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 3 3 4 3 2 2 2 3 4 3 2 2 3 4 4 5 5 5 5 4 4 4 6 6 6 6 5 5 4 4 3 3 4 4 2 1 1 1 2 2 2 2 2 2 3 3 3 4 4 3 3 3 3 3 4 4 4 4 3 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 6 5 5 6 6 6 7 7 7 7 7 8 7 7 7 7 6 6 5 5 5 5 5 5 5 5 6 7 7 7 7 6 6 7 9 11 9 7 5 7 10 8 9 10 10 5 4 10 11 7 3 0 2 10 11 3 5 7 9 11 11 7 1 -5 -5 -0 1 -1 0 3 3 5 7 6 2 -2 -5 -2 4 5 2 0 -0 -1 -1 -2 -0 3 4 3 4 5 4 -0 -1 7 12 8 4 4 3 2 0 0 2 8 26 44 39 22 9 5 6 7 8 8 6 5 4 4 4 4 4 4 3 4 3 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 4 5 7 8 9 9 8 6 5 5 5 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 4 5 7 9 7 4 4 4 4 5 4 4 3 3 3 3 3 3 3 4 4 5 5 4 3 2 3 4 6 6 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 4 6 8 11 17 19 14 10 6 3 3 -1 -5 -8 -7 -6 -1 2 4 4 2 1 -0 -3 -5 -6 -11 -17 -18 -18 -15 -11 -4 2 5 6 6 7 9 13 17 17 17 15 10 7 6 6 7 7 8 10 13 13 11 12 14 13 10 9 9 8 8 7 6 6 7 6 5 5 5 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan 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 3 3 3 3 3 2 3 3 4 3 2 2 2 3 3 4 5 5 5 5 4 5 5 5 6 7 6 6 5 4 3 3 4 5 4 3 2 2 2 2 2 2 2 2 2 2 3 3 3 2 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 5 4 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 6 6 7 7 7 7 8 8 8 8 8 8 7 7 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 9 10 10 8 7 4 9 11 10 12 10 8 2 4 9 9 5 2 0 -1 3 7 5 4 4 6 7 9 9 7 2 -0 -1 -2 -3 -2 0 1 2 4 5 4 3 3 1 1 3 4 2 -2 -5 -5 -4 -2 1 2 2 3 3 2 -4 -0 11 12 5 2 1 3 5 5 5 8 18 33 40 29 13 5 5 6 7 8 8 6 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 4 5 6 7 7 6 6 7 8 7 5 5 4 4 5 6 7 6 5 5 4 4 5 5 5 5 5 6 5 5 4 5 5 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 5 5 4 3 3 3 4 5 6 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 3 2 2 2 2 1 1 2 2 2 2 3 4 6 9 13 13 11 11 11 12 11 10 10 6 4 4 6 7 9 10 8 6 2 -1 0 1 -3 -8 -9 -9 -8 -6 -0 5 5 5 5 5 7 8 10 12 10 5 4 5 5 6 7 7 8 8 8 7 8 8 8 8 8 8 8 7 6 6 6 6 6 5 5 5 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 4 3 3 3 2 3 3 4 4 3 3 3 2 2 3 4 4 4 4 5 5 4 4 5 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 3 4 3 3 3 4 4 3 3 3 3 3 4 5 5 5 5 4 5 5 5 4 4 4 4 3 4 3 3 3 3 4 5 5 5 5 4 3 4 4 3 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 7 6 6 5 5 5 5 5 6 5 6 6 6 7 7 7 8 9 10 9 8 6 7 12 8 6 8 5 1 -2 3 7 6 3 2 2 -4 -3 1 7 4 1 3 3 4 8 8 6 3 1 -2 -3 -1 1 2 0 1 3 4 4 4 3 2 0 -0 -0 -1 -3 -2 -2 -4 -5 -1 1 1 -1 -2 -2 7 12 5 -1 -3 -2 3 6 9 11 15 22 28 27 17 8 4 5 6 7 8 7 6 5 4 4 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 5 5 9 13 7 5 5 4 5 6 7 6 5 5 5 5 5 5 6 6 6 6 6 5 4 3 3 1 1 1 -2 -2 2 3 4 3 4 3 3 3 3 3 4 5 5 5 4 3 3 2 3 4 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 4 4 4 3 3 3 2 1 1 1 0 0 0 1 1 1 2 2 3 4 5 7 7 9 9 9 10 12 12 10 10 9 9 7 7 6 5 6 5 3 2 3 5 3 3 4 3 2 3 4 5 5 5 5 5 5 6 7 6 4 4 4 5 5 5 6 7 6 6 6 6 6 6 7 7 7 7 6 5 5 4 5 5 6 6 5 5 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 4 4 3 3 3 3 3 4 3 3 3 2 2 3 3 3 3 4 5 5 4 3 4 5 5 6 5 5 5 5 5 4 4 4 3 3 4 4 3 3 2 2 2 2 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 5 4 5 5 6 6 6 6 6 6 7 7 8 9 10 9 7 3 -1 0 4 8 4 1 -0 -1 2 6 4 3 5 6 1 -3 1 6 3 1 1 2 4 5 5 5 4 3 2 2 4 6 4 2 1 1 2 3 2 1 1 -0 -4 -5 -3 -1 1 -1 -6 -8 -3 2 3 0 1 8 14 9 -1 -6 -5 -1 3 6 10 14 19 22 20 17 10 6 5 6 7 8 8 7 5 5 4 4 3 3 3 4 4 4 5 5 5 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 4 4 5 5 5 4 6 11 9 5 5 5 5 6 6 5 4 5 5 5 5 5 5 6 6 7 6 5 4 4 5 4 -1 -2 -3 -6 -3 1 3 3 3 3 3 3 3 3 3 4 4 5 4 3 3 3 3 3 3 4 5 6 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 2 2 1 1 1 1 0 -0 -0 0 1 1 1 2 2 3 3 5 7 7 6 6 7 7 7 7 7 9 10 7 3 2 4 7 9 8 6 6 6 7 9 7 3 3 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 3 4 5 7 7 7 5 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 5 5 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 5 5 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 7 8 8 8 8 8 8 8 7 7 6 6 5 5 4 5 5 6 6 7 7 7 7 7 8 10 9 8 7 -0 -11 -15 -0 11 7 6 5 2 5 9 5 4 5 7 5 2 2 3 3 2 2 3 3 3 3 4 3 5 6 5 8 9 5 3 2 1 1 1 1 1 1 1 -2 -4 -3 -1 -1 -1 -2 -0 4 8 9 6 10 18 14 3 -3 -4 -1 2 5 8 12 16 21 20 16 11 8 6 6 6 7 8 7 6 5 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 5 5 5 3 5 8 5 5 6 5 5 6 5 4 4 4 5 5 5 5 5 5 6 7 7 5 4 4 4 3 1 -3 -4 1 6 5 3 2 2 3 4 4 3 4 4 4 4 5 4 3 3 3 3 3 3 3 4 5 6 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 5 6 5 5 5 5 5 4 3 3 3 2 2 2 2 1 0 -0 -1 -0 0 1 1 2 2 2 3 4 5 4 4 5 4 4 4 3 5 11 12 8 6 4 9 15 15 15 14 10 8 6 4 2 1 2 3 4 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 6 8 7 6 6 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 4 4 5 5 4 4 3 3 3 4 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 3 4 4 4 4 4 3 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 6 7 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 5 4 4 5 5 5 6 6 7 7 8 7 8 9 9 8 6 1 -4 -4 3 5 5 11 10 4 6 8 8 6 5 5 6 4 3 3 2 2 2 3 2 3 3 3 3 5 6 4 5 5 3 2 1 2 3 4 3 4 4 4 3 3 4 4 4 8 10 9 10 11 14 15 18 17 6 -2 -1 1 4 7 8 12 16 18 20 18 14 9 7 7 6 6 8 8 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 3 3 2 3 3 5 6 5 3 4 6 6 6 4 3 4 5 5 4 4 4 5 5 5 5 5 6 6 7 6 4 3 4 4 4 3 -1 -1 5 9 7 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 5 4 4 5 4 4 4 3 1 -1 -1 -1 -1 -1 0 -0 0 1 1 2 3 3 4 4 5 4 2 1 6 12 13 11 7 10 16 18 20 15 9 6 5 4 4 2 1 0 0 2 4 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 6 6 6 5 4 4 5 6 6 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 4 5 5 4 5 6 7 8 8 7 7 8 9 10 10 9 9 9 8 8 7 6 5 4 4 4 5 6 6 6 7 8 8 8 8 9 9 8 6 4 4 9 13 7 1 5 5 1 4 10 11 8 5 4 6 5 3 3 2 2 3 3 3 3 3 3 2 3 4 3 1 -0 0 1 2 4 8 9 7 5 6 7 9 11 12 14 13 15 18 12 11 12 13 17 16 10 3 0 1 3 7 11 14 18 21 21 19 16 12 8 7 7 6 7 8 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 5 6 5 3 3 3 4 5 4 4 5 5 5 6 5 5 6 6 6 6 6 6 6 6 5 4 4 3 4 4 3 3 -0 -1 3 4 3 2 2 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 4 4 5 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 2 3 3 3 4 3 4 4 4 5 5 5 5 5 5 6 6 7 7 7 6 6 5 3 -0 -2 -2 -1 0 1 3 3 3 3 3 3 4 4 5 6 5 2 1 3 6 7 8 11 13 14 13 9 6 5 6 6 7 6 3 -1 -3 -3 -1 2 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 5 6 6 6 6 5 6 6 7 7 7 6 5 4 4 4 5 6 6 6 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 3 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 3 2 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 3 3 4 4 4 4 4 4 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 7 8 7 7 8 10 11 11 11 10 9 9 9 8 7 6 5 4 3 4 5 6 6 6 7 8 9 9 8 8 8 7 6 5 4 5 8 10 6 2 -0 -1 5 11 12 9 6 4 5 6 5 3 3 3 3 4 4 3 3 2 2 2 2 1 1 -0 1 2 4 7 12 13 8 4 5 5 8 11 14 15 12 11 16 15 11 14 12 10 9 3 1 3 2 3 10 16 20 23 25 24 19 13 9 7 7 6 6 7 7 7 6 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 5 4 4 4 3 3 3 4 3 3 3 3 2 2 2 4 4 5 4 3 1 3 5 5 4 4 5 6 6 6 7 6 6 6 7 7 7 5 5 5 5 5 4 4 4 4 4 4 3 1 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 3 4 4 3 4 4 4 5 6 7 9 10 9 8 7 7 4 2 2 3 3 4 4 6 5 5 4 4 6 5 4 5 7 5 2 -0 -1 0 4 7 8 7 7 8 7 7 6 6 7 8 7 5 1 -3 -5 -3 -0 3 4 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 6 6 7 8 8 7 6 5 4 4 5 5 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan 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 5 5 5 5 5 4 4 4 4 4 5 6 5 5 4 4 4 4 5 5 5 3 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 4 5 4 4 3 3 2 2 2 2 3 3 3 4 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 8 9 10 11 11 11 10 10 10 9 9 8 6 5 3 3 4 5 6 6 7 7 8 9 9 9 8 8 7 6 6 5 2 -0 4 10 9 4 3 6 8 9 9 8 6 5 6 6 3 3 4 4 4 5 4 3 2 2 2 1 2 2 3 4 5 6 10 13 12 8 4 3 3 3 5 9 9 6 5 6 13 11 13 8 6 5 1 2 4 5 8 15 20 24 26 27 23 16 10 7 7 7 6 7 8 7 6 5 4 4 4 5 4 4 4 4 4 5 5 4 4 5 5 6 5 5 4 4 5 4 4 3 3 3 3 3 3 3 3 2 2 3 3 5 5 4 2 1 3 8 7 5 6 5 5 7 6 6 6 6 6 6 7 7 6 7 7 6 5 5 6 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 3 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 4 7 11 13 13 9 6 6 6 5 4 4 4 4 5 5 4 4 4 5 6 4 3 5 6 7 5 1 -0 1 4 4 4 6 7 8 7 6 5 6 7 9 11 10 5 -0 -2 -3 -0 4 4 5 4 4 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 6 7 8 8 8 8 6 5 4 4 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan 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 4 5 5 5 5 4 4 4 4 5 5 5 6 5 5 5 5 4 4 4 4 4 4 3 3 3 2 2 2 3 4 4 3 3 3 4 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 3 3 2 2 2 2 2 3 3 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 5 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 10 10 10 10 10 10 10 10 9 8 7 6 4 3 2 4 5 7 7 7 8 8 9 9 9 8 7 7 6 6 6 5 3 3 8 13 11 8 6 5 5 7 8 6 4 5 5 2 2 4 6 7 6 5 4 3 2 2 2 2 3 5 7 6 5 9 10 8 6 5 4 5 4 6 10 8 9 6 3 8 4 5 3 4 6 4 3 6 8 12 17 21 25 26 23 18 12 8 8 7 6 6 7 8 7 6 4 4 5 5 4 5 5 4 4 5 5 5 4 5 5 6 6 5 5 5 5 5 4 4 3 3 4 4 3 3 3 2 2 2 2 3 5 5 4 3 4 7 10 11 11 9 7 7 6 6 5 5 5 5 6 6 7 8 8 8 7 5 6 5 4 3 3 4 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 1 2 5 8 12 15 13 8 7 7 6 5 5 5 4 4 4 4 4 5 5 7 7 5 4 6 9 11 8 3 2 3 4 4 5 6 8 7 6 5 5 5 7 10 14 12 7 6 5 2 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 6 7 8 8 8 7 6 4 4 4 5 5 5 6 6 nan nan nan nan nan nan nan nan nan 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 4 5 5 5 5 4 4 4 5 5 5 6 5 5 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 4 5 5 5 5 5 4 4 4 5 5 5 4 4 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 9 9 9 10 10 11 10 10 9 8 6 5 4 3 3 4 5 7 8 8 8 8 9 10 9 9 8 6 6 6 6 6 6 7 10 15 14 10 6 4 4 5 4 2 2 3 3 1 3 6 7 8 8 7 5 5 4 3 3 4 4 5 7 5 4 4 5 5 5 5 5 9 13 13 18 19 16 4 6 12 -4 -9 -2 4 6 5 5 7 10 14 18 21 23 21 16 12 9 8 8 7 6 6 7 8 7 5 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 4 5 5 5 4 3 3 3 4 4 3 3 2 3 2 2 2 3 5 6 6 6 7 10 12 14 15 14 11 9 7 6 5 5 4 4 5 5 6 8 8 8 6 5 4 2 1 2 4 5 6 8 10 8 4 4 5 5 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 2 2 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 1 1 2 2 3 4 3 2 3 5 10 14 15 10 8 8 7 6 5 5 6 5 5 5 5 5 7 10 12 11 7 6 8 10 8 5 3 3 3 4 4 5 6 6 6 6 6 5 5 7 10 13 10 8 7 5 4 5 5 5 4 4 5 5 6 6 5 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 6 6 5 5 4 5 6 6 6 nan nan nan nan nan nan nan nan nan 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 4 5 5 5 5 4 4 4 5 5 6 6 5 5 6 6 6 6 6 4 4 4 4 4 5 4 3 3 2 3 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 3 3 3 3 3 2 3 2 2 2 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 6 5 5 6 5 5 5 4 5 6 7 7 7 8 9 10 11 12 12 11 10 9 7 6 5 3 2 3 4 5 6 8 8 8 9 10 11 10 8 7 6 6 6 5 5 6 10 12 15 11 6 3 6 8 6 3 2 1 3 4 2 6 10 6 6 9 8 6 5 5 5 5 4 3 2 3 3 2 2 4 4 5 5 6 14 20 17 17 23 17 5 5 16 8 -5 -0 4 5 5 8 9 11 15 19 21 19 12 8 8 8 8 7 7 6 7 8 8 6 5 5 5 5 5 5 4 4 4 4 3 4 5 5 5 5 5 5 4 4 4 5 5 5 3 3 4 5 4 3 3 2 3 3 3 3 4 5 6 7 7 9 10 12 13 14 14 12 11 10 9 8 6 5 4 4 4 4 4 5 5 4 3 1 -0 1 4 7 8 8 12 13 8 4 4 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 1 0 0 0 1 -0 -1 -4 -5 -3 2 4 4 5 5 5 5 5 5 5 4 4 3 4 4 3 3 2 1 1 0 1 1 2 3 5 6 4 2 2 6 10 12 9 8 8 8 6 5 6 6 7 8 6 7 9 8 8 10 11 8 5 6 7 7 6 4 3 3 3 4 5 5 6 6 7 7 6 5 5 6 8 9 6 4 2 3 5 6 5 5 4 5 6 6 7 7 6 5 4 3 3 3 3 4 5 5 6 6 6 6 7 7 7 7 6 5 5 6 7 7 6 6 nan nan nan nan nan nan nan nan 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 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 6 6 4 4 5 5 6 6 5 3 3 3 3 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 2 3 2 2 2 1 0 -0 0 1 1 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 5 5 5 5 4 4 4 3 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 6 5 5 6 6 5 4 4 5 5 6 7 7 8 8 10 12 14 13 11 10 8 7 5 4 3 2 3 4 5 6 7 8 8 9 11 11 10 8 7 6 6 6 6 6 7 7 6 6 4 -1 2 11 11 6 4 6 4 3 4 3 7 11 7 4 6 8 7 6 5 5 6 4 1 -1 -0 0 0 1 2 4 5 6 10 16 19 14 11 14 8 5 6 17 23 9 5 6 5 6 9 11 11 15 20 18 10 4 5 7 8 8 8 7 7 7 9 8 6 5 5 5 5 5 4 4 4 4 3 3 4 5 5 5 4 5 4 3 3 4 5 5 5 3 3 4 5 5 3 3 3 3 3 3 4 5 5 6 7 7 8 9 9 9 10 11 10 11 11 12 11 9 7 6 4 4 4 3 1 1 -0 -2 -2 0 5 12 14 12 13 15 12 6 4 4 4 4 3 4 3 3 3 3 3 4 4 4 4 5 4 5 5 4 3 2 1 1 1 0 -2 -5 -7 -8 -7 -4 3 6 5 5 5 5 5 5 4 4 3 3 2 3 2 2 3 1 1 1 -0 -1 0 2 4 6 5 -0 0 2 4 6 8 8 9 7 6 5 6 7 7 8 8 9 9 8 6 6 6 6 5 5 6 7 6 5 4 3 3 3 4 4 5 6 7 8 8 6 5 5 5 6 7 6 4 3 4 5 6 6 5 5 5 5 7 8 7 6 4 4 3 3 3 4 4 5 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 6 nan nan nan nan nan nan nan 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 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 7 6 4 4 4 4 4 3 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 2 0 -1 -1 -0 -0 1 2 2 3 2 2 3 4 4 3 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 5 6 6 5 5 4 4 4 3 3 3 2 2 2 2 2 2 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 4 4 5 5 5 6 7 8 9 10 12 13 12 11 9 7 6 5 4 3 3 4 5 6 6 7 9 9 10 11 10 7 7 7 7 6 6 6 7 8 3 -3 -2 1 -2 5 15 11 4 4 7 8 3 3 4 6 9 8 4 4 7 7 6 5 5 5 4 2 0 -0 -1 -1 0 1 3 5 8 13 12 8 6 7 7 4 3 4 12 19 12 8 5 5 9 12 11 11 15 17 11 0 -0 6 9 9 9 8 7 7 8 9 8 6 5 5 5 5 5 4 4 4 3 3 4 5 5 5 5 4 4 4 3 4 4 5 5 5 4 4 4 5 5 4 4 4 3 3 3 4 5 5 5 6 6 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 7 8 7 6 3 -1 -2 4 10 15 17 17 16 16 15 10 5 4 4 4 4 4 4 4 3 3 3 3 4 3 2 2 3 2 2 3 4 4 4 4 4 5 6 5 1 -1 0 -0 -2 2 7 7 6 5 5 4 4 3 3 1 1 1 0 0 1 1 0 0 1 -0 -3 -3 -1 1 4 4 2 1 3 5 6 6 8 9 9 7 8 10 12 10 9 10 8 6 7 6 6 6 6 5 5 5 6 6 6 5 4 4 4 4 4 4 5 6 7 8 7 5 4 4 5 6 9 11 8 6 5 5 5 6 7 6 4 4 8 8 6 5 4 4 3 4 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 6 6 6 6 5 5 6 6 6 6 5 4 5 5 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 2 1 0 -0 -0 0 1 2 2 2 2 3 3 4 3 3 3 3 3 3 4 4 5 4 4 5 4 4 5 5 5 5 6 6 5 5 5 5 4 4 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 6 6 5 5 5 5 4 4 5 6 6 6 8 9 8 10 12 12 11 9 8 7 5 5 4 3 3 5 6 6 7 7 8 9 9 9 8 7 8 7 6 5 6 6 8 7 3 -1 0 5 3 7 12 9 3 5 7 9 1 1 3 5 7 7 4 3 5 5 5 4 4 4 3 2 2 1 1 0 1 2 4 6 11 16 8 0 3 5 5 5 0 -1 6 10 8 7 5 6 11 13 12 11 14 13 1 -7 1 9 11 10 10 9 8 8 9 9 8 6 5 5 5 5 5 4 4 4 4 3 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 3 3 3 3 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 8 10 12 13 12 8 5 7 12 16 15 14 12 12 12 11 9 6 5 5 4 3 4 4 4 3 3 3 2 1 -1 -3 -2 -1 -4 -6 -4 1 4 5 6 7 10 13 16 16 13 8 7 8 6 7 7 7 5 5 4 3 2 1 0 -0 -0 -1 -1 -1 -2 -3 -4 -3 -3 -5 -5 -3 1 3 4 5 5 6 8 7 6 6 9 10 10 11 14 17 16 14 11 8 7 8 7 7 6 6 6 5 5 5 6 6 6 6 5 5 4 4 4 4 5 6 6 6 5 3 3 3 5 7 10 11 9 7 6 5 6 6 7 7 4 4 7 7 6 5 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 3 2 1 1 1 1 1 1 2 2 2 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 6 6 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 4 3 4 4 4 5 6 6 5 5 5 5 4 4 6 6 6 7 9 9 9 10 12 12 10 8 6 5 4 4 4 4 4 5 6 7 8 8 8 8 8 8 7 8 9 7 5 5 6 8 9 7 4 5 5 10 9 10 6 6 2 6 9 10 3 1 1 5 7 7 5 3 4 5 5 5 4 3 2 2 2 2 2 2 2 2 3 6 15 22 15 6 5 6 6 3 -2 -2 5 10 7 6 5 8 11 11 10 10 12 8 -5 -8 3 11 12 11 10 9 8 8 10 10 8 6 5 5 5 5 5 4 4 4 3 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 4 4 3 3 2 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 3 3 4 4 5 6 9 11 12 12 11 8 7 9 11 10 10 9 7 7 8 8 8 7 6 5 4 4 4 3 3 3 2 2 -0 -2 -4 -3 -1 -2 -6 -7 -6 -3 1 5 7 8 10 13 18 21 20 15 9 8 8 7 6 6 5 4 3 2 1 1 1 0 0 -0 -1 -1 -1 -4 -7 -7 -5 -0 1 1 2 3 4 4 5 5 7 8 8 6 7 9 11 5 3 10 13 11 9 8 8 8 8 8 7 6 6 5 5 5 5 6 6 6 6 6 5 5 4 4 5 6 6 5 4 4 2 2 3 5 7 9 9 8 7 6 5 5 7 8 8 6 7 8 7 6 6 5 5 5 6 7 7 6 7 7 7 6 6 6 7 7 7 7 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 4 3 4 4 4 4 3 3 3 3 3 3 4 5 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 5 5 4 4 3 2 1 1 1 2 2 2 3 3 2 2 3 3 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 4 5 5 5 6 5 5 5 5 4 5 6 6 6 9 10 10 11 11 12 12 10 7 5 4 4 4 4 4 5 5 6 7 8 8 8 9 8 8 9 11 10 7 5 4 6 9 10 8 6 5 6 13 16 13 5 6 3 6 11 11 8 3 2 4 7 5 4 4 5 7 8 7 5 3 2 2 3 2 2 2 2 1 2 9 19 22 18 13 8 6 6 2 -3 -2 6 10 7 4 5 9 11 9 9 10 10 3 -8 -5 6 12 12 10 10 9 8 9 10 10 8 6 5 4 5 5 5 4 4 3 3 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 3 2 2 3 2 2 2 2 3 4 4 4 4 4 4 4 3 3 3 3 3 4 5 6 6 7 8 8 7 6 5 6 7 8 7 7 7 7 7 8 7 7 6 5 4 4 4 3 3 2 2 0 -0 -1 -2 -1 2 4 2 1 1 1 -1 -2 1 3 4 6 8 11 14 15 14 9 5 5 5 4 4 3 2 0 -0 -1 -0 -1 -2 -1 1 2 1 2 3 2 2 4 7 7 5 5 4 3 3 4 5 6 7 7 7 8 9 7 4 2 3 6 5 7 7 7 8 8 8 7 7 6 6 6 5 5 6 6 6 6 6 6 5 4 4 5 6 6 5 4 4 4 3 2 3 6 8 9 8 7 6 5 5 6 7 8 7 7 7 7 6 5 6 5 6 6 6 6 6 7 7 7 7 6 6 5 6 6 7 7 7 6 5 5 nan nan nan nan nan 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 5 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 5 5 6 5 6 6 6 6 5 5 4 4 3 3 2 2 1 2 2 2 2 3 3 3 4 4 4 4 4 4 4 5 4 5 6 6 6 6 7 6 3 1 1 1 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 6 6 5 6 5 4 4 5 6 7 7 9 11 12 13 13 13 11 9 6 4 4 4 4 5 5 5 6 6 7 8 8 9 9 8 8 10 12 11 8 5 4 4 7 8 8 8 6 6 12 20 15 8 6 8 6 8 12 9 5 4 4 5 4 2 2 5 11 13 10 5 3 2 3 3 3 2 1 2 2 4 13 19 13 10 8 7 7 6 2 -2 -0 6 9 6 4 5 9 10 9 8 10 8 -1 -9 -2 9 13 12 10 9 8 8 9 10 10 8 6 5 5 5 5 5 4 4 3 3 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 2 3 3 2 2 1 2 3 4 4 5 4 3 3 2 2 2 2 3 4 4 5 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 6 5 5 4 4 3 3 3 2 1 1 1 1 2 4 5 5 4 2 3 3 1 -3 -4 -4 -3 -1 1 5 8 8 8 6 5 4 3 2 1 -0 -1 -5 -7 -6 -1 -1 -6 -2 4 6 5 6 9 12 11 10 8 8 7 7 6 5 5 7 7 7 8 8 8 8 9 9 10 8 4 4 5 6 6 7 7 8 8 7 7 7 7 6 6 6 6 6 5 6 7 7 5 3 4 5 6 6 5 5 5 6 5 3 2 4 6 7 8 8 7 6 6 5 6 5 5 6 6 6 5 5 6 5 6 6 6 6 6 7 7 7 7 7 6 5 5 5 6 6 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 6 7 5 4 3 3 3 3 3 3 4 4 4 3 3 2 2 2 3 3 4 5 5 5 5 6 6 6 6 6 5 4 3 2 2 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 4 5 5 6 7 8 7 5 3 2 2 2 1 2 2 2 1 2 2 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 6 6 5 6 5 5 5 5 6 6 7 8 10 12 14 15 14 13 10 8 6 5 4 4 5 5 5 6 6 6 7 7 8 9 9 7 7 10 12 12 9 6 4 5 6 7 7 9 8 6 10 18 12 8 8 11 4 2 8 8 7 4 3 4 3 1 1 4 12 16 11 6 4 2 2 3 2 1 0 3 4 8 14 15 8 7 6 6 6 5 4 2 4 7 8 5 4 7 10 10 8 7 8 5 -5 -8 2 11 13 12 9 7 7 8 10 11 10 8 6 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 4 4 4 4 4 3 3 3 2 2 2 2 2 3 3 4 4 4 3 2 2 2 2 2 3 4 4 5 5 5 5 5 6 6 7 7 7 8 8 8 7 7 8 8 8 8 6 5 5 5 4 4 4 5 4 4 4 4 4 5 5 4 4 3 1 -2 -1 1 -0 -3 -3 -3 -3 -4 -3 1 4 5 5 5 3 2 2 -0 -3 -5 -7 -8 -8 -4 -1 1 2 4 6 7 7 8 9 11 11 8 6 7 7 7 7 7 9 10 9 11 12 12 9 5 5 7 7 5 5 5 4 5 5 6 6 7 7 7 8 7 7 7 7 7 6 5 4 6 8 8 5 2 3 4 5 6 5 5 5 6 7 7 3 -0 3 7 8 9 8 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 8 8 7 6 5 4 5 6 6 6 6 6 nan nan nan nan nan 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 7 9 6 4 2 3 3 2 2 3 4 4 4 3 3 3 2 2 2 3 3 3 4 4 4 5 5 6 6 6 6 6 5 4 4 3 3 3 2 2 2 2 1 1 2 2 2 2 3 2 3 3 3 4 4 5 6 7 7 6 4 4 3 2 2 2 2 1 2 2 2 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 6 6 6 5 5 5 5 5 7 7 7 9 12 14 16 16 15 12 9 7 6 5 5 5 6 6 6 6 6 7 7 8 8 9 9 7 7 9 12 11 9 6 4 5 7 7 6 8 9 5 7 14 9 8 12 13 5 -0 0 6 8 6 4 5 3 2 1 2 8 12 9 6 5 4 2 1 -0 -1 0 3 7 10 14 13 10 9 7 6 6 5 6 7 8 9 8 5 6 9 10 9 7 6 7 5 -7 -8 5 12 13 11 7 6 7 8 10 10 10 8 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 3 2 2 2 2 2 2 3 3 4 5 5 5 5 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 3 2 1 1 1 2 2 1 2 2 2 2 1 1 -1 -1 1 3 4 4 3 3 2 -2 -6 -6 -2 1 3 4 5 6 6 6 5 5 6 7 8 9 10 8 7 9 9 9 9 11 13 16 15 11 9 7 6 3 3 4 5 4 4 4 4 4 5 5 5 6 6 7 7 8 8 7 7 6 4 4 6 9 8 6 4 3 3 3 4 5 5 5 5 7 9 9 3 1 6 8 9 8 7 6 5 4 5 4 4 3 3 4 4 4 5 5 6 6 5 6 6 6 7 8 9 8 7 6 5 5 5 6 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 8 9 6 3 2 2 2 2 2 2 3 4 4 4 3 3 3 3 2 2 2 2 2 3 4 4 5 5 6 7 7 7 7 7 6 6 6 5 5 4 3 3 3 2 2 1 1 2 2 3 3 3 3 3 4 5 5 6 7 7 5 5 4 3 3 3 3 3 3 2 2 2 3 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 5 5 6 6 6 5 5 5 5 6 7 6 7 11 14 16 16 15 13 9 8 7 7 5 4 5 6 6 6 6 6 7 7 8 9 9 9 8 8 9 11 11 9 5 4 5 7 7 6 8 11 6 3 6 6 7 15 20 10 0 -2 4 7 7 8 9 5 3 1 -0 2 5 6 5 5 3 1 -1 -1 -0 1 4 9 12 13 12 10 7 7 7 6 5 6 9 11 10 8 7 8 10 9 8 7 7 7 5 -6 -7 6 12 11 9 6 5 7 9 11 11 9 7 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 3 3 3 4 5 4 5 5 6 6 7 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 5 5 5 4 3 3 4 5 7 8 8 8 6 4 3 2 3 3 0 -0 -1 0 2 4 5 6 5 4 3 5 7 7 6 6 5 5 4 5 5 4 4 6 6 8 10 11 9 12 13 11 9 9 12 13 10 6 4 5 5 4 3 4 5 4 4 4 3 3 4 4 4 5 6 6 6 7 8 8 7 5 4 4 5 7 7 5 5 5 4 3 2 3 4 4 5 5 7 10 8 5 5 7 8 8 8 7 5 5 5 4 3 3 3 3 4 5 6 5 6 5 5 5 6 6 7 8 9 9 8 7 6 5 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 7 8 6 3 2 2 2 2 3 3 3 3 4 4 4 4 4 3 2 2 2 2 2 3 3 4 5 5 5 6 6 6 7 7 7 7 7 8 7 6 6 6 5 5 4 3 2 2 2 2 2 3 3 4 4 4 5 6 7 7 6 5 5 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 5 4 4 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 6 5 5 6 6 6 6 9 15 18 18 16 14 9 6 6 6 5 4 4 4 5 6 6 5 5 6 8 9 9 10 10 9 8 8 10 10 8 5 4 5 6 8 6 8 14 10 3 2 3 4 12 18 13 7 3 4 6 6 9 10 8 3 2 1 1 2 4 4 3 1 0 -0 0 1 3 8 12 12 11 10 6 6 7 7 6 5 8 11 11 10 9 9 9 8 8 7 7 7 6 1 -6 -4 6 11 9 7 5 5 7 9 10 10 8 7 6 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 10 11 12 15 11 6 4 2 1 0 0 1 2 3 3 2 3 6 6 6 8 10 10 8 6 6 6 5 5 5 7 6 5 6 6 6 7 9 10 12 11 8 6 6 7 6 5 5 4 4 4 3 3 4 4 5 4 4 3 3 4 4 4 5 5 5 6 6 7 7 6 5 5 4 5 5 5 5 4 5 6 6 4 0 2 4 4 4 5 6 6 5 5 6 7 8 8 8 7 6 5 5 4 4 5 5 5 6 7 7 6 6 5 5 5 4 6 7 8 9 9 8 7 7 7 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 6 7 6 3 2 2 3 3 4 4 4 3 3 4 4 4 5 4 4 3 3 3 3 3 3 4 4 4 5 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 6 5 4 3 2 2 2 4 4 4 4 4 5 6 7 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 5 5 6 7 7 9 17 25 24 20 16 9 4 4 5 5 4 3 4 4 4 5 5 5 5 6 8 9 10 10 10 10 8 8 9 8 6 5 5 5 6 8 6 6 11 11 7 4 2 4 4 7 8 9 6 5 6 4 6 7 8 5 1 2 4 3 4 3 2 1 1 1 2 2 6 11 12 10 11 11 8 9 10 8 5 5 7 8 9 9 10 10 8 7 6 7 7 7 5 -0 -7 -4 6 9 8 6 5 5 7 9 10 9 8 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 2 3 3 3 3 3 3 3 3 4 4 5 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 7 7 8 8 9 9 9 9 9 9 11 13 16 16 13 11 9 5 2 2 3 4 5 4 2 3 4 4 6 8 9 9 8 6 5 5 5 6 6 8 8 7 7 6 7 9 10 11 9 6 5 5 6 7 7 6 4 3 3 2 3 3 3 4 4 4 4 3 3 3 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 4 4 4 5 6 6 8 6 2 4 4 4 4 4 4 5 5 5 6 7 8 8 8 7 7 6 6 6 6 6 6 7 8 8 7 7 6 5 4 4 5 6 7 9 9 8 8 7 7 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 6 5 3 3 3 3 4 4 5 5 5 4 4 4 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 3 3 3 3 4 4 5 5 5 6 6 7 7 8 7 7 6 5 3 2 3 4 5 5 4 4 5 6 6 7 6 6 6 5 5 6 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 6 7 7 8 18 38 42 30 19 10 2 -0 3 5 5 4 4 4 4 4 5 5 5 5 6 8 10 11 11 11 10 8 7 7 6 4 5 4 5 6 8 6 1 3 6 9 8 6 5 3 2 4 7 4 5 7 5 3 4 5 5 2 2 2 3 2 3 2 2 2 2 2 4 9 13 10 6 9 12 12 12 12 7 4 4 2 1 5 8 10 10 7 6 6 6 6 6 5 1 -4 -3 4 7 7 7 5 5 7 9 10 9 8 7 7 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 5 5 5 5 5 5 5 5 4 5 5 5 5 6 5 5 5 5 5 6 6 6 7 8 9 10 10 10 10 10 9 9 9 10 12 13 15 16 16 16 15 12 10 9 8 6 5 5 5 4 4 5 7 8 7 7 6 5 5 5 6 7 8 9 11 10 10 12 13 11 10 7 5 5 5 7 8 7 5 4 3 2 2 2 2 3 3 4 4 3 3 3 3 4 3 3 4 4 5 5 5 6 6 5 5 5 5 5 4 4 5 5 5 6 8 8 5 5 4 4 4 4 4 4 4 5 5 6 8 8 9 8 8 7 7 7 6 6 6 7 8 8 9 8 7 5 5 5 5 6 7 8 9 8 8 7 6 7 7 7 6 6 nan nan nan 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 4 4 5 5 5 5 4 4 4 5 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 2 3 3 3 4 4 4 4 4 5 6 7 7 7 7 7 6 4 5 5 6 5 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 6 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 6 7 8 12 31 50 44 25 13 2 -6 -4 2 5 5 5 4 4 4 5 5 6 6 6 7 8 10 12 12 11 10 8 6 5 3 3 4 3 3 6 9 10 2 0 4 9 9 7 3 2 3 4 5 4 4 7 7 4 4 4 5 6 4 1 -0 -0 2 3 3 3 2 3 5 10 11 6 5 9 11 11 10 8 3 3 4 -2 -3 2 5 10 11 7 5 4 4 5 6 5 1 1 -0 2 6 7 7 5 5 7 9 9 9 8 7 6 6 5 5 5 4 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 3 2 2 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 9 10 10 10 10 9 9 9 9 9 9 10 11 11 12 15 16 18 19 17 14 13 11 11 13 11 7 7 7 6 7 8 9 10 9 10 11 9 10 10 10 13 14 12 10 8 7 7 6 6 5 5 6 7 6 5 4 2 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 7 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 7 6 6 6 7 7 8 9 8 7 6 6 6 6 6 7 7 nan nan 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 3 3 3 2 3 3 3 3 3 4 4 5 5 6 5 4 3 4 5 5 6 6 6 6 5 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 7 8 8 8 8 8 6 4 4 4 5 5 5 5 6 6 7 6 5 6 6 6 6 6 5 4 4 5 5 5 4 4 4 5 4 4 4 5 5 5 5 4 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 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 7 8 10 16 30 36 27 16 6 -7 -13 -6 2 5 5 5 5 6 6 6 6 6 6 7 7 8 10 12 13 12 10 7 4 2 2 3 3 3 4 6 9 12 7 5 7 8 7 5 2 1 5 5 4 4 4 5 7 7 5 4 5 7 6 3 -1 -1 1 3 3 4 4 5 6 8 9 7 10 13 10 7 7 4 -1 1 4 -1 -3 -0 4 15 16 9 4 -1 0 5 8 9 5 5 3 2 5 7 6 5 5 6 8 9 8 8 7 6 5 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 5 4 4 4 5 5 5 5 4 4 4 4 5 4 4 4 4 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 6 5 5 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 15 15 14 13 13 14 19 23 19 14 13 11 10 12 13 17 16 16 17 17 15 13 10 9 9 7 5 4 4 6 5 5 5 5 6 6 5 5 3 2 1 0 1 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 4 5 5 5 5 5 4 5 5 5 7 8 8 8 7 7 6 6 6 6 6 6 7 8 8 8 7 7 7 6 6 7 8 8 8 7 6 5 5 5 6 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 3 2 2 2 3 3 3 3 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 2 2 2 3 3 3 3 4 3 3 4 3 3 3 4 3 3 5 5 7 9 10 10 8 5 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 6 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 5 5 6 5 4 4 5 6 7 8 10 13 17 20 20 14 8 1 -14 -18 -5 3 4 4 5 6 7 7 7 7 7 7 7 8 8 11 14 15 13 8 5 2 1 2 2 3 4 6 6 8 10 7 5 6 9 7 6 5 4 6 4 4 4 5 5 7 8 7 6 4 5 6 5 2 1 2 3 4 5 6 6 7 8 8 10 17 17 8 4 5 3 -2 -0 3 0 -1 0 8 19 18 10 4 -4 -3 3 10 14 9 3 5 5 5 7 7 5 5 6 8 9 8 8 7 6 5 5 4 5 5 5 5 5 5 5 5 5 6 5 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 5 6 5 5 5 6 5 6 6 7 7 8 9 9 9 10 10 12 15 20 23 21 18 16 14 13 13 14 14 14 15 14 11 10 7 5 4 4 3 4 5 5 5 5 5 6 6 5 4 3 2 1 1 1 1 3 4 4 4 4 4 3 4 4 4 3 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 5 4 5 5 5 5 5 5 5 4 4 5 7 7 7 7 7 7 6 7 6 6 6 6 7 8 8 8 7 7 7 7 7 8 8 8 8 7 5 5 5 5 5 6 6 nan 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 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 5 7 9 10 7 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 3 4 4 5 5 5 5 5 4 5 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 5 5 4 5 5 4 4 4 3 3 3 4 3 3 4 4 5 6 6 5 4 4 6 7 8 10 14 18 20 17 12 4 1 -2 -15 -15 -2 4 5 5 5 6 7 7 8 8 8 8 8 8 9 11 15 16 12 6 2 1 2 3 3 4 7 11 8 9 9 6 2 3 6 8 9 8 7 4 0 4 6 6 6 7 9 9 8 6 5 5 5 3 2 2 3 5 6 7 6 6 7 8 11 19 17 3 2 5 2 -2 1 3 4 6 11 15 18 17 10 3 -3 -5 2 13 18 11 3 4 5 5 7 7 5 4 6 8 8 8 8 7 6 5 4 4 5 5 5 6 6 6 5 5 5 6 5 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 7 8 8 9 10 12 14 14 13 10 9 8 8 7 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 2 2 1 2 3 4 5 5 4 4 4 4 5 5 4 3 5 6 7 6 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 5 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 8 7 6 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 6 5 4 4 4 3 3 3 3 2 3 3 3 3 3 3 4 3 2 2 2 2 2 2 2 3 4 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 5 4 4 4 3 3 4 3 5 6 7 5 3 3 2 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 5 4 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 5 4 4 4 4 3 3 3 3 3 4 5 6 6 5 5 5 6 6 7 9 14 20 23 20 15 7 -5 -9 -6 -9 -6 1 4 5 5 5 6 7 7 8 9 8 9 9 8 9 12 17 16 10 4 2 3 3 4 4 5 8 9 6 9 9 7 2 4 3 6 10 10 5 2 1 3 4 5 5 7 10 12 12 9 7 5 3 3 3 2 4 5 6 6 5 5 6 8 10 17 16 -2 1 6 1 1 3 4 12 23 27 18 15 17 12 3 -3 -4 5 16 17 8 4 4 4 5 7 7 4 3 5 7 8 8 8 6 6 5 5 5 5 5 5 6 6 5 5 5 5 6 5 4 4 5 5 5 4 4 4 5 5 5 5 5 6 5 4 4 4 4 5 4 4 4 3 3 3 2 2 2 1 2 3 3 3 3 3 4 5 5 6 6 5 4 4 5 4 4 4 5 6 6 6 6 6 7 6 6 6 6 6 6 5 5 4 4 3 3 3 3 2 2 3 2 2 2 2 3 3 3 2 1 2 2 3 5 5 5 5 5 5 5 6 6 6 7 6 5 5 5 5 5 4 4 4 3 3 3 4 4 4 3 4 6 6 6 5 5 5 5 4 3 3 2 2 1 2 4 5 6 5 5 4 5 5 7 6 4 4 4 6 7 7 5 4 4 4 5 6 6 6 5 5 4 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 4 5 5 6 6 6 7 7 8 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 8 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 10 9 7 8 8 7 6 4 4 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 2 3 3 4 4 4 4 5 5 5 5 5 5 4 3 3 4 4 5 5 5 5 4 3 3 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 6 6 5 5 5 6 7 8 13 21 27 24 15 10 4 -10 -16 -9 -3 1 4 5 5 5 6 6 6 7 7 8 9 9 9 9 10 14 18 15 6 1 3 5 4 3 3 6 8 6 3 4 8 7 3 4 2 3 10 13 4 -2 3 5 5 5 5 5 10 13 11 9 7 5 3 3 3 3 4 5 6 6 5 6 6 7 10 19 17 -1 -1 4 2 4 3 4 21 37 31 16 17 24 16 3 -5 -2 9 18 13 6 6 6 4 4 6 7 4 3 4 6 8 8 8 7 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 3 3 3 3 3 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 2 2 2 3 2 2 2 2 3 3 3 3 4 3 2 3 4 5 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 4 6 5 3 3 5 7 6 6 5 4 4 3 3 2 2 1 1 1 3 5 5 5 5 4 5 6 8 7 5 4 4 4 6 5 4 4 5 5 5 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 4 4 4 5 5 6 7 7 6 5 4 4 4 5 5 6 6 6 6 7 8 8 8 7 6 6 5 6 5 6 6 6 7 7 8 8 8 8 8 8 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 10 10 10 11 12 12 10 9 7 5 4 4 4 3 3 2 2 2 2 2 2 2 1 2 3 4 5 5 5 5 5 6 7 6 6 5 4 3 3 4 4 5 5 5 5 5 5 4 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 5 5 5 5 6 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 3 3 4 5 6 6 6 5 6 7 8 13 23 30 27 18 10 9 6 -10 -19 -10 -1 2 4 5 6 6 6 6 6 6 7 8 9 9 9 10 12 16 18 12 3 0 4 5 3 2 4 5 4 4 7 6 5 3 2 2 3 2 9 14 7 -3 2 7 7 7 6 5 5 7 8 7 5 4 3 3 3 3 4 6 6 6 6 8 8 8 10 17 14 5 0 1 3 5 -0 3 22 31 22 18 28 31 18 3 -5 -1 12 16 8 5 7 7 4 4 6 7 4 3 4 6 8 8 8 7 6 5 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 3 4 3 3 3 4 5 5 5 6 6 6 5 5 5 5 5 5 6 5 5 5 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 5 6 6 4 3 4 5 4 4 4 5 5 5 6 6 6 5 5 4 4 4 5 5 4 4 2 2 2 5 7 5 4 4 5 7 6 6 5 4 3 2 2 1 1 1 1 1 1 2 1 1 3 4 5 7 8 7 5 4 4 4 3 3 3 3 4 4 5 4 5 6 7 7 8 8 9 8 7 6 6 6 6 5 5 5 5 5 5 6 7 7 7 5 5 4 4 4 4 5 5 5 5 6 7 7 8 7 7 7 6 6 6 6 5 6 6 6 7 7 7 8 7 8 9 10 10 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 7 7 8 9 12 14 15 13 11 9 7 7 6 5 4 2 1 1 2 3 3 4 3 3 4 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 4 3 3 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 