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 4 4 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 6 6 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 4 4 4 3 2 2 3 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 4 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 8 11 14 13 7 1 -0 0 1 3 7 10 10 6 3 4 7 10 14 15 11 6 5 9 10 9 6 3 3 4 6 7 8 9 9 8 7 9 10 9 7 5 6 9 12 12 11 9 10 12 12 11 9 7 6 5 6 8 9 6 2 2 6 8 6 1 -1 -0 2 4 3 1 -3 -8 -11 -10 -8 -7 -6 -5 -5 -8 -13 -18 -19 -12 -3 5 9 9 8 6 5 4 5 8 11 8 3 1 2 3 4 4 4 4 4 4 4 4 4 4 3 3 4 6 10 13 12 8 5 2 1 2 3 4 5 6 6 6 6 7 7 8 8 10 14 17 14 8 3 2 3 2 2 3 3 4 4 4 5 6 6 7 7 6 6 6 5 5 5 5 4 -0 -5 -6 -4 -1 -0 -1 1 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 7 13 18 19 15 8 3 2 3 3 2 2 1 1 1 2 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 6 6 6 7 7 8 8 7 7 7 7 7 7 8 8 9 10 10 9 7 5 3 2 1 3 6 10 11 12 12 12 9 6 4 4 5 6 6 5 5 5 5 7 8 6 4 3 6 11 12 9 3 -2 -3 -1 2 6 10 14 15 16 16 17 16 15 15 15 15 15 17 18 18 17 15 15 14 14 14 14 14 14 13 13 13 13 12 10 8 8 8 7 7 7 7 8 9 8 6 5 3 2 2 3 3 3 4 6 7 6 4 3 2 3 4 5 5 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 6 6 5 4 3 nan
nan 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 3 3 2 2 2 3 3 3 4 4 4 4 4 3 3 2 3 3 3 3 3 3 4 4 4 4 3 2 2 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 9 12 14 11 5 3 2 1 3 6 9 9 6 3 5 8 10 11 12 10 7 5 5 6 4 3 2 3 4 5 6 7 7 7 7 7 9 10 10 7 6 6 8 11 12 11 8 7 6 6 5 3 3 2 2 3 6 7 5 3 3 5 7 6 3 0 0 3 4 2 -0 -5 -10 -13 -11 -8 -5 -3 -2 -4 -10 -16 -16 -10 -4 2 7 10 10 7 5 4 4 4 4 4 2 -1 -1 1 3 4 4 4 4 4 4 4 5 5 5 4 4 3 5 9 16 17 14 8 4 2 2 2 3 4 5 6 7 7 7 7 7 8 10 15 20 18 12 7 5 4 3 2 2 3 3 4 4 4 5 5 6 6 6 6 6 7 6 5 4 4 2 -1 -3 -2 1 1 -2 -2 1 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 6 8 10 10 9 6 3 2 3 3 3 1 -0 -1 0 2 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 4 5 5 6 7 7 8 8 9 9 8 8 7 7 7 7 7 8 8 9 9 7 4 3 2 0 0 1 3 5 8 10 11 11 9 6 4 3 4 4 4 5 6 7 6 6 6 6 6 6 7 9 11 10 8 6 5 8 10 11 12 13 13 14 15 16 17 17 17 16 15 15 15 15 14 14 14 13 13 12 12 12 11 11 10 10 9 9 7 6 6 6 6 5 6 7 8 9 9 8 6 5 3 2 2 3 2 1 3 6 7 6 4 2 2 4 5 5 5 4 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 4 3 3 nan
nan 4 4 4 4 3 3 3 4 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 4 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 4 3 3 2 2 3 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 2 3 4 4 4 3 3 2 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 4 4 5 5 4 3 3 3 3 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 6 6 6 6 6 7 7 7 7 10 14 14 9 6 5 4 4 6 7 7 5 4 5 7 8 8 8 7 6 5 4 3 2 1 2 3 4 4 4 5 6 6 5 5 6 8 8 6 5 7 8 11 12 12 9 6 3 1 1 1 1 1 1 3 5 6 5 4 4 4 4 5 4 3 3 3 1 -1 -5 -8 -9 -10 -8 -4 -1 1 -1 -8 -15 -16 -11 -3 2 5 9 12 11 7 5 4 4 3 2 1 -0 -1 -1 1 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 7 14 18 16 10 5 3 3 3 3 4 5 6 7 7 7 6 6 7 8 13 18 18 12 9 10 9 6 4 3 3 3 4 4 4 5 5 5 5 5 5 7 7 7 5 5 4 3 2 -1 -2 1 3 -0 -3 -1 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 4 2 3 4 3 1 -1 -2 -1 2 3 2 2 2 2 2 2 2 2 3 3 2 3 3 4 5 6 7 7 8 8 8 9 9 9 9 8 7 6 7 7 7 7 7 8 7 5 3 2 1 0 1 2 3 4 6 7 9 9 8 6 5 4 5 4 5 6 8 8 6 3 3 5 7 7 6 5 5 8 11 13 13 14 14 14 13 11 11 11 12 14 15 15 15 15 14 14 13 13 13 12 12 12 12 11 11 10 10 9 9 8 7 7 6 5 5 4 4 4 5 7 8 9 9 8 6 4 3 2 2 2 1 1 3 6 7 5 3 2 3 4 5 5 4 4 3 4 5 5 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 nan
