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 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 2 2 3 3 3 3 4 5 6 7 7 8 7 7 7 6 5 5 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 4 5 5 4 4 4 5 5 4 4 3 2 2 2 2 2 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 5 5 4 4 5 5 5 5 5 6 6 6 5 5 6 6 5 5 5 4 4 5 6 6 6 5 5 4 4 3 2 1 1 1 1 0 0 1 1 2 3 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 7 11 18 19 14 7 3 3 4 6 8 8 6 3 1 2 4 7 11 10 8 7 9 9 8 7 5 4 5 7 9 10 10 10 8 7 7 8 8 7 6 5 7 8 9 9 9 11 12 13 11 9 8 7 7 7 7 7 5 2 -1 -2 1 3 4 3 1 1 3 4 5 8 11 12 10 7 3 -0 -2 -3 -4 -8 -9 -4 3 6 7 7 6 6 5 5 6 6 6 6 8 11 13 13 13 10 8 6 6 5 5 7 9 7 4 4 4 4 4 4 5 8 10 8 7 6 6 6 6 5 5 5 5 5 6 7 8 9 8 9 13 14 11 7 6 6 6 6 6 8 8 9 8 7 5 4 4 2 2 2 3 3 4 5 4 3 -0 -4 -4 -1 1 1 1 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 6 6 7 6 4 2 1 1 2 3 2 0 1 5 9 11 9 4 -0 -1 0 2 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 4 6 8 10 12 11 10 10 9 10 9 7 6 9 15 19 19 16 12 10 9 7 6 3 1 1 1 1 1 2 4 5 4 3 4 7 10 9 5 -1 -4 -4 -4 -4 -1 5 10 11 12 12 12 12 12 13 14 16 17 17 16 15 14 13 12 11 9 10 11 12 13 14 14 14 14 14 12 11 9 7 7 7 7 7 6 5 4 4 4 5 6 5 4 3 3 5 7 8 7 6 5 5 5 4 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 3 3 3 2 3 4 nan
nan 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 4 5 6 7 7 7 7 7 6 5 5 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 5 4 4 3 3 3 3 4 4 5 4 4 4 4 4 4 3 2 2 2 2 3 4 4 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 6 5 5 5 5 6 6 5 5 5 5 4 3 3 2 1 1 0 0 -0 -0 0 1 3 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 6 7 11 18 20 15 9 6 5 5 6 7 8 6 3 2 4 4 5 6 6 6 6 6 6 6 5 4 4 4 5 6 7 8 8 7 7 8 8 8 7 6 6 7 8 10 10 11 13 14 13 10 7 6 5 5 5 5 6 7 6 4 3 5 7 5 2 0 0 -0 2 4 6 8 11 11 9 5 3 2 -0 -3 -6 -4 1 6 7 7 7 7 7 6 6 5 5 5 7 10 12 13 12 12 12 10 8 7 6 5 6 8 7 5 4 4 4 3 3 4 7 10 10 7 5 5 6 6 6 6 5 5 5 5 6 7 9 10 11 12 12 9 7 7 7 6 6 5 6 7 7 8 8 7 6 4 3 2 3 4 5 5 5 5 4 2 -3 -5 -3 1 1 -1 -1 1 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 5 6 6 6 4 3 2 3 3 2 1 1 2 4 5 3 0 -1 -0 1 2 1 1 1 2 2 3 3 4 4 4 4 4 3 3 4 5 7 11 14 16 14 11 8 7 7 6 5 4 4 7 11 14 14 12 11 11 11 10 8 5 3 4 5 5 5 5 5 5 5 6 7 9 9 6 3 1 2 5 6 6 6 7 8 8 8 8 9 9 10 11 13 13 13 13 12 12 11 10 8 8 9 10 12 12 13 13 14 14 14 13 11 8 7 6 6 6 6 6 5 4 4 5 6 5 4 3 2 3 5 7 7 6 6 5 5 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 4 3 3 2 2 2 3 3 nan
nan 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 4 4 5 6 7 7 7 7 6 6 5 4 4 4 4 4 4 5 5 6 6 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 4 3 3 3 3 3 4 4 5 5 4 4 4 4 3 3 3 3 3 3 4 5 5 4 4 4 3 3 3 4 5 5 5 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 6 6 5 4 3 3 2 2 1 0 -1 -1 -1 0 1 3 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 4 5 5 6 6 7 10 17 21 17 12 10 8 7 6 7 7 5 3 3 4 4 3 3 4 5 6 6 4 3 3 4 4 4 4 4 5 6 6 4 5 6 6 6 5 5 6 7 10 12 13 14 14 13 12 9 8 8 7 6 5 4 5 6 7 6 6 6 6 3 0 -0 -1 -1 -0 2 3 5 8 11 10 8 6 4 0 -3 -3 0 4 6 6 6 7 7 7 7 7 6 5 5 7 11 13 12 9 9 11 10 9 7 6 4 5 7 7 6 5 4 3 3 2 3 5 9 10 8 5 4 4 5 6 5 5 5 5 5 5 6 8 10 12 14 12 8 7 8 8 7 6 6 6 6 6 7 7 7 6 6 5 4 4 4 5 6 6 6 6 4 0 -4 -4 0 3 0 -2 -0 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 6 7 7 6 4 4 5 4 3 1 0 1 2 2 2 1 1 1 1 1 0 0 1 1 2 2 3 3 4 4 5 5 4 4 4 6 9 13 17 18 14 9 5 3 3 2 2 1 0 1 3 6 8 9 8 8 8 8 6 5 5 6 8 8 8 6 5 5 6 7 6 5 5 5 5 6 8 10 11 10 8 6 6 6 6 7 8 8 9 10 11 12 12 11 11 10 9 7 6 7 7 9 10 11 11 12 13 13 13 12 9 7 6 6 5 6 5 5 4 4 4 5 5 4 3 2 2 4 6 7 6 6 5 5 4 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 4 3 2 2 2 2 2 3 nan
nan 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 4 5 5 6 6 6 6 6 6 6 5 5 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 5 4 2 2 2 3 3 4 4 5 5 4 4 3 3 3 3 3 4 4 4 5 5 5 4 4 4 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 4 5 6 6 5 5 5 5 5 5 5 6 6 7 6 6 5 6 6 5 4 4 3 3 2 2 1 -0 -0 -0 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 7 9 14 18 17 13 12 10 8 6 6 6 5 4 4 3 3 3 4 5 6 6 5 3 3 3 3 3 3 3 3 4 5 5 5 4 5 6 7 7 6 7 9 11 12 12 12 10 9 9 9 9 9 9 7 5 3 4 4 4 4 2 2 2 1 -1 -1 -1 -2 -1 0 1 3 7 10 9 8 5 0 -1 -1 1 4 5 5 5 6 6 7 7 7 7 7 5 4 5 9 12 9 6 6 8 9 8 6 5 5 5 6 7 7 6 5 4 3 2 2 4 6 8 9 6 3 3 4 5 5 6 6 6 5 5 5 7 9 12 16 14 8 6 8 8 6 6 6 6 5 5 6 5 5 6 7 7 7 6 6 7 6 6 6 6 5 2 -1 -3 -1 4 4 1 0 2 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 6 6 5 5 6 5 4 2 1 1 1 2 2 2 2 1 1 0 0 0 0 1 1 2 3 4 4 5 5 5 5 5 5 6 9 13 16 15 11 6 2 1 0 -0 -1 -2 -2 -2 -1 2 5 6 6 6 6 6 5 5 6 8 10 11 11 9 6 6 6 7 7 6 6 8 9 10 10 10 9 8 7 6 6 6 7 7 8 8 9 10 10 11 11 10 9 8 7 6 5 5 5 6 7 8 9 10 11 12 11 9 8 6 6 5 5 5 5 5 4 4 4 5 5 4 3 2 3 4 6 6 5 5 5 4 4 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 5 4 4 3 2 1 1 1 1 2 3 nan
nan 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 2 2 2 2 2 3 4 5 6 6 6 6 6 6 6 6 5 5 4 4 5 6 6 6 6 5 4 4 3 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 6 6 6 4 2 2 2 3 3 4 4 5 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 5 5 4 5 5 5 4 5 6 6 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 5 5 4 4 3 3 2 2 1 1 1 1 2 3 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 5 5 6 7 8 10 13 13 13 12 11 8 7 6 6 6 5 4 3 2 4 6 8 7 6 3 3 3 3 2 2 3 3 4 3 4 5 5 5 5 7 9 10 11 11 10 10 9 7 5 4 3 4 4 5 5 6 5 4 2 2 1 1 -0 -1 -1 -1 -0 -1 -2 -3 -3 -2 1 2 3 6 9 8 5 -0 -4 -2 3 6 6 6 5 5 6 6 6 6 7 7 7 6 4 4 6 7 5 3 3 5 6 6 5 5 5 5 6 6 7 7 6 5 4 3 2 3 4 6 8 8 6 4 3 3 4 6 6 6 5 5 5 6 7 10 15 15 8 5 6 7 6 6 7 6 5 5 6 5 5 5 7 8 7 7 7 7 7 7 6 6 6 4 2 -0 -2 0 2 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 6 6 5 3 2 1 1 1 2 2 2 1 1 1 1 1 1 1 1 2 3 4 5 5 6 6 6 6 6 7 8 11 12 11 7 2 0 -0 -0 -1 -3 -4 -4 -3 -1 2 4 5 5 5 6 6 6 6 7 9 11 12 13 11 8 7 8 9 10 11 13 14 13 11 9 7 6 6 6 6 7 7 7 7 8 8 9 9 10 10 10 9 8 7 6 5 4 3 3 4 5 7 8 9 9 10 9 8 7 6 6 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 2 1 0 -0 0 1 2 3 nan