5 5 4 5 5 5 4 4 4 4 5 4 4 4 4 4 6 6 6 6 6 7 9 13 23 32 30 19 13 11 7 3 -10 -16 -7 1 3 5 6 6 6 6 6 6 6 6 7 9 9 10 11 13 16 16 10 3 2 3 4 2 1 4 6 1 -0 6 10 7 3 1 2 3 3 9 12 11 3 2 6 7 8 7 4 2 1 4 5 4 4 3 1 2 3 4 6 7 7 8 8 9 8 10 12 8 7 3 1 5 3 -7 -4 9 16 17 28 38 30 14 3 -2 4 14 13 6 5 7 6 4 4 6 7 5 3 4 5 7 8 8 7 6 5 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 2 3 3 3 4 4 4 3 3 3 4 5 5 5 5 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 5 5 4 4 4 4 3 3 4 3 3 3 3 3 3 2 2 1 1 0 1 4 6 7 6 5 5 4 4 4 5 5 4 5 5 6 6 5 5 5 4 4 4 5 4 4 3 2 3 6 7 6 5 4 5 5 6 6 5 4 3 2 1 0 2 3 4 3 2 1 -2 -3 -0 4 5 8 8 6 5 5 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 6 7 8 7 7 7 7 7 6 6 6 6 5 6 6 6 7 6 6 5 5 4 3 3 4 4 4 4 5 5 6 7 7 7 8 7 7 6 6 5 5 6 6 6 6 7 7 7 7 8 8 10 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 3 2 3 6 9 11 12 11 10 9 9 10 10 8 5 4 3 3 5 6 6 7 7 7 7 7 6 5 5 6 6 6 6 5 4 4 5 4 4 4 4 5 5 5 5 5 6 6 5 5 4 5 4 3 3 3 3 3 2 2 2 2 1 1 2 2 2 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 5 5 5 5 4 3 4 5 6 7 7 7 9 11 13 19 28 32 21 9 10 13 -2 -14 -12 -7 0 4 5 6 7 7 6 6 5 6 6 6 8 9 10 10 11 13 14 13 8 4 4 3 3 3 2 2 6 8 7 5 6 8 7 4 4 5 5 7 9 12 9 5 5 7 8 7 4 -0 0 3 4 4 3 1 0 1 3 4 7 8 8 8 7 9 9 10 9 6 6 5 3 6 1 -9 -7 5 15 26 39 39 25 10 1 0 9 14 10 5 6 8 7 5 4 6 7 5 4 4 5 7 8 8 7 6 5 4 4 4 5 5 6 6 5 5 5 5 6 6 6 6 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 2 3 4 5 5 4 4 5 6 6 6 5 5 5 5 6 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 1 1 1 1 2 5 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 4 6 7 7 5 4 4 4 5 5 4 3 2 1 1 2 4 6 8 7 5 3 1 -0 1 3 6 7 7 6 5 5 4 4 4 4 4 3 3 3 2 3 4 4 5 5 5 2 2 6 7 7 8 8 7 7 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 4 4 4 4 4 4 5 5 6 6 7 7 6 5 5 5 5 5 5 6 6 6 6 7 8 7 7 9 11 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 1 1 1 0 0 1 3 4 6 6 6 7 9 12 13 13 12 10 7 6 6 7 8 10 11 11 9 8 6 5 5 5 5 6 6 5 4 4 5 6 5 5 5 5 5 6 5 5 5 6 6 5 6 5 4 5 5 6 6 5 4 3 3 3 2 3 2 3 3 3 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 4 4 3 4 6 7 9 9 10 12 15 18 21 24 21 9 4 8 9 -8 -20 -8 2 5 6 7 6 6 6 6 5 5 6 6 7 8 10 11 11 12 15 14 11 6 4 5 3 3 7 6 6 5 5 6 8 9 9 8 7 6 8 7 6 8 10 10 6 5 7 8 9 4 0 1 3 4 4 2 0 0 2 4 6 9 9 9 9 9 9 9 10 9 7 7 7 6 6 1 -6 -0 13 21 32 37 30 17 7 2 4 10 11 7 4 6 8 8 6 4 6 7 5 4 4 6 7 7 8 7 6 5 5 4 4 5 5 6 6 6 5 5 6 6 6 6 6 4 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 4 4 4 3 3 3 4 5 5 4 5 5 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 4 5 7 7 6 5 4 5 4 3 2 2 1 2 3 4 5 6 9 10 9 7 3 2 3 4 5 6 6 6 5 5 4 5 5 5 5 6 5 5 0 0 4 4 4 6 8 5 1 4 6 6 7 7 6 6 5 6 6 6 6 6 6 7 7 7 6 6 6 7 7 6 5 5 5 4 5 5 4 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 7 8 8 8 8 9 12 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 2 1 2 1 1 1 1 1 1 2 3 5 7 10 14 16 15 12 8 6 7 8 11 13 13 10 7 5 4 4 5 5 6 6 5 5 5 6 6 7 7 5 5 5 5 5 5 5 5 5 5 5 5 4 5 7 8 9 7 5 5 5 4 4 3 3 3 4 4 4 5 5 4 4 3 3 2 2 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 7 9 11 11 13 14 15 16 17 17 11 2 2 6 5 -3 -7 1 7 7 7 6 5 5 5 5 5 6 6 7 7 8 10 12 13 13 15 16 11 4 3 5 2 2 8 8 9 7 2 1 6 9 9 9 8 8 9 10 7 7 7 8 7 5 6 8 9 5 2 3 3 3 4 2 -0 1 3 6 8 10 11 11 10 10 9 10 9 9 7 8 9 8 5 -1 -1 7 13 20 29 29 21 12 6 3 6 8 7 4 5 7 7 7 5 4 5 6 5 4 5 5 6 7 7 7 6 5 4 4 4 5 5 6 6 6 6 6 6 7 7 6 5 4 3 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 2 3 4 4 5 5 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 6 6 6 6 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 4 3 3 5 5 6 6 6 5 5 4 3 2 2 3 5 6 5 3 4 6 7 7 8 7 4 2 3 5 5 5 5 5 5 5 5 5 5 5 6 8 9 5 1 4 5 5 5 8 8 5 4 5 6 6 6 6 5 6 6 7 6 5 6 6 7 6 6 6 5 6 7 7 7 6 5 5 6 6 5 5 5 5 5 6 6 6 6 5 5 4 4 5 5 5 6 6 7 8 8 8 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 3 2 3 3 3 2 2 1 1 0 -0 0 1 2 3 7 12 13 12 9 6 6 7 10 13 13 10 8 7 6 5 5 5 6 6 5 5 5 6 7 8 8 7 6 6 5 5 5 4 4 4 4 4 4 4 5 7 9 9 7 4 5 6 5 4 3 4 3 3 4 5 5 6 6 6 5 3 2 2 3 3 3 4 4 4 4 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 5 5 5 5 6 6 5 4 3 4 5 8 12 12 12 12 12 12 12 13 13 8 2 2 5 5 5 7 7 7 7 6 4 4 4 4 4 5 7 7 7 7 9 12 15 15 14 15 14 8 1 2 5 2 2 5 8 7 6 7 5 3 5 7 9 10 10 11 11 8 6 5 6 6 6 6 6 7 5 4 4 4 3 3 1 0 2 5 8 11 11 10 9 10 11 11 9 9 9 8 9 9 7 3 -3 4 15 12 17 25 22 14 7 4 3 5 6 5 4 6 8 9 8 5 4 5 6 5 5 6 6 6 6 7 6 5 5 4 4 4 5 5 6 7 6 6 6 6 7 7 6 4 3 3 4 4 4 5 5 5 3 3 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 3 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 2 3 3 4 5 6 7 8 8 8 9 8 7 7 6 5 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 6 7 6 5 4 3 3 4 5 6 7 7 6 5 4 4 4 4 5 8 9 5 1 1 1 1 1 3 8 6 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 9 10 6 4 5 5 5 5 5 5 4 5 5 6 6 5 5 6 7 7 6 6 5 6 6 6 5 5 5 5 6 6 6 6 5 6 6 6 6 5 5 5 6 6 6 6 7 6 5 4 4 4 4 5 5 6 6 7 7 8 8 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 3 3 3 3 3 2 1 1 0 0 0 1 1 2 4 7 9 8 6 6 7 8 10 10 9 9 9 9 8 6 5 6 6 5 5 6 6 7 8 8 8 7 6 6 5 4 4 3 3 4 4 5 4 4 6 7 7 6 4 4 5 5 4 3 3 3 3 4 4 5 5 6 6 6 4 3 3 3 3 3 4 4 4 4 4 3 3 3 4 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 4 4 5 6 9 12 11 9 9 9 9 11 13 14 10 2 2 5 7 8 9 7 5 4 3 3 3 3 4 3 4 7 8 8 8 12 16 18 17 15 14 12 7 2 3 5 3 1 1 5 6 5 7 9 9 7 7 9 11 12 14 12 8 5 4 4 6 6 6 6 5 5 5 6 4 3 3 2 2 4 7 10 12 11 10 10 13 16 13 9 9 9 9 9 7 5 1 -5 7 24 20 20 21 13 5 2 3 2 3 6 6 4 6 9 9 7 4 3 5 6 6 6 6 6 6 6 6 5 5 5 4 3 4 4 5 6 6 6 6 6 7 7 7 5 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 5 5 5 4 4 4 4 3 2 3 4 4 5 4 4 4 4 4 3 3 4 5 5 6 6 5 5 5 5 6 5 5 5 5 5 5 5 4 3 3 2 3 3 3 3 3 2 2 3 4 5 6 7 7 8 8 8 8 7 7 6 6 6 5 4 4 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 5 4 3 3 4 6 7 7 6 6 5 4 3 4 4 6 9 9 6 3 0 -1 0 2 1 1 4 5 5 5 5 4 4 4 5 4 4 4 4 4 4 5 6 7 6 5 5 6 5 5 5 4 3 3 4 5 5 5 5 7 8 8 7 6 5 5 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 6 5 4 4 4 5 6 6 7 7 7 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 3 4 4 3 3 2 2 1 1 1 1 1 2 2 2 3 5 5 5 6 7 7 8 8 7 8 9 10 9 7 6 6 6 6 6 6 6 7 7 8 8 7 7 6 5 5 5 4 4 5 5 5 5 5 6 6 5 5 4 4 4 4 3 3 2 3 4 4 4 4 4 5 5 6 5 4 3 3 3 3 3 4 5 4 3 3 3 3 4 4 4 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 8 11 12 8 6 6 7 10 12 16 15 5 -4 -1 5 7 7 5 4 3 2 3 3 3 3 3 3 4 7 8 8 9 15 18 17 16 14 13 12 9 6 5 5 3 1 2 5 8 7 7 9 7 6 6 7 9 14 16 13 9 6 4 6 7 6 6 7 6 6 6 6 4 2 2 3 4 6 8 10 11 11 11 12 18 20 14 11 13 10 8 8 7 5 0 -5 8 26 26 22 17 4 -6 -2 2 1 5 11 9 5 7 9 7 4 3 4 5 7 7 7 6 5 5 5 5 5 4 4 3 3 3 4 5 5 6 6 7 7 8 8 6 4 3 2 3 4 4 4 4 5 4 4 4 4 5 4 5 5 4 4 4 4 4 5 6 5 4 4 4 3 3 3 3 4 5 5 4 4 4 4 3 3 3 3 4 5 6 6 6 5 6 6 6 6 6 5 5 5 5 4 4 3 2 2 3 3 3 3 3 2 2 2 3 4 5 6 6 6 7 7 7 7 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 4 3 3 3 4 6 7 7 6 5 4 3 3 3 4 6 7 8 9 9 7 4 4 4 1 -0 3 6 6 6 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 6 5 6 6 5 4 3 3 3 3 3 3 4 6 7 7 7 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 5 5 5 5 5 5 6 6 7 8 8 6 5 4 4 5 6 6 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 4 4 3 4 3 2 2 2 2 2 2 3 3 3 2 3 3 3 4 5 6 6 6 6 5 6 7 6 6 5 5 5 6 6 6 6 6 7 8 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 8 7 5 4 4 4 4 4 4 3 4 4 5 4 4 4 5 5 6 6 6 5 4 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 5 5 4 3 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 6 8 11 13 11 8 6 6 8 10 13 18 12 -6 -12 -3 5 6 5 3 2 2 2 3 3 3 3 3 4 5 7 8 8 12 16 17 14 13 13 12 10 9 7 7 5 4 5 5 7 10 10 8 6 3 4 5 5 6 10 13 12 10 7 6 11 14 12 10 9 7 5 5 4 3 1 1 4 6 8 8 9 11 12 10 10 15 17 14 13 13 9 7 8 7 4 4 3 12 26 29 21 11 -4 -11 -2 4 3 9 14 10 7 8 8 6 5 5 4 5 7 7 7 7 5 5 5 4 4 4 4 4 3 3 4 4 5 6 7 7 7 8 7 6 4 3 3 3 4 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 6 5 4 4 3 3 3 3 4 5 5 4 4 4 4 4 4 4 3 3 4 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 3 3 2 2 3 4 4 4 3 2 2 2 3 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 4 3 3 3 3 5 7 7 7 6 4 2 2 3 3 4 5 6 7 10 13 14 12 8 5 3 3 4 7 7 7 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 4 3 3 3 2 2 3 4 6 8 8 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 6 5 5 5 5 5 5 5 6 7 7 7 7 7 6 4 4 5 6 7 8 8 7 7 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 4 3 4 4 4 3 3 3 3 3 3 4 4 4 4 3 2 1 1 2 3 4 4 4 4 3 3 3 2 2 3 3 4 5 6 6 6 6 7 9 11 11 10 9 9 9 10 10 10 10 11 12 12 11 11 10 9 7 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 6 7 6 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 7 10 12 11 9 7 6 6 8 11 15 18 8 -11 -12 0 6 5 4 3 2 2 2 3 4 4 4 4 4 6 7 9 10 13 15 14 13 12 11 11 10 8 5 4 3 7 10 6 3 5 10 10 7 6 5 5 5 4 4 8 11 11 9 8 11 15 15 12 10 9 6 3 2 0 -1 2 6 7 8 9 9 11 12 11 10 10 10 12 12 9 7 7 7 6 4 10 14 20 30 30 19 6 -8 -10 2 8 9 13 14 11 8 8 8 7 7 6 4 5 6 7 7 7 6 5 4 4 4 4 4 4 3 3 4 4 5 5 6 7 8 8 6 5 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 5 4 4 3 3 3 4 5 6 5 5 5 4 3 3 4 4 4 5 5 5 5 6 6 6 6 7 6 5 5 5 5 4 4 4 3 3 2 2 3 4 5 4 3 2 2 3 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 4 5 5 5 5 4 4 3 3 3 5 6 8 7 6 4 2 2 2 3 4 5 6 8 10 13 15 15 9 4 4 4 5 7 8 7 6 5 5 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 6 7 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 8 7 6 5 5 5 6 6 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 3 3 3 4 4 3 3 4 4 4 5 4 5 5 4 4 3 2 2 1 0 0 1 2 2 2 2 2 1 0 -0 1 2 3 4 4 3 4 5 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 11 8 6 6 5 4 3 3 3 4 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 3 4 3 4 3 4 4 4 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 3 4 5 5 6 7 9 9 8 7 7 7 7 8 10 14 14 5 -7 -4 4 5 4 3 2 2 2 3 4 4 4 5 6 7 8 9 11 12 13 13 13 14 12 11 12 9 8 6 2 1 6 11 7 2 2 6 9 7 6 8 7 7 4 2 5 10 11 9 8 8 10 11 9 8 8 5 1 -1 -2 -0 4 6 8 8 10 11 12 13 13 11 10 10 11 9 6 6 7 6 4 2 8 16 24 31 29 16 3 -10 -8 7 15 15 15 13 9 7 8 8 7 7 5 3 4 6 7 8 7 6 5 4 4 4 4 4 4 3 4 4 4 5 5 6 7 7 7 6 5 4 4 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 3 4 4 5 6 6 5 5 5 4 4 3 4 4 5 5 6 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 3 3 3 2 2 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 5 5 5 6 5 5 4 3 3 3 4 5 6 7 6 4 2 2 2 3 5 5 6 7 9 11 14 14 8 2 4 6 6 7 8 8 7 6 6 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 4 3 3 5 6 6 5 4 4 5 5 6 5 5 6 5 4 4 5 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 4 4 3 4 4 4 4 5 4 4 5 5 5 6 6 5 5 5 5 5 5 4 1 -1 -2 -1 -0 2 4 3 2 1 -0 -0 0 1 2 2 2 2 3 3 4 5 5 6 5 5 6 6 6 6 5 4 5 6 7 10 14 17 18 14 10 7 5 4 3 3 4 4 5 6 6 5 5 5 6 6 6 5 5 4 3 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 3 4 4 4 3 4 4 4 4 5 4 4 4 4 4 3 3 4 6 7 6 7 7 7 8 7 7 7 9 10 12 8 1 -2 1 4 4 3 2 2 2 2 3 4 5 5 6 8 10 11 12 14 15 13 12 14 15 11 11 11 6 6 7 4 1 3 6 7 4 3 5 6 5 6 8 9 9 6 4 6 11 11 9 8 7 6 5 5 7 5 2 -0 -3 -3 2 6 7 7 8 10 12 15 17 17 12 9 9 8 6 4 6 7 6 3 0 -0 9 21 29 25 14 4 -7 -4 13 21 18 14 10 7 7 8 9 7 6 6 4 4 6 6 8 7 6 6 4 4 3 4 4 5 4 4 4 4 5 6 6 6 7 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 5 5 5 5 4 3 4 5 5 6 6 5 5 6 5 6 5 5 5 5 5 4 4 4 4 4 3 3 3 2 3 3 4 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 5 4 4 3 3 -1 0 2 1 1 2 3 4 5 5 4 4 3 2 3 4 5 6 7 8 9 11 12 12 7 4 4 6 6 6 8 9 10 9 7 6 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 4 3 4 5 6 5 4 4 4 5 6 6 6 6 6 5 5 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 6 6 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 5 5 4 5 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 6 6 5 2 -0 -1 -0 1 3 4 4 2 1 0 0 0 1 1 2 2 2 1 2 2 3 3 3 3 3 3 3 3 2 2 2 3 4 5 10 16 19 17 12 8 6 5 5 5 5 4 6 6 7 7 6 5 5 6 6 6 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 5 5 5 4 4 4 4 4 6 7 5 4 6 8 9 8 8 8 10 11 9 2 -3 -1 2 2 2 2 3 3 3 3 4 5 5 6 9 13 15 15 15 16 15 13 12 14 14 11 10 8 2 0 5 8 6 5 4 5 5 6 8 8 6 4 4 6 6 4 5 9 11 9 10 8 6 6 4 6 6 3 -0 -2 -4 -2 4 8 7 7 8 10 12 15 17 12 5 5 10 10 5 3 5 5 3 3 -0 -3 6 19 28 25 15 5 -3 1 17 23 18 11 7 6 7 8 7 7 7 8 6 4 5 6 8 8 6 6 6 5 4 3 4 4 4 5 5 5 5 6 6 6 5 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 5 5 5 4 4 5 5 5 6 5 5 6 6 5 5 4 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 2 2 4 4 4 4 4 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 4 2 -0 -4 -12 -18 -8 2 1 1 2 1 2 3 3 3 2 2 3 5 6 7 6 6 7 8 10 11 10 9 6 7 7 6 6 7 9 11 11 9 8 6 6 5 5 4 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 5 7 7 6 4 4 5 5 5 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 7 6 5 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 8 7 6 6 5 5 5 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 7 7 6 4 2 2 2 2 3 4 3 3 2 1 1 1 1 2 3 3 2 1 2 2 2 2 2 2 2 2 3 2 2 2 2 2 3 5 9 13 13 10 7 6 6 6 6 6 6 6 7 7 8 7 6 6 6 6 7 6 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 5 7 6 5 2 5 9 9 9 9 10 11 12 5 -5 -5 -0 1 1 2 3 4 4 5 5 5 5 6 8 14 19 19 16 15 13 11 12 12 14 13 10 8 5 3 5 8 9 9 5 4 5 7 7 8 8 5 5 6 4 1 -0 1 5 5 7 9 8 6 5 5 7 4 -0 -3 -4 -3 2 7 9 7 7 9 10 9 10 9 -3 -14 -3 14 15 4 3 7 3 -3 -4 -1 3 10 19 27 26 17 6 -1 5 19 23 16 9 5 5 7 7 6 7 8 6 3 3 4 6 8 8 7 6 6 6 5 3 3 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 6 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 4 5 6 6 5 5 6 5 5 4 4 5 5 5 5 4 4 4 3 4 3 3 2 2 3 4 4 5 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 3 1 -3 -9 -20 -21 -9 2 5 4 3 2 3 4 3 2 2 2 4 6 7 7 7 7 6 7 8 7 7 7 7 9 9 7 5 6 8 9 10 9 8 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 8 7 5 4 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 9 8 7 7 7 6 6 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 7 7 7 6 5 4 2 2 2 3 4 4 4 3 2 1 2 3 4 4 3 2 2 3 2 2 2 1 1 2 2 2 2 1 2 2 3 3 4 6 7 6 5 5 5 6 6 6 7 6 7 8 8 8 7 6 5 6 6 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 4 4 4 4 5 5 5 4 4 4 5 6 7 5 3 2 6 11 10 10 11 11 13 13 2 -8 -4 -0 0 2 3 4 5 5 5 5 5 6 7 13 20 21 16 12 11 9 9 11 14 13 11 9 7 5 7 7 8 10 12 6 3 4 6 7 7 7 4 5 10 9 3 1 -1 0 1 5 6 4 3 3 5 7 2 -3 -6 -5 1 7 10 9 6 5 6 6 6 6 2 -6 -13 -6 9 11 1 0 7 3 -7 -5 4 12 14 20 27 26 18 6 0 8 19 20 13 7 5 6 7 7 6 7 7 3 2 1 3 5 7 7 7 7 7 6 5 4 4 4 5 5 6 6 6 6 6 6 5 5 5 4 5 5 5 6 5 5 6 5 5 5 5 5 5 5 5 4 5 5 5 6 6 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 4 4 4 3 3 4 4 4 5 4 5 5 5 5 5 5 4 4 3 1 -3 -8 -5 -0 4 6 6 4 3 5 6 5 4 4 4 5 5 6 7 7 7 6 6 6 4 3 4 6 9 8 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 5 5 5 5 5 6 7 7 7 5 5 5 6 4 3 4 5 5 6 5 6 6 6 6 6 5 5 6 5 5 5 5 5 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 8 8 8 8 7 7 7 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 5 5 4 3 2 2 3 5 5 5 4 2 1 2 3 5 6 5 5 4 2 1 0 0 0 1 1 1 0 1 1 1 2 3 3 3 3 3 4 4 5 5 6 6 6 7 7 8 9 9 8 6 5 6 6 7 6 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 6 6 7 6 5 5 5 5 5 5 6 5 4 3 3 6 7 6 4 2 2 7 11 11 12 13 14 16 11 -2 -6 -3 -1 1 3 4 5 5 6 6 5 6 6 11 18 20 16 11 8 8 8 10 14 15 13 10 7 6 9 7 -0 2 10 10 6 2 3 5 6 7 7 3 3 8 11 8 5 2 0 2 4 3 0 -1 2 5 4 -1 -6 -6 -1 5 11 12 9 3 -1 0 4 8 8 5 3 2 1 4 4 -3 -3 4 6 8 12 15 17 18 22 26 24 16 6 3 11 19 17 11 6 5 6 6 6 6 8 7 4 3 2 3 4 6 7 7 7 7 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 