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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 2 2 3 4 4 3 4 4 5 5 6 6 5 5 4 4 4 3 3 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 9 15 22 23 18 12 8 7 7 7 6 5 3 3 6 7 7 7 6 5 5 5 4 2 1 3 5 7 7 6 6 6 4 2 3 5 6 5 3 3 6 9 11 9 6 5 7 7 6 5 4 4 4 5 5 3 2 4 6 6 2 -3 -5 -1 4 8 5 -2 -3 1 3 3 3 4 6 8 8 7 8 12 19 24 23 18 12 9 7 7 6 5 5 5 4 4 3 2 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 8 11 14 14 10 7 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 6 4 -1 -6 -6 -2 1 0 0 2 3 3 4 4 4 4 4 3 3 3 4 4 5 5 5 4 4 4 4 5 6 7 8 9 9 8 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 8 8 8 7 6 5 4 4 4 5 5 5 5 5 5 4 4 3 3 3 4 6 12 18 21 20 16 12 9 8 6 5 5 4 4 3 2 1 1 2 4 5 5 6 8 9 8 4 2 1 3 2 -2 -6 -3 1 4 5 5 6 6 7 7 7 7 8 8 7 7 7 7 8 8 7 7 5 4 4 3 4 4 4 4 5 5 5 5 6 6 7 7 6 5 5 4 3 3 4 5 7 8 9 8 7 7 7 6 6 6 6 6 7 7 7 7 6 7 8 8 8 8 8 7 6 5 5 6 7 10 14 16 18 18 17 17 17 nan
nan 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 2 2 2 2 3 3 3 3 3 4 4 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 10 17 20 17 13 11 9 7 8 9 8 5 2 1 2 4 7 8 7 6 5 3 2 3 4 6 8 9 8 7 7 6 5 3 3 3 3 3 4 5 7 9 11 10 8 8 8 8 6 5 4 4 4 5 5 5 5 6 6 5 2 -2 -3 3 9 8 2 -2 -0 2 5 7 7 6 6 7 8 9 12 16 21 21 18 13 9 7 6 6 5 5 5 5 4 3 2 2 2 3 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 10 12 11 8 5 5 5 5 5 6 6 6 6 7 7 8 7 7 7 8 7 7 6 6 6 6 5 1 -5 -7 -4 -1 -1 -3 -1 2 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 4 5 6 7 8 8 8 7 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 8 8 8 8 7 6 6 5 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 4 6 11 16 18 15 11 7 5 5 5 5 5 5 5 3 1 1 3 4 6 7 8 9 9 8 6 5 4 4 5 3 -0 -1 1 3 4 5 6 7 8 8 7 7 7 8 8 7 6 6 7 7 7 7 6 5 4 4 3 4 4 5 5 5 5 6 6 7 7 8 8 7 6 5 5 4 4 5 6 7 8 7 7 6 6 6 6 6 6 7 9 10 11 10 8 8 8 9 8 9 9 8 7 4 2 2 4 8 12 16 17 17 16 16 15 nan
nan 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 2 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 10 17 21 18 13 10 9 8 7 7 6 3 1 1 3 4 5 5 5 5 4 3 3 4 6 7 7 8 7 7 6 5 4 4 3 2 2 4 6 7 9 10 10 11 12 13 12 10 7 5 5 5 5 5 4 5 7 8 8 5 2 -0 0 4 7 3 0 1 3 3 6 8 7 6 6 8 10 12 14 17 19 17 13 9 7 6 6 5 5 5 4 4 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 10 12 11 7 5 5 5 5 5 6 6 5 5 5 6 7 8 8 8 9 8 7 6 5 5 5 5 4 -0 -4 -4 -1 1 -2 -2 0 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 4 4 5 6 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 7 7 8 7 7 6 6 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 3 3 2 2 2 4 7 10 10 9 6 4 3 3 4 4 5 5 3 2 3 4 5 6 7 8 7 5 5 5 5 5 4 5 5 3 2 2 3 3 4 6 7 7 7 8 8 9 10 10 7 7 7 7 7 8 7 7 6 5 4 4 4 5 5 5 5 6 6 7 7 7 8 8 8 7 6 6 5 5 5 6 6 7 7 6 6 5 5 5 5 6 7 10 13 15 13 11 9 8 8 8 9 9 9 8 5 1 -1 0 4 8 12 13 12 12 12 10 nan
nan 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 3 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 7 7 8 7 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 10 16 22 20 14 10 8 6 5 4 3 1 1 3 4 4 3 3 4 4 3 3 4 5 6 6 6 6 6 5 4 3 3 4 4 4 3 5 7 9 10 9 8 9 13 15 14 11 8 7 6 6 5 5 4 4 6 9 8 5 4 4 4 4 1 -1 -0 3 4 4 6 6 6 5 5 8 11 13 15 16 15 12 9 8 7 6 6 5 5 4 4 3 3 2 3 3 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 6 7 10 14 13 7 5 8 8 6 5 5 5 5 4 5 5 6 7 7 7 7 7 7 6 5 4 4 5 5 3 -1 -4 -2 3 4 2 1 3 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 3 3 4 4 5 6 7 7 7 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 6 6 6 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 2 1 -0 -2 -2 -2 -1 1 3 5 5 5 4 4 3 4 4 4 4 3 3 4 5 5 7 8 7 5 2 3 5 6 5 4 5 5 5 3 3 3 3 4 5 6 6 6 7 9 12 15 12 9 8 8 8 8 8 8 8 7 6 5 5 5 5 5 5 5 6 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 7 9 13 16 15 13 10 8 7 7 8 9 9 8 6 2 -1 -1 1 4 6 7 6 7 7 6 nan
