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 8 7 8 8 8 7 6 8 8 9 9 10 10 9 9 10 9 9 9 9 9 8 8 10 11 11 9 9 10 10 9 8 8 9 9 8 7 8 10 9 8 9 9 9 9 9 9 10 9 9 9 9 8 9 9 8 9 9 8 7 6 6 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 7 7 8 8 7 7 7 7 9 9 9 9 10 10 10 10 9 9 9 8 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 8 6 6 8 10 10 9 9 9 10 9 9 10 11 12 11 10 9 8 8 7 6 8 10 11 11 9 9 9 9 8 8 8 9 9 9 11 nan
nan 8 8 7 7 7 8 8 7 7 7 9 11 11 10 10 9 10 10 9 8 9 10 9 9 11 11 11 10 9 10 9 8 8 8 8 7 5 5 6 8 9 9 10 10 9 9 10 10 11 10 10 9 8 9 8 9 9 9 9 9 8 6 6 7 7 8 8 8 9 9 7 7 8 10 10 10 9 9 8 7 7 7 8 8 7 7 7 8 9 9 10 10 10 10 10 10 10 11 11 9 7 6 6 6 6 7 8 8 8 8 9 8 7 7 8 8 7 7 7 7 7 8 9 9 10 10 9 7 5 6 8 9 8 8 8 9 9 9 9 10 10 10 10 11 10 9 7 7 7 8 8 8 7 7 8 8 10 10 10 9 9 9 10 11 nan
nan 8 8 7 7 6 7 8 7 6 7 9 11 12 12 11 11 10 11 10 8 8 9 9 10 11 12 11 10 10 9 8 8 8 8 7 6 5 4 5 6 7 10 12 11 10 9 9 10 11 11 11 11 10 10 9 9 10 10 9 8 8 8 7 6 6 7 8 8 9 8 7 6 7 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 10 10 12 12 11 9 7 7 7 6 7 7 7 7 8 9 8 7 6 7 8 8 7 6 6 7 8 8 9 9 10 10 7 5 6 7 7 7 7 8 9 10 10 11 10 10 9 10 11 10 9 8 8 8 9 8 8 8 8 8 8 9 10 11 10 9 8 8 9 nan
nan 8 9 9 8 7 7 7 6 6 7 8 9 11 12 13 13 12 11 10 9 8 8 9 10 11 12 12 10 10 9 7 7 9 9 7 6 5 5 4 4 8 11 13 13 10 9 9 8 9 11 11 11 11 11 11 10 10 10 10 8 8 8 8 7 7 7 8 8 9 8 7 6 5 7 9 9 8 7 8 8 8 8 7 8 8 8 9 8 8 9 9 10 10 10 9 8 9 10 11 10 9 9 8 8 7 7 7 8 9 11 10 9 7 7 7 8 8 7 7 6 7 9 9 8 8 9 9 8 8 8 7 6 5 7 9 10 10 11 11 11 10 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 11 10 9 8 7 6 nan
nan 9 9 10 9 9 8 7 6 7 8 8 9 9 10 11 12 12 11 10 9 8 8 8 9 11 12 12 10 9 8 7 9 10 9 8 8 7 7 5 5 9 12 13 12 11 9 8 7 9 11 11 9 9 9 10 10 10 9 9 9 7 8 8 8 8 7 7 8 9 9 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 9 9 10 10 10 8 8 8 8 9 8 8 8 8 8 8 9 10 11 11 10 10 9 7 7 8 8 8 7 7 8 9 9 9 8 8 10 11 11 11 9 6 6 8 9 9 9 9 10 11 10 8 8 9 10 10 9 10 10 11 12 12 12 12 11 10 9 9 10 9 9 9 9 7 nan
nan 9 9 9 9 9 8 7 7 7 8 9 9 9 8 9 10 11 11 9 9 8 8 8 10 11 11 11 10 9 10 8 7 8 10 11 10 9 8 8 8 8 10 11 11 10 9 7 8 9 10 9 8 7 8 8 8 9 8 7 8 7 7 8 8 8 9 8 8 8 8 9 8 7 6 6 7 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 7 8 7 8 8 8 9 9 9 10 9 9 10 10 9 7 7 8 9 9 9 8 8 9 10 10 9 10 9 11 12 11 9 8 8 8 8 8 8 9 9 10 11 11 10 10 11 10 10 10 11 12 12 12 12 12 12 11 10 9 9 8 9 10 10 9 nan
nan 9 10 9 9 8 7 6 6 7 8 8 9 9 9 8 8 10 10 9 8 8 9 10 10 11 11 11 10 9 9 8 7 8 10 11 11 10 9 9 9 9 8 8 8 8 8 8 10 9 8 7 7 7 8 8 9 8 8 6 6 6 7 7 7 7 8 9 9 8 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 6 6 6 6 7 8 8 8 8 8 9 9 9 8 8 8 8 7 8 8 10 10 10 10 10 10 11 11 10 10 10 10 10 9 8 8 9 8 8 7 7 8 9 10 10 10 11 11 11 11 12 13 12 11 11 11 11 10 10 10 9 9 9 8 8 9 10 10 nan
nan 9 9 9 9 9 7 5 5 6 7 8 9 9 9 8 8 9 9 9 9 8 9 11 12 11 11 10 9 8 9 9 8 9 10 10 9 9 9 9 9 9 8 7 6 7 8 9 9 8 6 6 7 8 9 9 9 9 8 7 7 6 6 6 7 7 7 7 8 9 9 8 8 7 7 9 8 8 9 10 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 7 7 7 6 6 6 7 8 8 8 7 7 8 8 8 8 7 7 6 7 8 9 10 10 11 11 11 10 10 10 11 11 10 8 8 8 7 7 8 9 10 9 8 8 8 8 8 10 11 11 10 9 11 12 12 13 12 12 11 9 8 8 9 9 9 9 9 9 10 11 nan
nan 9 9 9 9 8 7 6 5 5 6 7 9 9 9 9 9 9 9 8 8 9 9 11 12 12 12 9 7 7 9 10 9 9 9 9 9 9 9 9 9 8 8 7 6 7 8 8 8 7 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 9 8 9 9 10 10 9 9 9 8 8 8 8 9 9 9 8 7 7 8 8 7 6 6 7 7 7 8 7 5 6 7 9 9 8 6 5 5 6 7 8 9 10 10 11 10 9 9 9 11 10 10 9 8 8 8 8 9 10 10 10 8 8 8 8 9 10 10 10 9 8 8 9 11 12 12 12 11 10 9 7 7 8 9 10 11 12 13 13 nan
nan 10 10 10 9 9 8 8 6 5 5 7 8 9 9 9 10 9 9 8 9 10 10 12 13 13 11 8 6 7 10 9 7 6 8 10 11 9 9 8 8 8 8 7 6 6 6 7 8 7 7 8 9 9 8 9 9 9 8 8 8 8 7 8 8 8 8 9 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 7 9 9 8 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 10 9 9 8 8 9 10 9 9 9 9 9 9 9 8 9 10 10 9 8 8 8 9 9 9 10 10 10 11 11 11 10 9 9 11 14 14 14 14 nan
nan 10 10 10 9 9 9 8 8 8 7 7 8 9 9 10 10 10 9 8 9 10 11 13 14 13 10 7 6 7 9 7 5 6 7 10 11 9 9 9 8 7 7 8 7 7 7 7 9 9 8 8 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 9 9 9 8 7 8 7 7 9 9 10 10 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 7 7 8 7 7 7 7 7 8 8 8 8 9 9 9 8 7 7 8 8 7 7 7 8 9 9 9 9 10 11 10 10 9 8 9 9 10 10 9 9 9 10 11 10 8 8 8 9 9 8 8 8 9 8 8 8 9 9 9 11 13 15 14 13 13 13 13 12 13 13 nan
nan 10 11 10 9 9 9 8 8 8 7 8 9 10 10 10 11 11 11 11 10 11 12 13 15 13 9 6 6 6 6 6 6 7 7 9 10 10 10 9 7 6 6 7 7 7 7 7 9 10 9 8 8 9 10 10 10 10 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 9 8 9 9 9 8 9 8 8 8 9 9 11 11 10 9 8 8 9 10 10 10 10 10 11 11 11 11 11 11 10 9 9 8 9 10 10 9 9 9 9 9 9 10 11 13 13 13 13 14 14 13 11 9 9 nan
nan 9 10 9 9 9 9 8 8 8 8 8 9 10 10 10 11 12 12 12 12 13 13 14 14 11 7 5 5 6 6 7 7 8 7 8 9 9 9 9 8 7 7 7 8 8 8 7 8 10 10 9 9 10 10 10 10 10 10 8 8 8 7 8 9 8 7 7 7 6 6 8 8 8 8 9 9 9 10 9 9 9 10 9 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 9 9 10 10 9 9 10 10 9 9 8 9 10 11 11 10 9 8 9 10 10 10 10 11 11 11 12 11 11 11 12 12 11 10 9 9 10 11 11 11 12 11 10 11 11 11 10 9 10 11 12 12 11 9 7 5 nan
nan 8 9 10 10 9 9 9 8 8 8 8 9 11 12 11 12 12 12 12 13 14 15 14 11 8 6 4 5 6 7 8 7 7 7 7 9 9 7 7 8 8 8 8 9 9 7 6 7 10 11 11 11 10 10 10 10 10 10 9 8 8 7 7 8 8 7 7 7 6 7 8 8 8 8 8 9 10 9 10 9 8 9 9 9 8 7 8 8 8 9 10 9 9 9 10 10 11 12 12 13 12 12 12 11 11 10 10 10 9 9 10 10 10 10 9 8 8 9 10 11 12 12 11 11 10 11 12 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 10 12 13 13 12 12 12 11 10 9 9 9 9 10 8 7 7 5 4 nan
nan 8 9 10 10 9 9 9 10 9 8 7 9 11 13 13 13 13 12 13 13 14 14 12 9 7 6 5 6 7 8 8 7 6 6 7 8 8 6 6 7 8 8 8 9 8 7 6 7 9 11 12 13 12 10 10 9 8 10 9 8 8 7 8 8 8 8 8 7 6 7 8 9 9 8 7 8 9 9 9 9 9 9 9 9 9 8 7 8 9 9 10 11 11 11 12 12 12 13 14 14 13 13 12 11 10 10 10 10 9 9 11 11 9 8 7 8 8 10 12 12 12 12 11 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 10 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 9 8 7 7 7 6 6 7 6 nan
nan 8 8 9 10 10 9 10 10 9 9 8 9 11 14 15 15 14 14 14 14 13 12 10 8 8 7 6 6 7 8 8 7 6 6 6 6 5 4 6 9 11 10 9 8 7 6 7 8 9 10 12 13 13 11 10 8 7 8 10 8 7 7 8 8 9 9 9 9 8 7 8 8 9 8 8 8 8 8 8 9 10 10 10 10 10 10 8 7 7 8 9 10 11 12 12 13 13 13 14 13 13 12 13 12 12 11 11 12 12 12 12 10 9 8 8 8 9 12 14 13 13 11 10 10 11 11 11 11 10 10 10 10 10 9 10 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 8 9 8 7 7 8 8 6 6 7 7 8 8 9 nan
nan 9 9 9 10 10 10 10 10 10 11 10 10 12 13 14 14 15 16 17 16 14 11 9 9 8 8 8 7 6 7 8 7 6 6 6 6 4 3 5 10 14 13 10 7 5 6 7 8 9 10 11 12 12 10 10 9 6 7 8 8 8 8 9 10 11 11 12 12 11 9 8 8 9 9 8 9 9 9 8 9 9 10 9 10 10 11 10 9 7 6 7 8 10 11 12 14 14 14 13 13 13 13 13 13 13 12 12 13 14 13 11 10 9 8 8 9 10 11 12 11 11 10 9 8 9 10 10 10 10 10 10 10 10 9 9 8 9 8 7 7 7 6 6 7 7 8 7 7 7 8 8 7 5 6 8 8 8 8 8 8 8 9 8 10 nan
nan 10 10 10 10 10 10 10 11 11 11 11 13 13 12 12 13 14 16 16 15 14 11 10 10 10 9 9 7 7 7 7 7 6 6 6 6 5 5 7 10 13 13 9 6 5 6 8 9 9 10 11 12 11 10 10 9 8 7 8 8 9 11 13 14 15 16 15 15 14 12 10 8 7 8 9 9 10 9 9 8 8 8 8 9 10 11 11 11 11 10 8 8 8 9 10 13 15 15 14 13 13 13 12 11 11 11 11 12 12 11 10 8 7 7 7 8 9 9 8 8 7 7 8 7 8 9 9 9 9 10 10 10 9 9 9 8 7 7 6 6 6 6 6 8 8 7 7 7 7 7 6 6 7 7 9 9 9 10 10 9 9 9 9 10 nan
nan 10 10 10 10 10 10 10 11 11 11 12 13 14 12 11 12 14 14 14 13 13 13 12 11 11 10 9 8 8 7 6 6 5 5 5 5 6 6 7 8 10 11 9 7 5 6 8 9 10 11 11 11 11 11 10 9 9 9 9 9 10 13 17 17 18 17 15 14 15 13 12 10 9 8 8 8 8 8 8 7 7 8 8 10 10 10 11 11 12 13 12 9 7 6 7 11 13 11 10 9 9 9 10 9 8 8 8 8 8 8 8 7 5 6 7 8 8 8 6 6 6 6 7 8 8 9 9 9 10 11 11 10 9 9 8 7 7 5 5 5 5 6 8 9 8 7 7 8 8 6 6 8 10 10 10 10 10 10 10 9 9 9 10 10 nan
nan 10 10 10 11 11 11 11 11 11 11 12 13 13 12 12 12 13 12 12 12 13 13 12 12 11 11 10 9 8 8 7 6 5 5 4 4 5 6 7 7 7 7 8 7 6 6 6 8 9 11 11 11 11 11 11 9 8 8 8 9 11 17 19 17 16 14 13 12 12 12 10 10 9 8 8 7 7 6 6 7 8 9 9 9 8 7 8 10 11 13 12 9 6 4 5 6 5 1 2 5 5 5 7 8 8 7 6 6 6 6 7 7 6 6 6 7 8 7 6 6 5 6 7 8 8 8 8 9 10 11 11 10 9 8 7 7 6 5 5 4 4 6 8 9 9 9 10 11 10 8 9 10 11 11 11 11 10 10 9 8 9 9 11 10 nan
nan 10 11 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 11 10 11 12 13 12 12 11 11 10 9 8 7 8 7 7 6 5 5 6 6 6 7 7 6 7 7 6 6 5 6 8 10 11 11 10 10 10 8 7 7 7 9 14 20 19 15 11 9 9 9 10 9 8 9 9 7 6 6 7 7 8 8 9 10 10 9 7 6 8 9 11 12 12 9 7 5 5 4 2 0 3 6 6 8 10 10 9 8 7 6 5 5 6 6 7 7 6 6 7 7 7 6 4 5 7 8 8 8 9 10 10 9 9 9 8 7 6 6 7 6 7 6 6 7 8 8 10 11 12 11 10 10 10 9 9 9 9 9 9 8 8 8 8 9 10 10 nan
nan 11 10 12 12 12 12 12 12 11 11 11 11 11 12 13 12 11 10 10 10 11 12 12 12 11 10 9 9 8 8 8 8 8 8 7 7 6 6 6 5 7 8 8 8 7 6 5 5 7 8 10 10 9 8 7 6 6 5 6 9 16 19 15 11 8 7 8 10 10 8 8 10 9 7 6 7 8 9 10 11 12 12 13 13 11 9 9 10 11 11 11 10 8 8 8 8 9 10 11 12 13 13 13 13 12 10 10 9 8 6 6 7 7 7 7 6 5 6 7 6 5 5 5 6 7 8 10 10 8 8 8 8 7 6 6 6 7 7 8 8 8 8 9 10 10 10 10 10 10 11 10 9 8 8 8 9 8 8 7 7 7 9 9 9 nan
nan 12 11 12 13 13 13 13 13 12 11 11 11 12 12 12 12 11 10 10 11 11 10 11 11 11 10 9 9 8 8 8 8 8 9 9 8 7 7 7 6 7 8 8 8 8 6 6 7 7 7 8 10 9 7 6 5 4 4 6 8 13 16 12 9 8 9 11 13 12 11 10 10 9 8 8 8 8 8 8 10 13 15 17 16 14 12 10 10 10 11 10 9 9 10 11 11 12 14 16 18 18 17 15 14 13 12 12 14 14 12 10 8 7 7 7 7 6 6 6 5 5 5 5 4 4 5 7 7 7 6 6 7 6 6 6 7 8 8 8 8 7 9 10 10 9 10 8 8 10 10 10 10 10 10 10 10 8 8 8 8 9 9 8 8 nan
nan 12 12 13 13 13 13 13 13 12 12 13 13 14 13 12 11 10 10 11 11 11 11 10 10 11 11 10 9 8 7 7 7 8 9 9 8 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 9 8 7 7 6 5 5 6 8 16 18 14 11 11 12 12 11 11 10 9 8 7 7 8 9 8 8 8 8 10 13 15 15 13 12 10 10 10 9 9 9 10 11 11 11 11 13 17 20 18 15 12 12 11 11 12 15 17 17 13 11 10 9 9 8 8 8 8 7 7 7 6 4 1 -0 1 3 4 6 6 7 8 7 6 6 7 7 7 8 9 10 9 8 8 8 6 7 8 9 9 10 11 11 11 9 8 9 9 9 9 9 10 9 nan
