Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 8 8 8 8 8 8 8 7 5 4 5 7 8 8 8 9 8 8 8 8 8 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 10 11 11 11 11 11 10 9 9 9 8 8 8 8 8 9 9 9 10 10 11 12 13 14 14 15 15 16 17 16 15 14 12 11 11 11 12 11 11 10 11 11 12 11 9 9 10 10 10 10 12 14 13 12 11 11 11 11 11 10 10 10 9 9 8 8 9 9 9 10 10 10 10 9 8 7 5 5 5 6 7 8 8 9 10 10 10 11 11 11 11 10 9 7 6 7 8 8 7 7 7 7 7 8 9 9 9 8 9 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 10 12 nan
nan 8 8 8 8 8 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 9 9 9 9 10 11 12 11 11 11 10 9 8 8 8 8 9 9 9 9 10 10 11 12 13 14 15 16 17 17 17 16 15 15 14 12 10 9 8 7 8 8 9 8 8 8 9 9 9 8 8 8 8 8 10 12 13 12 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 8 8 7 7 6 5 5 5 6 7 9 9 9 9 10 10 10 10 10 10 10 10 9 7 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 10 11 12 12 12 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 8 8 9 10 11 nan
nan 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 8 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 9 8 8 8 8 8 9 9 9 10 11 12 13 15 16 17 18 18 18 16 15 12 10 9 8 7 7 7 7 7 7 7 8 8 7 7 8 8 7 7 8 8 8 8 9 11 11 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 10 9 7 6 6 5 5 5 6 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 7 6 6 7 7 8 8 8 8 8 8 9 9 9 10 10 11 12 13 13 11 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 9 9 nan
nan 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 8 8 8 7 6 6 5 5 5 5 6 7 8 9 9 8 7 6 6 7 9 10 11 12 12 12 11 11 11 10 10 9 8 8 8 8 9 9 10 10 10 11 12 14 16 17 17 17 16 15 13 11 9 8 7 6 5 6 6 7 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 10 10 11 11 12 12 12 11 11 9 8 7 7 7 8 9 10 11 12 12 12 12 12 11 11 10 10 10 10 11 12 11 10 9 8 6 7 8 9 9 9 8 8 8 9 9 10 9 10 10 10 11 13 12 10 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 6 5 5 5 5 6 6 7 8 8 8 8 7 6 6 7 8 10 12 13 13 12 12 11 10 10 9 9 9 9 9 9 10 10 11 11 12 12 13 15 16 17 17 15 13 11 9 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 11 11 11 11 10 9 9 8 8 9 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 8 7 8 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 10 10 9 9 10 11 11 10 10 10 11 11 10 10 9 9 nan
nan 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 6 6 5 5 5 6 7 7 7 8 8 8 7 6 6 7 8 9 11 12 13 13 13 12 11 10 10 9 9 10 10 10 10 10 11 12 12 13 14 15 16 16 17 16 13 11 9 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 10 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 8 8 8 8 9 11 12 11 10 10 9 9 9 9 10 10 10 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 11 12 11 11 11 11 11 12 12 11 10 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 8 8 7 6 6 6 5 6 6 7 7 7 7 7 7 7 6 6 6 8 9 11 12 13 14 13 13 12 11 11 10 10 10 10 11 11 11 11 12 12 13 14 15 16 17 17 16 15 12 9 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 10 11 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 11 11 11 11 12 12 12 12 12 12 11 11 nan
nan 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 8 8 7 7 7 6 6 7 7 9 10 12 13 14 14 13 13 12 12 11 11 11 12 12 12 12 12 12 13 13 14 14 15 16 17 17 16 14 11 9 7 6 6 6 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 10 10 10 11 12 12 12 12 12 12 12 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 7 8 9 10 11 12 13 13 13 13 13 13 13 12 12 12 12 13 13 12 12 12 12 13 13 14 15 15 16 17 16 15 13 11 8 7 6 6 6 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 11 11 10 9 9 9 10 11 12 12 13 14 14 nan
nan 8 8 8 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 9 10 11 12 13 14 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 12 12 12 13 14 15 16 16 16 15 13 11 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 8 8 7 7 7 8 9 10 11 11 12 13 13 12 12 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 10 11 11 11 10 10 10 11 11 12 13 14 14 13 nan
nan 7 7 8 8 8 8 8 8 7 7 7 6 6 5 5 5 5 6 6 6 6 7 7 7 7 8 8 9 10 11 12 13 14 14 15 14 14 13 13 13 12 12 12 12 11 11 11 10 10 10 11 11 11 12 12 13 15 15 16 16 15 13 11 9 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 8 8 7 8 10 11 11 12 13 13 13 12 11 11 11 10 10 10 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 12 12 12 13 13 13 13 12 11 10 nan
nan 6 7 7 8 8 7 7 6 6 6 5 5 5 5 5 5 6 7 7 7 7 8 8 9 9 10 11 12 13 14 14 15 14 14 14 14 14 14 13 12 12 11 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 16 16 15 13 11 9 8 7 7 7 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 9 8 8 7 8 9 9 9 9 8 9 10 11 11 11 11 11 10 9 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 7 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 8 9 10 11 12 12 12 13 13 14 14 14 12 11 9 9 nan
nan 6 6 7 7 7 6 6 5 5 5 5 5 5 6 6 7 7 8 8 9 9 10 11 11 12 13 14 15 16 16 15 14 14 14 13 13 13 13 12 10 10 9 9 9 10 10 11 11 11 11 11 11 12 12 13 14 15 15 15 14 12 10 9 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 10 10 9 9 10 10 11 10 10 9 9 9 9 10 11 11 10 10 10 9 9 9 9 9 8 7 7 8 8 8 7 5 4 4 6 8 8 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 12 12 12 12 12 13 13 13 13 12 11 10 10 10 nan
nan 6 7 7 7 7 6 6 6 6 6 6 7 7 7 8 9 9 9 10 11 11 12 13 13 14 14 15 16 16 16 15 14 13 12 11 10 9 9 8 8 9 9 10 10 11 11 11 11 10 10 10 11 11 12 13 14 15 15 15 13 11 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 11 10 10 9 9 9 9 10 11 10 10 10 10 10 9 9 9 9 8 7 6 6 7 7 7 7 7 8 9 9 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 10 10 11 11 10 10 10 11 12 12 12 12 12 12 11 11 11 10 9 9 9 9 9 10 nan
nan 9 9 9 9 8 9 9 9 10 10 9 9 10 10 11 11 11 11 11 12 13 14 14 14 15 15 16 16 15 14 13 12 11 10 8 7 7 7 8 9 10 11 11 11 11 11 10 10 9 9 10 10 11 12 13 14 15 15 14 12 10 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 6 6 7 8 9 8 8 8 9 10 9 9 10 10 10 9 9 9 8 6 6 6 6 7 8 8 8 9 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 11 9 8 7 6 6 6 7 7 8 8 nan
nan 14 14 13 12 12 12 12 13 14 14 13 13 13 13 14 14 13 12 12 13 14 15 15 14 14 14 14 13 13 12 10 9 8 7 6 6 7 8 10 11 12 12 11 11 10 9 9 9 9 9 9 10 11 12 13 14 14 14 13 10 8 7 6 6 6 7 7 8 8 8 8 8 8 9 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 8 7 5 3 -0 -2 -3 -2 0 3 4 4 4 4 6 7 7 8 9 10 9 9 9 9 7 6 6 7 7 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 8 6 5 4 4 5 6 7 7 8 9 nan
nan 19 18 16 15 14 14 14 15 15 16 15 15 15 15 16 16 14 13 13 13 13 13 13 12 11 10 11 10 9 9 8 7 6 6 6 7 9 11 13 13 12 11 10 9 9 9 9 9 9 9 10 10 11 12 13 14 14 14 12 9 7 6 5 6 6 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 7 3 -1 -4 -7 -8 -8 -6 -4 -1 -1 -1 -1 -2 -0 2 4 6 8 9 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 6 6 6 6 8 9 10 10 10 10 10 nan
nan 19 16 15 14 14 15 14 14 14 15 15 15 15 14 14 14 12 12 11 11 11 10 9 8 7 8 8 7 7 6 6 5 6 7 8 10 12 14 13 12 11 10 9 9 8 9 9 9 9 10 10 11 12 13 13 14 14 13 11 8 7 6 6 7 7 8 9 9 10 10 10 10 10 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 9 9 9 6 0 -6 -10 -9 -7 -4 -1 2 4 5 4 2 0 -1 0 1 3 5 7 8 8 8 8 8 7 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 7 7 6 6 7 7 8 10 11 12 12 12 11 10 9 nan
nan 13 11 10 11 13 14 13 13 13 13 12 12 12 11 10 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 5 6 7 9 11 13 14 13 12 10 9 9 8 8 9 9 9 9 10 10 11 11 12 13 13 13 14 12 9 7 5 5 6 7 9 9 9 9 10 9 9 10 10 9 9 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 9 9 9 9 8 8 8 3 -4 -9 -8 -3 2 6 9 11 13 13 12 11 9 7 6 5 4 3 3 3 3 4 5 6 6 7 8 8 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 9 9 8 7 6 6 5 5 6 7 8 8 8 8 7 7 7 7 8 9 10 11 12 12 11 10 9 8 7 nan
nan 7 6 7 9 11 12 11 11 11 10 10 10 10 9 8 8 8 8 7 7 7 7 6 5 5 6 6 6 6 7 7 8 10 12 14 15 14 12 10 9 8 8 8 9 9 9 9 10 10 11 11 12 12 12 13 13 13 11 8 5 4 3 5 8 9 10 9 9 8 8 7 6 6 7 7 8 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 9 9 10 10 10 10 9 9 9 9 7 3 -1 -2 2 7 11 14 15 16 18 17 16 15 14 13 12 10 7 3 -0 -2 -2 -1 0 1 3 4 5 7 8 8 8 9 9 9 10 10 10 11 11 10 10 9 9 9 9 10 10 10 9 8 8 8 7 7 6 5 5 5 6 7 8 8 8 7 7 7 8 9 9 9 9 10 10 9 8 8 7 7 8 nan
nan 5 6 7 10 11 10 9 9 9 8 8 8 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 7 8 9 10 11 13 14 15 14 12 10 9 8 8 8 8 9 9 9 10 10 11 11 12 11 11 12 12 12 13 12 10 7 5 4 6 7 8 9 9 8 7 6 5 3 2 2 4 6 8 9 9 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 6 8 12 16 18 19 20 21 20 18 16 15 14 14 14 13 10 7 4 2 -0 -1 -2 -3 -2 -0 2 5 7 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 7 6 5 5 6 7 7 7 7 8 9 9 8 7 7 7 8 8 9 9 10 10 9 9 9 8 8 8 8 9 10 nan
nan 7 8 9 10 10 8 7 7 7 7 8 8 8 9 9 8 8 7 6 6 6 6 6 6 7 8 8 9 10 11 13 14 14 14 13 11 10 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 12 13 13 12 11 9 7 7 7 7 8 8 8 7 6 4 3 1 0 0 2 4 7 8 9 9 8 9 9 10 10 9 9 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 9 9 9 11 13 16 18 19 19 20 19 17 15 14 14 14 14 14 13 12 11 10 9 7 4 2 0 -1 -1 1 4 6 7 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 6 6 5 5 6 7 8 10 11 11 11 10 9 8 8 8 9 9 10 10 10 10 10 9 9 8 9 9 9 10 9 nan
nan 7 7 8 9 9 8 7 6 6 8 8 8 8 8 8 8 7 6 5 5 6 6 7 7 8 9 11 11 12 14 15 15 13 12 11 10 9 9 8 8 8 9 9 9 10 11 11 11 11 11 10 10 10 10 11 11 13 13 13 13 11 10 8 7 7 7 7 8 7 6 4 3 2 0 -0 -0 2 5 7 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 10 10 9 9 10 10 8 7 8 9 10 11 12 13 13 13 12 12 11 12 13 14 15 15 14 13 13 12 12 12 12 11 9 8 7 6 5 5 5 4 5 6 6 6 6 6 6 6 6 7 8 9 9 9 8 8 7 7 8 9 9 9 9 9 10 12 12 12 11 10 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 8 8 nan
nan 6 5 6 7 8 8 7 6 6 7 8 8 8 8 7 7 7 6 6 6 6 7 8 9 10 11 12 13 14 15 15 14 12 11 10 9 9 9 8 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 11 12 13 14 13 12 11 9 8 7 7 8 8 8 6 5 4 3 1 1 0 1 3 6 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 10 8 7 8 8 8 6 7 8 8 7 7 8 8 7 5 5 6 8 11 13 15 16 16 16 15 13 13 13 13 14 14 14 14 14 13 11 8 5 3 2 3 4 4 5 6 6 5 5 5 6 7 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 nan
nan 6 6 6 7 8 8 7 6 5 5 6 6 7 6 6 6 6 6 6 7 7 8 9 10 12 13 14 15 16 16 15 13 11 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 10 10 11 12 13 14 13 12 11 10 8 8 8 9 9 8 6 5 4 3 2 2 2 2 3 5 8 9 10 10 10 10 10 10 10 10 9 8 7 7 8 9 10 8 5 5 6 6 5 5 6 7 6 6 6 7 6 3 2 3 6 9 12 14 15 16 17 18 16 15 14 15 15 16 17 17 18 17 16 13 11 9 7 6 4 4 3 3 4 5 5 5 5 5 5 6 7 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 8 9 10 11 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 nan
nan 8 7 8 8 9 9 7 5 4 3 4 5 6 6 6 6 6 6 6 7 8 9 11 12 13 14 15 16 16 15 13 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 11 10 8 8 8 10 10 9 7 5 4 4 3 3 3 3 3 5 7 9 10 10 10 10 9 9 10 10 10 9 7 7 8 9 9 7 5 5 5 6 5 6 6 6 6 7 8 8 6 6 7 10 13 15 16 15 15 16 17 17 17 16 16 17 18 19 20 20 20 19 18 15 13 12 11 9 8 6 3 2 2 3 4 5 5 5 4 4 5 6 6 6 6 6 6 7 8 8 9 8 7 6 6 6 6 7 8 9 9 9 9 10 10 10 9 9 10 11 11 11 10 10 10 10 nan