nan 3 3 2 2 1 1 1 1 2 2 2 2 2 3 3 3 4 4 4 5 5 5 5 5 5 4 3 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 8 8 7 6 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 9 14 17 15 10 7 6 5 3 2 1 1 2 3 4 3 3 3 4 4 4 4 4 5 6 6 6 6 5 4 2 2 4 7 8 7 5 3 5 8 8 6 4 6 10 13 12 10 9 9 8 6 5 5 4 4 6 8 7 4 5 8 7 3 -1 -2 1 4 4 5 5 5 4 3 4 7 11 14 15 14 12 10 8 7 7 6 6 5 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 6 9 14 14 9 6 8 8 6 5 4 4 4 5 5 6 6 6 5 5 5 6 6 5 5 4 4 4 5 4 2 -2 -4 -0 4 5 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 5 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 3 3 3 4 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 4 4 4 4 3 3 2 0 -1 -3 -5 -7 -8 -8 -7 -5 -2 1 3 4 5 5 5 5 5 5 5 4 3 3 4 7 10 12 11 8 5 4 6 6 6 5 6 6 5 4 3 3 3 3 4 5 5 5 6 9 15 17 14 12 10 9 8 8 8 8 8 8 7 6 5 5 5 5 5 4 5 6 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 11 13 14 12 10 7 6 6 7 8 8 8 6 4 1 0 1 2 2 2 2 3 3 3 nan
nan 4 3 3 3 2 2 1 1 2 2 2 1 2 2 2 2 3 3 3 4 4 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 5 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 9 11 12 10 5 3 5 5 4 3 4 4 3 2 1 1 2 4 5 6 6 6 6 7 7 6 7 7 6 3 2 2 5 7 9 10 7 4 5 6 5 2 0 2 6 9 9 8 8 8 7 5 5 4 4 4 6 6 4 4 7 10 8 3 -0 1 4 5 5 5 6 5 3 4 5 8 11 14 14 13 10 9 7 7 7 6 6 5 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 4 5 8 12 14 11 6 6 6 5 4 3 3 4 5 7 7 7 7 6 5 5 5 5 5 4 4 4 5 5 5 5 2 -2 -4 -2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 5 5 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 2 1 -1 -3 -5 -6 -7 -8 -9 -9 -8 -6 -3 0 2 4 5 6 6 6 6 6 6 6 5 4 4 7 11 15 15 13 10 8 7 6 6 6 6 7 6 5 4 3 2 3 3 3 3 4 5 7 12 14 13 13 11 9 8 8 8 8 8 8 8 7 6 6 6 6 5 5 6 7 7 8 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 7 9 10 10 8 5 5 6 6 7 7 7 6 5 4 4 3 2 1 0 1 1 2 3 nan
nan 4 4 4 4 4 3 3 2 2 2 2 2 2 1 1 2 2 2 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 4 4 3 3 4 5 7 8 9 9 8 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 10 12 12 7 4 5 6 6 7 7 6 3 -0 -2 -1 2 5 8 8 7 7 8 7 7 6 6 5 4 3 2 3 4 4 4 6 7 7 6 6 4 -0 -2 0 5 8 7 5 4 4 4 4 4 4 4 4 5 3 3 5 7 8 6 3 2 3 3 5 5 6 5 4 4 6 7 9 12 14 13 11 10 9 8 8 7 7 6 5 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 7 12 15 12 7 4 4 4 4 3 3 4 5 6 6 7 7 7 7 6 6 5 5 4 5 5 6 6 6 6 5 2 -3 -5 -2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 4 5 4 4 4 4 4 4 5 5 4 4 3 3 1 -1 -3 -5 -7 -6 -3 -2 -3 -4 -3 -1 1 3 4 4 4 5 5 6 6 6 7 8 8 6 3 4 8 12 12 12 10 8 7 6 6 6 7 7 7 6 4 3 3 2 1 1 2 2 4 5 6 7 9 11 10 9 7 7 7 8 8 8 8 8 7 7 7 6 6 6 7 8 9 9 9 9 9 9 9 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 6 6 7 6 5 5 5 6 6 6 5 6 6 7 7 6 5 3 1 0 1 3 5 nan
nan 4 5 5 5 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 4 4 3 3 3 4 6 7 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 10 12 14 13 9 7 8 8 8 8 6 2 -1 -2 1 6 9 9 8 8 9 9 7 6 5 5 4 3 3 5 4 3 1 -1 1 6 7 4 4 4 -1 -3 1 6 9 8 4 2 1 2 4 5 5 3 4 5 4 4 6 6 4 2 3 6 4 2 4 6 6 4 4 6 7 8 9 12 13 12 10 9 9 9 8 7 6 5 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 6 11 16 16 11 6 4 4 4 4 5 5 4 4 4 5 6 7 7 7 6 6 5 5 6 6 7 7 6 5 5 5 2 -2 -2 1 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 3 2 2 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 3 2 1 0 -1 -2 -3 -2 1 4 3 2 3 4 4 5 5 5 4 4 4 5 5 6 7 11 13 10 4 0 2 6 8 7 7 6 5 6 6 6 6 7 7 6 5 4 4 2 1 0 1 1 2 4 4 4 6 8 8 7 6 6 7 8 8 8 8 8 8 8 7 7 7 7 8 9 10 11 11 11 11 11 10 9 9 8 8 8 8 7 6 6 5 5 5 5 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 6 7 9 9 9 7 5 2 1 2 3 5 nan
nan 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 1 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 6 5 5 4 4 3 3 3 4 5 6 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 8 9 10 11 14 14 11 9 8 8 7 7 5 3 2 3 7 9 10 8 8 9 11 11 8 6 5 5 5 4 6 9 8 5 2 0 3 6 4 -1 1 3 -0 -1 3 7 10 9 6 3 1 3 6 8 6 4 4 6 7 6 6 6 4 3 4 7 6 2 3 5 5 4 4 7 8 8 10 12 12 11 10 9 9 9 8 7 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 5 5 4 4 5 9 14 18 17 14 9 7 6 6 6 5 4 4 4 4 5 6 6 6 5 5 6 7 7 7 7 6 5 5 5 6 5 2 -0 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 2 1 0 1 3 3 2 2 4 6 5 4 4 5 5 5 5 4 4 4 4 5 6 5 7 11 15 15 9 2 2 4 5 5 5 5 5 6 6 6 6 7 6 6 5 5 5 6 5 4 3 2 1 2 4 4 4 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 10 11 12 12 13 13 12 12 11 11 11 11 11 10 8 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 5 5 5 6 6 8 9 10 10 8 6 3 2 2 4 5 nan