nan 4 4 4 4 4 4 4 4 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 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 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 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 4 3 3 3 3 4 3 2 2 3 3 3 3 4 4 4 4 3 3 3 3 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 6 6 6 6 6 7 7 7 7 8 11 13 11 8 8 8 6 5 5 5 5 4 5 6 6 5 4 4 4 5 4 2 1 2 2 3 4 4 4 5 6 6 5 5 4 5 5 3 3 5 7 9 10 11 10 7 4 2 2 2 3 2 3 3 4 5 5 4 2 1 1 3 4 5 4 2 -2 -6 -9 -9 -8 -6 -4 0 3 1 -6 -14 -16 -12 -5 1 4 6 10 13 11 8 5 5 4 4 3 2 1 1 1 2 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 10 14 13 8 3 2 3 4 4 4 5 6 8 8 8 6 6 6 6 9 15 15 10 7 11 11 9 6 5 4 4 4 5 6 6 6 6 5 5 5 6 8 7 6 5 4 4 4 2 -1 -1 2 2 0 0 2 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 4 5 4 3 1 -1 -0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 6 7 8 9 9 8 8 8 9 9 9 9 8 6 6 6 6 6 6 6 5 4 3 2 2 3 4 5 6 6 6 7 7 7 6 6 6 6 6 6 6 7 8 7 5 2 3 5 7 6 5 5 5 9 15 18 15 12 12 12 11 9 8 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 8 7 6 6 6 5 5 4 3 3 4 6 7 8 9 8 7 5 4 3 3 3 2 1 2 4 6 7 5 3 3 4 5 5 4 3 3 4 5 5 5 4 3 3 3 3 3 4 4 4 4 3 3 4 4 4 3 3 3 nan
nan 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 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 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 4 4 5 5 5 5 4 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 6 6 7 9 11 10 10 12 12 8 6 6 5 4 3 3 3 3 3 3 4 4 4 3 2 2 3 4 4 5 5 5 5 5 6 5 4 3 2 3 3 3 3 4 6 6 7 7 6 5 4 4 4 4 4 3 3 2 3 4 3 0 -2 -2 1 3 4 1 -3 -7 -10 -10 -8 -5 -3 0 3 4 -1 -10 -14 -11 -6 -0 3 5 8 11 13 12 8 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 7 3 -0 -0 1 3 4 5 6 7 8 10 10 8 6 5 5 7 12 15 9 5 6 9 8 8 7 6 5 5 6 7 6 6 6 6 6 6 6 8 8 8 7 6 6 6 4 1 -2 -2 -0 1 2 3 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 5 5 3 1 0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 3 5 7 9 10 10 9 8 8 8 8 8 8 8 7 6 5 5 4 3 3 3 3 3 3 2 3 5 6 6 5 6 7 7 7 6 6 6 6 6 6 7 7 8 9 8 5 4 5 7 8 6 5 6 9 16 20 18 12 8 8 10 10 7 6 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 5 5 5 5 4 3 2 3 5 7 8 9 9 8 6 4 4 4 4 3 2 2 3 6 7 6 5 4 4 5 5 5 4 3 4 4 5 5 5 4 3 3 3 3 4 4 4 4 3 3 3 4 4 3 3 3 3 nan
nan 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 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 2 2 3 3 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 4 4 4 4 4 5 5 4 4 4 3 3 3 4 3 3 3 2 1 1 1 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 7 7 8 9 10 11 14 14 11 9 9 7 4 2 2 2 2 2 2 3 4 3 2 2 4 6 7 7 7 7 7 6 5 4 4 3 2 2 4 6 7 5 4 4 4 4 5 6 6 5 4 3 3 4 3 2 0 1 3 4 2 -0 -1 1 2 0 -4 -8 -11 -10 -7 -5 -2 1 3 5 3 -5 -11 -11 -5 0 4 6 8 11 14 14 11 8 5 5 5 5 6 7 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 7 4 1 -1 -2 -1 0 2 5 7 8 8 8 10 11 11 8 7 6 7 11 15 11 5 3 5 5 6 7 6 5 5 6 6 6 6 6 6 6 6 6 7 9 9 8 7 7 7 6 4 0 -4 -5 -2 2 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 7 7 6 5 4 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 3 4 6 9 10 11 10 9 8 7 7 7 6 5 5 5 5 4 3 2 0 -1 -1 -0 1 1 1 2 4 5 4 3 4 5 6 7 6 6 7 7 7 6 7 8 9 9 9 7 7 9 10 10 8 7 8 13 18 18 13 6 4 6 10 9 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 6 5 4 4 5 5 4 3 3 4 6 7 9 9 9 7 5 4 4 5 4 2 1 2 5 7 6 5 5 4 5 5 5 5 4 4 4 5 5 5 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 3 3 3 2 nan