nan 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 2 3 4 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 5 5 5 4 3 3 4 4 5 5 5 4 4 4 4 4 5 5 4 4 4 3 4 5 6 6 6 5 4 3 2 2 3 3 4 4 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 3 3 3 4 4 5 5 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 5 5 4 5 5 5 4 5 6 6 5 5 5 6 5 5 5 6 6 6 7 6 6 6 6 5 5 5 5 4 4 3 2 2 1 1 1 2 3 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 7 8 9 9 10 11 11 11 9 7 7 8 8 6 4 3 3 5 8 9 8 5 2 1 2 3 3 4 5 5 5 4 3 4 5 4 5 7 10 12 12 11 9 6 4 2 1 1 1 0 -1 -1 0 1 3 2 1 0 0 0 -0 -1 -1 -1 -0 -1 -5 -8 -7 -2 3 4 5 7 7 6 1 -6 -7 -1 6 8 8 7 6 6 6 6 6 6 7 7 7 7 5 3 2 2 1 1 2 4 5 5 5 6 5 5 5 5 6 7 7 6 5 4 3 3 4 5 7 8 8 6 5 4 4 5 6 6 6 5 4 5 7 9 14 15 10 5 4 5 6 6 6 6 6 6 6 6 5 6 6 7 7 6 6 6 6 7 7 7 6 5 5 3 -0 -4 -3 0 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 3 4 5 5 5 4 3 2 1 1 1 2 2 1 1 2 1 1 1 1 2 3 4 6 7 7 7 7 7 7 7 7 7 8 9 8 4 -0 -2 -1 -1 -1 -2 -3 -4 -2 0 3 5 5 5 5 6 7 6 6 7 8 9 10 11 11 10 11 12 14 16 18 18 15 10 7 5 5 5 5 5 5 6 6 6 7 8 8 8 9 9 10 9 8 7 6 5 4 4 3 3 3 4 5 6 7 8 9 9 9 7 7 6 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 1 -0 -0 -0 1 2 3 4 nan
nan 4 3 3 3 4 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 2 2 1 1 2 3 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 5 5 4 4 4 4 4 4 5 4 4 4 3 4 5 5 6 6 5 3 2 2 3 3 3 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 3 3 4 5 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 5 5 6 5 5 5 5 5 5 6 5 6 6 7 6 6 6 5 5 5 5 5 5 5 4 3 1 0 0 1 2 3 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 7 9 9 10 11 11 10 9 8 8 9 9 8 6 4 3 4 6 9 10 9 6 2 2 3 5 7 8 8 7 6 6 5 5 5 5 5 6 8 9 8 7 6 4 3 3 4 4 4 2 0 -0 -0 0 2 2 1 -0 1 2 3 2 1 -0 -1 -4 -10 -14 -11 -3 4 8 9 9 5 0 -7 -12 -9 -0 6 8 8 8 7 6 6 6 6 6 7 7 7 7 6 5 2 1 1 2 3 3 4 4 5 6 5 5 5 5 5 6 6 6 6 5 5 4 4 5 6 7 8 8 7 6 6 6 7 8 7 5 5 5 6 9 14 17 14 8 4 4 5 5 6 7 6 6 6 6 6 6 6 7 6 5 5 5 5 6 6 6 6 6 5 5 3 -2 -6 -4 1 4 4 4 4 4 4 3 4 4 5 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 4 4 4 4 4 3 2 2 1 2 1 1 1 1 1 1 1 1 2 4 6 8 9 9 9 8 8 9 9 8 7 7 7 6 4 1 -2 -2 -1 1 2 1 0 2 3 5 6 6 5 6 6 6 6 6 6 7 8 9 10 10 12 14 17 18 18 17 14 9 5 4 4 4 4 4 4 4 4 3 2 3 5 6 7 8 9 9 9 8 7 6 5 4 4 4 3 3 3 4 5 6 7 9 10 10 9 7 6 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 1 0 -0 -0 1 2 3 5 6 6 nan
nan 4 3 3 3 4 5 5 5 5 5 4 4 5 6 6 5 5 4 4 4 4 4 4 4 3 2 2 1 1 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 5 5 5 4 3 2 2 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 4 4 5 5 5 5 6 7 6 6 6 5 5 5 5 5 5 5 5 3 2 0 0 1 2 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 7 9 10 10 11 11 10 8 7 8 9 9 7 6 5 4 4 6 8 11 10 8 6 5 6 8 10 11 11 9 8 7 7 6 5 5 4 4 5 6 5 4 4 6 7 8 10 11 10 8 7 6 4 3 2 2 1 1 1 3 4 3 1 0 -3 -8 -14 -16 -10 -2 6 11 11 6 1 -6 -16 -18 -10 -1 4 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 5 4 4 4 4 3 3 3 5 5 5 4 5 5 5 5 5 5 5 5 6 6 5 5 6 6 7 7 8 7 7 8 9 9 9 7 5 5 5 7 13 19 19 13 8 5 5 5 6 7 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 5 6 5 2 -4 -5 -0 4 4 4 4 3 3 3 3 4 5 6 7 7 7 6 5 4 4 3 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 2 2 3 3 4 4 3 3 2 2 2 2 2 1 1 1 1 1 2 3 5 8 10 10 10 9 9 9 10 10 9 8 6 6 6 6 4 1 -0 0 3 5 5 4 5 6 6 7 7 6 6 6 5 5 5 5 7 8 10 10 10 12 15 17 17 15 10 6 4 3 3 4 4 4 4 4 4 3 1 -1 -3 -2 1 4 6 8 9 9 8 7 6 5 4 4 4 4 3 3 3 4 6 7 9 9 10 9 7 6 5 5 5 4 4 4 4 4 4 3 3 2 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 2 2 2 1 0 -0 0 1 3 4 6 7 8 8 nan
nan 4 3 3 4 5 6 6 6 6 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 3 3 2 1 1 2 3 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 4 4 4 3 3 3 4 4 5 4 3 3 3 4 4 4 3 3 4 4 4 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 4 2 1 0 1 2 3 3 3 2 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 7 9 10 11 11 11 10 8 5 5 6 6 6 6 5 5 4 5 7 9 9 9 8 8 8 7 8 9 9 8 7 6 5 4 3 3 2 1 2 4 5 3 4 7 9 12 14 14 13 13 12 11 9 6 4 3 2 1 1 2 2 1 -0 -1 -5 -9 -12 -10 -5 1 9 13 8 -0 -4 -12 -22 -20 -9 -1 2 3 5 6 6 6 5 5 5 6 7 7 7 7 7 7 7 7 6 5 4 3 3 3 4 5 5 4 4 5 5 4 4 5 5 5 5 6 6 5 5 5 5 6 7 7 7 8 9 10 10 9 7 5 5 5 9 15 19 18 14 11 8 6 6 7 7 6 6 5 5 5 5 6 7 6 6 6 5 4 4 7 7 6 5 6 7 5 -2 -5 -1 3 4 4 3 3 3 3 3 4 4 6 7 8 7 6 5 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 5 4 3 3 2 2 3 3 4 3 3 3 2 2 2 2 1 1 0 1 1 3 4 6 9 11 11 10 9 9 9 10 10 10 8 6 5 5 5 5 5 4 4 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 7 9 11 11 11 12 14 15 13 9 5 2 3 4 4 4 4 4 4 4 5 5 5 3 -0 -2 -0 2 5 7 9 9 8 8 6 5 4 4 4 4 3 3 3 3 5 6 8 9 9 8 7 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 2 2 1 1 0 0 1 3 5 6 7 8 8 9 nan
nan 3 3 4 6 8 9 9 9 9 8 6 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 3 2 1 1 2 3 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 3 3 3 4 5 5 6 6 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 5 6 7 6 4 3 3 3 3 4 4 5 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 6 6 6 5 5 5 5 4 3 1 1 1 2 2 2 2 2 2 2 3 3 3 3 4 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 7 9 11 12 12 10 8 6 4 3 3 4 5 6 5 4 4 5 6 5 6 7 8 7 6 4 3 4 6 7 6 5 5 4 4 2 1 2 3 4 4 3 2 5 8 11 12 12 11 10 11 11 10 8 6 2 0 1 3 3 1 -2 -3 -4 -6 -6 -5 -2 1 5 10 10 2 -5 -8 -16 -21 -15 -4 0 1 1 3 5 5 5 5 4 4 5 6 7 7 7 6 6 6 7 6 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 6 5 4 4 4 4 4 5 6 6 7 8 9 10 10 9 8 7 5 5 8 13 16 18 16 14 11 10 10 9 9 8 7 6 5 5 5 6 6 6 7 7 5 5 8 9 6 5 5 7 6 1 -3 -1 2 4 4 4 3 3 3 3 3 4 5 6 7 7 6 5 4 4 4 3 3 4 4 4 4 4 4 3 3 3 4 5 6 5 4 3 2 2 2 2 3 3 3 2 2 2 2 1 1 0 0 1 2 3 5 7 10 12 11 10 9 8 8 8 8 8 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 8 9 10 11 12 12 13 14 13 10 5 2 2 3 4 4 4 4 4 4 5 6 9 11 13 12 10 8 6 6 8 8 9 8 7 7 6 5 4 4 4 3 3 3 4 5 6 7 8 8 7 7 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 2 2 1 1 0 1 1 3 5 6 7 7 8 9 10 nan
nan 2 3 5 8 9 10 10 10 10 8 7 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 4 3 3 2 2 2 3 3 4 4 5 5 5 4 3 3 4 4 5 5 5 4 4 3 3 4 5 5 5 6 5 5 4 4 4 4 4 3 3 2 3 3 3 3 4 4 4 4 3 4 4 5 6 7 8 8 7 5 3 3 3 3 4 4 4 4 3 3 3 3 4 3 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 5 5 5 5 4 3 2 1 1 2 2 2 2 2 2 2 2 3 3 3 4 4 3 3 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 6 7 9 11 13 13 11 8 5 3 3 3 5 6 5 4 3 6 7 5 3 3 4 4 5 4 2 1 2 5 8 8 8 8 7 7 6 7 8 6 3 1 1 1 2 4 6 7 7 6 6 7 7 7 8 7 3 -0 1 6 7 2 -3 -6 -6 -4 -1 3 5 7 8 9 6 -1 -5 -9 -17 -18 -7 2 3 1 -0 1 3 5 5 5 4 4 4 5 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 5 4 4 4 4 4 4 5 6 6 7 8 9 9 9 9 7 5 5 6 9 13 16 16 15 14 14 13 13 12 10 9 8 6 5 5 6 6 7 8 7 8 11 10 8 6 6 6 5 1 -0 1 3 4 4 4 4 4 4 4 3 3 3 4 5 6 6 6 5 5 4 4 5 5 5 5 5 5 4 4 4 4 5 6 7 6 4 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 3 5 7 10 12 11 10 9 8 7 6 5 5 5 5 5 6 6 5 5 5 6 6 6 6 6 6 6 5 5 4 5 5 6 7 9 11 13 13 11 10 9 11 13 13 12 7 3 1 2 4 4 4 3 3 3 4 5 6 9 12 16 18 18 15 12 11 10 9 8 8 7 7 6 6 5 4 4 3 3 3 4 5 6 7 7 7 7 6 5 4 3 3 3 3 3 3 2 2 2 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 2 1 0 0 0 1 3 4 5 6 7 7 8 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