nan 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 3 3 4 5 5 6 6 5 5 5 5 5 5 5 4 4 3 4 4 4 5 6 7 8 8 8 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 8 9 10 11 13 12 9 7 7 7 6 5 4 5 6 8 10 10 9 7 7 11 13 12 10 7 6 6 6 6 9 13 12 9 5 4 6 7 2 -2 0 3 1 1 3 7 10 9 6 3 2 4 7 8 7 5 5 7 6 4 5 8 8 6 6 8 6 3 3 4 4 4 5 7 8 9 12 12 11 11 10 9 8 8 7 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 5 5 4 4 6 9 14 18 19 18 14 12 11 10 9 8 6 5 4 4 4 5 5 5 4 5 6 6 6 7 6 6 6 6 6 7 5 4 4 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 4 4 3 3 4 5 6 7 7 7 7 7 8 9 10 11 9 7 5 5 5 4 4 5 5 5 6 5 5 4 4 3 3 3 2 2 1 0 0 1 3 4 5 5 5 5 5 4 4 4 5 5 5 5 5 6 7 9 9 7 6 8 11 13 12 7 5 5 5 5 5 5 6 6 6 6 6 7 6 6 5 5 6 8 9 9 8 6 3 2 4 4 4 5 6 9 11 12 11 8 7 6 6 6 7 7 7 7 7 7 8 9 10 11 12 13 13 14 14 13 13 13 14 14 13 12 9 8 7 6 6 5 5 6 6 6 7 7 7 7 7 7 6 5 5 5 6 5 5 6 7 9 10 10 9 7 6 4 4 5 6 nan
nan 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 3 3 3 4 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 8 9 10 11 12 11 7 5 5 5 5 4 4 6 8 9 9 8 7 6 7 11 13 12 9 8 7 7 6 6 10 14 14 10 6 6 8 8 4 1 2 3 2 2 3 5 8 8 6 3 2 4 6 7 6 5 6 6 3 2 5 10 11 9 8 8 8 5 4 4 3 3 4 5 7 10 13 13 11 10 9 8 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 6 5 4 4 4 5 8 12 16 19 19 17 16 16 15 14 12 11 9 7 6 6 6 6 5 5 5 5 7 7 7 8 8 8 8 8 8 7 6 6 6 5 5 5 4 4 4 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 3 3 4 4 6 7 8 7 5 2 1 1 3 5 7 7 8 8 8 9 10 11 12 13 11 7 5 4 3 3 3 4 5 5 5 5 5 4 3 2 2 1 1 -0 -1 -0 1 2 3 3 4 5 5 4 4 5 5 5 6 6 6 7 8 9 11 13 13 10 7 5 6 8 9 8 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 7 8 9 9 7 4 4 4 3 4 7 12 19 21 17 11 7 5 5 5 6 6 6 7 7 7 8 8 9 10 11 12 13 13 14 14 14 14 15 15 14 12 10 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 7 6 6 6 6 6 6 6 7 8 9 10 10 9 8 7 7 7 8 nan
nan 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 4 4 4 3 2 3 3 4 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 8 9 10 11 12 11 7 4 4 5 5 4 4 4 4 6 8 7 6 6 8 10 9 7 5 5 7 8 6 6 8 12 14 11 6 5 8 9 7 5 5 4 2 2 3 4 6 7 5 2 1 3 6 7 4 4 6 5 2 2 5 10 11 9 8 10 10 7 6 4 3 2 2 3 6 12 14 12 10 9 8 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 7 6 6 4 3 3 3 5 7 9 13 15 16 16 17 17 17 17 16 16 15 14 13 11 9 9 8 8 10 12 13 13 12 12 12 10 9 9 9 7 6 6 6 6 6 6 6 6 5 4 3 2 2 3 4 5 4 4 4 4 4 4 4 4 4 4 5 6 9 11 10 6 1 -2 -2 1 5 7 7 8 8 9 9 10 11 12 12 10 6 3 2 2 3 3 3 4 4 4 4 3 2 1 -1 -2 -3 -4 -4 -3 -2 1 4 4 3 4 5 4 4 4 4 5 7 7 7 8 10 11 11 12 11 11 10 7 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 4 4 5 5 6 8 8 6 5 4 3 3 6 13 23 28 24 14 7 4 5 5 6 6 6 7 7 7 8 8 9 9 10 11 12 12 13 13 13 13 14 14 13 11 10 9 8 8 8 9 9 10 11 11 11 12 12 12 11 10 9 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 8 nan
nan 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 4 5 4 2 2 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 8 9 10 11 12 11 7 4 4 6 5 3 2 -0 -0 4 7 6 4 6 7 7 5 2 1 1 5 9 8 6 6 8 11 11 7 5 6 8 9 8 7 4 3 3 4 5 6 6 4 2 0 2 6 6 4 4 3 2 1 2 4 8 9 7 8 10 11 8 6 5 3 1 0 3 10 15 14 11 10 8 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 7 7 7 6 5 4 3 3 4 4 5 6 8 9 9 10 11 13 14 15 16 17 18 18 18 16 15 13 13 16 18 18 17 16 16 16 14 12 10 8 6 6 6 6 7 7 8 8 8 8 6 5 3 2 2 2 4 4 3 3 3 4 4 5 5 5 5 6 7 9 13 15 12 6 -0 -3 -1 3 6 7 7 7 7 8 8 9 9 9 7 4 2 1 1 2 2 3 2 2 0 -1 -2 -3 -4 -5 -7 -9 -9 -8 -7 -4 0 3 4 4 4 5 5 5 5 5 7 8 8 8 8 10 12 11 8 7 6 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 5 6 7 7 5 4 2 2 5 11 20 26 23 14 7 5 5 6 6 7 7 7 7 8 8 8 9 10 10 11 11 12 12 12 12 12 13 13 13 12 11 10 10 10 11 11 12 12 13 13 14 14 15 15 14 13 12 10 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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18 21 23 23 24 22 19 17 16 12 9 6 4 7 10 15 18 23 27 31 34 34 31 28 26 29 30 33 38 43 43 45 62 76 81 139 267 397 428 422 426 428 405 377 373 377 368 354 348 344 356 405 474 523 516 490 447 455 543 671 732 666 513 367 270 224 189 148 113 87 70 66 69 74 77 75 58 57 57 52 52 50 47 43 76 71 55 40 32 45 53 29 37 52 35 39 35 42 46 48 48 54 67 75 81 91 113 135 147 153 156 160 163 165 165 162 159 157 158 163 166 160 158 152 150 151 165 182 170 142 113 92 104 156 178 182 173 252 422 511 564 673 747 790 837 881 907 948 882 870 823 802 832 