nan 10 9 8 8 8 7 6 5 4 3 4 5 6 7 6 6 6 6 7 8 10 11 12 13 14 14 15 15 15 13 12 10 9 9 9 8 8 8 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 11 12 13 14 13 12 10 8 8 8 10 10 9 7 5 5 4 4 4 3 3 4 4 5 7 9 10 10 10 9 9 9 10 11 10 8 8 8 9 9 8 7 7 7 7 7 7 8 8 8 9 10 10 11 12 15 18 19 19 17 16 16 16 17 16 16 17 18 19 21 22 23 23 23 22 20 17 14 13 12 11 10 8 6 4 2 1 1 3 5 5 5 5 5 6 6 6 6 6 8 10 11 12 11 10 9 9 9 8 8 8 8 8 9 10 11 12 12 11 10 9 10 11 11 12 13 13 12 11 nan
nan 8 7 7 7 7 6 5 5 5 5 6 7 8 8 7 6 6 8 9 12 13 14 14 14 14 15 15 14 12 11 10 9 9 9 9 8 8 8 9 9 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 9 10 12 13 14 14 13 11 10 8 9 9 10 9 7 6 5 5 4 4 4 4 3 3 4 7 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 8 7 8 9 10 10 11 11 11 12 13 15 17 18 18 17 15 15 16 16 16 15 14 15 16 18 20 21 21 21 21 20 18 17 15 15 15 14 14 13 12 10 8 4 2 2 3 6 7 7 8 8 8 8 9 10 11 12 13 13 12 11 10 10 11 11 10 10 9 9 10 11 11 11 10 10 10 10 10 10 10 11 11 11 10 9 nan
nan 4 4 5 6 7 7 7 7 7 7 8 8 8 8 7 8 9 11 13 14 15 15 14 14 14 14 14 12 11 10 9 9 9 9 9 9 8 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 8 7 8 10 12 14 15 14 13 12 11 10 9 10 10 9 8 6 6 5 5 4 4 4 3 3 5 9 11 11 10 9 9 10 10 10 10 10 10 10 10 10 11 10 10 8 6 7 9 10 11 11 11 11 11 12 13 13 14 13 13 13 13 14 15 15 13 12 11 11 12 14 15 15 15 15 15 15 15 15 17 18 18 19 19 20 20 19 17 14 11 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 9 10 11 12 11 11 10 9 8 8 7 7 nan
nan 2 3 5 6 7 8 7 7 7 8 8 8 8 9 9 10 12 14 15 15 14 14 14 13 14 13 12 11 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 10 11 13 14 14 14 13 13 12 11 10 10 10 9 8 7 6 5 5 5 5 4 4 4 8 12 14 13 11 8 9 10 11 11 11 11 11 11 11 11 11 10 8 7 6 8 9 11 11 11 11 11 11 12 12 11 11 10 10 11 12 13 14 13 11 9 9 9 10 10 10 11 11 11 11 11 12 13 14 16 17 18 20 21 22 22 22 22 21 20 17 14 12 11 11 11 11 11 11 11 10 9 8 8 8 9 10 11 12 12 12 13 13 12 11 9 8 8 10 12 13 13 12 10 9 7 7 7 8 8 nan
nan 4 5 6 7 8 8 7 7 8 8 9 9 10 11 12 14 15 16 15 14 13 13 13 13 12 12 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 13 13 14 14 14 14 12 11 11 10 9 8 7 7 6 5 5 5 5 5 7 11 14 15 14 10 8 9 10 11 11 11 11 11 12 12 12 11 9 8 7 8 9 10 10 11 11 11 11 11 11 11 11 10 10 10 11 12 13 13 10 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 12 13 15 16 16 16 17 19 20 21 19 17 15 13 12 11 11 11 11 11 11 11 10 9 9 10 11 11 12 12 13 14 14 14 14 13 13 12 12 12 13 12 12 11 10 9 8 9 11 12 13 nan
nan 6 6 7 8 8 9 9 9 10 10 11 12 13 14 15 16 16 15 14 13 12 12 12 12 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 12 13 15 16 16 15 14 13 13 12 10 8 7 7 7 6 6 5 6 7 10 13 15 14 12 10 9 10 11 11 11 10 11 11 11 11 11 10 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 8 7 7 7 8 9 9 9 10 10 10 11 11 11 11 11 11 12 12 13 12 12 12 12 13 13 12 12 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 11 12 13 14 14 14 14 14 15 15 15 15 14 13 12 12 12 12 12 13 14 15 15 16 nan
nan 6 6 7 8 9 11 12 13 13 13 14 15 16 17 17 16 15 14 13 12 12 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 13 15 16 17 16 15 15 15 14 11 9 8 7 7 6 6 6 7 9 12 14 14 13 11 10 11 11 11 11 10 10 10 9 9 8 9 9 10 9 9 8 8 8 9 9 10 9 9 9 10 10 10 10 10 11 12 13 12 9 6 6 7 8 10 10 11 11 11 11 11 12 12 12 12 11 12 12 12 13 12 11 9 8 8 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 9 10 11 12 12 13 14 14 15 15 15 15 14 14 15 15 15 16 16 15 15 15 16 nan
nan 7 8 9 11 13 15 16 16 15 15 16 16 18 18 17 15 13 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 14 16 17 17 16 16 15 13 11 9 8 7 6 6 6 6 8 10 12 13 12 11 11 11 11 12 12 12 11 10 8 6 5 6 8 10 12 11 9 7 7 7 9 9 9 9 9 9 10 11 11 10 11 12 13 12 11 8 6 6 8 10 11 11 11 11 11 11 11 12 12 12 12 11 12 12 13 13 14 13 12 11 9 7 6 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 5 7 8 9 11 12 13 13 13 13 14 15 15 16 16 16 15 15 15 14 15 15 nan
nan 13 12 13 15 16 17 17 17 16 16 16 17 17 17 15 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 9 10 10 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 13 14 16 17 18 17 16 13 10 8 7 7 6 6 6 7 8 10 11 11 10 10 10 10 11 12 13 12 11 9 7 5 5 8 10 12 13 11 8 6 7 8 8 8 8 9 9 10 11 11 11 10 11 13 13 13 11 8 7 7 9 10 11 12 11 11 11 11 11 11 11 11 11 11 12 13 14 15 17 19 19 18 15 12 10 8 7 6 5 4 4 3 3 3 3 3 4 5 5 5 6 5 5 5 5 6 6 7 8 10 11 12 12 13 14 14 15 15 14 14 14 14 14 15 15 nan
nan 18 17 17 17 17 16 16 15 14 14 15 15 14 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 11 11 11 10 11 11 12 12 12 12 12 11 10 10 10 10 10 11 12 13 15 17 19 19 18 14 11 8 7 6 6 6 6 7 8 9 9 9 10 10 10 10 11 12 13 12 10 9 7 7 8 10 11 11 11 8 6 6 7 7 7 7 8 9 10 11 11 11 11 11 13 14 14 13 11 9 9 9 10 11 11 12 11 11 11 10 10 10 10 10 11 11 12 13 14 16 18 21 23 23 22 20 17 15 13 12 10 9 7 7 6 6 7 8 10 11 12 13 13 13 12 11 9 8 6 6 7 9 11 12 12 12 13 13 13 13 13 13 13 14 14 15 15 nan
nan 18 18 18 17 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 12 13 13 13 12 11 11 10 10 10 10 10 11 12 13 15 17 19 20 19 16 12 9 7 6 5 6 6 7 8 8 8 9 10 11 12 12 11 11 11 10 9 8 8 8 9 9 9 8 8 8 8 8 7 6 6 7 8 9 11 11 12 12 12 13 14 14 13 11 10 10 10 10 10 11 12 12 11 11 10 9 9 9 10 10 11 11 12 13 13 14 16 18 20 21 23 24 23 21 20 19 18 17 16 15 15 15 16 16 17 17 18 18 18 18 17 16 15 13 11 11 11 11 11 11 11 12 12 12 13 13 13 13 14 14 14 14 14 nan
nan 13 16 16 15 13 11 10 10 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 12 13 13 12 12 11 10 10 9 9 10 11 11 12 13 15 17 18 19 19 17 14 10 7 6 5 5 6 7 8 8 8 9 10 13 13 13 12 11 9 8 8 8 9 9 8 8 7 8 9 10 11 10 8 7 8 9 11 11 11 12 12 13 14 14 13 11 10 9 9 9 10 10 11 12 13 12 11 10 9 9 9 9 10 10 11 12 12 12 13 13 13 14 15 17 20 22 23 23 24 23 23 23 23 23 22 21 21 21 20 20 19 19 19 19 19 18 18 17 17 16 15 13 12 11 11 11 12 13 14 14 14 13 13 13 13 13 12 nan
nan 10 12 13 12 11 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 10 10 11 11 12 13 14 15 16 17 17 17 14 11 9 7 5 5 5 7 8 8 8 9 11 14 13 12 11 9 7 7 8 10 11 10 10 9 9 11 12 13 12 10 8 10 12 14 14 14 12 12 12 12 13 12 10 8 7 7 8 9 10 11 12 13 13 12 11 10 9 9 9 10 10 11 11 12 12 12 12 11 11 12 13 14 16 18 19 21 23 23 24 24 25 25 24 23 22 21 20 19 18 18 18 18 18 18 19 20 21 20 19 17 15 14 14 14 14 15 15 15 14 13 13 13 13 13 13 nan
nan 9 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 12 12 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 11 12 13 14 13 13 14 15 15 14 12 10 8 6 5 5 6 7 8 8 10 12 13 12 11 9 7 7 8 10 11 12 12 11 11 11 13 13 12 10 9 9 11 14 16 16 14 13 12 12 11 10 8 6 5 6 7 9 10 12 12 13 13 12 11 10 10 9 9 9 10 10 11 11 11 12 11 11 11 12 12 13 13 14 15 16 18 19 20 21 22 22 22 21 20 19 17 17 16 16 16 16 17 17 18 19 21 23 24 23 20 17 16 17 17 17 16 15 15 14 14 14 13 13 14 14 nan
nan 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 14 15 15 14 12 10 8 6 5 5 6 7 8 10 12 13 11 10 8 8 8 9 10 11 12 12 11 11 12 12 12 11 9 9 11 12 14 15 16 15 15 14 14 12 10 7 6 5 6 8 10 12 13 13 13 12 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 12 13 13 14 14 14 15 15 16 17 18 18 18 17 16 15 15 14 14 14 15 15 15 15 15 16 17 17 18 20 22 20 17 16 15 16 16 15 14 14 14 14 14 14 14 14 15 15 nan
nan 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 10 11 11 11 11 12 11 11 11 11 11 10 10 11 11 11 11 12 11 11 10 10 10 10 11 10 10 10 11 11 11 11 11 12 13 14 15 15 15 12 9 7 5 5 6 7 9 11 12 12 10 9 9 10 10 10 10 11 12 12 12 11 11 11 10 10 10 10 12 13 14 15 16 16 16 17 16 13 10 8 6 6 7 9 11 13 14 13 12 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 11 12 13 13 14 14 15 16 16 17 17 17 16 15 12 11 10 11 12 12 13 14 14 15 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 15 15 nan
nan 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 10 10 10 9 10 12 13 15 16 15 13 10 7 5 4 4 6 8 10 12 11 10 9 9 10 10 10 11 12 13 13 12 11 11 10 10 10 10 11 13 14 15 15 14 14 14 14 14 11 9 6 5 6 8 10 12 14 15 15 14 12 12 12 13 12 10 9 9 9 8 8 8 8 8 9 11 12 12 13 14 15 16 17 17 17 17 16 14 12 10 10 10 11 12 12 12 12 13 13 12 12 10 10 9 9 8 8 8 8 9 10 10 10 10 12 12 13 12 12 12 12 12 12 13 nan
nan 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 8 7 7 7 7 7 7 8 8 8 8 8 8 9 11 12 13 14 15 13 11 8 5 3 2 4 6 9 11 11 9 9 9 10 11 11 12 13 13 12 11 11 10 10 10 10 11 12 14 14 14 13 11 10 10 9 9 8 6 5 5 7 9 11 13 14 16 16 16 16 15 14 13 13 11 10 9 8 7 6 5 5 6 9 11 12 12 13 15 17 19 19 18 16 15 13 11 10 9 10 11 12 12 12 11 11 11 10 10 10 9 8 7 7 8 8 9 9 10 10 10 10 11 12 13 13 13 12 12 11 11 10 10 nan
nan 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 9 8 8 7 6 7 7 7 7 8 7 6 7 8 9 10 11 11 12 13 12 10 7 3 1 1 2 4 8 11 11 10 10 10 11 12 13 13 12 11 10 10 10 10 10 11 11 11 12 12 12 12 11 9 8 8 7 6 6 6 6 7 8 10 11 13 14 16 17 18 19 18 16 15 14 12 10 8 6 5 4 3 4 8 12 13 13 12 13 15 17 18 18 16 14 11 10 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 11 11 11 11 12 13 13 14 14 13 12 11 11 10 10 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 11 11 11 10 9 9 9 9 10 10 10 10 11 11 11 10 10 10 11 12 12 11 11 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 7 6 6 7 9 10 11 11 11 10 9 8 5 2 1 2 3 4 7 10 11 12 11 11 12 13 13 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 7 6 5 6 6 7 8 9 10 11 13 14 15 17 20 22 21 20 18 15 12 9 6 5 4 4 6 9 14 16 16 15 13 12 13 14 14 13 11 10 9 8 8 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 13 14 14 14 12 11 11 10 10 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 12 12 12 11 9 8 8 9 9 10 10 10 11 12 12 11 10 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 9 8 8 7 7 7 7 8 10 10 10 9 9 8 7 4 2 2 3 4 4 6 9 11 12 11 10 11 11 10 9 10 10 10 9 9 10 10 11 11 11 11 11 10 10 9 8 8 6 5 5 6 7 8 9 10 11 12 12 13 14 16 20 24 24 23 19 14 10 7 5 5 6 8 12 17 20 20 18 15 13 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 10 11 12 12 11 11 12 13 14 13 11 10 10 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 10 11 12 12 11 10 9 9 8 9 9 10 10 11 12 12 11 11 12 12 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 4 3 4 5 5 4 5 7 9 10 9 9 9 8 8 10 11 11 10 9 9 10 11 11 10 11 11 10 9 9 8 8 8 6 5 5 6 7 8 9 11 11 12 12 12 13 15 21 24 25 23 16 10 7 5 6 8 12 16 20 22 22 20 17 14 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 8 9 9 9 9 9 9 10 11 11 11 12 13 13 13 11 10 9 8 8 8 nan
nan 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 10 10 11 12 11 10 10 9 9 9 9 9 10 11 11 11 11 12 12 12 11 10 9 9 8 8 8 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 7 6 7 8 9 7 5 4 4 5 4 3 4 5 7 8 9 8 7 7 9 13 14 13 11 11 11 12 12 11 11 10 10 9 8 9 9 10 8 6 4 4 5 7 8 10 11 12 12 11 11 11 14 19 22 23 19 11 7 5 5 9 13 17 21 24 26 25 22 17 14 12 12 12 13 12 11 11 10 10 9 9 9 10 10 10 10 10 11 12 11 11 11 10 9 8 7 8 8 8 8 8 8 8 9 9 10 11 12 12 13 12 10 9 8 8 8 9 nan
nan 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 10 10 11 11 11 10 10 9 9 9 10 10 11 10 10 11 12 12 11 11 10 9 9 8 8 7 7 7 7 8 8 9 10 11 11 10 9 9 9 9 9 9 9 8 7 6 7 8 8 7 5 4 4 4 4 3 4 5 7 9 10 9 9 10 13 16 15 14 13 13 13 13 13 12 11 10 9 8 8 8 9 8 6 3 2 3 5 8 9 11 12 12 12 11 10 10 12 15 16 15 10 6 4 5 7 11 14 18 22 27 29 28 23 18 14 13 12 12 12 12 11 10 10 10 9 10 10 10 10 10 11 11 12 12 12 12 12 11 10 9 8 8 8 8 8 8 7 7 7 7 8 9 10 11 11 10 10 9 9 9 10 10 nan