nan 13 13 13 13 13 13 13 12 13 14 15 15 14 13 12 11 10 11 11 12 12 12 11 10 11 11 10 9 8 7 6 7 8 9 9 9 9 8 7 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 10 18 19 15 12 11 11 10 8 7 6 5 2 2 5 8 9 9 7 8 8 8 10 11 13 13 12 11 10 10 9 9 10 10 10 11 10 10 11 13 12 10 9 9 11 10 10 10 10 14 17 14 11 10 10 9 9 9 11 14 13 11 11 10 9 5 0 -2 -1 2 4 7 8 9 9 8 7 7 7 8 10 12 12 9 7 6 7 9 9 10 10 10 11 12 12 11 9 8 8 8 8 9 9 9 8 nan
nan 13 14 14 14 14 14 13 13 14 15 15 14 13 12 12 11 11 11 12 12 12 12 12 11 11 11 10 9 9 8 6 7 7 7 8 9 9 8 7 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 10 11 10 9 12 13 12 10 9 7 6 5 5 4 2 -1 -1 4 8 8 7 7 7 7 8 9 11 12 12 12 12 10 11 10 10 10 9 9 9 8 7 8 6 5 4 7 10 11 11 10 9 8 9 10 11 9 8 8 8 6 6 9 15 18 17 16 16 16 14 10 6 2 2 5 6 7 8 9 9 8 7 7 9 10 11 9 7 6 8 9 11 12 13 13 13 13 12 11 9 8 9 9 9 9 9 8 7 5 nan
nan 14 14 14 13 14 14 13 15 16 16 15 13 11 11 11 10 10 11 11 12 12 11 12 11 11 11 11 9 8 8 7 8 8 7 8 10 9 7 8 9 8 8 7 6 6 6 7 7 7 7 7 8 8 7 8 8 9 10 9 9 9 11 10 8 6 5 4 4 4 5 4 -0 -2 3 7 9 9 10 9 8 8 9 12 13 12 12 12 11 12 12 10 9 8 6 5 5 5 6 6 6 7 10 12 12 11 11 9 9 9 9 9 9 9 8 7 6 5 6 9 12 15 17 19 20 20 20 18 11 7 7 7 6 6 6 7 7 7 8 9 9 8 7 7 9 10 10 11 12 14 13 12 11 10 9 8 8 9 10 10 10 9 9 7 8 nan
nan 14 14 14 14 13 13 14 17 16 15 13 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 8 8 9 8 8 10 11 10 9 8 8 8 9 7 6 5 5 6 7 8 7 7 8 8 8 9 9 9 9 9 11 11 11 9 7 7 6 6 6 6 7 5 1 -0 3 7 9 11 12 13 11 9 9 12 14 14 14 12 12 11 10 9 7 5 4 4 5 8 10 12 13 12 13 15 16 15 14 11 11 11 10 10 11 10 10 9 8 8 7 7 8 10 11 16 20 21 23 22 18 14 10 8 7 6 6 6 7 7 8 9 10 10 10 9 10 10 9 9 11 11 11 10 9 9 9 8 8 9 9 10 12 11 11 12 14 nan
nan 13 13 14 14 14 13 14 15 14 12 11 10 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 9 9 8 8 9 8 7 9 11 11 10 9 9 9 9 7 6 6 5 5 6 8 8 8 8 9 9 9 9 10 9 9 13 14 12 8 7 8 8 8 8 8 8 6 2 3 6 10 11 11 12 12 12 10 9 12 15 16 15 13 12 10 7 5 5 6 7 9 11 13 14 14 15 14 14 18 22 23 18 14 13 11 11 9 9 9 9 9 9 9 9 9 10 10 10 12 17 21 26 27 21 16 12 9 7 8 8 7 7 8 9 10 11 11 10 9 10 9 9 9 9 10 11 10 11 11 12 11 10 11 12 13 13 13 13 15 16 nan
nan 13 13 13 14 14 14 13 12 11 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 6 7 9 9 9 9 10 10 9 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 8 9 14 14 11 8 8 9 9 9 9 9 8 6 4 5 10 14 13 12 11 10 9 10 10 13 16 17 15 12 10 9 7 7 8 9 11 12 13 14 13 12 11 10 13 19 25 28 26 22 17 13 10 9 8 8 9 9 9 10 10 11 11 11 12 17 25 33 36 31 26 21 17 13 12 10 10 10 11 11 10 10 11 11 11 10 10 10 10 10 11 12 12 12 13 14 14 15 14 14 14 14 13 13 14 15 15 nan
nan 12 12 13 13 13 12 12 11 9 9 9 9 9 8 9 9 9 9 9 9 9 10 9 9 10 9 8 8 9 9 10 9 8 7 7 8 8 7 7 9 10 10 9 8 9 10 10 10 9 9 9 10 12 12 11 11 10 9 9 12 12 11 10 9 9 9 9 8 8 8 6 5 7 12 15 14 13 12 10 9 9 10 13 16 16 12 8 8 9 9 10 11 12 12 11 11 12 11 10 9 8 10 14 18 22 27 27 22 15 11 9 8 9 9 9 10 10 11 12 12 11 12 17 26 32 28 23 23 22 20 18 17 14 13 12 14 13 11 11 11 11 11 11 11 11 11 10 10 11 12 12 13 13 15 15 15 15 14 14 14 14 15 14 13 nan
nan 12 12 12 12 11 11 11 10 9 8 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 9 8 7 7 7 8 9 10 10 9 9 10 12 12 11 10 10 11 12 12 11 10 10 10 10 7 8 10 10 10 9 9 9 9 8 8 8 7 10 13 13 12 12 12 12 11 9 10 12 14 13 9 7 7 9 10 11 11 12 12 12 11 11 11 10 9 10 11 12 11 11 16 21 20 15 10 9 9 10 10 10 10 11 11 11 11 11 11 12 13 13 8 9 12 14 14 15 16 14 12 11 12 10 10 10 10 9 8 9 9 9 10 6 2 4 6 8 10 12 13 14 14 14 13 14 15 16 15 13 12 nan
nan 11 10 11 11 11 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 9 10 9 8 8 9 9 9 9 11 10 9 10 9 10 12 12 12 12 12 11 10 11 10 11 10 7 7 10 11 9 8 9 9 9 10 10 10 9 9 11 11 10 10 12 13 13 11 11 11 11 9 8 8 8 9 9 11 12 13 12 11 10 10 10 9 10 13 14 13 8 5 9 13 17 14 10 10 10 10 11 10 10 10 9 10 9 10 10 9 8 5 0 -0 3 6 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 7 6 3 3 4 6 8 11 14 14 13 12 12 13 14 14 13 12 12 nan
nan 11 9 10 11 11 11 10 10 10 10 11 10 10 9 8 8 9 9 10 9 10 9 8 8 8 8 9 9 9 9 10 10 9 10 11 10 9 8 9 9 9 10 10 10 10 10 9 9 11 13 14 14 13 10 10 10 10 10 9 8 7 9 10 8 8 8 8 9 10 10 10 8 7 7 8 9 10 10 11 12 12 12 11 11 9 9 10 11 10 9 10 14 16 13 10 9 9 8 8 11 14 14 12 7 4 7 11 15 13 10 11 11 11 11 10 10 9 9 9 9 9 9 8 7 2 -1 -2 2 5 5 6 5 6 7 7 7 7 7 7 8 8 9 9 9 9 10 11 12 11 8 7 7 10 12 10 10 9 11 13 13 12 11 10 11 nan
nan 10 9 10 10 11 11 10 11 11 11 11 11 10 10 9 8 8 9 10 10 10 10 9 8 8 9 10 11 10 11 11 11 11 11 12 12 11 10 9 9 8 10 10 10 11 10 11 11 12 14 16 17 15 12 11 11 10 9 10 10 11 11 9 8 8 8 8 8 8 9 8 6 5 6 8 9 10 9 9 10 11 12 13 13 12 11 11 12 11 9 8 13 17 17 14 12 10 9 9 14 17 17 10 4 4 7 12 15 13 11 11 11 11 11 11 10 9 9 9 9 9 9 9 7 5 1 1 7 7 -0 2 5 6 7 7 8 9 10 11 12 12 12 12 14 15 17 17 17 18 14 7 5 5 5 6 7 8 10 11 10 10 9 8 8 nan
nan 10 10 10 10 11 11 11 11 12 11 11 11 10 10 10 9 9 9 10 10 10 10 9 10 10 10 11 11 11 11 12 12 11 12 12 12 12 11 11 11 11 11 12 12 13 13 12 13 14 15 17 18 16 13 12 13 12 10 11 12 12 13 11 9 8 8 9 8 8 6 5 4 4 5 7 9 10 9 7 7 9 11 15 16 15 12 10 11 12 10 7 9 13 15 17 16 15 14 17 21 21 15 7 4 4 7 12 18 17 13 11 10 11 11 10 10 10 10 9 10 9 9 9 11 10 8 7 9 6 1 2 5 8 7 7 11 13 14 13 10 9 8 9 15 20 21 19 18 17 12 7 4 4 5 5 7 9 10 9 8 7 6 6 6 nan
nan 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 11 12 12 12 12 13 13 13 13 14 14 15 15 14 14 15 16 17 17 17 15 12 13 13 10 12 12 13 14 12 10 9 9 10 10 9 7 4 3 5 6 7 8 9 9 7 6 6 8 12 14 13 10 8 8 10 10 9 8 9 11 14 17 21 25 28 25 19 10 6 4 4 6 10 17 18 14 12 11 10 10 11 11 11 11 10 10 10 11 12 14 13 12 12 10 7 6 7 8 7 6 8 11 13 13 11 9 8 8 8 12 19 20 19 17 14 8 4 5 9 10 9 9 10 9 8 7 5 5 5 5 nan
nan 10 10 11 11 12 11 11 11 10 10 9 10 11 11 11 11 10 10 11 11 10 10 10 12 12 13 13 12 13 13 13 13 13 11 11 12 12 13 14 14 13 14 15 15 16 16 15 14 14 14 14 15 16 14 13 13 13 11 12 12 13 14 13 11 9 10 11 12 11 10 7 6 6 7 8 8 8 9 9 8 6 5 6 7 7 7 7 8 9 10 10 9 8 8 9 12 19 28 28 21 12 7 5 5 4 4 6 12 16 15 13 11 11 11 12 12 12 11 11 11 11 13 13 13 12 11 11 11 10 10 9 9 8 9 10 10 11 11 10 10 11 13 14 14 14 14 16 15 12 9 6 8 12 12 11 9 9 9 8 7 7 7 7 7 nan
nan 11 12 12 12 12 10 10 10 10 9 9 10 12 11 11 11 11 11 12 11 11 10 11 12 12 13 12 13 13 13 13 13 12 12 11 11 11 11 13 14 14 14 14 14 15 16 16 14 13 12 11 12 14 14 14 14 14 13 12 12 11 13 13 11 10 10 11 11 10 9 10 10 9 8 8 8 8 8 10 10 9 6 4 3 4 6 8 10 11 12 11 11 10 8 8 9 14 17 16 13 9 7 6 5 5 4 5 8 11 13 11 11 11 11 12 12 12 14 15 14 13 13 12 10 8 8 9 10 10 10 10 9 10 10 10 11 11 12 12 12 13 14 15 15 14 13 13 13 12 13 14 13 13 12 11 10 9 9 9 9 9 9 9 9 nan
nan 12 12 12 12 11 10 9 11 11 10 9 10 11 11 10 10 10 11 12 11 11 11 11 10 11 11 12 13 13 13 13 13 12 12 11 10 10 11 12 13 14 14 13 13 13 15 15 13 11 10 10 11 12 13 14 14 14 14 14 12 10 9 11 12 11 10 9 8 7 8 10 12 11 8 8 8 7 8 10 11 11 10 8 7 7 9 11 13 13 13 12 12 11 11 13 15 13 10 8 8 7 7 6 6 6 5 5 6 8 10 11 11 11 11 11 11 15 20 22 20 16 14 13 10 7 7 9 10 11 11 10 10 10 12 12 12 13 13 13 14 14 13 13 13 13 14 13 13 13 14 16 15 13 11 10 10 9 9 8 9 9 9 9 9 nan
nan 12 12 11 10 11 11 10 10 10 10 9 10 10 10 9 8 9 11 11 11 10 11 11 11 10 10 10 12 13 13 14 14 13 12 10 10 11 12 12 12 13 14 12 12 11 12 12 11 10 10 11 11 12 12 13 14 13 11 13 14 11 7 8 12 13 10 7 6 7 8 10 11 10 7 8 8 8 8 9 11 12 12 12 12 13 15 15 15 13 11 11 10 10 12 16 18 13 7 6 6 7 7 6 6 6 6 6 6 7 8 10 11 11 12 12 14 20 24 24 19 15 15 13 12 10 9 11 12 11 11 11 12 13 12 12 13 13 13 13 13 13 13 13 12 12 13 13 13 12 12 12 11 11 10 9 9 9 8 8 9 10 9 9 11 nan
nan 10 10 10 11 12 11 10 10 9 8 8 8 9 9 8 7 9 11 12 12 10 10 10 11 11 10 10 11 12 13 13 14 13 12 10 10 12 12 13 12 12 12 11 10 9 10 11 10 10 10 12 13 12 12 13 12 12 11 11 13 13 9 7 10 13 12 9 7 7 9 10 10 8 7 7 8 9 9 10 13 14 14 14 14 14 15 14 12 11 9 7 8 8 9 14 15 11 8 6 6 7 7 7 7 7 7 6 6 7 6 7 10 11 14 18 23 23 19 14 11 12 12 12 11 11 12 13 13 11 11 11 12 13 12 12 11 12 12 12 12 13 13 12 12 12 12 12 11 11 10 10 9 9 9 10 10 10 9 9 10 10 10 10 11 nan
nan 10 10 10 11 11 10 10 9 9 9 9 8 7 7 7 7 10 12 13 13 11 10 10 11 11 10 10 10 11 11 11 12 12 11 10 11 13 13 12 12 12 11 10 9 8 9 10 11 10 10 11 13 13 12 13 13 12 11 10 12 16 15 11 8 9 12 12 11 10 10 10 9 7 5 6 8 8 8 11 14 15 14 13 12 10 8 7 6 6 7 7 7 8 10 15 15 12 9 7 7 7 7 7 7 7 8 8 7 7 7 7 7 10 16 21 22 17 10 6 6 9 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 11 11 11 10 11 11 nan
nan 11 11 10 10 10 10 10 9 10 10 8 8 7 6 7 9 11 11 12 12 12 11 11 11 10 10 10 11 11 10 10 9 9 9 10 11 13 13 12 12 10 10 9 9 9 9 10 11 11 10 10 10 11 12 13 14 13 11 10 8 12 18 18 14 11 13 14 13 11 11 10 8 6 3 5 7 7 9 11 12 11 10 7 6 4 3 2 4 6 8 9 10 11 14 20 19 14 9 7 7 7 7 7 8 8 8 8 8 9 9 8 9 11 14 15 12 8 5 3 5 7 8 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 10 10 10 11 11 11 11 11 9 9 8 9 10 10 10 9 8 9 10 10 10 10 10 10 nan
nan 11 10 10 10 10 11 10 9 10 10 9 8 7 7 8 9 10 10 11 12 12 12 12 11 10 9 10 10 11 10 8 7 8 8 10 11 12 11 12 12 10 9 9 10 10 10 10 11 10 10 9 9 10 10 11 14 14 12 10 5 2 8 16 20 19 19 16 13 11 10 9 9 7 3 4 8 10 11 10 7 3 3 3 2 3 4 5 7 10 11 12 13 15 20 22 20 15 9 7 8 7 7 7 8 8 9 9 7 8 9 9 12 14 12 9 6 5 5 4 4 6 7 8 9 9 9 9 9 10 9 9 9 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 8 9 10 10 10 9 9 nan