5 5 5 5 4 4 5 5 5 5 6 5 5 4 4 5 5 4 4 5 5 5 5 4 5 5 4 4 4 4 4 3 4 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 4 3 4 4 4 3 3 3 3 4 4 3 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 5 5 6 5 4 4 4 4 4 6 8 6 6 6 6 5 2 1 3 5 5 5 5 5 4 4 5 6 7 7 6 5 3 2 3 6 7 7 5 4 4 4 3 3 4 4 4 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 7 8 7 5 5 6 6 5 4 4 4 5 6 6 5 6 6 6 6 6 5 5 5 5 5 6 5 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 7 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 6 7 7 7 7 7 6 7 6 5 5 5 5 5 5 5 5 6 7 8 8 7 7 7 6 6 6 6 5 4 3 3 5 6 7 6 4 2 2 4 8 11 12 9 6 4 2 1 1 1 1 1 1 0 0 0 1 2 2 2 3 3 3 3 4 4 5 5 5 5 6 7 8 9 10 9 7 6 6 6 7 6 6 5 4 4 4 4 5 5 5 5 4 4 3 3 3 4 5 6 7 7 7 6 6 6 6 6 5 6 5 4 4 5 7 7 5 3 1 3 7 11 13 13 14 17 16 5 -6 -5 -3 0 2 3 4 5 5 5 5 5 6 10 16 19 15 10 8 8 9 10 14 16 14 12 9 7 8 11 7 -2 -1 7 5 2 1 3 6 5 6 8 6 4 5 6 7 6 4 3 3 4 2 -0 -0 6 8 1 -4 -6 -2 3 8 11 12 8 2 -2 -0 4 10 13 11 10 11 12 10 1 -5 -2 4 12 21 24 20 18 21 25 25 21 14 6 5 13 18 15 9 6 5 6 5 4 6 9 7 5 4 3 3 4 5 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 6 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 4 5 4 4 4 5 5 5 5 4 5 5 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 4 5 5 6 6 6 5 3 3 5 8 13 9 6 6 7 6 5 3 1 -2 2 5 4 4 5 4 4 4 5 6 7 7 5 3 3 4 6 6 5 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 6 7 6 6 6 7 7 6 4 5 5 5 5 5 5 6 6 5 6 6 5 5 6 5 5 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 8 8 7 7 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 3 3 4 4 4 5 6 6 5 4 5 5 5 4 4 4 4 5 6 7 7 7 7 7 6 7 7 7 6 6 5 5 5 6 8 8 7 5 3 4 11 17 16 11 7 4 4 3 3 3 3 3 3 3 2 1 1 1 2 2 2 2 3 3 3 3 4 4 4 5 6 6 7 8 9 8 7 7 6 6 6 7 7 6 5 4 4 5 4 4 4 4 4 4 3 3 3 3 4 5 6 7 7 7 6 6 6 6 5 6 5 4 5 8 9 7 4 2 2 4 8 13 14 13 15 16 9 -1 -6 -5 -2 1 2 3 5 5 5 6 5 5 7 12 16 15 10 8 8 10 12 16 18 14 11 10 6 5 10 13 7 1 3 8 4 0 1 3 6 7 9 10 9 7 4 3 2 3 4 4 4 4 3 2 3 7 8 0 -3 -2 3 7 8 10 10 8 5 3 5 8 12 14 14 14 17 21 16 5 0 4 7 12 16 18 17 17 18 20 20 18 12 7 8 14 16 13 8 6 7 6 3 3 7 9 6 4 5 6 5 5 4 5 7 7 7 7 7 7 7 6 6 5 5 5 5 5 4 5 5 5 5 6 5 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 3 3 2 3 4 4 5 5 5 4 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 5 4 4 4 3 4 5 5 5 6 6 5 2 -0 2 7 11 12 7 5 6 6 6 5 5 3 2 5 5 5 4 4 5 5 5 5 5 5 6 5 3 3 5 8 9 7 4 4 1 0 2 4 4 4 4 5 5 4 4 4 5 5 6 6 6 6 6 6 6 5 6 6 7 7 7 7 6 5 6 7 6 5 6 7 7 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 6 5 6 6 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 1 1 2 2 2 3 4 5 5 5 6 6 7 6 5 5 5 5 4 4 5 6 6 5 5 5 6 7 7 7 7 7 6 6 7 8 9 8 7 5 6 13 16 12 6 3 3 4 4 4 4 4 4 4 4 4 3 3 2 1 1 1 1 2 2 2 2 2 3 3 4 4 5 6 7 7 8 8 6 5 5 6 7 7 7 6 6 5 5 4 4 4 3 4 4 4 3 3 3 4 4 6 7 7 7 6 5 5 5 6 6 6 7 8 10 8 5 2 2 4 8 12 14 14 13 13 10 -1 -6 -4 -4 0 2 2 4 5 5 6 6 6 6 8 12 12 10 8 7 8 12 17 21 19 12 9 9 4 1 6 8 5 5 7 8 5 2 2 4 5 7 13 12 9 7 5 3 1 1 3 5 5 5 5 4 7 5 0 -2 -1 3 6 8 8 9 9 7 5 8 12 13 11 10 11 12 14 17 15 10 5 6 7 10 14 16 15 11 7 8 14 16 10 7 10 14 15 12 7 6 6 4 2 4 8 9 5 3 4 8 8 6 4 4 6 7 8 8 8 7 7 7 6 5 5 5 5 4 4 5 5 5 6 5 5 6 6 5 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 2 2 2 4 5 5 4 4 4 4 5 5 5 5 5 5 4 1 -4 -8 -2 7 9 7 6 6 6 7 7 6 6 4 4 7 7 6 5 6 6 6 6 5 5 5 6 4 2 2 6 10 12 10 8 7 5 4 4 5 5 5 5 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 6 6 7 8 7 6 5 5 6 6 6 5 6 6 7 6 6 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 8 8 8 7 7 8 8 8 8 9 9 9 8 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 5 6 6 5 6 7 9 9 10 10 10 9 9 7 5 4 6 6 5 4 5 6 6 7 7 7 7 8 8 7 7 7 8 9 8 7 8 11 11 4 -1 -1 1 3 4 3 3 3 4 4 5 5 5 5 4 3 2 2 2 2 2 1 2 2 2 2 3 3 4 5 5 6 7 7 6 5 5 5 6 7 8 7 7 6 5 5 4 4 3 3 3 3 4 3 4 4 4 5 6 7 7 6 6 5 5 5 6 8 9 11 10 6 3 2 4 8 14 17 16 14 12 10 2 -10 -11 -4 -1 1 2 3 5 6 6 6 6 6 6 7 10 10 8 8 8 10 13 16 20 17 9 7 9 4 1 3 5 4 2 3 6 6 5 4 4 5 7 13 12 10 11 8 6 3 2 3 4 5 6 7 8 7 1 -4 -1 2 6 8 8 10 11 12 8 4 9 15 15 9 4 4 6 9 6 5 5 5 5 6 10 18 21 15 3 -4 1 15 19 11 8 10 13 14 11 7 5 5 4 3 5 8 8 5 3 4 8 11 8 4 3 5 7 8 8 8 8 7 6 6 6 6 5 5 5 5 5 5 6 6 5 5 6 6 6 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 5 4 4 4 4 3 3 3 3 3 4 5 5 6 6 6 5 5 5 5 5 5 5 4 4 3 4 3 3 4 4 4 4 4 4 4 4 3 3 3 2 3 2 2 2 2 1 2 3 4 5 5 4 4 5 5 5 5 5 5 4 3 2 -2 -7 -9 -5 3 6 7 7 6 7 7 7 7 7 6 2 2 6 7 7 7 7 7 6 6 5 6 6 4 1 2 4 8 11 11 11 11 12 11 8 5 5 5 5 4 4 3 4 5 5 5 6 6 6 5 5 4 5 6 6 6 7 8 8 7 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 7 8 8 8 8 7 8 10 9 9 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 11 11 10 9 9 10 9 8 7 8 9 11 12 13 13 12 12 12 12 11 9 8 8 6 6 8 9 8 7 7 7 7 8 8 8 7 7 7 8 8 7 8 9 6 1 -2 0 2 3 3 2 2 3 3 4 5 5 6 6 6 5 4 3 3 3 2 3 3 3 3 3 3 3 4 4 4 5 6 7 6 5 5 5 5 6 7 8 7 6 6 6 5 3 2 2 3 3 4 4 4 4 4 5 5 6 5 6 6 5 5 5 6 9 11 11 7 4 3 5 8 13 19 21 17 13 10 6 -5 -14 -11 -3 1 1 2 4 6 6 6 6 6 5 5 6 8 9 9 10 11 12 12 12 13 12 8 9 9 6 4 6 6 2 2 4 5 6 6 6 6 6 7 8 10 12 13 10 8 5 3 4 6 8 9 10 9 4 -2 -3 2 4 6 8 7 8 13 17 10 3 6 12 11 6 2 3 6 7 -1 -3 1 6 7 6 11 20 21 12 1 -2 9 24 22 12 8 10 12 12 10 8 5 5 3 4 7 8 6 5 5 6 9 13 10 3 3 5 7 8 9 9 8 7 6 6 6 6 5 4 5 5 5 6 6 5 5 6 6 6 6 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 5 6 6 5 5 5 4 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 2 3 2 3 3 2 2 1 1 2 3 4 5 5 5 5 4 4 5 5 5 4 3 2 1 -1 -3 -3 -0 5 7 6 6 7 7 7 8 7 7 7 6 5 7 7 7 7 7 7 6 6 6 7 6 4 2 2 4 6 6 8 10 11 11 8 4 5 5 4 4 4 4 4 5 5 6 5 5 5 5 5 4 4 5 5 6 6 7 8 8 7 5 5 6 7 7 6 5 5 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 7 8 8 7 8 9 9 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 16 13 11 11 11 11 9 8 8 8 9 10 11 11 10 10 11 13 16 16 14 12 10 9 10 12 13 10 8 7 8 7 7 6 6 7 7 7 7 7 7 7 7 5 2 1 3 4 4 3 2 3 3 4 5 6 7 7 7 7 7 7 6 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 6 7 6 5 4 5 6 7 7 7 6 6 5 5 4 2 2 3 3 3 4 4 4 4 4 5 5 5 6 6 6 5 5 7 10 11 9 5 3 4 7 11 15 20 23 20 16 11 2 -9 -13 -8 -2 1 2 3 5 6 6 6 5 5 5 5 6 8 10 12 13 13 14 13 10 8 9 8 9 8 5 3 6 4 1 3 5 7 7 7 6 6 7 8 6 9 10 10 10 9 7 5 6 9 12 12 11 7 1 -2 1 4 4 5 5 4 5 14 19 9 0 2 6 7 5 3 7 14 9 -6 -6 5 11 10 6 10 17 22 15 9 12 26 32 23 12 9 11 11 11 10 8 6 4 4 5 8 7 6 5 6 8 10 12 8 2 3 5 7 8 9 9 8 7 6 6 6 5 5 4 5 5 5 6 5 4 5 7 7 6 5 5 4 5 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 3 3 3 3 3 4 5 4 4 4 6 7 6 6 5 5 4 4 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 2 3 3 3 3 1 1 1 2 3 4 5 5 4 4 4 4 4 5 5 4 4 3 3 2 4 5 5 6 6 7 7 8 8 8 8 8 8 7 7 7 8 7 7 6 6 5 4 4 5 6 5 5 3 3 3 4 4 5 7 9 9 6 1 4 6 5 4 4 4 5 5 5 6 5 5 5 4 5 5 4 4 5 6 7 7 7 7 7 6 5 6 7 7 7 7 7 6 6 6 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 8 8 7 7 8 9 8 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 10 9 8 9 9 8 7 7 7 7 7 7 7 6 5 5 7 10 12 14 13 12 10 11 12 14 14 11 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 6 4 3 4 5 5 5 4 4 4 6 7 8 8 7 7 8 9 9 8 7 6 6 6 7 8 8 8 7 5 5 4 5 4 4 6 8 7 5 5 5 5 6 7 6 5 5 6 5 4 4 3 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 6 9 12 11 6 2 2 5 9 12 15 17 22 25 21 11 -2 -11 -11 -4 -1 1 2 4 6 6 5 5 5 5 5 7 9 12 15 16 14 13 15 14 11 8 7 7 8 8 4 4 5 5 5 4 5 7 7 7 7 7 8 8 8 9 8 7 9 9 8 7 9 11 11 11 8 4 0 0 3 4 3 3 2 2 4 16 15 2 -2 1 4 5 4 4 8 13 7 -6 -3 8 11 8 6 10 15 19 19 18 25 34 32 21 12 9 11 11 11 10 8 7 5 4 6 7 6 5 5 6 9 12 11 5 1 3 6 7 8 8 9 8 7 6 6 6 5 4 4 5 5 5 5 5 4 5 7 7 6 5 5 4 5 5 5 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 4 5 5 5 5 5 6 8 7 7 6 5 4 5 4 4 4 5 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 2 3 3 2 1 1 0 1 2 4 5 5 4 3 4 4 4 4 4 5 5 4 3 6 10 10 6 5 6 7 7 8 9 9 10 10 9 7 5 4 6 8 7 6 5 5 5 3 2 1 1 2 1 0 1 3 5 5 5 6 7 9 6 3 6 7 6 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 6 7 7 6 7 7 6 6 6 6 6 7 9 9 8 6 6 6 6 6 6 6 5 4 5 5 5 5 6 5 5 6 5 5 5 5 6 6 6 7 7 7 8 9 8 8 8 7 6 7 7 8 9 8 8 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 6 8 8 8 7 8 8 10 11 10 8 7 7 8 7 6 7 7 7 8 7 7 7 8 9 10 8 5 5 7 7 7 5 5 6 8 9 8 7 7 7 8 9 9 8 7 6 7 8 8 9 10 10 9 8 6 6 6 5 5 6 8 9 7 5 5 5 6 5 5 5 5 6 5 4 4 3 2 2 3 3 3 4 4 4 4 4 4 4 4 5 6 8 13 14 10 1 -2 2 6 10 16 19 17 21 26 18 4 -8 -13 -7 -1 -0 0 2 5 6 6 5 5 5 5 6 11 15 18 18 17 13 13 14 14 12 8 6 7 8 8 7 10 10 8 6 5 8 7 6 6 6 6 6 7 8 8 6 6 7 8 9 10 11 9 8 8 5 2 2 3 4 3 1 -1 -0 2 6 14 8 -3 -2 5 8 6 4 4 7 6 -0 -5 2 10 5 1 8 14 17 13 12 16 25 31 26 17 11 10 10 12 11 10 8 7 6 5 6 6 5 4 4 5 10 13 10 4 1 4 6 7 8 8 9 8 7 6 5 5 5 4 4 4 5 5 5 4 5 6 7 7 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 3 3 3 2 2 3 4 5 5 5 5 6 7 8 8 7 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 3 3 3 2 2 2 3 2 1 1 0 1 2 3 4 5 5 4 3 3 3 4 4 4 3 1 -1 3 11 9 5 5 6 7 7 7 8 8 9 10 9 8 6 4 5 7 7 6 5 6 7 7 5 3 2 1 -1 -2 -2 -2 1 5 6 6 5 7 9 6 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 6 6 6 6 6 5 4 5 7 9 11 10 9 8 8 9 10 10 9 7 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 9 8 8 8 7 6 6 6 7 8 8 8 8 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 6 6 6 6 6 5 5 6 7 7 7 6 5 5 4 4 4 4 3 2 3 4 6 7 8 9 8 9 9 9 10 10 9 7 7 7 7 7 9 12 12 10 7 8 8 8 6 5 4 6 8 9 8 6 6 7 8 9 8 7 6 6 7 8 9 10 11 11 11 9 8 7 7 6 6 6 8 9 8 6 5 5 5 6 6 5 5 5 5 4 3 2 2 2 2 3 3 4 4 4 4 4 5 4 4 6 8 11 15 13 5 -4 -2 4 7 12 22 27 23 21 18 7 -4 -9 -11 -5 -1 -1 1 3 5 6 6 5 5 5 6 12 19 21 19 16 14 14 14 13 14 13 9 6 6 7 5 5 11 15 11 8 6 6 4 2 0 2 2 3 3 4 5 5 6 8 11 12 13 11 8 6 5 2 1 3 4 4 1 -2 -4 -2 2 6 9 3 -3 2 10 11 6 4 6 7 5 -0 -3 7 12 1 -1 11 18 17 12 11 14 21 24 20 14 11 10 10 11 11 9 8 6 6 6 7 6 5 4 3 4 9 12 8 3 2 5 6 7 8 8 8 8 7 5 5 5 4 4 4 4 4 5 5 5 5 6 7 6 5 5 5 6 6 5 4 4 5 6 6 6 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 3 2 2 2 2 3 4 5 6 6 6 6 7 8 8 7 7 6 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 2 2 3 3 2 1 1 0 1 1 3 4 6 5 3 3 3 3 4 3 2 1 -2 -3 -1 6 7 5 5 5 7 7 6 4 4 6 9 9 9 9 8 7 6 5 6 6 7 7 8 11 12 11 9 7 5 3 1 2 5 7 7 7 6 6 6 5 5 6 5 5 4 3 3 4 4 5 5 6 5 5 5 5 5 6 7 7 6 6 5 6 6 5 4 4 6 9 11 12 12 10 10 11 13 14 13 11 9 7 7 7 8 9 9 9 9 9 8 8 8 8 7 8 8 7 7 8 8 8 8 8 7 7 6 5 6 7 8 8 8 8 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 10 10 11 14 16 18 16 15 12 9 9 18 30 21 7 -0 -1 2 5 8 9 11 13 14 13 13 13 14 15 16 16 15 13 12 12 12 11 10 9 8 8 9 11 12 13 14 15 15 16 17 17 17 16 15 14 13 13 13 13 14 14 14 14 17 19 20 19 18 18 17 16 13 10 10 10 11 12 13 13 14 14 14 14 14 14 13 13 13 12 11 11 12 11 11 12 13 12 12 12 11 11 11 11 12 13 12 12 12 12 12 11 11 11 10 10 11 14 16 18 17 16 15 13 12 13 13 13 14 16 16 14 12 11 9 9 11 12 12 13 11 8 6 7 10 11 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 10 10 11 11 10 10 10 10 10 11 10 10 10 10 11 12 12 11 11 10 10 10 10 10 10 10 10 11 10 10 9 9 10 12 12 11 11 11 11 12 12 12 11 11 11 11 10 10 11 12 12 12 11 10 10 10 10 12 12 11 11 11 11 12 13 13 12 11 11 11 12 11 10 7 7 10 14 15 13 12 11 11 11 11 11 11 11 12 12 11 11 11 11 12 13 13 12 12 11 11 12 12 12 11 11 10 10 11 11 11 11 10 10 11 11 10 10 11 12 11 11 12 11 11 12 12 12 12 11 9 9 10 8 10 12 13 13 13 13 13 13 12 12 12 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 14 14 14 13 13 12 12 13 13 13 13 13 13 13 14 14 13 13 14 13 12 12 11 10 9 10 12 12 13 14 14 15 14 15 15 15 16 16 15 12 9 11 13 15 14 13 12 11 11 10 10 10 11 11 13 16 19 21 19 15 14 14 14 13 12 11 12 12 11 11 11 11 11 11 12 12 13 13 12 12 12 12 12 13 13 13 12 13 14 14 13 13 13 13 13 13 15 18 18 17 14 13 13 13 12 12 13 15 14 12 11 10 10 13 14 14 15 15 15 14 14 13 13 13 14 14 13 14 14 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 11 11 13 24 28 17 2 -3 1 11 13 8 10 11 13 14 14 13 15 15 16 15 15 14 13 13 13 12 9 8 8 9 10 12 14 15 16 16 14 13 13 15 16 16 15 14 14 14 13 13 12 12 13 13 14 15 17 18 18 18 19 19 17 14 11 11 11 11 12 13 14 14 15 15 15 14 14 14 13 12 11 10 9 9 10 10 11 12 13 13 12 12 12 13 13 13 13 13 13 12 13 13 13 13 13 13 13 15 18 20 21 19 17 15 14 13 12 13 13 14 17 16 12 10 9 10 11 12 12 12 13 11 8 7 8 10 11 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 10 10 10 11 11 11 11 11 10 10 11 12 11 11 11 11 11 10 11 11 10 11 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 11 12 12 12 11 9 9 9 10 12 12 12 11 9 7 11 15 13 11 11 11 12 13 12 8 6 8 11 13 13 13 12 12 11 11 11 11 11 11 12 12 12 11 11 11 12 12 13 12 12 11 12 13 12 12 12 11 11 11 11 11 11 11 12 11 10 11 11 11 11 12 12 11 11 11 11 11 11 10 9 7 7 10 13 13 13 13 13 12 12 13 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 14 13 13 13 12 13 13 13 14 14 13 14 14 14 14 14 14 14 12 11 9 8 9 10 11 13 13 13 14 14 14 14 15 15 15 16 16 16 15 14 14 15 14 13 12 12 12 12 11 11 11 11 11 11 12 12 13 12 12 12 12 13 13 13 13 13 12 12 11 11 11 12 12 12 13 13 13 13 12 12 13 13 13 13 14 14 14 13 13 13 13 13 12 13 15 17 18 17 14 13 12 13 13 13 13 15 14 12 12 11 11 12 13 14 14 15 14 13 13 13 13 13 13 13 13 13 14 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 -1 -1 8 8 8 10 12 13 14 14 13 12 13 14 14 13 13 12 12 11 9 7 7 7 9 12 15 16 15 15 13 12 11 11 12 13 13 11 12 14 15 15 14 14 13 12 13 15 17 18 18 18 19 19 19 17 15 13 11 12 12 12 12 12 12 13 13 14 14 13 13 11 10 10 10 10 10 9 11 12 13 15 15 14 14 14 14 14 14 14 13 12 12 12 13 13 14 15 16 16 18 20 21 20 19 17 15 14 13 13 12 13 14 15 13 11 10 10 11 13 13 12 11 10 10 10 9 10 10 12 12 11 11 10 10 10 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 11 10 11 11 11 10 10 10 10 11 11 10 11 11 11 12 11 11 11 11 11 11 11 12 12 11 9 9 9 10 11 12 12 11 9 7 9 13 13 11 11 10 11 13 15 13 10 8 8 10 11 12 13 13 13 12 11 11 12 11 10 12 12 11 10 11 11 12 13 13 13 12 13 13 13 13 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 12 12 11 11 12 11 11 9 8 9 9 10 12 13 13 13 13 12 12 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 12 11 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 13 13 13 14 13 13 13 14 13 13 13 13 13 14 13 13 14 14 14 14 14 14 13 13 12 12 12 12 13 13 13 14 14 14 14 14 15 14 14 14 15 15 16 16 15 15 14 13 13 13 13 13 12 12 12 12 11 10 10 10 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 13 13 13 14 13 13 12 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 14 15 16 17 14 12 12 12 12 13 14 14 15 14 12 11 12 13 12 13 14 14 14 13 13 13 13 13 13 13 13 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 14 14 14 14 14 14 15 14 14 12 9 7 6 5 6 8 9 11 14 16 16 14 12 11 9 9 9 9 10 9 10 11 12 13 13 14 14 14 15 16 18 20 20 21 21 20 18 17 14 13 12 11 11 11 11 11 12 11 12 13 14 13 12 11 9 9 9 9 10 12 14 17 20 20 18 17 16 14 14 14 14 14 14 14 13 13 13 13 13 14 15 16 17 18 17 17 17 16 16 15 14 13 13 13 12 12 12 12 11 11 12 12 12 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 11 12 11 11 11 11 10 11 11 10 10 10 11 11 10 10 10 10 10 10 10 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 11 11 11 11 11 11 11 10 10 11 11 10 11 10 10 11 12 12 11 12 12 12 12 12 11 10 10 10 9 9 9 10 11 12 11 10 9 9 10 11 11 11 10 10 11 13 14 13 11 9 9 10 10 12 12 12 13 11 10 11 11 11 13 12 11 11 10 11 12 12 12 13 13 13 13 13 14 13 13 13 12 11 10 10 10 11 11 12 11 11 11 12 12 12 12 12 11 10 10 10 9 11 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 14 14 14 13 13 13 14 14 14 14 14 13 13 13 14 14 13 13 13 13 13 14 14 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 14 15 17 17 16 14 13 13 12 12 13 13 13 13 13 12 12 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 14 14 14 14 13 13 13 14 13 13 13 12 13 13 13 13 12 13 12 12 14 15 15 15 14 13 13 12 12 12 13 14 15 15 13 11 11 12 12 13 13 14 14 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 12 9 6 5 7 9 11 13 14 14 15 15 14 13 12 12 10 9 7 7 8 9 9 10 11 13 15 16 18 18 17 17 18 21 24 23 21 18 15 13 11 11 11 11 10 10 10 9 10 12 13 14 13 13 11 10 10 10 11 13 16 20 22 24 24 20 17 15 15 14 14 14 14 14 14 13 13 13 13 13 14 14 15 14 13 12 13 14 14 14 14 14 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 11 12 12 12 12 11 10 11 11 11 10 10 10 11 11 11 11 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 9 8 8 9 12 12 11 12 12 12 12 12 12 10 10 9 9 9 10 10 10 11 11 10 9 9 10 10 11 11 11 10 10 12 12 11 11 10 9 9 9 10 11 11 12 12 11 11 12 12 12 13 13 12 11 11 11 12 12 12 12 12 13 13 14 14 14 13 13 12 11 10 10 11 12 12 12 12 12 12 12 12 12 12 11 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 13 13 14 14 14 14 13 13 14 13 13 13 13 13 13 13 13 13 15 14 13 13 13 14 14 14 15 14 14 14 14 14 14 14 14 14 14 15 15 15 14 15 16 17 18 17 16 15 12 12 12 12 12 13 13 13 12 12 11 11 12 12 12 12 13 13 13 13 13 12 12 12 13 14 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 14 13 11 11 12 13 14 14 12 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