nan 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 12 11 11 10 9 9 8 8 8 7 7 7 7 8 8 9 10 10 11 10 10 9 9 10 10 10 10 9 8 8 7 7 7 5 4 3 4 4 4 5 6 8 9 10 10 10 11 13 16 16 15 13 13 13 13 13 12 11 10 10 8 7 6 6 5 3 1 -0 1 3 7 9 11 12 12 12 12 12 11 10 11 11 10 6 3 2 3 5 8 10 12 15 20 25 26 24 20 16 14 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 12 11 10 10 9 8 8 8 7 6 5 5 6 6 7 8 8 9 9 9 9 10 10 11 nan
nan 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 10 10 11 10 10 10 11 12 12 12 11 10 9 9 8 8 8 7 7 7 7 7 7 8 10 11 11 11 10 10 10 10 10 9 9 10 9 9 8 6 5 3 3 5 6 6 7 8 10 10 10 9 10 11 12 15 15 14 13 13 13 13 13 12 11 10 9 8 6 4 2 2 1 0 0 1 4 7 10 11 12 13 13 13 14 14 14 13 11 9 6 3 2 3 4 5 7 8 11 14 18 21 20 18 14 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 12 12 13 13 13 12 12 12 11 10 9 8 6 5 4 4 5 6 6 6 7 7 8 8 8 9 9 10 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 10 10 9 9 9 10 11 11 11 11 10 10 9 9 10 10 10 10 10 9 10 11 11 12 12 12 11 10 9 9 9 8 8 7 7 6 7 7 9 10 10 10 10 11 11 10 10 10 9 9 10 10 9 8 6 4 3 4 7 9 10 10 11 11 11 10 9 10 11 13 14 13 12 13 14 14 14 13 12 10 8 6 4 2 -0 -1 -0 1 3 6 8 10 11 12 13 14 15 14 15 16 18 18 17 14 11 8 6 6 6 6 7 8 10 13 16 18 17 16 13 11 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 13 13 12 12 13 13 12 10 8 6 4 4 5 5 6 6 6 6 6 7 7 7 8 8 9 nan
nan 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 7 7 7 8 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 8 6 4 4 6 8 10 11 12 13 12 10 9 10 11 12 13 12 11 10 12 14 15 15 13 10 6 3 1 -0 -1 -1 1 3 7 11 13 14 14 13 14 16 17 17 17 18 19 19 19 18 16 13 11 9 8 8 9 10 12 14 16 17 16 15 12 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 12 12 11 11 12 13 13 13 11 10 8 7 6 6 5 6 6 6 7 7 7 8 8 8 8 9 nan
nan 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 10 8 8 7 7 8 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 8 7 6 6 8 9 11 13 13 12 11 9 10 12 13 14 13 12 10 9 11 13 14 14 12 7 2 1 0 2 3 5 8 12 16 18 18 17 16 17 19 20 20 19 19 18 18 17 15 14 12 11 9 9 9 11 13 14 16 17 17 16 14 12 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 12 12 11 10 10 10 11 12 12 12 11 10 10 9 8 7 6 6 6 7 7 8 8 9 9 9 9 8 nan
nan 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 12 10 9 9 12 15 16 16 14 12 11 11 13 15 16 16 12 7 5 5 7 10 13 15 17 20 22 22 20 18 18 19 20 20 19 17 16 14 13 11 10 9 8 7 6 8 10 13 15 17 18 17 15 13 11 10 9 9 9 9 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 11 11 11 11 11 10 10 9 9 8 7 7 7 7 8 9 9 9 9 9 8 7 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 10 10 9 11 15 18 18 16 14 13 14 16 18 20 21 20 16 12 12 13 16 18 20 21 22 23 21 19 16 14 14 15 15 14 13 12 11 9 8 8 8 8 9 9 9 10 12 14 16 17 17 16 13 11 10 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 8 7 6 6 nan
nan 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 6 6 7 9 9 9 9 10 10 10 10 10 10 9 9 8 9 10 10 11 10 10 10 10 10 9 9 9 9 10 10 10 11 11 13 15 16 16 15 14 14 16 18 20 20 20 19 16 16 16 17 18 19 20 21 20 18 14 11 9 10 11 12 13 12 11 10 10 9 9 11 12 12 13 13 13 13 14 14 15 15 15 13 12 11 10 10 10 10 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 8 7 6 5 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 8 9 9 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 7 9 9 10 10 10 10 9 9 9 9 9 8 8 9 10 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 12 13 13 14 13 12 12 13 15 16 16 15 15 13 13 13 14 14 15 16 16 16 14 12 11 10 10 13 15 16 17 17 16 15 14 14 15 16 17 16 14 14 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 9 10 11 12 12 11 11 11 10 10 10 10 10 10 10 11 11 10 11 11 11 12 11 12 11 11 11 11 10 10 11 11 12 11 11 11 11 10 9 9 10 10 10 10 9 9 8 6 4 nan
nan 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 9 10 12 12 12 11 10 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 12 13 13 13 12 12 13 15 17 18 19 20 20 19 19 18 17 17 18 17 17 15 14 13 13 12 12 11 11 11 10 10 10 10 10 10 11 10 9 9 10 12 14 14 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 nan
nan 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 10 11 12 12 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 9 9 9 8 8 8 9 9 9 9 10 10 11 10 10 9 9 9 8 7 7 6 7 8 9 10 11 12 12 12 12 11 11 11 11 10 10 10 9 9 8 8 8 9 11 13 13 13 13 13 14 15 17 18 18 18 18 17 16 16 15 15 16 15 15 15 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 10 12 14 14 13 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 13 13 14 14 15 15 16 16 16 16 16 15 15 15 15 15 14 13 nan
nan 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 10 11 11 11 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 6 5 4 3 3 5 7 8 9 10 11 11 12 11 11 11 10 10 10 9 8 6 5 5 7 10 13 15 15 14 13 13 14 14 15 15 15 15 14 13 13 12 12 12 12 13 13 13 14 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 13 12 12 11 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 15 15 16 17 17 17 16 17 17 16 16 17 18 18 17 17 nan
nan 11 11 11 11 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 10 11 11 11 11 10 10 9 9 8 7 8 9 11 12 13 12 11 11 11 11 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 5 3 2 1 2 4 6 7 7 7 8 8 9 10 9 8 8 7 8 8 7 6 2 2 4 8 13 16 16 15 14 13 13 13 13 14 14 14 13 12 12 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 14 14 14 14 14 15 15 14 14 14 14 14 15 15 16 16 16 17 nan
nan 11 11 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 10 10 10 10 9 8 8 8 9 10 11 12 13 13 13 12 11 9 8 8 9 11 12 13 12 12 12 12 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 4 2 0 -0 1 4 8 10 11 10 9 8 8 7 6 5 4 3 4 5 5 4 1 -0 2 7 13 18 18 15 13 12 12 12 13 14 14 14 13 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 13 nan
nan 11 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 9 7 6 7 7 8 9 12 14 16 17 17 16 14 12 11 10 10 10 10 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 5 4 2 1 -1 -1 1 4 8 11 12 13 15 15 13 12 11 8 6 5 5 6 6 4 2 -1 1 7 14 21 22 18 14 11 11 11 12 13 13 14 14 13 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 14 13 13 12 11 11 11 11 10 10 11 11 11 11 11 12 11 11 11 11 11 11 nan
nan 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 10 10 11 12 11 9 7 6 5 5 6 7 9 11 13 15 17 18 17 17 16 14 11 9 6 5 6 7 7 8 8 8 8 9 9 8 9 9 9 8 8 8 9 8 7 6 4 2 1 1 0 1 2 5 8 10 11 12 14 16 17 17 16 15 13 12 12 12 12 11 8 5 4 9 15 21 25 22 17 13 11 10 11 12 13 13 13 13 13 13 12 11 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 12 12 12 13 13 13 13 13 12 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 11 11 nan
nan 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 10 9 7 6 5 5 5 6 7 7 8 10 13 16 17 18 15 12 9 6 4 4 4 5 6 6 7 8 8 9 9 8 8 8 7 7 8 9 9 9 8 7 6 5 5 5 6 7 8 9 10 11 12 14 15 16 17 17 17 16 16 16 16 15 13 12 10 11 15 20 23 22 18 14 11 10 11 11 12 12 12 13 13 14 14 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 11 12 12 12 13 13 12 12 12 12 12 13 13 13 13 12 11 11 11 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 9 10 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 9 8 6 6 5 5 4 4 3 4 7 10 13 14 12 10 8 6 5 4 4 4 5 6 7 7 8 9 9 9 8 7 5 5 6 8 10 12 12 12 12 11 10 9 8 8 9 9 10 11 13 14 15 15 16 16 16 16 16 15 15 14 13 12 13 15 18 20 20 17 14 12 10 10 11 11 11 11 11 12 13 14 14 14 14 13 12 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 nan
nan 10 10 10 11 11 12 13 12 12 11 10 10 10 11 11 11 11 11 10 10 11 11 12 12 12 12 10 9 8 7 6 4 3 2 3 4 6 8 8 8 7 6 5 5 5 5 5 5 6 7 7 9 10 10 10 9 7 5 4 4 6 8 11 13 13 12 11 9 7 7 8 8 9 10 12 13 14 14 15 15 15 15 15 15 15 14 13 12 12 14 16 20 22 20 16 13 11 10 10 11 11 11 11 11 11 12 13 13 14 14 14 13 12 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 11 10 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 11 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 14 14 14 13 12 10 7 5 5 5 5 6 6 7 6 6 6 6 5 5 5 5 5 6 6 7 8 9 10 10 10 10 9 8 7 6 5 5 6 7 7 6 4 4 5 6 8 9 10 11 12 13 14 14 15 15 15 15 15 15 15 14 13 13 13 15 19 23 24 21 17 13 11 10 11 11 11 11 11 11 11 11 12 12 13 14 14 13 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 12 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 11 11 11 11 12 13 12 12 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 12 14 16 17 17 16 14 11 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 10 10 11 11 12 12 11 8 4 2 1 -0 -0 0 2 6 8 9 9 10 11 12 13 14 14 15 15 15 15 16 16 17 16 15 14 15 18 22 24 23 20 16 13 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 11 11 10 10 10 11 12 12 12 12 12 12 12 13 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 10 11 11 12 13 12 12 11 11 10 10 11 11 11 11 11 11 10 10 9 9 9 10 11 13 15 17 17 17 16 14 13 13 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 13 14 15 15 13 10 6 3 2 3 5 8 10 10 9 9 10 11 12 13 14 14 15 15 15 15 17 19 19 17 16 14 16 20 22 22 20 16 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 10 10 12 12 12 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 nan
nan 10 10 11 12 12 12 12 11 11 10 10 10 11 11 12 11 11 10 10 10 9 10 10 11 12 13 14 15 15 14 14 15 15 14 13 12 11 10 10 9 10 10 12 13 13 14 13 12 12 11 11 11 11 11 12 13 14 15 17 18 17 16 14 12 11 11 12 13 12 11 9 9 9 10 12 13 14 14 14 15 15 17 19 21 20 17 14 13 15 18 19 18 16 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 13 12 12 11 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 10 9 9 9 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 nan
nan 9 10 11 11 11 12 12 12 11 10 10 9 10 10 11 11 11 10 10 10 10 10 11 11 12 12 13 13 12 13 14 14 15 15 14 13 13 12 11 11 11 12 14 15 16 17 17 16 15 14 14 13 13 13 14 15 16 17 17 17 17 17 16 16 16 15 15 14 12 10 8 8 9 10 11 13 14 14 14 15 17 19 21 21 19 15 12 12 14 16 16 15 13 12 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 11 11 11 10 10 10 10 11 11 12 13 13 13 13 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 nan
nan 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 14 14 13 13 12 12 12 12 13 13 14 15 15 16 17 16 16 15 14 14 13 13 14 15 15 16 15 14 13 13 14 15 16 16 15 13 11 9 8 8 8 9 11 12 13 14 15 17 19 22 23 22 18 14 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 13 12 12 12 12 11 10 10 11 11 12 12 13 13 13 12 12 12 12 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 nan
nan 10 9 9 9 11 12 12 11 11 11 11 11 11 10 10 10 10 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 12 12 12 12 12 12 13 12 12 11 10 11 12 12 10 9 8 9 12 14 15 15 14 12 10 8 8 7 8 9 10 11 13 14 16 19 22 23 23 21 17 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 13 13 14 14 13 13 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 7 7 7 nan
nan 10 9 8 8 9 11 11 11 11 10 11 11 11 11 10 10 9 9 10 11 12 13 13 13 13 13 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 8 9 9 9 7 6 6 9 12 14 15 14 12 10 9 8 7 7 8 9 10 11 12 14 17 21 23 23 21 16 13 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 7 7 nan