CAPE
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10 11 11 11 10 8 6 7 10 11 13 13 13 13 13 14 16 16 18 19 19 19 19 19 20 20 20 20 20 20 21 21 22 23 24 24 23 24 23 29 25 26 28 28 28 28 27 24 20 16 14 13 11 9 9 10 13 18 23 31 30 20 11 8 8 10 11 11 10 9 7 6 6 6 6 6 7 8 9 8 7 8 8 8 7 6 4 4 6 9 9 10 13 16 18 19 17 13 10 11 11 9 12 14 13 11 9 12 12 11 10 9 9 8 7 6 5 4 4 4 4 4 5 4 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 4 50 241 689 1003 1098 1090 1044 1034 1001 932 852 755 693 542 246 92 36 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 4 6 7 10 13 14 14 14 13 13 13 13 12 12 12 11 9 5 4 4 3 3 3 3 3 3 4 3 1 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 1 2 10 41 108 222 383 557 699 842 938 1085 1227 1453 1769 2016 2067 1942 1792 1745 1634 1733 1706 1467 1334 1458 1622 1750 1797 1743 1631 1542 1533 1391 1274 1256 1331 1313 1175 992 833 736 736 830 872 811 752 716 706 705 718 726 732 859 1249 1651 2036 2428 2752 2882 3023 3499 4067 4251 4090 3913 3647 3455 3283 3193 3210 3286 3329 3327 3290 3228 3094 2867 2666 2514 2398 2512 2653 2660 2540 2402 2346 2372 2385 2326 2283 2273 2458 2772 2773 2580 2687 3026 3031 2931 2899 2967 2847 2762 2696 2616 2502 2302 2060 2078 2460 2829 2905 2760 2701 2679 2524 2244 2019 2031 2027 1830 1702 1591 1491 1394 1381 1465 1551 1624 1748 1989 2283 2404 2467 2441 2385 2214 1903 1728 1865 1914 1876 1690 1574 1565 1583 1584 1551 1544 1621 1668 1687 1756 1869 1886 1763 1576 1428 1390 1443 1501 1558 1649 1704 1678 1641 1680 1744 1714 1713 1811 1751 1877 1930 1964 2014 2066 2110 2115 2104 2025 2078 2088 2080 2128 2179 2213 2294 2383 2429
8 9 10 11 10 9 8 10 12 12 13 13 14 13 12 13 14 15 16 18 18 18 18 18 19 19 19 19 19 20 21 21 20 21 22 23 24 23 22 24 23 25 25 25 26 26 26 25 22 19 15 12 8 7 8 9 11 15 23 32 30 24 13 9 8 9 11 11 11 9 7 5 5 6 7 7 7 8 9 8 7 6 8 7 6 5 5 7 10 13 11 12 16 18 18 16 13 11 11 11 11 12 15 13 11 11 11 11 11 8 9 9 9 7 7 6 6 6 6 6 6 6 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 1 20 154 493 922 1120 1128 1067 1004 952 865 751 571 419 376 242 72 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 1 3 5 6 7 11 14 14 14 14 14 13 13 13 12 11 10 9 5 4 3 3 3 3 3 3 3 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 1 5 18 52 128 262 435 620 789 922 1063 1320 1698 2009 2145 2102 1891 1772 1740 1790 1716 1564 1476 1409 1428 1490 1529 1548 1515 1407 1359 1381 1284 1201 1180 1135 1003 835 691 608 640 809 816 749 709 688 691 721 745 721 731 1040 1474 1881 2501 3033 3019 2880 2808 3113 3801 4336 4349 4031 3727 3516 3347 3277 3335 3465 3579 3627 3614 3511 3232 3074 2900 2754 2656 2634 2631 2591 2485 2354 2288 2267 2194 2140 2137 2220 2656 3086 3173 3071 3161 3356 3023 2868 2810 2831 2830 2805 2810 2847 2850 2723 2456 2344 2528 2774 2795 2672 2598 2567 2496 2352 2028 2059 2069 1966 1831 1697 1561 1432 1369 1383 1469 1569 1588 1673 1793 1879 1966 2042 2089 2050 1823 1650 1550 1425 1674 1710 1584 1498 1508 1547 1557 1558 1630 1698 1774 1884 2026 2056 1929 1711 1477 1364 1361 1369 1414 1607 1706 1696 1710 1714 1650 1513 1506 1510 1571 1622 1650 1722 1807 1903 1997 2051 2191 2109 2093 2094 2078 2117 2247 2325 2405 2476 2446
5 6 8 9 9 9 10 9 10 10 12 14 14 13 13 13 14 15 15 16 16 16 17 18 18 19 18 18 18 19 20 20 20 22 23 22 23 22 20 21 22 23 23 23 23 24 26 25 24 21 17 13 10 9 8 9 10 11 12 17 23 22 11 8 8 11 11 10 9 7 5 6 6 6 7 6 7 8 9 9 8 8 8 5 6 6 6 8 11 16 18 17 18 18 17 14 11 11 12 11 12 15 14 11 10 11 12 11 10 9 8 9 8 4 5 6 6 7 7 6 6 6 5 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 6 81 357 772 1075 1151 1131 1028 920 810 656 441 215 119 117 69 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 12 13 13 14 14 13 13 12 11 9 8 6 5 4 4 3 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 20 53 145 320 558 769 912 1152 1565 1990 2248 2289 2104 1931 1925 1752 1727 1710 1662 1591 1503 1424 1402 1421 1397 1172 1077 1208 1297 1312 1249 1112 948 811 705 675 741 845 831 786 758 735 725 749 773 740 831 1327 1752 2236 2723 2667 2509 2484 2498 2658 3178 3989 4522 4411 4023 3678 3445 3375 3451 3614 3791 3891 3788 3330 3046 3064 3018 2931 2862 2806 2701 2549 2444 2373 2338 2273 2149 2055 1990 1979 2398 3174 3555 3398 3371 3504 3183 2891 2676 2595 2602 2661 2779 2880 2968 3052 2971 2808 2797 2873 2836 2681 2512 2427 2396 2454 2144 2080 2073 2028 1943 1824 1680 1535 1452 1433 1432 1528 1548 1549 1554 1574 1600 1648 1728 1814 1822 1898 1759 1409 1534 1727 1683 1561 1540 1570 1594 1623 1672 1759 1816 1888 2017 2099 2057 1914 1659 1483 1348 1232 1177 1318 1562 1672 1750 1714 1639 1480 1409 1415 1450 1423 1407 1467 1514 1638 1612 1732 1892 1978 2040 2074 2054 2042 2139 2281 2387 2425 2337
6 6 7 8 8 8 9 9 9 10 11 14 14 13 14 13 14 15 15 16 15 16 17 17 17 19 18 17 17 18 19 19 19 21 22 22 22 20 19 20 20 21 21 22 23 24 26 26 25 22 20 16 13 12 10 9 10 11 13 17 22 20 12 9 8 11 9 7 6 5 5 6 6 6 6 5 7 9 10 9 9 9 8 7 7 7 8 8 10 13 17 19 18 17 15 14 13 12 12 12 13 14 12 9 10 11 12 9 9 9 9 8 6 3 4 6 7 6 6 5 5 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 1 37 240 625 950 1077 1099 1101 987 829 662 388 157 60 34 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 11 12 12 11 11 10 8 6 5 4 4 5 5 4 3 3 3 3 3 2 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 15 59 238 508 738 984 1341 1787 2205 2443 2349 2174 2163 2151 2110 1983 1834 1696 1561 1434 1372 1386 1402 1090 947 1049 1177 1258 1259 1181 1070 963 900 908 941 937 902 864 839 806 766 769 803 806 1048 1505 1922 2542 2973 2770 2418 2313 2272 2364 2707 3345 4038 4495 4288 3935 3681 3543 3540 3698 3922 4034 3726 3257 3029 3010 3071 3035 2923 2854 2812 2685 2599 2570 2510 2437 2314 2132 1913 1823 2167 3018 3749 3487 3260 3211 3107 2942 2702 2534 2513 2573 2702 2821 2954 3121 3180 3139 3099 3050 2920 2725 2572 2453 2361 2399 2286 2144 2005 1964 1958 1864 1759 1642 1593 1603 1517 1508 1523 1513 1495 1494 1480 1504 1579 1701 1739 2043 2019 1726 1634 1740 1795 1638 1621 1636 1671 1706 1725 1756 1782 1799 1880 1958 1961 1886 1761 1620 1460 1258 1107 1148 1420 1691 1713 1663 1634 1568 1499 1426 1296 1211 1310 1395 1386 1513 1594 1615 1618 1689 1728 1873 1970 1962 1988 2115 2240 2289 2249
