9 8 8 8 10 10 11 10 7 6 7 9 11 12 12 12 12 12 12 10 8 6 7 8 9 9 9 9 8 6 nan
nan 15 15 15 16 16 17 18 18 16 13 12 11 10 10 10 10 10 10 10 11 11 11 10 10 10 9 8 8 7 7 7 8 7 7 7 8 7 6 5 5 5 5 6 6 6 7 9 10 10 9 9 9 9 9 10 10 10 9 8 8 9 9 8 6 5 5 5 6 7 10 11 7 4 8 11 13 15 16 14 12 13 14 14 13 13 12 12 12 12 12 11 11 11 11 12 10 9 8 7 7 8 10 11 10 10 10 10 10 10 10 9 8 8 8 8 6 6 7 9 13 16 18 20 20 18 17 14 10 7 6 6 5 5 6 8 8 9 9 9 10 8 6 6 8 10 11 12 13 14 14 12 12 10 9 7 8 9 11 11 11 11 10 9 9 nan
nan 15 15 15 16 16 16 17 16 14 12 12 11 10 10 10 10 10 10 10 10 11 10 9 9 9 9 8 7 5 5 6 7 6 6 7 8 8 5 4 5 5 6 6 6 6 6 7 9 10 10 10 10 10 10 11 11 9 8 8 10 12 11 9 7 7 7 9 9 10 13 14 10 8 11 14 13 13 14 15 15 16 16 14 13 12 12 11 11 10 10 9 9 9 10 10 9 9 9 9 10 11 12 13 14 13 12 11 10 9 9 9 10 10 10 9 9 8 8 8 9 10 12 17 19 17 17 17 15 11 5 3 3 4 5 7 9 10 12 12 11 10 9 9 11 11 11 11 11 12 12 11 10 10 10 9 9 10 11 12 13 13 13 13 15 nan
nan 14 15 16 16 15 14 13 12 12 11 11 11 11 11 10 10 10 10 10 10 9 8 8 9 9 9 8 7 6 5 6 6 5 4 7 8 8 8 7 7 7 8 8 9 9 8 8 9 10 11 11 11 11 11 11 11 10 8 8 12 14 13 10 9 10 10 11 11 13 14 13 10 10 13 14 12 11 13 14 16 16 14 13 11 10 10 9 8 8 8 8 8 9 10 9 9 9 10 11 11 11 11 15 20 21 16 12 10 10 9 9 9 9 10 10 9 9 10 10 10 11 10 13 17 19 22 21 18 13 8 5 4 6 8 9 10 11 12 13 13 13 11 10 10 10 10 9 10 10 11 11 11 12 12 12 11 12 13 14 15 15 16 17 17 nan
nan 14 14 14 14 12 11 11 10 10 10 10 11 10 10 9 9 10 10 10 10 9 7 8 8 8 9 8 8 8 8 7 7 5 4 6 8 8 9 10 10 11 10 10 10 11 10 8 8 9 10 11 12 12 11 11 11 10 9 9 13 15 13 11 9 9 10 11 12 13 14 12 10 9 13 14 11 12 14 15 15 13 12 10 9 8 7 6 7 8 8 8 8 9 9 10 10 10 10 10 11 10 11 16 23 28 25 18 15 13 10 9 8 8 9 9 9 10 10 11 11 12 12 16 23 31 33 28 24 19 15 13 11 10 11 12 12 11 10 10 11 13 12 11 9 9 9 10 11 12 13 12 13 15 14 15 15 15 15 16 15 15 16 15 14 nan
nan 13 13 13 12 11 10 10 10 10 10 10 10 10 9 8 9 10 10 10 9 8 8 7 8 8 8 8 8 8 9 9 9 7 6 7 9 9 9 10 11 12 12 10 10 11 11 11 10 10 11 12 13 13 11 10 10 9 8 9 11 12 12 11 9 9 8 9 11 12 12 10 8 8 12 13 12 14 16 16 13 10 9 8 8 7 7 7 8 9 9 10 10 10 10 10 10 10 11 11 10 9 11 13 16 22 26 25 21 16 12 10 9 9 9 9 10 11 11 12 12 11 12 16 23 29 26 22 23 21 18 17 16 14 12 11 12 11 9 9 10 11 11 11 11 10 9 7 7 10 11 12 13 14 15 16 16 16 16 16 15 14 13 12 11 nan
nan 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 7 8 9 9 9 9 10 10 9 9 10 10 10 11 10 9 9 10 12 13 14 14 14 13 12 11 9 8 8 8 7 6 7 9 10 9 8 8 9 10 11 9 5 5 8 12 12 12 14 15 14 12 9 8 8 8 8 7 8 9 10 10 11 12 12 12 11 10 11 11 10 9 11 12 12 9 10 16 20 20 16 11 9 9 9 10 10 11 11 11 11 11 11 10 11 11 12 8 9 11 13 13 13 14 12 11 10 10 9 9 10 9 9 9 9 9 9 8 3 1 3 6 8 11 13 15 15 14 14 14 14 14 13 12 11 10 nan
nan 10 9 9 10 10 11 11 10 10 10 10 10 9 9 9 9 8 9 9 8 9 8 7 7 8 8 8 8 8 8 9 9 9 11 13 12 10 9 10 9 9 9 10 9 9 9 11 14 18 18 16 14 12 9 8 7 7 7 7 5 5 8 9 9 8 8 9 10 11 8 4 3 6 9 10 11 12 12 12 11 9 7 7 8 7 8 10 11 11 11 13 14 14 13 11 10 10 10 10 11 14 15 14 8 5 7 12 16 13 9 8 9 10 10 10 10 10 10 10 10 10 9 8 8 6 1 -1 3 6 7 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 8 7 4 4 5 7 10 13 14 13 13 12 11 12 12 11 11 11 11 nan
nan 10 9 9 10 11 11 11 10 11 10 10 10 9 9 9 8 9 9 9 8 9 9 8 8 8 8 9 9 8 9 10 10 9 11 13 13 11 10 11 11 10 10 10 10 11 12 12 14 18 18 16 14 11 9 8 8 7 8 7 7 7 9 9 8 8 9 9 10 10 7 4 4 5 6 7 8 9 9 9 8 8 8 8 7 7 9 12 15 14 13 15 16 15 13 12 10 9 9 9 12 15 15 13 7 4 5 9 12 11 10 9 10 10 10 11 10 9 9 10 9 9 8 7 6 2 1 1 3 6 5 5 6 7 8 9 9 9 9 10 10 10 10 9 8 9 12 14 15 14 10 8 8 9 10 9 8 9 10 12 12 11 10 10 10 nan
nan 10 9 10 10 11 11 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 9 10 11 10 10 12 13 13 11 11 12 12 12 12 12 12 13 14 14 15 16 17 16 14 11 9 9 9 10 10 9 9 9 9 8 8 8 8 9 11 9 4 1 3 5 5 6 7 8 8 8 8 9 9 11 9 8 8 11 14 15 14 15 17 16 14 13 11 10 9 10 15 19 18 11 6 5 6 10 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 7 4 3 3 8 7 2 4 7 9 10 11 12 13 13 13 11 10 9 9 11 15 18 20 21 20 15 8 4 4 6 6 7 8 10 11 12 10 9 9 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 11 12 12 11 10 9 10 11 11 12 13 13 13 13 13 13 14 14 14 14 15 15 15 16 16 16 14 14 12 11 11 13 13 12 12 11 10 10 10 8 7 8 10 12 11 6 0 2 5 6 6 7 8 8 8 9 11 13 15 15 11 9 9 11 13 13 14 14 14 13 14 15 14 13 15 21 22 17 9 5 4 6 10 14 14 12 11 10 10 10 10 11 11 11 10 10 9 10 10 10 9 8 6 8 5 2 3 7 11 10 11 13 16 14 11 7 5 4 6 13 19 21 20 19 17 13 7 3 4 6 6 8 9 10 10 9 8 7 8 7 nan
nan 10 11 10 10 11 10 10 11 10 9 9 9 9 9 9 9 9 10 11 10 9 10 10 11 13 13 13 12 10 10 11 12 12 11 12 13 13 13 14 14 14 15 15 15 15 16 17 16 15 14 14 14 14 13 12 15 16 14 12 10 9 11 12 9 8 8 12 15 15 12 7 6 7 7 7 7 8 9 9 9 10 11 14 15 13 11 9 10 11 11 11 10 9 10 13 15 18 23 28 25 19 12 7 5 5 5 9 14 16 14 12 11 10 11 12 13 13 13 12 11 11 11 12 12 11 10 10 9 7 7 8 9 9 8 10 12 14 12 9 6 6 8 10 14 18 19 18 17 14 9 4 5 8 8 8 8 9 8 8 6 5 6 7 7 nan
nan 11 11 11 11 11 11 11 11 10 9 7 9 10 10 9 10 10 10 11 11 10 10 10 12 13 13 11 11 11 11 12 13 12 11 11 12 11 13 14 15 14 14 15 14 14 16 16 13 11 11 12 13 14 14 12 14 16 14 13 10 8 11 13 10 9 10 14 17 16 15 15 15 11 8 8 7 8 8 9 9 8 7 6 8 10 10 9 9 10 10 9 8 8 7 7 9 16 27 30 22 13 8 6 6 5 5 7 11 13 13 12 12 12 13 14 14 14 14 13 11 11 11 12 11 11 11 10 10 10 10 10 10 10 9 10 11 11 11 10 10 12 14 15 16 14 14 14 15 13 10 7 8 11 11 10 9 9 8 8 7 8 8 8 8 nan
nan 12 12 12 12 12 11 10 10 10 9 7 9 10 10 9 10 10 11 11 11 11 10 11 11 12 12 11 10 11 12 13 13 11 11 11 10 9 11 14 15 14 13 12 13 14 15 14 10 8 8 10 11 13 12 12 13 14 13 11 9 6 9 13 12 10 11 12 13 12 12 15 19 15 9 6 8 8 8 8 8 6 5 4 6 8 9 9 9 10 10 10 9 8 6 5 7 12 17 16 14 10 7 6 6 6 6 6 8 9 9 10 11 13 14 14 14 14 14 14 13 11 10 10 10 8 8 9 10 11 11 10 10 10 10 11 11 12 12 13 13 14 15 15 15 14 13 13 13 12 13 13 14 13 12 12 11 10 9 9 10 10 9 8 8 nan
nan 13 12 12 12 11 10 10 11 11 9 9 9 10 9 9 9 10 11 11 12 12 12 12 11 10 11 11 12 13 14 13 13 12 11 10 9 9 10 13 13 14 13 11 11 11 12 11 8 7 7 9 10 11 11 11 11 11 11 11 8 5 6 10 10 10 9 9 9 8 8 11 17 15 8 6 7 8 9 10 10 9 9 9 10 10 10 10 11 11 11 11 10 9 10 12 14 12 9 7 7 8 7 7 7 7 6 6 6 7 6 9 11 12 13 13 13 15 18 19 16 12 12 11 10 7 6 10 11 12 12 11 10 11 11 12 13 14 14 14 14 14 14 14 14 13 13 13 13 13 14 15 15 13 12 11 11 10 9 8 8 8 9 9 9 nan
nan 12 11 10 10 11 11 10 11 10 10 9 9 9 10 9 8 10 11 12 12 12 13 13 12 11 11 12 13 13 14 14 13 12 10 9 9 9 10 12 12 12 13 11 9 9 9 9 8 8 8 9 10 10 9 10 10 9 9 11 12 9 6 6 9 10 9 8 7 7 7 8 11 11 8 7 8 8 9 10 12 13 14 13 13 13 13 12 12 12 11 11 11 10 12 16 18 12 7 5 6 7 7 8 7 6 7 7 7 6 6 7 10 12 13 12 14 18 22 22 17 13 12 11 10 8 9 12 13 12 11 11 12 13 13 13 13 14 14 14 14 13 14 13 12 12 13 13 13 12 12 12 11 11 10 10 10 10 9 9 9 9 9 10 10 nan
nan 12 11 10 10 11 11 10 10 10 10 9 9 9 9 9 9 10 12 13 12 12 12 13 13 13 13 13 14 13 14 13 12 12 9 7 7 10 12 12 11 11 11 9 9 8 8 9 9 9 8 9 10 10 9 9 10 9 7 9 14 15 10 5 6 10 11 11 10 9 8 8 7 7 6 7 8 9 10 12 15 15 14 13 13 12 12 12 12 12 10 10 10 10 11 14 14 11 8 6 7 7 8 8 8 7 7 7 7 7 6 5 9 11 14 17 20 20 18 15 12 10 9 8 9 9 11 13 12 11 11 12 13 13 12 12 12 12 13 12 12 13 13 13 11 12 13 12 11 11 10 9 10 10 9 10 10 11 10 11 11 10 10 11 12 nan
nan 11 11 11 10 10 9 9 9 10 10 9 9 9 8 8 8 9 11 13 13 12 12 12 13 13 13 13 13 13 13 12 11 11 9 7 7 10 11 11 10 10 9 9 8 8 8 9 9 9 8 9 10 10 10 11 11 9 8 8 11 16 15 9 4 6 11 13 12 10 9 8 6 4 3 5 8 8 10 13 15 13 11 9 9 8 8 9 9 9 9 9 9 10 11 14 14 12 9 7 7 8 8 8 8 8 8 8 8 8 6 5 7 11 16 20 20 15 10 6 5 6 7 7 9 10 11 12 11 11 12 12 11 12 11 11 11 11 11 11 12 12 12 11 11 12 12 11 11 10 9 9 9 10 11 11 10 10 10 11 12 12 11 11 12 nan
nan 11 11 10 10 9 9 8 9 10 10 9 8 8 7 7 8 9 11 11 12 13 12 12 13 12 13 13 12 12 11 10 9 9 9 8 8 10 10 10 9 9 9 9 9 8 8 9 9 9 8 8 9 10 10 12 13 11 9 6 4 9 15 15 10 9 12 13 12 11 9 8 7 4 -1 -0 6 9 12 14 13 10 7 6 5 6 6 7 7 8 9 10 10 12 16 19 19 15 10 8 7 7 8 9 9 8 8 8 8 9 9 9 10 14 15 14 11 7 4 4 4 5 6 7 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 10 10 9 8 9 9 10 11 10 9 8 9 10 11 11 11 11 11 nan