850 908 961 1031 1122 1190 1279 1375 1414 1442 1481 1465 1421 1369 1359 1369 1340 1313 1293 1269 1243 1201 1175 1173 1173 1189 1207 1213 1222 1239 1284 1274 1327 1490 1576 1483 1546 1572 1561 1698 1888 1873 1923 1792 1736 1077 326 171 286 313 277 327 466 572 612 750 900 929 1092 1383 1736 1729 1462 1356 854 576 421 368 314 205 85 137 176 124 43 105 242 262 109 24 2 0 0 0 6 126 492 577 251 20 0 0 1 1 1 1 2 7 26 57 113 166 142 56 7 1 0 0 0 0 0 2 81 324 428 465 472 492 524 440 426 472 465 549 824 1168 1376 1383 1302 1258 1273 1383 1610 1712 1551 1296 1005 733 594 545 438 357 324 265 245 230 188 155 133 107 84 67 53 33 16 6 2 0 0 0 0 0 0 0 0 0 0 0 0 5 31 107 218 313 360 353 262 151 67 11 11 90 197 282 345 426 511 579 621 627 567 466 411 396 414 408 419 514 693 818 844 813 837 927 989 1066 1042 851 737 690 749 913 1059 1099 1059 934 942 964 888 844 862 939 1116 1276 1547 1810 2000 2002 1800 1350 1119 1193 1308 1412 1407 1446 1575 1583 1467 1388 1373 1368 1358 1366 1384 1455 1567 1498 1268 1119 1156 1203 1181 1153 1126 1052 991 957 871 860 964 1052 1136 1253 1396 1535 1625 1698 1739 1755 1772 1796 1776 1648 1465 1315 1202 1070 889 772 705 658 660 683 569 444 338 266 214 198 209 216 233 257 148 56 11 0 0 0 0 0 0 0 0 0 0 1 4 4 0 0 1 14 25 26 38 74 139 155 184 269 450 664 858 1085 1381 1712 2072 2330 2406 2213 1955 1854 1652 1669 1945 2044 1962 1829 1725 1682 1600 1478 1340 1181 1026 887 789 725 688 690 704 726 746 764 826 923 1016 1147 1263 1314 1345 1359 1394 1338 1646 2028 2385 2622 2586 2340 2149 2180 2243 2164 2130 2232 2252 2226 2203 1978 1827 2004 2291 2537 2548 2205 1722 1403 1354 1375 1421 1659 2019 2321 2473 2727 3066 3167 2846 2437 2275 2198 1985
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9 8 6 3 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 2 2 2 2 2 2 3 3 3 3 4 5 7 9 15 18 19 19 19 18 20 25 27 25 22 22 26 31 33 36 34 34 30 31 26 25 26 28 28 27 27 28 29 31 32 28 28 27 24 20 20 29 42 48 50 50 57 69 72 54 43 43 54 73 63 65 68 75 91 115 134 153 161 163 160 163 189 218 238 234 212 224 159 173 167 139 125 112 106 101 92 77 59 44 35 27 21 16 14 11 9 0 0 2 6 14 19 32 44 58 77 93 105 115 124 135 150 161 160 151 155 147 124 121 113 105 102 102 105 109 114 118 123 124 124 131 172 291 408 411 467 613 871 938 1288 1099 900 816 762 731 743 794 850 877 857 783 715 663 596 545 501 460 380 365 353 400 438 489 585 690 925 1068 950 797 794 985 1246 1271 1188 1047 863 638 639 720 370 528 416 389 320 419 412 410 441 542 660 696 761 812 705 545 303 144 84 54 35 21 6 0 0 0 0 0 9 47 109 169 194 143 64 18 0 0 3 15 35 46 33 12 4 2 2 1 0 1 8 34 91 159 223 281 360 481 609 742 928 1197 1457 1332 1010 832 741 567 351 266 252 264 400 455 428 382 371 367 348 316 292 278 252 218 175 138 115 87 53 26 8 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 1 2 2 3 4 5 6 8 16 27 36 50 130 445 743 398 175 84 61 51 44 38 37 39 39 41 44 48 53 69 101 163 290 532 864 1086 905 400 184 232 165 104 93 83 72 65 66 76 76 70 71 77 85 90 97 107 115 119 111 88 65 50 38 27 12 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 20 37 45 42 42 37 33 35 31 29 25 17 10 6 3 0 0 0 0 0 0 0 0 4 17 65 209 486 831 1102 1173 1028 739 463 314 233 135 96 152 196 155 121 105 108 114 138 167 190 180 142 110 95 89 84 75 70 65 64 81 130 226 332 433 483 545 687 902 1149 1382 1563 1650 1627 1601 1650 1843 2034 1991 2094 2108 2007 1934 1792 1700 1672 1703 1770 1840 1900 1916 2072 2099 2203 2278 2392 2375 2330 2313 2262 2210 2179 2222 2214 2160 2117 2079 2057 2065 2072 2071 2046 1998 1957 1941 1950 1960 1951 1886 1831 1814 1803 1800 1774 1738 1644 1596 1552 1473 1455 1381 1310