6 6 8 8 8 8 9 9 9 10 12 12 13 13 13 13 13 14 15 16 15 16 17 17 16 17 17 18 17 18 19 19 18 19 20 20 21 21 20 19 19 19 20 22 22 23 26 27 25 23 21 19 15 13 11 10 10 11 13 18 21 19 15 12 11 11 7 5 5 5 6 7 6 6 6 6 8 10 9 8 8 9 9 8 7 8 9 10 13 16 17 18 17 15 13 12 14 11 11 14 14 12 10 9 11 12 10 9 9 9 8 7 6 4 5 5 5 5 5 5 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 1 9 169 511 888 1035 1019 1005 1001 898 707 463 182 64 40 23 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 6 8 9 9 8 8 7 5 4 4 4 5 4 4 4 4 3 3 3 3 2 2 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 43 202 454 746 1067 1442 1909 2376 2396 2333 2389 2436 2377 2172 1905 1710 1609 1478 1393 1396 1396 1134 941 902 906 916 949 988 1021 981 964 979 988 976 945 920 911 891 874 914 918 941 1271 1502 1855 2707 3084 2731 2379 2262 2248 2316 2679 3000 3310 3641 3753 3765 3739 3656 3549 3647 3873 3990 3778 3421 3080 3009 3123 3124 2981 2930 2958 2877 2856 2805 2737 2704 2619 2377 2050 1922 2253 2970 3612 3348 2928 2738 2779 2780 2645 2579 2581 2586 2591 2729 2822 2974 3111 3195 3227 3191 3022 2757 2690 2581 2439 2364 2310 2173 1972 1865 1875 1821 1770 1830 1715 1626 1552 1507 1498 1505 1515 1514 1473 1477 1540 1735 1972 2246 2231 1952 1762 1774 1835 1762 1724 1709 1733 1757 1755 1710 1661 1677 1693 1698 1716 1722 1709 1733 1694 1479 1208 1080 1381 1635 1654 1595 1558 1591 1638 1565 1407 1343 1484 1547 1476 1440 1311 1184 1394 1465 1395 1463 1588 1741 1810 1906 2036 2190 2207
6 7 8 8 7 8 7 8 8 9 10 10 12 12 12 12 13 14 15 16 15 16 16 17 16 16 17 18 17 18 18 18 18 18 18 19 20 21 20 19 18 17 19 21 22 22 24 25 25 24 23 20 17 14 11 10 9 11 13 15 17 16 15 13 12 11 8 5 5 6 7 7 6 6 7 7 8 9 8 8 8 10 11 9 8 9 11 14 18 18 17 16 14 13 13 13 13 12 13 14 13 11 9 10 11 10 9 9 9 7 7 7 6 6 5 5 5 5 5 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 18 120 457 825 1079 1111 1032 952 869 722 498 253 88 31 20 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 5 5 5 4 4 3 3 3 3 4 3 3 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 1 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 40 161 395 727 1085 1437 1960 2212 2324 2418 2529 2535 2356 2060 1814 1709 1551 1434 1393 1332 1161 954 761 628 571 556 564 638 727 787 870 924 956 958 961 974 955 955 1027 1047 1140 1528 1682 2107 2744 2883 2515 2264 2272 2358 2423 2772 2942 3006 3090 3229 3438 3594 3640 3527 3594 3781 3850 3768 3555 3246 3145 3256 3249 3094 2980 3026 3008 3005 2965 2950 2965 2946 2804 2516 2237 2266 2958 3334 3160 2646 2305 2306 2356 2344 2485 2534 2484 2367 2486 2644 2862 3053 3141 3152 3222 3143 2931 2811 2649 2416 2234 2145 2056 1951 1879 1862 1801 1775 1878 1832 1716 1609 1535 1486 1493 1524 1512 1466 1447 1466 1633 1950 2310 2442 2160 1877 1819 1805 1738 1695 1684 1699 1746 1780 1750 1701 1623 1582 1557 1581 1646 1756 1880 1912 1742 1421 1184 1382 1539 1572 1564 1590 1724 1752 1724 1673 1644 1676 1660 1604 1470 1252 1133 1444 1456 1451 1348 1276 1370 1599 1801 1857 2014 2142
7 7 7 7 7 7 7 6 7 9 9 10 13 12 13 12 14 15 16 16 16 16 17 17 15 16 17 17 17 18 17 18 18 18 18 18 18 18 18 18 17 16 17 21 21 21 22 23 24 23 23 21 20 17 14 11 9 9 10 11 12 10 10 11 16 17 12 8 6 5 6 7 7 7 8 9 9 9 8 8 8 9 10 9 10 12 14 16 17 16 16 14 13 13 14 13 11 11 14 13 11 10 11 11 11 9 9 8 6 6 7 6 5 5 5 5 5 5 4 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 7 109 377 772 1058 1185 1140 1021 879 691 472 266 115 44 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 1 1 2 2 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 20 107 342 724 1047 1511 1923 2163 2371 2562 2624 2482 2199 1933 1784 1637 1491 1375 1270 1147 972 767 597 493 441 394 407 483 567 716 838 910 932 929 947 966 979 1032 1061 1299 1744 2102 2519 2752 2530 2243 2244 2302 2352 2390 2611 2814 2928 2885 2920 3235 3331 3450 3486 3647 3810 3902 3839 3715 3594 3489 3503 3472 3283 3035 3036 3083 3073 3052 3038 3039 3077 3040 2884 2626 2671 2946 3207 3165 2673 2135 2040 2086 2187 2319 2351 2301 2163 2155 2264 2511 2853 3027 2963 3039 3101 3078 2915 2700 2414 2144 2007 1948 1973 2072 2125 2023 1907 1870 1893 1903 1791 1640 1504 1479 1493 1487 1448 1407 1380 1437 1697 2150 2488 2394 2059 1857 1787 1728 1641 1601 1610 1667 1735 1739 1700 1635 1580 1536 1539 1644 1803 1948 2009 1929 1659 1407 1325 1365 1461 1531 1612 1766 1729 1743 1786 1789 1744 1686 1633 1516 1353 1304 1307 1335 1364 1374 1389 1332 1527 1602 1784 1878 2007
8 7 7 6 6 7 6 6 7 9 9 10 11 12 13 13 15 15 16 16 16 17 18 17 16 17 17 18 17 17 17 17 17 17 17 17 16 16 17 18 18 17 17 19 20 21 21 22 23 23 22 22 23 21 17 13 10 9 10 11 11 10 9 14 23 21 14 10 7 6 5 6 8 8 9 9 8 8 8 9 10 10 10 9 12 15 15 16 16 16 15 11 13 15 14 12 13 13 12 10 8 8 11 10 9 8 8 7 7 7 5 4 5 5 4 4 4 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 2 76 334 708 1021 1168 1155 1030 902 680 420 228 118 64 33 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3 3 2 0 0 1 2 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 6 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 13 91 387 805 1334 1827 2145 2375 2531 2608 2583 2367 2130 1907 1701 1529 1379 1245 1134 1018 865 691 559 451 375 362 378 402 540 700 800 848 882 923 940 960 1009 1011 1263 1710 2292 2730 2614 2133 2074 2243 2280 2236 2218 2312 2468 2634 2691 2592 2727 2920 3088 3208 3433 3765 4003 4022 3923 3792 3679 3711 3663 3425 3167 3076 3045 3009 2960 2911 2899 2940 2908 2852 2786 2784 2874 3102 3206 2912 2383 2111 2027 2109 2161 2212 2172 2028 1930 2000 2250 2644 2840 2838 2876 3000 3140 3072 2835 2560 2240 1989 1883 1928 2177 2341 2332 2175 1922 1740 1887 1924 1757 1600 1509 1466 1440 1416 1383 1348 1342 1463 1917 2331 2442 2273 1958 1735 1725 1686 1610 1581 1534 1541 1592 1650 1663 1646 1650 1677 1811 1940 2053 2085 2059 1905 1637 1391 1347 1478 1506 1597 1731 1792 1797 1802 1823 1767 1636 1592 1513 1430 1371 1324 1291 1331 1499 1565 1414 1407 1513 1810 1969 2047