nan 11 10 8 8 8 9 10 10 10 10 10 11 11 10 10 9 9 10 11 12 12 13 13 13 13 13 12 12 12 12 11 11 10 10 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 12 10 8 8 11 13 14 14 13 11 10 9 8 7 7 8 8 9 10 12 15 19 22 23 21 17 13 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 nan
nan 11 10 9 9 9 9 9 9 9 10 11 11 11 11 10 9 9 9 10 11 11 12 12 12 12 13 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 10 10 10 9 10 12 14 15 13 11 10 11 13 13 12 11 9 9 9 8 8 8 8 9 9 10 12 15 19 20 20 17 13 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 nan
nan 10 10 10 10 9 9 9 8 9 10 11 12 12 11 10 9 9 9 10 10 11 12 12 12 12 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 11 11 11 12 14 15 14 12 10 9 11 13 12 11 9 8 8 8 8 8 8 9 9 9 10 12 15 17 18 16 14 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 nan
nan 10 9 9 9 9 9 8 9 9 10 11 12 12 12 11 10 9 9 10 11 12 14 14 14 14 13 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 11 11 12 12 13 14 12 9 8 9 11 12 11 9 8 6 6 6 7 8 8 9 9 10 11 12 14 16 15 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 9 nan
nan 9 8 8 7 7 8 9 10 10 10 11 12 13 13 11 10 9 8 9 11 13 15 15 14 14 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 10 12 12 10 9 7 6 6 6 7 8 8 8 9 11 12 13 13 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 14 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 7 7 7 7 7 7 7 8 8 8 9 9 nan
nan 8 6 6 5 5 7 9 11 11 11 11 12 13 13 12 11 9 8 9 11 13 14 14 14 14 13 13 13 13 12 11 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 10 11 11 10 9 8 7 7 8 8 8 8 8 9 10 11 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 11 11 12 12 12 12 12 12 13 13 14 14 14 13 13 12 12 12 12 13 13 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 10 10 11 11 11 11 11 11 10 10 9 9 8 7 7 7 7 7 7 7 8 9 9 10 10 nan
nan 6 4 4 3 4 6 8 9 9 10 10 11 12 13 12 12 11 10 10 11 13 14 14 14 14 14 14 14 14 14 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 13 13 13 13 13 12 12 12 12 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 13 13 12 11 11 10 10 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 8 8 9 10 10 11 11 nan
nan 5 4 3 3 4 6 8 8 8 8 9 10 11 12 12 11 11 11 12 12 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 9 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 11 11 11 11 12 12 12 11 11 11 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 12 12 13 14 14 14 13 11 10 10 11 11 12 12 12 11 11 10 10 10 9 9 9 8 8 9 9 9 10 10 11 11 nan
nan 8 7 6 5 6 8 10 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 13 13 13 14 14 15 15 15 15 15 15 15 14 13 13 12 12 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 11 12 12 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 13 15 16 16 15 13 12 11 12 13 13 13 12 12 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 nan
nan 12 11 10 8 8 10 12 14 16 15 13 12 11 11 11 11 11 11 11 12 12 13 12 12 12 12 12 11 11 11 11 11 11 11 12 13 14 14 15 15 16 16 15 15 14 14 13 13 13 12 12 11 10 9 9 8 8 9 9 9 10 10 9 7 6 7 7 9 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 11 11 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 12 12 14 15 17 17 17 16 15 15 16 16 15 14 14 13 12 12 12 12 12 12 12 11 10 10 9 10 10 11 11 12 nan
nan 14 14 13 11 10 10 12 13 15 15 14 13 13 12 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 13 13 14 14 14 14 14 14 14 14 14 14 13 12 11 10 10 9 9 9 9 9 10 10 9 7 6 6 6 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 12 13 14 15 17 18 19 18 18 18 18 17 16 15 14 13 13 13 13 13 13 13 12 12 11 10 10 10 11 11 12 13 nan
nan 15 15 14 12 11 10 10 11 12 13 14 14 14 13 12 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 13 13 13 14 15 15 15 14 12 11 10 9 9 9 9 10 9 8 7 6 6 7 9 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 12 13 14 15 16 18 18 18 18 18 17 15 14 13 13 13 13 13 13 13 13 13 12 12 12 11 11 12 12 13 14 14 nan
nan 15 14 13 12 12 11 11 12 13 14 14 14 14 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 12 13 15 16 17 16 14 12 11 10 9 8 8 8 7 6 5 6 7 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 11 11 12 12 13 14 15 16 16 16 15 15 14 13 12 12 11 11 11 11 12 12 12 13 13 12 12 12 12 13 13 14 15 16 16 nan
nan 14 13 12 12 12 12 13 14 15 15 14 13 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 13 15 16 17 17 15 14 13 11 10 8 7 6 5 5 6 7 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 14 14 14 14 14 13 12 11 11 11 10 10 10 11 11 12 12 12 12 12 12 13 13 14 15 16 16 16 16 nan
nan 14 12 12 11 11 12 13 14 14 14 13 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 13 14 14 15 16 17 17 16 16 14 13 11 9 7 6 5 5 7 8 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 12 12 13 13 13 13 14 14 14 13 13 12 12 11 11 11 11 12 12 12 12 11 11 11 11 12 13 14 14 15 15 14 13 nan
nan 12 12 11 11 10 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 12 13 13 14 14 15 16 17 17 17 16 14 13 11 9 7 7 7 8 9 10 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 11 10 10 10 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 11 11 10 10 11 12 12 13 13 13 13 12 12 nan
nan 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 10 10 9 9 9 10 11 11 12 12 14 16 17 18 18 17 16 15 14 12 11 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 12 13 13 13 13 14 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 13 13 12 12 12 12 nan
nan 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 11 11 11 12 12 12 12 11 10 9 9 10 10 10 10 10 12 14 16 17 17 17 17 17 16 15 15 14 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 12 12 11 11 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 12 12 12 12 13 13 13 13 12 12 12 nan
nan 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 11 12 13 14 15 16 16 16 16 16 15 15 13 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 12 12 13 12 12 12 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 12 12 12 nan
nan 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 14 14 13 13 12 12 12 11 11 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 10 11 11 11 12 12 13 12 12 11 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 nan
nan 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 12 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 13 13 13 13 13 12 11 11 10 10 11 11 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 nan
nan 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 11 12 12 13 14 13 12 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 13 13 13 13 13 12 11 10 10 10 10 11 11 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 8 7 8 9 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 13 12 12 11 11 10 10 nan
nan 11 12 12 12 12 12 12 12 12 11 10 10 11 11 11 11 11 12 12 12 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 13 13 13 13 13 12 12 11 10 10 10 10 11 11 12 12 13 13 13 12 12 12 12 11 11 11 11 12 12 11 11 11 10 10 9 10 10 11 11 11 11 10 9 7 7 8 9 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 13 13 13 12 12 11 10 10 nan
nan 12 12 12 12 12 12 12 12 12 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 11 10 10 10 10 10 10 11 12 13 13 14 13 13 12 12 11 11 11 11 12 12 12 11 11 11 10 9 9 9 10 11 12 12 12 11 9 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 13 13 13 12 12 11 nan
nan 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 11 11 10 10 10 10 10 10 10 11 12 14 14 14 13 12 11 11 11 11 11 12 12 11 11 11 10 9 9 9 10 11 12 12 13 12 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 12 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 13 13 13 13 12 nan
nan 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 12 13 15 15 14 12 11 11 11 11 11 11 11 11 11 11 10 9 8 8 10 11 12 13 13 13 13 12 12 11 10 9 9 10 10 10 11 10 10 10 10 10 11 12 13 13 13 12 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 12 12 12 13 13 13 nan
nan 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 9 9 9 9 10 11 14 15 16 15 13 11 11 10 11 11 11 11 11 11 11 9 8 7 7 8 10 11 11 12 12 12 13 12 11 10 10 10 10 11 11 11 11 10 10 10 10 11 12 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 12 12 13 13 nan
nan 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 12 12 13 13 13 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 8 8 9 9 9 10 11 14 16 16 15 13 11 10 10 10 11 11 11 11 11 10 8 6 4 5 6 7 8 10 11 12 13 13 12 11 10 10 10 11 12 12 12 12 11 10 10 10 11 12 13 13 13 13 12 11 11 11 11 11 10 10 11 11 11 11 11 10 10 9 10 11 11 12 12 12 12 nan
nan 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 10 13 15 15 14 13 11 10 10 10 10 10 11 11 10 8 6 3 2 3 4 6 9 11 13 15 16 15 13 12 10 10 10 11 13 13 13 12 11 10 10 11 12 13 13 13 13 12 11 11 11 11 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 12 11 11 11 nan
nan 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 8 8 7 7 9 12 13 14 13 12 11 10 10 9 9 9 9 9 9 6 3 1 1 3 6 9 12 14 16 18 17 15 13 10 9 10 12 13 14 14 13 12 11 10 11 11 12 12 13 13 13 12 12 12 11 10 10 10 10 11 11 12 12 12 13 13 13 13 12 11 10 10 10 10 10 nan
nan 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 12 12 12 11 11 11 11 10 10 10 10 10 8 7 7 8 10 11 12 12 12 11 10 10 9 9 9 9 9 8 5 2 2 3 6 10 13 15 16 17 18 16 12 9 8 10 13 15 15 14 13 12 11 11 11 11 12 12 12 12 13 13 13 13 12 11 11 11 11 12 12 12 12 12 13 14 15 15 15 13 11 11 10 10 10 10 nan
nan 12 12 12 12 12 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 11 11 10 9 9 8 9 9 10 11 11 11 11 11 10 10 10 10 10 9 8 5 4 5 7 10 13 14 15 16 17 17 13 10 8 9 14 17 18 16 14 12 11 11 12 11 11 11 11 12 13 14 14 14 13 12 11 11 12 13 14 14 13 12 12 13 15 17 17 16 13 12 12 12 11 11 11 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 11 12 12 12 12 12 12 11 11 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 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 10 10 9 9 10 11 11 11 10 9 9 10 10 10 9 10 11 11 11 11 10 10 10 10 9 8 7 6 7 9 11 13 14 14 15 17 18 16 13 11 11 14 17 18 17 14 12 11 11 11 11 10 11 11 11 13 14 14 15 14 13 11 11 12 12 13 13 13 13 12 12 13 15 17 17 16 14 13 13 13 12 12 12 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 10 9 9 9 10 11 11 11 9 9 9 10 11 11 10 10 11 11 11 11 10 9 8 7 7 6 7 8 10 12 13 14 14 15 16 18 18 16 14 13 14 16 17 16 15 13 12 12 12 11 10 10 10 11 12 13 14 15 15 14 13 12 12 12 12 12 12 12 11 11 11 12 14 16 17 16 15 14 13 13 12 12 12 nan
nan 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 9 8 8 8 10 11 12 11 10 9 9 10 11 12 12 11 11 12 11 10 8 6 5 5 6 7 9 12 14 14 14 14 14 15 16 16 16 14 13 13 15 15 16 16 16 16 16 14 13 11 10 10 10 11 12 13 14 14 14 14 13 12 12 12 12 11 11 11 11 10 10 11 13 15 16 16 15 14 13 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 27 30 30 28 26 24 24 26 27 26 22 22 25 28 32 36 44 46 44 39 32 27 32 31 31 33 36 37 40 42 45 41 32 27 23 23 23 22 18 15 13 12 13 18 21 23 24 26 30 34 33 36 40 44 46 43 42 43 44 44 42 38 36 33 30 27 23 19 17 17 15 12 11 11 11 12 12 12 11 13 17 22 28 36 45 50 49 48 48 48 46 40 31 22 13 5 2 1 1 2 3 5 8 11 15 19 25 31 35 38 42 47 46 50 55 55 44 38 43 49 52 54 57 62 63 63 63 64 64 61 63 67 65 70