nan 12 11 9 9 10 11 10 10 10 10 9 8 8 8 8 8 8 10 11 12 11 11 12 11 9 9 9 9 10 10 8 6 7 8 10 10 10 9 11 13 11 9 9 11 12 11 10 11 11 11 10 9 9 9 10 11 12 12 11 5 -1 -0 7 16 24 26 20 13 9 9 9 9 10 8 8 11 12 12 8 3 1 2 3 4 6 7 10 12 14 15 15 17 19 24 23 19 13 10 8 8 7 8 8 8 9 10 10 6 3 6 9 13 13 9 6 5 5 5 5 4 5 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 9 10 10 9 9 8 8 9 8 8 8 9 10 11 12 11 10 11 10 9 nan
nan 11 11 9 9 11 11 10 10 10 10 9 8 9 9 8 9 10 10 10 11 11 11 11 10 9 9 9 10 10 9 8 6 7 10 11 10 8 7 9 11 10 9 9 11 12 11 10 11 11 12 11 10 9 9 9 9 10 11 10 7 3 0 1 8 24 32 27 15 8 8 9 11 12 13 15 16 15 12 7 9 11 11 8 8 9 10 12 15 16 17 19 22 27 27 21 16 11 9 9 9 9 9 10 10 10 10 9 5 2 4 7 10 10 8 5 5 6 5 4 5 6 7 7 7 8 8 8 8 8 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 8 8 7 8 9 10 11 12 13 13 14 14 13 12 10 10 10 nan
nan 11 11 11 11 11 11 10 9 9 9 9 10 10 9 9 10 10 11 11 11 11 11 11 10 10 10 11 11 10 9 9 8 9 11 12 9 7 6 8 9 10 9 9 9 9 10 10 10 11 11 11 10 10 9 8 9 10 10 9 8 5 1 -1 3 16 27 26 18 12 11 11 13 14 16 17 16 14 9 7 14 21 21 15 11 11 13 17 21 23 24 26 28 28 24 17 12 10 10 10 10 11 11 12 11 10 10 9 6 5 5 7 9 9 8 8 7 6 5 5 6 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 9 10 10 9 10 10 9 9 9 8 7 7 6 7 8 11 12 13 14 13 13 13 13 13 11 11 10 10 11 nan
nan 10 11 12 12 11 10 8 8 9 9 11 12 11 10 10 10 10 11 11 11 11 11 11 11 10 11 12 11 11 10 9 10 12 12 11 9 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 9 9 9 8 6 3 -1 1 9 16 19 18 15 14 14 15 15 16 16 14 8 0 -0 9 19 22 17 12 12 16 24 30 33 34 32 27 20 15 12 11 10 10 10 11 12 11 11 10 9 9 10 11 10 8 9 10 10 9 8 7 5 4 5 8 8 7 7 7 7 8 9 9 9 9 9 10 10 10 10 9 10 9 10 10 10 10 9 8 7 6 7 8 9 12 13 14 14 13 12 12 12 13 12 11 12 14 15 15 nan
nan 11 12 12 11 10 9 8 8 9 10 12 12 11 10 9 10 10 10 10 10 10 11 11 11 11 12 12 12 11 9 8 10 11 11 10 9 9 9 8 8 8 8 8 7 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 7 7 5 2 -1 0 4 9 12 10 10 12 17 17 15 13 10 6 1 1 5 12 16 15 15 19 24 29 31 30 28 23 17 12 10 9 9 8 9 9 9 8 7 5 5 6 8 15 19 16 11 9 9 8 8 6 3 3 4 7 8 7 6 6 7 7 8 8 8 9 9 10 10 10 10 10 10 9 9 10 10 10 10 9 7 7 8 10 12 13 13 13 13 12 11 12 13 13 13 13 13 15 16 17 17 nan
nan 11 11 11 10 8 8 9 9 9 11 12 11 9 8 8 8 9 9 9 9 9 10 11 10 10 11 12 12 10 8 7 9 10 10 9 9 9 9 9 9 8 8 8 8 7 8 9 9 8 9 9 9 9 9 9 9 8 8 7 7 7 7 5 0 -3 -4 -3 1 1 2 7 14 16 14 10 7 7 9 10 10 9 11 17 22 28 28 22 19 15 12 10 8 8 7 7 6 7 6 5 5 4 4 4 6 6 9 18 24 22 14 9 7 7 6 3 2 4 6 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 9 10 9 9 9 10 10 9 8 8 10 11 12 13 13 12 11 11 11 11 11 12 12 12 13 14 15 15 15 14 nan
nan 10 10 11 10 8 9 10 10 11 11 11 9 7 6 7 8 8 9 9 8 7 8 9 10 9 10 11 11 10 9 8 8 8 9 9 9 9 9 9 9 8 8 7 8 8 8 9 10 10 9 9 10 10 9 9 9 9 8 8 7 8 9 7 4 0 -2 -3 -2 -0 1 5 8 8 5 2 -0 2 7 9 10 9 13 20 22 21 17 10 6 3 4 5 5 4 3 4 7 9 9 9 8 8 8 7 7 7 12 19 23 18 10 7 8 7 6 4 4 6 8 7 7 7 7 8 9 10 10 10 10 10 10 11 11 10 10 10 10 9 9 10 10 9 10 10 11 13 13 13 13 12 11 10 10 10 11 11 11 11 11 12 13 13 13 12 11 nan
nan 10 11 11 10 10 10 11 10 11 11 9 8 7 7 7 8 9 9 9 8 7 7 8 9 9 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 8 9 9 8 8 9 9 10 11 11 10 10 11 10 10 10 9 8 8 9 10 10 9 7 5 4 3 3 5 6 6 6 4 1 -1 -4 -5 -1 4 8 11 18 17 11 6 3 2 0 1 5 5 4 6 9 12 14 15 14 11 9 10 10 8 7 9 14 17 16 10 4 6 8 9 7 7 7 8 7 6 6 7 7 8 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 11 11 12 11 11 11 12 11 11 11 11 nan
nan 11 11 11 11 10 10 10 10 10 10 9 7 7 8 10 10 9 10 10 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 10 11 11 11 12 12 11 11 11 12 11 11 10 10 10 10 11 11 10 9 8 7 7 8 9 9 9 8 7 6 5 4 2 1 3 8 13 14 10 6 3 1 2 3 4 8 8 5 6 12 18 17 14 10 7 4 4 6 7 9 13 14 12 9 5 4 6 8 9 9 9 8 7 6 5 5 6 7 7 8 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 12 12 nan
nan 11 11 10 10 10 9 9 9 10 10 9 7 8 9 10 10 9 9 10 10 9 8 8 8 9 9 9 9 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 11 12 12 13 13 13 13 12 12 12 12 12 12 11 11 12 11 11 11 11 10 9 8 8 8 9 10 11 11 11 10 10 10 9 9 9 10 10 10 9 7 7 6 6 7 7 8 9 6 4 6 6 3 2 2 2 2 3 5 6 8 11 11 9 7 6 6 6 7 8 8 8 8 6 6 5 5 6 8 10 11 11 10 10 11 11 10 10 9 10 10 10 10 10 10 10 10 11 10 9 10 10 10 10 10 10 10 10 11 11 11 12 11 11 11 11 11 11 12 13 12 nan
nan 11 11 11 10 10 8 8 9 10 10 9 8 9 9 9 7 7 9 11 11 10 8 8 9 9 10 10 10 10 10 8 8 8 8 9 9 10 10 10 10 10 11 11 12 13 13 13 13 13 13 12 12 13 12 12 13 13 13 12 12 11 10 10 11 11 11 12 14 15 14 12 12 11 11 11 11 11 11 12 11 10 11 12 13 11 10 9 8 8 7 7 5 2 0 0 -1 -1 0 2 4 5 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 11 13 14 15 14 11 10 9 9 9 10 9 9 9 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 12 11 11 11 11 11 12 13 12 11 nan
nan 12 11 11 10 9 8 8 9 10 10 9 9 10 10 9 7 8 9 11 12 11 9 9 8 9 11 16 17 17 16 15 13 12 11 10 9 9 14 18 18 17 14 12 10 11 12 11 12 12 12 13 12 13 13 13 13 14 13 12 11 10 11 15 19 23 23 24 25 24 21 15 12 12 11 12 12 12 12 11 10 9 8 11 17 21 18 12 9 7 7 5 4 3 2 2 2 2 3 4 4 5 6 5 5 6 7 8 9 9 8 9 9 9 9 8 9 9 10 10 11 12 13 13 13 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 12 11 11 12 12 12 13 12 11 10 nan
nan 11 11 10 9 9 8 9 10 11 10 9 9 11 11 10 9 9 9 11 11 10 9 9 7 4 4 11 19 26 28 27 25 24 20 15 10 6 13 22 26 27 26 23 17 14 12 12 14 15 15 14 13 14 15 16 17 16 13 11 11 12 19 27 31 30 31 31 30 26 20 16 15 14 15 15 16 17 19 16 13 10 3 1 10 23 23 15 9 8 7 6 4 3 4 3 4 3 4 5 5 6 6 6 7 7 8 9 9 9 9 10 11 11 12 11 10 10 10 10 10 10 11 11 11 11 10 9 9 10 10 9 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 12 12 13 12 12 12 11 11 11 nan
nan 11 10 10 10 9 8 9 11 10 10 10 10 11 11 11 10 10 9 10 11 11 10 9 6 -1 -6 -3 3 15 25 29 29 31 32 24 10 -4 -2 13 20 25 29 28 26 21 15 14 18 23 23 20 16 16 17 19 21 23 22 18 17 22 32 35 30 24 23 23 22 20 16 15 17 21 23 21 19 20 25 29 30 24 12 1 -0 13 23 18 10 9 7 7 6 6 5 6 6 6 6 7 7 8 8 8 8 9 10 10 10 9 9 10 10 11 12 12 11 11 10 10 11 10 11 11 11 11 11 10 10 10 10 10 9 10 10 10 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 10 10 11 12 12 11 12 13 12 11 10 11 12 nan
nan 10 11 12 10 8 8 10 11 11 10 10 10 11 11 11 10 10 10 10 11 11 11 10 6 -1 -7 -11 -12 -6 6 15 18 23 31 28 14 -2 -6 3 9 14 18 20 23 23 16 13 20 28 31 28 21 17 15 15 19 27 35 35 34 37 36 29 21 15 14 15 15 14 13 14 16 19 21 19 17 17 21 28 32 29 20 9 4 12 21 19 12 10 9 8 7 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 12 12 12 12 13 12 11 11 12 12 nan
nan 10 11 10 9 8 8 10 11 12 12 10 10 11 11 11 11 10 10 11 11 11 10 10 7 3 -2 -6 -10 -16 -11 -1 5 11 19 22 17 10 5 7 9 11 12 14 17 18 14 12 16 22 27 30 27 20 12 8 5 16 32 38 37 34 27 20 15 13 12 11 11 11 10 11 11 11 11 11 10 11 13 14 13 10 8 12 17 18 17 15 11 10 9 9 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 10 10 10 10 10 11 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 12 12 12 nan
nan 11 10 9 9 9 10 11 12 12 12 12 10 11 11 12 12 11 11 11 11 11 10 9 8 7 5 3 -1 -9 -15 -14 -7 -1 4 9 12 13 14 13 13 13 13 14 14 15 14 14 14 16 19 26 32 28 16 4 -2 2 13 20 22 20 17 15 13 12 11 10 9 8 7 7 7 7 7 7 7 7 7 4 1 -2 1 11 21 21 16 12 10 9 9 8 8 8 9 9 9 10 10 10 11 11 11 12 11 11 11 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 12 12 11 11 11 12 12 12 13 nan
nan 11 11 11 11 12 12 12 11 10 11 11 11 11 12 11 11 10 10 10 10 11 11 9 9 8 8 7 6 3 -3 -8 -12 -12 -8 0 9 13 15 14 14 14 15 15 15 16 17 17 16 16 17 22 32 37 29 15 2 -1 1 4 8 12 14 14 12 11 10 9 8 6 6 6 7 7 7 8 7 6 4 2 -1 -3 1 10 21 25 19 12 9 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 11 11 12 12 12 12 11 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 8 8 10 11 11 10 11 11 11 11 11 10 11 12 12 12 13 12 nan
nan 12 13 13 13 14 13 11 9 9 10 11 12 12 11 10 9 9 9 10 10 10 11 10 10 10 10 9 8 8 6 2 -3 -10 -11 -5 4 11 14 14 14 14 14 14 15 18 19 19 19 18 18 20 27 34 35 27 16 9 5 5 5 6 12 14 12 10 10 9 7 7 8 8 8 8 8 8 9 8 6 3 1 0 2 7 16 24 21 12 10 9 8 9 9 10 10 10 11 11 11 11 12 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 12 12 13 12 11 9 9 8 8 9 10 10 10 11 10 10 11 10 11 11 11 10 10 10 10 10 10 11 10 8 10 13 12 11 10 10 10 10 11 11 11 11 11 11 11 12 12 nan
nan 13 13 13 13 13 11 9 9 10 9 9 10 10 10 10 9 9 10 10 10 10 11 10 11 11 10 10 9 10 9 7 5 -1 -7 -7 -3 4 10 13 13 13 12 12 14 16 18 20 19 19 17 17 19 22 26 28 27 25 22 19 11 5 8 11 11 10 9 9 8 8 9 9 10 9 9 9 8 7 7 6 5 5 6 8 12 16 15 11 9 9 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 12 12 11 11 11 11 10 10 10 11 11 11 11 12 11 9 8 9 10 10 10 10 10 9 9 10 10 10 10 10 11 10 10 10 10 11 11 10 10 11 11 12 11 10 10 10 10 10 11 10 11 11 11 11 11 11 11 nan
nan 12 12 12 12 11 10 10 10 10 9 9 9 9 10 10 9 9 10 10 10 11 11 11 11 10 11 11 10 10 10 10 10 7 2 -2 -4 -3 1 5 8 10 9 8 9 11 14 18 19 19 19 17 16 16 18 21 25 27 26 21 13 7 7 9 11 11 10 9 9 9 9 10 10 10 9 8 5 1 1 4 6 11 12 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 9 9 10 10 11 10 10 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 11 10 11 11 10 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 nan
nan 11 10 10 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 11 12 12 11 10 11 11 11 10 11 11 12 12 11 8 5 2 -2 -3 -2 -1 1 1 -0 -1 0 6 11 15 18 18 19 18 17 16 17 17 17 17 13 10 9 9 10 11 12 12 11 10 10 10 10 10 10 9 7 3 -2 -3 -0 3 11 15 11 8 7 7 7 8 8 9 8 8 8 8 9 9 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 9 10 10 10 11 10 10 10 10 9 10 11 11 11 11 10 10 11 12 12 11 11 10 10 11 11 10 10 10 11 11 10 10 10 10 10 10 10 11 11 10 10 11 10 11 11 11 11 11 11 11 11 nan