10 10 9 8 6 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 3 2 3 3 3 3 4 5 7 9 13 14 16 16 16 17 22 25 25 22 21 22 24 26 28 27 27 28 30 31 26 25 27 28 27 26 27 28 30 31 30 30 29 28 25 26 33 32 39 43 43 48 59 61 50 37 31 39 52 46 43 39 47 58 83 106 127 138 146 148 148 158 176 190 194 197 223 205 185 184 169 147 128 115 107 102 91 74 55 42 32 25 20 16 13 10 3 0 0 1 9 8 17 27 44 58 72 86 105 124 139 153 168 168 158 180 180 132 124 109 102 99 101 103 106 111 115 119 122 124 137 199 329 434 442 498 699 999 851 1161 1062 855 761 743 757 802 867 902 899 874 836 778 689 599 513 454 416 338 358 326 318 351 459 571 657 782 895 918 881 921 1075 1218 1242 1176 1012 843 789 849 879 476 549 430 423 298 457 374 270 309 500 619 655 721 723 634 515 312 161 93 56 33 17 0 0 0 0 0 2 14 56 123 184 185 92 19 5 0 3 22 76 133 125 62 13 3 2 2 1 1 1 5 20 64 134 210 270 331 422 519 614 791 1124 1454 1412 1114 891 783 600 412 273 195 192 304 415 465 446 411 395 363 305 277 275 250 209 168 133 108 81 52 25 7 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 2 4 5 7 8 9 13 22 30 35 47 75 150 251 226 133 82 62 47 48 42 38 40 36 38 42 44 50 63 80 110 183 339 605 911 963 569 316 322 238 147 102 91 78 69 68 76 81 70 65 71 78 82 84 87 89 93 96 91 76 59 47 37 25 12 2 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 3 5 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 18 33 48 57 58 53 44 38 36 31 27 25 23 18 14 6 0 0 0 0 0 0 0 0 2 15 66 215 481 768 955 994 918 763 542 363 223 118 92 158 198 128 100 95 102 120 130 133 154 166 145 119 103 104 107 93 93 87 83 85 114 170 247 340 399 463 593 784 1001 1222 1420 1592 1662 1652 1712 1806 2006 2249 2535 2572 2389 2011 1672 1461 1442 1581 1603 1644 1780 1802 1867 1886 1937 2048 2183 2228 2233 2227 2210 2174 2142 2107 2074 2060 2044 2035 2028 2017 2019 2023 2016 1994 1991 1985 1966 1933 1911 1892 1848 1834 1795 1773 1714 1676 1619 1574 1527 1492 1430 1337 1257
9 9 10 9 9 8 8 6 4 2 1 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 4 5 5 6 8 10 12 14 15 15 17 21 23 21 20 21 21 21 23 25 25 24 26 26 24 23 27 26 24 25 25 27 29 30 32 31 30 28 26 24 24 25 31 34 39 45 48 50 49 47 36 32 36 35 34 32 35 42 62 79 96 105 114 119 130 134 143 152 159 172 179 181 185 188 188 149 133 131 123 114 102 90 71 52 39 31 25 21 17 14 9 2 0 0 2 1 8 15 33 43 62 78 98 119 137 152 166 166 149 152 152 128 122 104 96 86 86 88 95 103 108 113 117 123 148 248 391 454 462 591 859 1016 855 809 759 798 792 796 838 902 963 960 933 892 819 711 613 542 459 387 357 292 334 351 452 616 798 912 931 916 935 859 829 904 1022 1145 1224 1163 994 924 986 974 820 579 443 318 345 309 418 265 143 230 436 527 505 546 551 489 429 319 201 134 91 69 16 0 0 0 0 2 3 13 42 97 136 104 35 2 1 0 8 55 164 241 162 44 5 1 2 2 1 1 2 2 9 41 118 195 241 283 338 403 505 753 1170 1509 1543 1306 1005 800 653 479 337 236 196 200 231 348 433 439 424 395 345 317 301 255 203 165 130 102 77 49 25 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 4 5 7 8 12 18 24 26 32 46 58 90 159 161 117 74 49 35 49 47 47 43 36 36 40 42 49 59 70 86 123 208 384 636 780 618 486 453 359 244 133 95 80 73 74 83 87 73 65 71 78 81 82 82 81 80 81 81 77 67 61 50 41 34 14 5 1 0 0 0 0 0 0 0 0 0 0 1 3 4 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 14 31 46 55 58 57 50 46 41 35 32 30 28 25 21 19 14 4 2 0 0 0 0 0 0 2 15 80 242 481 678 756 781 727 641 518 356 205 134 126 178 183 133 114 97 89 110 122 108 101 108 114 121 121 120 110 102 108 104 95 89 106 149 207 267 313 375 504 690 866 1077 1256 1443 1628 1695 1751 1803 1983 2295 2622 2779 2537 2135 1832 1560 1401 1473 1483 1533 1626 1715 1771 1763 1762 1876 1982 2040 2051 2070 2102 2089 2080 2054 2026 2042 2034 2031 2016 2011 2006 2011 2037 2069 2076 2059 2030 1981 1929 1875 1847 1863 1816 1758 1700 1651 1607 1566 1533 1483 1405 1309 1212
8 8 8 7 8 9 9 9 7 6 4 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 2 2 4 5 4 5 6 7 8 9 10 13 17 21 22 22 21 20 19 19 22 25 25 26 28 27 26 26 23 20 23 21 25 28 31 31 31 30 28 27 27 26 26 26 25 24 29 44 45 46 42 31 25 25 25 29 33 33 38 51 63 72 76 81 80 86 88 106 116 114 116 134 165 184 189 194 181 173 155 129 117 112 104 87 66 48 38 31 26 22 18 14 8 1 0 0 0 0 6 28 35 57 73 95 114 135 149 159 167 169 159 145 133 124 104 94 81 74 75 86 98 103 108 114 123 176 317 414 459 566 780 972 944 802 733 807 857 890 928 961 991 1017 973 923 871 798 724 658 582 468 391 389 337 376 368 388 432 504 588 741 920 947 846 707 723 885 1071 1163 1084 957 960 1013 884 606 389 239 163 185 238 255 134 109 283 450 525 478 498 499 440 372 284 195 148 125 101 21 1 0 0 4 14 18 33 55 96 76 32 6 0 0 5 17 62 178 248 122 12 2 2 3 2 1 1 2 2 5 33 115 164 186 204 237 306 424 585 847 1262 1570 1431 1142 