nan 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 3 2 -0 -0 1 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 2 2 1 1 1 1 1 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 8 8 9 11 12 12 12 13 14 13 9 4 3 3 3 2 1 2 3 4 4 3 4 6 8 10 10 10 9 8 7 6 5 4 3 2 3 7 10 11 8 6 5 5 5 6 6 5 4 2 0 0 2 4 3 0 -1 3 5 5 4 3 3 0 -4 -8 -11 -11 -7 -4 -2 1 4 6 5 -1 -9 -12 -7 1 7 11 14 16 17 17 14 10 7 5 5 5 5 6 7 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 7 8 9 8 4 0 -2 -2 -0 1 2 5 9 11 10 9 9 10 12 11 10 8 8 12 16 15 8 4 3 3 4 5 6 6 5 6 6 5 5 5 6 6 6 6 7 8 8 8 7 8 8 8 7 5 -2 -8 -6 1 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 4 4 4 6 7 7 7 6 4 3 1 2 2 3 2 2 2 2 2 2 2 2 2 2 3 5 7 10 11 11 9 8 7 7 7 7 5 3 2 2 4 4 2 -0 -2 -3 -2 -1 1 1 1 1 3 4 3 3 5 6 6 7 6 6 7 8 7 7 7 7 8 9 10 10 10 11 11 11 10 10 12 16 17 13 6 0 0 5 8 7 5 5 5 5 6 7 6 6 7 8 9 8 8 8 8 8 7 8 7 7 7 6 5 5 4 4 5 4 4 3 3 4 6 8 9 9 7 5 3 2 5 7 5 1 1 3 5 6 5 4 4 5 5 5 5 5 4 4 5 5 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 4 4 3 3 2 2 nan
nan 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 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 3 4 4 4 4 5 5 4 4 4 5 5 5 5 5 4 2 -0 -2 -1 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 2 2 1 1 0 1 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 8 8 9 10 12 12 12 13 15 14 10 7 7 7 5 3 1 2 4 6 7 7 7 7 8 10 11 11 9 8 7 8 8 7 7 7 8 10 12 11 9 7 6 7 7 7 6 5 4 2 -0 -1 1 4 5 2 -1 1 4 6 6 6 4 0 -4 -8 -10 -7 -3 -1 2 6 8 8 4 -4 -12 -9 0 11 20 27 29 29 25 20 14 9 6 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 6 2 0 -0 1 2 3 5 10 14 12 8 7 8 10 11 11 10 9 12 18 19 13 8 5 3 3 4 5 5 5 5 6 5 5 5 6 5 5 5 6 6 6 5 6 7 8 8 9 8 2 -7 -7 -1 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 4 4 4 5 7 8 8 9 7 5 4 3 3 3 2 2 3 2 2 2 2 2 2 2 3 5 7 10 12 11 8 7 7 8 8 7 4 2 0 1 2 3 1 -2 -4 -4 -2 1 3 3 2 2 3 4 4 4 6 7 7 7 6 6 7 8 8 7 6 6 6 8 11 12 11 10 10 10 10 12 15 18 16 10 2 -3 -1 4 6 6 5 3 2 1 1 2 3 4 6 8 8 8 8 8 7 7 7 7 7 6 6 5 5 5 4 4 5 4 4 3 4 5 7 8 8 7 6 3 1 2 7 9 5 1 0 3 4 4 3 3 4 5 5 5 5 5 5 4 5 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 3 3 2 2 2 nan
nan 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 4 4 4 5 5 5 5 4 1 -1 -1 1 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 5 4 4 3 4 4 5 5 6 6 6 5 5 4 3 3 3 3 3 4 5 5 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 2 1 1 0 -0 -0 0 1 1 2 2 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 8 8 8 9 11 13 13 12 12 11 9 8 8 7 4 2 0 1 4 7 9 10 10 8 6 7 8 9 8 7 6 7 8 9 10 13 15 14 12 9 7 5 5 7 8 8 7 5 4 3 1 -0 1 3 4 1 -1 -1 3 5 5 4 2 0 -2 -4 -5 -3 -0 3 7 9 9 7 1 -7 -10 -3 8 21 33 42 45 41 32 22 14 9 7 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 8 6 4 4 4 3 3 4 8 13 12 7 5 5 6 8 8 8 8 11 16 20 18 15 10 6 4 4 4 5 5 5 5 5 5 6 6 6 5 4 5 6 5 5 6 7 7 8 10 9 4 -4 -7 -1 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 6 6 5 4 4 5 7 8 9 11 11 9 6 4 3 3 2 2 3 3 2 2 2 2 2 2 3 4 7 9 11 10 8 8 8 8 8 7 6 3 1 1 2 1 -1 -4 -5 -4 -1 3 5 5 4 3 4 5 4 4 4 5 5 6 6 6 7 7 7 6 5 4 6 8 11 12 11 9 8 7 9 12 15 16 14 8 1 -2 -0 4 6 6 5 4 4 3 2 1 2 2 4 7 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 4 4 5 6 7 8 8 6 4 1 0 4 8 8 5 1 0 3 4 4 2 3 4 5 5 5 5 5 4 4 4 4 4 4 5 4 4 3 3 4 4 4 4 3 3 4 4 4 3 3 2 2 2 nan