nan 10 9 10 12 13 13 11 10 10 9 10 9 10 10 11 11 11 11 11 12 12 12 11 11 10 11 11 11 11 11 12 13 12 11 8 6 3 1 -1 -3 -4 -5 -8 -9 -9 -6 1 8 16 19 15 11 12 15 15 14 13 12 10 10 11 11 11 13 13 13 13 11 10 10 10 10 10 9 6 3 -0 -2 -2 1 9 15 14 11 8 8 8 8 8 8 8 9 9 9 9 10 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 10 10 11 11 11 10 10 10 11 12 12 11 11 11 10 10 11 10 10 10 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 9 6 7 11 15 15 12 10 9 9 10 10 10 10 11 11 11 12 11 12 12 11 12 11 11 11 11 11 11 11 12 12 12 11 10 8 6 5 4 3 2 0 -1 -4 -7 -10 -8 -2 14 29 24 12 6 9 13 13 13 11 10 11 11 12 12 13 14 13 12 11 11 10 10 11 9 6 2 -0 -1 -0 1 5 11 14 14 12 9 9 9 8 9 9 10 10 10 11 11 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 10 11 11 11 nan
nan 9 7 6 9 12 14 13 11 10 10 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 9 9 8 7 7 7 7 5 3 1 -2 -6 -6 9 28 30 24 15 10 11 13 14 13 11 11 11 12 13 13 13 12 11 11 11 10 9 7 4 2 1 -0 1 3 5 8 11 12 12 11 10 9 9 9 9 10 10 11 11 11 12 11 11 11 12 11 11 12 13 14 13 12 12 11 12 12 11 11 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 nan
nan 9 8 9 9 10 11 10 9 10 10 11 11 11 12 12 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 10 10 10 8 6 4 4 6 4 1 6 15 18 18 15 12 13 14 14 13 11 10 11 11 12 12 12 12 12 11 9 8 6 2 -1 -2 -0 3 4 5 6 8 9 9 10 11 10 10 10 10 10 10 11 11 12 12 11 11 12 12 12 12 12 12 13 13 13 12 12 12 11 12 12 11 12 12 12 12 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 10 11 10 10 10 10 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 12 11 11 nan
nan 8 8 9 9 9 9 8 9 9 10 10 11 11 12 12 12 11 11 11 10 10 10 10 10 10 11 11 10 11 11 10 10 10 10 10 11 11 12 11 11 10 9 7 5 5 7 7 5 4 5 7 6 4 5 12 14 14 13 12 11 11 10 10 11 11 11 10 9 8 7 7 5 1 -4 -2 3 5 6 6 7 8 8 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 10 11 12 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 9 10 10 10 10 9 9 9 11 11 11 12 nan
nan 7 7 8 8 8 9 10 9 9 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 13 12 11 9 9 7 6 6 4 3 2 3 4 6 3 2 5 7 10 12 12 12 11 10 10 10 11 10 9 8 7 9 14 14 8 -0 -1 4 6 7 8 9 9 9 9 9 10 11 10 10 10 11 11 11 11 12 12 12 12 12 13 13 12 12 11 11 11 11 12 11 11 11 12 11 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 10 10 11 11 10 10 10 10 10 11 10 10 10 10 10 11 10 10 10 9 10 10 11 9 9 10 10 10 11 12 nan
nan 7 8 8 9 10 11 12 11 11 12 11 12 12 12 12 11 11 12 13 14 13 13 13 13 12 12 12 12 12 12 12 12 13 12 12 12 12 13 13 12 11 10 9 9 8 6 4 2 2 2 2 5 7 6 3 -0 -1 3 7 10 11 10 8 7 8 9 9 8 8 12 19 19 11 3 4 7 8 8 9 10 10 10 10 11 10 10 10 10 11 11 11 11 11 12 11 12 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 11 11 10 11 11 12 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 10 11 11 11 13 nan
nan 10 12 13 13 14 14 12 12 11 12 12 12 12 12 12 11 11 11 12 14 14 14 14 13 13 13 13 12 13 13 13 13 13 13 13 13 12 12 12 12 10 9 8 9 8 7 6 4 3 3 3 4 9 11 9 4 -0 0 2 6 8 6 2 0 2 6 9 10 10 13 16 15 9 7 8 9 9 9 10 10 11 10 10 11 10 10 10 11 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 13 12 12 13 13 12 11 12 12 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 9 9 10 10 11 11 11 10 10 11 12 13 15 16 nan
nan 14 17 19 20 19 18 17 15 13 12 12 12 12 12 12 12 11 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 12 13 13 12 12 12 12 11 9 8 8 9 9 8 7 6 5 5 6 8 11 14 12 9 8 9 10 9 5 0 -2 -2 1 5 8 10 10 10 10 9 7 8 9 9 9 10 11 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 12 11 11 10 10 10 10 11 11 10 11 11 11 11 11 11 10 11 11 11 11 13 14 14 14 14 13 13 13 12 11 11 11 10 11 11 11 11 11 10 10 10 10 10 11 10 11 10 10 9 9 8 9 10 10 11 11 10 11 12 12 13 15 16 nan
nan 9 13 18 21 21 21 23 24 21 15 13 12 12 12 12 12 11 11 11 11 11 11 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 10 8 8 8 9 9 9 9 8 9 9 10 12 13 12 11 10 9 8 8 7 4 2 1 1 4 7 8 8 7 7 7 7 7 8 8 9 10 11 11 12 12 11 12 11 11 10 10 10 11 11 12 11 11 12 11 11 11 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 12 12 12 12 12 12 12 11 11 11 10 11 11 11 11 11 11 10 10 11 11 10 10 11 11 10 9 9 9 10 11 11 11 11 11 10 10 11 11 13 13 13 nan
nan 4 3 5 9 11 15 21 24 23 18 14 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 11 11 12 12 12 11 10 9 9 9 9 9 10 9 10 11 12 13 14 13 11 9 9 8 4 2 2 4 5 4 4 5 7 7 7 7 8 8 8 8 8 8 9 10 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 12 12 11 12 12 11 11 11 10 9 9 9 9 10 11 11 11 11 11 12 12 11 11 11 12 12 13 12 12 12 12 11 11 10 10 11 11 10 10 10 10 10 11 11 10 11 10 10 10 10 10 10 10 11 11 10 9 9 10 11 12 12 11 10 10 10 11 11 12 11 11 11 nan
nan 4 1 -1 0 2 5 9 12 15 15 14 12 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 11 11 11 12 11 11 11 10 10 9 9 10 10 10 10 12 13 14 13 12 10 8 8 7 4 3 3 5 6 6 7 7 7 8 8 8 8 8 9 9 9 9 10 10 11 12 12 11 11 10 10 9 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 9 9 10 10 11 11 11 11 11 11 12 12 11 11 12 12 12 13 13 12 11 11 11 10 10 11 11 10 10 10 10 10 10 11 10 10 10 11 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 9 10 11 11 11 10 10 10 nan
nan 6 5 4 4 5 5 3 5 8 10 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 11 11 12 11 11 11 11 10 11 11 11 11 10 10 10 11 10 10 11 11 10 11 12 13 13 12 12 11 10 8 7 5 5 5 7 7 8 8 8 8 9 10 10 9 10 10 10 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 11 12 11 12 12 12 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 8 8 8 8 9 9 7 8 9 10 9 10 11 11 11 10 11 11 11 12 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 10 11 10 10 10 10 10 11 11 11 11 12 12 12 12 13 14 15 13 11 8 5 5 6 8 8 8 8 9 9 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 10 11 10 11 11 12 12 12 11 11 11 11 11 10 9 10 10 10 11 12 12 12 12 12 11 11 12 12 12 13 12 12 12 12 11 11 11 10 10 10 10 10 9 9 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 10 12 12 12 11 11 12 12 12 11 12 12 12 11 11 10 nan
nan 10 10 9 9 9 8 9 10 13 12 10 11 11 11 11 11 11 11 12 12 12 12 12 11 12 11 11 12 12 12 12 12 12 11 12 12 11 12 11 11 11 11 10 10 11 11 12 13 13 13 15 18 19 19 17 14 10 6 4 6 8 9 8 9 9 10 11 11 11 11 11 10 10 11 11 10 10 11 11 11 10 10 10 10 11 12 12 11 11 11 11 11 12 11 11 10 10 11 10 11 12 11 11 11 11 11 12 11 11 11 11 11 12 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 9 11 14 13 12 12 12 11 11 12 12 11 12 12 11 10 10 nan
nan 10 10 10 9 10 10 9 8 10 12 11 11 11 10 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 12 13 17 20 20 17 14 11 7 5 6 7 8 9 9 10 11 12 12 12 11 11 10 10 10 11 11 10 11 11 10 10 10 10 11 12 12 12 12 12 11 10 11 12 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 11 11 11 13 13 13 13 12 12 11 11 10 10 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 10 10 11 nan
nan 10 9 10 10 10 10 9 8 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 12 13 13 12 12 13 13 13 13 13 13 13 13 13 14 13 13 13 13 12 12 11 10 8 8 14 16 14 11 10 9 7 7 7 8 9 10 10 12 13 13 12 12 11 11 11 10 10 11 11 12 11 11 10 10 11 12 13 13 13 13 13 12 11 11 12 11 11 12 12 12 13 12 11 10 9 10 10 10 10 11 11 12 13 13 13 12 12 11 11 11 10 10 10 10 10 9 10 9 9 10 10 10 10 10 10 10 9 10 9 10 10 11 12 11 11 11 10 10 11 13 12 12 11 12 11 11 11 11 11 11 11 11 10 11 11 11 nan
nan 10 10 11 11 10 10 9 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 13 13 13 13 13 13 13 13 12 13 13 13 13 13 14 13 12 11 11 11 11 11 9 7 8 9 9 8 9 9 9 6 7 8 9 10 12 13 13 14 13 12 11 10 10 10 11 12 12 11 11 11 11 11 11 12 13 13 14 14 13 12 12 12 12 12 12 12 12 14 14 12 11 10 9 10 10 10 10 11 12 12 13 13 13 13 12 12 11 11 11 10 10 10 10 9 10 9 9 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 11 11 11 11 12 11 12 12 11 11 11 11 11 12 12 12 11 11 12 12 11 nan
nan 12 12 12 11 11 10 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 13 13 13 13 13 12 12 12 13 13 12 12 12 13 12 11 10 10 10 10 11 12 11 9 7 6 7 8 8 9 8 8 9 10 11 12 12 12 12 12 12 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 11 12 12 12 13 13 14 14 15 14 12 11 10 9 9 10 10 11 12 12 13 13 13 13 12 12 12 11 10 10 10 10 10 9 10 10 9 9 9 9 10 10 10 9 9 10 10 11 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 11 12 11 11 nan
nan 13 13 12 11 10 10 10 10 9 9 9 9 9 8 9 9 8 9 9 10 11 13 14 14 14 14 13 13 13 12 12 13 14 13 12 12 12 12 12 12 12 11 11 11 10 10 11 10 10 11 12 12 11 8 7 8 8 8 8 9 10 11 11 11 11 12 12 11 11 11 11 11 11 11 10 11 11 10 10 10 11 11 11 11 11 11 12 11 10 11 12 12 13 13 13 13 14 14 12 11 10 10 9 9 10 11 12 13 13 14 14 13 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 11 11 nan
nan 14 12 11 10 10 10 9 9 8 8 8 8 7 8 8 9 9 10 11 12 11 11 13 14 16 17 15 15 16 14 12 12 12 12 12 12 12 12 12 12 11 10 10 11 11 11 10 11 10 10 10 11 11 9 9 9 8 7 9 10 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 10 11 11 10 10 10 10 10 11 12 13 14 13 12 12 11 11 10 10 10 10 10 10 10 11 12 13 14 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 10 11 11 11 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 12 11 11 11 nan
nan 13 11 11 10 9 9 8 8 7 7 7 7 7 7 8 9 10 11 12 12 11 9 9 10 11 11 11 13 15 13 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 12 13 13 13 12 11 11 10 10 10 10 10 10 10 9 10 10 9 10 10 10 10 10 10 10 10 11 12 14 14 13 12 11 10 8 8 9 9 9 10 10 11 12 12 13 13 13 12 12 12 11 11 10 10 11 10 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 10 11 11 11 12 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 8 10 12 14 12 11 11 nan
nan 12 11 10 10 9 8 7 7 6 6 6 7 7 8 9 9 9 10 10 9 9 8 8 9 9 9 9 9 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 8 8 8 7 7 7 7 7 8 9 10 11 10 11 12 13 14 14 13 12 12 11 10 10 10 10 10 10 9 9 10 11 10 10 10 10 11 11 11 10 11 12 12 13 12 12 12 11 10 9 8 8 9 9 9 10 11 12 13 12 12 12 12 12 11 11 11 10 11 10 11 11 11 10 10 10 10 9 9 9 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 11 11 10 9 11 15 13 11 11 10 nan