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 27 32 33 30 26 21 18 20 23 25 22 21 23 27 29 28 30 35 36 35 33 29 26 30 31 32 34 32 28 25 17 9 3 5 7 5 4 2 2 3 3 2 1 1 3 5 7 12 17 21 22 20 19 20 22 22 21 22 23 25 28 31 25 22 20 19 17 14 11 8 7 6 5 5 6 6 7 8 9 10 14 18 23 30 39 46 47 44 40 38 35 32 30 26 18 11 4 1 1 1 0 1 2 3 5 8 10 14 20 24 28 31 38 40 40 38 33 29 31 36 40 41 41 44 54 61 63 66 71 74 76 78 77 73 72
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 1 2 4 8 13 18 24 31 37 40 38 33 26 15 17 19 20 22 24 25 27 30 29 25 24 26 27 29 28 25 22 20 17 13 8 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 7 5 4 4 4 6 9 12 17 21 23 19 18 16 14 12 10 8 7 7 7 5 3 1 3 6 8 8 12 17 21 25 30 35 37 36 33 28 24 20 19 20 20 10 4 1 0 0 0 0 0 0 1 2 7 4 6 10 15 20 24 29 30 30 29 27 23 25 28 30 32 38 59 67 67 70 81 97 105 107 106 104 98 90
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 16 21 26 30 36 38 35 30 25 22 11 10 13 17 24 27 27 29 30 29 27 25 24 23 20 15 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 14 18 16 12 10 8 8 7 6 5 5 5 4 2 2 2 3 5 6 8 12 16 20 21 23 24 24 24 23 19 16 13 12 11 9 4 1 0 0 0 0 0 0 0 0 0 3 2 2 4 8 12 16 18 19 19 20 20 21 21 21 21 22 26 35 46 59 75 94 114 127 129 116 111 109 105
1 1 2 2 2 2 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 1 1 1 3 5 7 9 12 17 22 26 27 26 29 30 28 26 24 21 14 12 17 24 29 25 28 29 29 28 26 23 18 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 2 10 20 10 5 2 1 1 1 1 1 2 2 2 0 1 2 3 4 5 5 6 9 12 12 12 13 11 10 11 12 10 8 6 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 8 10 12 14 18 19 20 21 22 21 20 24 34 49 72 90 109 127 140 116 112 112 113
2 4 6 7 6 4 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 2 2 1 0 0 1 2 3 4 7 9 12 16 23 29 32 29 21 15 15 19 22 23 21 20 18 18 21 25 30 34 35 33 29 25 21 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 3 1 0 0 0 0 0 0 0 0 0 2 3 3 3 3 5 5 6 7 7 8 10 10 7 4 3 3 5 4 2 3 6 10 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 11 15 18 18 17 22 20 20 22 28 36 42 59 80 101 118 137 133 130 130 126
3 5 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 9 9 7 5 3 1 1 2 4 6 9 12 15 19 26 33 34 30 23 15 8 7 8 12 16 13 15 20 26 31 35 42 44 41 35 26 16 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 2 3 3 3 4 4 4 4 3 3 2 2 4 5 4 2 4 8 9 8 10 15 18 17 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 12 15 17 17 15 18 20 23 27 28 26 27 43 70 100 116 131 137 137 134 129
4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 17 21 20 18 15 9 5 3 2 5 9 12 15 19 22 26 31 33 32 26 19 12 7 7 8 6 8 14 18 21 29 38 44 46 52 48 37 26 16 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 1 2 2 1 1 1 1 0 0 1 3 9 16 14 15 17 18 18 18 21 21 20 17 10 4 1 0 0 0 0 0 0 0 0 0 0 1 2 6 16 14 11 11 15 17 14 15 19 26 30 27 21 20 32 58 84 88 99 110 112 109 117
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 19 22 19 15 11 8 7 7 9 13 18 24 31 37 39 37 32 28 22 16 13 11 12 16 13 12 14 18 23 30 41 48 49 45 39 29 17 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 1 1 2 2 1 0 0 1 2 1 3 10 24 47 37 27 23 22 20 17 15 15 14 12 7 2 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 9 15 16 14 12 14 21 23 22 19 18 23 40 54 62 65 65 65 81 106
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 11 11 13 11 9 9 10 13 17 22 28 36 42 47 51 51 44 32 24 19 19 23 28 30 37 33 27 24 25 30 36 41 42 39 31 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 1 2 1 1 2 3 3 4 5 6 8 8 8 7 6 6 6 6 9 14 25 47 36 21 12 10 8 6 6 6 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 13 13 11 9 13 17 17 17 20 28 40 47 54 57 57 64 91 121
0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 3 2 0 0 0 0 1 3 4 5 7 7 10 12 13 16 22 28 35 42 48 53 54 55 58 59 52 38 33 37 41 47 54 57 54 46 38 34 32 31 30 28 25 19 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 3 5 8 12 15 17 18 18 16 13 10 8 7 6 4 2 1 11 11 6 3 1 1 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 8 10 10 8 4 8 13 13 13 21 29 33 36 40 45 47 70 108 147
0 0 1 1 1 0 0 0 0 0 0 0 0 2 3 5 6 3 1 0 1 2 4 3 4 7 8 12 20 26 28 31 40 49 53 54 54 55 56 64 69 73 75 74 73 69 65 63 61 58 55 50 44 38 34 29 22 15 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 1 3 3 4 4 4 4 4 4 5 7 10 14 17 20 24 25 23 19 15 10 7 4 3 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 2 5 6 5 5 7 9 9 7 6 8 9 8 12 17 21 26 33 47 59 75 112 161
0 1 3 4 4 3 2 2 2 2 1 0 1 4 7 8 9 7 5 3 4 7 10 8 11 17 23 31 39 46 50 52 54 56 54 55 60 67 68 77 80 81 81 78 70 62 61 62 63 60 56 51 43 34 26 18 11 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 10 9 8 6 5 4 4 6 9 18 20 19 21 25 20 14 10 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 1 4 4 5 4 3 3 3 5 4 4 7 6 8 14 20 28 44 67 86 105 133 163
2 3 6 8 8 6 7 7 7 5 3 3 4 6 7 7 9 8 8 11 16 22 28 29 33 37 42 49 56 58 58 55 52 51 53 61 74 86 91 90 83 72 60 50 45 48 54 61 64 62 57 50 37 22 12 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 0 0 0 0 0 0 1 6 8 10 12 13 9 7 5 3 2 4 4 6 6 5 10 12 9 6 5 3 2 1 1 0 1 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 1 2 1 2 2 1 2 4 3 2 3 8 14 19 27 40 57 77 91 106 125 139 140
2 3 5 6 7 8 9 11 10 9 8 10 12 12 9 5 6 7 12 23 36 45 49 48 47 48 51 55 56 57 57 55 55 60 67 79 91 97 99 85 68 55 48 49 56 62 66 68 65 55 42 29 17 7 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 10 11 9 7 5 3 2 0 1 2 2 2 11 10 9 8 8 6 5 7 9 6 4 4 5 3 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 2 2 4 8 17 30 40 51 68 84 90 98 109 121 124 124
2 1 2 3 5 7 7 7 9 12 14 17 21 20 17 12 12 18 27 37 45 46 46 46 46 48 52 54 48 46 46 48 55 65 73 78 77 66 57 49 45 48 59 74 88 91 83 67 51 33 17 8 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 7 6 6 5 3 3 3 4 6 4 23 25 20 13 8 7 7 9 10 7 7 7 6 5 2 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 6 10 17 28 44 61 73 77 80 80 79 81 87 88 79
4 2 1 1 2 4 4 6 9 12 14 20 24 24 23 23 26 32 37 41 42 37 35 40 47 50 47 43 36 33 34 40 48 56 58 54 46 37 29 30 44 70 102 119 117 99 70 39 20 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 14 13 11 11 16 30 25 37 39 33 26 18 10 9 10 9 7 10 9 7 6 4 2 1 2 3 4 3 2 2 1 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 9 13 21 29 37 40 37 33 30 25 22 24 27 30 26
3 1 2 4 4 4 5 8 10 14 20 22 23 23 22 24 31 36 37 38 37 33 31 32 35 36 33 28 25 24 25 27 26 30 30 29 29 30 37 57 91 125 140 127 95 58 25 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 11 23 34 36 33 28 28 42 72 73 73 66 51 40 30 17 10 10 11 10 9 8 7 6 6 4 3 4 5 4 3 2 2 2 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 9 10 10 10 13 14 14 13 10 8 6 4 4 3 2 3 3
1 1 3 5 5 5 6 8 13 18 20 20 19 18 17 20 33 33 31 30 29 27 23 18 15 15 16 20 22 23 23 24 21 22 22 27 41 69 108 144 159 149 120 82 46 18 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 2 7 13 20 27 38 48 55 55 53 47 48 64 79 84 85 77 57 48 41 35 30 25 19 16 13 11 9 8 8 6 4 3 3 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 1 0 0 1 1 1 1 3 6 10 12 11 7 5 4 4 6 5 6 7 6 5 3 2 1 1 0
0 0 1 2 4 4 3 4 8 13 14 13 12 11 9 12 30 27 22 18 18 18 16 13 12 13 17 19 20 18 16 14 10 10 26 59 105 150 169 164 138 97 57 30 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 22 40 38 40 42 45 48 52 57 65 73 79 82 84 81 77 75 62 56 52 49 46 39 33 27 22 18 15 13 11 9 6 5 5 7 8 8 8 7 6 6 7 7 4 2 1 0 0 0 0 0 0 0 0 1 2 3 3 3 4 5 5 5 5 3 2 1 1 5 8 9 9 7 7 5 4 3 2 0
1 0 1 1 1 0 0 0 3 6 6 6 5 4 4 7 14 16 16 15 15 17 15 15 16 16 15 14 12 12 10 8 10 28 74 133 179 185 154 112 68 32 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 2 17 42 63 45 41 41 43 47 53 64 77 91 103 111 115 110 102 101 87 79 72 67 63 55 49 44 40 36 31 26 20 16 12 10 10 11 12 12 12 11 10 9 10 8 6 5 4 2 1 0 0 0 1 1 1 2 2 3 3 4 4 4 3 2 1 1 2 3 4 8 11 12 11 10 10 10 9 6 1 0
3 0 0 0 2 3 1 1 4 7 9 7 6 4 4 7 14 21 23 21 16 14 14 16 17 19 19 17 15 14 16 22 45 93 151 188 177 136 87 47 20 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 4 16 33 53 44 40 39 38 36 53 71 88 102 114 125 136 140 135 134 132 127 117 105 92 81 72 66 63 60 56 49 42 36 32 31 28 26 23 18 18 16 14 15 15 11 10 9 8 5 3 2 2 1 1 1 1 1 2 1 2 3 4 3 4 2 1 2 4 7 11 14 16 17 17 17 18 18 17 15 8 3
1 1 2 3 4 6 4 3 5 9 11 5 5 3 3 7 13 16 15 12 9 4 6 9 13 16 18 22 27 32 41 59 104 157 183 169 117 67 33 14 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 2 6 12 29 34 35 37 45 45 57 70 80 87 95 109 125 136 142 145 140 136 135 135 123 110 100 92 84 80 78 77 77 73 66 62 59 53 45 35 32 29 26 25 24 18 15 13 11 8 4 3 3 2 1 1 1 1 1 2 2 2 1 2 3 1 2 3 6 8 12 15 19 20 22 24 25 26 26 26 19 11
0 1 3 5 7 6 4 4 5 8 10 5 2 1 1 3 6 8 6 2 0 0 3 6 12 19 25 36 49 62 76 94 139 161 148 107 58 25 10 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 1 1 7 9 9 13 27 21 31 46 60 67 80 95 109 122 133 143 148 147 141 134 126 118 112 107 102 99 97 98 100 98 93 90 86 82 72 61 54 48 43 38 31 25 20 15 11 9 7 5 5 4 3 2 1 2 1 1 1 1 0 1 1 1 2 4 6 8 11 15 18 20 22 23 25 27 27 28 25 18
0 0 1 3 5 6 6 5 4 3 3 3 2 1 1 2 2 3 2 2 2 4 10 16 22 32 48 63 76 85 89 92 114 111 86 52 20 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 11 12 14 20 23 29 36 43 50 63 78 93 107 121 133 142 144 140 131 125 120 115 111 108 106 102 98 96 95 94 94 95 96 89 81 72 63 55 50 42 33 26 20 14 12 10 8 6 5 4 3 2 1 1 1 1 1 2 1 1 2 2 2 4 6 9 11 12 15 17 20 23 24 24 23 22 19
1 0 1 2 4 6 8 5 2 0 0 1 0 0 0 0 0 1 2 4 8 16 24 30 36 48 71 91 97 88 71 63 66 58 40 20 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 1 1 1 4 7 10 13 15 18 26 31 32 32 32 37 47 63 83 100 110 120 128 132 131 125 124 125 124 120 112 106 100 95 87 84 84 85 86 87 88 85 80 74 67 58 50 43 36 29 23 19 15 11 9 7 5 4 3 2 2 1 1 2 2 2 2 3 2 2 2 3 4 6 7 9 12 15 19 20 20 19 18 16
4 2 5 8 10 12 12 7 3 1 0 0 0 0 0 0 0 2 4 9 16 27 32 39 52 74 99 110 101 78 53 42 35 26 15 6 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 5 9 11 14 17 20 27 36 42 44 39 38 38 43 50 58 75 91 103 113 121 126 122 123 129 133 128 115 104 95 87 81 80 78 77 76 79 77 74 72 73 68 62 56 49 42 34 28 23 18 16 14 12 9 7 5 3 2 2 2 2 2 2 3 2 2 1 1 1 2 3 5 6 9 11 14 15 16 16 16 16
8 6 8 11 14 14 12 7 3 1 0 0 1 1 1 0 1 3 5 7 10 20 32 53 82 114 136 129 101 67 41 26 17 9 4 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 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 1 1 1 1 1 2 3 3 4 5 6 8 12 15 17 21 27 35 42 48 50 44 42 43 45 47 48 66 78 86 94 97 106 110 116 123 125 117 111 104 89 75 70 68 69 71 75 77 72 65 67 67 65 61 55 49 43 36 30 25 22 17 15 13 12 10 8 6 5 5 5 4 3 2 1 1 1 1 2 2 3 3 4 5 6 8 10 11 12 14 17 19
5 5 7 11 15 16 13 9 7 6 5 4 6 6 4 2 2 3 4 7 14 31 57 90 122 144 144 115 75 39 17 9 6 4 3 4 5 4 2 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 5 7 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 1 1 2 2 3 3 4 4 5 6 8 9 13 17 21 23 27 32 35 39 41 42 45 47 49 50 55 62 67 70 73 70 72 77 82 90 86 69 56 53 60 60 59 58 58 61 66 69 69 69 67 63 60 57 52 47 42 37 32 27 22 18 16 15 15 14 11 8 6 5 3 3 2 1 1 1 1 1 2 2 3 3 4 5 7 9 11 14 18 22 23 24