858 671 523 406 315 257 255 245 289 354 425 433 392 341 314 292 244 194 151 117 95 72 47 24 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 9 15 21 22 23 33 44 50 56 68 79 89 65 38 31 45 45 45 41 36 36 41 45 51 58 64 74 93 137 239 416 605 666 615 531 453 359 186 110 93 88 86 90 92 86 80 83 87 87 86 84 80 75 73 71 70 67 64 57 51 44 33 21 11 7 4 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 8 13 26 41 54 62 62 62 62 55 43 32 28 29 28 25 21 16 13 11 5 1 0 0 0 0 0 5 27 109 290 517 636 626 657 628 566 477 339 185 161 184 195 154 118 116 104 78 90 101 95 90 93 101 116 123 127 119 117 120 118 107 94 96 127 176 215 221 261 419 667 845 1020 1154 1315 1442 1543 1674 1795 1894 2167 2658 2881 2650 2301 2078 1829 1532 1493 1542 1533 1514 1587 1775 1708 1649 1729 1785 1780 1783 1815 1869 1888 1940 2025 2015 2035 2038 2058 2053 2038 2036 2050 2082 2119 2124 2124 2116 2101 2013 1948 1901 1856 1800 1750 1698 1645 1590 1538 1493 1448 1387 1310 1219
8 8 8 7 7 8 9 9 9 8 8 6 3 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 3 3 3 4 5 4 1 1 4 8 12 16 20 23 22 21 20 21 22 23 22 25 26 25 25 25 23 21 22 20 20 23 27 30 31 30 26 26 26 25 24 26 27 25 26 35 37 49 42 36 32 23 20 31 38 39 40 46 55 61 61 61 60 60 65 78 82 86 86 105 134 157 168 179 187 183 170 155 144 118 111 98 85 60 48 39 32 27 22 17 12 6 2 1 0 1 7 20 30 45 63 85 109 131 150 162 177 185 175 154 133 115 102 94 81 69 64 67 81 94 103 109 124 221 363 451 344 299 512 827 904 795 820 909 992 1060 1094 1088 1069 1068 1027 1010 1012 1004 934 782 686 543 479 475 412 417 338 248 214 276 339 444 582 688 687 590 664 895 1028 1054 1020 992 1001 911 680 453 280 145 114 107 129 143 91 124 270 372 487 448 370 334 303 255 193 141 117 109 80 18 0 0 3 23 41 48 55 71 75 48 14 1 0 4 5 14 49 141 187 74 5 3 4 4 3 1 0 1 3 4 18 96 140 156 149 168 221 309 430 634 1056 1470 1437 1239 948 711 562 455 368 264 258 267 319 376 436 419 388 347 303 257 205 171 135 107 88 69 49 23 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 2 2 3 8 15 19 19 22 32 40 45 49 49 52 68 58 39 36 45 43 43 42 39 41 46 48 49 52 57 65 78 101 152 258 426 625 684 526 379 292 205 142 108 95 93 93 93 94 98 100 98 94 88 86 81 73 68 66 65 62 59 55 51 48 44 36 26 16 7 2 5 1 0 1 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 3 6 8 9 18 33 42 44 52 60 63 69 71 57 41 31 26 27 26 26 21 12 6 2 0 0 0 0 0 0 1 9 45 162 387 620 689 660 643 586 472 446 344 221 206 236 214 146 115 121 120 89 90 95 95 92 93 95 104 118 131 137 137 137 132 120 105 96 103 134 171 178 240 422 675 882 1060 1193 1306 1341 1394 1523 1646 1728 1844 2085 2493 2681 2361 2296 2127 1923 1717 1711 1619 1483 1472 1493 1497 1524 1620 1640 1608 1596 1611 1659 1683 1761 1866 1944 2007 2032 2045 2056 2054 2064 2085 2106 2126 2141 2128 2108 2117 2046 1975 1911 1837 1765 1726 1673 1598 1553 1511 1442 1399 1334 1270 1224
7 8 8 7 7 7 7 8 8 9 9 9 8 5 2 1 0 0 0 0 0 0 0 1 0 1 1 1 1 2 2 2 2 2 2 2 3 3 3 2 3 5 6 7 10 15 20 21 22 21 22 24 25 21 22 22 24 24 23 23 22 21 20 19 18 20 25 26 28 24 25 26 23 21 26 28 27 29 30 33 42 41 36 31 25 21 38 43 45 46 46 52 56 55 53 51 52 56 58 60 65 72 79 109 130 135 149 175 198 189 164 157 133 116 108 95 71 57 48 39 33 26 21 17 14 10 5 2 4 11 21 31 43 59 75 100 123 148 160 168 175 167 149 122 104 97 88 76 63 56 56 70 88 102 110 127 249 343 232 97 37 103 387 744 894 946 1052 1159 1223 1242 1211 1168 1149 1128 1121 1111 1084 986 806 720 565 581 551 503 533 424 308 276 368 410 624 801 684 294 313 577 843 927 941 996 1034 999 878 698 527 366 219 148 112 100 121 104 103 190 256 343 437 410 309 224 171 131 100 85 70 39 8 0 0 7 44 74 76 66 61 72 67 35 14 7 10 10 14 52 122 135 61 20 18 22 18 20 12 14 4 2 4 8 91 134 128 92 84 191 297 341 472 841 1295 1366 1282 1024 801 639 520 453 381 358 376 424 444 434 404 357 300 263 230 181 146 121 102 85 65 37 12 1 0 0 0 0 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 8 14 17 20 26 32 40 48 52 47 45 54 51 49 51 53 49 42 42 47 51 52 51 47 41 44 53 65 79 103 156 263 447 568 476 324 231 179 137 103 86 85 86 87 96 106 100 94 90 82 83 79 72 67 61 58 57 54 51 48 45 42 37 32 24 11 3 4 2 1 5 10 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 11 14 19 26 32 37 42 48 54 61 62 42 38 33 29 26 24 22 15 7 2 0 0 0 0 0 0 0 1 14 83 272 562 823 826 678 599 530 412 376 334 276 237 225 216 184 168 148 137 121 111 103 104 105 107 109 111 119 128 145 161 164 158 140 124 109 102 109 143 187 290 486 719 913 1100 1262 1366 1404 1434 1531 1695 1806 1854 2156 2737 2825 2468 2317 2250 1942 1697 1803 1808 1617 1530 1582 1570 1524 1583 1582 1574 1558 1581 1580 1596 1660 1740 1846 1952 2000 2025 2051 2036 2029 2038 2037 2046 2066 2049 2022 2019 1986 1920 1853 1773 1675 1608 1548 1498 1447 1379 1301 1242 1192 1138 1083