nan 12 10 10 9 8 8 8 9 9 10 10 9 8 8 8 8 9 11 12 12 13 13 13 13 11 10 11 11 11 11 10 9 9 10 9 8 9 10 10 11 10 9 9 10 9 9 9 10 10 9 8 8 9 9 11 13 12 10 7 1 -1 5 13 17 18 18 14 11 9 8 7 7 7 2 1 8 13 15 15 10 7 5 5 6 7 8 8 9 10 10 11 13 15 19 20 19 16 11 8 8 9 9 9 9 9 9 9 8 8 10 10 14 16 12 9 5 4 5 5 5 7 6 6 6 7 8 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 8 9 10 9 8 7 7 9 10 10 10 10 10 10 nan
nan 12 11 9 8 9 9 9 10 11 11 10 9 9 9 9 9 9 11 12 12 12 12 12 12 10 9 10 10 10 10 10 9 10 10 10 9 8 9 10 11 10 9 9 11 11 10 10 10 10 10 9 8 8 8 9 11 12 11 9 3 -1 -1 5 15 24 25 19 13 8 7 7 9 11 11 12 15 17 15 12 8 6 7 8 9 11 11 12 13 14 14 15 16 18 20 20 17 14 11 10 10 10 10 10 10 10 10 10 6 4 7 10 13 13 9 6 4 5 6 6 6 7 7 6 6 7 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 12 11 10 10 9 nan
nan 11 11 10 9 10 11 10 11 10 11 10 9 9 9 9 9 10 11 11 11 10 10 11 11 10 10 9 10 10 9 10 9 9 10 10 9 7 6 8 10 9 9 9 10 11 10 10 10 11 11 10 8 8 8 8 9 10 11 10 7 3 -0 -1 5 21 30 28 21 13 11 13 15 17 18 18 18 16 12 8 9 12 13 12 12 13 14 15 16 15 15 17 19 22 23 19 15 12 11 11 11 11 11 12 11 11 11 10 5 2 6 9 11 9 7 5 5 6 6 6 6 7 7 6 7 7 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 8 9 10 11 12 13 13 13 13 12 11 9 8 9 nan
nan 11 10 10 10 11 11 10 9 9 9 10 10 9 9 9 10 10 11 11 11 10 9 10 9 10 10 10 10 10 8 9 9 10 10 11 8 6 5 6 8 9 8 7 7 9 8 9 9 10 10 10 9 8 7 7 7 8 9 9 8 5 1 -4 -4 10 25 28 26 23 21 20 20 19 19 17 14 11 7 6 12 18 20 18 16 16 17 17 18 18 19 21 23 23 21 16 12 11 10 10 11 12 12 12 12 12 10 9 7 7 8 11 11 9 8 6 7 7 6 6 7 7 6 6 7 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 8 7 7 6 7 9 11 13 14 14 14 13 13 13 12 11 10 9 10 11 nan
nan 9 10 11 12 12 11 9 8 9 9 10 11 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 8 10 11 11 11 10 8 7 7 8 8 7 7 7 7 7 7 8 9 9 9 9 8 7 6 7 7 8 9 8 7 5 -2 -5 1 9 16 21 24 23 22 20 18 15 13 10 6 1 1 8 17 23 21 16 16 16 19 22 25 27 26 22 17 14 11 11 10 10 10 10 10 11 11 10 10 10 11 12 11 10 11 10 9 9 8 7 6 6 6 7 7 7 6 7 8 9 9 10 10 10 10 10 10 10 10 9 9 10 10 9 10 9 9 8 7 7 7 9 10 12 14 14 14 14 13 13 12 12 11 11 11 12 14 14 nan
nan 9 11 12 12 11 10 9 8 9 10 11 11 9 9 9 9 10 10 9 9 9 10 10 10 9 10 10 10 10 9 8 9 11 11 10 10 10 9 9 8 8 8 8 7 8 8 8 8 8 8 8 9 8 8 7 7 8 8 8 8 8 7 3 -4 -7 -5 1 8 11 12 13 16 16 13 10 8 5 2 1 5 11 15 16 14 15 16 20 23 23 22 19 14 11 9 8 8 7 7 8 7 6 6 5 6 6 9 14 18 16 11 8 8 7 7 7 5 5 6 7 7 6 6 6 8 8 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 8 7 7 9 11 12 13 13 13 13 12 12 12 12 13 13 12 12 14 16 16 16 nan
nan 9 11 11 11 9 9 10 9 9 10 11 10 8 8 8 8 9 9 9 8 8 9 10 9 9 10 10 11 10 8 7 8 9 10 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 9 9 9 8 8 8 8 6 0 -6 -8 -7 -4 -1 1 5 9 13 12 9 7 6 8 9 9 7 6 12 18 22 20 16 15 13 11 9 7 6 6 6 6 6 6 4 4 4 4 5 6 6 10 18 23 19 12 7 7 7 7 5 4 5 6 7 6 6 7 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 10 9 8 8 10 12 13 14 13 12 12 11 11 11 11 12 13 12 12 12 14 14 14 14 nan
nan 10 11 11 10 9 9 10 10 9 10 10 7 7 7 7 8 9 9 9 8 7 8 9 10 8 9 10 10 9 9 8 7 8 8 8 8 9 9 10 10 9 10 10 10 11 11 11 12 11 11 10 10 10 10 9 9 9 10 10 10 9 9 7 5 2 0 -2 -2 1 3 5 6 6 6 4 2 4 7 10 11 10 13 18 19 19 15 9 6 5 7 7 6 5 3 4 8 9 10 10 10 10 8 7 7 8 12 19 22 17 9 6 8 9 7 5 4 6 7 6 7 7 9 9 10 10 10 11 10 10 10 10 9 9 9 10 9 10 10 9 9 10 10 10 12 13 14 13 12 12 11 11 10 11 11 11 11 11 11 11 12 12 12 11 11 nan
nan 11 11 11 10 10 10 10 10 10 10 9 7 6 7 7 8 8 9 9 8 7 7 8 9 10 9 9 10 10 9 8 8 8 8 8 9 9 9 9 10 11 11 11 12 12 12 12 13 13 12 11 11 11 11 10 10 11 11 12 12 11 10 9 8 7 6 6 6 7 8 8 7 5 3 2 -0 -0 3 8 12 17 22 19 13 7 5 4 2 3 7 8 6 7 11 14 16 17 15 13 11 11 11 9 8 11 15 17 15 8 4 6 10 10 8 7 6 6 6 6 7 8 10 10 9 9 10 10 10 10 10 10 9 9 10 9 9 9 10 10 10 10 10 11 12 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 11 11 10 10 10 9 10 10 10 9 7 6 7 10 10 9 9 10 9 8 8 8 9 10 9 9 9 10 9 8 9 9 8 9 9 10 10 10 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 12 11 11 10 9 8 8 8 9 10 10 10 10 9 8 7 6 4 5 8 12 16 16 12 7 4 3 3 3 5 10 10 6 8 14 19 17 13 10 7 4 5 8 10 12 14 13 11 8 4 4 7 9 10 8 7 7 6 6 7 7 8 9 9 9 9 8 10 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 10 11 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 11 11 12 12 nan
nan 11 11 10 10 9 9 8 9 10 10 9 7 7 8 10 10 9 9 11 11 9 8 8 8 8 8 8 9 10 9 8 8 8 9 10 10 10 11 11 11 11 12 12 13 13 13 12 13 13 12 12 13 13 13 14 15 14 14 12 10 9 9 9 9 9 10 9 10 10 10 11 11 11 10 9 10 10 10 9 9 9 9 8 7 6 6 6 6 7 9 9 6 4 5 5 3 1 1 2 3 4 6 9 10 11 10 9 7 6 6 7 8 8 8 7 7 7 7 8 8 9 10 11 11 10 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 12 13 13 nan
nan 11 11 11 10 9 8 8 8 9 10 9 8 9 10 9 7 7 9 11 12 10 9 8 8 8 9 9 9 11 11 9 8 8 9 9 10 11 12 12 12 11 11 10 11 12 12 12 12 12 12 12 13 13 14 15 15 14 11 10 9 8 9 10 11 12 12 13 14 14 12 12 11 11 10 9 10 10 10 10 9 9 10 11 11 9 9 9 9 8 7 7 5 1 -1 -1 -1 -1 -0 2 4 5 6 6 7 7 8 8 9 8 8 8 8 8 7 8 8 8 9 10 11 12 14 14 15 14 11 9 9 10 10 9 10 9 9 9 10 10 9 9 10 10 9 9 10 10 10 10 10 10 10 11 11 10 11 12 12 11 12 12 11 11 13 13 11 nan
nan 12 12 11 10 9 8 7 8 9 10 9 9 10 11 9 6 7 8 10 11 11 9 9 9 9 11 15 17 18 17 16 15 13 12 11 11 11 15 17 17 15 14 11 9 10 11 12 12 13 13 13 13 14 15 15 13 10 9 8 9 10 13 17 20 19 18 21 22 21 17 12 10 10 11 11 12 12 11 10 9 8 7 8 13 17 16 13 10 8 6 6 4 3 2 2 2 2 3 4 5 6 6 5 6 7 8 9 9 9 10 10 10 10 9 9 9 9 10 11 12 13 13 13 13 12 11 10 9 9 9 10 10 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 12 11 11 12 12 11 13 13 12 12 nan
nan 11 11 10 10 9 8 8 10 10 10 9 9 11 11 10 8 8 9 10 11 11 10 10 9 5 5 11 19 27 29 28 26 24 22 17 13 9 14 20 22 22 23 21 17 15 13 13 15 16 15 16 16 16 16 15 12 10 9 9 11 15 23 30 32 25 22 26 26 23 18 14 14 15 16 17 17 18 20 18 14 10 4 0 7 18 20 14 10 7 7 6 5 4 4 4 5 5 6 6 7 7 7 7 8 9 9 9 9 9 10 11 11 11 12 11 10 10 10 10 11 11 11 11 11 10 10 10 9 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 12 11 12 13 13 12 12 12 12 12 nan
nan 11 11 11 10 9 8 9 11 11 9 9 10 11 11 11 10 9 9 10 11 11 11 11 9 2 -4 -4 1 14 26 29 28 30 31 26 15 0 -1 12 18 22 23 25 24 22 17 17 22 24 21 18 16 16 16 15 15 18 19 18 19 26 35 37 32 23 20 21 21 19 17 17 19 23 25 22 19 20 25 30 30 23 12 2 1 11 18 15 9 8 8 7 6 6 7 7 7 7 9 8 8 8 8 10 10 10 10 10 10 9 10 10 11 11 12 12 10 10 11 10 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 11 10 10 10 11 10 10 10 10 10 10 11 11 10 10 10 10 10 11 12 12 12 12 13 13 12 12 12 12 nan
nan 11 11 11 10 9 9 10 11 11 10 10 10 11 11 12 11 10 9 10 11 11 11 10 8 2 -5 -12 -15 -9 6 15 17 21 29 27 16 -1 -8 2 9 13 15 17 22 24 20 18 25 29 28 23 17 14 13 13 14 23 33 34 35 37 36 30 23 16 14 14 15 15 14 14 17 18 20 18 15 16 20 27 31 27 19 7 4 11 18 17 11 9 8 8 7 7 8 8 9 9 10 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 11 12 11 10 10 10 11 11 11 11 10 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 12 12 12 12 12 13 13 12 12 12 12 nan
nan 11 12 11 10 9 9 10 11 12 12 11 11 11 11 12 11 10 11 11 11 10 9 9 8 5 0 -5 -11 -17 -12 -2 4 10 17 20 16 8 4 6 9 11 12 15 18 19 16 14 19 23 25 24 21 16 11 8 5 15 32 37 35 31 25 19 15 13 11 11 11 11 11 10 9 9 9 9 10 11 13 15 14 11 7 6 11 15 16 14 11 9 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 12 12 11 11 11 10 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 12 nan
nan 11 11 11 10 10 11 12 12 12 13 12 11 12 12 12 12 11 11 11 11 11 10 9 8 8 6 4 0 -7 -13 -12 -7 -1 4 9 11 13 15 15 14 13 13 15 16 16 15 14 13 13 15 18 22 22 15 5 -1 3 14 20 21 18 16 14 12 11 11 10 10 9 7 7 7 7 6 7 7 7 8 6 3 -0 -2 6 14 17 14 11 10 9 8 8 8 9 10 10 11 11 11 11 11 12 12 11 11 12 12 12 11 11 10 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 9 10 10 10 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 12 12 11 11 12 12 13 13 13 12 nan
nan 11 11 12 12 12 13 12 11 11 11 11 11 12 13 12 12 11 10 11 11 12 11 11 10 9 9 8 7 5 -0 -6 -9 -10 -6 1 8 14 16 17 16 16 15 16 17 18 19 20 18 15 13 15 22 28 27 16 3 -0 1 4 8 12 15 14 12 10 10 9 9 8 7 7 8 8 8 9 8 8 7 3 0 -2 -1 7 17 23 18 12 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 9 9 8 9 10 10 10 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 8 8 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 nan
