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 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 3 3 3 3 3 3 3 3 3 3 4 5 6 6 6 5 4 4 4 4 4 4 5 6 7 8 8 7 5 4 3 4 5 6 6 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 3 4 5 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 5 6 6 6 6 5 5 6 6 6 6 5 5 4 4 4 5 5 6 6 6 6 7 7 6 5 4 4 5 5 6 6 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 9 10 11 14 17 18 17 16 14 10 6 2 2 5 8 5 1 1 5 13 15 9 4 5 6 7 7 7 5 4 4 4 4 4 5 6 6 5 5 6 6 6 6 7 8 10 11 13 15 17 16 13 10 11 13 13 11 8 5 4 7 10 12 14 13 11 10 9 8 6 4 1 0 2 3 2 1 1 2 2 2 -0 -5 -10 -10 -6 -1 3 8 15 20 19 14 8 5 5 5 5 5 5 5 4 4 4 6 8 8 7 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 10 11 11 10 11 16 17 12 8 7 7 7 6 5 6 5 4 5 7 7 7 7 7 7 6 5 5 5 6 6 2 -5 -12 -12 -5 1 0 -2 1 5 7 7 7 7 7 7 6 5 4 4 4 3 3 3 3 3 3 3 4 5 6 7 7 6 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 4 5 10 17 20 21 22 19 15 12 9 6 4 2 2 3 3 4 4 5 6 7 9 10 10 8 3 -1 -1 -1 0 1 -4 -9 -5 4 7 9 10 13 14 13 10 8 6 6 6 6 6 5 5 5 5 5 5 4 4 4 3 4 5 6 7 8 8 8 8 6 4 3 2 2 3 3 2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 2 2 3 3 4 4 4 4 4 4 4 4 3 2 2 1 1 2 4 8 12 nan
nan 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 5 6 6 6 5 5 4 4 4 4 4 5 6 8 8 8 8 6 4 4 4 5 6 6 5 4 4 4 3 3 3 4 4 5 5 5 5 6 6 6 5 5 5 5 4 4 4 6 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 2 2 3 4 5 6 6 6 6 6 7 7 7 6 6 5 5 5 5 6 5 5 5 5 6 7 6 6 5 5 5 5 5 6 6 7 8 8 8 7 7 7 6 6 6 6 6 7 7 7 8 8 9 9 10 11 12 15 17 16 16 17 16 12 7 3 2 5 5 3 3 3 4 7 8 5 4 5 6 6 6 5 4 3 3 4 4 4 5 6 5 5 5 7 7 7 7 7 9 10 12 13 15 16 15 11 7 7 10 12 12 10 7 5 6 7 8 11 12 12 11 8 5 3 2 0 1 5 5 4 2 2 3 3 2 -2 -7 -8 -4 0 4 8 15 20 21 16 10 6 5 5 5 5 5 5 5 4 4 5 6 8 8 7 5 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 8 9 10 11 10 11 13 14 10 8 8 8 7 6 6 6 5 4 5 6 7 6 7 7 7 7 6 5 4 5 6 5 -0 -8 -13 -9 0 1 -5 -5 1 5 6 6 7 7 7 7 6 5 4 4 3 3 3 3 2 2 3 3 5 6 7 7 6 6 5 4 4 4 5 5 5 5 5 5 4 4 4 4 5 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 5 5 6 6 6 5 4 4 5 4 4 4 4 5 8 13 17 21 19 15 12 11 10 8 6 6 6 7 8 8 6 5 6 8 9 9 6 4 4 4 3 2 4 4 0 0 4 7 9 11 13 15 14 11 7 5 4 3 3 4 5 5 5 5 5 5 4 4 3 3 4 4 4 5 6 7 8 8 7 6 5 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 2 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 3 3 2 1 1 2 4 7 12 nan
nan 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 5 6 6 6 5 5 4 4 4 4 5 6 7 8 8 7 6 5 5 5 5 6 6 5 5 4 4 4 3 3 3 4 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 5 4 3 3 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 4 4 3 3 3 4 4 5 5 5 5 6 7 8 7 7 6 6 5 6 6 6 5 5 5 5 6 6 7 7 6 6 5 5 5 5 6 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 11 11 12 14 14 14 15 15 15 13 9 6 6 7 6 4 5 6 5 4 4 3 4 6 6 5 4 3 3 3 3 4 4 4 5 5 5 5 6 6 7 7 7 7 8 9 10 11 11 12 10 7 5 5 7 9 11 10 8 6 4 3 4 7 10 12 10 7 4 2 2 2 4 7 7 5 3 3 4 2 -2 -6 -7 -4 0 5 9 15 21 22 18 12 7 5 5 5 5 5 5 5 5 4 4 5 7 8 8 7 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 7 8 9 10 10 12 14 13 8 6 8 8 6 6 6 6 6 5 5 6 6 6 6 7 7 7 7 5 4 5 6 6 4 -2 -10 -11 -2 4 -2 -8 -4 3 5 6 6 7 7 7 7 6 5 4 4 3 3 2 2 2 2 3 4 5 6 7 7 6 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 6 6 6 5 4 4 4 5 4 3 3 3 4 7 11 16 16 12 8 9 9 8 6 6 8 10 12 13 9 5 6 7 8 7 5 4 5 6 3 2 5 8 8 7 7 8 8 10 12 15 15 12 7 4 4 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 7 6 5 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 5 5 4 4 3 2 2 1 2 3 6 9 nan
nan 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 5 5 4 4 4 5 5 6 6 6 5 4 4 4 4 5 6 7 8 7 7 6 6 5 5 5 5 6 5 5 5 4 4 4 3 3 4 5 5 5 4 5 6 6 6 6 6 6 5 5 5 5 4 3 3 3 4 5 5 5 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 4 4 4 4 4 3 3 3 4 5 4 4 4 3 4 4 4 4 4 5 5 5 5 6 7 8 8 8 7 7 7 7 6 5 4 4 5 5 6 7 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 11 12 12 11 10 10 8 7 8 8 8 8 8 7 5 5 6 6 5 4 3 4 6 6 5 4 3 3 3 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 4 4 4 5 6 6 6 4 2 1 1 3 7 10 9 6 3 2 2 3 5 7 7 6 4 4 3 -2 -6 -7 -4 1 5 11 18 23 24 20 13 7 5 5 5 5 5 5 5 4 4 4 4 5 7 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 7 8 9 10 12 16 15 8 5 7 7 6 5 5 6 7 7 6 6 7 6 6 6 6 6 7 6 5 5 5 6 5 2 -5 -10 -6 2 2 -3 -4 1 4 5 5 6 7 8 8 7 6 5 4 4 3 2 2 2 2 3 4 5 6 7 7 7 6 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 5 6 6 6 4 3 4 4 4 2 1 1 2 4 8 12 13 8 5 6 7 6 5 5 7 9 14 15 12 8 8 9 8 8 7 5 6 6 4 3 5 8 10 10 9 8 8 8 10 13 14 11 8 5 4 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 2 2 2 2 3 4 4 5 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 3 2 2 1 1 2 4 7 nan
nan 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 5 6 6 7 6 6 5 4 4 4 5 6 6 6 5 5 4 4 4 5 6 7 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 5 6 6 5 5 6 5 5 5 5 4 4 4 4 4 4 5 4 4 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 3 3 3 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 6 7 8 9 9 8 8 7 6 5 4 4 5 5 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 8 8 8 9 9 9 9 9 10 10 10 11 10 9 5 -0 -2 -0 2 4 8 9 8 6 5 5 5 5 5 5 6 6 6 5 3 3 4 4 4 5 5 5 4 5 6 6 7 7 7 7 7 6 5 4 3 2 1 0 0 1 2 3 3 2 2 2 2 2 1 -0 -1 2 6 9 8 6 4 4 4 3 4 5 6 5 4 4 1 -4 -5 -3 1 6 13 20 25 26 21 14 8 5 5 5 5 5 5 4 4 4 4 4 5 6 7 8 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 7 9 10 12 17 18 11 5 6 7 7 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 4 0 -5 -8 -6 -2 -1 1 2 4 4 5 6 7 8 8 8 7 6 5 4 3 2 1 1 2 3 3 4 5 6 7 7 7 6 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 5 6 7 7 5 4 3 3 4 2 -2 -4 -2 2 7 10 9 5 3 5 6 6 5 5 6 8 11 14 13 11 12 13 13 12 10 8 7 6 6 5 6 8 10 11 10 9 7 6 7 9 10 10 9 7 5 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 2 2 2 3 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 3 2 2 1 2 3 5 nan
nan 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 6 7 7 6 6 5 5 5 5 5 6 6 5 5 5 4 4 5 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 6 7 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 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 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 8 8 7 5 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 9 5 -2 -6 -6 -4 -0 5 8 7 5 4 4 5 5 6 6 6 6 4 3 4 5 6 6 6 6 6 5 4 4 4 4 6 7 7 6 6 6 5 5 4 3 1 -1 -3 -2 -1 1 3 3 2 0 1 3 3 1 1 3 6 8 7 5 5 6 5 3 2 3 4 4 4 3 -0 -3 -2 2 7 14 22 27 27 22 15 9 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 8 9 11 16 19 15 8 6 6 7 7 7 6 6 6 5 5 6 7 7 7 7 6 7 7 7 7 6 5 5 5 4 1 -5 -11 -12 -6 1 4 4 4 5 6 6 7 8 8 8 8 7 5 4 2 1 1 2 3 3 3 4 6 7 8 8 7 6 4 4 4 5 5 5 5 4 4 3 3 3 4 4 4 4 4 5 6 6 6 5 5 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 5 6 7 8 7 5 3 3 5 4 -1 -4 -3 0 5 9 7 4 3 4 6 6 5 5 5 6 8 9 9 9 13 16 17 15 12 8 6 5 5 6 7 8 9 10 10 9 8 6 5 6 7 8 10 10 7 5 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 4 4 4 3 4 4 3 2 2 2 2 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 3 2 2 1 2 2 4 nan
nan 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 5 5 5 4 4 5 5 5 4 4 5 5 5 4 3 3 3 3 5 6 5 4 4 5 5 4 4 5 4 4 4 5 5 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 4 4 5 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 5 5 5 5 5 4 3 4 4 4 4 3 4 4 4 3 4 5 5 5 5 7 7 8 7 7 6 4 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 10 11 11 9 6 2 -2 -4 -4 -1 4 6 5 4 4 5 5 5 5 6 6 4 3 3 4 6 8 9 9 9 8 8 7 6 4 4 4 5 5 5 4 5 5 6 7 8 6 3 0 -1 -1 0 3 5 5 3 2 5 6 5 4 5 7 8 6 4 5 7 6 3 1 2 3 4 4 2 -2 -2 1 7 15 22 27 26 21 14 9 5 4 4 4 4 4 4 4 3 3 3 4 5 6 6 7 7 8 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 10 15 20 18 11 7 6 6 6 7 6 5 5 5 5 6 7 8 8 7 6 6 6 6 6 6 6 6 5 5 4 1 -8 -16 -13 -2 4 5 5 5 6 6 7 8 9 9 9 8 7 5 3 2 1 2 2 2 3 4 5 6 7 8 8 7 5 4 4 4 5 5 5 4 4 3 3 3 3 4 4 4 5 5 6 6 6 6 5 4 4 3 3 2 3 3 4 4 3 3 3 3 3 3 4 5 6 8 9 10 8 4 2 4 6 2 -1 -0 2 5 7 6 4 4 4 5 5 6 6 6 6 7 6 2 1 6 12 14 14 10 7 5 4 4 5 6 7 8 9 10 11 9 6 3 3 4 6 9 11 10 7 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 3 3 2 2 1 2 2 nan