nan nan nan nan nan nan nan nan 8 6 4 3 2 1 1 2 3 2 0 0 2 4 7 11 13 14 14 12 11 12 15 20 28 35 34 30 24 20 20 19 18 8 1 0 0 0 0 0 0 0 1 2 4 5 6 6 6 6 6 5 4 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 2 2 2 2 2 3 3 4 4 3 3 3 3 3 3 3 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 30 46 51 49 39 38 38 33 28 26 32 41 54 70 78 80 84 95 111 119 108 89 81 86 89 87 83 76 69 64 60 57 53 50 46 41 37 31 24 18 10 4 1 0 0 0 0 0 0 0 3 9 16 20 20 20 20 19 19 20 20 16 14 14 14 15 17 23 27 34 41 41 35 41 51 57 57 57 50 49 48 54 67 67 78 85 77 63 65 70 77 74 69 72 77 78 82 86 97 107 111 112 108 102 93 83 78 83 72 50 49 76 107 122 126 122 116 111 108 105 101 101 105 106 106 106 111 114 113 113 113 115 118 125 123 120 129 136 131 123 120 116 110 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 5 4 4 2 2 2 3 3 3 1 0 2 3 4 5 6 9 10 9 7 7 8 10 17 26 30 29 26 24 23 22 20 12 3 0 0 0 0 0 0 0 0 0 1 2 4 6 6 6 6 6 6 5 4 3 2 3 3 3 3 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 2 2 2 3 3 3 3 3 2 2 2 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 0 0 0 0 0 0 0 0 0 0 1 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 2 2 1 9 24 41 47 47 44 36 28 21 15 14 21 30 40 54 70 78 76 75 83 100 113 110 90 73 71 76 79 78 73 68 62 58 55 51 46 41 35 29 24 18 12 4 0 0 0 0 0 0 1 2 1 1 3 8 13 20 21 21 21 22 22 21 19 16 14 11 5 3 6 8 14 23 28 22 20 28 53 61 64 41 37 30 34 71 68 88 96 85 60 54 57 59 55 49 44 45 52 70 79 94 109 112 110 108 106 105 104 105 106 93 78 85 108 123 126 126 126 125 121 119 114 109 108 109 112 116 117 119 120 118 117 119 126 126 126 119 111 114 124 124 121 122 123 118 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 6 6 6 5 4 3 3 3 4 4 3 2 2 2 2 3 3 5 8 8 6 5 5 4 6 13 24 28 30 30 30 27 22 16 6 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 6 6 6 5 5 5 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 2 3 3 3 2 2 3 4 2 2 1 0 0 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 11 18 33 42 42 40 38 32 21 9 4 6 15 28 40 54 70 75 70 67 72 84 98 103 94 74 61 60 66 67 64 59 54 50 47 43 38 33 27 21 14 9 4 0 0 0 0 0 0 1 3 4 3 2 3 4 5 8 16 18 20 19 19 18 17 12 6 0 0 0 0 0 2 5 10 17 16 20 40 58 69 64 77 64 50 82 91 102 104 92 82 72 61 49 41 35 29 20 30 58 78 94 112 117 109 104 102 102 104 107 107 104 101 104 112 116 117 119 122 122 122 122 122 120 118 116 113 111 113 117 118 118 118 122 128 131 130 126 120 115 116 116 118 118 117 114 111 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 7 7 7 6 5 4 4 4 5 5 5 4 3 2 1 1 2 3 4 6 5 4 2 2 2 6 13 21 26 30 33 29 23 17 8 2 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 5 5 5 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 2 2 2 3 3 1 0 0 0 0 1 2 2 3 3 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 16 20 28 35 38 38 36 33 28 19 9 3 4 11 22 36 52 68 70 64 59 63 71 80 90 94 84 65 50 45 46 46 43 39 36 34 31 28 24 20 13 6 3 1 0 0 0 0 0 0 0 2 4 4 4 4 4 4 4 4 10 13 10 11 9 5 2 0 0 0 0 0 0 0 0 2 5 10 17 28 45 63 78 92 96 94 93 91 88 86 88 93 88 74 57 36 18 11 18 50 80 97 106 117 118 109 102 99 96 97 101 104 104 102 103 104 107 110 110 113 116 117 119 121 123 122 120 116 112 110 113 116 117 117 118 120 123 129 135 139 137 128 120 115 114 115 116 116 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 6 6 6 6 5 4 4 5 5 6 7 6 4 2 1 0 0 1 2 4 4 3 1 0 0 1 5 10 15 20 24 24 20 16 11 5 1 1 2 1 0 0 0 0 0 0 0 1 1 1 2 2 3 3 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 2 2 3 3 2 2 3 3 2 0 0 0 0 0 0 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 17 26 25 27 32 35 33 28 24 20 13 8 7 9 17 31 48 61 63 57 54 57 61 65 73 84 90 82 63 46 36 32 28 26 26 26 24 21 16 8 3 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 7 18 34 50 61 68 73 74 74 72 68 65 74 88 87 92 92 58 12 8 41 88 113 114 113 114 107 105 101 101 97 96 98 102 103 102 99 100 102 104 106 108 111 113 115 118 120 121 122 122 121 119 118 120 120 116 107 101 105 116 129 142 153 151 137 125 120 119 120 120 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 3 4 5 5 4 4 3 4 5 6 8 8 6 4 2 1 0 0 0 2 2 1 0 0 0 0 1 2 4 8 11 15 16 15 14 10 7 6 8 7 5 2 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 4 4 3 2 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 3 3 3 3 3 2 2 2 3 2 1 0 0 0 0 0 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 18 22 22 11 17 26 30 29 24 19 15 12 9 9 10 16 28 45 57 57 52 51 54 56 56 59 70 84 91 86 71 53 39 32 28 29 31 29 23 13 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 24 39 48 55 59 60 59 61 62 60 70 85 83 103 121 95 53 41 82 120 130 125 120 114 107 102 99 98 98 99 101 101 101 100 98 98 99 102 104 105 105 106 109 114 119 121 123 124 125 124 124 126 126 122 112 101 97 101 112 128 145 155 147 135 128 121 119 116 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 1 2 3 4 4 3 2 2 4 5 7 7 7 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 1 3 6 10 13 14 14 13 11 12 13 14 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 3 2 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 1 3 3 3 3 3 2 2 3 3 1 0 0 0 0 0 1 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 17 17 23 27 28 26 20 10 5 5 6 9 12 18 29 44 53 53 50 49 52 54 52 53 57 64 73 81 83 78 66 54 44 42 44 42 34 18 10 7 2 1 1 0 0 4 6 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 25 37 44 50 54 56 59 66 68 76 93 90 113 131 120 111 110 134 143 140 138 137 128 118 113 104 97 92 94 102 106 102 97 93 92 94 97 100 100 99 99 102 109 118 124 127 127 126 125 126 127 128 127 124 117 105 98 99 111 128 142 140 131 121 114 110 109 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 0 1 2 1 1 0 1 2 4 5 6 6 6 7 7 6 2 0 0 0 0 0 0 0 0 0 0 1 2 4 6 10 12 12 12 12 13 15 16 15 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 4 2 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 1 0 1 3 3 3 3 3 2 2 3 2 1 0 0 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 21 25 25 20 12 4 0 1 1 5 12 18 29 42 50 49 46 46 48 54 55 53 49 48 50 57 64 70 76 69 56 49 51 52 48 38 32 26 17 10 8 4 6 16 16 12 12 8 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 0 0 0 1 3 10 20 34 46 55 62 67 75 77 80 86 90 114 121 129 148 156 152 140 138 140 143 141 136 126 114 101 91 89 93 101 103 98 92 88 88 90 93 94 95 96 98 104 113 124 132 135 131 127 125 125 126 126 128 128 119 108 99 103 116 130 131 123 111 101 99 101 104 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan 0 0 0 1 5 6 3 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 7 8 8 7 6 5 3 3 5 8 10 11 10 8 7 8 9 9 6 3 2 1 0 0 0 0 0 1 5 6 5 5 6 7 6 6 6 7 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 4 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 12 12 13 13 10 3 0 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 13 36 35 16 6 5 6 7 5 2 0 0 0 0 0 1 7 24 29 31 34 35 31 24 17 10 1 0 0 0 6 21 36 47 49 43 34 31 31 22 21 33 38 41 40 40 39 38 40 46 57 80 108 127 136 134 129 125 122 116 108 101 100 102 105 110 111 110 112 116 118 119 118 117 120 127 136 143 148 149 147 145 141 135 132 132 133 136 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 0 0 0 1 3 4 2 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 6 6 6 5 4 2 1 1 2 4 6 8 9 10 9 8 8 8 8 5 4 3 1 0 0 0 0 0 2 4 4 4 5 6 5 6 6 6 6 6 6 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 4 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 9 8 9 7 1 0 2 1 1 4 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 20 39 36 17 4 2 3 4 4 3 3 1 0 0 0 1 11 27 29 30 36 40 38 33 28 23 7 0 0 0 2 6 13 24 29 19 10 8 9 4 3 14 23 28 29 30 30 30 35 37 42 60 84 109 127 135 135 130 124 117 110 104 105 109 114 119 121 120 119 118 117 117 117 116 118 123 130 140 148 148 144 139 136 133 132 134 136 137 139 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 0 0 0 0 1 2 1 0 0 0 0 0 0 2 2 1 0 0 0 0 0 1 2 1 0 0 0 0 1 3 5 5 5 5 5 5 5 4 4 2 0 0 0 1 2 3 5 6 7 7 9 14 15 13 12 9 4 1 0 0 0 0 0 2 2 3 3 4 4 5 6 6 6 6 4 2 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 2 3 3 3 3 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 5 0 0 1 1 1 3 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 9 4 5 17 27 22 9 1 0 0 3 7 12 15 12 6 2 0 2 20 31 29 29 36 44 43 36 32 29 21 10 2 0 0 0 1 3 3 1 3 0 0 0 0 0 5 9 11 11 15 23 28 30 33 44 64 88 110 127 136 133 126 117 109 105 107 109 114 119 121 122 120 114 108 106 106 107 111 118 126 138 149 150 142 133 128 126 129 136 142 144 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 3 4 4 4 5 5 4 4 4 2 1 0 0 0 0 0 1 2 2 4 10 19 23 22 22 18 10 4 1 0 0 0 0 0 1 2 3 3 3 4 5 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 2 3 3 3 2 0 2 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 1 0 0 0 0 1 3 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 5 8 10 11 11 11 10 7 7 9 10 6 2 0 0 1 4 13 29 38 37 27 17 9 9 28 34 28 27 36 48 53 45 31 23 22 16 5 0 0 0 0 0 1 10 21 14 1 0 0 0 0 1 0 3 3 16 29 29 30 36 50 72 94 114 129 133 128 120 112 109 109 107 108 114 119 122 120 114 106 99 96 96 101 109 120 134 145 150 143 131 122 120 126 134 142 147 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 3 2 0 0 0 0 0 0 0 0 1 7 18 25 27 26 20 12 6 2 0 0 0 0 0 1 3 4 3 3 4 4 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 0 0 0 1 3 3 3 2 1 0 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 3 0 0 0 0 0 0 1 3 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 18 24 23 16 12 10 10 9 6 3 1 0 0 0 0 2 11 29 49 56 57 52 44 34 30 39 40 34 32 44 64 78 74 52 30 20 16 7 3 1 0 0 7 21 36 46 43 32 20 8 3 2 0 3 11 15 19 32 36 33 33 41 57 78 101 119 127 128 123 118 116 115 112 110 113 117 120 121 117 111 103 98 96 96 102 111 124 135 144 143 133 126 124 127 130 134 136 138 137 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 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 1 2 3 4 5 5 4 3 1 0 0 1 0 0 0 0 0 1 10 22 29 26 18 11 7 3 1 0 0 0 0 1 3 4 4 4 4 4 5 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 2 3 4 4 2 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 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 1 2 4 8 11 17 24 32 35 30 20 12 10 9 5 0 0 0 0 0 0 5 22 47 62 61 61 62 61 58 57 58 55 46 43 58 85 111 115 93 64 48 42 37 23 12 1 0 10 25 39 52 60 58 49 39 27 17 12 16 31 35 34 42 41 38 34 34 43 58 84 105 116 120 120 119 119 118 117 116 117 117 120 122 122 117 110 104 101 99 101 106 114 123 133 138 136 132 130 131 132 131 129 129 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 17 13 9 5 3 2 1 1 1 0 0 0 0 0 0 0 1 2 1 1 0 0 4 3 4 4 4 3 3 3 3 2 1 1 1 2 5 8 10 10 6 2 0 1 3 5 4 3 2 0 0 0 4 13 23 24 17 11 7 4 2 0 0 0 0 0 1 3 4 4 5 5 5 6 7 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 2 4 4 4 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 10 10 10 12 16 24 32 37 33 22 14 12 8 0 0 0 0 0 1 12 34 62 77 67 55 55 58 60 66 76 84 77 66 73 98 130 142 130 114 102 92 83 70 48 24 6 4 17 34 50 62 67 65 58 48 42 35 34 43 44 49 52 46 43 41 41 45 53 69 90 104 111 114 116 116 115 115 116 118 120 121 123 125 122 115 110 107 104 103 103 108 116 126 133 134 134 133 132 133 131 130 129 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 44 31 24 18 15 13 10 8 8 6 4 4 4 1 1 2 4 5 4 3 2 4 5 6 6 7 7 8 8 9 9 8 7 6 7 10 11 12 13 12 5 0 0 1 5 9 11 10 7 3 0 0 0 4 10 14 13 10 7 5 4 1 0 0 0 0 0 2 4 5 5 6 6 7 9 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 2 4 5 5 3 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 13 12 10 9 9 7 6 8 15 29 37 33 24 20 15 4 0 0 0 2 6 21 46 78 91 70 47 39 36 37 50 75 106 112 99 88 94 117 130 129 130 137 131 122 113 96 76 52 28 22 33 45 56 64 67 66 60 53 48 46 47 45 47 52 51 48 49 54 58 60 67 80 94 104 106 109 110 108 108 111 116 120 122 124 126 124 119 114 111 108 106 104 104 111 120 126 128 129 131 131 131 130 131 132 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
78 67 55 46 41 38 36 32 28 23 19 15 12 9 5 4 6 7 6 5 5 5 4 5 6 8 9 10 14 16 17 16 16 16 17 16 16 17 18 17 13 6 2 0 1 5 8 11 13 13 9 5 1 0 0 2 5 7 6 6 5 4 2 0 0 0 0 0 2 5 7 8 7 6 5 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 3 4 5 4 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 1 2 4 5 7 8 6 4 3 3 2 0 0 0 0 0 0 0 0 1 2 3 2 5 12 14 13 11 11 12 14 13 6 1 3 12 27 31 28 24 18 9 6 4 5 12 20 33 55 78 78 53 29 17 10 10 27 60 100 115 112 96 80 79 84 87 94 102 104 102 104 105 103 98 87 72 62 59 58 60 62 65 68 65 59 54 50 47 47 51 51 49 52 60 68 72 72 75 83 94 99 101 102 103 103 105 110 118 123 126 126 124 120 117 115 112 110 108 108 110 115 120 121 122 124 125 126 128 132 137 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
59 63 63 62 64 62 60 60 58 52 43 34 25 19 16 13 11 9 7 6 6 6 7 10 12 13 15 17 21 25 25 23 21 21 22 24 25 24 23 21 15 8 4 2 2 4 6 8 13 17 20 18 12 6 3 2 2 4 5 5 6 6 4 1 0 0 0 2 5 9 10 10 8 6 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 3 4 4 3 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 4 3 2 1 1 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 1 2 5 10 19 24 16 10 7 6 4 0 0 0 0 0 0 0 0 1 3 4 3 3 6 10 8 6 10 14 20 22 12 0 0 1 14 23 24 21 14 9 7 8 13 23 32 43 58 67 54 26 8 3 0 2 25 67 98 103 97 80 58 46 42 44 51 56 54 52 56 63 74 96 112 117 106 98 88 79 74 72 80 82 75 65 57 52 51 52 52 49 50 57 68 78 80 76 76 81 86 94 94 97 99 101 105 113 121 126 128 126 122 120 119 116 112 110 110 111 113 115 117 119 120 121 122 126 133 141 143 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