nan 12 13 13 13 14 13 12 11 10 9 10 12 12 12 11 9 9 10 11 11 12 12 11 10 10 10 10 9 9 7 3 -1 -7 -8 -3 6 13 15 18 17 17 16 15 17 19 20 22 23 23 21 19 23 29 33 30 20 12 7 6 6 8 13 15 13 10 10 9 8 8 8 9 9 9 9 9 10 10 7 5 3 1 1 7 16 24 21 12 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 10 9 8 8 8 10 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 8 10 13 13 12 10 10 11 11 11 11 11 12 12 13 13 12 11 nan
nan 13 13 13 13 13 11 11 11 11 10 9 11 11 10 10 9 10 10 11 10 11 10 10 11 11 10 10 10 10 9 8 5 1 -4 -3 2 7 12 16 17 16 15 14 15 17 19 22 23 23 23 22 22 23 25 29 31 30 27 23 13 8 9 12 12 11 10 10 9 9 9 9 10 10 9 9 8 7 7 7 6 5 5 8 13 16 15 11 9 9 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 9 8 8 10 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 11 10 10 11 11 11 11 11 11 12 13 13 12 12 11 nan
nan 12 11 11 11 10 10 10 11 10 10 10 9 10 10 10 10 11 10 11 11 10 10 10 11 11 11 11 10 10 11 10 9 7 4 0 -1 1 4 8 10 11 10 9 9 11 15 18 20 20 20 20 18 17 17 20 25 28 29 24 15 9 8 9 10 11 11 11 11 10 10 10 10 10 9 8 5 2 2 5 6 9 9 8 9 9 8 8 9 9 10 10 9 9 9 10 10 10 10 10 9 9 10 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 10 10 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 10 10 11 10 10 11 11 11 11 11 11 12 12 12 11 11 11 nan
nan 11 10 10 11 10 10 11 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 10 8 5 3 0 -1 -1 -1 -0 -0 -2 -2 -0 6 11 14 16 16 16 16 16 16 15 15 16 15 13 11 10 9 10 10 11 11 12 12 11 10 10 10 10 9 7 3 1 -0 2 5 9 11 9 6 7 7 8 8 8 9 9 9 8 8 9 9 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 11 12 11 11 10 10 11 12 12 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 nan
nan 10 9 9 12 13 12 11 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 11 12 12 12 11 9 8 5 3 2 0 -2 -5 -7 -9 -10 -10 -6 1 7 13 16 12 10 12 15 14 12 11 10 9 10 10 11 11 11 12 12 12 11 11 11 11 11 10 8 6 3 2 -0 -1 2 9 13 11 8 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 11 12 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 10 10 11 11 12 11 nan
nan 10 7 7 11 15 15 13 11 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 9 8 7 6 6 6 5 2 -1 -2 -4 -7 -9 -7 -2 12 26 22 11 7 10 13 13 11 9 9 10 10 11 11 12 12 12 11 10 10 10 10 10 8 6 2 -0 -1 0 2 6 11 14 13 11 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 12 11 11 nan
nan 9 7 6 8 11 15 14 12 10 11 11 10 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 8 7 5 3 2 -1 -5 -5 10 27 29 23 15 10 11 12 12 11 9 9 9 10 11 11 12 11 11 11 10 10 9 7 4 2 0 -0 1 3 6 9 12 12 12 11 10 10 10 9 9 10 11 11 11 11 12 12 11 11 11 11 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 9 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 10 10 10 11 10 10 11 10 10 10 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 12 12 12 nan
nan 9 8 8 9 9 10 11 10 11 10 11 12 12 12 12 12 11 11 12 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 11 11 12 12 13 12 11 8 6 5 5 6 4 1 7 15 18 17 15 13 14 14 13 11 10 9 9 10 11 11 12 12 11 11 10 8 6 3 -0 -1 0 3 4 5 7 9 10 10 11 11 11 10 9 10 10 11 11 12 12 12 12 12 11 12 12 12 12 13 13 13 13 12 12 12 11 11 11 10 11 10 10 10 11 10 10 10 11 11 11 12 11 12 12 11 12 12 11 11 11 11 10 10 10 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 nan
nan 8 8 7 8 8 8 8 9 10 10 11 12 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 14 14 14 12 10 8 6 5 6 7 7 6 5 7 7 5 5 7 13 15 15 12 11 10 10 10 11 12 12 12 12 11 9 8 7 5 2 -2 -1 4 6 7 7 8 8 9 10 10 10 10 10 10 11 11 11 12 12 12 12 11 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 12 12 11 11 11 10 10 10 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 9 10 10 10 10 9 9 10 11 11 12 12 nan
nan 7 7 8 8 9 10 10 10 10 11 12 12 12 14 14 14 14 14 14 15 15 14 14 15 14 14 14 14 13 13 13 13 12 13 13 13 13 14 13 12 10 8 8 7 7 6 5 3 3 3 3 3 2 3 6 7 9 11 11 12 12 11 11 12 12 12 11 9 7 8 12 13 8 1 -1 4 7 9 9 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 12 12 12 11 10 11 11 11 10 10 11 10 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 11 12 12 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 13 nan
nan 8 9 10 10 11 13 13 13 13 13 13 13 13 13 13 12 13 14 15 16 15 15 14 14 14 14 14 14 13 13 13 13 12 12 12 13 12 13 13 12 10 9 9 9 8 7 5 3 2 1 1 2 5 6 3 -1 -1 3 7 10 12 11 9 8 10 11 10 8 8 10 16 17 10 3 4 7 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 11 12 12 10 10 11 11 11 11 11 11 11 11 11 10 10 11 10 11 10 10 10 10 11 10 10 11 10 10 10 10 10 10 10 10 11 11 11 10 9 10 11 12 13 14 nan
nan 13 14 14 15 15 15 15 14 13 13 13 13 12 12 12 12 11 12 13 14 14 14 13 13 13 13 13 13 14 14 13 13 12 12 12 11 11 12 12 11 9 8 9 9 9 8 6 6 4 3 3 3 6 10 8 4 -0 0 2 7 8 5 2 1 3 6 9 9 8 10 13 13 9 7 8 9 10 11 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 13 12 12 13 12 12 11 11 11 12 11 11 11 11 11 11 11 10 11 10 10 11 10 10 11 11 10 10 10 9 9 10 11 11 12 11 10 10 11 13 14 15 17 nan
nan 15 18 19 20 19 18 18 16 13 12 12 12 12 12 12 11 10 10 9 10 11 12 13 13 13 13 13 13 13 13 13 12 12 11 12 11 11 11 11 10 9 9 9 9 9 9 9 8 7 7 7 9 11 12 11 9 8 9 11 10 5 -0 -3 -2 0 4 6 7 7 8 9 8 8 9 9 10 10 11 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 10 10 11 11 11 11 11 12 12 12 11 11 13 14 14 13 12 12 12 12 12 11 11 11 11 11 11 11 10 11 10 10 10 10 10 11 11 11 10 10 9 9 9 10 11 11 11 10 10 12 13 13 14 15 16 nan
nan 10 13 18 20 20 19 21 22 19 14 12 12 12 12 12 11 11 11 10 10 11 11 12 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 10 9 9 8 5 1 0 0 2 5 6 6 7 7 7 7 8 9 9 10 10 11 12 12 12 11 11 11 10 10 11 10 11 12 12 12 12 12 11 11 12 12 12 11 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 12 11 11 11 12 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 9 9 10 11 11 10 11 11 11 11 11 12 13 13 13 nan
nan 5 5 6 9 10 14 18 20 19 15 12 11 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 12 12 12 11 11 11 11 10 10 11 11 10 9 9 9 9 10 10 10 9 10 11 12 13 13 12 11 10 9 8 5 2 2 4 5 5 4 5 7 7 8 8 8 8 8 9 9 10 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 10 9 9 9 8 9 10 10 11 11 12 12 12 11 11 12 12 13 13 12 12 12 12 11 10 10 10 11 11 10 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 10 9 10 10 11 12 12 11 10 10 10 11 11 12 11 11 12 nan
nan 5 3 0 0 3 4 6 9 11 12 12 11 11 11 11 11 11 11 12 12 12 11 11 12 12 13 13 12 12 11 11 11 11 11 10 11 11 11 10 10 10 10 9 9 10 10 10 10 11 13 13 13 12 10 9 9 7 5 4 3 5 6 6 6 7 9 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 13 13 12 11 12 11 10 10 9 8 9 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 13 12 12 11 11 10 10 10 10 11 10 10 10 10 10 11 10 10 10 10 11 10 10 10 10 11 11 11 10 10 10 10 10 11 12 11 10 9 9 10 11 12 12 11 11 10 nan
nan 6 5 5 6 7 5 2 4 7 9 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 10 10 11 11 11 12 12 13 13 12 11 10 9 7 6 5 6 7 8 8 7 8 10 11 11 11 10 10 11 11 10 11 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 11 11 11 10 10 9 9 9 9 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 9 9 10 9 7 9 11 11 10 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 14 16 16 15 10 7 6 6 7 8 8 8 9 10 11 12 12 11 11 11 11 11 10 10 11 10 11 10 10 10 10 10 10 11 12 11 11 10 11 12 13 12 12 11 10 10 10 10 9 9 10 10 11 12 12 12 12 12 12 11 12 12 11 12 12 12 12 11 11 11 10 10 10 9 9 9 9 10 9 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 10 8 8 10 12 12 11 11 12 12 12 12 11 11 12 11 11 11 11 nan
nan 9 10 9 9 9 9 8 10 13 13 10 10 11 11 11 11 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 13 15 18 20 19 17 11 6 6 7 7 7 8 9 9 10 12 13 12 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 11 11 12 12 11 11 11 11 12 12 11 9 9 9 9 10 10 11 11 11 11 11 12 12 11 11 11 11 11 12 12 13 12 12 12 11 11 10 10 10 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 11 14 13 12 12 12 11 11 12 12 11 12 11 11 10 11 nan
nan 9 10 9 9 9 9 9 9 11 12 11 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 13 13 12 12 12 12 12 12 12 11 11 10 11 11 12 12 12 12 12 12 14 16 17 16 14 11 8 7 8 8 8 8 9 10 11 12 12 12 12 11 11 11 10 10 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 11 12 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 11 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 13 13 13 14 14 13 13 13 12 13 12 11 12 12 12 12 12 11 12 11 11 10 11 10 9 9 8 8 8 7 8 9 10 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 10 11 11 12 13 13 13 13 13 13 12 11 11 11 10 10 11 11 11 12 12 10 10 10 11 11 10 10 11 11 11 12 13 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 10 9 10 10 10 10 10 11 11 11 11 12 12 10 9 12 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 11 10 nan