nan 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 4 5 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 4 4 5 6 7 7 6 6 5 5 4 3 5 6 5 4 4 4 5 5 4 3 3 3 4 5 5 4 4 5 6 5 4 5 5 4 4 4 5 5 5 5 5 4 4 4 4 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 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 7 7 6 6 5 4 3 4 4 4 5 5 5 5 6 7 8 8 8 7 7 7 7 7 6 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 9 10 10 9 5 3 4 3 1 1 4 4 4 4 5 6 6 4 4 4 4 4 4 4 5 6 8 10 10 10 10 11 9 8 6 4 3 2 2 2 2 3 4 7 10 12 11 8 5 3 1 2 4 6 7 5 4 6 7 6 5 6 9 10 8 5 5 7 6 4 2 2 3 5 5 1 -3 0 7 15 21 25 24 19 12 8 5 4 4 4 4 4 4 4 3 3 3 3 4 5 6 6 6 7 8 9 8 7 6 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 12 19 21 16 10 7 6 6 7 7 6 6 6 6 6 7 7 8 7 6 5 5 5 5 6 7 7 6 5 5 4 -2 -13 -15 -5 3 5 5 6 6 6 7 8 9 10 10 10 8 6 4 2 1 1 2 2 2 3 4 5 7 8 8 8 7 5 4 4 5 5 5 5 4 3 3 3 3 4 4 4 5 5 5 6 6 6 6 5 4 3 2 2 2 2 3 3 4 3 3 3 3 3 4 5 6 8 11 14 13 7 2 3 5 4 1 3 4 5 6 6 5 5 5 5 5 5 5 5 6 9 7 1 -4 -2 5 8 8 7 5 5 5 4 4 4 5 6 7 9 12 13 10 4 1 1 2 4 8 11 8 6 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 5 4 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 3 2 2 1 1 2 nan
nan 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 5 5 5 5 6 6 6 5 5 4 4 4 5 6 6 5 4 4 4 5 7 8 7 6 5 4 4 4 5 6 6 5 4 5 5 5 4 4 3 4 5 5 4 3 4 5 5 4 5 5 5 5 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 7 7 6 5 4 3 4 4 4 5 5 5 5 5 6 7 8 8 8 8 8 8 8 7 6 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 7 5 4 6 7 7 6 6 5 5 6 6 6 4 3 2 3 3 4 5 6 6 5 6 8 10 10 10 10 9 7 6 4 1 0 1 2 3 3 3 6 9 11 11 10 8 5 3 2 4 6 6 4 3 4 5 5 3 4 8 11 10 6 6 6 6 5 4 4 5 6 4 1 1 8 15 21 23 20 15 10 7 5 4 4 4 4 4 4 4 3 3 3 3 3 4 6 6 6 5 6 7 7 7 7 7 6 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 9 15 21 22 18 13 9 8 9 9 9 8 8 7 6 6 6 7 8 7 6 6 5 5 6 8 9 7 6 5 5 1 -9 -13 -5 3 5 5 5 6 6 6 7 8 9 10 10 10 8 5 3 2 1 1 2 2 2 3 4 6 7 8 8 8 6 5 4 4 4 5 5 4 3 3 3 3 3 4 4 5 5 5 6 6 7 6 6 4 3 2 2 2 2 2 3 3 4 3 3 3 4 4 5 6 9 12 17 16 10 3 2 4 3 2 3 4 5 5 5 6 6 5 5 5 5 4 2 4 9 13 7 -1 -3 2 5 6 6 6 5 5 5 4 4 4 5 6 8 12 16 16 11 6 4 2 0 3 7 8 8 8 8 6 4 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 4 3 3 2 2 2 2 1 1 1 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 3 3 2 2 1 1 nan
nan 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 4 4 4 3 3 4 5 5 6 6 6 6 6 5 4 3 4 5 5 6 5 4 4 4 5 6 8 8 7 5 4 4 3 4 5 6 5 5 5 5 5 5 4 4 5 5 4 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 6 7 7 7 6 4 3 3 4 4 4 5 5 5 5 5 6 7 8 9 9 9 8 8 8 7 6 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 8 9 9 9 7 7 7 7 5 4 3 2 2 2 1 3 5 6 5 4 4 6 8 8 8 8 7 7 5 3 1 -0 1 3 5 4 4 5 7 8 9 8 6 4 2 2 4 6 5 2 0 2 4 4 3 3 6 9 10 7 6 6 5 5 4 5 6 6 4 4 10 18 22 22 18 13 8 5 5 4 4 4 4 4 4 4 4 4 3 3 2 3 4 6 6 5 5 5 6 6 5 6 6 6 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 6 9 15 20 22 20 16 14 14 14 14 14 12 10 8 6 5 6 7 7 7 7 7 6 7 9 9 8 7 6 6 2 -5 -9 -3 3 5 5 5 5 5 5 6 7 9 10 11 11 9 7 5 2 1 1 1 1 2 3 3 5 6 7 8 8 8 6 4 3 3 3 4 4 4 3 3 3 3 4 4 5 5 5 5 6 7 7 7 5 4 3 2 2 2 2 2 3 4 4 3 3 4 4 5 7 10 14 16 14 9 5 3 3 3 3 4 5 5 4 4 5 6 7 6 5 5 4 0 -1 5 13 11 4 2 3 5 5 6 5 5 6 5 5 5 5 5 5 6 9 14 17 16 14 12 9 3 1 5 8 9 10 10 8 7 5 4 4 4 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 1 1 1 1 1 1 2 2 3 3 3 3 4 4 5 4 4 4 5 5 5 5 4 4 3 3 2 2 1 1 nan
nan 4 4 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 4 4 3 4 5 5 6 6 7 6 6 5 4 3 3 4 5 5 5 5 4 4 4 5 7 7 7 5 4 3 3 3 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 6 6 7 6 4 3 2 3 4 4 5 5 5 5 5 5 6 7 8 9 9 9 9 9 8 7 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 1 1 3 6 9 9 8 8 8 8 9 7 3 2 2 3 2 1 0 2 4 5 5 5 5 6 7 7 7 6 6 6 6 5 3 2 2 4 6 5 4 3 5 6 6 6 5 3 2 3 5 7 5 1 -1 2 5 6 4 3 4 6 8 7 6 5 4 4 4 5 6 7 7 12 20 24 22 17 11 7 5 4 4 4 4 4 4 5 5 5 4 4 3 3 2 3 4 6 6 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 8 12 16 19 19 19 19 20 21 20 19 17 14 11 9 7 5 4 6 8 9 10 11 12 11 9 8 8 7 2 -4 -5 -1 4 5 5 5 5 4 5 5 6 8 9 11 11 11 9 7 4 2 1 1 1 2 2 3 4 5 7 8 9 9 7 4 1 -1 -1 1 4 4 4 3 3 3 4 4 4 5 5 5 6 7 7 7 6 5 3 2 2 2 1 2 3 4 4 3 3 3 4 5 7 12 16 15 10 8 6 4 3 3 4 5 6 6 5 4 5 6 6 5 5 7 8 3 -1 2 6 8 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 7 9 11 12 12 15 14 9 6 6 8 10 10 10 10 9 7 5 4 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 1 1 1 0 0 1 2 3 3 3 3 4 5 5 5 5 4 5 5 5 5 5 4 4 3 2 2 1 1 nan
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nan 10 10 9 9 10 11 12 13 14 13 11 10 9 9 9 9 9 8 8 9 10 12 12 13 13 14 14 14 15 15 16 15 14 12 10 7 5 6 6 7 8 9 10 10 10 11 11 12 13 13 14 14 14 14 13 13 12 12 12 13 14 14 15 14 14 13 13 12 12 12 12 13 13 13 13 13 14 14 14 14 13 13 12 11 11 12 13 13 14 15 16 17 17 17 16 15 13 13 13 13 13 14 14 14 15 15 15 15 14 14 14 14 14 14 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 11 10 8 7 7 7 9 10 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 14 15 17 17 17 16 14 11 8 5 3 4 7 11 15 16 16 14 13 13 13 13 13 14 14 14 14 13 13 12 12 12 12 13 13 13 12 13 13 13 14 14 14 14 14 14 14 14 14 15 15 16 16 16 15 15 15 15 14 14 13 13 13 13 13 13 12 12 12 12 12 12 14 16 19 23 24 24 20 18 16 15 15 15 15 16 16 16 16 16 15 14 14 14 13 13 12 12 11 11 10 10 9 9 9 9 10 11 11 10 9 7 6 6 6 7 9 10 10 11 12 13 14 13 13 11 8 7 6 5 6 7 8 8 9 10 10 11 11 11 12 13 13 14 14 14 14 14 14 15 14 13 12 12 13 12 11 10 10 11 12 13 13 13 13 13 14 14 14 14 15 15 17 18 19 19 18 17 15 13 13 12 12 11 11 12 12 11 8 6 4 6 9 13 17 19 18 16 14 14 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 15 16 16 17 16 16 16 15 15 14 14 14 14 15 15 15 16 16 18 19 20 20 19 18 18 19 19 20 20 20 19 19 18 17 16 16 16 15 14 14 13 13 12 12 12 12 13 14 14 14 14 13 12 12 11 10 10 10 10 11 nan
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nan 11 11 10 10 10 10 10 9 9 8 7 8 9 10 12 11 10 8 7 7 9 11 12 14 15 15 16 15 14 13 11 9 7 6 5 5 4 4 5 5 7 8 9 10 10 11 12 12 13 13 13 13 12 12 11 11 11 11 12 12 13 14 14 14 13 13 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 13 13 13 14 14 14 15 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 14 14 14 14 13 13 12 12 12 11 11 11 12 12 12 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 13 13 12 12 11 10 10 9 9 9 10 11 13 13 13 13 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 12 13 13 13 12 11 11 10 10 10 10 10 10 9 11 14 19 22 24 21 16 14 12 11 12 13 13 14 14 14 14 13 13 12 12 12 12 12 13 13 14 14 13 13 14 15 15 16 16 16 16 15 16 16 16 17 17 17 16 15 14 13 13 14 14 15 15 14 14 13 12 13 14 16 19 21 23 25 25 26 25 22 19 17 16 15 15 15 15 16 16 15 15 14 14 13 13 13 12 12 12 11 11 10 10 9 9 9 10 11 11 11 11 10 8 6 5 5 6 6 8 8 9 9 10 11 12 13 14 14 13 12 11 9 8 7 7 7 8 9 10 11 11 11 12 12 12 12 12 12 12 12 13 14 14 15 15 14 13 13 13 12 13 12 12 12 12 12 12 12 12 12 12 12 12 13 14 17 19 20 20 18 15 12 10 10 11 11 10 10 10 11 11 11 11 11 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 14 14 14 15 15 16 16 16 15 15 14 14 14 14 14 14 14 15 15 16 17 18 18 18 17 16 16 17 17 18 19 19 18 17 16 14 14 14 13 13 13 13 13 13 13 13 13 13 14 14 15 14 14 14 13 13 12 12 11 11 10 10 11 nan
nan 10 9 9 9 10 10 10 10 9 7 7 7 8 9 10 11 10 9 9 10 12 13 15 16 17 18 17 16 14 12 9 7 6 5 4 4 5 5 5 5 6 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 11 12 13 13 13 14 14 13 13 13 13 13 12 12 12 11 11 11 11 11 10 10 11 11 12 13 13 14 14 14 14 15 15 15 16 16 16 16 15 14 14 13 13 13 12 12 12 12 12 12 13 13 14 14 14 14 13 13 12 11 11 11 11 11 12 12 13 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 15 16 16 15 14 13 12 13 14 13 13 12 12 11 10 10 10 11 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 9 9 9 9 10 11 11 12 12 12 11 10 10 10 11 11 12 13 13 12 11 10 10 10 10 10 10 11 11 13 15 17 19 19 18 14 12 11 11 12 12 13 13 14 14 14 14 14 13 13 12 12 13 13 13 13 13 13 13 13 14 14 15 16 16 16 16 16 15 15 16 16 16 16 15 14 12 12 12 13 14 14 14 14 13 12 12 14 17 22 26 26 26 24 23 21 20 18 16 16 15 15 15 15 15 15 15 15 14 14 13 13 12 12 12 11 11 10 10 9 9 9 9 10 11 11 11 11 10 8 6 5 5 5 6 7 7 8 8 9 9 10 11 12 14 15 14 14 12 10 8 7 7 7 8 10 10 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 15 17 20 22 21 18 15 12 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 15 15 15 15 15 15 16 15 15 15 15 14 14 14 14 15 15 15 15 15 15 14 14 14 14 14 14 14 15 15 16 17 18 18 18 17 15 14 15 16 17 17 17 16 15 14 14 14 14 14 14 14 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 12 12 11 11 11 11 12 nan