6 7 9 8 8 7 6 7 7 8 9 9 9 9 8 6 3 2 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 3 3 3 5 6 5 3 4 6 11 16 20 22 24 26 27 27 24 22 24 24 24 23 22 20 21 21 19 19 21 21 22 23 24 25 24 22 26 26 25 29 31 30 31 30 27 27 28 27 42 46 46 51 51 53 51 46 42 43 45 46 48 50 52 60 64 78 89 101 119 149 161 164 162 168 157 135 121 103 85 66 57 47 39 32 27 22 18 15 12 9 11 16 20 27 36 49 65 89 114 143 162 169 175 173 152 121 101 90 79 69 62 58 58 64 78 100 115 135 243 252 99 15 0 0 26 331 733 966 1113 1261 1345 1357 1314 1249 1178 1109 1035 962 884 832 733 734 594 640 585 542 562 449 312 281 298 329 546 668 284 103 143 409 698 792 851 987 1027 876 678 559 510 440 336 238 133 112 134 113 100 124 167 241 389 474 396 275 179 121 86 63 37 12 1 0 0 10 57 120 127 87 65 74 87 78 55 44 39 27 27 71 120 114 72 54 73 108 106 90 68 73 26 3 2 7 81 113 91 61 43 72 206 313 375 668 1101 1271 1285 1120 870 740 620 566 522 491 482 498 466 410 367 318 280 239 200 170 134 111 95 76 51 25 6 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 1 1 2 5 14 18 17 23 31 35 42 53 55 51 49 50 50 54 58 57 54 43 41 50 55 54 53 44 30 33 40 51 63 80 105 165 272 388 404 323 225 144 106 98 92 86 81 84 96 102 88 81 79 75 77 77 72 64 55 51 50 49 48 44 40 35 32 28 17 6 2 3 4 3 8 13 20 7 4 3 3 1 0 0 0 0 0 1 1 0 0 1 3 2 1 2 3 5 7 9 13 18 26 33 36 40 45 47 48 50 38 36 36 32 27 23 17 9 4 1 0 0 0 0 0 0 0 2 30 156 435 818 1160 1051 692 535 505 419 330 311 307 247 196 216 235 239 204 183 178 168 148 147 161 174 183 172 165 179 194 221 247 245 190 159 137 122 111 125 178 281 444 677 909 1121 1308 1424 1470 1457 1563 1808 2009 2103 2334 2883 2846 2475 2212 2336 2288 1978 1973 2052 2015 1748 1909 1852 1708 1658 1671 1652 1621 1624 1609 1607 1624 1651 1746 1858 1920 1971 2034 1975 1965 1948 1919 1900 1908 1891 1852 1821 1792 1742 1665 1576 1485 1416 1359 1305 1238 1157 1085 1038 1003 973 948
7 8 10 10 10 9 7 7 7 7 7 7 8 8 8 7 6 5 3 2 0 0 1 0 0 0 0 0 1 1 1 1 2 2 3 3 2 3 3 3 3 4 5 3 2 2 5 10 15 19 21 24 27 27 27 26 25 24 23 22 22 21 22 22 22 23 22 20 19 20 23 23 24 22 22 25 24 22 24 25 26 24 23 26 27 28 33 40 40 54 60 59 52 42 35 34 34 35 38 41 43 44 44 49 62 73 87 114 129 145 158 169 160 148 139 117 91 73 64 54 45 37 32 27 21 19 17 15 15 16 19 24 32 42 57 80 107 136 158 170 179 176 148 116 96 81 69 62 58 55 52 53 66 94 123 154 214 204 53 4 0 0 0 161 505 817 1062 1291 1422 1429 1380 1307 1223 1138 1045 964 895 854 813 797 684 621 556 501 487 428 373 366 350 392 441 246 90 83 122 270 531 641 742 893 936 727 470 323 269 273 280 225 142 150 164 98 99 109 129 165 238 309 356 301 192 115 71 38 14 2 0 0 0 9 59 161 219 172 124 116 113 115 107 95 72 43 45 87 119 107 87 100 147 199 213 190 168 170 80 8 0 11 71 94 79 62 42 28 111 213 291 553 964 1169 1164 1043 887 783 688 658 681 717 630 538 452 378 330 283 238 198 176 162 129 101 92 73 47 21 6 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 3 8 15 18 17 21 29 36 45 54 54 51 54 56 55 49 59 60 57 49 44 48 51 47 41 31 24 24 30 38 49 65 82 117 175 254 321 312 234 152 112 101 94 86 84 90 97 94 83 75 74 73 73 79 75 59 54 50 48 44 42 39 35 31 28 22 13 8 7 8 10 14 13 12 18 16 12 10 9 7 5 4 3 1 1 1 2 1 1 1 1 1 1 1 4 6 8 10 13 20 28 33 35 39 43 44 43 42 37 36 38 35 32 24 15 7 2 1 0 0 0 0 0 0 0 5 54 245 596 1083 1392 1179 772 559 522 480 388 347 344 282 243 278 309 296 274 263 260 250 244 261 277 312 365 358 315 298 313 355 412 394 311 241 182 145 122 113 144 228 372 558 768 1050 1316 1459 1550 1511 1551 1752 2173 2422 2626 2839 2772 2481 2320 2649 2881 2561 2283 2261 2437 2101 2140 2096 1964 1865 1860 1826 1760 1719 1696 1678 1672 1655 1707 1773 1839 1879 1930 1924 1877 1835 1794 1740 1685 1641 1590 1537 1487 1439 1373 1287 1211 1163 1111 1059 1018 970 908 872 858 854 858