nan 11 11 10 10 10 9 9 8 8 8 9 9 9 9 10 9 9 10 10 10 10 9 10 11 11 11 12 12 15 15 13 13 14 14 14 13 14 14 13 13 12 12 12 12 11 10 10 11 11 12 12 11 10 8 6 6 7 7 8 7 8 9 11 12 12 12 12 12 12 12 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 14 13 12 11 11 11 11 11 12 12 12 12 11 10 10 10 11 11 10 10 11 12 13 13 12 13 12 12 11 11 10 10 10 10 9 10 9 9 10 10 9 10 11 11 10 10 9 9 9 11 11 11 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 12 11 10 nan
nan 11 11 11 10 10 9 9 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 10 11 11 12 12 12 13 13 14 14 14 14 13 14 13 13 14 13 13 13 12 12 11 10 10 10 10 11 14 15 13 10 7 6 7 6 7 8 9 10 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 11 11 11 12 12 12 13 13 14 13 11 11 11 10 10 11 11 11 11 13 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 11 12 12 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 12 12 11 12 11 12 11 11 nan
nan 11 10 10 9 10 9 8 7 7 8 8 7 7 8 7 7 7 8 9 10 11 13 14 14 14 14 13 13 13 12 13 13 13 13 13 13 13 13 14 13 13 12 12 11 10 10 10 10 10 11 13 15 14 11 9 10 8 7 8 9 10 11 11 12 12 12 11 11 11 10 10 10 11 10 10 11 11 11 11 11 11 12 11 12 12 12 11 10 10 10 11 12 13 13 12 13 13 13 12 11 10 10 10 11 11 11 12 12 13 13 13 13 12 11 10 11 11 10 10 10 9 10 10 10 9 9 9 10 10 9 10 10 10 10 10 11 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 12 11 10 10 nan
nan 10 10 9 9 9 9 8 8 7 8 8 7 7 7 8 8 9 9 10 11 11 12 13 14 16 16 15 15 15 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 12 10 10 11 9 8 9 10 11 12 12 12 12 12 11 10 10 10 10 10 10 10 11 10 10 11 11 10 10 11 11 11 11 11 10 10 10 11 12 13 14 13 12 11 11 11 10 10 10 10 10 11 11 12 12 13 13 13 13 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 9 10 10 9 9 9 10 11 11 11 10 10 11 12 12 12 11 11 10 11 11 11 11 11 12 12 11 11 11 10 9 10 11 13 11 10 10 nan
nan 10 9 9 9 8 8 8 8 8 7 8 8 8 8 9 9 11 11 11 11 11 9 9 10 11 11 11 12 13 13 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 9 8 9 9 8 9 9 9 9 10 11 12 12 12 12 13 12 11 11 10 9 9 10 9 10 10 10 10 11 10 10 10 10 11 11 10 10 10 10 10 11 12 13 13 12 12 11 10 9 9 9 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 9 8 10 12 14 11 11 10 nan
nan 10 10 9 9 8 8 8 8 7 7 8 9 9 9 10 11 11 11 11 10 9 8 8 9 9 9 8 9 10 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 11 10 10 9 9 9 8 8 8 7 8 8 9 10 10 11 12 13 13 13 13 13 12 11 10 9 10 10 11 10 10 10 9 9 10 11 11 10 10 10 11 11 11 11 10 12 12 13 12 12 11 10 10 9 8 9 9 10 10 10 12 12 12 12 11 12 12 11 11 11 10 10 11 10 11 10 10 10 9 9 10 9 9 9 8 9 9 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 10 9 12 15 12 11 11 10 nan
nan 9 8 8 8 7 7 7 7 7 8 9 10 10 10 11 11 11 11 10 9 8 9 9 10 10 10 9 9 9 10 10 10 10 10 11 11 10 11 11 11 11 10 10 9 9 9 9 8 8 9 9 9 9 8 8 9 9 9 10 12 12 13 13 13 14 13 12 11 10 10 10 10 11 11 11 10 9 9 10 11 11 11 11 11 11 12 12 11 11 11 12 12 12 11 11 11 11 10 9 8 9 10 10 10 10 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 9 9 8 9 9 9 10 10 10 10 10 11 11 11 10 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 13 11 10 10 10 nan
nan 8 7 7 7 7 6 7 8 8 9 9 10 11 11 11 12 12 12 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 7 8 8 8 9 9 9 9 10 9 9 9 10 10 11 12 12 13 13 13 14 13 12 11 10 10 11 11 12 12 11 10 10 10 10 10 10 11 11 11 12 12 13 12 12 12 11 11 11 12 11 11 11 10 9 8 9 10 10 10 10 11 12 12 12 11 11 12 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 11 11 10 10 10 11 11 9 9 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 nan
nan 8 7 8 7 8 8 9 10 11 11 11 11 12 12 12 11 12 12 12 12 12 12 11 10 11 10 10 10 10 9 10 11 11 11 11 11 12 12 11 10 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 12 12 11 10 9 8 8 9 11 11 11 10 10 11 12 11 11 11 11 10 10 10 11 11 10 9 9 9 10 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 9 9 12 12 11 11 11 12 12 11 12 12 11 11 11 9 9 11 12 12 11 10 nan
nan 9 8 9 9 9 10 11 12 12 13 13 12 12 12 12 12 12 12 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 8 9 9 9 10 10 10 11 11 10 11 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 9 8 7 9 10 12 12 12 11 10 10 11 11 11 11 10 11 11 10 10 11 11 11 11 11 12 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 10 10 11 11 12 12 11 11 12 11 11 11 11 12 12 11 10 10 10 10 12 12 12 11 nan
nan 10 10 11 11 11 11 12 12 12 13 13 12 12 12 12 12 11 12 12 12 11 10 10 10 10 9 10 10 10 11 11 10 10 10 9 8 8 8 9 8 7 8 8 8 8 9 9 10 10 10 11 11 11 11 11 10 11 11 11 11 12 11 12 11 11 11 12 12 11 10 9 9 10 10 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 10 9 8 8 9 11 12 12 11 11 10 10 10 11 11 11 10 11 11 10 11 12 12 12 12 11 15 17 12 10 9 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 10 10 11 11 10 11 11 11 11 11 11 11 11 12 12 12 11 11 10 11 11 12 12 nan
nan 11 11 11 12 12 12 12 12 12 12 12 12 11 12 12 12 11 11 10 11 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 7 7 7 7 8 8 9 9 9 10 9 9 10 10 11 11 11 11 10 11 11 11 12 12 12 12 12 11 11 11 11 12 11 10 9 8 9 9 10 10 10 10 10 10 9 10 11 11 11 10 10 11 10 11 11 12 12 12 10 9 9 8 9 10 11 11 11 11 11 11 10 10 11 11 11 11 10 11 12 12 14 16 18 17 13 15 21 17 12 11 10 10 10 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 12 12 12 11 11 10 11 11 11 nan
nan 12 11 12 12 12 12 12 12 12 12 11 11 10 11 11 10 9 10 10 10 10 9 10 10 11 11 10 11 11 10 10 10 10 10 9 8 8 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 9 8 9 10 10 11 11 10 10 10 9 10 10 11 11 11 9 10 11 10 10 12 12 11 10 10 9 9 10 10 11 11 12 12 12 12 11 11 11 12 11 10 10 11 11 13 16 21 22 19 13 12 17 17 14 12 10 9 10 11 12 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 10 10 11 12 12 12 12 12 11 11 11 12 12 11 11 10 11 11 nan
nan 12 12 12 12 12 11 11 12 11 11 11 11 10 10 10 9 8 9 9 9 10 9 10 9 10 11 11 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 13 12 11 12 11 11 11 11 10 10 9 10 10 10 11 12 12 12 11 10 9 9 10 10 11 11 10 10 11 11 10 11 12 11 10 10 10 10 10 11 11 12 13 13 13 12 11 12 12 11 11 11 11 12 13 15 15 14 14 12 8 9 11 11 12 11 6 6 10 14 15 14 11 11 11 10 10 10 11 10 10 11 11 12 12 12 11 10 11 12 12 12 11 10 10 12 12 12 12 12 11 10 10 10 nan
nan 11 12 13 12 12 12 12 11 11 11 11 10 10 10 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 13 12 12 11 10 9 9 10 10 11 11 10 11 11 10 10 11 12 11 10 10 10 10 10 10 11 13 13 13 13 13 12 12 12 11 11 12 12 14 16 20 18 13 10 7 6 6 6 6 7 7 4 4 9 13 14 12 11 11 11 11 10 10 10 10 10 11 12 12 12 11 10 10 10 11 11 11 12 11 11 11 12 12 12 12 11 11 10 10 nan
nan 11 12 12 12 13 13 13 12 11 11 11 10 10 10 11 11 11 11 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 10 10 11 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 12 11 12 12 12 13 13 12 12 11 12 12 12 13 12 12 13 12 11 11 11 10 9 10 11 10 10 10 11 10 10 10 11 11 11 10 9 9 10 10 10 11 12 12 12 12 12 12 12 12 11 12 13 16 19 21 23 20 15 10 8 6 5 6 7 8 9 9 10 10 8 8 9 9 10 10 10 10 9 9 10 11 12 12 12 11 10 11 11 11 11 11 12 12 11 11 11 12 13 12 11 11 11 11 11 nan
nan 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 11 11 10 10 10 10 10 10 11 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 12 11 12 12 12 13 13 13 13 13 12 13 13 13 13 12 12 12 12 12 12 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 12 12 12 12 13 16 20 23 23 18 13 10 8 7 5 5 6 9 11 13 16 16 13 7 5 7 9 10 11 11 10 9 10 11 12 12 11 11 11 11 11 11 11 11 11 11 12 11 10 10 12 13 13 12 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
6 7 7 7 7 8 10 9 10 10 10 10 10 10 12 14 15 16 19 23 30 37 45 52 57 59 59 58 54 46 37 28 26 24 19 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 2 2 1 0 1 5 10 18 30 41 50 52 49 49 49 50 52 54 56 61 64 64 65 66 70 72 68 63 63 68 74 76 76 76 80 85 90 92 95 102 111 115 110 110 108 109 110 108 103 103 111 123 133 134 124 113 91 65 50 49 56 69 79 86 86 81 71 59 55 58 62 60 53 56 55 52 50 50 51 53 52 52 48 43 40 39 41 42 42 40 34 23 14 7 2 0