nan 10 9 9 8 8 9 9 9 9 8 8 8 7 7 7 8 10 11 11 12 14 15 16 18 19 18 17 16 14 11 8 7 6 5 5 5 5 5 5 5 7 8 9 11 12 12 13 13 12 12 12 11 11 11 11 11 12 13 14 14 15 14 14 13 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 12 13 13 14 14 14 14 15 15 16 17 17 17 16 16 14 14 13 13 12 12 11 11 11 11 11 11 12 13 14 14 14 14 13 13 12 12 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 12 13 13 13 13 13 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 15 16 16 15 15 14 13 13 12 11 11 10 10 9 10 10 12 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 9 10 11 11 12 12 12 11 11 10 10 11 12 13 13 12 12 11 10 11 11 11 11 12 12 12 13 14 14 15 15 14 13 12 12 12 13 14 14 15 15 15 15 15 14 14 13 13 13 13 13 13 13 13 13 13 13 13 14 14 15 16 16 16 16 16 15 15 16 16 16 16 15 13 12 11 11 12 14 14 14 14 14 14 16 19 22 25 26 25 22 19 17 16 16 16 15 15 15 15 15 15 15 15 14 14 13 13 12 12 12 11 11 11 10 10 9 9 9 9 9 10 11 11 10 9 8 7 6 5 5 6 6 7 7 7 8 9 9 10 11 12 14 14 14 13 11 8 7 7 7 8 9 10 11 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 16 18 21 23 22 19 15 12 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 14 14 14 14 14 15 15 15 15 14 14 14 14 14 14 14 14 14 15 15 16 17 18 19 18 17 16 15 15 16 17 17 17 17 17 16 16 16 16 15 15 14 14 13 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 12 11 11 12 12 nan
nan 11 10 11 9 8 8 8 9 10 10 10 9 8 6 5 4 6 8 11 13 14 15 15 16 17 16 15 14 12 10 8 7 7 7 7 8 7 7 7 7 7 9 10 12 13 14 14 14 13 13 13 12 12 12 12 13 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 11 11 10 10 10 10 11 11 12 12 13 13 13 13 13 14 14 16 17 17 17 16 15 14 13 13 12 12 11 10 10 10 10 10 11 12 13 13 14 14 14 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 10 8 7 7 8 8 9 9 9 9 10 11 11 12 13 13 13 12 11 11 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 10 11 11 12 12 12 12 11 12 13 13 14 13 12 11 10 10 10 11 12 12 12 13 13 13 13 14 14 13 12 11 10 10 11 12 13 14 15 16 16 16 16 15 15 14 14 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 16 16 16 15 15 15 16 16 16 15 13 12 12 12 13 14 15 16 17 17 17 18 20 22 23 24 22 20 17 16 15 15 15 15 15 15 15 15 15 15 14 14 14 13 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 9 8 7 6 6 6 6 7 7 7 8 8 9 10 10 11 13 14 15 15 13 11 7 6 5 5 6 8 10 11 11 12 12 13 13 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 15 18 22 23 23 19 15 13 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 16 17 18 18 18 17 17 17 17 18 19 19 19 19 19 19 18 17 16 15 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 nan
nan 11 11 11 11 10 9 9 10 11 12 12 11 9 6 4 2 2 3 6 9 12 13 14 14 13 13 13 12 10 9 8 7 7 8 9 10 10 9 8 8 8 9 11 12 13 14 14 14 14 14 13 13 13 14 14 14 15 15 15 15 15 15 14 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 15 16 16 16 16 15 14 13 13 13 12 11 11 10 10 10 10 10 11 12 13 13 14 13 13 13 12 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 15 15 14 14 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 10 6 3 -1 -3 -1 3 6 9 10 10 11 11 12 13 13 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 9 9 8 9 9 9 9 9 10 11 12 12 12 12 12 12 13 14 14 13 12 11 11 11 11 12 12 13 13 12 12 12 13 13 13 13 12 11 10 10 10 10 11 11 12 13 14 15 16 16 16 16 15 14 14 13 13 13 13 12 12 12 13 14 15 15 15 15 15 15 15 15 15 14 15 15 15 14 13 13 13 14 15 16 17 18 18 18 18 19 19 19 20 20 19 18 17 16 15 15 15 15 15 15 15 15 14 14 14 14 13 13 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 7 6 6 6 7 7 8 8 9 9 11 12 13 15 17 18 18 16 12 8 5 4 3 4 6 7 9 10 11 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 11 11 11 11 11 11 11 12 13 14 19 23 23 23 20 16 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 14 15 16 17 17 17 17 17 17 17 18 19 19 20 20 20 19 18 17 16 15 15 14 14 15 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 nan
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CAPE
0 3 5 3 2 2 4 7 7 7 9 11 12 13 14 13 14 15 17 23 26 18 16 17 17 15 12 8 9 13 15 18 18 19 16 13 10 9 10 11 12 16 19 19 24 28 32 32 30 26 21 15 14 15 19 22 22 19 14 12 12 12 12 11 11 11 11 10 10 8 6 6 4 4 5 6 6 5 4 3 3 11 13 14 36 11 6 7 3 4 12 33 63 49 90 110 111 104 102 94 141 177 176 149 125 89 106 205 238 219 173 155 281 418 367 269 369 358 239 611 172 198 169 102 110 376 538 485 473 418 388 494 642 711 682 659 737 943 1202 1270 1299 1233 1360 1469 1350 1334 1821 1726 1708 1785 1853 1928 1944 1920 1909 1771 1787 1918 2118 2374 2725 2993 2950 3028 3274 3132 2490 2003 1906 1959 2151 2365 2509 2635 2752 2798 2662 2593 2636 2676 2761 2702 2756 2962 3068 3216 3452 3462 3445 3349 3289 3144 2972 2869 2842 2721 2606 2664 2924 3166 3081 2650 2010 1255 539 117 26 90 138 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 6 6 7 6 4 5 8 10 8 4 2 1 1 0 0 1 3 10 35 91 153 166 132 101 90 92 91 78 67 67 77 101 128 159 207 256 219 171 135 128 121 117 106 106 109 112 123 134 139 130 109 101 104 104 101 93 90 98 106 108 104 101 95 85 71 61 52 39 22 27 26 26 28 28 29 28 25 20 19 20 24 26 26 26 28 31 33 32 26 20 17 20 29 48 81 108 119 130 146 161 166 158 147 132 110 101 98 93 85 69 61 61 70 55 42 34 24 19 11 8 9 8 6 5 4 1 1 1 1 1 1 2 2 3 4 6 9 13 18 21 23 23 23 23 23 25 29 29 29 30 32 39 47 54 64 79 93 96 100 102 112 124 140 161 176 190 198 210 229 252 271 282 294 295 295 295 308 332 365 374 332 164 75 51 63 78 119 182 258 271 300 287 279 291 358 410 546 689 701 738 754 745 734 677 803 994 1015 1077 1116 1215 1345 1416 1365 1349 1379 1461 1624 1917 2296 2916 2576 2230 1979 1576 1056 845 750 616 583 673 782 865 1111 1309 1432 1705 2036 2287 2383 2478 2700 2960 2944 2653 2228 1682 1359 1413 1496 1420 1295 1166 1285 1626 1853 2000 2158 2298 2369 2319 2441 2419 2290 2361 2220 2063 1834 1728 1595 1464 1339 1185 1019 841 653 606 601 536 437 414 449 579 626 612 667 701 744 816 929 1117 1406 1720 1890 1919
10 6 6 5 6 5 5 6 7 7 7 10 11 11 12 12 12 14 17 21 25 21 18 18 17 14 11 7 8 10 12 16 17 16 14 13 11 10 10 10 10 12 14 16 20 24 29 31 30 28 24 18 14 15 19 21 20 17 13 11 10 10 9 10 11 11 10 10 8 7 6 5 3 2 4 7 5 3 2 2 9 31 31 15 12 4 4 11 14 19 56 68 41 34 19 12 16 38 60 66 48 25 16 36 68 97 127 156 179 215 262 306 333 345 394 449 518 340 356 490 221 338 388 519 452 368 336 335 371 382 406 404 453 560 599 568 606 827 1077 1004 809 788 922 1095 1176 1240 1538 1626 1590 1698 1728 1816 1919 2011 2155 2079 1981 1988 2137 2331 2603 2903 2978 2970 3093 3169 2652 2133 2008 2002 2078 2251 2460 2638 2772 2859 2853 2805 2781 2819 2874 2848 2853 3002 3229 3240 3256 3158 2971 2751 2707 2528 2348 2076 2142 2204 2098 2236 2540 2594 2429 2146 1680 1021 407 101 86 196 189 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 1 2 2 1 2 0 2 3 3 3 5 7 6 6 5 4 1 2 3 3 1 0 0 0 0 0 0 0 4 19 64 131 167 147 116 94 91 92 85 72 66 68 77 100 133 167 211 240 197 162 134 131 123 116 106 100 102 109 126 144 150 141 117 105 108 109 105 97 96 104 112 115 109 100 92 82 70 63 56 40 20 21 22 22 24 25 26 25 24 20 19 21 24 27 28 30 33 36 36 33 30 25 21 21 28 43 77 108 118 129 148 169 172 157 149 140 110 103 98 93 89 81 65 58 60 51 41 34 27 19 14 8 9 9 7 5 3 1 0 0 0 0 0 0 1 1 3 5 8 12 17 21 24 24 24 25 25 26 27 28 27 26 25 29 35 42 47 53 65 66 68 71 75 80 90 103 118 136 144 150 166 181 196 209 221 228 224 215 223 244 280 302 308 238 132 82 50 49 70 106 152 202 239 255 258 258 286 347 453 585 691 724 713 737 773 787 777 825 955 1047 1047 1083 1157 1245 1328 1362 1415 1507 1628 1816 2132 2703 2964 2728 2334 1816 1090 865 795 744 750 733 792 751 945 1098 1143 1297 1641 1944 2079 2189 2381 2721 2991 2985 2596 1965 1383 1110 1177 1266 1306 1262 1160 1297 1660 1845 1953 2099 2107 2085 2136 2082 2145 2197 1994 1839 1686 1645 1544 1341 1175 1065 886 700 634 665 703 681 554 492 472 508 557 568 599 656 715 806 947 1160 1433 1688 1778 1776