nan 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 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 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 5 5 4 2 -0 -1 1 4 4 3 4 5 4 4 3 3 4 4 5 5 4 4 5 5 6 6 5 5 4 4 4 4 4 4 5 5 6 6 7 7 6 5 4 3 3 3 4 5 6 6 6 6 5 4 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 2 1 0 -0 -1 -1 -0 0 1 2 2 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 8 8 8 8 8 8 8 10 11 11 9 7 6 6 7 5 3 2 1 1 0 2 5 8 9 9 7 4 3 5 7 8 6 3 2 2 4 7 12 14 13 9 7 5 4 4 5 8 9 8 6 5 3 2 1 2 3 2 0 -1 2 4 4 1 -1 -0 1 1 -1 -2 0 3 6 9 8 6 3 -3 -10 -8 2 13 24 34 42 45 42 33 23 16 12 9 7 6 5 5 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 9 8 6 4 4 7 9 8 4 3 4 4 4 4 5 5 6 10 14 17 18 17 12 9 7 6 7 7 6 5 5 5 6 7 6 5 5 6 7 6 6 6 6 6 7 9 8 4 -3 -6 -1 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 6 5 5 5 5 6 8 10 11 11 10 7 4 3 3 2 3 3 3 2 2 2 2 2 3 3 4 6 8 9 9 8 8 8 9 9 8 7 5 3 2 1 -0 -2 -3 -3 -1 2 4 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 5 5 4 4 6 8 11 12 11 8 6 6 8 10 11 12 10 6 1 -1 1 5 7 6 6 7 10 11 12 11 8 7 7 8 8 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 6 7 8 7 5 3 1 1 5 8 8 5 2 1 4 5 4 2 3 4 4 5 5 6 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 4 3 3 3 2 3 nan
nan 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 5 5 5 5 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 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 3 2 0 1 2 4 4 3 4 5 5 4 3 3 4 5 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 4 4 4 4 5 6 6 6 5 4 3 3 2 2 2 3 3 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 2 1 -0 -1 -1 -1 -1 -0 0 1 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 8 8 8 8 8 9 9 9 8 7 6 5 4 4 4 1 -0 1 2 2 2 2 2 3 4 6 6 4 2 3 6 8 7 3 -1 -2 1 3 6 7 7 5 4 3 3 3 4 6 8 8 7 6 4 3 3 4 5 4 2 2 6 7 3 -3 -5 0 5 6 3 2 3 5 7 6 4 2 -1 -7 -12 -6 5 14 19 22 25 27 28 26 23 20 17 14 11 8 7 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 8 9 10 9 8 7 7 7 4 3 3 4 4 4 3 3 3 3 4 7 10 14 16 16 15 14 13 11 10 9 8 7 6 7 6 6 4 5 8 9 8 7 7 6 6 7 8 7 2 -4 -5 -1 3 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 7 9 10 9 8 5 3 2 3 3 4 4 4 3 2 2 2 3 3 3 3 4 6 7 7 7 7 8 8 8 8 7 6 4 1 0 -1 -1 -1 1 3 5 6 5 4 5 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 6 7 8 9 10 8 6 5 5 7 8 9 9 8 5 2 1 3 5 6 6 7 9 12 16 17 17 15 13 12 10 9 8 7 7 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 6 7 7 6 5 3 2 2 5 7 8 5 3 3 5 5 4 3 4 4 4 5 6 6 5 5 5 5 5 4 4 4 4 3 2 3 3 4 4 3 4 4 4 4 3 3 3 3 3 4 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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11 9 7 9 11 13 15 17 17 16 16 16 14 14 14 14 14 14 17 22 28 34 37 38 41 46 50 49 45 42 42 43 46 47 47 47 43 36 35 43 45 48 41 33 28 25 22 19 17 18 23 22 19 19 20 18 13 9 11 12 15 18 24 24 22 21 22 23 23 20 19 21 24 22 19 18 18 17 18 17 15 15 15 15 14 14 15 14 12 12 12 12 12 12 11 11 10 8 7 7 7 7 6 4 3 2 1 0 0 0 0 0 0 1 2 2 1 1 1 1 1 0 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 9 101 384 875 1243 1444 1583 1595 1565 1541 1454 1277 1043 790 455 151 26 