5 5 4 4 3 4 4 4 5 6 5 5 5 5 7 9 10 12 13 17 21 28 35 42 48 52 52 50 42 32 24 18 15 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 4 2 1 3 7 16 28 40 49 51 49 51 54 57 57 56 57 61 65 67 68 70 70 68 66 68 74 84 89 86 84 86 88 87 84 81 86 91 95 101 98 104 109 110 109 104 97 88 89 100 118 133 138 131 114 93 70 46 35 49 66 80 86 84 74 63 60 67 78 80 69 64 61 58 53 50 50 52 52 51 50 48 45 43 44 46 49 51 50 44 34 21 10 3
3 3 2 2 1 1 1 1 2 2 2 2 2 2 3 4 6 8 10 13 16 21 28 34 38 42 44 38 28 18 14 11 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 3 8 10 9 6 2 1 4 10 19 30 40 42 44 48 52 54 58 61 58 56 55 56 58 61 63 62 62 66 77 93 96 88 83 82 82 79 74 73 76 77 78 83 88 95 101 104 104 101 90 82 76 77 90 114 128 122 120 115 99 60 28 35 53 68 76 77 73 67 64 70 84 91 80 72 68 63 57 53 52 52 52 52 53 52 50 49 50 52 55 58 58 54 47 37 24 10
1 2 1 0 0 0 0 0 0 0 1 2 2 1 1 2 4 7 9 11 14 17 22 26 30 34 32 24 16 11 9 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 5 2 2 4 8 13 19 27 33 37 40 41 42 46 50 48 45 42 42 44 52 59 61 61 65 72 89 92 88 81 73 64 60 58 58 58 57 58 70 81 86 89 94 101 103 93 82 71 66 72 90 106 116 120 115 101 61 34 32 40 50 57 61 68 70 69 71 82 92 83 76 71 65 57 54 54 54 54 56 57 56 55 56 59 61 63 61 60 58 54 49 41 27
0 1 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 6 8 10 12 14 17 21 24 26 22 14 9 7 8 9 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 1 1 2 2 2 2 2 3 6 9 13 17 20 21 24 26 29 33 36 34 31 30 32 33 42 52 59 62 62 63 79 90 92 86 75 60 48 45 45 43 38 38 61 74 79 82 88 99 105 99 89 79 70 68 79 93 111 123 117 94 92 71 47 34 35 40 50 63 72 75 73 78 90 86 79 73 65 58 55 55 55 58 64 67 65 62 60 62 64 63 60 58 57 56 55 50 42
0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 4 5 6 7 8 9 11 13 16 19 19 13 8 5 5 7 9 7 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 1 1 1 1 0 0 0 1 1 2 4 6 10 13 14 16 17 18 20 22 20 19 22 24 26 34 42 51 55 54 57 72 87 94 91 84 68 53 46 42 38 34 37 53 66 74 77 81 92 102 101 93 83 76 76 80 88 105 124 135 108 93 73 54 42 33 36 44 54 63 71 69 71 79 82 79 75 68 63 61 63 67 70 77 81 78 72 66 63 63 62 61 58 55 54 53 51 46
0 0 0 1 1 0 0 0 0 0 0 1 1 2 2 3 4 5 6 5 6 7 9 11 13 11 6 3 3 5 7 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 1 3 6 10 12 14 15 14 14 12 13 16 18 24 30 36 41 44 43 47 62 81 93 92 87 78 69 61 52 46 41 41 50 63 75 79 79 89 100 101 94 88 84 84 85 89 99 116 127 112 102 92 81 80 49 42 43 45 49 59 67 71 72 73 75 75 71 70 73 79 83 86 91 91 89 86 81 71 65 62 60 56 54 52 51 50 48
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 5 8 8 4 2 0 1 3 6 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 1 1 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 1 4 7 10 12 12 12 12 12 14 17 22 27 30 32 33 34 38 51 69 82 86 84 80 76 70 63 56 50 51 59 72 85 88 86 94 103 104 97 89 87 87 90 92 93 103 112 116 123 121 104 121 76 55 49 46 43 49 61 70 75 76 74 72 74 82 91 97 101 105 104 98 93 93 86 74 66 61 57 53 51 50 49 48 45
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 1 2 6 6 4 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 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 9 10 12 14 16 21 26 29 27 27 30 36 46 58 68 74 75 73 69 64 58 55 50 54 66 82 92 94 94 101 109 111 103 96 94 95 99 104 98 106 117 128 137 138 118 97 80 69 61 55 47 52 58 65 71 72 74 72 77 87 99 107 106 109 107 100 92 91 84 75 67 60 56 52 51 50 47 44 42
0 0 0 0 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 6 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 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 6 8 11 14 17 20 24 28 28 30 32 38 46 57 65 68 64 59 55 52 49 48 46 52 65 79 86 89 94 103 112 115 110 108 109 110 112 117 116 120 124 131 140 143 121 102 90 83 78 68 65 67 66 64 68 74 74 74 76 83 100 111 110 110 106 98 90 82 74 67 62 59 56 56 56 54 51 48 45
0 0 0 0 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 9 11 11 11 9 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 2 7 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 6 9 13 16 19 22 23 23 26 30 36 45 56 66 67 59 49 42 38 38 38 42 52 65 77 82 86 90 98 109 114 116 117 117 117 117 118 126 132 135 138 143 144 127 116 108 100 97 87 86 87 82 73 70 76 74 71 69 74 88 102 111 112 105 94 81 71 62 56 54 54 56 59 61 62 59 55 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 1 4 9 14 15 14 13 9 4 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 1 4 9 12 10 6 3 2 2 1 0 0 0 0 0 0 0 0 2 3 3 3 3 4 5 9 13 17 19 20 20 19 21 26 33 39 47 57 60 57 49 40 34 33 36 44 56 70 81 88 92 92 92 100 103 112 118 121 120 117 116 120 128 135 133 136 137 130 125 120 113 110 101 96 93 89 86 81 80 74 65 61 65 80 97 108 109 104 92 80 70 64 61 59 59 60 62 63 65 65 59 56
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 16 17 15 10 3 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 3 2 3 6 10 13 14 13 12 13 12 8 4 0 0 0 0 0 0 1 3 5 5 4 4 4 5 9 13 16 19 21 22 23 25 29 35 38 41 47 50 52 52 47 42 44 48 54 66 79 83 85 85 84 86 92 96 102 108 112 115 120 118 114 113 115 110 112 121 126 123 117 116 111 106 106 103 91 91 89 85 77 64 55 59 70 83 93 99 100 97 90 85 84 82 78 74 70 66 61 59 61 58 53
0 0 0 0 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 14 14 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 12 10 7 4 2 2 3 8 13 18 22 26 28 25 17 7 1 0 0 0 0 0 0 2 6 7 8 8 10 11 14 17 19 21 24 28 31 33 38 43 44 45 47 47 46 46 45 49 53 57 65 78 85 82 75 70 69 75 81 86 92 96 101 109 118 116 108 101 97 96 101 109 117 121 109 115 112 110 111 107 100 92 89 88 86 80 70 67 73 84 91 92 95 100 104 108 111 102 92 81 73 67 57 50 49 48 45
0 0 0 0 0 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 8 10 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 14 19 19 15 10 4 0 0 1 3 10 20 29 37 37 31 21 9 2 0 0 0 1 1 1 2 6 11 14 16 24 30 34 35 35 34 35 38 41 45 52 59 59 57 55 51 46 42 46 52 59 65 72 81 82 76 68 64 64 69 73 77 82 89 97 105 112 115 113 107 103 102 103 104 110 119 109 106 102 102 105 105 99 90 87 87 85 86 83 81 88 102 110 105 100 102 108 115 118 104 90 79 70 62 52 44 39 38 39
0 0 0 0 0 0 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 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 13 18 24 27 27 22 14 6 0 0 0 1 8 21 34 41 39 33 24 14 6 3 2 1 1 2 4 7 12 21 30 35 40 48 56 61 63 62 59 56 55 58 64 73 70 67 63 57 51 46 47 50 55 59 65 70 70 66 60 58 60 63 65 69 74 82 89 95 102 109 115 118 117 112 108 106 109 109 111 111 109 105 104 104 105 105 102 95 89 87 85 88 98 112 116 108 98 92 94 108 117 105 90 78 70 62 55 48 42 38 37
0 0 0 0 0 0 0 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 1 4 11 13 16 20 26 29 31 27 19 9 2 0 0 1 8 22 38 45 43 36 29 23 18 13 8 5 4 6 9 15 26 42 58 69 74 79 83 85 83 81 78 74 70 67 68 73 73 68 60 50 39 34 33 35 39 43 47 52 57 57 54 51 51 51 54 58 64 71 79 85 91 98 108 120 122 120 116 115 120 119 121 120 120 120 114 108 107 107 106 102 97 91 88 89 94 100 99 95 91 90 86 93 98 96 88 78 70 66 64 61 55 48 44
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 11 14 22 31 34 34 29 22 13 5 1 0 2 8 22 39 48 47 42 36 32 29 24 18 14 12 15 18 27 42 63 83 97 102 104 102 98 94 91 86 81 76 71 67 63 56 46 36 27 21 17 15 16 18 19 22 26 32 38 42 41 41 42 43 45 52 60 68 74 78 84 94 107 116 120 122 124 125 125 121 115 114 118 113 105 96 89 88 89 89 84 78 77 77 80 80 79 80 85 86 86 88 89 85 76 70 67 67 67 65 60 55
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 16 22 31 43 45 41 34 27 19 9 3 0 1 5 15 29 38 42 42 40 38 34 29 24 21 24 29 34 42 56 74 94 108 111 109 104 98 96 91 86 81 75 68 62 52 41 30 19 13 10 8 6 4 4 3 5 7 9 13 18 22 23 24 27 29 36 43 50 56 62 68 78 91 104 116 124 130 128 124 116 103 99 99 99 100 94 74 77 83 84 78 73 71 73 69 66 67 71 79 82 83 86 89 83 74 67 64 65 67 65 62 61
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 6 14 20 26 36 48 51 48 42 36 28 14 5 1 0 1 4 14 21 29 36 41 43 39 32 27 29 37 47 56 64 76 92 104 109 106 102 98 93 86 80 77 74 71 67 62 53 41 28 16 10 6 3 1 0 0 0 0 1 1 1 1 4 6 8 10 12 18 23 27 33 38 46 59 74 93 114 129 130 125 118 108 98 91 89 97 110 106 72 73 84 92 92 84 74 67 62 60 64 70 79 84 85 84 81 73 68 66 65 63 60 59 59 58