5 6 6 6 7 8 8 6 3 5 6 9 11 11 12 12 11 10 12 17 22 22 19 18 16 14 12 9 7 4 6 13 15 15 15 15 12 10 11 11 11 10 11 13 16 22 28 29 29 27 24 20 16 14 18 20 20 15 11 9 8 7 7 8 10 10 10 9 8 6 5 5 4 2 4 6 4 2 2 3 13 26 17 6 3 4 7 32 46 42 42 19 10 13 22 28 41 44 26 24 22 39 70 57 42 56 78 91 100 102 120 162 186 165 138 148 179 201 254 246 208 213 183 151 173 198 225 314 377 402 405 376 358 346 365 476 617 697 765 841 788 700 681 755 1028 1314 1333 1476 1563 1688 1714 1786 1812 1871 2083 2185 2119 2102 2165 2318 2507 2855 3033 2906 3091 3247 3142 2527 2381 2326 2210 2224 2399 2598 2717 2843 2936 2935 2908 2925 2947 2963 2987 3010 3005 2898 2680 2487 2298 2129 2069 2058 2082 1711 1779 1924 2017 2283 2405 2089 1786 1633 1398 947 479 235 222 238 130 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 6 3 3 4 3 6 8 8 4 4 7 4 1 0 1 0 0 0 0 0 0 0 0 2 12 46 107 159 160 130 102 90 91 89 79 70 69 73 84 106 141 181 227 239 203 171 142 128 122 111 101 94 97 107 125 144 152 139 118 107 107 108 107 105 106 111 116 115 107 99 92 84 73 60 49 39 26 25 24 23 24 26 24 24 25 25 27 29 30 33 35 38 40 40 37 35 33 30 25 23 26 35 65 102 117 129 144 167 173 161 154 145 121 104 96 91 86 80 68 57 54 51 42 36 32 22 15 8 9 11 8 4 1 0 0 0 0 0 0 0 0 0 1 3 6 12 17 21 24 24 24 25 28 29 29 28 28 26 24 24 28 34 39 44 48 50 52 52 51 52 56 60 65 79 88 96 106 120 130 142 158 172 157 147 154 170 196 222 235 247 249 165 94 52 49 70 94 125 170 214 244 261 278 318 405 543 653 688 691 755 831 896 948 979 1052 1117 1124 1171 1194 1274 1355 1399 1447 1566 1772 2052 2309 2507 2760 2819 2319 2080 1301 962 881 963 986 782 819 707 771 837 894 1042 1373 1600 1735 1811 1911 2175 2555 2714 2534 2098 1505 1085 908 943 1155 1153 976 1002 1400 1537 1657 1750 1773 1816 1843 1780 1895 1843 1576 1471 1450 1460 1413 1270 969 879 625 533 565 630 692 703 611 536 494 490 503 485 525 598 675 781 947 1194 1486 1661 1648 1745
2 5 6 6 7 7 9 9 8 6 6 8 10 12 12 12 13 9 10 12 16 20 19 17 16 15 14 12 9 7 7 11 14 14 15 15 12 10 11 12 11 9 9 10 11 15 23 27 26 24 22 19 16 13 13 13 15 13 9 7 7 7 6 7 8 8 8 8 7 6 5 4 5 4 3 5 4 1 3 5 7 6 3 2 2 11 14 38 48 26 12 13 19 28 36 36 24 20 17 19 20 16 8 9 11 11 12 14 13 10 23 38 54 71 80 78 71 88 121 157 176 151 125 112 136 156 181 218 257 297 324 328 322 323 290 272 326 444 573 802 922 906 848 749 799 936 996 1165 1409 1569 1704 1828 1854 1880 1989 2052 2163 2281 2223 2295 2418 2752 2982 3028 3058 3167 3357 3141 3141 3004 2665 2477 2479 2565 2649 2764 2879 2928 2949 2958 2937 2893 2783 2596 2362 2162 2018 1847 1710 1670 1644 1681 1841 1798 1946 1966 2137 2516 2063 1602 1272 1158 1116 903 585 370 293 192 62 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 1 3 6 7 7 8 10 8 4 1 2 7 8 6 2 2 4 3 1 0 0 0 0 0 0 0 0 0 1 9 37 88 144 164 142 111 94 93 93 87 78 72 74 81 94 118 151 199 246 248 211 179 148 121 114 109 97 92 97 105 118 133 142 133 115 105 105 106 106 105 106 110 114 112 102 91 86 83 73 61 48 38 30 34 34 33 32 32 31 31 32 33 36 37 38 40 42 43 40 37 35 36 35 32 30 25 25 33 51 80 112 131 133 150 165 162 157 146 129 109 98 89 82 75 67 57 53 51 45 41 35 26 17 11 9 10 8 4 1 0 0 0 0 0 0 0 0 0 0 2 5 11 16 22 25 25 25 27 29 30 29 29 29 28 26 24 24 27 31 36 40 43 45 45 43 42 43 45 48 51 55 56 58 68 75 79 93 99 94 91 96 106 124 158 176 185 192 189 144 74 45 63 82 109 146 186 219 243 268 309 374 504 611 646 680 775 919 1078 1144 1154 1164 1156 1139 1183 1261 1360 1392 1407 1466 1596 1830 2144 2412 2429 2322 2528 2271 2003 1502 1064 907 946 979 817 645 646 674 743 861 970 1076 1188 1291 1335 1402 1679 2015 2199 2222 2018 1639 1181 928 974 1150 846 822 962 1069 1191 1314 1502 1656 1707 1691 1562 1533 1453 1206 1235 1344 1516 1441 1357 904 742 605 540 499 536 607 613 534 495 470 460 494 518 493 535 625 745 913 1186 1493 1593 1475 1618
1 4 7 7 7 7 8 8 7 6 6 8 9 11 12 10 11 13 12 12 11 15 17 16 16 17 19 16 13 11 10 11 14 14 16 16 13 11 11 13 13 10 9 10 13 13 16 20 22 20 18 17 15 14 14 13 12 11 9 7 7 5 5 6 6 7 6 6 6 6 5 4 4 3 2 3 3 1 4 4 2 2 7 3 2 14 10 13 13 10 16 22 24 25 20 12 8 9 10 9 6 3 3 3 3 4 6 9 12 14 14 18 26 36 33 42 56 65 57 68 83 88 98 108 115 123 140 186 258 313 351 336 271 250 289 351 417 453 498 563 633 779 900 848 714 693 854 1105 1286 1401 1604 1878 2037 2089 2160 2213 2325 2418 2259 2284 2380 2619 2787 2890 2956 3148 3448 3525 3519 3377 3126 2890 2701 2698 2725 2763 2809 2846 2883 2845 2692 2474 2222 1977 1781 1672 1638 1577 1477 1552 1611 1624 1689 1789 1959 2041 2174 2830 2245 1625 1067 810 698 560 385 252 173 87 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 2 5 7 7 10 15 14 7 3 3 8 8 3 3 1 1 1 0 0 0 0 0 0 0 0 0 2 10 36 82 126 151 147 120 98 95 96 91 84 78 76 81 91 108 132 166 212 252 239 221 186 155 124 113 110 98 99 101 105 111 117 124 124 116 110 107 108 111 106 98 98 107 109 100 91 92 88 74 63 49 40 29 39 39 39 39 39 40 40 40 42 46 46 44 45 44 40 35 33 34 36 37 35 32 30 30 37 51 72 104 132 129 125 142 157 156 141 120 104 100 96 83 75 68 60 55 52 48 41 34 28 22 15 10 9 8 5 3 0 0 0 0 0 0 0 0 0 0 1 4 9 15 22 26 28 26 28 30 30 30 29 29 29 28 25 23 23 25 30 34 37 39 40 39 38 38 38 39 41 43 42 39 42 43 48 54 56 54 53 54 59 71 93 114 130 141 146 132 82 49 65 82 108 142 179 209 220 240 294 383 507 617 669 697 753 889 1091 1197 1231 1218 1200 1235 1309 1360 1374 1376 1392 1434 1516 1675 1908 2185 2289 2151 2244 2325 1931 1514 1138 939 847 880 845 731 679 668 710 773 819 845 883 954 992 1019 1210 1514 1747 1937 1911 1670 1420 1343 1322 1249 980 938 1009 1044 1033 1096 1296 1430 1506 1563 1556 1541 1455 1345 1360 1282 1390 1545 1386 1069 797 678 609 556 523 538 581 558 480 440 432 451 537 471 476 569 693 864 1151 1425 1491 1389 1374
2 4 6 9 12 11 9 9 8 7 7 7 8 9 9 9 9 10 10 11 10 12 13 13 15 17 17 18 15 14 15 17 17 17 17 17 14 11 11 13 16 16 12 11 19 19 15 16 22 18 13 12 14 14 17 16 12 11 9 8 7 6 5 5 5 7 6 5 4 5 7 6 4 2 1 3 2 1 3 3 1 5 15 4 3 5 4 4 4 3 4 10 13 13 11 6 4 6 8 8 6 4 3 3 4 4 4 4 4 5 6 8 11 12 11 13 15 24 23 31 46 57 66 69 68 72 86 125 191 271 367 408 338 254 228 280 404 467 571 597 569 647 702 646 514 457 588 890 1160 1299 1559 1890 2125 2253 2345 2412 2445 2442 2299 2279 2320 2442 2541 2658 2830 3124 3325 3368 3345 3217 3135 3045 2916 2879 2805 2745 2726 2742 2699 2504 2195 1893 1683 1565 1502 1512 1645 1727 1588 1651 1690 1667 1656 1691 1807 1938 1963 2661 2611 1981 1216 700 304 150 95 62 37 14 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 1 4 5 7 12 19 15 7 2 4 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 3 14 41 83 123 141 139 124 104 97 98 94 85 81 81 83 90 105 126 148 182 211 245 234 221 201 168 139 126 118 108 107 104 104 109 111 111 115 116 114 109 109 115 114 104 99 104 104 102 93 98 97 86 75 61 50 31 36 34 36 40 42 43 43 42 45 48 47 45 47 49 48 43 39 38 37 37 35 32 29 31 40 53 68 88 115 135 126 134 151 147 128 113 103 99 98 88 76 67 61 58 55 48 37 29 26 22 17 10 9 9 7 4 1 0 0 0 0 0 0 0 0 0 0 2 7 12 19 26 30 30 28 27 27 29 29 29 30 29 26 23 23 24 27 29 32 34 35 35 35 35 36 39 38 39 39 38 37 38 37 38 38 37 37 35 34 38 47 60 78 95 105 101 63 50 67 85 106 138 178 213 219 221 259 347 480 619 689 703 725 812 962 1113 1190 1223 1271 1314 1325 1330 1372 1388 1373 1373 1407 1456 1581 1781 1994 2156 2282 2595 2277 1766 1393 1085 891 856 803 658 617 695 796 825 791 798 810 814 778 669 721 1056 1343 1610 1805 1896 1851 1720 1591 1462 1310 1185 1137 1150 1140 1125 1048 990 1238 1378 1515 1634 1751 1745 1528 1307 1343 1458 1530 1269 937 766 721 660 537 496 541 579 523 429 460 447 502 513 466 534 658 838 1091 1356 1452 1403 1332