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 6 8 10 11 10 10 12 16 18 20 22 24 25 25 26 26 26 24 24 24 24 25 26 27 26 25 24 22 20 19 20 19 17 14 14 15 14 12 10 10 9 8 8 8 5 4 5 8 14 17 19 20 21 22 24 26 27 27 26 29 32 34 35 34 33 33 33 32 32 31 30 29 26 23 20 19 17 16 15 14 13 12 10 8 7 6 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 8 27 146 439 814 1030 1035 1066 1084 954 878 924 973 985 990 976 957 924 878 836 798 788 908 1061 1186 1311 1411 1501 1696 1962 2120 2050 1975 2311 2556 2516 2524 2861 3250 3295 3025 2631 2327 2341 2669 3113 3206 3159 3236 3314 3413 3478 3482 3484 3551 3569 3576 3614 3667 3689 3634 3481 3262 3060 2878 2641 2379 2125 1766 2105 2421 2622 2912 3245 3310 3078 3152 3043 2993 2977 2925 2842 2712 2586 2476 2354 2218 2051 1872 1754 1633 1581 1575 1640 1764 1936 2209 2581 2892 3143 3393 3043 2595 2556 2752 2920 2928 2928 3016 3028 2907 2679 2333 2044 1883 1813 1838 1971 2075 2118 2205 2288 2371 2441 2505 2532 2503 2415 2270 1955 1865 1929 2125 2300 2394 2461 2528 2593 2668 2677 2794 2842 2840 2904 3037 3069 2989 2918 2864 2841 2857 2884 2896 2958 3101 3173 3105 3078 3089
8 6 7 9 11 12 15 16 16 16 15 14 13 13 13 13 13 13 14 16 20 24 27 30 37 44 48 45 41 38 40 42 46 48 49 46 43 41 40 43 43 45 36 28 26 22 20 19 20 26 31 29 23 19 17 14 11 10 13 14 16 14 21 23 21 21 22 24 23 21 21 24 25 21 19 19 19 18 17 15 15 15 15 15 15 14 14 13 12 12 12 12 12 11 11 9 8 8 8 8 7 4 4 2 1 1 0 0 0 0 0 0 1 1 2 2 1 1 1 1 1 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 2 30 246 669 1100 1344 1460 1555 1531 1488 1433 1252 1006 696 371 153 38 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 3 7 10 10 10 10 11 12 15 18 22 23 24 24 24 23 23 23 23 23 25 25 26 25 24 23 21 19 19 19 17 16 15 12 15 14 12 11 10 9 9 9 7 5 5 4 7 13 18 19 21 24 26 27 28 28 26 27 31 34 36 36 34 33 32 32 31 30 29 28 29 26 23 21 19 18 17 16 15 14 13 11 8 7 6 5 4 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 2 5 21 142 490 813 928 948 993 987 917 891 895 913 926 930 925 906 872 831 812 874 997 1124 1237 1340 1451 1549 1675 1895 2120 2092 1935 2098 2384 2437 2345 2554 2985 3080 2764 2327 2049 2128 2544 3176 3316 3265 3182 3154 3245 3385 3447 3498 3589 3592 3586 3606 3636 3644 3635 3525 3307 3067 2832 2570 2217 2137 2041 2461 2982 3196 3141 3208 3514 3200 3129 3129 3102 3062 3033 2987 2901 2767 2614 2478 2337 2170 1993 1858 1737 1619 1541 1559 1645 1748 1874 2053 2304 2616 3083 3258 3117 2813 2662 2818 2866 2836 2801 2840 2880 2802 2582 2322 2074 1899 1879 1983 2054 2116 2143 2180 2261 2360 2453 2498 2487 2467 2516 2400 2283 2258 2364 2470 2501 2526 2524 2557 2704 2738 2800 2856 2880 2970 3121 3166 3169 3132 2976 2903 2862 2829 2792 2829 3003 3178 3152 3107 3100
7 6 7 9 11 12 14 16 17 17 16 15 14 15 15 15 16 16 15 14 16 19 24 26 32 40 44 42 39 37 39 42 45 48 50 48 46 40 34 32 33 37 35 37 32 28 23 21 24 29 31 28 29 23 15 11 10 12 15 18 17 13 15 22 23 24 25 25 23 22 22 24 23 20 19 19 18 17 16 14 15 14 14 14 13 12 12 11 11 11 11 11 10 9 8 7 8 8 7 6 3 2 1 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 5 108 482 941 1250 1385 1421 1424 1378 1314 1181 929 602 283 89 20 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 5 3 4 6 8 9 10 11 11 12 14 18 20 23 23 22 20 20 21 22 22 23 24 24 24 24 23 21 19 19 18 17 16 15 15 17 15 12 11 11 11 10 10 10 7 5 5 6 11 17 