7 7 7 5 6 8 8 8 9 10 10 10 10 12 12 13 14 15 16 16 16 17 17 17 16 17 17 17 18 17 17 16 17 16 16 16 17 18 17 17 17 17 17 18 19 20 20 20 22 22 22 22 23 22 20 15 13 11 12 12 13 14 17 25 30 21 14 9 8 7 7 8 9 9 10 9 8 8 9 11 12 11 11 13 17 16 15 14 14 15 15 14 14 14 12 11 12 11 10 8 9 11 11 9 9 8 7 7 6 4 5 5 4 4 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 40 298 688 1035 1178 1144 1041 893 714 389 171 84 51 30 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 3 3 3 2 3 1 0 0 1 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 7 7 5 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 1 9 155 516 1173 1740 2096 2305 2429 2491 2482 2409 2255 1993 1775 1591 1445 1319 1207 1116 1019 866 653 476 347 258 248 260 349 498 630 723 813 904 891 913 953 1038 1259 1606 2185 2867 2760 1972 1991 2118 2133 2076 2056 2117 2185 2225 2285 2252 2191 2353 2561 2743 3023 3500 3995 4272 4226 3827 3594 3642 3616 3497 3353 3206 3056 2937 2860 2764 2687 2668 2649 2702 2782 2825 2886 3002 3106 3046 2743 2298 1983 1984 2018 2090 2103 1978 1847 2001 2239 2257 2458 2707 2837 2944 3110 3200 3045 2798 2494 2096 1892 1847 1995 2211 2337 2353 2226 1917 1842 1844 1853 1757 1595 1461 1387 1367 1365 1369 1361 1436 1705 2020 2230 2284 2090 1826 1785 1741 1689 1688 1564 1494 1539 1617 1653 1695 1786 1826 1953 2124 2249 2238 2196 2111 1883 1656 1627 1657 1578 1504 1480 1626 1755 1727 1708 1686 1548 1517 1466 1397 1365 1380 1375 1407 1568 1667 1541 1463 1589 1820 1923 1862
7 6 6 6 6 7 9 10 10 10 9 10 10 10 11 13 14 15 15 16 16 17 17 16 17 17 18 18 19 18 18 16 15 15 15 15 16 16 16 16 17 17 17 18 19 19 20 19 19 21 22 22 22 23 21 17 15 13 12 13 15 19 26 33 29 22 11 8 8 8 9 9 10 11 11 9 9 9 11 13 14 15 17 18 19 16 14 13 15 17 17 16 14 12 12 12 11 9 9 9 10 10 9 10 8 7 6 5 4 4 4 3 3 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 2 23 244 651 1065 1288 1236 1084 942 741 443 168 44 24 15 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 1 2 3 3 2 2 2 2 2 2 1 0 1 2 3 3 2 3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 7 8 6 5 3 2 1 1 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 36 175 659 1207 1619 1872 2034 2170 2278 2331 2306 2067 1843 1639 1491 1370 1257 1167 1068 885 737 516 351 231 178 170 208 308 449 577 713 751 770 805 866 1029 1356 1677 1948 2632 2453 2000 1910 1920 1923 1895 1897 1978 2068 2063 2054 2167 2395 2431 2526 2764 3055 3416 3812 3936 3561 3727 3467 3439 3495 3519 3478 3391 3232 2966 2780 2530 2407 2372 2353 2482 2724 2931 2993 2991 3030 3115 2931 2492 2058 1880 1893 1980 2044 2027 1903 1919 2000 1974 2202 2580 2781 2861 3005 3125 3092 2997 2773 2401 2132 1968 1891 1902 1990 2220 2414 2285 2011 1791 1876 1835 1656 1547 1489 1445 1375 1386 1388 1456 1605 1676 1848 2125 2137 1995 1979 1860 1758 1759 1718 1665 1667 1726 1713 1775 1851 1870 1978 2184 2348 2437 2500 2461 2216 2146 2139 2002 1765 1476 1335 1526 1653 1629 1551 1524 1479 1429 1380 1300 1245 1348 1370 1375 1495 1607 1548 1436 1415 1524 1708 1600
7 6 5 6 7 7 10 10 9 9 10 10 10 11 11 13 14 15 15 15 16 17 17 17 17 17 18 20 21 20 19 18 14 15 15 15 15 15 15 16 16 17 18 18 18 18 19 19 19 20 21 22 22 22 21 20 18 15 13 14 16 22 30 34 27 16 9 7 8 10 10 10 10 11 10 10 10 11 12 15 17 18 18 18 17 14 13 15 17 16 15 14 12 11 10 10 7 8 9 10 10 9 7 7 7 7 5 5 4 3 3 3 3 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 30 190 633 1017 1359 1358 1187 1042 885 599 243 47 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 9 8 8 8 6 5 3 2 2 1 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 184 510 893 1235 1496 1691 1934 2043 2147 2037 1848 1666 1517 1396 1282 1171 1073 866 720 542 378 242 153 118 127 181 345 457 572 605 615 652 750 911 1246 1729 1945 2695 2757 2135 1862 1751 1741 1747 1753 1825 1952 2021 2017 2124 2660 2982 3065 3140 3189 3230 3416 3291 2958 3506 3579 3536 3484 3448 3406 3331 3275 2972 2568 2243 2216 2168 2192 2328 2540 2805 2952 3017 3074 3245 3098 2751 2329 2026 1962 1988 1982 1990 1861 1737 1696 1823 2159 2536 2731 2817 2931 3011 2988 2991 2885 2687 2486 2307 2116 1910 1777 1946 2236 2448 2352 1949 1788 1826 1793 1746 1691 1617 1486 1437 1446 1460 1532 1721 1895 2160 2205 2041 2073 2059 1917 1827 1825 1922 1909 1986 2016 2042 2041 2001 2035 2194 2411 2609 2824 2877 2813 2819 2700 2463 2109 1694 1559 1710 1704 1658 1619 1617 1586 1536 1472 1324 1303 1358 1353 1325 1324 1298 1264 1243 1197 1264 1391 1440
8 8 7 8 9 9 10 9 8 9 10 11 11 11 12 14 14 14 14 15 16 16 17 17 17 17 18 21 22 21 20 18 13 15 14 14 14 14 15 15 16 17 18 17 17 17 17 17 19 19 20 21 22 22 22 21 19 17 15 14 17 22 28 26 19 13 8 7 8 11 12 11 11 10 10 11 11 11 13 18 18 18 17 17 16 14 14 15 17 15 14 13 13 12 10 8 9 11 11 9 9 8 7 6 7 6 5 4 5 3 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19 178 541 984 1283 1516 1331 1132 994 735 391 114 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 0 0 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 0 0 0 1 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 9 9 9 9 8 8 7 4 3 2 3 2 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 21 110 275 489 742 1059 1453 1631 1752 1794 1755 1653 1530 1426 1328 1202 1020 817 653 503 355 220 120 72 74 107 239 333 402 418 434 472 618 836 1104 1685 2099 2613 2758 2152 1819 1682 1626 1636 1660 1706 1791 1895 1947 2058 2337 2652 2919 3085 3048 2821 2926 2760 2629 3031 3398 3532 3491 3448 3411 3230 2989 2655 2306 2142 2156 2134 2093 2067 2235 2698 2944 3023 3168 3357 3297 2996 2567 2271 2227 2065 1945 1946 1818 1700 1640 1725 2032 2451 2688 2689 2726 2830 2810 2820 2818 2802 2792 2745 2555 2318 2101 2022 2110 2353 2476 2300 2012 1902 2012 1904 1885 1734 1570 1471 1450 1436 1395 1535 1808 2134 2277 2084 1999 2059 2112 2098 1917 2109 2121 2220 2301 2316 2306 2289 2306 2403 2544 2629 2763 2872 2995 3079 3030 2838 2579 2256 2122 2168 2052 1944 1874 1829 1839 1864 1858 1735 1710 1680 1613 1503 1389 1293 1228 1208 1250 1329 1433 1446