0 0 0 0 0 0 0 1 2 2 3 3 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 4 9 12 16 23 38 46 49 48 45 38 21 10 3 1 0 0 3 8 16 27 40 49 49 41 33 34 46 64 80 90 97 103 108 109 105 99 93 81 67 59 57 59 62 68 69 66 55 39 24 14 7 2 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 8 11 15 22 32 44 59 78 104 125 127 121 111 107 106 96 87 92 104 89 73 73 80 88 93 88 78 72 68 65 68 73 81 86 86 84 81 74 72 73 70 61 70 70 62 54
0 0 0 0 0 0 0 1 3 4 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 2 4 4 3 7 24 36 44 48 48 39 26 17 10 5 1 0 0 2 7 19 37 56 65 60 47 41 49 74 96 109 113 112 116 116 112 103 92 70 51 43 42 45 48 58 69 77 77 67 50 33 19 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 14 23 33 45 60 82 102 114 114 108 108 108 98 85 77 80 82 85 82 78 84 88 82 79 78 76 68 67 72 81 88 88 85 84 81 78 74 64 68 81 86 76 67
0 0 0 0 0 0 0 0 2 3 5 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 2 3 0 2 18 32 42 49 51 41 31 23 15 6 0 0 0 0 4 13 31 54 71 77 71 64 70 88 104 112 115 118 121 120 115 107 93 69 54 47 46 45 45 51 63 78 89 87 72 55 38 25 16 11 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 3 8 15 24 33 44 58 69 81 92 92 88 82 78 78 78 75 77 72 69 73 77 83 81 79 81 83 78 78 78 78 79 79 82 83 82 79 71 68 75 87 100 90 82
0 0 0 0 0 0 0 0 1 4 7 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 13 29 43 55 64 66 54 40 27 14 3 0 0 0 0 2 10 20 35 54 71 82 86 96 108 113 112 108 110 113 112 107 104 94 76 64 58 57 57 58 62 70 80 88 86 75 60 47 36 29 25 23 20 14 7 4 2 1 1 0 0 0 0 0 0 0 1 2 6 12 21 32 40 47 58 71 74 75 74 74 79 84 75 72 72 73 70 74 78 77 76 82 84 86 90 89 81 78 79 82 84 83 79 85 103 99 91 103 89 81
0 0 0 0 0 0 0 0 2 6 10 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 15 30 49 65 77 85 90 68 50 32 16 2 0 0 0 1 3 8 13 21 34 50 68 82 97 110 115 110 103 98 98 100 99 100 97 88 78 73 73 76 80 85 88 89 87 76 63 51 41 32 27 27 30 34 33 24 16 11 8 5 2 2 1 1 0 0 0 1 2 3 6 13 24 34 46 62 81 88 86 80 73 73 81 75 74 78 76 71 69 68 68 70 79 76 83 92 93 84 81 82 85 84 81 80 88 89 90 96 90 76 67
0 0 0 0 0 0 0 0 4 10 13 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 40 62 79 90 94 88 65 49 36 23 9 3 0 0 1 2 6 12 19 29 40 50 66 85 100 106 105 99 94 92 93 96 100 100 95 88 82 84 92 98 101 100 94 80 66 54 47 42 35 28 26 30 40 48 42 34 28 23 18 13 11 12 13 11 9 8 9 11 13 16 19 26 37 55 78 95 101 99 91 78 72 73 72 75 83 87 77 68 63 62 66 68 70 76 82 82 79 79 82 84 79 81 84 88 89 86 82 74 60 51
0 0 0 0 0 0 0 2 7 12 12 6 1 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 1 6 19 45 68 86 95 95 74 54 44 38 28 12 3 0 0 0 1 5 13 23 33 39 48 64 82 96 102 100 98 96 93 91 93 95 95 90 83 76 72 76 84 91 90 83 71 61 55 54 54 49 42 38 38 44 48 48 46 42 40 38 36 38 41 44 42 40 36 33 33 33 34 34 35 41 54 84 104 108 105 101 93 82 71 66 69 81 82 72 67 66 63 68 74 81 85 82 78 78 81 84 85 80 81 83 85 83 78 71 58 45 38
0 0 0 0 0 1 2 6 10 10 8 3 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 2 6 21 48 70 84 91 90 66 45 32 24 14 5 1 0 0 0 0 4 12 24 33 39 54 74 89 98 100 100 99 95 91 87 86 84 82 76 67 57 52 54 62 70 71 65 60 58 59 61 61 56 49 45 43 45 46 45 44 45 46 48 51 55 61 64 62 57 53 51 50 52 57 57 55 53 56 79 100 111 112 110 101 89 77 69 71 81 83 80 76 75 72 73 79 84 86 80 79 81 85 89 87 84 86 86 84 78 65 51 38 30 28
0 0 0 0 2 4 6 11 10 7 3 0 0 0 0 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 12 29 51 69 81 84 79 54 30 12 4 0 0 0 0 0 0 0 2 10 22 34 47 66 85 97 100 94 94 93 89 84 81 77 72 65 55 42 33 32 40 50 57 55 52 52 52 55 58 56 52 47 44 42 42 43 43 42 42 44 48 52 55 57 58 57 55 53 50 51 64 82 95 103 111 99 99 107 113 113 108 99 91 84 80 83 86 87 86 83 80 72 65 62 62 63 65 68 73 80 86 86 87 92 97 91 75 56 40 30 28 25
0 0 0 1 2 4 5 5 3 1 0 0 0 0 0 1 2 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 2 5 11 22 40 57 69 75 75 63 34 13 3 0 0 0 0 0 0 0 0 3 11 26 45 66 84 97 103 100 89 88 86 83 79 74 66 56 43 30 20 19 25 34 42 46 43 43 46 48 49 48 43 39 37 37 37 37 39 40 40 39 42 45 46 47 48 49 52 56 56 54 57 72 92 110 117 120 118 112 106 102 97 92 87 83 81 81 84 81 76 70 63 54 44 36 30 28 32 37 43 49 57 65 73 81 87 90 84 67 48 34 28 27 20
0 0 0 1 2 3 2 1 0 0 0 0 0 0 1 2 3 4 5 4 4 4 3 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 2 7 14 22 35 50 59 62 62 59 42 17 3 0 0 0 0 0 0 0 0 0 4 18 40 66 82 93 101 103 93 84 80 78 76 72 62 52 42 33 26 25 27 33 38 40 37 37 40 44 45 43 37 29 23 21 25 25 26 27 29 30 31 34 36 38 40 46 54 60 64 64 65 75 90 98 93 80 80 80 79 76 72 67 64 64 64 63 62 58 52 45 38 29 20 14 9 7 6 9 13 17 22 32 44 55 64 68 68 62 51 38 28 26 25 20
0 0 0 0 1 1 1 0 0 0 0 0 0 1 2 3 4 5 5 5 5 5 5 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 1 8 18 29 39 50 54 50 44 39 34 15 4 0 0 0 0 0 0 0 0 0 2 10 31 61 78 84 88 89 88 79 74 70 67 63 56 45 38 35 38 42 42 41 40 38 37 36 38 41 43 43 40 30 20 12 10 10 10 10 11 14 17 21 25 30 34 40 52 62 69 71 67 68 78 80 68 46 30 26 26 29 32 32 30 30 29 28 29 27 22 18 13 10 6 4 2 1 0 0 2 4 6 12 22 32 42 48 45 41 38 34 29 21 22 21 18
0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 5 6 6 5 5 4 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 5 15 28 41 52 56 46 32 20 13 9 3 1 0 0 0 0 0 0 0 0 0 4 18 39 64 71 70 70 69 67 65 62 59 54 46 36 29 29 35 44 50 48 44 39 34 31 32 34 38 40 42 42 31 18 9 5 3 2 2 3 7 10 15 21 28 35 45 57 67 72 72 67 64 69 68 47 28 15 7 4 3 4 5 6 6 6 3 1 3 3 2 0 0 0 0 0 0 0 0 0 2 6 14 21 26 27 26 23 22 22 23 23 21 20 19 18
0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 5 5 6 6 6 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 20 32 42 48 43 29 15 6 2 1 0 0 0 0 0 0 0 0 0 0 0 6 19 38 54 55 52 49 46 44 46 48 46 41 30 22 20 25 34 41 45 44 42 37 32 29 30 32 35 38 42 38 25 12 4 2 0 0 0 1 4 8 13 19 28 38 50 61 69 74 73 68 61 62 64 49 29 15 5 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 3 8 13 18 20 19 18 16 17 19 20 19 18 16 15 15
0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 5 5 6 6 6 6 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 18 25 28 25 17 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 7 19 35 45 44 39 33 28 27 31 35 35 32 22 16 15 18 23 26 28 29 29 29 29 28 30 32 35 40 43 34 18 4 0 0 0 0 0 0 2 5 10 17 27 41 55 66 73 76 74 70 63 58 59 59 50 30 11 2 0 0 0 0 0 0 1 2 2 3 3 3 2 1 0 0 0 0 1 3 6 10 14 16 15 14 13 13 16 20 20 17 14 12 10 12
0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 5 6 6 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 11 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 30 42 46 42 33 24 18 22 28 32 32 28 22 17 14 12 13 14 16 16 16 16 18 21 24 28 33 39 41 28 10 1 0 0 0 0 0 0 1 2 5 14 30 49 64 73 76 75 72 68 63 57 52 47 37 23 12 3 1 0 0 1 1 2 3 4 5 6 6 5 4 3 2 2 2 3 6 9 12 14 17 18 17 16 16 18 22 23 18 14 14 15 15 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 6 5 5 4 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 7 23 45 51 48 41 31 22 18 23 29 33 32 26 21 17 14 12 12 13 14 12 10 8 8 10 13 18 24 32 28 14 0 0 0 0 0 0 0 0 0 0 3 10 31 48 61 67 67 64 63 61 59 54 45 30 16 6 2 2 1 0 0 1 2 3 4 5 6 6 6 5 5 5 9 8 8 8 10 11 13 16 20 25 28 32 35 39 40 32 24 21 23 26 28 27
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 12 2 0 0 0 0 0 2 10 26 47 53 50 43 34 27 24 26 27 25 21 16 13 12 12 12 12 13 12 11 8 5 3 2 3 5 7 11 7 1 0 0 0 0 0 0 0 0 0 0 1 9 28 44 54 56 52 51 51 52 50 46 31 16 6 2 1 0 0 0 0 0 0 1 3 4 5 4 4 4 5 7 10 10 9 9 8 6 9 16 30 44 56 63 66 69 67 60 52 44 43 44 44 42
0 0 1 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 1 1 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 1 10 26 39 9 0 0 0 0 0 2 8 20 35 46 49 48 45 41 35 30 24 17 13 11 10 10 11 12 12 11 11 11 10 6 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 10 28 44 54 54 48 46 46 46 40 26 12 5 3 3 2 1 0 0 0 0 0 1 2 4 4 4 3 3 7 10 11 11 11 13 14 18 26 39 50 60 67 73 77 76 74 71 66 58 49 47 48 48
1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 3 14 34 58 17 1 0 0 0 0 1 5 11 23 36 44 49 50 47 39 31 23 17 13 12 12 12 13 14 15 15 15 15 14 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 14 32 48 53 50 48 48 44 34 22 11 4 2 4 5 4 2 0 0 0 0 0 0 1 4 6 6 5 5 9 12 13 14 18 22 26 32 39 44 52 57 58 58 59 61 64 63 57 48 42 41 42 41