18 22 27 29 29 31 31 28 30 32 32 33 34 32 31 31 30 29 27 26 27 27 25 23 22 21 20 18 17 17 15 14 12 11 9 7 6 5 4 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 31 244 565 790 864 904 985 969 931 912 887 861 853 861 873 862 820 845 981 1093 1208 1341 1470 1534 1581 1668 1834 2066 2074 1963 2085 2061 2025 2245 2664 2988 2939 2537 2078 1860 1968 2542 3122 3324 3277 3142 3057 3169 3428 3475 3532 3547 3556 3588 3621 3634 3617 3586 3525 3387 3141 2817 2534 2190 2095 2143 2386 2752 2969 2899 2864 3337 3416 3199 3156 3144 3137 3130 3106 3051 2963 2837 2678 2481 2334 2210 2041 1882 1745 1643 1602 1590 1599 1704 1781 1934 2160 2565 3063 3399 3249 2858 2797 2770 2771 2667 2676 2750 2774 2713 2582 2368 2113 2026 2008 1998 2012 2035 2085 2179 2329 2467 2533 2523 2460 2478 2542 2546 2485 2462 2517 2577 2676 2682 2658 2731 2779 2776 2749 2771 2913 3019 3027 3140 3182 3082 2954 2889 2872 2808 2819 3007 3191 3121 3018 2909
6 7 8 10 11 13 15 17 19 19 19 19 19 19 19 19 18 18 17 16 16 19 21 25 30 38 40 41 38 37 36 37 39 42 44 43 42 38 35 36 47 54 53 50 41 37 29 27 30 32 28 24 24 22 14 11 14 17 20 21 18 13 11 18 24 24 25 25 24 24 24 22 20 20 20 19 17 16 15 14 14 13 12 11 11 11 11 12 11 9 9 9 9 8 7 9 8 7 6 5 3 2 2 3 3 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 13 318 786 1148 1304 1302 1243 1182 1102 973 811 473 174 42 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 3 3 3 3 5 7 9 11 12 12 13 14 16 19 19 18 17 17 18 19 20 22 23 23 23 23 22 20 19 18 17 16 15 14 15 16 14 12 11 11 11 11 11 11 9 7 6 7 10 14 17 23 28 29 30 32 30 31 32 33 32 32 32 31 30 28 28 28 27 26 26 25 24 23 23 24 22 19 18 17 15 15 13 11 8 7 6 5 4 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 7 94 316 597 771 832 916 942 935 923 906 877 832 810 836 845 833 929 1068 1175 1279 1422 1532 1531 1531 1638 1759 1857 1898 1860 2004 1931 1828 2082 2639 3065 2988 2522 2012 1910 2280 2850 3216 3284 3192 3104 3081 3168 3422 3525 3549 3537 3538 3580 3619 3626 3602 3553 3501 3436 3210 2901 2572 2207 1999 1989 2103 2276 2410 2403 2438 2869 3439 3326 3213 3200 3208 3199 3181 3158 3117 2981 2823 2674 2507 2373 2221 2057 1940 1823 1697 1623 1565 1601 1653 1725 1852 2099 2516 3096 3404 3253 2957 2756 2736 2674 2628 2641 2676 2704 2687 2581 2405 2274 2123 2006 1987 2026 2059 2116 2221 2380 2546 2602 2537 2428 2415 2531 2580 2559 2529 2574 2720 2821 2845 2845 2807 2700 2636 2667 2788 2849 2849 2939 3002 2948 2841 2863 2957 3015 2981 3096 3159 3007 2789 2617
6 7 9 11 12 14 16 18 19 21 21 22 23 22 22 22 20 19 19 19 20 23 27 28 31 35 36 39 38 37 34 34 35 37 39 40 41 43 48 51 62 65 64 58 47 38 34 32 34 30 24 18 16 15 15 18 23 22 23 21 17 12 13 19 24 24 26 26 28 30 27 23 21 21 21 19 18 17 15 14 13 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 7 6 6 5 4 3 3 3 3 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 13 97 657 1072 1250 1220 1073 919 814 731 604 422 140 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 5 8 11 13 14 14 14 15 16 16 16 16 17 18 19 20 22 22 22 22 21 19 17 17 17 15 13 12 13 15 15 12 11 11 11 11 11 10 9 9 8 9 11 13 18 25 29 30 32 31 30 32 33 36 35 33 32 30 28 26 26 26 25 24 24 25 25 25 24 23 21 18 16 15 14 13 11 9 7 7 6 4 3 3 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 20 115 344 602 756 868 913 914 901 855 833 844 818 836 839 866 1002 