9 9 9 10 10 9 9 9 10 10 10 10 10 11 12 13 13 13 14 15 15 16 17 17 17 17 18 22 23 21 18 15 13 14 13 13 14 14 14 15 16 17 17 17 17 17 17 17 18 18 19 20 20 21 21 21 20 18 17 16 18 22 26 24 17 12 8 7 9 12 12 11 10 11 12 12 11 12 14 17 17 17 16 16 16 15 15 15 15 13 14 13 11 10 8 9 11 11 10 9 8 7 7 7 6 5 4 5 5 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 130 495 922 1243 1457 1555 1376 1120 906 482 144 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 2 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 2 5 8 9 9 9 9 9 9 8 7 6 5 4 4 3 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 8 29 62 178 488 935 1189 1323 1429 1521 1555 1502 1430 1346 1183 959 762 592 431 274 147 70 36 41 65 130 191 235 236 238 308 514 789 1006 1440 1904 2302 2943 2499 1907 1689 1586 1574 1628 1659 1681 1735 1771 1808 1844 1962 2209 2497 2626 2562 2609 2677 2660 2786 3112 3423 3573 3626 3557 3379 3012 2559 2255 2184 2204 2195 2135 2122 2303 2612 2783 2940 3172 3395 3456 3285 2933 2640 2679 2283 1971 1953 1901 1832 1798 1822 1957 2278 2736 2598 2562 2580 2601 2625 2673 2749 2851 2982 2942 2793 2629 2465 2385 2400 2422 2373 2211 1930 2084 2033 1996 1871 1688 1515 1424 1412 1354 1411 1517 1888 2160 2095 1915 1840 2025 2316 2082 2176 2240 2342 2340 2272 2277 2388 2497 2444 2545 2481 2462 2553 2752 2992 3113 3019 2886 2778 2709 2650 2559 2464 2383 2323 2340 2383 2404 2425 2417 2328 2188 2049 1899 1671 1472 1449 1484 1535 1628 1677
9 9 10 10 9 8 8 9 10 11 10 9 10 10 11 12 13 13 14 16 14 15 16 17 17 18 20 21 23 22 16 14 14 14 14 14 13 14 14 14 15 16 17 17 16 16 17 16 16 17 18 19 20 21 20 20 20 19 17 17 18 20 21 20 16 12 9 9 10 11 11 11 11 13 13 12 11 12 14 16 16 16 16 16 16 15 14 13 13 14 12 11 10 10 11 11 10 9 9 8 7 7 6 6 5 5 4 5 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 36 420 891 1183 1385 1537 1554 1360 951 623 273 53 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 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 7 8 9 10 10 10 9 9 9 8 6 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 2 16 151 417 709 941 1127 1307 1430 1424 1348 1231 1058 864 682 514 347 191 80 33 22 27 42 64 84 99 107 132 256 515 750 927 1121 1375 1808 2323 2333 2060 1763 1598 1581 1655 1673 1649 1634 1620 1597 1573 1568 1637 1824 2047 2302 2441 2606 3118 3325 3380 3553 3695 3723 3540 3351 3091 2722 2429 2342 2327 2224 2084 2145 2068 2046 2349 2735 3117 3412 3555 3527 3389 3314 3194 2709 2103 1924 1946 1956 1978 2010 2030 2165 2661 2675 2598 2492 2440 2462 2509 2591 2692 2870 2979 2942 2882 2810 2739 2634 2401 2063 2217 2059 2136 2197 2253 2175 1944 1729 1505 1326 1297 1404 1384 1630 1870 1877 1829 1846 2020 2218 2223 2244 2253 2292 2257 2059 2006 2205 2490 2448 2364 2206 2121 2287 2617 2770 2993 3048 2973 2950 2967 2950 2927 2915 2913 2872 2875 2871 2882 2910 2914 2845 2730 2677 2572 2323 2075 1897 1772 1674 1690 1753
10 9 9 9 8 8 10 11 10 10 10 10 10 10 11 12 14 13 14 15 14 14 16 17 17 19 20 19 20 20 16 14 16 14 14 14 13 13 13 14 15 16 17 16 16 16 16 16 15 16 17 19 19 19 19 18 19 18 17 17 18 19 20 20 17 14 12 12 13 12 12 13 13 14 12 11 11 13 15 16 15 15 15 14 16 16 13 13 14 12 10 10 11 11 10 9 9 9 8 7 7 7 7 5 4 4 4 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 74 325 822 1139 1299 1454 1542 1466 1141 613 219 51 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 4 4 6 8 10 10 11 10 10 10 10 7 4 2 2 1 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 2 60 228 492 794 1078 1296 1356 1298 1180 999 801 606 418 249 120 44 19 19 25 34 42 45 47 51 101 260 496 682 875 981 1151 1501 2043 2514 2420 1826 1600 1592 1671 1695 1659 1603 1538 1476 1432 1395 1384 1444 1615 1831 2032 2112 2453 3054 3467 3571 3495 3178 3090 2891 2688 2497 2361 2325 2337 2279 2085 2143 2095 2025 2174 2567 3013 3327 3493 3494 3519 3614 3524 3109 2485 2127 2075 2106 2172 2214 2092 2119 2406 2624 2695 2576 2397 2386 2386 2423 2493 2517 2550 2606 2650 2684 2754 2844 2647 1992 1988 1984 2041 2141 2376 2667 2459 2170 1789 1353 1169 1236 1423 1613 1697 1595 1968 2118 2081 2108 2184 2259 2305 2284 2218 2085 2067 2293 2449 2389 2206 2013 1886 2098 2280 2527 2744 2902 2924 2904 2953 2985 2955 2942 2942 2947 2955 2965 2968 2957 2935 2908 2895 2914 2880 2739 2553 2379 2151 1879 1789 1771
10 9 8 8 8 8 9 9 9 9 9 10 10 10 11 12 13 12 13 15 15 15 16 16 17 18 17 15 15 16 16 13 14 14 14 13 13 13 13 14 14 15 16 16 16 15 15 15 15 16 16 18 18 18 18 18 18 18 18 17 17 18 19 20 20 17 15 16 16 15 15 14 13 12 11 12 14 15 16 15 15 15 15 14 15 15 14 15 13 10 9 10 10 9 9 9 8 8 7 7 6 5 6 5 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 59 143 354 817 1083 1243 1361 1467 1454 1247 809 314 43 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 3 3 5 7 9 11 11 11 11 11 11 8 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 9 89 298 654 1085 1305 1306 1198 1015 804 580 366 192 81 28 16 21 33 45 51 51 48 54 112 268 467 624 809 931 1067 1316 1803 2265 2131 1688 1567 1604 1676 1697 1658 1573 1463 1381 1364 1339 1307 1303 1347 1448 1623 1730 1871 2287 2816 3150 3225 2937 2880 2816 2728 2620 2535 2482 2471 2344 2190 2071 1886 1918 2141 2464 2917 3248 3398 3379 3350 3539 3604 3368 2945 2583 2441 2492 2510 2480 2234 2101 2203 2444 2623 2589 2422 2386 2344 2312 2345 2277 2159 2138 2196 2309 2483 2898 2827 2304 1932 1802 1832 1949 2288 2638 2702 2567 2239 1780 1430 1283 1385 1593 1658 1397 1667 1806 1845 1923 2059 2196 2326 2373 2311 2269 2249 2273 2256 2179 2116 2083 1962 2127 2247 2326 2357 2491 2658 2729 2709 2780 2734 2690 2683 2672 2671 2710 2724 2738 2735 2732 2739 2795 2843 2863 2909 2929 2692 2331 2080 1812
10 9 8 7 8 8 9 9 9 8 9 10 10 11 11 12 13 12 14 14 15 17 16 16 17 18 17 14 12 13 14 13 13 14 13 13 12 12 13 13 13 14 14 15 15 14 14 14 15 15 15 16 17 17 17 17 18 18 18 17 16 17 19 20 19 18 17 18 18 17 15 15 14 13 13 14 16 16 15 15 15 14 14 14 13 14 14 16 12 11 10 9 8 8 9 8 7 6 6 7 7 6 5 4 5 5 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 45 237 419 646 949 1123 1280 1427 1456 1327 942 471 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 1 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 7 9 10 11 12 11 12 13 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 6 75 337 885 1251 1323 1238 1062 846 614 386 198 94 47 29 32 53 76 90 92 86 99 186 334 484 613 750 876 1010 1143 1548 2390 1961 1655 1578 1614 1658 1675 1652 1581 1475 1365 1297 1256 1253 1224 1207 1233 1313 1402 1505 1724 2079 2537 2994 3142 3174 3149 3186 3255 3195 2941 2809 2575 2314 2037 1783 1880 2193 2403 2777 3042 3203 3215 3340 3464 3503 3423 3227 2971 2730 2786 2823 2734 2558 2383 2308 2366 2483 2462 2412 2357 2318 2245 2234 2198 2053 1908 1868 2019 2204 2642 2870 2746 2361 1955 1805 1705 1903 2214 2438 2541 2452 2253 2037 1804 1615 1636 1615 1487 1552 1611 1673 1799 1976 2133 2280 2381 2378 2328 2195 1997 1851 1925 2067 2151 2165 2189 2184 2115 2029 2055 2267 2566 2463 2484 2454 2397 2338 2265 2253 2414 2474 2514 2514 2463 2511 2613 2728 2888 3088 3255 3131 2786 2598 2484