nan 10 9 8 8 7 7 6 6 6 6 6 7 8 9 9 10 10 10 9 8 8 9 10 10 10 10 11 10 9 10 10 10 11 11 11 11 11 11 11 12 11 11 11 11 10 9 9 8 8 8 8 8 8 7 7 8 8 8 10 11 11 12 12 13 14 13 13 12 11 10 11 11 11 10 11 10 9 9 10 10 11 11 11 11 11 12 12 10 11 12 12 12 11 11 11 11 11 10 9 8 8 9 9 10 11 12 12 12 12 11 12 12 11 11 11 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 11 11 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 11 10 10 10 nan
nan 8 8 7 6 6 6 6 6 7 7 8 9 10 11 11 11 12 11 11 11 11 12 12 13 12 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 9 8 8 7 8 8 8 9 9 8 8 9 9 10 10 11 12 12 12 13 14 14 13 12 11 11 11 11 11 11 11 10 9 10 10 10 10 11 11 11 11 12 12 11 11 11 12 11 11 12 12 12 11 10 8 8 9 9 9 9 11 11 12 12 12 11 11 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 10 10 9 10 11 11 10 10 10 10 10 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 nan
nan 8 7 7 7 7 7 7 8 9 10 11 11 12 12 11 12 12 12 12 12 13 13 13 13 12 11 10 10 10 9 9 10 10 11 11 12 12 12 11 10 10 10 9 8 8 8 8 8 8 9 9 10 11 10 9 9 10 11 11 11 11 12 12 13 13 13 13 12 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 12 11 12 12 12 11 11 12 12 11 10 9 8 8 9 10 11 10 10 11 12 12 11 11 11 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 9 9 11 13 12 11 11 12 11 11 11 11 11 11 11 10 9 11 12 12 11 11 nan
nan 9 8 8 8 8 8 9 9 11 12 12 13 13 13 12 12 12 13 12 12 12 12 12 12 12 11 10 10 10 9 9 9 10 10 10 10 11 11 10 10 9 9 8 8 8 8 9 9 8 9 10 11 11 11 10 10 11 10 11 11 11 11 12 12 12 13 12 12 12 11 10 11 12 11 11 10 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 10 8 8 9 10 12 12 11 11 11 11 11 12 12 11 11 11 11 11 10 11 11 12 11 11 12 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 12 11 11 11 11 11 11 11 11 12 12 12 11 10 10 11 12 12 12 12 nan
nan 10 9 9 9 9 9 9 10 11 11 12 13 12 12 13 13 13 12 12 12 12 11 11 11 11 10 10 10 9 10 10 10 9 9 9 8 8 8 9 8 8 8 8 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 11 12 12 12 12 12 12 12 12 13 12 12 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 9 9 8 10 10 12 12 12 11 11 10 10 11 11 11 11 10 10 10 11 12 12 12 13 12 16 17 13 11 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 13 12 nan
nan 10 11 10 10 11 10 10 10 10 11 12 12 12 12 12 12 12 12 10 10 11 11 11 10 10 9 9 10 10 10 10 10 11 10 9 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 11 10 10 9 9 10 10 11 12 11 11 10 10 10 11 11 11 11 11 11 12 13 14 17 18 17 13 16 22 18 13 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 12 11 11 12 12 12 12 11 11 11 11 11 nan
nan 11 12 11 11 11 10 10 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 10 10 9 9 8 7 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 11 10 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 12 12 11 10 11 10 10 10 11 12 12 12 12 11 10 11 11 12 11 11 10 11 12 14 17 20 22 18 13 14 19 19 16 13 10 9 10 12 12 12 11 11 11 11 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 10 11 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 11 10 10 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 11 11 10 9 9 9 10 10 11 10 10 11 11 10 10 11 11 12 10 10 10 11 11 11 12 13 13 12 12 12 11 11 11 11 11 11 11 12 13 15 14 14 13 11 8 9 12 13 15 14 8 8 12 15 15 14 12 11 11 11 10 10 9 9 10 10 11 12 12 12 11 11 11 12 12 11 11 11 10 11 12 12 12 12 11 11 11 10 nan
nan 11 12 13 12 12 12 12 12 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 12 12 11 12 12 12 11 11 10 11 12 12 13 12 12 10 9 10 10 10 10 11 11 11 11 10 10 11 12 11 11 10 10 10 11 11 12 13 13 13 13 13 12 12 12 11 12 12 13 15 17 18 15 11 8 6 6 6 6 7 10 10 7 7 11 15 15 13 11 11 11 10 11 10 9 9 10 11 12 12 12 11 11 11 10 11 12 11 12 11 11 12 12 12 13 12 11 10 11 10 nan
nan 11 12 12 13 13 13 13 13 12 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 10 9 9 10 11 11 11 10 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 11 12 13 13 13 13 12 11 10 10 10 10 11 11 11 11 11 10 11 11 11 11 10 9 10 10 11 11 12 13 13 13 13 13 13 12 12 12 12 14 17 20 21 20 17 13 9 8 7 6 6 7 9 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 11 11 11 12 12 12 11 12 12 11 11 12 12 13 12 11 10 11 11 nan
nan 11 11 12 13 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 11 10 10 10 10 10 11 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 14 13 12 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 10 11 11 12 12 12 12 12 13 13 13 13 13 14 18 21 22 20 16 12 10 9 7 7 6 7 8 9 11 14 14 12 8 6 8 10 11 11 11 10 9 9 10 11 11 11 12 11 11 11 11 12 12 12 12 11 11 10 11 12 12 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
9 13 15 14 14 16 20 20 21 22 25 26 27 28 30 34 36 38 40 44 49 59 70 78 78 74 70 70 71 72 70 65 59 49 37 26 16 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 1 6 11 13 15 19 26 33 32 29 26 25 23 23 28 35 43 50 53 53 54 55 55 55 56 56 59 61 56 52 52 54 55 58 62 68 73 76 75 78 86 101 115 114 113 104 99 96 91 84 81 87 98 111 120 122 131 118 89 56 38 42 60 77 83 79 70 62 58 54 51 50 50 50 56 56 52 48 45 45 46 48 50 51 51 48 44 42 42 42 44 45 46 44 39 29 17
7 9 9 9 9 11 13 13 13 14 14 15 16 17 19 22 24 26 29 37 43 53 64 71 73 72 68 60 53 51 50 43 35 28 21 16 10 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 4 8 10 13 17 24 32 36 37 37 35 30 28 30 34 40 45 47 52 52 52 50 49 50 53 57 59 60 59 61 65 63 64 68 72 72 69 62 63 68 75 84 84 88 92 94 94 92 87 79 75 80 97 118 126 138 131 110 83 55 35 44 60 73 78 76 72 66 57 54 58 62 60 63 66 64 60 54 50 47 46 47 49 50 48 45 43 42 43 46 51 53 52 48 41 31
6 7 7 7 7 7 6 7 8 8 8 9 10 10 11 13 15 17 19 26 36 47 58 64 64 68 67 55 43 36 32 26 21 19 17 14 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 12 16 22 29 36 42 40 32 30 30 32 36 41 43 47 47 44 40 38 38 42 47 50 52 56 64 70 67 65 65 65 61 55 49 47 47 48 56 63 70 75 80 85 89 80 73 68 67 76 97 113 115 124 131 118 62 37 35 48 61 69 74 78 74 65 61 64 66 59 59 63 67 66 61 56 51 48 48 51 52 50 48 48 49 51 55 60 60 57 53 48 41
4 5 5 5 5 4 3 3 3 4 6 7 8 7 7 8 10 12 14 17 26 36 47 54 56 61 58 48 36 26 20 17 17 18 16 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 7 8 11 20 32 40 42 36 33 29 26 26 28 32 35 35 33 29 26 28 34 41 46 47 50 67 71 70 66 62 54 48 41 38 36 36 37 46 56 61 63 67 78 88 82 75 68 66 70 83 96 105 116 126 121 78 55 44 41 44 51 61 72 76 74 70 72 72 56 49 52 58 61 60 56 52 49 50 53 53 52 51 52 55 60 65 66 64 62 58 55 50
2 3 4 4 3 2 1 0 1 2 4 6 8 8 8 7 8 10 11 13 18 25 33 41 47 53 52 42 31 22 16 14 16 17 16 12 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 1 3 4 4 3 3 5 12 22 32 36 34 29 24 20 19 20 21 21 20 20 19 16 18 26 37 44 44 47 64 73 74 72 71 64 48 38 34 32 29 29 41 50 54 57 64 79 92 92 86 80 77 76 83 90 102 119 129 113 92 75 59 44 36 38 49 63 73 75 74 75 80 66 54 50 51 53 54 52 50 52 57 62 62 59 55 54 57 61 64 65 64 62 60 57 54
0 2 3 4 3 2 0 0 0 1 3 5 8 10 9 8 8 9 10 11 13 17 23 29 37 43 45 38 28 19 14 15 17 18 16 11 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 3 2 1 0 2 4 9 15 20 22 20 17 14 14 15 15 12 11 11 10 9 12 20 32 41 43 48 62 70 73 75 82 79 64 51 44 40 36 35 39 45 50 56 65 80 95 98 92 84 82 86 87 88 100 124 150 126 104 88 72 53 40 42 49 56 61 66 66 69 72 67 60 54 52 53 54 55 57 60 69 76 78 72 64 59 60 61 64 65 63 60 56 53 50
0 1 3 4 4 3 1 0 0 1 2 5 8 9 9 9 10 10 10 10 11 13 15 20 26 34 38 32 24 17 13 16 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 1 1 0 0 0 0 1 1 2 5 9 10 10 9 10 11 11 9 7 7 6 6 9 17 28 36 40 46 57 66 70 73 83 85 80 71 63 58 53 47 45 48 56 64 71 85 100 103 95 88 87 89 89 90 96 114 135 129 121 109 91 73 55 53 57 56 52 54 57 58 57 57 58 58 56 56 58 63 69 73 81 87 89 87 82 74 70 67 66 64 63 59 54 50 48
0 0 2 4 4 3 2 0 0 0 2 4 7 8 8 9 9 9 9 9 9 9 10 13 18 27 30 25 18 14 14 16 17 14 10 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 2 3 3 5 7 9 9 8 6 5 5 6 8 16 25 30 32 39 48 55 58 65 76 84 84 80 76 73 68 62 59 63 72 79 86 97 108 111 102 93 90 90 93 95 95 99 113 131 142 135 109 90 77 74 72 65 52 49 51 51 53 57 60 62 62 64 68 72 78 85 89 92 94 95 90 82 78 74 69 65 62 57 50 46 44
0 0 1 2 3 3 2 0 0 0 1 2 5 6 6 6 6 7 7 6 6 5 6 8 12 18 20 18 14 11 10 11 11 9 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 7 8 6 6 10 17 24 25 28 34 41 46 47 55 67 73 74 71 71 72 68 66 68 75 82 88 95 105 114 118 112 106 103 102 106 111 109 108 116 130 141 141 121 105 98 95 90 79 60 54 51 49 50 54 63 66 69 73 79 83 83 89 93 94 93 92 88 84 81 77 72 66 62 55 50 48 49
0 0 0 2 3 3 2 0 0 0 0 1 2 2 3 2 2 3 4 3 2 1 2 4 8 11 12 9 4 2 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 8 8 8 12 19 25 28 30 34 39 44 45 52 60 62 59 55 55 57 56 58 63 69 75 83 92 100 109 115 116 120 123 124 124 128 130 132 135 141 146 149 133 120 117 114 107 96 86 78 67 59 60 66 69 71 71 73 83 93 91 94 96 95 91 85 80 77 75 74 70 68 65 61 61 63 60
0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 4 5 4 2 1 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 5 7 7 5 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 8 12 17 21 24 27 31 38 44 46 52 55 53 48 44 44 44 45 49 55 64 74 83 89 94 100 107 114 123 131 134 133 132 135 138 142 151 161 161 152 147 141 128 122 112 105 98 88 76 72 77 74 69 66 66 73 80 89 95 95 91 83 75 68 64 64 61 65 70 76 82 86 83 73
0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 1 3 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 6 8 9 9 7 4 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 12 15 17 19 23 28 34 40 43 48 52 50 45 41 40 40 42 46 54 66 84 94 94 91 94 94 102 113 124 131 133 132 132 132 131 130 145 148 147 148 146 138 136 125 112 101 92 88 84 82 73 62 56 56 64 76 87 95 100 95 84 76 74 72 70 64 66 76 90 105 111 101 86