37 45 49 50 54 56 57 64 73 74 66 56 47 40 33 27 21 14 10 8 8 11 16 20 24 25 25 26 30 32 29 25 24 22 22 22 23 24 24 22 17 13 10 8 6 6 7 9 15 22 29 31 28 22 17 12 9 8 7 8 8 8 8 6 4 3 3 5 8 11 14 14 11 9 8 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 5 5 5 4 3 2 1 1 2 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 1 1 1 2 3 7 16 23 20 13 8 4 2 0 0 0 0 0 0 0 0 0 2 2 3 3 2 0 0 0 2 10 19 24 17 5 0 0 9 16 19 17 9 5 6 9 19 33 41 47 52 48 28 9 0 0 0 4 46 96 108 93 77 55 37 29 27 29 34 36 32 26 27 30 38 58 80 106 121 124 121 113 112 114 114 110 99 84 72 64 59 57 56 53 52 56 65 78 86 84 79 79 78 87 90 92 95 99 103 107 112 119 126 130 130 124 121 116 111 107 107 108 110 112 114 116 120 122 124 127 134 144 152 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
34 36 36 35 33 36 37 39 40 48 56 59 56 52 48 45 40 33 25 19 15 17 24 34 40 40 38 38 39 36 29 24 22 21 20 21 22 24 24 22 20 19 18 16 14 12 12 13 16 22 29 36 41 39 34 29 23 19 18 18 18 17 16 14 13 11 8 8 10 13 17 18 16 15 13 13 13 12 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 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 4 5 5 5 4 3 2 1 2 3 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 6 10 11 10 6 2 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 4 15 20 18 10 6 8 13 15 16 15 10 10 16 24 37 46 46 45 40 29 13 2 0 0 0 12 64 108 104 78 54 35 23 22 25 28 31 32 29 26 25 26 26 32 47 73 98 114 120 120 123 130 133 126 115 101 89 82 77 70 66 66 65 68 74 83 94 98 96 93 87 86 90 92 96 100 103 103 102 107 115 124 130 125 120 113 107 104 104 104 105 107 109 112 117 122 127 128 130 139 152 161 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
36 36 36 34 31 30 31 30 29 32 38 44 46 47 48 50 51 51 46 39 32 30 36 43 47 48 47 54 51 41 28 21 19 19 19 23 27 29 26 24 22 25 28 28 25 21 18 16 17 19 23 28 33 36 35 33 30 28 29 32 34 36 35 32 31 24 19 17 16 17 18 18 19 21 21 20 20 18 14 9 6 3 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 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 7 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 2 3 3 3 3 4 4 5 4 3 2 1 1 3 4 2 0 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 1 1 1 2 3 2 2 3 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 15 15 13 13 15 16 15 14 15 16 21 33 52 68 60 43 34 26 18 9 1 0 0 0 15 67 98 78 46 24 11 8 13 19 23 24 24 23 22 24 29 28 28 32 54 76 93 99 97 96 100 104 105 102 99 99 102 103 95 87 87 87 89 93 101 108 114 115 115 110 103 99 97 99 104 106 106 100 100 104 109 114 116 115 110 105 101 99 98 97 97 99 102 108 115 123 127 127 129 136 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
35 38 39 39 38 36 34 33 30 29 31 33 33 34 36 39 41 47 50 51 49 44 41 40 41 45 54 70 63 46 32 25 23 21 21 25 30 28 27 26 23 27 35 39 37 32 28 23 20 18 17 18 18 19 18 20 23 25 31 39 48 54 54 50 45 38 37 36 33 26 18 14 18 24 28 29 28 27 23 16 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 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 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 1 0 0 0 0 0 0 2 3 3 2 2 2 4 4 4 4 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 7 8 11 12 10 8 10 16 27 42 64 78 57 33 22 15 12 8 2 0 1 0 17 65 82 53 23 7 2 0 4 11 12 16 18 20 19 22 29 30 30 31 44 61 73 75 69 66 64 67 69 71 82 103 124 127 119 107 103 104 103 103 108 112 115 119 124 124 121 116 107 104 106 109 109 104 99 98 101 105 109 111 111 108 102 94 89 86 84 85 88 94 101 110 118 123 122 117 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
30 34 39 41 41 38 37 35 33 30 28 27 26 25 25 25 25 29 36 45 51 50 44 40 39 43 55 66 63 53 45 39 36 30 25 26 29 29 30 28 24 26 36 43 43 40 38 33 27 21 16 12 7 6 5 9 14 19 26 38 50 59 57 49 45 44 48 52 47 29 14 8 13 20 26 29 31 34 34 26 16 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 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 2 3 5 6 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 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 2 3 2 2 1 0 0 0 0 1 2 2 1 1 2 4 5 7 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 2 1 2 9 20 31 44 61 64 45 26 15 9 8 9 12 11 8 9 35 71 70 37 12 7 6 3 12 18 13 14 17 20 20 23 27 28 29 31 37 48 56 56 50 47 48 49 47 50 60 97 131 136 121 103 95 93 90 87 86 88 93 99 107 116 119 117 111 105 102 101 99 94 89 87 91 100 106 110 114 114 112 104 94 85 77 74 75 80 86 95 105 113 114 108 110 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
23 28 34 38 39 37 34 31 29 26 25 24 23 22 21 20 18 18 22 30 39 47 50 48 47 49 52 54 56 55 56 56 54 46 38 33 30 29 29 28 24 23 30 37 40 41 42 41 35 27 20 15 10 8 8 9 13 16 21 29 40 47 44 36 34 38 42 44 36 17 7 5 9 13 18 22 26 32 37 36 28 18 12 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 0 0 0 1 1 0 0 0 1 3 5 6 7 6 5 3 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 1 6 20 32 39 43 47 45 35 22 10 5 4 7 14 22 28 38 63 83 62 32 25 27 19 11 25 29 25 17 13 12 12 15 17 15 16 27 36 45 51 52 49 47 46 45 44 44 48 78 113 126 110 87 74 72 70 67 65 66 70 76 82 90 98 102 102 99 94 87 80 74 68 64 66 74 86 96 107 118 120 118 111 100 88 78 71 70 75 84 95 104 108 105 99 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 22 27 32 35 34 30 26 23 21 21 20 20 21 21 20 19 18 19 21 26 35 43 48 52 54 50 47 47 49 53 57 60 58 53 46 38 32 28 27 23 20 23 29 33 36 39 41 39 33 27 23 21 19 18 17 18 18 20 24 28 31 28 23 20 23 27 26 16 8 7 10 12 12 12 15 18 24 32 37 36 28 20 16 13 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 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 1 3 4 5 4 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 2 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 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 1 4 17 33 39 38 32 25 24 22 16 6 1 1 4 12 26 42 63 87 88 52 31 32 38 32 27 33 40 40 28 14 6 2 2 4 3 4 15 31 43 51 55 56 54 50 44 42 41 43 57 84 106 103 82 67 64 65 65 64 64 66 69 74 79 82 86 90 92 89 82 72 64 56 48 44 45 48 62 77 94 109 118 119 114 106 94 82 72 71 77 89 99 104 101 96 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 18 22 26 29 28 24 21 18 17 16 16 17 19 21 22 22 21 20 20 21 22 24 32 41 49 52 49 46 44 44 47 52 54 54 50 44 37 32 29 25 22 24 28 33 36 39 40 39 36 33 32 30 28 28 28 27 26 30 33 33 29 24 17 14 15 17 16 11 10 14 20 20 17 14 13 14 17 24 33 40 38 30 24 19 16 12 7 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 2 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 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 0 0 3 11 24 36 37 28 14 6 4 6 6 3 0 0 2 9 22 42 72 94 77 44 34 42 47 44 41 46 52 54 45 27 12 6 3 1 0 3 14 28 40 48 53 56 58 56 52 49 44 42 44 53 74 98 90 75 66 66 68 68 68 70 71 73 75 76 76 79 83 84 82 76 66 58 50 43 41 39 39 48 60 75 93 108 115 113 108 101 86 77 77 86 95 99 96 92 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 14 17 19 20 19 16 14 14 13 12 12 14 17 20 23 23 23 23 23 24 22 18 18 26 38 49 53 51 45 40 37 36 38 40 40 38 37 38 37 34 30 30 35 42 44 46 45 42 40 39 39 40 40 40 40 41 44 45 47 47 43 35 27 21 18 20 21 20 20 21 22 22 19 17 15 14 15 19 27 39 44 40 32 26 20 16 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 2 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 3 4 3 3 2 2 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 5 12 17 29 28 17 5 0 0 0 0 0 0 0 1 4 16 39 68 84 66 44 38 45 55 56 54 54 58 62 62 53 40 29 21 12 5 8 16 26 33 39 43 47 50 53 56 56 52 46 42 41 50 75 90 86 72 64 64 66 68 69 71 74 74 71 68 67 68 69 68 66 62 55 50 45 42 40 38 38 42 48 60 83 99 106 109 110 103 91 85 87 91 94 93 90 88 85 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 10 11 11 11 10 9 7 10 11 11 11 12 15 19 22 24 26 27 27 28 28 22 18 19 26 36 44 47 44 40 34 28 24 24 25 27 30 36 43 43 38 36 39 46 49 51 50 46 43 42 42 44 45 45 45 44 45 44 46 49 50 50 47 39 31 30 31 29 22 16 14 14 16 18 19 19 19 20 24 33 43 44 39 32 24 17 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 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 1 4 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 2 0 0 0 2 2 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 2 2 2 2 2 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 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 3 4 2 1 0 0 0 0 4 7 12 24 23 10 2 0 0 0 0 0 0 0 1 4 21 43 60 74 68 55 45 45 55 62 60 59 61 65 68 68 63 56 50 38 22 16 17 18 18 20 21 26 32 37 43 51 55 54 48 39 36 52 71 83 71 54 45 53 62 64 67 73 77 74 68 63 58 53 49 45 44 42 38 36 35 34 34 35 38 42 47 60 75 87 98 107 109 103 96 91 91 92 92 90 89 87 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 7 7 6 6 7 8 8 10 11 11 10 9 11 14 18 23 28 29 29 29 29 27 23 21 22 26 31 35 37 38 36 30 21 15 13 12 16 24 35 41 40 35 35 38 42 45 44 41 39 37 37 36 35 34 30 27 25 25 28 33 41 50 57 55 48 42 39 32 17 7 4 4 7 14 22 25 24 22 23 27 35 41 42 36 28 17 12 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 4 2 1 1 1 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 2 3 3 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 6 3 1 0 0 0 0 4 16 30 29 13 2 0 0 0 0 0 0 0 4 15 32 44 53 67 79 79 69 61 61 65 68 66 64 65 67 67 65 61 59 50 30 19 16 12 8 4 3 6 8 14 26 36 49 58 57 46 36 43 58 71 64 46 34 36 44 47 51 59 68 72 70 64 58 51 43 37 35 33 30 28 29 28 28 30 34 38 42 47 56 67 80 94 103 105 102 99 97 96 95 95 94 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 8 7 6 8 10 12 13 12 12 11 9 7 6 7 10 14 19 20 21 22 23 23 22 23 24 26 28 30 32 35 37 35 26 16 8 4 5 9 16 26 32 32 28 27 26 28 29 29 28 26 24 21 18 15 11 8 6 7 10 14 22 35 52 59 55 49 43 32 17 6 1 0 0 6 18 27 28 24 20 21 26 33 38 37 30 21 11 8 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 5 5 5 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 1 2 2 2 1 0 0 2 4 4 4 4 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 6 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 6 10 16 16 11 8 4 1 2 4 11 27 43 43 24 5 0 0 0 0 0 0 1 10 29 42 45 50 65 87 101 101 93 91 89 82 71 65 64 65 65 60 57 54 42 25 18 15 10 3 1 0 0 0 1 7 22 36 52 60 55 45 45 56 65 60 44 29 27 29 30 30 32 48 55 59 58 55 51 46 41 37 33 29 26 26 27 24 24 27 31 34 39 45 54 65 78 90 99 103 103 102 100 97 97 98 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 11 11 12 13 15 15 14 13 11 10 8 6 4 2 2 2 4 7 9 10 11 13 16 20 24 29 31 32 32 33 35 36 30 19 9 2 1 2 4 8 17 26 27 23 17 14 15 17 19 19 17 15 13 9 5 2 1 1 1 3 8 19 36 47 50 49 43 34 23 13 6 2 0 0 11 28 35 29 20 15 16 22 29 31 28 22 15 10 8 7 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 5 4 4 5 4 3 3 3 3 3 2 2 1 1 2 2 1 2 2 0 0 0 1 1 2 3 3 2 1 0 1 3 5 5 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 10 10 7 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 0 1 8 14 19 24 28 25 22 18 19 27 38 47 46 35 24 11 2 0 0 0 0 3 20 41 50 51 56 68 84 96 102 100 99 94 82 70 65 63 61 59 56 54 51 38 24 19 18 17 13 5 0 0 0 0 3 12 23 42 58 60 50 46 56 67 63 43 27 26 27 26 24 23 33 42 46 48 49 48 46 44 40 34 30 28 26 27 24 23 22 24 27 31 37 45 54 63 75 92 100 104 106 102 98 96 99 99 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 11 11 12 13 14 14 12 11 10 9 7 5 3 1 0 0 0 1 2 2 4 6 8 12 17 24 28 30 30 28 28 28 26 18 10 4 1 0 0 1 5 16 26 27 19 10 9 11 14 16 18 17 15 12 9 7 6 4 2 2 3 8 19 30 37 41 40 36 31 24 15 8 3 2 9 27 45 42 26 13 8 10 16 22 23 20 15 10 8 8 8 9 10 8 5 2 0 0 0 0 0 0 0 0 0 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 5 4 5 5 4 3 3 3 3 3 2 2 1 2 2 2 2 2 1 0 1 1 2 3 3 3 1 0 0 1 3 5 5 5 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 10 7 5 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 0 0 0 0 0 0 2 4 8 16 27 34 36 37 38 38 35 30 25 27 34 35 17 4 0 0 0 8 27 45 52 57 69 78 76 74 73 72 72 69 65 61 57 53 49 47 47 49 48 41 31 23 23 21 16 9 1 0 0 0 1 6 14 33 54 58 47 42 53 68 67 46 30 28 29 28 26 25 31 40 46 48 48 47 46 47 44 35 33 30 29 25 21 18 13 11 16 22 28 35 40 45 54 75 90 100 104 102 99 98 101 104 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 7 7 8 9 10 10 10 10 10 9 7 5 2 0 0 0 0 0 0 0 1 2 3 5 8 13 19 23 22 20 17 17 18 15 12 10 5 2 1 0 1 9 22 32 29 19 12 11 12 14 16 16 16 15 14 13 12 9 7 5 4 5 10 17 23 28 31 33 33 31 25 18 11 8 12 25 46 52 38 20 12 11 10 13 15 15 13 9 7 7 8 8 9 10 8 4 1 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 5 5 4 4 3 3 4 4 4 4 2 2 2 2 2 2 2 2 0 0 1 2 3 3 2 1 0 0 1 2 4 4 5 5 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 3 6 8 8 7 6 7 8 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 14 17 20 22 24 19 14 10 13 22 33 23 6 0 0 1 10 26 36 39 54 79 85 66 56 54 54 54 54 54 51 46 39 33 30 31 36 39 39 34 27 27 22 15 8 1 0 0 0 0 4 12 26 44 47 34 29 46 64 64 47 34 32 33 33 34 38 46 51 53 54 54 53 54 52 46 40 36 31 27 19 14 12 8 3 5 16 23 28 31 37 47 60 75 91 101 102 101 100 104 109 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
5 4 5 7 8 8 8 9 10 10 10 8 6 4 2 1 0 0 0 0 0 0 0 1 2 3 5 10 13 14 13 12 12 13 13 13 15 17 13 7 2 0 4 18 36 42 35 25 18 15 14 14 15 15 15 14 13 12 10 8 8 7 8 9 11 13 15 18 22 25 28 28 25 20 16 15 23 40 52 47 31 20 19 15 13 11 11 12 12 11 10 9 8 9 10 9 6 2 0 0 0 0 0 0 0 0 1 2 2 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 4 4 4 3 3 4 4 4 4 4 4 3 2 3 2 2 2 1 1 0 0 1 2 2 2 1 0 0 1 2 3 3 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 2 4 6 6 6 7 8 10 9 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 8 9 10 10 9 7 7 12 19 14 4 0 0 2 12 30 35 20 38 69 77 59 51 53 56 55 55 53 47 38 29 21 17 18 22 26 28 26 23 22 17 10 4 1 0 0 0 0 2 8 22 33 29 14 14 34 53 54 41 33 34 39 43 46 51 55 59 61 61 60 59 57 53 47 40 34 30 29 24 15 15 15 11 9 16 25 27 30 37 49 60 70 84 98 101 100 102 108 114 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
4 5 6 7 8 8 8 8 9 9 9 8 7 5 3 3 3 4 3 3 3 2 1 0 0 0 1 3 6 8 9 9 10 11 12 12 16 24 28 24 14 6 4 14 38 49 41 29 23 20 18 16 17 17 17 15 12 9 7 5 6 7 9 10 10 10 9 9 10 13 17 22 24 22 19 16 20 32 46 48 38 26 22 21 17 12 13 16 16 15 13 10 8 8 8 8 5 2 0 0 0 0 0 0 0 0 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 5 4 4 3 3 3 4 4 4 4 4 4 4 3 3 2 2 1 1 1 0 0 0 1 1 1 0 0 0 1 1 2 3 4 4 4 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 1 1 1 2 3 5 5 5 7 8 10 9 7 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 11 9 9 8 6 3 4 8 13 12 5 0 0 6 24 46 47 19 29 54 60 52 50 55 61 62 60 55 48 37 27 19 15 16 17 18 16 13 8 8 8 6 3 1 0 0 0 0 1 3 20 26 18 4 2 21 41 43 35 32 41 52 56 55 56 56 62 64 62 62 60 56 51 45 38 35 33 32 28 22 24 27 26 18 19 27 30 32 41 54 65 74 86 97 100 100 104 109 115 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 8 8 7 7 8 9 8 10 13 14 13 11 11 10 9 7 7 10 10 8 6 3 2 1 0 0 0 2 4 6 7 9 11 12 11 12 19 31 37 35 26 16 14 39 51 34 20 17 18 22 23 22 21 20 17 14 9 4 2 2 3 6 8 9 9 8 6 5 4 6 12 18 21 21 19 18 23 34 43 38 26 20 19 18 18 18 20 21 20 15 12 9 7 6 4 3 1 0 0 0 0 0 0 0 1 4 5 3 2 3 3 3 3 3 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 4 4 3 4 4 4 4 4 4 5 4 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 2 3 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 2 1 2 2 3 3 4 6 8 9 8 6 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 19 12 9 6 4 2 1 1 5 12 13 6 0 2 12 41 68 70 53 52 59 59 51 49 55 60 61 58 54 48 42 36 29 24 24 19 17 12 8 3 1 1 1 0 0 0 0 1 5 5 6 19 23 14 3 2 16 36 42 38 35 47 61 59 55 54 54 58 60 58 58 56 53 49 44 41 39 38 37 34 32 33 34 34 26 22 27 34 38 46 57 70 81 88 96 98 100 104 107 110 111 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