10 9 8 8 8 9 9 9 9 9 10 10 10 10 11 11 12 12 14 14 14 16 16 16 17 18 18 15 13 12 11 13 14 14 13 12 12 12 12 13 13 14 14 14 14 14 13 13 13 14 15 16 16 17 16 16 17 17 17 17 16 17 18 19 19 19 19 19 19 18 16 16 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 14 12 11 9 9 8 8 8 7 6 6 7 7 6 5 5 5 5 5 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 24 179 320 516 717 933 1165 1375 1513 1458 1146 590 195 34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 5 6 8 10 12 12 12 14 14 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 16 117 756 1158 1281 1225 1076 887 674 447 264 166 117 89 89 108 137 162 173 174 211 338 443 537 637 765 876 979 1084 1256 2003 1934 1709 1635 1605 1601 1627 1639 1589 1500 1409 1312 1251 1202 1167 1137 1119 1134 1187 1243 1361 1627 2046 2569 2996 3212 3146 2903 2911 3169 2992 2833 2675 2367 2087 1908 1841 2038 2310 2564 2716 2921 2974 3095 3266 3331 3277 3159 2997 2836 2849 2865 2842 2808 2743 2613 2486 2445 2426 2388 2331 2303 2280 2263 2220 2097 1892 1747 1851 2019 2324 2703 3037 3011 2501 2127 1783 1717 1780 1974 2135 2239 2303 2372 2474 2175 1967 1816 1745 1762 1771 1755 1849 1981 2072 2189 2309 2347 2288 2123 1854 1596 1787 2018 2164 2217 2229 2193 2045 1864 1807 2019 2326 2337 2284 2254 2225 2166 2133 2166 2255 2322 2367 2397 2431 2463 2501 2599 2821 3060 3186 3064 2751 2537 2442
9 9 8 8 9 9 8 8 9 10 11 10 10 10 11 11 12 13 13 14 14 16 17 16 16 16 17 17 15 13 12 14 13 14 12 11 12 11 12 12 13 13 13 13 13 13 13 13 13 13 14 15 15 16 16 16 16 16 16 16 16 16 17 18 19 18 19 19 18 18 17 17 16 15 14 13 13 13 12 12 12 11 12 12 12 12 11 10 11 11 9 8 8 8 7 6 6 7 7 6 5 4 5 5 5 4 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 37 86 233 467 728 1032 1322 1538 1616 1409 795 245 38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 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 6 7 9 11 12 13 15 13 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 524 891 1089 1139 1075 938 759 560 457 314 233 192 181 194 221 248 258 253 357 464 549 627 712 839 935 956 1043 1225 1666 1858 1772 1664 1587 1571 1606 1634 1604 1524 1433 1341 1289 1228 1176 1139 1105 1082 1077 1124 1224 1432 1729 2135 2544 2821 2811 2375 2245 2305 2327 2312 2475 2483 2225 2016 1989 2198 2371 2658 2810 2916 2940 2974 3066 3115 2993 2870 2830 2748 2693 2729 2804 2860 2893 2802 2624 2461 2351 2349 2297 2281 2370 2418 2269 2138 1956 1811 1796 1900 2078 2346 2771 3091 2953 2671 2386 2168 1951 1874 1936 2007 2033 2165 2356 2356 2238 2078 1961 1963 1980 1962 1988 2055 2098 2172 2257 2306 2274 2149 1970 1828 1891 2015 2143 2210 2216 2157 1987 1836 1753 1901 2117 2244 2267 2222 2211 2178 2164 2178 2201 2242 2291 2340 2367 2371 2389 2508 2677 2848 2887 2678 2376 2233 2227
10 9 9 9 9 9 8 9 9 10 11 10 10 10 11 11 11 12 13 14 14 15 17 17 16 16 18 17 16 13 11 11 13 13 13 12 11 11 12 12 13 13 13 13 13 13 13 13 13 12 13 13 14 16 17 17 16 15 15 15 16 16 16 16 16 16 17 17 17 17 17 16 15 14 13 13 12 12 11 11 11 10 12 11 11 11 11 10 9 8 8 8 7 6 6 6 6 6 6 5 5 4 5 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 67 257 517 809 1166 1502 1719 1683 1246 497 46 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 7 10 11 12 14 11 7 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 3 201 443 730 971 1058 993 845 661 532 434 355 300 276 281 303 323 328 296 394 516 597 682 773 880 972 1009 1102 1284 1569 1771 1763 1666 1607 1607 1639 1652 1623 1545 1450 1372 1324 1280 1228 1166 1104 1102 1024 1131 1212 1320 1506 1779 2080 2252 2322 2122 1917 1792 1775 1879 2181 2424 2325 2084 2022 2333 2504 2821 2984 3001 2983 2977 2956 2946 2795 2697 2634 2519 2451 2536 2737 2849 2872 2790 2688 2546 2406 2345 2303 2296 2393 2485 2359 2236 2079 1881 1767 1805 1928 2046 2275 2555 2743 2813 2758 2640 2488 2301 2277 2232 2094 2088 2122 2137 2124 2077 1972 2005 2080 2116 2110 2122 2155 2211 2260 2258 2243 2183 2112 2071 2071 2072 2110 2164 2193 2179 2057 1940 1873 1929 2074 2232 2311 2263 2264 2246 2233 2213 2208 2240 2293 2328 2362 2296 2322 2431 2540 2633 2659 2486 2306 2159 2082
11 10 10 10 9 9 9 9 10 11 11 10 10 10 10 11 11 12 13 13 14 15 17 17 17 16 18 18 17 15 13 12 13 14 14 12 12 11 11 12 13 13 13 13 12 12 12 12 12 12 13 13 14 16 16 16 16 16 15 15 15 14 14 14 14 15 15 16 16 15 15 14 13 12 12 12 11 11 11 11 11 11 12 12 11 10 10 9 8 8 8 7 6 6 6 7 7 6 5 5 5 4 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 84 285 572 883 1265 1648 1852 1576 932 291 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 1 1 1 0 0 0 0 0 0 0 1 1 2 2 3 5 6 7 9 11 11 8 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29 108 337 674 925 981 907 767 635 530 448 391 362 356 366 375 365 376 488 568 616 679 764 852 949 1072 1242 1328 1494 1762 1810 1737 1705 1686 1687 1661 1608 1531 1452 1382 1331 1299 1272 1204 1103 1123 1104 1171 1288 1392 1452 1550 1749 1863 2060 2116 1874 1639 1623 1768 2031 2399 2580 2328 2132 2299 2491 2741 2949 3040 3043 3064 2937 2837 2695 2576 2450 2389 2477 2666 2889 2900 2914 2845 2795 2716 2588 2448 2317 2301 2320 2347 2295 2164 1976 1830 1750 1728 1781 1833 1922 2027 2226 2427 2542 2596 2646 2595 2716 2649 2429 2235 2081 1940 1826 1838 1822 1926 2109 2171 2141 2115 2119 2143 2178 2146 2129 2110 2089 2080 2074 2041 2029 2077 2162 2206 2205 2144 2094 2093 2164 2306 2319 2302 2295 2285 2285 2279 2277 2311 2341 2299 2326 2305 2308 2362 2439 2498 2563 2535 2424 2274 2197