0 0 0 0 0 0 0 0 0 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 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 7 8 7 6 5 5 7 8 8 7 4 3 1 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 9 14 17 19 20 21 26 32 34 37 40 43 45 46 46 45 46 46 46 49 58 72 86 91 87 81 80 80 85 95 106 116 129 134 132 126 118 108 108 117 124 127 127 130 132 130 121 104 84 89 93 90 78 60 48 50 58 67 77 89 102 103 97 95 97 95 83 73 75 87 102 110 112 104 87
0 0 0 0 0 0 0 0 0 0 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 2 1 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 6 9 11 12 11 12 11 8 5 3 4 2 1 0 0 0 0 0 0 0 0 0 1 3 8 14 20 26 27 27 29 33 38 39 40 42 42 42 41 41 43 45 46 48 54 68 77 80 76 69 65 66 68 72 80 90 102 118 123 122 118 112 106 104 104 106 107 100 108 115 123 125 116 105 97 95 94 88 76 63 59 65 75 83 88 99 108 113 116 119 106 90 80 83 96 103 96 89 80 67
0 0 0 1 1 1 1 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 13 12 8 2 2 5 9 12 13 15 20 21 18 13 8 5 3 1 0 0 0 0 0 0 0 0 2 5 9 17 25 32 37 39 40 41 44 48 47 45 45 43 38 31 32 36 39 41 46 56 68 72 70 63 58 59 60 63 68 76 87 98 108 114 117 117 118 115 110 104 99 98 90 94 98 102 109 117 114 105 100 97 92 91 85 81 85 96 103 103 105 111 118 125 122 106 94 89 91 96 89 74 59 49 44
0 0 1 2 2 2 3 3 2 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 19 24 25 21 13 2 0 2 5 9 13 20 27 30 29 24 17 11 6 2 0 1 1 1 1 3 4 4 7 10 19 32 46 59 64 64 62 60 60 64 61 59 55 50 42 34 30 29 30 34 38 48 57 60 57 52 50 54 59 64 71 78 85 92 101 109 116 121 126 125 120 113 106 98 96 98 100 101 103 112 118 120 117 111 104 101 97 96 98 106 111 108 104 100 100 110 123 118 107 99 95 90 76 59 43 36 34
0 0 1 2 4 4 4 5 5 4 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 1 4 11 22 29 30 25 15 4 1 0 2 6 12 21 28 32 33 31 24 17 10 5 3 4 6 7 9 11 14 14 18 24 37 51 64 76 81 83 82 79 74 72 71 68 63 55 43 32 25 21 20 23 28 36 44 46 43 40 42 47 54 61 67 72 78 84 92 100 104 113 120 123 122 119 118 112 109 108 109 112 111 112 117 120 120 118 114 108 100 96 97 101 104 100 93 90 91 105 117 119 110 97 89 82 72 59 47 39 35
0 0 1 3 4 6 6 7 6 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 20 27 30 28 19 8 2 0 1 4 11 22 30 32 31 30 24 18 13 10 10 13 17 20 22 24 27 34 44 56 66 72 74 80 83 86 86 82 75 70 67 63 58 49 38 27 17 11 10 11 14 18 21 22 23 23 28 34 40 46 51 56 63 71 79 86 91 96 102 107 110 112 111 117 114 107 113 115 113 111 108 104 100 101 101 98 94 91 88 90 91 86 79 83 93 101 105 105 99 87 79 74 70 66 59 50 42
0 0 1 3 5 7 8 7 6 5 3 3 4 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 1 7 13 18 24 31 35 29 16 5 0 0 2 8 23 32 33 29 27 24 20 17 16 19 25 31 35 37 39 46 63 81 91 93 87 79 78 78 78 73 65 60 57 56 54 50 43 35 24 15 9 5 3 4 5 5 5 6 8 11 15 19 23 28 34 41 49 57 65 71 75 80 85 90 96 96 102 104 103 110 109 108 111 108 85 77 77 79 81 85 85 83 79 74 69 66 74 82 88 91 94 88 78 71 67 68 70 62 51 43
0 0 2 4 6 7 8 7 6 5 4 4 7 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 1 4 10 16 24 35 44 38 27 13 3 0 0 7 20 27 27 25 26 27 25 22 22 26 35 44 51 58 67 80 92 104 110 110 101 89 78 69 59 49 39 36 38 42 46 48 44 36 27 17 10 5 2 1 1 0 0 0 1 2 4 6 7 11 15 19 24 30 38 47 54 61 67 73 78 82 90 97 105 110 107 111 119 113 72 63 62 67 76 80 73 66 62 60 62 66 74 79 81 83 84 81 74 69 70 72 68 57 46 37
0 0 2 4 6 7 6 6 5 4 4 7 12 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 2 7 13 22 36 51 43 33 22 11 3 0 5 10 13 14 15 23 31 33 31 28 31 39 50 64 82 102 112 114 113 111 108 105 93 74 55 39 26 16 13 18 29 41 50 52 47 37 24 13 6 2 0 0 0 0 0 0 0 0 1 1 2 4 5 7 12 18 28 37 45 52 61 67 73 82 96 113 116 108 104 105 86 63 58 59 63 70 73 70 67 66 66 70 75 81 82 81 80 83 80 76 75 76 69 76 70 55 39
0 0 1 3 4 5 4 4 5 5 7 11 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 4 10 20 32 43 38 32 24 16 9 4 3 3 3 3 4 18 34 43 44 38 35 38 46 63 88 117 131 129 121 113 108 105 90 70 50 32 17 8 4 7 17 34 56 69 69 59 41 22 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 18 25 31 39 49 59 68 79 99 113 111 99 86 80 68 61 60 62 62 67 71 72 74 75 73 74 77 80 80 77 75 78 78 75 70 64 62 71 79 73 57
0 0 0 1 2 2 2 4 5 7 9 12 13 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 1 5 13 22 27 27 25 21 18 15 11 6 1 0 0 1 13 30 45 53 52 48 45 47 61 89 120 132 130 123 118 114 111 97 80 62 44 28 15 7 6 13 28 50 71 84 84 66 42 25 13 6 2 1 0 0 0 0 0 0 0 0 0 0 0 3 7 11 16 21 27 34 44 59 73 82 86 89 88 82 76 68 63 64 69 66 71 72 73 76 78 76 76 75 72 69 66 70 74 76 74 71 70 67 74 85 77 74
0 0 0 0 0 1 1 3 5 7 9 11 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 16 18 19 19 19 18 18 14 6 1 0 0 0 8 20 34 45 49 50 53 60 76 103 130 139 135 127 123 120 114 103 90 78 65 52 39 29 23 23 33 50 71 88 94 84 66 50 36 22 11 7 4 2 1 0 0 0 0 0 0 0 0 1 2 5 9 13 17 22 31 46 61 66 75 83 89 90 76 68 70 75 74 71 72 71 72 76 75 77 79 79 71 65 66 70 74 73 68 69 64 66 77 87 75 76
0 0 0 0 0 0 1 2 4 6 8 11 14 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 4 12 26 24 22 21 21 20 17 10 3 0 0 0 0 3 9 18 29 33 36 43 57 80 108 129 138 138 133 126 122 116 107 98 89 79 75 71 65 56 46 46 55 68 81 87 82 72 61 49 36 28 21 15 10 5 2 1 1 0 0 0 0 1 1 2 3 6 9 12 19 30 46 63 74 78 79 82 88 77 73 77 77 70 66 63 61 62 71 67 73 82 84 77 72 73 74 72 66 62 68 70 70 78 77 69 67
0 0 0 0 0 0 0 1 3 5 8 12 14 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 7 20 32 28 25 25 25 23 15 7 2 0 0 0 0 1 3 7 16 21 25 32 44 65 96 118 130 130 126 123 123 119 111 101 93 88 88 88 85 76 65 57 56 63 73 77 73 66 58 50 46 42 37 32 26 20 13 9 8 8 7 6 6 8 9 11 12 12 12 15 23 39 61 82 95 98 92 88 87 82 80 83 81 70 61 56 53 56 61 64 72 80 84 81 77 76 73 67 66 66 68 71 74 76 73 65 58
0 0 0 0 0 0 0 0 1 4 9 12 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 4 17 38 33 26 23 24 25 22 13 5 1 0 0 0 0 0 2 7 14 19 25 33 44 63 94 117 126 124 118 118 121 118 108 96 90 90 90 86 79 69 59 51 50 53 61 66 66 64 61 56 54 55 52 50 47 43 39 37 36 34 30 29 28 28 29 29 29 26 24 23 26 45 73 94 107 116 118 111 100 89 84 88 81 69 63 62 58 62 68 75 80 79 76 74 73 73 68 63 66 68 70 71 74 76 71 62 56
0 0 0 0 0 0 0 0 1 6 10 9 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 4 15 34 55 40 24 16 18 20 16 8 2 0 0 0 0 0 1 3 10 18 25 33 43 55 73 100 121 130 124 116 113 111 107 98 88 83 80 73 63 49 38 31 29 30 37 44 51 57 61 63 64 63 62 61 60 59 59 58 57 57 56 53 50 50 50 50 49 52 51 47 42 35 52 79 102 116 128 131 124 110 96 92 92 89 83 77 74 68 67 71 75 77 68 65 64 65 66 62 60 63 67 68 72 73 72 68 62 55
0 0 0 0 0 0 0 0 5 9 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 0 0 0 0 0 0 0 7 22 43 59 43 22 9 8 9 6 2 0 0 0 0 0 0 3 7 15 23 32 44 57 69 83 106 126 135 130 115 103 96 90 84 76 67 55 41 28 20 16 14 14 17 26 34 42 51 58 62 65 67 69 68 64 62 61 59 57 55 54 53 52 52 54 55 60 74 85 90 92 79 82 97 114 125 129 127 118 106 92 88 86 84 81 76 71 64 58 54 50 48 45 44 46 51 56 55 56 60 66 69 75 77 75 70 64 48
0 0 0 0 0 0 1 4 8 10 8 3 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 0 0 0 2 12 29 52 64 43 19 4 1 0 0 0 0 0 0 0 0 2 6 13 21 29 42 59 74 84 93 111 129 138 132 111 91 78 72 66 57 47 35 24 16 15 17 19 22 25 29 33 36 41 46 52 59 65 70 70 66 62 58 53 49 46 44 44 47 52 56 58 66 84 104 120 127 123 116 113 116 118 114 106 95 84 75 71 67 64 60 54 49 43 36 30 24 22 21 21 23 28 33 38 46 54 64 74 80 81 76 66 53 28
0 0 0 0 0 1 3 6 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 1 7 20 40 64 72 45 18 4 0 0 0 0 0 0 0 0 1 5 11 18 27 41 62 82 94 100 106 117 129 136 123 97 74 55 43 35 31 27 24 21 23 29 34 36 37 36 35 31 27 27 31 37 45 54 58 59 55 52 48 44 41 39 39 42 48 58 62 71 84 97 102 100 103 104 100 94 89 84 78 71 61 49 41 37 35 34 33 28 23 18 13 10 7 5 4 4 5 9 13 19 28 41 55 67 76 77 66 50 35 22
0 0 0 0 0 1 3 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 4 12 26 48 75 69 42 17 4 0 0 0 0 0 0 0 0 1 6 17 25 40 62 85 104 112 114 118 123 127 126 106 78 53 33 18 12 14 16 19 23 31 40 44 46 46 44 36 27 21 18 18 22 28 33 36 37 36 35 34 34 34 37 41 47 55 63 67 75 79 75 65 52 45 42 42 43 42 38 33 25 18 13 10 10 11 11 10 8 6 4 1 0 0 0 0 0 1 6 11 17 23 30 40 50 58 62 46 32 23 20
0 0 0 0 0 0 1 2 1 1 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 1 2 8 17 31 50 71 58 33 12 2 0 0 0 0 0 0 0 0 5 13 24 40 61 84 103 115 119 119 118 118 115 108 85 59 35 19 10 9 11 13 16 19 26 33 39 44 47 49 40 29 20 16 13 12 13 16 18 20 22 25 28 30 33 38 45 55 65 68 64 69 70 56 45 33 22 14 8 7 8 7 6 3 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 4 10 16 22 25 23 27 34 42 46 35 27 26 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 2 5 10 16 24 36 49 57 44 22 4 0 0 0 0 0 0 0 0 4 12 25 41 65 87 104 114 118 118 113 106 99 92 84 67 46 27 12 7 7 8 9 11 13 17 22 28 35 41 41 34 23 16 13 10 8 8 11 12 14 18 22 26 30 34 41 51 62 70 69 62 62 65 53 42 32 21 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 15 21 26 27 23 24 31 38 35 29 24 23 30
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 4 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 0 0 2 7 13 18 25 33 40 43 40 30 14 1 0 0 0 0 0 0 0 1 7 20 38 62 88 105 113 115 114 110 101 90 80 76 71 61 45 26 11 8 6 6 6 8 12 16 20 26 30 36 34 25 15 11 8 5 3 4 8 10 12 14 18 23 29 39 49 59 68 74 70 64 59 59 62 62 49 30 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 21 24 22 21 21 28 40 38 31 28 27 26 30