2 2 3 8 14 19 21 22 21 18 15 13 13 14 13 12 10 9 11 20 44 75 107 126 129 117 95 63 33 12 4 3 3 4 4 3 2 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 2 1 3 7 10 10 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 5 6 8 10 11 15 18 20 22 23 23 26 32 36 41 48 51 50 51 55 56 54 49 43 42 41 40 41 43 42 36 31 33 37 40 42 43 45 51 52 53 57 66 69 67 64 57 50 45 41 38 35 31 26 22 19 17 17 15 12 8 6 4 3 2 1 1 1 1 2 2 2 2 3 5 7 10 13 16 19 23 26 27 28 26
0 0 1 7 14 20 26 29 29 26 20 16 18 21 22 22 25 29 38 55 83 103 106 92 68 48 37 24 14 7 4 4 3 3 3 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 3 5 5 6 9 14 17 13 10 8 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 6 7 9 12 14 16 18 19 20 22 25 28 32 36 41 46 49 46 44 41 36 30 22 20 19 18 18 17 19 20 19 17 13 9 11 15 18 21 19 20 24 30 40 50 57 56 47 41 38 38 38 36 32 27 23 20 18 16 14 10 6 5 3 2 0 0 0 1 2 2 2 3 4 7 10 14 18 23 27 31 31 29 27 25 23
2 2 4 8 12 14 14 14 18 20 15 17 21 25 30 37 52 66 79 89 96 85 61 35 17 12 16 15 11 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 5 7 11 13 18 21 22 19 14 13 12 12 10 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 8 11 13 14 15 18 20 22 23 24 27 31 37 41 44 44 39 31 23 18 14 9 7 6 6 7 5 4 4 6 9 8 6 4 4 5 5 3 2 3 6 11 13 17 25 26 25 25 26 27 26 25 22 19 17 16 12 8 5 3 3 2 1 0 0 1 1 1 2 4 7 10 13 18 22 25 27 28 29 26 23 19 15 12
7 7 9 11 11 11 12 18 26 30 28 31 37 47 61 80 98 102 99 92 81 66 48 31 20 14 14 13 10 7 6 3 1 0 0 0 0 0 0 0 0 0 1 1 1 3 5 6 8 9 9 8 13 20 24 25 28 25 20 15 14 16 20 26 32 33 21 10 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 3 5 8 13 14 14 16 18 20 21 23 24 25 27 34 40 42 40 32 23 15 8 5 4 3 2 2 2 1 1 2 4 6 6 7 6 4 3 2 1 0 0 0 1 3 6 9 10 9 10 11 11 13 15 15 13 11 8 5 3 1 1 1 1 1 2 1 2 2 5 11 11 12 14 17 19 21 22 22 21 20 17 14 11 7 4
7 5 10 14 17 18 19 27 37 45 51 57 65 77 91 104 107 99 85 69 53 44 30 18 12 10 10 9 9 9 8 4 1 0 0 0 0 0 0 0 0 2 5 7 6 8 12 16 19 19 18 16 22 29 34 34 31 23 15 12 13 18 27 39 49 49 39 22 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 1 2 4 5 7 9 11 13 16 18 19 20 22 23 24 27 33 38 40 37 31 21 11 4 2 2 2 2 2 3 2 3 4 4 5 5 5 3 1 2 1 0 0 0 1 1 1 1 1 1 1 2 2 2 3 5 5 4 3 3 3 2 2 2 2 2 2 2 2 3 3 4 8 10 12 14 16 16 17 16 16 14 12 10 8 6 4 1
7 12 19 26 31 35 41 50 58 66 75 82 86 93 99 101 95 80 61 41 27 20 14 11 11 11 9 8 7 4 2 0 0 0 0 0 0 0 0 0 1 5 9 11 11 14 19 24 25 21 19 19 21 25 28 29 25 20 15 13 14 18 27 38 47 41 25 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 4 6 8 9 11 13 16 16 17 19 20 21 22 26 30 32 32 29 24 15 5 0 0 1 1 2 3 3 4 4 3 4 4 4 3 2 2 1 1 1 1 3 2 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 2 3 6 10 13 15 15 14 12 11 10 8 6 5 4 3 1 0
25 33 39 46 55 62 69 76 85 92 92 86 80 77 73 68 57 41 25 13 10 8 8 9 10 9 4 1 1 0 0 0 0 0 0 0 0 0 0 1 3 8 11 12 13 14 16 18 18 16 16 18 21 23 23 22 22 22 21 19 16 19 24 29 36 33 16 1 0 0 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 2 4 5 7 8 9 11 14 15 15 16 18 19 20 21 22 22 21 17 11 5 1 0 0 0 1 3 5 5 5 4 4 4 5 4 2 1 1 0 0 1 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 4 6 9 12 15 15 13 10 9 7 6 4 3 2 1 1 0 0
60 64 65 76 88 88 85 83 81 77 72 59 46 35 28 22 15 8 4 3 3 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 12 14 14 14 13 12 13 13 16 20 23 23 23 24 24 23 21 18 14 13 14 20 30 33 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 2 2 3 4 6 7 6 8 11 12 14 15 16 17 18 18 16 14 12 12 9 6 3 0 0 0 0 0 1 1 3 4 5 6 7 5 2 1 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 10 11 10 10 10 9 10 11 12 9 7 6 5 4 2 2 2 1 0 0 0 0
67 65 71 86 96 86 75 61 47 37 33 20 12 7 4 3 2 2 2 1 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 9 12 14 14 13 12 12 13 14 19 23 24 22 21 18 16 15 16 12 7 4 6 13 27 29 19 5 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 1 1 1 2 3 3 3 4 5 6 6 8 10 11 12 12 13 13 15 17 17 14 10 8 4 3 2 2 0 0 0 0 0 0 1 2 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 1 1 3 4 4 2 0 0 0 0 0 0 0 0 0 0 2 7 12 15 20 25 29 30 26 19 10 5 8 8 7 7 7 8 8 7 6 5 5 5 5 5 4
49 41 53 64 65 51 36 25 17 12 12 8 5 4 2 1 1 0 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 8 10 11 12 13 13 12 11 11 14 20 24 26 24 21 16 14 14 15 11 8 6 6 8 22 23 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 3 3 4 4 5 4 5 7 9 13 16 14 12 11 12 13 16 17 15 11 7 3 1 1 1 1 0 0 0 0 0 1 2 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 2 4 5 6 2 1 2 3 3 3 2 3 8 13 19 23 26 27 29 31 34 35 38 34 25 17 12 13 14 16 18 20 19 17 14 14 15 16 16 17 17 17
41 26 30 28 21 12 8 7 6 5 5 4 2 1 1 0 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 9 11 10 9 8 9 12 14 14 13 13 15 19 22 23 22 17 12 10 11 12 11 10 10 11 12 21 21 14 5 1 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 4 3 3 3 4 4 4 3 4 6 9 14 21 15 12 13 14 15 20 21 15 12 10 8 7 6 3 1 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 2 3 4 7 8 5 6 7 8 11 15 17 19 23 29 34 34 34 33 33 35 36 38 39 39 38 35 31 29 28 27 26 26 25 23 20 17 17 19 22 23 23 22 22 23
55 46 37 23 9 2 1 2 2 1 1 0 0 1 2 3 3 4 5 6 4 1 0 0 0 0 0 0 0 0 0 1 2 3 7 10 13 16 16 14 11 8 8 10 16 18 17 16 17 17 18 19 19 17 14 10 8 8 9 10 9 11 17 19 20 18 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 3 1 1 1 1 2 1 2 3 5 7 10 15 14 14 17 21 22 24 25 23 20 18 15 12 8 4 1 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 4 10 16 22 29 37 39 42 45 47 40 39 40 40 40 38 38 39 40 39 37 37 39 42 39 35 31 27 23 18 15 16 17 19 20 20 20 19 17 17
47 40 27 16 7 3 1 0 0 0 0 0 1 3 5 6 4 2 1 1 0 0 0 0 0 0 0 0 0 1 2 3 5 8 13 15 16 17 16 14 13 11 11 13 18 21 22 21 19 17 18 19 20 18 15 12 9 7 7 9 8 9 16 15 13 11 8 4 1 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 1 0 0 0 1 3 3 3 4 5 6 7 11 16 21 28 38 42 42 40 35 24 16 11 7 4 2 1 0 0 0 0 0 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 4 8 15 22 32 46 57 58 53 48 47 42 42 43 42 40 37 37 37 37 37 41 41 37 33 31 28 26 23 20 17 16 16 15 15 14 13 12 12 11 10
24 20 13 7 3 1 0 0 0 0 0 1 2 3 3 3 2 1 0 0 0 0 1 1 1 1 1 1 2 3 5 7 9 12 15 16 15 14 14 15 17 17 17 18 20 22 22 20 18 18 20 22 24 22 18 14 10 7 5 6 6 6 8 6 6 5 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 2 2 1 1 0 0 0 1 2 4 4 4 4 5 6 10 15 22 30 43 50 52 52 49 39 23 12 6 3 3 3 2 1 0 0 0 0 1 2 4 5 5 3 3 3 1 0 0 1 0 0 0 0 0 0 1 3 7 17 31 47 59 58 49 40 42 45 46 45 42 41 39 37 35 33 28 26 24 21 19 22 23 24 23 21 20 18 16 14 11 10 8 8 7 7 7 7
13 13 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 6 9 10 11 12 12 12 13 13 13 15 17 17 16 16 20 21 21 21 20 20 22 24 24 21 15 9 5 3 3 3 3 3 3 3 3 3 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 2 1 1 0 0 0 0 1 3 3 3 4 5 6 10 17 24 29 34 45 50 52 51 45 31 19 12 8 8 7 5 3 2 0 0 0 0 0 3 7 11 12 10 8 6 3 0 1 1 0 0 0 0 0 1 2 6 16 32 50 60 57 47 41 44 46 47 45 42 40 39 38 36 32 24 18 16 15 15 18 22 24 24 24 22 22 21 18 15 12 10 8 8 7 8 8 8
11 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 10 11 9 8 8 9 9 9 11 12 10 13 15 16 17 20 22 24 24 23 21 21 21 19 14 10 7 4 2 1 1 1 1 1 1 1 1 1 2 3 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 1 0 0 0 1 1 1 2 3 5 8 12 19 26 31 36 42 46 49 49 46 36 25 18 16 19 20 19 16 11 4 1 0 0 0 0 3 7 12 16 14 12 9 5 1 0 0 0 0 0 2 6 13 22 35 48 58 62 57 52 47 46 48 44 38 34 33 35 37 38 36 30 22 18 16 18 20 24 25 26 26 26 26 25 24 21 19 16 14 13 11 10 10 10 10
8 4 1 0 0 0 0 1 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 2 5 8 11 13 14 14 8 5 5 5 5 5 5 7 12 15 18 20 22 24 25 25 23 22 20 17 13 8 2 1 1 1 0 0 0 0 0 0 0 0 1 4 5 5 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 1 3 3 2 2 2 1 1 1 0 0 0 1 1 2 2 4 8 13 19 27 33 37 38 39 41 44 44 39 28 21 19 24 35 37 36 32 22 6 2 0 0 0 0 2 5 10 15 15 12 7 4 1 0 0 0 0 5 19 39 60 65 64 62 59 53 50 49 48 42 34 26 23 23 27 32 37 39 38 31 24 20 18 18 20 23 25 26 25 26 27 26 25 24 22 20 19 17 15 13 11 11 11
2 0 0 0 0 2 4 7 9 12 15 12 7 3 0 0 1 1 2 3 4 4 4 7 10 12 14 15 15 12 5 2 3 4 5 4 4 7 13 18 20 22 23 25 26 25 23 20 15 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 4 4 5 5 4 1 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 1 2 3 6 10 14 20 30 36 39 39 40 42 42 38 30 23 21 24 33 38 38 38 37 31 14 5 1 0 0 0 1 3 6 8 6 3 0 1 0 0 0 0 5 23 47 72 84 79 68 58 54 53 52 49 41 31 23 18 17 18 22 27 34 40 39 31 22 16 14 17 20 22 24 23 21 21 22 22 23 23 23 22 21 19 17 15 13 13 12
0 1 3 5 8 11 15 18 19 20 20 15 9 4 2 1 3 6 12 24 46 25 9 9 11 13 14 15 16 12 7 3 2 4 7 10 12 13 16 19 20 20 21 23 23 20 16 14 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 4 6 6 3 1 0 0 0 0 0 0 1 2 1 1 1 1 0 0 0 0 0 0 0 0 1 3 5 8 12 17 20 26 31 34 35 34 35 34 30 25 24 28 36 49 41 35 34 37 25 15 8 3 0 0 0 0 1 1 1 1 1 0 0 0 0 1 5 24 48 69 80 76 69 63 59 58 55 49 40 30 24 20 18 17 16 18 22 30 39 38 30 20 13 14 16 18 19 19 17 15 15 16 17 19 20 21 21 20 19 18 17 15 14 13
2 5 9 14 19 26 35 26 19 17 15 10 7 5 4 5 16 37 60 72 91 57 23 9 6 7 9 13 17 16 14 12 10 7 11 14 16 17 18 19 19 19 19 20 18 14 9 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 3 4 4 3 2 1 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 1 3 5 8 12 17 20 24 27 28 28 29 30 30 27 27 33 42 51 60 55 49 46 48 29 16 8 4 1 0 1 2 3 1 1 0 0 0 1 2 6 15 34 55 69 72 75 74 72 69 64 56 46 35 26 24 22 20 18 16 15 16 20 29 37 36 30 21 15 14 15 16 16 15 13 12 12 14 17 19 20 20 20 19 19 17 16 15 14 13
15 19 21 21 25 34 38 27 19 17 16 10 6 3 3 9 62 120 156 143 138 116 83 43 5 3 8 13 18 18 17 16 16 18 16 15 14 13 12 13 14 14 14 14 12 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 1 2 3 3 2 2 1 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 11 13 14 15 17 18 23 27 29 30 30 37 46 54 60 69 73 70 59 50 35 22 12 6 5 4 4 4 2 3 3 1 0 2 10 20 31 45 56 62 63 66 71 73 72 66 53 41 33 27 24 23 22 21 19 17 15 16 19 27 34 37 36 31 23 17 13 13 14 13 12 11 13 16 18 19 19 18 17 16 16 14 13 12 12 12
37 40 33 26 25 33 34 26 17 11 12 7 3 1 0 2 5 17 54 135 136 104 58 14 3 4 11 18 20 19 16 14 14 15 13 11 9 9 8 7 6 6 6 8 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 1 1 2 2 1 1 0 0 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 10 8 9 11 14 18 24 27 30 31 34 43 51 53 59 65 68 66 58 49 40 31 23 17 15 14 13 9 7 7 5 3 3 16 37 59 70 72 70 68 66 65 63 59 54 47 37 31 27 24 21 21 22 23 23 20 18 17 18 23 29 36 41 39 31 21 12 11 11 10 9 8 11 14 16 17 17 16 15 14 13 11 9 9 8 9
21 23 25 26 27 30 24 17 14 15 19 8 3 1 1 3 10 21 40 76 68 46 24 10 8 15 18 19 17 15 12 9 9 8 7 6 6 6 3 2 1 1 1 4 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 7 8 10 13 18 23 28 32 35 35 45 58 63 61 65 70 71 64 58 53 47 37 30 27 27 27 23 19 14 9 3 6 26 50 65 67 65 62 58 53 47 42 39 38 34 30 27 25 22 23 25 27 28 26 23 19 17 17 20 25 30 36 40 38 30 14 11 9 7 6 6 9 12 15 18 18 17 15 14 12 10 8 7 7 9
11 14 22 26 26 25 19 15 12 9 8 6 5 3 4 6 13 16 14 12 12 11 12 15 15 18 20 19 15 14 11 8 7 7 6 5 4 3 1 0 0 0 0 2 2 1 1 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 6 6 7 9 10 15 21 29 38 38 39 45 55 62 65 73 79 76 72 67 64 61 55 53 54 53 49 46 37 26 14 5 9 22 37 44 47 44 40 38 33 29 27 27 28 27 26 25 25 26 28 30 32 31 28 24 21 20 21 21 23 28 35 42 46 42 25 15 9 6 6 9 13 16 18 21 21 20 19 17 14 11 10 9 8 9