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8 10 14 16 16 14 13 16 19 22 27 29 34 50 64 73 72 71 71 71 71 78 84 78 70 63 58 56 53 47 42 41 41 43 45 50 53 55 58 61 64 71 82 90 99 103 104 105 112 120 131 140 141 140 148 158 148 114 116 133 149 160 171 197 227 239 250 265 280 288 290 280 277 292 368 460 532 579 560 500 434 370 344 392 473 506 406 358 364 371 352 318 292 299 309 287 241 162 88 68 63 54 34 18 9 3 1 0 0 0 0 0 0 0 0 0 0 0 2 3 6 12 18 22 24 24 26 37 64 127 231 312 318 250 154 75 27 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 32 52 85 101 151 201 245 307 379 431 430 428 436 446 454 456 450 432 410 386 363 333 299 267 239 214 191 176 165 160 160 161 165 168 169 173 180 192 206 223 245 265 291 311 326 341 357 368 373 383 395 411 410 401 398 391 400 394 395 403 415 430 439 435 459 462 458 459 465 477 491 498 500 520 530 516 504 519 590 642 646 620 605 625 661 653 626 604 582 545 512 524 559 599 657 704 717 702 695 729 800 838 798 728 703 720 749 794 885 959 943 838 710
4 6 11 13 14 14 13 13 15 16 18 26 37 56 71 78 79 79 79 78 77 82 92 82 70 64 59 55 50 46 44 44 45 46 49 51 54 61 69 75 78 83 93 108 128 139 144 146 148 147 151 153 153 156 167 178 172 149 132 146 159 170 183 204 225 234 240 253 265 272 274 260 238 264 385 498 597 643 600 504 423 378 398 490 557 517 382 376 417 426 391 327 271 251 260 242 189 135 86 59 48 39 25 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 3 10 15 20 25 28 29 31 38 60 105 187 284 336 317 222 125 59 22 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 17 45 78 117 154 200 256 327 427 458 458 444 445 460 474 481 476 466 450 434 411 383 356 329 306 284 266 250 237 226 217 214 213 212 214 218 227 242 258 281 305 327 347 363 376 391 404 410 413 428 442 441 429 434 408 413 410 415 425 431 431 449 459 471 466 461 471 478 492 504 509 509 519 534 533 520 526 570 602 615 613 610 648 694 676 624 611 619 603 582 575 584 628 699 755 769 767 799 844 874 858 819 798 815 830 805 810 857 883 847 763 672
3 4 7 9 12 13 12 12 12 13 9 14 25 40 56 68 74 79 85 88 89 94 100 93 79 71 65 58 52 51 53 54 52 54 57 61 62 69 81 90 94 98 108 124 145 164 177 193 201 198 189 178 167 164 170 178 173 155 146 161 164 169 183 199 211 218 223 244 274 282 279 275 279 356 498 591 661 686 653 584 525 509 536 586 598 514 396 399 463 465 409 335 271 240 240 229 177 128 84 51 36 27 15 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 26 32 36 40 44 51 67 101 165 251 320 336 289 186 92 41 17 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 45 75 110 156 196 266 362 477 559 550 488 475 472 480 489 492 488 480 467 450 431 409 391 374 359 343 324 304 286 275 265 259 256 258 265 278 293 314 336 358 377 395 407 422 438 447 451 460 473 470 452 448 425 424 437 450 448 438 429 441 459 471 475 469 465 464 487 498 500 502 506 518 535 530 527 544 576 602 608 619 673 720 707 684 687 676 645 628 601 604 651 718 770 795 880 955 946 863 770 741 843 922 911 854 815 805 801 782 731 674
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2 3 4 4 5 6 5 5 4 5 7 9 12 15 32 54 66 74 84 94 102 111 121 128 128 121 110 97 83 71 65 65 66 69 70 70 72 85 106 128 150 166 177 188 200 209 224 260 311 344 339 312 274 237 207 189 181 178 175 170 162 156 157 152 158 170 181 193 215 241 271 373 549 689 734 720 700 712 717 703 675 642 608 573 559 506 454 440 447 443 411 370 325 285 256 222 167 97 43 32 25 14 5 1 0 0 0 1 2 1 0 0 0 0 0 0 0 3 16 42 64 77 84 90 96 110 139 192 276 320 319 282 214 132 65 25 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 24 49 76 113 157 217 279 322 371 444 467 470 474 483 494 511 527 532 534 534 530 524 518 508 489 468 444 420 397 375 360 350 348 352 359 369 382 400 418 433 448 464 481 496 507 515 512 516 515 505 491 482 478 475 481 491 498 505 510 507 504 484 494 519 522 505 490 483 480 481 512 542 558 571 568 579 605 623 643 694 753 738 660 624 650 675 669 667 699 727 782 876 979 1024 945 761 756 914 1109 1188 1116 961 808 706 659 632 602 570
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