0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 1 2 4 5 5 5 5 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 1 5 11 17 22 28 35 39 34 24 15 6 0 0 0 0 0 0 0 0 2 11 26 47 72 96 110 111 106 101 94 83 72 67 68 67 57 40 24 14 11 10 8 7 9 13 18 24 31 35 37 30 17 7 5 3 1 0 2 4 6 7 9 12 18 33 47 57 65 71 72 69 64 59 55 56 57 54 42 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 6 13 20 22 21 20 27 44 56 46 40 38 40 40 44
0 0 0 0 0 0 1 2 3 3 3 2 1 1 1 1 2 3 4 5 4 4 4 4 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 3 6 11 13 14 17 22 25 19 10 4 1 0 0 0 0 0 0 0 0 2 13 37 65 87 104 109 104 93 84 76 68 63 62 62 55 41 26 15 12 13 12 10 7 8 11 16 23 31 40 37 21 5 2 1 0 0 0 0 1 1 1 2 4 13 28 42 52 59 61 59 55 52 52 53 53 46 36 24 9 2 1 0 0 0 0 0 0 0 0 0 1 3 5 7 6 4 2 0 0 0 3 8 18 29 36 43 56 80 86 78 68 63 63 66 65
0 0 0 0 0 1 3 5 5 4 4 3 2 2 2 3 4 4 4 5 5 4 4 3 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 1 2 4 5 4 4 4 5 6 4 2 0 0 0 0 0 0 0 0 0 0 1 14 49 84 100 106 104 96 84 74 66 60 57 53 44 32 22 14 11 11 12 12 10 6 4 4 6 9 15 19 11 3 0 0 0 0 0 0 0 0 0 0 0 1 10 21 32 41 46 47 44 41 43 48 50 44 30 14 3 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 7 8 7 5 2 0 1 5 14 28 47 63 77 93 106 110 104 95 85 79 75 65
1 0 0 0 1 4 7 8 7 6 5 4 4 4 4 6 6 6 5 5 5 4 4 3 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 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 13 49 86 100 101 95 91 84 75 65 57 46 33 23 16 13 13 13 14 13 12 10 7 3 1 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 22 31 37 37 34 35 42 44 36 24 12 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 9 10 9 8 8 9 14 23 37 52 70 85 97 101 103 101 97 91 83 71 58 47
2 2 1 2 4 6 9 9 9 8 8 7 6 6 7 8 8 7 5 4 4 2 2 2 2 1 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 20 6 1 0 0 0 0 0 1 7 33 68 85 88 83 80 77 71 64 55 43 33 25 22 22 22 21 18 15 13 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 15 24 31 32 30 29 28 20 8 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 5 10 12 14 18 22 27 35 46 57 65 71 77 81 82 82 83 83 79 72 62 51 43
4 3 4 6 8 9 10 10 10 10 10 9 8 8 9 9 8 5 3 2 1 0 0 0 0 0 0 0 0 0 1 2 3 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 1 10 49 26 7 0 0 0 0 0 0 3 16 44 62 68 66 63 61 58 55 51 45 40 38 38 37 34 30 25 20 17 16 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 16 22 23 20 14 11 9 5 2 1 3 3 2 1 0 0 0 0 0 0 0 0 1 3 3 1 3 7 11 14 20 25 31 39 47 53 54 51 48 49 47 51 57 64 70 69 63 53 46 36
4 4 7 10 12 13 12 12 12 11 10 8 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 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 0 0 5 22 62 48 21 0 0 0 0 0 0 1 5 24 40 47 50 50 51 52 51 48 44 40 38 38 38 36 33 29 26 23 20 16 11 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 14 20 18 12 6 2 0 0 0 1 3 5 5 3 1 0 0 0 0 0 1 1 2 2 3 2 2 6 10 13 18 25 30 34 38 40 38 32 25 20 21 20 22 28 34 40 45 44 38 35 24
6 6 9 12 13 13 12 11 10 8 5 3 2 1 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 1 1 3 9 31 62 62 35 0 0 0 0 0 0 0 2 12 25 34 38 41 43 44 44 38 34 29 26 25 25 26 26 26 25 25 23 20 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 15 16 8 1 0 0 0 0 1 2 4 4 3 2 0 0 0 0 1 2 2 3 3 2 2 2 5 11 15 17 23 27 28 27 24 24 22 18 11 7 6 5 6 5 5 9 15 21 22 22 16
11 10 10 10 10 9 8 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 1 3 6 10 14 18 22 33 54 64 48 4 1 0 0 0 0 0 0 5 14 24 28 28 28 28 27 22 20 18 17 17 18 20 22 25 26 26 23 20 14 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 4 1 0 0 0 0 1 4 6 6 5 4 2 1 2 2 3 4 4 3 3 2 1 0 2 7 12 14 17 22 25 25 21 18 12 8 5 2 0 0 0 0 0 0 0 1 4 8 11 10
12 10 8 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 15 24 34 42 49 39 44 56 53 15 5 1 0 0 0 0 0 2 6 13 16 16 14 14 14 13 13 14 16 20 26 31 35 36 33 28 24 20 16 7 2 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 8 9 8 6 6 5 5 4 4 3 4 4 3 2 1 0 0 4 9 11 12 14 18 19 17 13 9 5 2 1 0 0 0 0 0 0 0 0 0 0 1 3 3
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 1 3 7 17 30 43 58 75 50 35 32 32 17 7 2 0 0 0 0 0 0 1 2 7 7 6 5 7 8 11 15 22 31 40 48 54 52 44 36 30 25 19 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 2 5 11 10 9 8 7 7 6 4 3 2 2 3 2 1 0 2 5 9 10 10 10 11 10 8 6 4 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 20 28 39 55 79 64 39 17 6 6 4 2 0 0 0 0 0 0 0 1 3 4 4 4 6 10 16 27 38 47 56 64 69 70 60 48 37 28 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 3 2 1 1 2 4 7 11 10 9 8 7 6 4 3 2 1 1 1 1 0 1 4 7 10 10 10 8 7 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 2 10 21 25 31 45 67 67 48 22 0 1 2 1 0 0 0 0 0 0 0 1 3 4 5 5 7 11 22 39 53 62 70 76 79 76 65 50 35 21 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 4 1 0 1 3 6 9 10 10 9 7 5 4 2 1 0 0 0 0 0 0 2 6 8 9 9 8 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 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 0 0 0 0 0 0 0 0 0 2 10 16 20 25 36 53 61 53 33 8 2 0 0 0 0 0 0 0 0 0 0 1 2 2 4 3 6 14 33 51 65 75 78 74 63 49 33 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 2 1 0 1 3 6 8 9 8 7 6 5 4 3 2 2 0 0 0 0 4 7 8 8 7 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 1 1 2 2 3 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 1 2 2 1 0 0 0 2 6 11 14 17 24 36 45 46 38 20 7 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 8 24 44 61 68 63 48 32 19 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 1 2 6 7 9 10 10 10 9 7 5 3 2 1 1 2 4 8 10 10 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 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 3 2 0 0 1 3 5 6 8 11 18 23 28 31 22 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 16 34 47 48 30 17 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 4 6 8 9 12 12 12 11 9 8 6 5 6 6 7 9 10 10 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 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 4 2 0 0 0 0 1 1 2 4 7 10 14 20 20 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 4 4 2 0 0 0 0 0 0 0 0 0 0 1 4 8 11 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 8 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 5 4 2 0 0 0 0 0 1 3 5 7 9 12 17 19 17 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 1 2 5 11 9 5 1 0 0 0 0 0 0 0 0 0 1 5 9 12 12 10 10 10 10 10 9 9 8 8 8 8 8 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 1 2 1
0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 6 8 10 11 9 8 7 6 4 3 3 3 4 6 8 10 12 14 18 22 22 15 9 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 3 7 8 6 2 1 1 1 0 0 0 0 0 0 3 7 10 12 11 10 10 10 8 7 6 5 4 4 6 6 7 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 2 4 3
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 1 1 2 3 3 3 5 8 10 11 12 14 13 13 14 15 16 14 11 9 8 10 13 18 22 22 23 24 22 15 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 0 2 3 4 6 7 8 10 10 8 7 8 8 9 11 12 12 10 9 8 6 4 3 2 2 2 3 4 5 6 7 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 1 3 5 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 1 2 2 2 2 3 3 5 8 10 11 11 10 13 14 15 17 19 19 19 17 15 15 16 22 29 32 29 28 26 21 14 7 3 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 1 0 0 0 0 0 0 0 0 1 10 16 22 28 30 30 29 26 22 17 17 16 13 8 5 2 0 0 0 0 2 5 8 8 8 7 7 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 1 2 6 6 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 1 1 1 1 1 2 4 7 10 10 9 8 8 10 12 13 13 14 14 15 16 16 23 30 36 40 38 34 31 26 20 13 7 3 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 7 8 8 5 6 6 6 6 8 15 22 28 33 36 36 34 31 27 19 14 11 7 6 5 4 3 0 1 3 5 8 9 9 8 7 5 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 2 6 10 10 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 1 1 2 2 2 3 4 7 8 7 6 6 7 8 9 11 12 15 19 24 25 39 47 49 47 40 34 25 18 14 10 5 2 0 0 1 1 2 2 2 1 0 0 1 1 1 1 0 0 0 2 4 5 4 3 4 5 6 6 8 11 13 17 22 28 34 39 36 34 35 34 32 30 29 29 30 32 30 27 24 20 15 11 8 6 6 6 6 7 6 8 10 10 9 8 7 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 1 3 9 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 0 0 0 0 0 1 2 3 2 3 7 12 15 17 17 16 16 15 16 19 24 27 33 43 52 55 57 56 52 47 37 25 13 5 3 2 1 0 0 0 0 1 1 1 0 0 0 1 4 5 4 2 0 0 1 4 10 12 13 14 15 14 15 17 20 24 28 34 40 46 52 58 62 63 62 59 53 44 36 31 28 28 27 24 20 14 9 6 5 5 5 5 6 6 7 8 8 8 6 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 1 6 10 12 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 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 12 24 32 32 33 36 41 46 51 55 60 66 71 70 66 61 54 44 30 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 5 1 0 0 0 3 12 16 18 19 19 20 21 23 27 31 38 46 53 58 59 60 60 60 60 61 60 54 46 39 34 30 27 21 10 5 3 3 3 3 2 2 2 3 4 5 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 12 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 0 0 0 0 0 0 0 0 0 0 0 0 4 12 21 23 23 38 53 62 70 74 74 68 56 49 50 51 48 33 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 2 11 18 21 24 24 24 25 27 29 32 38 46 54 58 57 54 52 50 48 50 52 52 49 44 37 30 25 19 12 7 3 3 2 1 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 33 49 62 71 67 49 20 13 15 17 14 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 1 5 12 18 23 27 29 29 29 30 32 34 36 40 43 47 46 44 41 37 34 35 37 39 39 36 29 22 17 12 9 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 13 15 18 18 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 21 35 50 49 29 6 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 3 9 16 20 24 28 31 33 35 37 39 38 35 33 31 31 32 31 27 23 20 19 20 21 20 18 14 11 8 5 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 4 8 12 16 20 21 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 22 25 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 1 4 14 20 24 28 32 34 36 39 42 44 40 34 28 23 20 18 15 12 10 8 7 7 6 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 18 22 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 1 4 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 2 11 19 25 30 34 35 36 36 36 35 33 29 23 17 12 7 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 10 14 18 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 23 30 32 31 29 28 26 24 21 17 12 8 4 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 3 7 10 12 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 2 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 0 0 0 0 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 18 22 23 21 20 18 17 15 13 10 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 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 3 9 14 16 12 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 1 4 7 10 12 15 16 16 16 16 15 12 9 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 1 2