2 4 6 10 13 13 11 9 8 8 8 7 7 7 7 8 9 9 9 9 9 10 9 10 13 16 19 18 12 12 15 16 17 19 16 16 13 11 11 13 18 20 15 13 22 28 19 16 19 16 13 10 11 11 14 14 13 11 10 8 7 6 5 4 4 6 7 5 4 4 8 6 3 2 2 4 2 1 3 2 1 5 8 4 4 4 4 4 3 3 3 4 5 6 6 7 5 4 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 9 14 18 16 15 17 18 20 23 49 74 91 108 136 185 264 340 331 279 335 473 504 441 561 708 637 649 624 569 556 759 802 759 1121 1354 1643 1909 2139 2379 2559 2589 2513 2409 2266 2186 2172 2221 2316 2432 2619 2889 3180 3315 3260 3053 2896 2841 2851 2852 2776 2709 2627 2564 2368 2031 1711 1527 1491 1535 1561 1572 1627 1672 1610 1521 1438 1365 1306 1268 1274 1352 1486 1833 2296 2314 1830 763 142 15 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 14 16 12 10 9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 12 42 84 122 139 136 123 109 103 103 99 92 82 81 84 89 100 122 146 166 187 195 224 222 204 211 188 160 140 126 118 109 103 103 108 111 111 115 117 113 107 104 109 118 119 109 99 95 100 99 96 91 91 89 74 57 36 33 32 32 35 37 36 36 36 39 44 45 49 56 61 64 59 50 42 35 30 29 28 28 32 42 55 68 78 91 124 133 131 131 129 118 106 97 94 94 89 75 62 54 53 51 44 32 24 23 20 13 7 8 10 6 3 1 1 0 0 0 0 0 0 0 0 0 2 6 10 16 23 29 31 31 28 25 27 29 29 30 29 26 23 22 22 23 25 27 30 31 31 31 31 31 33 34 35 35 37 37 36 35 34 33 33 33 30 26 22 23 30 38 58 63 57 42 50 65 84 105 136 179 220 235 229 237 288 415 595 700 712 749 813 888 1040 1120 1173 1258 1300 1330 1351 1338 1368 1345 1352 1374 1415 1463 1563 1758 2057 2423 2767 2631 2184 1843 1555 1110 764 654 755 831 855 946 937 927 967 910 759 661 531 525 721 937 1162 1474 1730 1790 1693 1582 1479 1381 1299 1366 1364 1328 1181 862 688 923 1142 1374 1613 1907 1789 1509 1342 1547 1737 1641 1396 1064 848 804 806 591 487 473 545 602 455 472 476 461 530 508 527 634 798 1016 1277 1448 1491 1483
2 3 4 8 12 12 12 12 12 11 9 8 7 6 6 7 9 10 10 10 10 10 9 9 11 15 18 18 14 13 15 13 17 21 13 16 13 12 10 11 16 21 19 14 19 26 21 16 16 17 20 14 12 9 8 10 12 11 11 9 7 7 6 5 4 5 6 5 4 5 7 5 4 4 2 5 3 3 4 2 1 3 4 4 4 4 4 4 3 3 4 4 4 4 3 3 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 5 7 8 9 12 16 24 44 69 74 80 100 135 175 213 253 281 272 355 544 541 386 405 507 544 565 567 665 852 1441 1547 839 1313 1421 1597 1852 2122 2458 2683 2708 2566 2327 2084 1934 1924 2034 2195 2350 2516 2735 3011 3251 3288 3068 2869 2744 2716 2769 2726 2743 2611 2381 2016 1651 1455 1443 1543 1676 1734 1694 1616 1517 1396 1260 1123 1039 1013 950 849 784 774 892 1337 1793 1692 614 79 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 1 3 4 8 11 8 6 9 11 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 8 39 81 112 130 131 119 106 103 107 105 95 87 81 82 88 95 109 137 166 183 188 183 206 220 225 236 219 186 151 134 125 111 103 104 108 110 113 119 119 109 101 99 101 107 113 107 93 88 92 93 91 90 91 94 85 69 50 36 35 32 33 33 31 31 33 38 45 54 63 70 71 68 62 52 41 30 23 22 25 31 38 47 58 70 76 81 94 116 121 111 112 112 103 96 91 90 87 74 58 48 47 46 39 29 22 19 15 10 5 5 7 6 4 2 1 0 0 0 0 0 0 0 0 1 3 5 8 13 20 27 31 32 29 25 25 28 29 29 29 26 24 22 19 20 21 24 26 28 29 28 29 30 31 32 33 35 37 37 35 33 31 29 28 27 22 15 9 9 10 8 25 27 25 34 50 72 95 115 141 184 236 271 266 251 271 386 601 760 807 890 959 991 1077 1070 1094 1141 1211 1286 1312 1300 1321 1351 1377 1416 1427 1447 1467 1556 1781 2186 2708 2821 2420 2301 2116 1531 1089 950 954 1053 996 1071 1143 1226 1184 1064 836 672 548 525 603 707 838 1048 1252 1381 1475 1453 1281 1199 1185 1314 1482 1465 1310 969 710 697 902 1159 1456 1767 1790 1555 1354 1426 1648 1611 1445 1192 947 887 849 674 518 413 501 569 508 455 468 461 494 534 537 594 766 949 1168 1376 1536 1655
1 2 4 6 11 11 11 11 11 11 10 9 9 8 8 9 11 12 12 12 12 11 9 9 10 13 16 17 19 20 18 17 19 18 15 17 14 11 9 11 15 19 19 14 15 20 21 19 19 19 20 14 13 10 8 9 16 13 11 8 7 7 6 6 5 5 5 5 5 6 6 4 3 5 3 5 2 3 5 4 3 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 3 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 15 19 22 32 39 63 109 172 235 290 295 268 306 395 417 391 372 389 445 520 685 887 890 1106 1391 1126 1490 1476 1491 1821 2139 2480 2692 2732 2534 2178 1817 1656 1748 1952 2159 2333 2462 2574 2761 3019 3178 3089 2900 2742 2656 2688 2694 2646 2590 2230 1749 1443 1399 1519 1637 1701 1679 1620 1539 1406 1249 1127 1039 996 988 932 821 705 564 452 655 796 799 418 56 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 2 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 6 33 76 108 122 123 115 102 95 100 106 98 85 79 78 82 88 96 113 146 179 198 194 180 193 215 224 219 213 201 173 157 137 117 104 103 105 108 116 128 127 111 100 100 100 99 95 89 86 84 90 93 95 95 93 99 88 78 67 46 43 40 39 39 38 39 43 50 58 68 76 79 73 63 55 48 39 30 25 26 30 38 46 54 62 69 68 69 77 92 113 105 101 103 102 97 89 87 81 69 55 46 45 44 38 27 20 16 12 8 4 3 5 5 3 2 2 0 0 0 0 0 0 0 0 1 2 4 6 11 17 23 28 30 28 25 24 26 27 27 28 26 24 21 18 17 18 21 22 24 25 25 26 27 28 30 31 33 35 35 34 33 31 27 21 17 14 12 11 11 11 13 14 18 27 35 51 74 102 129 152 186 246 302 311 289 283 362 560 755 773 809 879 949 988 1014 1051 1066 1116 1164 1230 1271 1299 1340 1387 1459 1512 1503 1466 1471 1577 1709 1983 2354 2241 2258 2325 2067 1567 1238 1035 1138 1209 1288 1379 1370 1353 1237 996 737 592 587 606 661 723 808 865 925 1123 1259 1119 1015 1108 1202 1390 1428 1329 1083 845 738 797 936 1116 1319 1485 1481 1380 1268 1240 1259 1428 1290 1060 935 823 719 553 421 446 495 488 428 430 467 482 505 562 587 756 914 1063 1247 1431 1639
2 3 3 3 6 8 9 10 10 10 10 9 9 10 11 12 12 12 13 13 13 12 12 11 12 14 16 18 20 20 18 17 18 18 16 14 13 11 10 14 21 22 18 13 12 16 20 22 22 22 22 17 12 11 10 9 13 11 10 8 8 7 7 6 5 5 6 6 6 6 4 3 4 5 4 4 3 5 5 5 5 5 4 3 3 3 4 4 4 4 3 4 4 3 3 3 4 4 4 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 6 11 15 32 73 145 197 176 171 193 259 396 426 383 366 363 423 668 992 1005 780 1101 1574 1641 1386 1564 1638 1942 2233 2552 2764 2819 2596 2106 1712 1727 1971 2154 2257 2355 2435 2493 2586 2764 2929 2947 2845 2718 2642 2604 2605 2565 2510 2100 1579 1349 1422 1614 1682 1662 1603 1547 1444 1302 1184 1140 1107 1035 948 847 728 562 332 188 211 293 324 270 43 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 2 3 2 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 7 31 73 104 117 119 113 102 94 93 95 92 82 74 71 72 78 86 94 112 145 177 195 185 166 171 186 194 179 181 208 211 180 150 122 105 102 104 109 122 139 141 120 102 102 103 99 92 79 78 82 87 91 95 98 94 94 97 96 87 68 61 55 54 55 56 60 68 78 83 86 87 85 76 62 52 46 40 35 33 38 43 49 57 62 66 67 61 58 69 73 99 98 95 93 96 92 88 86 76 63 53 46 44 42 36 26 19 15 10 7 4 2 5 4 2 2 2 0 0 0 0 0 0 0 0 0 1 3 6 10 15 20 25 27 27 25 24 25 25 25 26 25 22 21 17 14 14 17 18 21 21 21 23 24 24 26 28 30 31 31 32 32 29 24 13 10 13 14 14 15 15 14 18 23 30 40 55 81 115 146 165 187 240 309 352 344 308 306 394 620 646 675 732 800 836 890 943 988 1027 1076 1143 1197 1248 1307 1365 1387 1369 1398 1394 1357 1415 1471 1443 1415 1565 1840 2151 2316 1993 1665 1328 1250 1397 1547 1697 1763 1637 1405 1131 813 517 496 523 575 603 656 641 669 818 922 893 753 837 963 1125 1168 1058 981 952 879 854 838 900 1010 1156 1205 1217 1087 961 1032 1283 1323 1186 971 807 716 584 463 440 493 521 437 385 447 528 488 559 600 696 835 990 1138 1292 1485
5 4 3 3 4 6 6 7 8 9 9 9 10 11 12 14 14 13 13 14 15 15 15 15 16 16 16 18 21 20 16 15 17 19 17 15 14 12 11 13 14 15 16 13 11 14 17 20 23 27 24 18 14 13 11 11 13 12 10 10 9 7 7 5 6 5 7 6 6 5 4 4 4 3 3 3 3 4 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 20 88 135 89 127 177 213 275 315 361 429 473 570 792 1036 1002 909 1088 1259 1381 1302 1458 1809 2065 2357 2634 2828 2785 2423 1822 1627 1935 2336 2498 2432 2368 2376 2400 2488 2649 2799 2860 2820 2722 2620 2550 2537 2532 2415 1998 1501 1320 1455 1675 1672 1590 1526 1464 1347 1228 1192 1171 1087 961 831 713 610 512 383 246 209 278 407 394 82 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 32 72 102 113 116 111 101 94 94 95 87 75 69 67 66 67 73 81 91 108 135 162 169 157 145 150 163 174 164 180 220 226 187 155 120 104 101 102 109 124 143 146 127 105 97 98 98 94 86 77 81 83 86 91 95 98 92 101 105 100 99 95 87 82 81 82 89 98 104 106 102 97 89 78 67 59 53 51 50 50 53 56 61 67 70 66 58 52 49 58 63 82 86 85 85 85 86 88 85 73 62 53 44 40 39 34 26 17 13 9 5 3 3 4 3 1 2 2 1 0 0 0 0 0 0 0 0 1 2 5 9 14 18 23 26 27 25 24 26 24 25 26 25 23 20 17 13 10 12 14 17 19 20 21 22 23 24 25 26 28 29 30 30 28 22 12 14 16 16 18 19 20 20 23 28 36 46 58 81 118 158 184 200 230 310 434 472 380 348 383 505 522 539 597 665 678 701 740 799 888 976 1060 1114 1161 1241 1318 1366 1317 1219 1275 1340 1350 1437 1474 1353 1327 1428 1666 1994 2068 1913 1629 1396 1539 1826 1924 1900 1803 1614 1336 1027 662 552 486 477 506 590 597 556 562 582 586 525 569 733 933 1065 1020 1099 1121 1006 914 840 801 793 849 887 917 780 699 865 1067 1265 1250 1006 817 716 636 543 508 544 629 497 347 391 511 525 542 608 679 805 937 1057 1196 1383