1137 1221 1349 1496 1545 1491 1467 1538 1595 1553 1633 1747 1851 1785 1722 1953 2530 3072 3016 2533 2142 2304 2810 3280 3457 3351 3128 3044 3080 3177 3306 3426 3538 3524 3530 3564 3589 3594 3576 3544 3505 3465 3301 3058 2697 2308 1972 1772 1782 1886 1979 1985 2060 2193 2959 3319 3307 3278 3253 3220 3212 3187 3170 3095 3002 2872 2680 2504 2392 2261 2113 1979 1826 1705 1606 1574 1611 1642 1666 1796 2058 2499 3006 3314 3183 2911 2765 2725 2682 2612 2612 2623 2624 2600 2564 2483 2304 2117 2039 2039 2068 2045 2053 2177 2371 2548 2624 2527 2374 2408 2491 2595 2596 2610 2692 2804 2913 2951 2865 2629 2568 2700 2800 2791 2745 2741 2786 2760 2625 2671 2757 2864 2909 3023 3029 2822 2526 2321
8 9 11 12 14 14 15 18 19 20 21 24 25 23 22 22 21 21 22 22 24 27 30 31 30 32 34 37 39 38 37 37 36 37 40 43 48 54 55 57 63 63 60 52 43 36 34 33 28 23 18 15 14 15 18 24 27 25 26 18 13 13 19 24 25 24 25 30 33 31 27 24 23 22 21 20 19 17 14 13 12 11 10 11 10 9 10 9 9 8 9 9 9 9 9 8 7 6 6 3 3 3 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 99 441 984 1229 1197 974 710 514 399 333 259 141 36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 3 4 7 11 13 14 15 15 15 15 15 15 16 16 17 17 20 20 19 19 18 16 15 15 15 14 10 9 9 12 14 12 10 10 10 8 7 8 9 9 9 10 12 14 20 27 29 30 33 31 32 33 36 37 36 33 31 29 26 24 22 20 21 22 24 25 24 23 21 19 18 16 16 16 15 12 8 6 5 5 4 3 3 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 3 30 132 364 582 718 815 855 866 859 845 837 824 822 826 916 1054 1173 1276 1414 1538 1559 1491 1450 1467 1468 1421 1510 1691 1794 1730 1671 1901 2485 2993 2911 2610 2700 3086 3316 3446 3586 3517 3226 3106 3083 3154 3200 3292 3330 3413 3507 3552 3558 3547 3548 3568 3552 3485 3376 3214 2886 2466 2119 1817 1600 1537 1621 1635 1696 1981 2625 3181 3335 3310 3256 3205 3213 3224 3215 3198 3157 3059 2886 2691 2571 2448 2275 2143 2003 1839 1664 1594 1629 1627 1605 1662 1804 2060 2432 2938 3154 3078 2908 2765 2806 2663 2581 2525 2474 2499 2581 2587 2463 2280 2155 2090 2114 2063 1992 1970 2078 2349 2592 2628 2522 2381 2305 2423 2521 2562 2612 2733 2942 2998 2949 2824 2799 2832 2828 2758 2523 2298 2629 2552 2398 2309 2307 2406 2535 2644 2734 2689 2342 2167
10 12 13 13 14 15 15 17 18 18 20 22 22 21 21 22 22 22 22 23 25 28 31 32 30 32 33 36 38 38 38 39 38 39 43 42 40 42 48 51 55 57 54 48 40 36 32 26 21 18 16 15 14 16 19 22 23 20 19 16 16 20 26 26 26 24 26 31 31 29 27 25 22 21 20 20 18 16 14 12 12 11 11 11 10 9 9 8 9 9 9 9 9 8 8 7 6 6 5 3 3 3 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 51 346 861 1190 1223 1000 608 313 167 107 80 53 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 3 3 6 9 12 14 15 16 16 16 16 15 15 16 16 17 17 16 15 15 13 13 13 13 12 9 6 7 9 11 11 9 9 9 8 6 7 8 8 8 10 11 14 20 25 27 29 33 33 35 37 37 37 34 31 30 27 25 21 17 17 20 24 24 20 19 20 21 20 19 18 18 18 14 9 6 6 5 3 2 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 4 23 82 225 400 460 553 660 740 793 813 824 842 843 871 967 1090 1204 1323 1451 1531 1513 1474 1448 1452 1428 1392 1449 1625 1768 1726 1621 1854 2507 2887 2779 2647 2893 3246 3342 3285 3312 3394 3363 3246 3174 3155 3192 3269 3330 3415 3484 3487 3545 3508 3522 3556 3568 3516 3429 3315 3060 2694 2376 2049 1698 1394 1390 1389 1534 2018 2713 3201 3314 3302 3242 3192 3195 3215 3224 3250 3276 3236 3084 2836 2594 2540 2407 2281 2170 2029 1841 1703 1697 1643 1633 1639 1693 1789 2006 2389 2788 3023 3063 2725 2837 2747 2675 2552 2438 2417 2471 2547 2524 2398 2289 2202 2166 2129 2087 2035 1975 2101 2326 2520 2647 2568 2399 2314 2326 2369 2450 2544 2750 2877 2908 2873 2886 2952 2914 2711 2141 1683 2081 2246 2181 2059 2019 2042 2074 2171 2365 2513 2406 2193