18 25 25 22 19 18 19 19 17 14 17 13 9 6 7 10 15 16 14 13 13 12 13 16 18 21 22 21 18 16 12 9 8 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 1 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 1 1 2 4 5 5 5 6 8 14 23 33 42 39 38 42 50 63 73 78 77 72 69 64 60 61 63 68 74 80 75 67 57 45 29 16 14 17 23 27 27 25 25 24 22 20 20 20 22 25 28 30 31 30 30 29 28 27 25 23 23 24 26 28 30 35 42 50 56 56 44 32 21 13 17 23 30 36 36 33 28 24 22 20 17 14 11 9 8 8
24 31 27 20 16 14 17 18 19 19 18 14 11 11 12 13 14 15 15 15 15 14 13 16 17 19 21 23 19 16 13 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 3 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 1 2 3 4 4 3 3 3 8 15 23 33 39 37 34 37 49 65 74 75 69 64 64 63 60 59 60 63 68 73 72 69 64 57 40 27 20 18 19 21 21 21 19 17 15 15 15 18 23 29 32 33 31 29 26 23 20 19 20 22 25 30 35 39 42 47 53 61 69 72 68 63 56 50 51 54 56 58 49 41 34 30 26 24 21 17 13 11 10 9
27 30 25 19 14 11 14 15 16 18 20 20 20 19 16 16 16 16 17 17 18 15 13 14 14 14 16 20 16 15 13 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 3 2 1 0 1 1 1 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 1 1 1 1 2 2 2 2 2 4 7 12 18 26 25 24 27 36 52 65 70 69 62 61 63 65 64 62 62 64 65 67 67 67 66 60 44 31 23 19 17 15 14 13 12 11 11 13 17 23 30 36 38 36 30 24 19 18 18 18 20 25 31 39 45 50 54 56 59 65 73 80 83 82 77 74 74 72 66 59 49 39 33 30 25 22 19 17 15 13 12 11
31 30 24 19 14 11 14 14 15 16 18 21 24 24 18 18 17 16 16 15 18 16 14 13 12 11 11 14 15 14 13 10 7 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 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 2 4 5 8 13 14 14 16 23 36 50 59 63 63 58 59 60 61 62 63 67 71 69 67 65 66 67 59 47 35 25 18 14 11 9 7 7 8 10 14 21 29 38 45 45 41 35 29 24 26 28 30 33 38 43 47 50 53 56 58 60 62 65 66 68 69 67 64 61 58 53 48 40 31 23 20 18 17 16 15 14 13 13 12
31 26 20 17 16 15 16 15 13 12 13 15 19 23 25 24 22 20 19 16 16 17 17 16 13 12 13 14 14 13 12 11 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 4 2 2 1 0 0 0 0 0 0 1 1 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 1 1 1 1 2 2 4 7 9 10 14 22 35 47 55 58 59 54 52 53 56 62 68 71 72 69 64 61 61 64 59 51 41 32 23 16 10 7 5 5 7 11 17 25 35 45 50 50 47 45 43 42 43 44 44 44 44 45 48 52 56 58 59 58 56 54 52 51 50 49 47 46 45 44 41 35 26 19 15 13 12 12 12 13 13 14 14
30 25 18 17 17 16 15 13 12 12 13 13 17 21 22 21 24 27 28 27 23 19 17 19 15 15 16 16 16 17 17 14 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 2 1 1 1 1 1 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 1 1 0 1 2 4 7 10 13 18 24 37 50 58 58 62 58 52 47 49 52 57 61 65 66 62 56 53 54 52 50 45 38 28 19 12 8 9 11 14 18 23 31 39 46 51 52 53 54 55 56 56 54 51 48 46 45 47 52 53 53 52 50 48 46 45 43 42 41 41 40 39 39 37 31 23 16 12 10 9 10 11 11 11 13 15
31 29 20 18 19 19 18 17 17 18 18 17 17 17 17 17 18 22 31 34 28 21 17 21 21 22 23 23 23 21 18 15 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 1 0 0 0 0 0 0 1 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 12 16 22 30 43 57 65 60 55 47 40 38 42 50 58 65 70 70 63 53 44 39 36 35 35 30 25 20 16 14 17 23 29 32 34 36 40 45 49 52 55 58 61 62 61 58 55 51 48 45 44 45 45 45 43 42 42 45 48 49 48 46 43 39 36 32 27 23 19 16 13 12 11 11 11 11 9 11 14
32 32 27 26 27 27 26 27 29 31 28 29 28 25 19 19 19 22 30 32 29 28 27 18 26 32 33 29 27 24 20 17 14 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 1 2 2 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 1 3 7 12 18 26 37 49 57 57 47 38 32 30 34 44 53 62 69 72 70 62 50 39 30 24 21 19 17 17 16 15 18 27 41 54 45 39 37 38 42 46 49 52 57 59 61 60 60 58 53 47 43 40 39 38 38 39 43 48 54 60 63 62 58 53 49 47 43 40 34 29 25 24 24 23 22 21 21 17 15 14
24 27 26 26 25 23 23 25 33 42 44 45 44 43 43 38 35 34 32 30 32 30 25 25 31 35 34 28 25 22 20 20 22 16 9 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 14 20 29 40 48 49 43 35 28 25 26 33 43 53 63 68 69 65 58 50 40 29 20 14 12 13 15 16 16 22 33 50 69 51 38 33 35 38 40 42 45 48 48 47 47 46 44 42 40 39 36 31 29 32 39 50 60 69 72 74 74 73 72 72 72 70 64 57 50 45 42 42 42 44 44 40 34 28 22
17 19 25 29 31 32 39 48 54 56 57 56 55 53 49 47 43 39 35 32 35 33 27 26 28 27 24 19 16 15 16 20 26 19 11 4 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 11 16 23 32 42 47 45 38 30 25 25 29 35 43 52 62 65 63 60 54 50 42 33 24 19 18 19 21 22 21 21 23 25 38 37 34 33 34 34 34 35 36 37 35 32 30 29 29 31 33 34 33 29 27 33 44 56 68 77 80 83 86 89 94 96 93 81 67 57 50 46 44 45 47 50 52 47 41 36 34
22 25 36 44 48 54 79 83 76 65 59 59 61 61 54 48 44 42 41 40 41 43 43 41 33 23 14 7 5 4 5 9 22 21 15 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 19 27 37 45 47 45 38 31 29 31 34 38 44 50 57 58 57 55 51 57 49 35 25 22 23 25 27 27 25 23 22 23 25 27 29 30 29 28 28 28 27 25 21 17 15 17 20 24 28 32 35 36 38 48 59 69 78 87 93 98 101 101 97 88 73 57 43 34 28 26 25 25 26 28 28 28 27 27 29
46 52 56 58 60 65 93 94 86 78 76 69 66 64 59 52 48 48 52 52 54 57 58 57 45 28 11 2 0 0 0 2 13 18 16 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 13 21 31 40 46 48 46 41 37 35 36 37 38 40 45 49 52 53 51 44 37 31 26 24 23 23 25 27 27 25 22 20 20 21 23 24 23 22 22 21 21 17 13 9 7 8 10 14 18 24 31 39 47 54 62 71 81 90 99 106 111 114 101 84 64 46 33 24 20 18 16 15 14 14 14 14 15 16 16 17
76 79 70 63 59 61 75 78 79 80 82 74 67 62 56 53 56 59 57 57 57 57 59 64 54 35 13 1 0 0 0 0 3 7 8 8 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 1 2 3 2 2 4 7 11 19 30 40 47 50 48 45 42 40 39 40 39 39 42 44 46 48 48 43 38 33 28 24 21 20 21 22 23 22 20 18 17 17 17 18 18 17 17 15 12 9 6 4 3 5 7 11 15 21 31 44 56 66 76 85 93 99 104 108 111 105 87 67 50 40 32 26 22 19 17 15 14 12 12 12 13 13 12 10
75 73 59 55 56 57 61 61 59 57 57 58 57 54 52 53 56 57 53 48 43 42 46 62 57 41 21 3 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 1 2 4 4 4 3 4 3 4 7 14 25 36 46 51 51 50 48 45 43 42 41 40 40 42 44 46 45 42 38 33 27 23 19 17 17 18 19 19 18 17 17 16 16 15 15 14 12 9 7 4 3 2 2 4 7 10 16 25 37 49 62 75 87 96 100 102 102 102 98 87 71 56 45 39 34 29 25 21 18 16 14 12 12 12 12 12 11 9
51 45 42 45 48 49 50 49 47 46 45 46 48 49 50 53 55 54 49 41 35 32 38 53 56 51 37 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 5 5 4 3 3 5 9 16 28 43 51 53 53 51 46 43 41 41 41 40 41 42 43 41 38 35 30 26 22 19 16 15 15 16 16 17 16 16 15 15 13 12 10 9 6 3 2 2 1 1 2 4 7 17 29 42 55 72 86 96 102 102 100 96 90 80 68 57 47 41 36 32 28 24 21 18 15 13 12 12 12 11 11 11 10
28 28 29 33 37 40 40 41 41 41 43 44 46 47 49 53 55 55 53 47 39 35 39 51 59 63 60 43 23 10 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 1 2 4 5 5 5 5 4 4 4 3 5 8 16 31 44 52 56 56 49 45 44 44 46 45 43 42 39 36 33 29 25 21 19 16 14 13 12 12 13 13 14 14 14 13 11 9 8 6 3 1 1 0 0 0 1 2 9 20 33 47 63 79 93 102 105 101 92 81 70 59 49 40 36 33 30 27 25 22 19 16 14 12 11 11 11 11 11 11 10
12 17 23 29 33 35 34 38 41 41 42 44 43 43 47 49 51 52 51 52 49 46 44 49 57 67 77 76 60 42 27 19 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 5 5 4 4 4 3 3 3 6 19 34 50 62 63 55 48 45 45 49 50 48 45 41 35 29 25 20 17 15 13 11 10 9 9 8 9 10 10 9 8 7 6 4 3 1 0 0 0 0 0 0 2 11 24 40 54 71 86 97 104 101 90 74 59 46 38 33 32 30 28 25 21 21 19 17 14 13 12 11 11 11 11 11 11 10
3 10 15 21 26 30 27 33 39 42 44 43 43 42 45 46 47 48 48 53 50 45 43 45 50 61 77 89 93 93 87 72 61 45 25 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 5 5 4 4 4 3 3 3 3 10 23 42 62 65 59 52 47 48 53 55 55 50 44 38 31 25 20 16 14 13 11 9 8 7 6 6 5 5 5 4 3 2 2 1 1 0 0 0 0 0 1 6 17 31 47 61 78 93 103 104 94 75 55 43 35 30 26 26 24 23 20 18 17 17 16 14 14 13 12 12 12 12 11 11 11
2 6 11 14 18 21 23 29 35 39 40 39 39 41 42 45 47 48 48 49 47 45 44 48 51 59 75 85 91 100 112 112 102 82 57 33 20 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 1 3 4 4 4 4 4 5 5 4 4 3 2 2 2 5 12 26 51 59 61 57 52 54 57 59 59 54 48 40 32 26 21 19 18 17 16 14 12 9 8 6 5 4 3 2 1 1 0 0 0 0 0 0 0 0 2 10 22 37 53 71 89 102 109 104 87 64 46 36 29 25 22 21 21 20 18 17 16 16 14 14 14 13 13 12 12 13 13 13 13
1 5 9 12 14 16 18 22 26 29 30 31 34 37 41 44 46 48 48 47 45 45 48 54 58 65 79 84 81 88 110 117 113 103 88 67 47 29 16 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 4 4 3 3 2 2 2 3 5 12 30 44 54 58 54 55 57 58 58 54 48 41 34 29 27 25 24 23 21 19 17 13 10 8 5 4 2 2 2 1 0 0 1 2 2 1 0 1 5 14 26 42 60 78 95 109 113 106 89 68 52 41 32 26 23 20 18 18 17 16 16 16 14 13 12 12 11 12 12 13 13 13 13
0 2 4 8 10 10 10 12 14 16 17 20 24 28 33 38 42 45 48 47 46 46 50 54 59 67 80 88 78 74 91 99 104 109 111 101 80 58 36 18 9 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 0 0 0 0 0 0 1 1 2 3 3 3 4 4 4 4 4 4 3 3 3 2 2 2 3 4 13 25 38 50 52 53 54 54 52 50 46 41 36 31 28 27 26 26 24 21 17 13 10 7 6 5 3 2 2 1 2 3 5 5 4 2 2 3 8 16 27 43 59 76 94 110 115 112 102 85 67 51 39 30 24 19 16 15 16 16 16 15 13 11 10 10 10 10 11 13 14 14 14
0 0 1 3 6 7 7 9 10 11 11 12 15 18 22 29 36 43 48 48 48 48 54 59 63 68 75 92 83 73 79 84 90 100 114 115 106 90 68 45 30 21 15 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 1 1 2 3 3 3 4 4 4 4 4 3 3 3 3 3 2 2 2 3 5 10 18 35 44 49 51 52 49 46 43 40 37 34 31 30 29 27 24 21 16 13 9 6 8 6 4 3 3 5 7 9 10 10 8 7 6 7 11 19 29 42 58 75 94 111 120 121 114 98 79 60 45 36 28 21 16 15 14 15 14 13 11 10 9 9 10 11 13 14 15 15 15
1 0 0 2 4 4 5 7 8 7 7 8 9 10 13 21 29 37 42 44 46 52 60 65 67 67 70 86 84 76 75 79 85 94 104 117 120 110 91 80 72 66 60 49 37 22 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 4 8 19 31 39 46 51 50 48 44 39 34 30 28 27 27 26 24 22 19 15 12 9 10 10 12 12 12 13 14 15 15 15 14 12 11 12 15 21 31 45 62 81 98 111 120 126 124 112 95 76 59 47 37 27 20 16 14 14 13 11 10 9 8 9 11 12 14 15 15 16 16
6 4 4 6 7 8 7 7 6 3 3 5 7 9 11 17 24 29 33 37 45 57 69 73 72 70 68 75 77 78 78 81 88 94 99 111 119 115 98 88 75 64 57 54 40 25 11 4 2 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 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 5 10 16 23 33 41 46 49 50 45 37 30 24 24 23 22 22 22 20 18 17 17 18 19 21 21 20 20 20 20 19 18 18 18 17 18 22 29 40 55 73 90 103 114 122 129 129 122 109 92 75 60 46 34 25 20 17 16 13 10 8 7 7 8 9 11 13 14 16 16 17
15 15 16 17 16 14 12 9 7 6 8 9 12 15 16 18 21 24 28 35 46 61 72 76 72 64 60 65 71 77 82 87 93 98 100 104 110 108 90 71 53 39 27 23 14 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 1 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 5 6 9 16 23 30 39 46 47 43 37 28 26 25 23 22 21 19 18 20 21 24 26 27 26 25 24 24 23 22 21 20 21 22 24 29 37 49 65 85 98 109 117 123 131 133 128 118 103 87 70 54 40 31 26 23 18 14 10 7 6 6 8 9 10 12 13 14 16 16
16 20 22 22 20 18 18 17 17 19 21 24 25 25 24 24 23 23 26 32 42 55 67 73 67 56 55 60 66 72 83 97 110 120 123 118 113 102 75 57 42 28 15 10 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 2 2 2 2 2 3 3 4 6 8 13 22 32 40 43 43 36 33 30 26 23 21 19 18 20 23 26 28 27 27 27 27 28 28 27 26 23 23 26 30 36 43 54 69 86 100 111 120 125 131 135 134 126 112 95 75 55 42 35 32 27 22 16 11 9 8 8 9 10 12 13 15 16 17 18