4 4 4 4 4 5 4 5 7 9 9 10 13 14 15 17 16 15 13 15 18 21 20 20 21 21 19 21 24 26 24 19 18 19 17 16 15 12 10 11 11 12 14 14 13 12 15 17 22 28 23 17 14 13 12 12 15 14 12 11 9 8 6 5 7 6 8 7 6 6 3 5 3 2 3 4 5 5 5 5 5 5 5 5 5 5 5 3 4 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 7 38 102 132 190 215 226 220 209 240 439 691 693 734 909 988 1102 1293 1351 1428 1495 1452 1701 2055 2449 2706 2806 2585 2000 1423 1584 2060 2568 2757 2560 2291 2229 2293 2406 2572 2757 2861 2837 2738 2623 2550 2543 2524 2354 1926 1470 1337 1488 1677 1622 1509 1474 1397 1269 1206 1202 1119 983 838 705 589 496 425 382 377 419 534 709 624 165 2 8 28 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 13 45 78 103 111 110 106 99 93 95 98 92 78 69 66 65 64 65 70 78 90 107 131 156 154 144 139 145 152 157 166 187 209 205 177 152 120 104 102 102 109 124 139 136 116 97 91 92 96 94 88 84 84 85 88 88 94 102 100 96 95 101 111 123 127 125 122 124 122 122 123 120 113 100 87 77 74 67 67 70 65 63 64 65 68 72 72 61 47 44 44 51 63 78 80 78 79 84 90 90 83 72 61 50 39 34 36 35 28 17 12 6 3 2 3 3 1 1 1 2 1 0 0 0 0 0 0 0 0 0 1 4 8 13 17 22 24 26 25 24 25 25 26 26 26 24 21 16 11 7 8 10 12 16 18 18 18 19 20 21 22 24 26 28 27 27 18 15 16 20 20 21 22 22 23 25 30 38 50 63 81 116 164 212 244 236 305 422 434 450 433 460 452 430 440 487 539 569 574 586 619 670 759 887 982 1057 1137 1203 1290 1380 1429 1425 1518 1501 1452 1572 1522 1392 1331 1402 1593 1828 1907 1728 1585 1640 1796 1899 1979 1986 1854 1579 1267 946 619 341 416 472 549 594 551 481 437 441 460 503 583 788 1087 1001 923 883 941 861 813 717 606 565 601 621 544 506 556 678 965 1195 1095 871 733 711 677 700 755 757 550 400 396 476 535 542 572 646 754 873 1003 1142 1327
3 3 4 2 4 4 5 5 7 10 11 13 16 17 20 21 20 16 13 15 18 24 24 25 29 31 33 34 35 36 32 24 19 20 17 16 15 12 11 12 15 15 15 16 16 14 14 16 19 24 26 22 13 11 10 11 13 13 12 11 10 8 6 6 8 8 7 6 5 6 3 5 1 2 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 2 3 3 3 3 3 3 3 4 4 4 4 4 3 3 14 43 87 141 162 160 142 153 244 302 345 469 670 862 977 1114 1281 1393 1465 1607 1631 1627 1906 2378 2723 2784 2438 1756 1439 1776 2242 2617 2897 2555 2212 2171 2261 2348 2510 2741 2861 2840 2742 2628 2560 2557 2523 2304 1867 1459 1360 1503 1637 1558 1449 1408 1332 1212 1220 1146 1026 868 719 590 525 520 484 429 420 527 740 882 655 187 2 17 55 29 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 12 52 93 112 112 104 98 95 95 95 98 94 82 72 69 68 65 64 65 69 77 90 112 142 171 172 158 150 154 151 150 160 174 201 219 199 164 131 112 103 105 116 131 140 132 109 95 93 93 94 96 94 91 89 89 88 89 94 102 106 103 100 102 111 123 140 152 156 160 158 154 144 137 129 106 95 85 88 78 72 74 71 72 73 72 74 73 68 54 44 41 42 48 65 77 74 72 77 84 87 84 77 70 57 43 34 30 38 39 26 15 7 2 2 2 3 3 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 3 8 13 16 20 22 23 24 23 24 26 26 25 25 22 18 14 10 7 5 5 7 10 12 13 13 14 14 16 17 19 22 24 25 25 13 18 21 22 23 25 26 26 24 26 30 38 50 65 84 116 176 243 289 269 325 357 371 395 412 421 412 391 390 416 450 479 490 498 519 540 606 702 808 929 1000 1071 1167 1231 1296 1390 1491 1563 1593 1616 1560 1458 1369 1357 1402 1512 1683 1740 1729 1618 1544 1704 1985 2054 1989 1745 1434 1134 782 524 449 465 547 630 615 539 482 462 470 492 614 790 998 830 703 676 819 776 687 593 525 482 495 521 515 479 383 360 639 1040 1236 932 778 801 858 946 1016 914 695 542 444 463 548 533 538 606 717 830 973 1118 1315
1 2 3 2 4 4 5 6 8 11 14 16 18 20 22 23 21 16 14 13 15 22 25 27 32 33 34 38 40 38 33 25 20 19 16 14 15 13 12 11 10 12 15 18 18 15 14 14 16 19 25 26 17 12 12 14 11 13 13 12 10 8 6 7 9 8 6 5 6 6 4 3 1 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 3 4 4 4 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 4 3 13 41 62 76 102 106 115 155 246 286 297 381 556 749 973 1175 1173 1194 1286 1444 1613 1605 1725 2146 2590 2760 2485 1941 1628 1864 2295 2556 2642 2303 2325 2468 2550 2581 2652 2778 2860 2830 2726 2623 2568 2564 2509 2258 1825 1460 1380 1506 1591 1505 1399 1333 1249 1184 1169 1077 930 754 602 488 520 599 646 672 711 720 710 668 440 124 0 15 41 27 5 0 0 0 0 0 0 0 0 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 2 8 28 68 109 117 113 102 93 90 93 99 98 90 81 75 72 71 69 66 64 65 67 75 90 115 153 192 203 178 162 165 159 153 158 175 218 246 224 182 144 120 105 107 125 143 148 136 114 98 93 91 90 95 97 95 90 87 88 91 96 104 107 109 110 107 111 120 132 145 158 165 167 161 150 145 140 128 125 120 122 102 84 76 73 74 76 76 77 75 69 57 56 59 52 54 71 77 74 76 76 73 73 73 71 66 52 38 35 32 42 47 23 11 5 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 2 6 12 16 18 20 21 22 23 25 27 26 23 21 20 16 12 9 6 4 2 3 5 8 9 9 10 9 11 13 17 19 21 23 14 11 16 20 22 24 26 28 28 28 29 32 38 50 71 99 149 207 216 228 248 263 284 314 336 358 379 385 370 354 355 375 412 436 432 440 449 471 526 593 736 822 937 1034 1069 1113 1194 1310 1448 1539 1557 1528 1472 1409 1354 1320 1291 1417 1628 1861 1805 1697 1735 1881 2055 2075 1887 1600 1310 1025 770 590 515 551 626 628 581 536 521 509 559 707 887 950 690 535 678 767 651 510 441 431 483 626 774 835 766 551 341 449 1013 1302 1068 893 898 983 1054 1052 941 824 721 570 501 532 505 473 564 658 772 914 1069 1288
1 2 1 1 1 3 4 5 9 15 19 22 22 21 23 25 24 19 15 14 16 21 24 26 30 30 33 36 38 37 33 26 20 17 16 15 15 15 14 11 9 11 18 20 21 18 14 12 14 18 23 25 20 12 9 10 10 13 14 13 10 10 8 7 8 7 6 6 6 5 4 3 2 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 10 37 68 89 113 121 130 151 148 158 215 311 475 666 837 998 1052 1092 1049 1093 1303 1448 1532 1831 2333 2668 2541 2109 1748 1754 1935 2093 2119 2144 2646 2833 2793 2980 3017 2834 2847 2806 2699 2611 2562 2547 2470 2203 1789 1464 1395 1495 1548 1471 1364 1276 1196 1188 1092 982 823 637 486 389 512 540 529 555 641 719 694 492 238 59 0 6 13 7 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 45 94 113 103 101 98 89 89 94 96 94 87 76 73 75 76 75 70 66 63 63 65 73 89 114 152 200 217 191 166 167 164 155 162 186 220 233 205 170 135 114 107 113 133 149 147 131 113 98 89 87 85 91 94 91 86 83 85 90 100 110 110 111 110 108 108 111 116 128 143 153 154 147 139 137 138 138 135 134 135 124 108 87 83 71 74 78 80 78 76 71 76 79 66 66 76 77 77 76 72 69 70 70 66 60 47 38 40 33 35 41 21 9 4 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 3 5 9 12 15 17 19 21 24 26 26 24 21 20 19 16 11 6 4 3 1 1 1 4 6 7 6 6 5 8 13 16 18 18 12 11 16 20 21 23 26 32 35 34 32 34 40 49 94 105 114 113 127 154 174 193 223 251 265 289 323 343 335 309 298 310 344 371 369 371 379 428 460 474 530 628 717 791 841 896 971 1090 1244 1397 1512 1533 1489 1448 1371 1324 1308 1335 1487 1951 2084 2069 1994 1944 2075 2187 2093 1830 1526 1259 1022 814 670 655 699 649 649 661 673 655 719 904 978 879 635 527 613 657 536 387 345 405 588 990 1315 1417 1283 936 518 505 1043 1342 1196 985 936 967 952 880 793 778 763 627 519 456 463 442 494 563 665 797 951 1184