12 13 14 14 15 15 16 17 16 17 18 19 19 19 19 21 24 23 22 22 22 25 29 31 31 32 33 36 38 38 38 39 40 41 44 43 42 39 38 41 45 49 51 50 43 37 30 23 19 19 19 18 19 22 22 20 18 16 15 17 23 25 28 21 19 24 28 29 28 27 25 22 20 20 20 18 16 15 13 12 11 10 10 9 9 9 9 9 9 9 8 9 8 7 7 6 6 6 4 3 3 2 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 21 310 770 1158 1241 1061 661 230 67 22 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 3 3 5 7 10 12 14 15 15 15 15 15 15 15 15 15 14 13 12 12 11 11 11 9 7 5 6 7 8 8 8 8 9 8 7 7 6 6 7 9 10 14 19 23 26 28 31 33 34 37 37 36 34 30 28 24 21 17 15 19 23 24 21 17 18 22 25 25 21 18 18 15 9 6 5 5 2 1 1 1 1 2 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 2 6 20 62 158 302 343 379 472 589 684 761 856 889 891 896 978 1095 1205 1315 1433 1496 1402 1411 1441 1462 1451 1399 1398 1549 1763 1783 1629 1766 2346 2781 2749 2538 2741 3300 3531 3130 2862 2892 2996 2962 3130 3287 3364 3397 3450 3504 3484 3383 3504 3506 3515 3564 3595 3546 3481 3407 3259 3072 2864 2579 2143 1659 1467 1470 1739 2330 2965 3236 3279 3270 3220 3166 3161 3185 3211 3257 3323 3336 3233 3011 2809 2663 2507 2375 2261 2164 2118 2014 1871 1722 1688 1680 1714 1761 1851 2059 2363 2673 2904 2790 2801 2833 2822 2701 2472 2325 2332 2387 2446 2359 2275 2214 2176 2170 2163 2201 2112 2053 2067 2253 2487 2575 2536 2423 2282 2229 2265 2358 2530 2653 2695 2679 2664 2714 2748 2584 1937 1655 1792 2043 2139 2038 1949 1835 1698 1742 1965 2198 2254 2157
14 14 15 15 15 15 15 16 16 17 17 18 18 18 18 19 21 22 23 21 20 20 22 25 28 31 33 34 37 37 38 38 39 40 41 40 40 39 37 38 42 45 48 49 46 40 31 23 19 20 20 19 22 26 23 18 15 16 22 26 26 24 22 17 19 27 29 29 27 26 24 21 20 20 19 17 16 14 13 12 10 9 9 9 8 9 9 9 9 9 9 9 8 7 7 6 5 5 5 4 3 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 190 729 1129 1289 1147 775 342 70 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 9 11 11 11 12 13 14 13 13 13 12 12 12 11 10 10 10 7 5 4 5 6 6 6 6 6 7 8 6 7 4 4 5 7 11 15 20 23 26 29 32 33 35 38 39 38 34 30 26 22 19 15 16 21 23 23 21 20 21 23 23 20 16 15 14 10 6 5 4 3 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 22 76 204 318 414 520 598 669 717 751 834 903 962 1043 1128 1206 1299 1415 1392 1322 1408 1436 1448 1467 1424 1366 1470 1727 1784 1627 1653 2083 2629 2745 2507 2467 2771 3004 2975 2500 2307 2301 2369 2558 2844 3202 3432 3422 3430 3461 3376 3444 3479 3485 3496 3512 3524 3517 3473 3434 3451 3374 3207 2853 2405 2112 2098 2345 2761 3128 3203 3213 3217 3193 3146 3136 3168 3197 3238 3301 3332 3270 3155 2978 2769 2597 2464 2342 2264 2281 2241 2060 1821 1735 1708 1697 1755 1825 1934 2018 2291 2503 2562 2609 2642 2745 2817 2700 2525 2321 2230 2271 2242 2189 2132 2098 2136 2082 2159 2238 2217 2069 2076 2213 2366 2484 2497 2317 2251 2249 2266 2311 2375 2425 2434 2374 2355 2514 2454 2143 1964 2038 2267 2363 2200 2058 1868 1555 1482 1667 1982 2163 2102
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