11 15 19 21 23 25 26 27 28 29 31 33 35 35 33 30 27 25 27 32 39 48 60 74 77 73 80 85 77 66 80 102 122 136 141 127 116 104 83 62 45 30 20 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 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 3 3 4 9 18 27 36 40 39 37 34 29 27 25 22 19 18 19 22 24 26 29 30 32 36 39 38 32 28 27 28 31 38 46 56 67 80 94 107 119 127 135 140 142 135 122 104 84 63 49 42 38 33 27 21 17 14 13 13 14 15 16 17 20 22 23 23
7 12 16 19 22 25 29 32 34 34 36 38 40 43 42 39 35 34 35 38 42 47 56 75 90 100 113 114 100 79 81 95 113 131 145 135 122 109 90 70 53 40 31 21 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 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 2 2 2 3 4 8 15 26 33 38 41 41 36 33 29 25 22 17 16 19 24 28 33 39 41 43 44 43 38 34 31 30 30 36 44 53 63 72 83 98 114 128 140 148 149 142 128 107 95 79 64 54 50 42 33 25 21 18 17 17 19 21 23 24 26 27 28 28
5 10 15 18 21 24 30 34 38 41 41 43 47 51 54 53 50 45 43 43 45 50 63 75 90 107 120 120 115 109 106 108 118 132 139 133 124 112 96 78 63 52 43 32 20 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 7 17 28 37 46 52 47 44 42 38 30 23 20 24 31 38 43 49 51 50 47 46 41 36 32 29 29 34 42 52 60 68 77 93 108 125 141 151 152 144 125 96 98 94 82 67 60 51 40 30 23 19 19 21 22 24 27 28 28 27 27 33
4 8 14 18 19 20 21 25 31 39 45 52 58 63 66 64 59 52 46 44 45 50 64 79 94 106 116 117 121 129 134 136 139 142 135 128 120 113 103 89 76 65 55 44 32 21 13 7 3 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 11 22 33 46 55 57 57 55 49 40 34 33 42 52 58 59 63 65 62 54 47 41 34 29 27 30 35 42 49 56 63 73 85 98 114 136 146 151 151 147 124 116 110 95 75 62 52 41 33 27 24 25 26 25 23 22 19 18 22 34 45
4 8 14 18 19 17 12 11 17 29 42 53 62 68 70 68 64 57 50 48 52 61 74 87 97 107 114 122 133 145 157 164 160 145 137 131 123 112 104 95 84 74 67 58 48 37 27 17 9 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 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 5 12 23 40 52 61 66 69 65 61 59 60 71 76 76 77 79 76 69 61 53 44 36 29 29 32 37 42 47 52 60 69 80 91 103 120 132 142 147 150 146 137 121 98 82 71 61 43 37 35 33 33 33 33 33 32 33 35 36 50 58
2 4 9 15 19 19 5 3 9 19 32 45 56 66 67 69 68 65 56 58 66 75 86 97 105 110 115 122 131 144 162 171 170 160 155 148 136 118 107 95 83 75 73 68 61 52 42 32 21 10 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 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 2 5 12 26 40 55 68 75 79 81 82 78 79 80 79 79 80 78 73 67 60 51 40 33 31 34 40 42 46 51 58 69 79 89 97 108 119 129 135 139 138 132 122 93 76 71 72 55 45 45 44 43 43 43 44 46 49 52 54 59 63
3 2 3 10 19 28 15 12 13 16 24 34 46 57 62 65 67 68 64 67 73 80 90 101 108 110 115 119 126 137 149 159 166 170 172 170 161 142 128 115 102 92 88 82 76 69 60 50 38 25 15 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 2 12 24 39 57 70 81 89 96 90 87 85 83 83 84 84 80 75 69 60 47 37 32 33 41 42 44 49 57 67 77 86 94 101 108 116 121 124 124 119 106 87 74 69 70 63 56 55 54 52 50 50 52 50 47 49 52 57 62
14 11 9 10 14 21 25 25 25 25 25 32 41 50 53 53 54 58 64 67 70 75 82 92 101 104 107 110 116 126 129 133 136 138 143 152 157 149 141 135 129 122 113 107 102 96 80 67 53 38 25 15 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 4 11 22 36 52 68 84 97 99 98 97 96 94 92 89 85 81 75 66 52 40 31 30 37 40 43 46 55 64 74 82 89 94 99 104 107 107 104 98 89 82 79 73 67 62 58 55 53 52 50 48 46 43 42 44 49 54 60
44 36 27 21 18 18 24 31 37 42 41 44 47 49 47 45 44 47 50 53 57 62 65 73 81 86 88 87 88 92 94 94 91 86 88 92 97 100 104 108 114 125 129 131 129 120 102 86 71 54 39 26 16 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 4 9 18 29 44 65 82 92 98 99 98 97 95 92 88 82 74 64 52 39 29 32 36 40 42 46 52 60 67 75 81 86 90 93 95 92 85 74 65 61 61 58 54 51 48 44 43 44 44 44 43 43 43 45 49 52 58
78 70 55 46 39 31 33 40 49 61 63 62 59 53 43 36 33 33 34 35 36 38 44 49 55 58 60 60 60 63 61 58 53 45 43 45 49 55 57 59 64 82 87 87 86 91 91 84 71 58 42 29 21 17 12 6 1 0 0 0 0 0 0 0 1 2 2 2 3 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 7 10 17 32 49 65 81 90 93 95 97 95 89 81 71 59 47 37 29 32 35 38 39 44 49 54 58 62 68 73 77 77 72 63 48 38 33 33 34 35 35 36 34 33 32 32 35 37 38 38 39 41 44 49 52
94 91 84 73 61 49 45 46 50 52 54 55 54 50 36 29 26 23 21 19 19 20 24 28 31 35 38 39 39 37 35 32 28 23 20 21 24 28 27 28 31 38 41 41 39 41 43 43 43 40 32 26 24 20 15 9 1 0 0 0 0 0 0 1 2 3 4 4 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 4 11 20 32 50 64 76 85 91 91 86 78 68 56 45 36 30 30 32 34 35 38 41 44 46 50 53 56 56 53 46 34 21 14 12 14 17 20 22 24 23 22 23 25 29 32 34 33 31 30 32 35 37
105 109 109 94 76 60 52 46 39 32 32 34 37 40 33 26 20 15 11 10 9 11 12 14 15 18 22 25 26 25 23 19 15 13 12 12 12 11 11 11 13 14 15 14 13 12 12 13 16 18 19 21 22 21 16 8 2 0 0 0 0 0 0 0 2 4 5 5 3 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 3 4 7 16 31 46 62 72 76 76 72 64 54 44 35 30 28 27 27 28 30 32 32 34 36 37 39 39 35 29 20 12 7 5 6 9 11 13 14 14 14 14 17 21 24 25 24 21 18 17 19 21
105 112 104 88 70 57 53 44 35 29 31 34 35 32 27 21 15 9 4 2 2 4 4 4 5 6 9 12 13 13 15 16 15 14 13 11 10 9 7 6 6 6 6 6 5 6 6 7 8 11 14 17 20 23 18 11 4 2 1 0 0 0 0 0 1 3 4 4 2 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 1 4 10 17 29 42 52 57 59 56 50 41 33 27 22 21 19 19 20 23 23 24 25 27 29 29 28 23 15 8 3 3 4 5 7 8 8 8 7 7 9 12 14 15 15 13 9 7 6 6
95 100 94 84 72 60 47 42 39 35 31 28 25 23 18 14 8 3 1 0 0 1 1 1 1 1 2 4 4 6 8 10 11 11 10 9 8 7 6 5 4 3 3 4 3 4 5 6 6 9 12 15 18 20 19 15 11 5 2 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 1 1 1 1 1 1 1 2 2 2 2 1 1 1 2 3 7 15 23 29 36 38 37 33 27 22 17 15 14 13 12 15 16 17 17 17 17 17 17 17 12 6 3 3 3 3 5 6 7 7 6 6 6 7 7 8 8 5 4 3 2 3
84 84 79 72 64 56 52 46 40 34 27 22 18 14 9 5 2 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 5 4 4 5 5 5 5 5 6 5 4 3 3 4 6 8 9 10 11 14 14 13 12 9 3 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 5 7 13 18 20 20 18 16 14 13 12 10 10 11 11 10 8 7 6 5 6 8 7 5 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3
77 77 73 67 61 54 49 43 37 30 21 15 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 3 4 5 6 6 5 3 2 3 4 5 5 4 4 6 8 10 11 10 7 3 2 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 2 1 3 5 7 8 9 9 10 10 9 8 8 8 8 6 3 1 0 0 1 2 2 2 3 4 5 4 3 3 2 1 1 1 2 2 3 3 3 3 3 3 2 1
73 72 69 63 56 49 45 40 34 27 17 10 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 4 2 2 2 3 3 3 3 2 3 5 7 8 11 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 2 2 2 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 2 4 5 7 8 9 8 7 7 6 3 1 0 0 0 0 0 0 0 2 4 6 6 5 4 3 2 2 1 2 1 1 0 0 0 0 0 0 0
64 63 61 56 51 45 40 35 28 18 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 1 2 3 3 2 1 0 0 1 1 2 2 2 2 2 3 4 5 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 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 1 2 2 2 2 1 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 2 4 7 9 10 9 8 7 5 3 1 0 0 0 0 0 0 0 1 2 4 4 5 7 7 8 8 5 5 4 2 1 1 0 0 0 0 0
52 50 49 47 43 39 33 27 20 10 6 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 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 3 3 4 3 2 1 1 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 5 9 13 14 13 11 8 5 2 1 0 0 0 0 0 0 0 0 0 1 1 3 5 8 10 12 9 7 6 4 3 2 1 0 0 0 0
37 36 35 33 31 28 24 18 11 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 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 1 1 1 2 2 2 2 3 3 3 2 2 2 2 1 0 0 0 0 1 3 4 4 3 2 1 1 1 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 16 18 17 15 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 8 7 6 4 2 2 0 0 0 0 0
19 17 16 16 16 15 13 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 4 5 4 4 4 4 3 2 1 0 0 1 2 4 4 3 2 1 0 0 0 0 0 0 1 1 1 2 2 3 3 3 3 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 4 10 16 19 19 17 15 13 9 6 3 2 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 2 2 1 0 0 0 0 0
11 10 10 9 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 2 3 3 3 4 4 4 4 4 3 3 2 1 1 2 3 3 3 3 2 1 0 0 0 0 0 0 1 1 2 2 3 3 3 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 14 15 16 16 15 14 11 8 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
4 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 3 3 3 3 3 2 2 2 2 2 2 3 3 3 2 1 1 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 18 21 22 22 19 15 10 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 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 2 2 2 1 1 2 2 3 3 2 1 1 1 0 0 0 0 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 20 27 31 31 28 23 17 12 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 0 0 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 2 2 2 2 1 1 1 1 2 2 2 2 1 1 1 0 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 17 29 37 38 36 31 24 17 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 2 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 3 12 24 35 40 39 33 27 22 16 9 4 2 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 3 3 2 2 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 8 19 34 40 37 31 26 21 18 12 7 4 1 0 0 0 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 2 3 3 2 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 2 2 2 2 2 2 1 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 2 7 15 26 31 30 26 22 18 16 13 10 6 4 3 2 0 1 3 4 4 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 0 0 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 3 3 3 2 3 3 3 2 2 2 1 1 1 1 0 0 0 1 0 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 14 21 23 22 20 18 18 17 15 9 7 5 4 3 3 5 6 7 8 9 6 4 2 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 2 1 2 2 3 3 3 2 1 1 1 0 0 1 1 1 1 1 2 2 2 2 1 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 15 18 19 20 21 21 22 21 14 9 7 8 8 9 11 12 13 13 12 10 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 0 0 0 0 0 1 2 3 4 4 3 2 2 2 3 3 3 4 3 2 2 1 1 1 0 1 1 1 1 1 2 2 2 1 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 0 0 0 0 3 7 13 18 21 23 24 26 26 22 17 13 11 13 14 15 17 16 15 14 13 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 3 3 4 3 3 2 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 12 18 22 24 23 23 23 20 16 12 13 15 16 18 19 17 15 12 11 9 6 2 1 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 18 20 22 23 23 23 18 13 9 11 13 14 15 16 16 14 12 11 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 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 3 3 3 3 3 3 3 2 2 1 1 2 2 2 2 1 1 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 17 23 25 26 27 28 26 21 15 12 11 12 13 14 15 16 14 14 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 4 3 3 3 3 3 2 2 1 2 2 3 2 2 1 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 0 0 1 6 15 24 30 31 31 32 32 30 26 19 15 13 12 16 19 19 18 16 15 15 12 7 3 0 0 0 0 0 0 0