17 19 16 16 22 24 23 27 30 32 33 33 33 31 29 29 33 35 32 25 16 9 7 6 4 2 1 1 1 2 4 6 9 12 12 11 9 11 20 34 45 43 29 22 39 53 34 16 12 14 19 21 21 20 18 15 12 8 5 2 1 0 2 4 5 5 4 3 2 1 1 5 11 17 21 22 20 17 21 31 35 26 17 15 16 18 20 24 28 27 21 15 10 2 1 1 0 0 0 0 0 0 0 0 2 4 8 8 6 5 3 3 3 4 5 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 3 5 7 8 6 5 5 5 5 4 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 12 7 3 1 0 0 0 0 3 11 16 10 1 2 16 40 60 68 67 71 72 69 60 54 56 57 55 54 54 54 54 53 50 46 41 30 21 12 6 2 0 0 0 0 0 0 2 8 14 17 19 24 27 20 7 2 16 40 56 57 57 66 63 58 53 51 52 53 54 55 54 53 52 52 51 46 44 42 40 39 38 36 36 33 24 17 22 35 37 49 61 73 85 89 95 99 100 102 103 103 102 103 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
43 45 48 50 51 51 51 54 52 51 52 51 48 45 46 48 52 53 50 43 34 26 20 16 13 9 8 6 5 4 4 6 11 13 14 12 8 6 9 21 37 44 33 23 33 48 45 31 22 20 18 16 17 16 13 10 7 6 5 4 2 0 0 0 1 1 0 0 0 0 1 3 6 12 17 20 21 16 12 17 28 30 22 17 16 18 21 26 31 31 25 15 8 0 0 0 0 0 0 0 0 0 0 2 4 8 13 15 12 6 3 3 3 4 6 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 2 2 3 4 6 6 5 5 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0 0 0 0 0 0 5 19 26 18 4 3 17 30 38 43 50 60 68 71 70 66 63 60 58 58 60 63 66 67 66 64 52 35 21 11 5 2 0 0 0 0 0 0 3 13 20 24 25 29 36 37 28 14 22 41 65 72 74 72 64 55 51 50 51 53 55 54 54 54 54 54 54 50 48 46 44 42 41 39 38 29 8 6 17 34 34 46 59 73 82 91 100 102 102 102 100 97 95 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
60 59 58 58 57 57 57 56 51 47 45 42 37 36 39 42 45 45 45 43 41 39 35 32 29 25 25 26 24 21 20 20 19 17 14 11 7 5 6 12 23 30 22 16 26 42 49 44 38 32 23 19 16 12 9 6 6 6 7 4 2 0 0 0 0 0 0 0 0 1 3 6 6 9 13 16 20 19 13 11 22 34 32 24 20 21 23 26 30 30 25 14 4 0 0 0 0 0 0 0 0 0 1 2 4 9 13 13 10 1 2 4 4 2 5 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 3 4 5 5 5 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 18 32 32 21 10 7 14 22 28 31 34 39 46 52 59 69 71 67 66 64 65 68 69 70 67 61 47 30 18 10 4 1 0 0 0 0 0 0 5 13 23 29 30 35 44 51 46 38 36 45 63 77 86 83 70 57 50 50 52 55 55 54 54 55 55 55 55 53 51 48 46 43 42 40 39 31 9 20 27 34 36 42 55 69 80 89 97 102 102 102 99 93 89 87 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
47 43 39 37 38 37 35 30 26 23 20 14 10 13 18 22 21 21 21 23 26 32 38 42 43 43 43 45 46 45 43 40 33 23 15 11 9 10 11 13 14 14 10 11 23 42 53 54 49 42 30 20 15 11 8 8 11 13 10 5 1 0 0 0 0 0 1 1 2 4 7 10 10 10 10 13 17 21 20 16 20 36 42 33 26 25 26 26 26 25 21 13 5 0 0 0 0 0 0 0 0 0 1 2 2 5 6 4 1 1 2 3 3 2 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 4 3 3 3 4 5 5 5 5 5 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 15 26 38 40 32 22 14 6 7 13 20 24 26 26 27 29 36 54 62 63 66 65 61 61 62 58 50 39 28 21 14 8 4 1 0 0 0 0 0 0 5 14 26 33 34 38 52 58 54 47 52 56 64 77 92 96 89 75 62 55 55 57 53 52 54 55 54 55 55 54 52 49 46 42 40 38 35 31 24 30 31 34 38 42 51 68 80 88 95 99 99 99 97 93 88 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
26 21 17 14 14 12 9 8 7 6 4 2 1 2 2 2 3 5 5 5 7 13 23 32 38 42 41 43 48 54 56 52 45 33 22 15 15 17 19 18 15 11 9 16 30 46 56 57 52 46 32 18 13 12 12 15 19 18 12 4 1 1 1 1 1 2 4 6 9 11 13 16 16 17 16 15 17 22 26 25 26 37 50 45 33 27 29 29 26 23 18 11 6 5 2 0 0 0 0 0 0 0 2 2 2 1 1 0 0 0 1 2 2 1 2 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 3 3 4 4 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 1 2 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 1 2 2 2 3 4 4 4 4 4 5 5 5 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 20 30 36 43 47 40 30 22 14 5 2 3 7 12 17 20 20 21 23 33 39 45 49 48 45 44 41 35 31 27 23 18 14 7 4 2 0 0 0 0 0 0 5 15 28 35 35 38 53 57 58 60 71 75 76 84 98 112 115 106 90 78 73 69 60 59 64 67 64 62 64 63 60 58 53 44 42 38 32 28 26 30 30 31 36 41 49 63 78 88 99 101 99 97 96 94 90 84 80 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 8 6 5 4 3 2 2 3 3 3 3 3 3 3 3 3 4 3 2 1 2 6 13 21 26 26 25 31 42 52 56 54 47 39 32 27 24 22 19 15 12 14 25 41 53 58 55 50 42 28 16 12 13 17 22 24 18 9 2 0 3 5 4 5 8 11 15 18 19 22 24 24 23 22 21 20 24 31 34 33 40 53 55 42 29 25 28 27 24 18 10 7 7 7 4 1 0 0 0 0 0 2 3 3 2 1 0 0 0 0 1 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 5 5 5 4 4 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 21 37 44 43 41 36 27 20 14 9 3 1 0 1 2 6 14 18 22 25 29 30 31 30 27 25 26 24 21 22 23 22 18 14 9 6 6 5 2 0 0 0 1 6 16 29 36 36 38 47 52 62 81 97 101 101 104 112 124 133 132 119 108 104 97 89 87 91 96 99 99 94 90 87 84 79 70 60 52 44 36 30 26 26 30 35 38 45 60 72 81 94 101 100 98 97 96 94 88 84 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 7 5 5 4 4 4 4 4 4 4 6 8 9 8 9 10 9 7 6 4 3 3 4 8 10 13 15 21 35 50 60 60 56 51 45 30 20 17 15 12 10 14 29 47 56 56 49 42 33 21 14 11 15 21 27 27 17 6 0 1 6 12 17 20 21 23 24 25 25 26 28 29 28 27 26 24 26 33 38 38 38 49 58 50 32 18 18 22 23 19 11 7 6 7 4 1 0 0 0 0 1 3 3 3 3 4 2 0 0 0 0 0 0 0 1 5 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 5 5 4 4 4 5 5 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 36 44 43 34 25 14 8 7 4 2 0 0 0 0 0 1 9 18 25 30 32 31 29 25 22 19 18 17 16 18 20 20 18 15 14 17 18 14 6 1 0 0 2 7 15 30 37 39 34 39 46 57 85 113 123 124 125 128 132 133 131 124 119 117 114 113 114 116 118 121 125 122 115 111 107 103 100 92 83 74 64 53 44 41 43 50 52 52 63 70 74 83 94 101 100 100 99 98 93 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 11 10 11 10 10 9 7 6 5 5 7 11 14 15 15 15 15 13 12 11 9 7 7 9 9 12 17 27 39 51 57 57 52 46 34 16 9 8 8 5 5 10 27 45 52 47 37 28 22 17 13 12 16 20 26 25 15 4 0 3 11 23 37 39 34 32 30 27 25 25 28 31 31 29 27 25 25 32 41 40 36 44 55 52 35 17 11 16 20 22 17 12 6 2 1 0 0 0 0 0 1 2 3 3 4 7 7 1 0 2 3 1 0 0 2 8 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 1 2 3 3 3 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 4 4 4 4 4 4 4 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 33 39 36 28 19 12 7 4 2 1 0 0 0 0 0 0 0 7 17 26 31 32 30 27 23 20 17 15 13 10 12 15 16 15 14 18 28 33 25 10 2 0 0 1 6 13 28 37 42 35 33 40 50 70 100 120 127 129 131 131 127 121 115 111 110 111 114 117 119 117 114 111 113 113 110 108 108 110 109 106 101 97 91 79 71 69 74 79 82 83 82 79 79 86 98 102 103 103 101 96 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
17 18 18 18 17 16 15 13 10 9 10 12 15 17 19 20 20 19 16 15 14 13 12 11 10 9 12 19 29 36 39 45 43 35 24 11 4 2 3 2 2 3 8 26 41 41 30 22 17 15 13 13 14 15 16 19 20 12 4 1 4 14 28 40 40 36 31 26 19 18 24 30 34 33 30 26 23 21 27 38 44 42 45 53 53 40 26 17 17 21 24 22 18 12 6 4 3 2 2 0 0 0 1 2 3 4 6 6 3 4 8 8 3 1 2 6 9 10 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 1 2 2 3 3 3 3 2 2 1 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 0 0 0 0 0 1 3 3 4 4 4 5 4 4 4 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 18 24 23 19 15 12 11 9 8 7 4 2 1 0 0 0 0 2 9 19 25 27 26 24 22 19 15 13 10 8 7 7 8 9 10 11 20 38 50 31 9 1 0 0 1 5 13 24 35 38 34 30 34 44 55 73 96 107 111 113 114 113 110 105 101 100 102 102 104 105 103 97 91 93 96 97 98 100 104 108 110 109 108 108 104 96 93 93 97 103 105 103 100 95 94 99 103 104 104 103 99 96 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 20 22 21 20 20 20 18 16 15 15 17 18 18 19 20 19 17 14 14 14 15 14 12 11 10 11 15 21 24 27 32 30 20 9 3 1 1 1 3 6 10 17 31 38 27 18 14 12 12 13 14 14 13 12 11 14 12 5 3 6 13 20 24 25 25 23 17 12 21 36 42 43 39 33 27 20 15 16 30 47 52 50 50 50 46 39 33 31 31 30 28 22 15 9 6 6 6 6 3 1 0 0 1 2 4 4 4 2 4 8 9 7 5 7 11 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 3 4 4 4 4 5 5 4 6 6 6 5 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 1 11 15 13 10 8 8 9 9 9 9 8 8 7 4 1 1 3 6 9 11 16 21 22 20 17 14 14 12 8 6 6 6 6 6 7 7 6 8 19 40 55 36 9 1 0 0 1 4 9 17 25 28 29 28 28 38 46 55 69 79 80 78 80 84 86 86 83 80 81 82 82 82 82 80 79 82 86 87 89 92 97 102 105 106 106 106 103 99 96 95 96 100 104 109 112 114 114 112 109 106 104 104 102 98 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 17 17 17 18 19 20 19 17 16 17 18 18 17 18 18 17 15 13 13 14 16 17 15 13 12 10 11 14 19 23 25 25 19 10 4 2 2 4 9 15 22 28 32 28 18 12 12 12 13 14 14 14 12 9 8 11 14 9 6 8 9 10 11 12 16 20 22 27 40 54 56 52 46 39 30 20 11 8 18 40 54 52 44 41 42 47 52 54 51 42 33 24 16 11 9 9 10 12 11 6 2 1 2 4 5 5 3 0 2 5 9 13 15 16 17 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 0 0 1 2 3 4 4 4 4 4 5 5 6 5 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 0 0 0 0 0 0 0 0 0 0 8 16 12 8 4 4 5 6 7 8 8 8 8 7 3 1 4 10 14 17 18 18 18 16 12 9 7 6 4 3 4 5 5 5 6 7 7 6 7 17 36 46 30 15 4 1 0 0 3 6 11 18 21 23 25 24 33 41 48 53 60 62 59 55 56 59 61 62 56 57 54 57 59 60 61 66 73 78 80 82 84 90 95 98 100 100 100 97 92 86 84 84 86 88 94 103 112 120 124 119 112 108 106 104 101 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 13 13 14 14 15 15 16 16 16 16 18 19 18 18 15 12 10 10 12 16 18 19 17 14 13 11 9 10 13 16 18 22 21 16 11 10 10 12 17 23 29 29 25 20 16 13 14 14 15 16 15 13 12 10 9 11 14 13 10 8 6 5 5 7 14 26 36 43 49 55 56 54 49 40 31 22 14 8 12 26 42 47 39 32 33 43 54 62 68 55 35 22 15 12 12 13 13 14 15 14 10 8 8 8 7 6 3 0 2 5 11 17 20 20 18 9 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 1 2 3 3 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 3 2 3 4 4 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 15 10 5 3 4 6 6 6 6 6 6 6 4 2 3 9 14 17 19 18 15 12 10 7 5 3 1 0 0 1 2 3 4 6 8 8 7 7 11 30 38 31 21 10 3 0 0 1 4 7 10 13 16 19 21 26 35 42 47 53 57 58 55 51 48 49 50 45 43 40 43 47 49 51 56 66 71 73 75 77 82 86 90 92 93 92 89 84 79 74 72 72 74 78 86 97 109 119 122 121 118 113 107 104 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 12 12 12 13 14 14 17 17 16 16 16 17 15 11 6 7 6 7 8 11 16 19 20 18 15 13 11 11 10 11 13 18 21 21 21 20 21 25 29 29 30 25 18 14 14 17 18 17 16 16 14 14 13 12 10 11 16 16 12 8 5 2 2 5 14 31 40 36 32 36 44 50 48 38 29 24 20 15 12 16 27 35 35 32 33 41 49 57 75 60 33 18 15 14 14 14 12 11 11 13 14 13 16 14 10 6 4 4 4 7 13 19 22 25 18 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 1 2 2 2 2 3 4 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 18 16 10 6 5 6 6 5 2 1 1 4 6 5 4 8 13 17 16 14 10 8 7 5 3 1 0 0 0 0 0 0 0 2 5 7 7 6 6 8 21 31 30 22 12 5 2 0 0 2 5 7 8 9 11 15 20 27 35 39 45 52 57 58 56 54 53 52 50 47 44 42 40 38 37 44 56 63 67 70 73 76 79 82 84 85 86 84 80 75 68 62 60 62 66 73 83 94 104 113 120 124 123 119 112 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 11 12 13 15 17 19 21 20 19 17 17 17 12 8 7 7 7 6 4 3 8 14 19 22 21 19 17 16 15 14 14 16 17 19 19 20 25 32 38 37 32 26 22 20 22 21 18 16 14 14 13 14 14 12 11 14 21 18 11 6 3 1 2 8 18 34 34 22 14 18 30 44 48 40 32 29 31 26 15 11 18 27 34 38 43 49 53 60 76 58 31 22 21 18 14 12 10 9 9 11 14 16 20 21 15 9 5 3 4 9 15 20 22 22 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 3 5 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 16 13 8 6 7 8 7 5 1 0 1 4 7 8 9 12 15 15 11 5 2 2 2 1 0 0 0 0 0 0 0 0 0 0 3 5 4 3 4 5 12 21 24 17 9 4 2 0 0 0 3 6 7 7 8 11 15 20 27 31 36 44 53 58 60 59 57 56 55 53 50 45 39 36 34 35 41 50 56 60 65 70 73 75 76 78 79 80 78 72 64 56 50 50 54 61 71 81 91 97 104 113 119 122 120 115 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 13 16 18 20 22 24 26 26 26 24 22 22 18 13 8 8 9 9 6 2 2 5 11 19 25 25 24 23 22 20 18 16 15 13 11 12 15 22 29 34 34 34 32 26 19 14 11 11 11 12 12 12 12 11 10 16 23 19 11 6 4 4 8 16 26 34 31 20 11 10 22 40 50 48 40 36 38 36 28 21 24 30 38 46 54 58 60 70 78 60 38 32 30 21 14 11 10 11 13 16 18 17 18 22 20 16 5 2 3 10 17 19 19 18 16 10 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 1 2 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 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 2 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 9 7 5 6 8 10 9 6 2 0 2 6 9 11 12 13 11 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 3 8 12 14 9 5 4 2 2 2 2 4 5 6 6 7 8 10 13 18 21 27 34 45 54 59 58 54 51 50 49 49 48 46 42 40 40 41 43 45 46 47 51 59 62 64 66 68 71 71 68 62 54 46 41 44 51 61 69 77 82 88 94 103 112 117 117 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 18 21 23 24 26 29 30 31 32 32 30 29 27 23 18 14 14 13 10 6 2 1 2 6 14 22 26 28 28 26 23 20 15 10 6 5 5 8 12 23 34 38 32 19 9 6 6 9 12 14 14 12 10 10 10 14 21 21 15 11 10 12 16 22 27 28 24 19 13 11 20 38 53 54 46 40 42 46 45 42 39 40 46 54 62 64 65 74 76 59 40 34 36 33 24 16 15 18 23 25 24 22 22 25 27 24 12 9 7 18 22 20 17 15 13 9 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 2 2 3 4 3 1 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 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 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 3 2 1 6 10 10 9 7 4 2 4 8 12 14 13 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 8 6 4 4 4 4 3 4 4 5 6 6 6 6 6 8 12 12 17 26 37 46 49 47 42 36 32 32 36 41 45 46 45 44 44 41 39 36 36 38 38 44 47 50 53 56 58 57 55 51 48 43 42 46 52 58 63 67 72 77 84 94 104 110 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
19 21 22 24 25 27 31 31 31 32 33 34 33 32 30 26 23 22 19 16 11 6 3 1 0 1 7 18 25 30 31 29 24 18 11 6 4 4 5 5 15 30 34 27 17 10 8 10 13 16 19 17 14 11 10 9 12 18 23 21 16 16 16 15 16 16 15 14 16 18 20 27 42 53 56 50 45 47 52 55 54 50 48 52 58 64 65 63 59 55 45 34 32 41 44 35 26 25 28 37 29 25 25 28 32 33 30 24 21 23 29 28 20 12 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 4 4 4 2 0 0 0 2 3 2 1 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 3 11 10 8 7 5 3 3 6 10 12 12 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 7 6 6 6 5 4 4 3 4 5 5 5 5 5 5 7 8 9 11 18 30 38 38 32 27 21 15 15 20 27 35 41 44 44 41 36 32 29 28 29 32 31 30 30 32 35 36 39 40 41 42 44 43 44 47 50 52 54 58 62 67 76 87 98 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 19 21 23 25 28 31 31 31 32 34 36 36 35 35 34 33 31 24 19 16 13 8 4 1 0 1 6 13 19 25 28 26 22 17 12 7 5 6 6 10 23 28 24 20 19 18 17 18 20 23 22 17 14 12 11 11 15 20 21 16 12 11 10 9 8 7 8 14 22 30 38 46 51 55 54 50 50 53 54 51 49 48 51 56 64 68 63 48 40 38 39 43 46 40 32 28 32 39 55 31 22 28 34 39 40 38 36 38 39 36 32 16 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 5 4 5 6 5 4 4 4 2 1 1 3 4 4 3 2 3 3 3 2 2 1 2 1 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 1 2 3 2 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 12 8 5 3 2 1 3 6 7 8 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 8 8 7 8 9 8 7 5 4 4 3 3 4 3 2 2 3 4 6 6 8 14 23 31 26 19 18 14 11 9 10 15 21 28 33 36 34 28 25 21 20 19 20 21 18 15 14 16 18 21 27 32 33 37 39 40 43 44 44 44 46 49 53 58 69 82 94 100 nan nan nan nan nan nan nan nan nan nan nan nan nan