1 1 1 1 1 1 3 6 11 17 24 31 30 24 24 27 25 21 17 16 18 19 19 22 24 25 28 32 36 35 34 28 21 16 17 17 16 15 14 12 10 10 16 20 25 23 17 13 12 16 21 24 19 12 8 9 10 10 12 12 12 11 8 7 7 6 5 6 5 4 4 4 2 2 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 11 47 90 121 134 122 89 54 77 164 280 421 558 695 865 992 1061 1048 1005 1076 1277 1413 1595 2050 2458 2398 1980 1733 1706 1653 1751 2094 2468 3084 3283 2874 2957 3177 2845 2794 2750 2626 2551 2519 2504 2417 2152 1766 1477 1408 1479 1517 1449 1338 1240 1165 1126 1012 881 712 534 392 346 410 386 386 474 661 786 759 326 56 7 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 21 45 104 129 105 91 84 83 82 86 88 87 77 70 69 73 78 79 76 70 66 62 61 62 70 86 109 143 198 237 226 187 180 181 170 169 187 203 198 156 129 108 103 109 120 136 142 133 116 101 92 89 88 88 92 92 89 83 79 82 89 103 111 117 123 116 111 107 102 100 108 123 136 138 130 123 124 125 126 121 119 119 108 99 97 92 83 85 80 78 75 75 80 81 78 69 68 71 71 69 68 70 72 72 68 59 55 43 40 43 32 29 23 16 10 4 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 4 6 8 11 13 14 16 19 24 26 25 22 19 18 18 15 10 5 3 2 1 0 0 1 2 3 3 1 0 2 5 5 7 10 11 14 18 19 20 21 27 34 39 42 38 40 50 60 82 79 78 81 88 104 120 143 170 195 213 231 259 288 297 272 253 248 270 300 310 315 313 327 363 407 445 497 540 574 619 680 756 864 1017 1198 1360 1455 1465 1450 1409 1377 1372 1379 1397 1686 1948 2205 2342 2247 2216 2321 2327 2120 1782 1465 1240 1042 888 823 823 755 785 845 879 877 987 1163 1037 780 601 559 623 643 505 391 378 516 932 1557 1844 1867 1739 1362 836 754 1160 1463 1321 1020 903 847 746 598 484 611 714 646 466 390 398 406 421 463 553 664 802 1020
0 1 0 0 0 0 2 5 10 17 25 33 34 29 26 29 27 21 18 18 19 16 16 18 19 19 22 26 29 28 26 26 23 18 17 17 16 15 14 12 11 10 12 16 22 23 19 15 12 15 19 21 19 13 10 10 8 8 10 11 10 8 7 7 7 5 5 6 5 4 5 6 4 2 3 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 1 1 2 3 3 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 5 21 45 78 81 39 27 81 155 238 329 435 580 738 860 906 894 865 892 1057 1318 1493 1778 2120 2197 1913 1818 1807 1712 1896 2433 2977 3500 3773 3241 2925 3088 2782 2763 2686 2514 2456 2460 2459 2371 2106 1744 1484 1426 1478 1489 1413 1303 1205 1134 1065 937 788 619 460 335 296 273 234 260 505 789 769 572 182 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 33 69 126 120 87 75 73 78 79 75 68 67 66 67 71 74 77 78 76 71 67 62 58 56 63 82 103 132 182 240 239 216 198 196 186 170 175 184 172 133 103 93 99 109 121 131 129 120 112 105 98 93 90 88 89 90 87 81 78 84 95 106 109 111 119 121 116 108 98 93 99 112 121 120 114 110 110 108 103 98 99 104 95 87 84 85 84 81 78 78 78 78 78 75 70 66 65 65 66 67 69 74 79 73 62 55 51 40 41 41 31 25 21 20 15 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 9 12 14 15 16 17 21 24 25 23 19 19 17 14 11 7 3 2 1 0 0 0 0 0 0 1 1 1 2 2 4 6 10 16 19 19 19 20 27 37 45 59 51 55 64 66 65 65 68 69 69 71 80 95 117 141 159 179 201 228 243 232 216 203 209 237 253 263 264 266 284 323 364 412 455 479 508 542 592 667 797 981 1160 1294 1377 1410 1403 1383 1392 1413 1410 1456 1579 1946 2494 2719 2618 2518 2535 2357 2050 1781 1522 1295 1139 1045 1019 1011 961 938 932 889 844 810 795 742 669 564 526 496 491 490 472 723 1300 1884 2031 1804 1503 1297 1113 1099 1389 1606 1337 1015 852 729 593 422 330 473 709 706 500 395 374 354 362 410 476 562 661 780
0 0 1 0 0 0 0 1 8 14 21 30 35 33 29 28 26 22 19 19 20 15 12 15 16 18 21 24 26 25 21 22 24 22 20 16 15 15 15 13 10 9 10 12 17 19 17 15 14 18 20 21 20 14 10 10 7 7 9 10 8 8 8 7 6 6 6 5 5 6 6 6 4 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 1 1 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 2 4 9 27 37 19 29 87 158 214 261 332 449 580 676 719 715 713 731 845 1086 1356 1566 1790 2082 2023 1864 1883 1922 2098 2462 2806 2993 3065 3016 2939 3089 2814 2777 2619 2441 2398 2422 2429 2335 2059 1710 1477 1439 1472 1446 1355 1249 1162 1093 999 858 705 553 418 308 253 240 284 485 765 989 449 64 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 39 76 117 106 74 66 71 76 70 59 55 56 60 65 69 71 73 75 75 72 68 62 55 52 61 79 98 120 152 193 214 208 182 172 167 156 157 163 151 118 92 88 95 105 113 117 115 113 113 110 105 97 88 82 83 88 84 78 78 87 101 110 109 112 115 112 105 99 92 90 100 109 108 104 99 97 97 98 97 95 93 92 89 87 87 86 86 86 85 82 79 77 75 71 70 70 70 69 70 71 70 73 77 71 58 54 48 42 43 38 28 24 29 30 21 8 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 10 12 14 14 15 16 18 22 25 25 21 20 19 17 14 9 4 1 0 1 2 2 2 3 2 1 3 4 4 5 6 7 10 14 17 19 21 21 33 48 61 65 61 62 60 55 52 50 53 59 61 59 61 67 77 94 118 141 160 181 186 184 179 171 172 185 198 212 221 221 220 246 292 339 383 408 443 474 482 519 618 754 863 1031 1186 1281 1315 1321 1330 1367 1428 1454 1474 1707 2258 2783 2986 2741 2669 2369 1983 1758 1737 1577 1409 1294 1224 1158 1073 991 916 837 755 726 798 851 794 615 548 551 573 570 561 801 1299 1838 1988 1667 1410 1297 1283 1447 1665 1609 1232 943 780 618 471 345 299 404 649 758 651 551 506 381 346 372 424 546 629 696
0 1 0 1 0 0 0 0 4 10 17 26 32 32 30 28 28 25 23 21 22 16 13 15 15 19 22 22 25 25 22 22 23 25 24 17 16 14 14 11 9 9 9 10 14 16 15 13 15 21 22 21 19 14 11 10 6 5 7 8 7 8 8 6 5 5 6 5 6 7 7 6 6 4 3 3 2 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 3 2 1 1 2 3 3 3 4 4 3 4 4 4 4 4 4 3 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 9 13 7 26 79 132 162 196 251 329 434 552 654 730 738 680 717 853 1116 1439 1589 1990 1740 1701 1922 2022 2096 2141 2192 2163 2208 2598 3017 3026 2847 2788 2573 2413 2381 2404 2409 2298 1995 1651 1454 1432 1440 1376 1273 1174 1111 1049 935 786 637 502 388 298 256 310 530 766 880 989 51 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 3 16 45 85 113 93 66 66 70 64 52 47 49 52 55 58 62 64 65 67 69 69 66 61 55 52 60 76 94 109 123 143 169 173 152 142 153 153 148 146 133 107 86 85 94 101 107 111 111 110 110 108 102 93 83 77 78 84 79 75 79 92 107 115 116 117 108 92 86 89 90 93 100 101 94 91 89 91 94 98 99 97 90 87 87 86 86 86 88 88 86 82 77 74 71 70 75 79 79 76 75 74 67 63 64 64 60 53 47 44 43 35 23 23 36 39 28 17 9 5 4 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 11 13 12 12 12 12 14 16 18 21 24 26 24 20 18 16 17 12 6 2 4 8 11 10 9 8 5 4 6 8 8 8 9 9 10 13 18 22 24 25 37 38 39 51 53 49 46 44 42 40 42 46 49 49 50 55 62 68 77 91 116 139 142 138 143 150 151 150 153 161 174 189 196 203 232 277 318 335 366 392 398 419 480 573 640 748 909 1058 1170 1241 1292 1327 1362 1423 1491 1628 1922 2054 2648 2653 2536 2141 1645 1492 1700 1769 1663 1506 1369 1282 1185 1063 944 894 981 1087 1145 1045 915 786 674 668 631 527 481 605 1062 1767 2056 1715 1448 1457 1384 1578 1650 1413 1051 823 670 514 367 277 263 330 542 709 698 689 727 542 464 415 488 632 694 695
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14 20 24 26 27 27 28 29 33 40 43 42 37 42 40 42 36 33 31 30 32 43 46 38 30 23 22 28 42 53 60 60 54 45 35 27 22 20 21 20 16 14 11 9 9 12 14 14 11 8 8 8 8 8 8 9 8 11 7 5 5 4 3 5 6 6 7 7 7 7 7 7 7 7 7 6 6 4 2 1 1 0 0 1 1 2 4 4 5 5 5 5 4 3 3 2 2 2 1 1 0 0 0 1 2 3 4 4 3 4 3 4 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 5 11 26 44 59 63 52 58 95 161 245 393 592 898 1327 1563 1365 1196 1515 1926 2067 2213 2364 2572 2692 2763 2924 3117 2665 2275 2153 2049 1768 1398 1116 975 923 924 905 850 847 709 592 510 434 414 425 437 481 614 694 640 649 568 341 114 10 1 0 0 8 31 37 31 15 3 3 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 23 51 69 62 42 35 36 35 34 32 33 37 41 44 46 48 51 52 52 51 49 49 53 60 73 87 90 82 75 74 79 89 106 133 176 206 200 176 162 155 158 164 157 134 109 101 105 109 106 101 94 91 94 94 92 90 83 86 95 104 110 112 108 99 90 85 84 85 87 90 95 97 98 101 106 109 112 114 117 117 112 105 95 86 77 70 65 62 61 62 64 68 73 76 76 71 66 61 56 53 54 66 63 51 53 50 43 41 35 25 22 21 23 32 35 27 16 16 24 24 16 12 9 4 2 0 0 0 0 0 0 0 0 0 2 7 7 11 21 21 14 19 27 22 20 21 24 24 23 22 23 24 24 24 21 18 18 19 18 15 13 14 24 34 34 32 31 31 31 30 30 29 28 25 24 23 25 27 27 29 29 28 27 27 27 28 31 33 33 34 36 38 41 45 50 58 60 64 70 73 75 68 69 74 76 72 68 66 65 64 61 59 51 53 64 67 70 75 83 93 100 120 139 158 192 235 275 311 348 384 420 495 593 694 809 1040 1041 1278 1609 1804 1797 1802 1965 2189 2311 2239 2032 1745 1465 1294 1171 1121 1097 1119 1123 1055 965 872 793 741 663 563 499 485 612 767 888 907 661 540 442 404 374 329 325 350 354 333 317 295 304 345 442 607 829 1078 1334 1559 1592 1642 1781 1752 1641