12 10 11 10 10 10 10 10 11 11 10 10 10 10 10 11 11 12 13 14 15 15 15 16 16 17 17 17 17 16 15 13 13 14 14 14 12 11 11 11 12 13 13 13 12 12 11 11 11 12 13 12 13 15 16 16 16 16 16 15 14 13 13 13 14 14 14 14 13 13 13 12 12 11 11 11 11 10 10 11 11 11 11 11 9 8 8 8 9 8 7 6 6 6 7 7 6 6 5 4 4 4 5 5 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 87 295 595 924 1279 1721 1913 1438 703 178 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 0 0 0 0 0 0 2 2 2 3 4 4 5 5 6 8 5 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 91 286 564 818 917 851 729 613 530 472 430 405 405 412 406 424 528 597 636 684 744 809 899 1008 1166 1304 1540 1727 1827 1886 1902 1801 1713 1665 1604 1521 1439 1374 1326 1297 1284 1237 1160 1164 1200 1255 1372 1489 1529 1551 1602 1653 1786 1996 1857 1685 1674 1751 1867 2041 2132 2280 2200 2246 2425 2641 2894 3140 3262 3209 3040 2819 2631 2498 2427 2459 2624 2838 2933 2868 2960 2988 2980 2940 2835 2658 2392 2322 2268 2206 2089 1911 1784 1758 1743 1682 1651 1650 1712 1778 1871 1994 2110 2218 2280 2460 2686 2706 2569 2405 2255 2069 1807 1683 1624 1643 1859 2025 2031 2006 1981 1968 1982 1956 1930 1920 1922 1919 1902 1871 1880 1925 2029 2129 2205 2243 2239 2184 2217 2293 2288 2278 2285 2302 2325 2357 2379 2392 2387 2342 2320 2333 2355 2369 2414 2486 2547 2522 2424 2310 2240
13 12 11 10 10 11 10 11 11 10 10 11 10 10 11 12 12 12 13 13 14 15 15 15 16 16 17 17 16 14 13 13 14 14 14 13 11 12 11 11 11 12 12 12 12 12 11 10 11 12 12 13 13 14 15 15 16 16 16 16 14 13 14 14 13 13 12 12 12 12 12 12 11 11 10 10 10 9 9 10 10 10 8 8 8 8 8 8 8 7 6 6 7 7 7 6 5 4 4 4 4 4 4 5 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 94 311 611 916 1212 1671 1892 1341 580 128 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 3 1 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 4 5 4 2 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 66 228 503 782 857 812 726 644 576 518 480 491 475 442 439 522 600 651 705 761 788 879 917 1005 1199 1481 1756 1975 2124 2214 2058 1886 1763 1668 1571 1468 1381 1325 1295 1279 1250 1212 1208 1287 1355 1398 1479 1558 1617 1587 1598 1581 1719 1773 1679 1647 1682 1745 1728 1710 1943 2231 2430 2538 2637 2937 3265 3279 3100 2810 2652 2537 2440 2406 2480 2659 2773 2811 2772 2844 2922 2965 2998 2962 2890 2730 2534 2348 2193 2055 1867 1673 1654 1652 1643 1585 1558 1595 1654 1698 1751 1800 1896 1927 2200 2435 2526 2529 2524 2465 2307 2073 1868 1700 1614 1662 1775 1795 1789 1799 1774 1745 1737 1743 1758 1778 1756 1721 1729 1743 1778 1882 2013 2112 2168 2189 2133 2150 2189 2213 2225 2245 2275 2310 2369 2398 2396 2393 2396 2400 2378 2395 2393 2423 2461 2474 2454 2394 2309 2228
15 13 12 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 13 13 13 14 15 15 16 17 17 16 14 12 9 10 14 15 14 12 12 13 12 10 11 12 12 12 12 12 11 11 11 12 12 13 13 13 13 15 16 16 15 14 14 13 13 12 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 9 9 8 8 8 8 8 8 8 6 6 6 6 6 6 5 5 5 4 5 4 5 4 4 4 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 94 329 614 837 1064 1458 1706 1081 357 64 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 3 3 2 1 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 36 91 460 715 814 809 755 690 633 611 620 592 559 562 592 633 678 722 778 786 851 862 908 1055 1294 1592 1932 2229 2459 2376 2193 1948 1768 1644 1508 1395 1333 1303 1279 1249 1233 1220 1248 1317 1378 1443 1548 1598 1610 1634 1654 1739 1824 1810 1747 1635 1681 1589 1527 1641 1854 2122 2441 2579 2922 3051 3080 3015 2838 2650 2523 2446 2387 2404 2496 2558 2603 2639 2683 2721 2762 2821 2849 2876 2870 2737 2516 2287 2084 1879 1719 1627 1581 1613 1593 1577 1602 1606 1598 1648 1667 1755 1900 2050 2182 2289 2353 2470 2503 2433 2337 2179 2028 1942 1862 1715 1600 1603 1650 1658 1611 1585 1624 1655 1685 1676 1636 1616 1627 1663 1729 1816 1898 1985 2013 2029 2063 2122 2168 2173 2190 2220 2224 2276 2306 2309 2300 2294 2308 2327 2342 2387 2423 2437 2449 2458 2407 2315 2243
17 15 15 12 11 11 11 11 11 10 10 10 10 10 11 12 13 12 13 13 14 14 14 15 16 15 15 15 15 13 12 12 15 17 15 11 11 12 12 10 10 12 12 12 12 11 11 11 11 11 12 12 13 13 14 14 14 14 13 13 13 12 11 11 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 6 7 6 5 4 5 5 5 5 4 4 5 4 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 117 335 569 693 836 1143 1352 891 209 27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 243 556 793 881 855 791 729 727 732 701 666 654 667 696 716 730 775 789 820 837 832 894 1069 1274 1655 2149 2498 2488 2258 1982 1799 1683 1547 1430 1351 1308 1287 1259 1241 1221 1200 1220 1302 1435 1585 1620 1635 1642 1672 1740 1769 1743 1745 1605 1554 1447 1349 1337 1444 1706 2275 2654 2912 3024 2966 2864 2802 2702 2595 2553 2459 2440 2408 2383 2394 2457 2547 2569 2572 2633 2678 2743 2792 2766 2619 2373 2159 1953 1758 1630 1584 1608 1611 1588 1593 1599 1560 1586 1599 1663 1785 1879 1934 2013 2055 2166 2272 2334 2335 2276 2180 2103 2059 1915 1719 1638 1623 1649 1643 1549 1579 1592 1623 1620 1585 1557 1549 1570 1638 1686 1726 1807 1879 1947 2009 2067 2129 2139 2144 2157 2155 2171 2190 2186 2165 2168 2187 2189 2245 2319 2338 2346 2413 2448 2435 2385 2388
18 17 17 15 12 12 11 11 11 11 10 10 10 11 11 12 12 13 13 14 14 13 14 14 15 15 16 16 15 16 16 16 17 18 15 12 12 13 12 11 11 12 12 12 12 11 11 12 11 11 11 12 12 13 14 14 13 13 13 12 12 11 11 10 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 8 9 9 8 7 6 6 6 7 7 6 6 5 5 5 5 5 5 5 4 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 111 299 451 492 555 782 933 626 113 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 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 11 162 464 779 933 922 866 809 788 769 741 717 703 717 765 764 772 790 794 810 856 836 792 938 1038 1443 2002 2497 2603 2325 1965 1764 1648 1562 1482 1384 1324 1301 1278 1258 1243 1222 1209 1229 1381 1542 1621 1643 1624 1594 1593 1574 1542 1539 1514 1441 1351 1274 1234 1295 1453 1952 2595 2790 2763 2721 2695 2558 2426 2336 2359 2405 2540 2565 2398 2232 2250 2376 2438 2456 2471 2520 2598 2636 2612 2522 2389 2182 1920 1805 1718 1660 1632 1615 1625 1642 1582 1542 1557 1583 1596 1607 1647 1702 1756 1785 1874 1949 1990 2019 2026 2027 2050 2191 2128 1977 1829 1717 1707 1720 1662 1633 1610 1602 1580 1556 1559 1551 1557 1637 1643 1659 1720 1796 1882 1953 2002 2043 2095 2119 2124 2118 2110 2108 2109 2109 2123 2088 2083 2156 2235 2236 2228 2295 2342 2396 2405 2440
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