4 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 5 15 32 55 26 6 0 0 0 0 1 3 7 14 24 32 39 43 40 35 28 22 16 13 12 12 14 17 22 24 25 24 22 18 14 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 33 46 43 37 33 26 15 8 4 3 3 5 6 7 5 3 1 0 0 0 0 0 0 3 6 7 7 6 9 12 16 20 24 29 34 38 40 45 47 43 37 36 39 46 53 57 56 49 42 37 33 24
7 7 4 3 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 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 4 7 10 14 24 40 28 11 0 0 0 0 0 1 4 8 14 20 24 29 29 26 22 17 12 10 9 11 16 23 30 32 30 27 22 18 14 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 26 33 28 21 14 8 2 1 1 2 4 6 7 7 6 4 2 0 0 0 0 0 1 3 5 7 8 8 11 14 18 24 25 29 33 35 32 29 24 19 14 13 17 23 30 39 45 46 40 31 25 15
8 6 3 2 2 3 4 3 2 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 4 8 14 18 19 20 20 18 19 28 26 15 0 0 0 0 0 0 1 3 7 10 13 16 17 16 13 9 6 6 8 11 16 24 28 28 24 20 15 13 11 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 19 22 16 8 2 0 0 0 2 4 5 6 6 5 4 3 2 0 0 0 1 2 2 3 4 6 8 10 13 17 22 25 24 23 22 21 17 13 10 6 3 2 3 5 8 15 24 31 31 25 18 14
3 2 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 2 7 14 22 27 32 33 28 15 18 20 15 1 0 0 0 0 0 0 1 2 2 4 5 6 6 6 6 5 7 10 15 20 24 24 20 16 11 10 10 11 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 12 11 5 1 0 0 0 2 5 7 8 7 5 3 2 1 0 1 1 2 2 2 3 4 4 5 9 13 16 18 21 21 19 16 11 6 4 3 2 1 0 0 0 0 0 0 4 10 15 16 15 15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 18 26 34 40 40 14 9 11 12 4 2 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 12 16 22 28 29 25 19 13 10 11 12 13 12 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 6 4 2 0 0 0 1 3 5 8 8 7 6 5 4 3 2 1 1 2 3 3 4 4 5 9 13 15 14 14 14 13 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 14
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 19 26 34 42 47 20 8 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 2 6 12 20 28 36 42 44 41 32 21 16 14 12 11 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 5 3 2 0 0 0 1 2 4 7 7 7 7 5 3 2 2 1 1 3 4 5 5 5 6 10 13 14 12 10 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10
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 1 3 8 16 23 28 33 40 44 31 17 6 1 3 4 2 0 0 0 0 1 2 2 2 1 0 0 1 7 19 33 45 58 61 60 55 46 34 22 14 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 5 4 3 1 0 0 1 1 3 6 7 7 7 6 4 2 2 1 1 2 4 5 6 5 5 8 11 13 12 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6
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 2 5 10 16 22 25 28 34 37 35 27 15 3 2 3 2 0 0 0 0 0 1 1 1 0 0 0 1 8 23 42 58 71 69 62 51 37 24 15 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 3 1 0 0 0 0 2 4 5 6 6 6 4 2 1 1 1 1 3 4 5 5 4 6 10 12 12 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2
0 0 0 0 0 0 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 4 7 12 14 17 19 22 26 31 34 34 28 15 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 28 44 58 57 47 31 18 10 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 2 4 4 5 4 3 2 1 1 2 2 3 4 4 4 4 5 9 12 12 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 0 0 0 0 0 0 0 0 0 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 8 10 11 13 15 18 23 27 33 36 28 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 23 30 28 20 9 4 2 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 1 2 3 5 5 5 5 5 4 4 3 3 3 3 3 4 6 9 12 12 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 0 0 0 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 1 2 3 3 5 8 11 13 13 15 19 25 32 28 15 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 8 4 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 2 4 5 6 7 8 9 9 7 5 4 3 3 4 4 4 6 9 10 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 0 0 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 2 2 2 2 2 2 2 3 6 10 14 18 15 14 15 19 26 26 18 8 1 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 1 1 2 2 7 6 3 0 0 0 0 0 0 0 0 0 1 3 7 9 10 11 11 11 10 8 5 4 3 3 3 3 3 4 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 6 7 7 6 5 6 8 8 8 7 7 6 10 14 17 21 20 20 20 21 24 24 18 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 14 11 5 1 0 0 0 0 0 0 0 1 3 7 10 12 13 13 12 10 8 6 5 4 4 4 3 3 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 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 5 6 8 9 11 12 13 12 12 12 15 13 12 13 14 15 15 16 16 20 24 26 28 28 26 24 18 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 8 12 12 9 3 2 2 2 1 1 1 1 3 7 11 13 14 14 14 12 8 5 4 2 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 0 0 0 0 0 0 0 0 2 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 6 9 10 11 12 14 14 12 10 12 15 12 10 11 15 17 16 15 16 24 31 34 34 30 26 21 16 10 5 2 2 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 1 2 4 5 6 7 11 14 15 11 11 13 14 10 9 8 7 8 10 12 13 13 12 10 6 3 2 1 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 1 2 5 6
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 7 8 8 8 7 7 10 11 11 9 7 5 6 7 9 11 14 14 14 18 27 36 39 38 33 27 22 17 14 10 7 4 4 3 3 3 2 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 5 6 10 14 17 19 20 21 22 21 19 16 14 11 10 10 10 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 9 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 11 11 8 5 3 4 7 9 8 7 5 4 7 10 13 16 18 21 29 38 44 46 43 36 29 22 16 12 9 7 5 4 4 4 3 4 4 4 4 3 2 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 4 6 10 14 16 14 10 10 9 12 16 20 22 23 22 20 18 15 13 10 8 6 5 4 1 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 2 8 12 12 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 1 2 4 7 11 14 15 9 3 2 3 4 8 9 10 10 10 12 16 21 28 35 44 55 60 48 45 40 33 25 17 12 7 2 2 2 3 3 4 4 4 4 4 4 2 1 0 0 1 3 3 2 1 0 0 1 3 4 3 3 4 5 7 10 13 17 21 28 34 38 41 42 38 32 26 22 20 21 21 20 17 14 10 7 5 4 2 1 1 0 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 13 13 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 1 3 7 11 12 12 14 7 2 2 5 12 18 22 24 25 28 31 38 46 54 58 65 70 68 53 42 36 32 26 18 9 3 0 0 1 1 2 3 3 3 3 3 3 2 1 1 3 4 3 2 0 0 0 1 3 7 9 10 10 11 12 15 20 27 35 43 48 52 55 57 58 56 50 40 30 22 19 18 18 14 10 7 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 1 4 8 10 12 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 2 5 16 14 5 2 1 0 0 2 4 15 28 38 41 45 51 59 65 69 67 66 64 60 51 47 46 44 34 19 7 1 0 0 0 0 1 1 1 1 1 2 1 1 0 1 2 2 1 0 0 0 0 0 2 10 12 14 15 15 16 20 27 36 46 56 62 65 66 64 60 56 49 41 33 25 19 16 15 11 8 6 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 1 2 5 8 10 12 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 5 4 1 0 0 0 0 0 0 4 14 24 30 36 49 60 64 64 62 57 51 41 34 36 43 46 27 11 3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 14 16 18 20 21 24 30 37 45 54 62 67 67 60 50 40 33 31 26 20 15 11 9 7 5 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 1 4 6 7 10 13 13 12
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 1 4 12 25 37 46 52 55 52 40 16 8 10 13 13 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 2 5 11 14 17 20 24 26 28 31 35 39 45 50 54 52 42 28 17 11 11 9 7 6 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 0 2 6 9 11 14 16 14 12
0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 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 2 6 12 19 29 42 42 28 6 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 16 19 23 27 30 34 36 36 34 32 31 30 24 16 8 3 2 1 1 1 1 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 5 9 14 18 18 15 13
0 0 0 0 0 0 0 0 0 0 0 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 1 4 10 20 23 16 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 1 3 9 15 20 23 26 28 30 32 34 32 26 20 14 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 12 17 18 17 16
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 2 5 6 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 1 6 12 19 23 25 25 24 22 21 18 15 10 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 2 5 9 12 14 14 14