13 14 19 22 25 28 30 30 31 33 37 39 39 39 40 42 41 37 28 21 18 17 15 11 6 2 1 1 2 4 9 17 22 24 24 18 12 9 8 9 12 19 25 23 25 29 28 22 19 20 23 24 20 16 14 13 11 11 15 16 12 8 7 6 7 7 9 12 18 27 37 46 50 47 45 49 51 50 51 49 46 44 43 42 46 54 61 58 42 36 36 37 36 30 23 22 25 32 43 58 48 42 40 44 51 53 48 46 47 43 36 28 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 6 6 7 5 3 2 3 4 4 4 4 5 5 4 3 4 4 4 3 2 2 2 1 1 1 2 1 1 1 1 2 2 2 2 2 2 3 4 3 2 2 2 0 0 0 0 0 2 3 4 3 2 2 2 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 1 2 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 11 9 4 1 0 0 1 2 1 0 1 2 0 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 8 8 11 13 11 8 6 6 4 3 1 2 1 0 0 0 1 2 3 6 12 19 21 18 16 14 13 12 10 8 9 12 15 19 22 19 17 16 14 14 14 13 11 10 6 7 10 11 14 18 23 26 26 26 29 33 36 36 35 36 39 42 46 54 66 78 88 nan nan nan nan nan nan nan nan nan nan nan nan nan
10 11 15 19 22 25 27 29 31 33 36 40 41 42 44 44 43 38 29 20 19 18 18 17 14 9 6 4 2 1 3 7 13 18 23 22 16 12 11 14 17 21 23 24 26 32 32 24 17 17 20 23 22 18 16 15 12 8 10 14 12 8 5 6 8 10 13 19 25 31 40 50 53 44 35 37 43 45 47 50 49 43 36 33 34 43 51 46 34 28 24 21 18 16 16 20 26 33 44 54 55 58 59 58 62 56 47 42 35 26 20 16 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 7 8 7 7 5 3 1 1 3 4 4 5 5 5 5 4 5 5 4 4 3 2 2 2 2 3 3 2 1 2 2 2 2 2 2 3 4 5 5 3 3 3 3 1 0 0 0 1 2 4 4 3 2 2 3 4 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 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 8 4 1 0 0 1 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 1 4 6 7 8 8 8 9 11 13 12 8 7 6 5 2 0 0 0 0 0 0 0 0 1 5 11 17 19 16 14 14 13 9 3 1 4 6 8 11 12 12 10 8 7 8 10 10 8 7 5 4 5 8 10 13 16 18 16 12 12 15 18 21 23 25 28 32 37 43 52 64 78 nan nan nan nan nan nan nan nan nan nan nan nan nan
10 11 13 16 18 21 23 25 29 32 34 37 40 43 45 43 40 37 28 21 19 18 18 18 18 16 12 9 6 3 3 4 6 9 13 16 16 14 15 19 23 25 24 24 26 34 36 26 19 17 20 22 21 19 17 16 13 7 8 14 14 11 8 9 11 14 17 23 28 33 43 55 57 45 29 23 27 33 40 48 54 47 36 31 32 37 40 36 28 22 18 16 18 20 20 25 32 38 46 56 65 72 72 65 55 34 22 18 12 10 10 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 5 5 6 8 8 5 3 2 0 0 1 2 2 5 6 5 6 6 6 5 4 4 4 3 3 2 3 3 3 2 2 3 3 3 3 3 3 4 5 7 5 3 3 4 3 2 2 1 1 1 2 3 4 3 2 2 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 8 4 1 0 1 2 4 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 2 5 7 8 8 8 8 9 10 10 9 7 6 5 4 1 0 0 0 0 0 0 0 0 1 5 8 13 15 14 12 10 8 4 1 0 0 1 2 3 4 3 2 2 2 1 1 4 2 3 2 2 3 5 7 9 13 13 10 2 1 2 3 4 8 13 17 22 28 35 43 53 66 nan nan nan nan nan nan nan nan nan nan nan nan nan
10 11 12 13 15 17 20 22 27 30 32 34 36 39 41 40 37 34 30 23 19 18 18 18 18 18 16 14 12 8 6 5 5 5 5 7 10 13 15 20 25 27 26 25 26 33 37 32 24 21 21 22 22 19 18 16 13 9 9 16 18 14 10 9 11 14 18 25 31 40 52 60 53 38 23 13 13 19 30 45 55 54 44 40 40 38 35 33 30 25 21 21 24 26 27 31 40 46 54 66 77 81 71 53 32 10 2 1 1 1 4 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 5 5 6 7 7 5 2 1 0 0 0 0 2 4 5 5 5 6 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 4 6 8 6 3 3 3 4 3 3 3 2 2 2 3 3 2 2 1 2 3 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 8 5 2 0 0 2 5 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 7 7 8 8 8 9 8 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 4 7 9 10 10 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 10 10 6 2 0 0 0 0 1 3 5 11 18 27 36 44 54 58 nan nan nan nan nan nan nan nan nan nan nan nan
10 11 11 12 12 14 16 19 22 27 30 30 30 33 36 36 34 32 29 24 19 18 17 16 17 17 17 17 16 14 11 8 7 6 5 4 6 8 11 15 22 26 26 26 25 29 34 35 30 26 22 22 22 20 18 16 12 10 11 16 20 18 10 8 10 12 18 28 41 53 57 50 34 18 10 9 8 9 20 38 52 57 54 52 52 49 42 38 34 29 26 27 31 35 38 40 45 52 65 77 83 78 59 37 19 8 2 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 6 5 5 6 7 8 5 2 0 0 0 0 0 0 1 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 6 8 6 4 4 4 4 4 4 4 3 2 2 3 3 2 2 1 1 2 2 3 3 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 10 6 2 0 0 2 4 7 7 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 2 4 5 5 6 7 7 7 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 7 7 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 6 4 1 0 0 0 0 0 0 0 2 6 16 27 35 43 49 nan nan nan nan nan nan nan nan nan nan nan nan
11 11 12 12 12 12 12 13 16 19 22 25 25 27 31 34 34 32 27 20 15 16 15 14 14 15 17 18 18 17 15 13 11 8 6 5 4 4 4 6 11 18 21 22 21 22 28 34 33 30 25 23 22 21 18 15 13 11 12 16 20 18 12 8 9 12 22 39 55 57 45 30 16 10 10 11 7 4 11 29 46 53 54 54 54 54 49 41 35 31 31 35 41 45 47 46 49 57 70 77 74 58 39 26 17 11 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 6 6 7 8 5 1 0 0 0 0 0 0 0 1 1 1 2 3 3 3 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 5 6 8 7 5 4 4 4 4 5 4 4 3 3 4 3 3 2 1 1 1 2 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 14 17 12 5 1 0 2 4 5 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 5 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 6 15 23 33 41 nan nan nan nan nan nan nan nan nan nan nan nan
12 12 12 13 12 12 11 11 11 12 14 18 21 22 27 33 36 33 28 20 14 14 15 15 15 15 16 17 18 18 17 16 14 12 10 8 6 4 3 2 4 7 11 14 16 17 23 31 34 33 28 24 22 20 18 15 13 11 12 15 18 17 13 10 9 13 29 51 56 41 25 16 13 12 12 12 6 0 7 24 41 49 51 50 50 50 48 42 36 32 34 40 46 50 51 51 55 62 66 64 53 38 26 17 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 4 4 5 5 5 6 7 5 2 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 4 4 4 4 4 4 4 6 6 6 6 6 5 5 6 7 8 8 7 6 5 5 7 8 7 6 6 7 7 5 3 2 2 1 1 1 2 4 4 4 3 2 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 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 8 19 21 15 8 5 3 3 3 4 6 6 5 4 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 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 20 30 nan nan nan nan nan nan nan nan nan nan nan nan
13 14 15 16 15 13 12 11 11 11 11 12 16 21 24 30 34 33 30 24 20 19 17 16 15 15 15 16 17 18 18 17 16 14 13 11 9 7 5 3 3 4 6 8 10 13 17 24 31 34 32 27 23 20 17 14 12 11 11 14 17 15 12 9 9 17 36 52 43 24 15 13 13 14 14 12 8 4 7 19 37 50 55 53 49 47 44 39 34 32 34 39 43 45 47 52 59 64 64 57 44 29 15 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 1 1 1 0 0 0 0 0 2 5 5 4 3 3 4 4 5 7 6 3 1 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 3 4 4 4 4 4 5 8 9 10 9 9 8 8 8 8 10 10 10 10 8 9 11 12 11 10 10 11 11 9 5 3 3 2 1 1 2 3 4 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 24 19 12 7 6 3 1 4 6 7 7 7 7 6 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 16 21 nan nan nan nan nan nan nan nan nan nan nan
15 17 18 19 18 16 14 12 12 11 11 10 14 19 22 26 30 32 32 31 28 28 23 17 14 14 14 16 17 17 18 18 16 15 14 12 11 10 8 6 5 6 6 7 7 8 10 15 23 31 34 32 26 20 16 14 12 11 11 13 16 14 11 7 9 20 39 47 32 17 12 12 14 15 16 14 11 8 8 12 25 43 53 56 53 48 42 37 33 32 34 34 33 35 42 51 59 63 59 47 31 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 1 0 0 0 2 4 5 4 3 2 2 3 4 6 6 3 1 0 0 0 0 0 1 1 0 1 2 3 3 5 6 5 3 3 4 4 5 5 7 10 12 12 12 12 12 12 11 10 12 13 13 12 12 13 14 13 12 11 10 10 10 10 6 3 1 1 0 2 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 2 2 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 0 0 2 10 21 21 15 10 6 4 3 6 8 8 9 8 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 nan nan nan nan nan nan nan nan nan nan nan
15 17 18 18 17 15 13 13 13 12 11 11 14 19 21 22 26 29 32 35 35 33 24 18 14 13 14 15 17 17 17 17 16 15 14 14 13 12 11 9 7 7 7 7 7 7 8 10 15 24 32 35 31 22 16 13 12 12 13 15 16 14 11 8 11 26 43 45 30 15 11 12 15 17 17 16 14 11 9 11 18 30 41 50 53 50 44 40 38 37 35 31 28 31 40 50 60 60 49 31 14 3 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 4 3 2 0 0 1 3 5 4 3 2 2 2 3 4 6 4 2 0 0 0 0 0 0 0 0 1 1 1 2 3 5 5 3 3 4 5 6 7 8 11 13 13 13 13 13 13 13 12 13 13 12 12 12 13 12 12 11 10 10 10 9 8 6 3 1 0 0 1 2 1 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 17 19 14 8 6 7 9 10 10 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 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 0 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 nan nan nan nan nan nan nan nan nan nan nan
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14 14 15 15 16 16 16 16 15 15 15 14 14 14 14 13 13 13 13 14 14 15 16 17 17 17 18 18 17 17 18 18 18 18 18 18 18 18 18 17 15 14 14 14 14 13 13 13 13 13 12 12 12 10 5 2 2 3 6 16 29 34 22 10 6 9 16 20 18 13 11 12 21 33 42 45 44 42 41 39 36 33 31 30 30 30 34 54 77 88 90 77 64 50 32 14 4 4 1 0 0 0 0 0 0 1 2 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 6 5 6 7 6 5 4 3 4 5 3 1 0 0 1 2 3 5 6 5 2 1 0 0 2 2 3 6 10 12 12 9 7 5 4 4 3 3 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 4 3 1 0 0 0 0 0 0 0 nan nan nan nan nan nan nan
14 15 15 16 16 16 16 16 16 16 15 15 15 14 14 14 14 14 13 13 14 14 14 15 15 16 17 17 17 17 17 18 18 18 18 18 18 18 18 18 16 14 13 14 14 14 14 14 14 13 12 12 12 12 7 3 2 2 4 9 19 33 32 18 9 9 15 20 21 18 14 12 16 27 36 38 37 37 39 41 41 38 35 34 34 33 37 53 75 88 82 62 48 37 26 13 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 4 4 5 5 5 6 7 6 5 4 4 5 6 4 2 1 0 1 3 4 6 7 6 4 2 1 1 1 2 3 4 7 9 9 7 6 5 4 4 4 4 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 11 12 11 10 8 7 4 1 0 1 2 2 2 2 nan nan nan nan nan nan nan
14 14 14 14 14 15 15 15 15 15 15 15 15 16 16 16 16 15 15 15 15 14 14 14 14 15 15 16 17 17 18 18 18 18 18 18 18 18 17 17 16 14 13 13 14 14 14 14 14 14 12 11 12 12 10 4 1 1 2 4 10 22 33 28 14 9 12 18 21 21 18 15 13 16 21 25 26 27 32 37 40 39 37 37 38 38 43 56 72 80 67 46 27 15 11 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 6 7 7 5 4 4 5 6 5 4 2 1 1 3 5 6 7 7 6 4 2 1 1 2 3 4 4 5 5 5 5 5 5 4 3 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 0 0 0 0 0 1 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 3 9 16 18 17 15 11 9 6 3 1 2 5 7 6 5 nan nan nan nan nan nan nan
13 12 12 12 12 13 13 13 13 14 14 14 15 16 16 17 17 17 17 17 16 16 16 15 15 15 15 15 16 17 17 18 18 18 18 18 18 18 17 17 15 14 13 13 14 14 15 15 15 14 12 11 10 11 11 8 2 1 1 2 4 11 24 31 23 11 10 14 18 20 20 18 15 12 11 12 14 17 22 29 35 37 38 38 39 41 49 62 71 70 57 44 17 7 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 7 7 6 5 5 5 5 5 5 5 4 3 2 4 5 7 8 8 6 5 4 2 2 2 3 2 2 3 2 3 5 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 6 6 5 2 1 0 0 1 3 6 6 6 5 2 2 1 1 0 0 0 0 1 2 1 2 6 8 9 9 7 5 4 4 4 6 13 20 26 29 26 21 15 11 6 4 4 6 9 9 8 nan nan nan nan nan nan nan
9 9 10 9 9 10 10 10 10 11 11 12 12 13 14 14 15 16 17 17 17 17 17 17 16 16 15 14 15 15 16 17 17 18 18 18 18 17 17 17 15 14 13 13 13 14 14 14 14 14 12 10 10 11 11 10 5 0 0 1 2 4 13 24 28 19 9 9 13 18 20 20 18 15 12 10 11 12 14 20 28 33 36 37 37 38 49 63 70 66 53 40 23 10 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 7 6 6 5 4 5 5 5 5 5 5 4 5 5 7 9 9 7 6 5 3 2 1 2 2 1 1 1 2 5 6 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 7 7 6 5 4 2 1 3 6 8 8 5 5 5 5 4 1 0 0 0 1 5 9 13 17 19 21 25 26 21 15 12 10 10 12 17 25 36 43 44 42 36 28 17 10 6 6 7 8 9 9 nan nan nan nan nan nan
7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 11 12 13 14 15 15 16 16 17 17 16 16 15 14 14 14 15 16 17 17 18 17 17 17 16 15 14 13 13 12 13 13 14 14 13 12 9 9 10 11 12 8 2 0 0 2 2 5 15 24 26 17 8 10 15 19 20 20 19 18 16 15 14 12 14 20 28 32 34 34 34 39 53 63 59 45 31 20 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 7 6 4 4 5 5 5 5 6 6 6 6 6 6 8 9 8 7 4 4 2 1 1 1 1 1 1 1 3 5 6 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 8 7 6 3 2 1 1 1 2 0 0 0 0 0 0 0 2 1 1 0 0 0 1 2 5 6 7 8 8 8 7 6 5 6 7 8 6 3 1 0 1 3 2 1 0 0 0 1 5 8 10 13 19 21 24 26 25 23 19 17 16 17 20 26 35 42 47 49 50 45 35 22 13 8 7 7 8 8 nan nan nan nan nan nan
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6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 11 12 13 14 15 16 16 16 15 14 14 13 13 14 15 16 16 17 17 17 16 16 14 13 12 12 12 12 12 12 9 8 8 8 11 13 9 3 0 0 1 3 4 9 18 25 24 18 16 17 17 16 19 22 24 23 22 19 16 14 16 17 19 24 28 30 33 42 46 31 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 2 4 5 6 6 5 4 5 5 4 5 6 6 7 7 7 8 8 8 7 6 6 4 3 2 2 2 2 2 2 3 5 6 7 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 13 13 12 10 9 7 6 6 7 7 8 7 6 4 2 1 1 2 3 3 3 3 5 7 9 9 10 10 11 11 11 12 12 12 12 12 11 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 7 8 8 9 8 7 6 6 7 9 14 22 26 28 30 28 21 13 8 8 nan nan nan nan nan nan
10 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 9 10 11 12 13 14 15 16 16 16 15 14 14 14 14 14 15 16 17 17 17 16 15 13 12 12 12 12 12 12 10 8 7 7 9 12 12 7 2 0 0 2 4 6 12 20 26 27 24 22 19 15 15 18 21 22 23 25 23 19 14 10 11 18 27 32 32 30 28 24 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 2 2 2 1 0 0 0 1 3 5 6 6 5 5 4 3 3 4 5 6 7 7 8 8 7 7 6 6 6 5 4 3 3 3 3 4 5 5 5 6 7 8 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 11 13 13 12 10 9 8 7 7 8 9 10 9 8 7 5 4 4 4 4 4 4 5 7 12 15 15 15 14 14 14 15 16 17 16 15 14 13 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 1 1 2 4 8 13 19 23 21 15 10 8 8 nan nan nan nan nan
10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 7 7 7 8 8 8 9 10 11 12 13 15 16 16 17 16 15 14 14 14 14 14 14 14 15 15 14 13 12 12 12 12 12 12 11 8 7 7 8 10 13 11 7 2 0 1 3 6 8 14 21 26 27 27 24 19 16 14 15 16 22 33 38 29 17 10 11 22 33 36 32 27 23 18 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 3 4 3 2 0 0 0 0 1 3 5 5 5 5 3 2 1 1 3 5 6 7 8 8 7 7 7 7 7 7 6 4 4 3 3 4 4 4 3 4 6 8 8 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 10 11 12 12 12 11 9 8 8 8 10 10 11 11 10 9 8 7 7 6 6 6 8 11 15 20 21 19 17 15 15 15 18 20 21 21 19 17 14 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 11 10 8 8 8 nan nan nan nan nan
8 7 8 8 8 8 8 9 10 10 11 12 12 13 12 11 10 9 8 8 8 8 8 8 9 10 10 12 13 14 16 16 17 17 16 15 14 13 12 11 11 12 12 12 12 11 11 11 12 12 12 12 9 7 6 7 8 11 13 12 7 2 0 1 4 6 9 14 18 22 26 28 24 18 13 12 11 17 37 47 41 29 23 25 34 44 43 37 31 23 13 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 2 0 0 0 0 0 1 2 4 4 4 3 2 1 1 2 3 5 6 7 8 8 8 7 7 7 7 7 6 5 4 3 4 3 2 2 4 7 9 9 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 10 11 11 12 12 11 11 10 10 10 11 12 12 12 12 11 11 10 10 9 9 9 11 15 22 24 25 22 20 18 16 16 16 19 22 24 23 22 20 17 13 8 5 1 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 2 4 6 8 8 8 8 nan nan nan nan nan
5 5 5 5 5 5 6 6 7 7 8 9 10 11 12 12 12 12 12 11 10 9 8 8 8 8 9 10 10 12 13 15 16 17 17 16 15 14 12 10 9 9 9 9 9 8 8 9 10 11 12 12 10 7 6 6 7 9 11 13 12 8 3 1 1 4 7 9 10 14 20 26 26 21 14 11 11 14 35 49 52 48 44 42 45 51 48 35 24 16 8 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 1 2 3 3 3 2 2 1 1 2 4 5 7 7 8 7 7 6 6 7 7 7 6 5 3 3 2 1 2 5 9 12 11 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 12 14 16 15 13 12 11 11 12 12 13 14 14 15 15 14 13 12 12 12 14 18 26 34 36 29 24 21 19 18 17 16 16 18 20 22 23 22 22 20 17 12 7 4 2 1 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 1 3 7 9 10 9 8 nan nan nan nan nan
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