20 24 30 33 35 37 34 32 35 43 47 47 43 40 38 39 33 34 33 31 38 47 44 36 31 26 24 27 41 55 62 61 54 47 37 30 25 20 18 17 14 11 8 8 8 8 10 14 14 11 11 11 9 7 8 9 8 10 7 7 7 6 3 3 6 7 7 6 6 7 6 6 7 6 6 6 6 4 2 2 1 0 1 1 2 3 4 4 5 5 5 5 5 4 3 2 2 2 1 1 1 1 2 2 2 2 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 6 9 17 21 17 22 42 106 203 366 570 759 1141 1490 1371 1080 1229 1664 1937 2131 2313 2483 2632 2764 2976 3225 2776 2295 2076 1936 1655 1311 1063 903 822 851 869 794 734 637 562 504 456 450 485 532 589 769 846 652 609 417 168 33 2 0 0 0 3 12 12 4 5 9 16 13 4 0 0 3 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 2 11 31 56 64 43 34 35 33 30 31 32 35 38 40 43 45 47 48 48 48 49 51 56 67 83 93 90 79 72 72 80 91 106 132 175 199 190 162 154 147 152 156 148 130 111 110 117 117 113 105 100 98 99 99 98 93 88 90 96 99 99 95 89 82 76 74 81 91 100 105 107 105 99 97 100 102 105 110 114 111 104 93 81 70 62 56 54 54 55 56 60 64 66 66 65 66 63 59 58 57 57 66 54 49 52 47 43 41 34 26 22 20 22 30 29 22 13 15 29 26 16 10 7 7 5 3 3 2 0 0 0 0 0 0 1 4 3 4 8 8 8 8 8 14 19 23 24 24 23 25 26 26 28 28 29 29 30 28 24 22 22 23 30 33 31 31 30 29 28 27 26 25 25 23 20 21 23 24 24 25 25 25 25 25 25 26 29 32 34 35 36 40 43 48 52 59 64 66 72 74 74 70 68 69 69 68 66 64 62 59 57 56 51 52 50 50 53 57 60 63 68 81 97 116 144 171 196 232 281 329 356 387 429 498 529 715 847 997 1226 1514 1701 1742 1994 2245 2370 2382 2214 1955 1686 1471 1291 1179 1100 1097 1136 1132 1055 939 824 778 743 666 591 497 543 627 779 906 710 528 443 367 308 260 243 239 260 287 296 273 264 308 389 531 694 884 1116 1363 1534 1568 1689 1570 1391
25 27 30 36 44 49 48 42 41 43 43 46 45 41 38 34 31 32 32 32 43 33 33 31 31 29 27 27 36 52 59 58 52 46 36 29 25 21 18 15 13 10 8 6 6 7 9 14 17 11 10 10 8 7 6 6 8 8 7 8 8 7 4 3 5 7 6 6 6 6 6 6 6 5 5 5 4 3 3 2 1 1 1 1 1 2 3 4 4 5 5 5 4 4 3 3 2 2 2 2 3 3 3 4 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 5 8 10 9 9 16 59 155 324 584 737 1084 1307 1053 712 858 1370 1808 2055 2191 2324 2507 2708 3004 3171 2880 2377 2036 1840 1570 1250 1033 932 875 868 843 758 668 591 541 530 526 526 554 581 711 792 755 592 567 288 73 7 0 0 0 0 0 1 1 1 4 11 23 23 9 0 0 9 18 11 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 1 10 29 52 62 43 35 36 31 29 31 31 32 35 38 40 43 44 46 47 49 51 54 63 77 91 96 88 77 71 72 80 94 109 134 173 186 178 163 159 154 160 161 149 133 119 119 123 121 115 106 103 104 105 104 102 97 93 92 93 92 89 81 75 74 75 79 91 105 113 111 107 104 95 95 99 101 102 105 107 101 91 81 69 60 54 51 50 51 53 55 57 59 60 59 61 63 62 59 58 59 62 58 49 50 51 44 40 39 34 25 23 20 22 29 33 27 21 19 21 17 13 9 7 8 6 4 3 3 3 2 1 0 1 1 1 4 6 8 12 14 15 16 20 24 27 29 31 32 32 31 30 29 32 37 41 45 47 44 37 37 39 35 35 33 30 29 28 27 26 25 25 25 26 23 19 21 22 24 23 22 23 24 25 26 26 25 27 30 32 35 36 41 46 49 56 65 65 66 70 72 73 74 69 62 61 62 62 61 60 57 56 54 50 48 44 43 43 44 46 49 51 54 63 82 104 124 140 171 209 253 303 337 357 387 398 464 603 787 963 1126 1347 1529 1804 2029 2201 2335 2240 2071 1858 1645 1442 1297 1214 1196 1198 1194 1161 1070 913 787 802 729 673 626 611 638 735 835 748 560 436 338 287 234 192 163 167 199 237 256 256 250 276 366 515 693 891 1083 1428 1566 1668 1493 1232
30 34 38 45 52 55 51 43 37 32 26 26 35 41 42 40 39 37 38 40 40 26 29 30 26 26 27 28 34 39 43 49 51 46 38 31 25 22 20 17 15 12 10 8 8 9 12 16 17 13 9 8 7 9 5 7 7 6 7 7 8 8 6 5 4 5 4 4 5 5 5 4 4 4 4 4 4 4 4 2 2 1 1 1 1 2 3 3 4 5 5 5 4 4 3 3 3 3 3 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 6 6 6 7 31 112 278 550 724 1083 1449 1051 528 591 1103 1635 1958 2074 2135 2259 2451 2774 2982 2918 2542 2087 1787 1521 1215 1011 969 972 902 833 747 664 603 570 582 615 660 726 740 863 969 801 350 291 140 28 2 0 3 7 2 0 0 0 0 1 4 12 20 14 2 0 10 21 14 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 3 12 29 48 55 43 34 37 32 31 33 28 26 26 32 36 40 43 46 49 52 55 60 71 85 94 93 86 76 69 72 81 95 105 127 158 172 170 166 162 150 139 129 124 123 122 122 123 119 114 109 106 107 108 107 104 99 93 90 90 88 85 77 72 72 78 88 100 112 114 107 101 101 97 100 104 103 101 100 98 90 80 69 60 54 50 49 49 51 54 56 57 57 57 57 60 62 62 59 58 61 63 55 48 51 53 44 37 39 33 26 25 17 21 26 32 30 23 19 16 14 11 9 5 5 5 3 2 2 2 3 2 2 5 6 10 12 19 19 19 19 21 25 29 33 37 41 44 45 46 44 41 38 40 47 56 61 60 52 49 45 38 30 29 29 27 26 25 23 23 24 25 27 26 23 21 20 21 24 25 23 23 24 26 27 28 27 29 30 30 32 34 39 45 48 53 63 61 61 63 64 67 70 69 60 56 56 57 55 56 56 55 54 50 46 42 37 38 41 41 43 43 44 47 53 68 83 101 124 150 183 237 286 313 329 342 357 426 586 691 799 994 1114 1506 1762 2063 2387 2457 2308 2113 1951 1795 1633 1503 1421 1351 1318 1289 1240 1157 926 868 788 720 699 688 677 731 794 670 552 462 350 285 224 172 131 112 139 193 222 220 205 215 272 373 512 745 951 1430 1870 1768 1507 1256
37 43 47 54 58 58 52 45 35 24 20 21 26 36 44 50 48 45 44 40 33 27 26 26 25 27 26 29 33 34 33 41 47 47 41 33 27 24 21 18 17 14 11 10 10 12 15 17 16 13 11 9 7 8 5 6 6 5 7 8 8 7 8 7 5 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 2 2 1 1 2 2 3 3 4 5 5 5 5 4 4 4 3 3 3 5 5 6 6 5 5 5 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 19 90 251 484 703 1130 1531 1018 447 548 1004 1429 1689 1803 1897 2050 2262 2505 2712 2848 2701 2278 1848 1530 1236 1015 921 902 877 840 768 700 659 642 665 732 803 811 869 1069 987 492 180 52 23 3 0 1 22 79 56 11 0 0 0 0 0 2 7 11 6 1 4 9 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 26 42 50 42 34 37 36 34 31 25 23 23 29 35 39 43 47 50 54 58 64 76 87 94 91 83 73 68 70 79 90 100 120 147 163 159 154 148 134 121 115 113 115 118 121 123 120 115 112 115 113 110 108 106 102 95 90 90 88 85 81 77 77 83 92 96 100 100 99 98 101 101 103 103 99 96 91 85 75 65 58 54 51 49 49 51 53 56 58 58 59 59 59 60 63 65 64 64 66 64 54 48 54 56 45 37 39 31 26 24 18 20 23 23 22 22 18 12 10 9 7 4 2 2 2 1 0 0 1 4 8 10 11 19 23 32 35 33 29 30 36 45 49 50 58 65 61 64 66 65 55 54 60 67 67 62 53 49 46 42 34 29 29 29 26 23 21 21 21 23 24 24 22 20 18 18 23 27 27 26 25 25 27 29 27 28 30 29 30 33 36 42 45 49 51 52 53 52 50 53 60 70 61 54 50 49 48 51 51 51 51 50 47 41 38 36 37 38 38 37 37 37 39 45 52 63 82 107 135 174 216 249 278 297 311 328 401 455 512 684 907 1122 1373 1770 2358 2803 2720 2435 2279 2185 2031 1838 1720 1609 1511 1409 1339 1311 1162 1040 901 758 718 742 739 766 809 841 684 504 381 292 227 174 126 91 90 117 152 178 180 186 226 290 374 585 873 1295 1666 1690 1470 1252
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27 23 23 25 27 27 26 27 29 36 40 51 70 72 68 66 59 55 40 33 33 32 30 28 27 29 34 38 36 30 24 19 16 17 18 19 21 24 21 17 15 16 22 26 21 26 19 14 15 13 9 8 9 7 6 8 8 6 4 3 4 5 7 7 6 6 5 4 3 2 1 1 2 3 4 4 3 3 3 2 2 1 1 1 1 2 3 3 2 1 2 4 5 5 5 5 5 5 5 4 5 4 4 5 5 5 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 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 8 55 310 563 616 596 523 693 1107 1477 1720 1826 1821 1709 1571 1510 1467 1522 1594 1701 1949 2334 2432 2338 2246 2253 2310 2286 2120 1914 1763 1677 1610 1611 1651 1545 1276 973 692 415 176 51 28 47 68 92 146 216 231 161 68 21 5 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 21 21 20 23 24 22 21 20 22 25 28 30 39 51 62 67 68 68 70 71 69 66 63 59 58 58 59 65 76 83 86 87 89 91 95 98 102 106 109 113 115 115 114 113 114 116 118 122 119 116 115 116 115 115 113 109 107 105 105 103 100 91 79 73 72 71 71 71 70 71 71 72 72 71 71 71 66 62 57 51 49 48 50 51 50 49 49 49 50 52 54 56 57 59 65 71 76 78 74 64 55 55 59 57 51 39 35 34 32 30 27 23 20 18 15 13 11 8 5 2 3 1 0 0 0 0 0 0 0 0 0 1 4 5 7 12 17 22 30 36 42 47 52 62 67 64 67 73 80 82 80 79 76 70 66 63 65 62 60 54 52 54 52 51 52 47 41 34 30 29 31 37 41 44 45 38 28 31 40 45 44 40 36 35 34 31 30 27 28 27 26 25 25 26 26 27 29 29 29 29 29 28 26 24 21 20 18 18 17 17 18 20 21 22 22 21 21 23 26 29 30 30 30 29 30 32 32 33 35 36 38 37 39 44 48 52 61 69 82 98 109 115 118 111 114 174 304 497 729 810 1070 1500 1918 2303 2629 2774 2629 2467 2268 2077 1782 1593 1411 1227 1016 806 664 569 484 417 372 324 268 219 160 101 69 34 21 20 23 43 88 139 197 386 813 1038 982 934
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