0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 14 17 17 15 12 11 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 11 10 11
0 0 0 0 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 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 0 0 0 0 0 1 2 4 8 8 8 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 8 7 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 13 16 16 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 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 1 2 4 5 6 6
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 18 20 15 9 2 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 0 0 0 0 1 4 6 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 7 14 22 24 19 12 10 10 10 10 9 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 10 13 18 26 32 33 30 27 28 31 32 30 27 20 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 1 3 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 2 5 11 17 22 28 31 34 40 44 46 45 50 54 55 53 46 32 15 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 21 26 31 35 39 46 53 55 58 64 71 78 80 65 39 13 1 0 0 1 5 8 9 8 8 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 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 9 17 22 26 31 38 46 53 59 63 66 73 80 87 91 74 44 13 3 0 0 1 6 12 13 13 14 12 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 12 18 24 29 35 44 52 58 64 67 71 76 82 86 84 65 40 16 4 1 0 0 2 3 7 11 14 13 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 4 7 10 14 17 20 26 31 37 43 50 56 62 66 69 72 75 77 76 69 54 36 19 8 4 4 6 7 6 4 3 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 6 11 16 19 23 27 31 34 39 44 47 51 55 61 67 72 73 72 71 68 63 56 46 36 23 14 11 13 16 15 12 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 9 10 11 13 18 24 29 32 38 44 49 53 55 55 56 57 59 65 72 77 77 74 68 61 54 49 43 36 27 22 21 21 20 18 14 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 11 14 16 20 23 28 33 39 47 55 61 66 67 66 64 64 67 72 76 79 76 70 62 55 48 46 43 39 33 31 30 29 29 25 19 10 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 1 3 8 14 18 21 23 25 29 35 45 56 65 70 75 78 77 75 76 77 78 78 73 66 58 49 40 43 44 44 42 42 44 45 45 39 28 15 2 1 0 0 0 0 0 0 0 0 0 0 1 4 6 6 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 8 13 18 21 23 24 23 23 24 33 45 58 66 74 80 83 83 83 81 78 74 69 63 55 47 46 49 52 52 52 54 57 60 60 51 37 20 8 3 1 0 0 0 0 0 0 0 0 1 4 14 23 29 30 24 15 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 13 16 18 19 21 23 25 25 23 20 19 24 33 44 58 68 75 79 81 80 77 72 68 66 63 60 58 61 62 63 61 60 61 64 67 64 52 37 22 11 5 1 0 0 0 0 0 0 2 3 7 15 28 39 46 48 41 33 23 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 15 17 20 22 26 29 30 28 25 22 22 30 40 51 61 69 73 76 76 73 70 66 62 62 63 65 66 68 69 68 65 63 62 62 62 54 41 28 16 8 3 0 0 0 0 0 1 4 7 12 17 24 32 40 47 49 45 41 36 29 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 12 14 18 23 27 29 30 31 31 30 34 41 50 58 65 69 72 75 75 72 70 68 65 64 65 68 71 70 69 67 65 63 60 55 48 37 25 14 5 2 0 0 0 0 0 1 4 10 16 22 28 32 37 41 45 46 46 45 44 40 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 9 10 14 19 25 30 33 35 36 36 39 43 47 53 59 65 71 75 76 76 76 76 75 74 73 74 74 70 68 66 64 61 56 47 36 23 12 4 1 0 0 0 0 0 0 1 4 13 21 28 35 39 43 46 48 49 48 48 49 45 30 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 2 4 5 5 5 5 6 8 12 18 24 29 32 33 34 36 38 41 45 50 58 67 76 82 85 87 87 86 83 80 77 75 70 68 67 65 61 54 43 30 17 7 1 0 0 0 0 0 0 0 0 2 9 18 28 37 43 49 53 56 54 54 54 52 44 30 16 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 6 10 14 19 23 26 30 33 36 40 44 50 58 68 80 88 92 94 95 93 90 85 79 74 71 69 68 66 62 56 48 34 20 10 4 1 0 0 0 0 0 0 0 1 8 19 31 43 50 54 55 57 54 54 55 51 42 31 18 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 2 5 8 12 16 23 30 36 39 44 55 62 72 82 92 98 99 99 98 96 93 88 83 77 73 70 69 68 63 58 53 42 31 21 12 5 2 0 0 0 0 0 1 5 14 25 39 49 54 54 53 51 51 51 51 48 41 31 19 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 15 18 22 29 43 63 74 82 89 97 100 99 95 93 91 87 84 80 75 70 66 64 65 64 60 55 49 43 36 26 15 6 1 0 0 0 1 4 12 24 36 48 53 54 52 48 46 46 48 48 46 39 30 18 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 5 7 8 7 6 7 13 26 43 62 72 79 86 96 99 96 92 88 84 80 76 73 69 65 62 64 66 65 62 57 53 49 46 41 32 21 10 6 5 5 8 14 25 37 48 56 56 53 49 44 43 43 45 46 43 36 28 18 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 2 4 5 6 5 4 3 3 4 4 5 6 5 3 3 7 17 31 48 66 76 83 88 94 96 96 93 89 84 78 73 70 68 65 64 68 69 67 64 58 53 50 49 48 46 40 31 23 20 21 25 33 42 50 56 58 55 52 48 45 43 43 44 44 41 36 29 19 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 6 8 8 8 6 5 4 4 4 4 4 4 4 4 7 16 30 46 62 76 82 86 89 91 93 93 92 89 85 80 76 72 71 70 69 72 70 67 62 57 52 49 48 47 48 47 45 41 39 39 41 46 51 56 58 58 56 52 49 47 45 44 43 44 42 38 33 23 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 6 7 8 8 8 8 7 6 5 5 6 6 6 6 6 7 11 20 34 48 60 70 80 83 85 87 88 89 90 91 90 88 84 80 76 75 74 72 71 68 65 60 56 53 50 48 45 44 44 45 46 46 46 47 50 55 60 64 63 59 54 49 47 45 44 44 45 45 44 40 30 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 8 9 9 9 8 8 8 8 8 8 8 9 10 11 13 19 29 42 57 67 73 76 80 83 84 85 84 86 88 90 90 86 83 82 80 77 73 70 69 68 64 59 57 54 52 50 46 43 42 42 45 47 48 49 52 58 64 70 69 64 56 50 48 47 46 46 46 47 47 45 34 21 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 7 8 9 10 11 12 11 10 10 11 12 11 11 11 12 13 16 22 34 47 59 68 74 78 80 80 81 82 84 84 86 88 90 89 81 73 69 64 62 64 69 69 69 67 62 60 59 57 53 48 45 43 44 45 46 48 50 53 58 64 71 72 69 61 55 53 51 50 50 50 49 48 47 36 23 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 12 12 12 13 14 14 14 14 14 14 14 13 13 13 14 16 20 26 43 57 66 71 76 78 79 78 79 81 84 85 88 91 93 90 81 70 59 52 52 57 66 67 67 67 65 62 60 56 51 47 47 49 51 50 49 48 49 52 57 63 69 71 70 66 63 60 58 57 55 54 53 54 47 36 25 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 14 14 14 15 15 14 15 16 16 17 17 17 18 22 26 30 34 49 61 68 75 79 81 80 80 80 83 86 89 92 95 99 93 83 72 62 55 54 56 62 63 64 64 62 59 54 50 46 45 48 54 57 56 53 50 50 52 56 62 67 70 71 70 66 64 62 62 60 57 54 52 47 39 30 18 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
18 16 14 13 14 15 15 14 15 17 22 25 27 29 32 39 42 42 48 55 61 67 74 78 79 80 82 84 86 88 91 95 99 100 92 83 73 66 61 59 60 60 59 58 56 55 51 47 43 42 43 46 51 54 55 54 51 50 52 57 67 72 75 76 76 72 69 66 64 61 58 54 51 49 45 38 28 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
14 12 11 11 13 15 17 19 22 27 31 34 36 38 42 47 48 46 50 56 61 66 70 73 77 82 82 86 89 88 89 91 93 92 85 78 73 69 66 62 59 55 52 50 49 47 44 42 39 39 41 43 46 48 49 50 50 50 55 63 70 73 75 78 78 76 73 70 65 60 56 52 51 50 48 44 35 24 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 7 8 12 16 19 24 28 32 35 36 36 36 41 44 46 48 52 57 61 64 66 68 71 75 75 78 81 82 82 82 83 82 80 78 75 73 68 62 56 51 48 47 45 48 46 42 38 38 40 42 44 46 48 49 51 52 56 62 67 70 72 74 75 75 73 70 65 59 53 50 50 50 49 47 42 34 24 14 8 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
4 4 4 6 10 16 22 27 31 34 35 34 33 34 37 40 43 46 51 57 61 62 62 64 66 68 70 72 74 76 77 78 79 79 78 77 74 70 64 58 52 48 45 42 40 43 42 40 36 37 38 41 43 44 45 46 48 51 54 57 61 65 68 70 71 72 72 71 66 60 54 52 51 51 50 48 45 40 33 22 15 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 24 30 33 34 33 32 33 35 37 39 42 46 52 59 62 61 60 62 65 68 71 73 75 77 80 81 81 80 78 76 73 68 60 53 50 45 40 37 35 36 37 36 35 36 37 40 41 41 41 42 44 47 50 53 56 58 61 63 64 66 68 70 66 61 57 56 55 53 51 48 46 43 39 30 22 17 14 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2 4 8 15 25 30 33 35 34 34 35 37 38 40 42 46 54 62 66 65 65 66 70 74 76 79 82 82 82 82 81 78 75 71 68 66 58 49 44 39 35 32 31 32 33 34 34 35 36 37 37 37 36 36 36 38 41 45 50 53 55 55 56 57 61 63 60 56 54 52 50 49 48 45 44 42 40 35 30 25 22 18 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0