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 15 25 33 32 23 12 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 2 4 6 8 12 15 17 18 19 19 16 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 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 13 22 35 43 39 27 12 9 7 6 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 13 15 17 17 17 15 12 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 1 4 8 16 28 43 48 43 30 20 17 18 20 20 20 15 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 0 0 0 0 0 0 0 0 0 0 0 3 5 7 8 10 11 11 11 10 7 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 1 4 9 17 26 34 42 45 42 37 39 42 45 48 41 27 11 0 0 0 1 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 6 6 5 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 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 2 6 14 22 26 26 33 41 44 46 50 57 67 76 61 34 6 0 0 0 1 6 8 8 6 5 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 9 13 16 20 26 36 47 55 58 63 68 75 89 70 38 7 1 0 0 1 5 11 12 11 11 10 9 6 2 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 1 2 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 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 12 14 22 33 46 58 66 70 75 79 82 90 67 37 11 2 0 0 0 1 3 6 9 12 12 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 2 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 6 10 13 18 27 40 52 62 70 76 82 86 90 87 67 42 18 6 3 3 4 4 2 1 2 5 6 5 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 11 11 10 13 18 24 29 36 47 58 67 75 80 83 86 89 84 71 52 31 19 14 14 18 19 18 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 12 19 23 24 24 24 24 28 34 40 44 45 54 64 73 80 82 83 84 85 82 74 60 42 35 33 33 34 34 31 23 12 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 0 0 0 1 2 4 4 5 6 8 13 21 30 37 39 39 39 40 41 47 52 56 57 56 62 69 77 80 80 79 79 80 79 74 66 52 46 43 41 42 40 34 24 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 7 9 12 16 24 33 42 49 54 57 59 61 61 68 72 73 68 65 67 71 75 76 74 73 73 73 73 72 68 61 56 53 51 51 48 39 25 8 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 20 25 33 41 48 54 62 69 74 76 78 80 80 77 72 69 68 68 68 66 62 55 56 63 69 70 68 66 65 65 65 58 45 29 13 6 2 0 0 0 0 0 1 2 3 4 4 6 10 14 17 15 10 8 6 5 6 8 8 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 16 18 20 24 28 34 40 44 53 61 66 72 72 72 72 71 67 62 58 57 58 59 59 57 61 65 68 70 71 73 75 78 77 66 50 34 20 11 4 1 0 0 0 2 4 7 9 10 12 19 27 34 39 38 33 28 22 16 14 13 13 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 16 18 20 21 21 22 25 27 29 32 39 47 53 58 58 57 56 56 56 54 51 51 51 54 58 60 62 65 68 69 72 75 78 82 78 66 51 37 24 12 4 1 0 0 2 6 10 13 16 18 22 28 35 42 47 47 44 39 32 25 20 17 16 14 11 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 15 17 17 17 18 21 23 24 27 32 35 38 40 40 40 41 45 48 50 51 52 54 57 61 65 67 70 72 73 73 75 77 78 69 56 42 28 14 6 2 0 0 0 2 8 16 21 25 29 32 35 38 42 45 45 44 41 36 29 23 19 17 16 14 11 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 1 3 3 4 7 10 14 18 21 22 22 24 25 24 24 24 24 25 26 28 33 38 44 50 54 57 59 62 65 69 73 74 76 77 78 77 76 74 67 53 38 24 12 4 0 0 0 0 0 2 9 22 31 37 39 40 41 42 43 44 43 41 40 37 31 24 19 16 14 13 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 0 0
0 0 0 0 0 0 0 0 1 3 3 3 4 7 11 17 22 26 29 29 29 27 25 23 22 23 24 26 32 38 44 53 60 65 67 69 71 73 77 81 81 80 79 79 78 74 67 54 38 23 11 3 1 0 0 0 0 0 3 9 21 32 40 43 44 46 48 50 48 45 43 41 36 30 23 17 14 13 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 2 3 4 4 5 8 13 19 24 28 30 30 29 28 27 27 26 26 27 29 36 46 57 68 75 79 80 82 83 84 85 88 87 85 84 82 78 72 64 50 33 18 7 2 0 0 0 0 0 0 2 8 17 27 37 44 48 50 51 53 51 48 46 42 35 27 20 14 11 10 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 2 3 4 5 7 10 15 18 21 23 24 25 28 32 37 37 35 34 36 40 50 63 77 86 91 93 93 95 95 95 94 93 92 91 90 87 82 76 68 54 39 24 11 4 1 0 0 0 0 0 1 7 16 25 35 44 48 49 50 50 49 46 44 39 32 25 17 12 9 7 7 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 1 3 4 5 6 8 11 12 13 14 16 20 25 30 31 30 32 38 47 55 63 74 86 93 95 96 100 101 100 98 95 92 90 89 89 87 82 75 67 58 47 35 22 10 3 0 0 0 0 1 3 10 19 30 40 46 48 48 48 46 44 42 40 36 30 23 16 11 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 0 1 2 2 3 4 6 7 9 10 13 16 17 16 14 15 21 32 49 60 67 74 84 92 94 93 95 98 98 95 89 86 83 82 83 82 77 71 65 59 53 45 36 23 13 6 4 3 3 4 8 17 27 38 47 52 52 50 48 44 41 39 37 34 29 22 16 11 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 0 0 0 0 0 0 0 0 0 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 4 4 4 4 4 3 2 0 0 1 2 3 5 8 12 15 17 18 13 8 5 6 10 18 29 44 57 67 74 83 91 94 93 94 97 96 92 86 84 80 78 81 78 74 69 64 59 55 51 47 41 33 25 19 16 16 18 24 32 39 45 49 50 50 49 47 43 40 38 37 33 29 24 19 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 7 7 7 6 6 4 3 2 3 4 6 8 10 14 17 18 18 17 11 7 5 8 14 23 36 52 64 74 81 85 89 90 90 90 90 89 88 86 84 81 79 80 78 73 67 62 57 53 52 51 50 48 45 40 36 34 34 36 38 40 43 45 47 48 48 46 43 39 37 35 32 30 27 22 15 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 7 7 9 9 9 8 6 6 6 7 8 10 12 16 16 16 15 12 10 10 11 16 25 35 45 60 72 81 86 88 88 88 88 88 89 89 89 90 88 85 81 78 75 71 66 60 55 51 50 50 50 50 50 48 45 43 41 41 42 44 46 47 48 48 48 46 44 40 37 34 33 32 31 26 17 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 8 8 10 11 10 8 7 6 6 7 8 10 13 15 16 16 16 16 18 20 25 32 42 50 59 69 79 86 88 87 87 87 87 88 86 86 89 91 88 83 78 76 75 72 66 60 55 52 49 48 48 48 48 47 46 44 42 41 42 46 50 52 52 51 48 48 46 43 40 39 38 38 37 30 20 8 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 7 6 7 7 8 7 7 8 9 12 14 15 16 16 18 20 22 30 37 43 48 57 65 73 77 81 84 86 83 83 84 85 84 78 73 72 70 69 71 76 76 77 75 66 61 58 55 52 49 47 46 46 45 44 42 41 39 39 41 46 53 57 57 52 50 49 48 47 46 45 44 42 34 23 11 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
8 8 8 8 9 11 12 12 12 13 14 16 18 19 20 21 21 20 23 36 48 55 59 67 74 79 79 80 80 81 80 81 83 84 80 73 65 58 55 56 61 71 72 71 70 66 62 59 56 52 48 46 45 44 43 42 41 39 37 37 38 43 50 56 58 57 55 54 54 53 52 51 50 45 37 27 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 0
10 11 12 12 13 14 14 15 16 18 20 22 24 25 27 29 28 26 26 42 56 65 72 77 81 82 82 80 77 74 77 79 81 83 80 73 66 59 55 54 56 60 61 62 62 63 60 56 52 48 44 42 42 44 44 44 43 41 39 39 40 45 50 55 58 58 58 58 58 58 56 54 52 47 40 32 23 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12 16 18 17 16 15 16 17 19 21 25 29 31 33 38 46 46 39 43 54 64 71 77 80 79 77 77 76 74 71 75 79 81 82 78 72 66 62 58 56 55 54 53 53 55 55 53 49 45 40 37 37 39 42 45 47 46 44 43 44 49 52 54 58 62 63 62 60 61 60 58 55 52 48 44 38 32 22 14 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20 22 21 18 16 16 18 20 23 26 29 31 33 35 40 49 51 48 53 58 63 67 71 74 78 80 76 74 74 74 76 77 78 76 71 66 62 63 61 58 54 51 50 50 50 48 46 43 39 35 33 33 35 39 42 45 46 46 48 52 54 54 56 60 64 66 65 62 60 58 56 55 52 50 46 42 38 30 22 15 10 7 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 17 15 16 17 20 22 25 28 31 32 32 32 36 40 43 44 46 50 53 56 59 62 66 71 68 68 70 72 73 73 72 70 66 64 62 64 62 58 52 50 48 46 45 49 47 42 36 32 31 32 34 35 36 38 40 41 44 48 52 52 54 58 62 63 63 62 58 55 52 52 51 50 48 46 42 36 30 23 16 11 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 12 13 15 18 22 25 28 30 31 31 30 30 32 34 37 40 43 46 48 48 48 50 52 56 58 60 63 66 68 69 69 67 66 65 64 63 59 55 52 48 44 42 40 44 42 38 32 30 30 32 33 34 34 33 33 34 36 40 46 48 50 51 54 56 57 58 54 50 48 48 48 48 48 47 45 42 38 30 22 15 9 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 10 14 18 23 27 30 32 32 32 31 31 32 33 35 38 42 46 48 47 45 45 46 49 52 56 61 65 68 69 68 67 66 64 63 61 57 53 50 45 41 37 34 35 34 32 29 28 29 30 31 32 33 33 32 32 33 35 39 42 45 46 47 48 50 52 49 47 47 48 48 48 48 47 46 45 42 34 26 19 12 9 6 4 4 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
1 2 3 6 11 17 24 28 31 33 33 33 33 33 33 34 35 37 41 47 50 50 48 48 50 52 56 62 67 69 70 70 69 65 62 59 58 59 55 50 46 41 36 32 29 28 27 27 25 26 26 27 29 30 31 31 30 30 29 30 33 35 38 39 40 42 44 48 47 46 46 46 46 46 47 46 45 43 40 35 28 22 17 14 10 6 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0