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 4 3 2 2 2 3 2 2 3 2 3 3 4 5 6 6 7 6 6 5 6 6 6 6 5 4 4 4 4 5 6 6 5 6 4 3 1 1 1 1 2 3 3 3 4 3 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 4 4 5 5 5 5 5 6 7 8 8 7 6 5 5 5 6 8 10 10 7 5 2 -0 -1 2 8 7 5 3 -2 -6 7 9 2 1 5 2 7 11 7 4 4 4 3 5 6 -1 -1 4 5 3 7 7 -0 -1 3 6 6 2 1 9 17 9 -3 -2 2 1 2 2 1 4 3 -2 -6 -7 -1 4 6 9 5 -1 2 3 2 -0 -2 -0 3 5 4 6 20 39 34 14 6 5 4 3 4 5 6 8 10 12 12 10 8 5 3 3 3 4 3 4 4 4 4 4 4 5 5 5 6 6 6 7 6 5 4 4 4 4 4 3 2 3 5 6 7 6 5 6 5 5 4 4 5 7 6 5 5 5 4 4 4 5 5 5 6 6 7 9 10 6 6 6 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 6 5 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 6 6 6 6 5 4 4 4 4 4 4 6 10 19 25 19 13 10 9 6 -1 -5 -10 -9 -13 -6 -1 -1 2 3 3 3 2 -1 -5 -12 -16 -14 -12 -12 -10 -4 2 5 6 7 9 10 14 19 19 18 17 13 10 8 7 7 8 10 11 14 15 13 12 13 13 10 8 8 7 7 6 6 5 5 6 6 5 5 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 nan nan nan nan 2 2 2 1 2 3 3 2 2 2 2 2 2 2 4 4 5 6 5 5 5 5 6 6 6 5 5 4 4 4 5 5 5 6 6 5 4 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 5 4 3 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 5 6 6 6 6 6 5 4 4 4 5 5 5 5 5 6 6 7 7 6 6 5 6 6 8 9 9 6 3 2 1 -0 4 11 10 13 16 6 3 9 7 6 5 7 3 3 5 7 9 9 5 6 15 12 3 1 3 3 7 13 8 -3 -4 2 8 9 5 -4 -2 13 14 3 -3 0 7 7 2 3 6 5 2 0 -4 -5 -3 2 8 6 3 3 -1 -1 1 3 5 8 9 8 16 32 37 22 7 5 4 4 4 4 5 7 8 10 12 12 10 7 4 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 4 3 3 4 4 3 2 2 3 4 4 5 7 6 5 5 5 5 5 7 7 5 4 5 5 5 5 5 5 5 5 5 5 6 5 2 2 5 4 3 3 4 5 5 5 5 5 4 4 3 4 4 4 4 4 4 3 3 3 3 4 4 5 6 6 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 5 5 5 6 6 6 6 7 6 6 6 6 6 5 5 4 4 4 4 4 4 6 11 18 22 21 18 16 15 13 10 9 3 -0 -1 2 4 8 9 7 9 9 5 1 0 -3 -6 -5 -6 -7 -6 -1 4 5 6 6 6 7 9 11 13 11 5 4 5 5 5 6 6 7 8 9 8 8 9 8 7 6 6 6 5 5 6 5 5 5 5 6 6 6 5 5 5 4 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 nan nan 1 1 1 1 2 3 3 3 2 2 2 1 1 2 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 7 6 5 5 4 5 6 5 4 5 5 6 6 7 7 6 6 6 6 7 8 7 5 3 2 1 4 10 10 8 13 17 6 2 4 -1 3 8 7 4 1 3 3 6 8 4 5 13 13 7 1 -0 -0 8 15 9 3 2 3 6 8 8 2 -2 2 4 4 3 6 10 5 0 4 9 11 7 3 -1 -1 -1 -1 4 9 6 -1 -4 -1 4 8 10 9 7 14 29 36 25 10 5 5 4 4 4 5 6 7 8 10 12 12 10 7 4 3 4 4 4 4 5 5 5 4 4 4 5 5 6 6 6 6 6 5 4 3 3 4 3 2 1 1 3 4 3 1 1 5 6 5 4 5 6 7 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 -5 -8 -2 -0 -4 -4 2 4 4 4 3 4 3 3 2 3 3 3 4 4 3 3 3 3 3 4 5 6 6 5 4 4 4 4 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 7 13 17 18 16 12 12 12 9 5 6 6 7 7 6 5 5 8 9 6 3 4 7 6 6 5 4 3 2 3 5 5 5 5 5 5 6 7 6 4 3 4 4 4 4 4 4 5 6 5 6 6 6 5 6 6 5 5 5 5 6 5 5 5 6 6 6 6 5 5 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 nan nan 2 2 1 0 1 2 3 3 3 3 2 2 2 2 1 1 2 3 3 3 2 3 3 3 4 5 5 5 6 6 5 5 4 4 4 4 5 4 4 4 4 3 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 3 4 4 5 5 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 6 6 5 5 5 6 7 7 7 7 7 6 6 5 4 5 6 5 4 4 4 5 6 6 6 6 6 6 7 7 7 6 5 4 1 -3 0 9 5 2 6 8 3 2 4 1 0 7 6 0 -2 4 6 4 4 1 2 5 9 5 2 0 0 4 9 7 11 10 8 6 5 6 6 7 3 -2 -1 5 14 16 4 -3 2 13 17 10 2 -4 -2 2 2 7 7 0 -4 -3 1 7 12 12 10 14 27 38 31 14 5 4 4 4 4 4 6 7 7 9 10 12 12 11 8 5 4 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 5 4 3 3 4 3 2 1 0 1 3 4 2 -1 -0 5 6 5 5 5 6 5 4 5 6 5 5 5 5 5 5 6 6 5 5 5 7 -2 -12 -9 -4 -6 -5 1 4 3 2 2 2 2 2 2 2 2 3 3 3 4 4 3 4 4 5 5 6 6 5 4 4 4 5 5 5 5 6 5 4 4 4 4 4 3 3 3 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 3 3 3 2 2 1 2 3 6 12 13 9 9 10 9 7 7 9 11 12 8 4 3 5 8 8 7 6 6 9 10 11 8 5 4 4 4 4 4 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 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 nan nan 5 4 2 1 1 2 3 3 3 3 2 2 2 2 2 1 1 2 3 3 2 2 2 2 3 3 4 5 6 6 6 5 5 4 3 3 4 4 4 4 4 4 4 5 4 4 3 4 4 4 4 4 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 5 5 5 5 6 6 5 5 5 4 4 4 5 6 6 6 6 6 6 6 7 8 8 8 8 7 6 5 4 5 6 5 5 4 4 5 6 6 6 6 7 7 7 8 7 6 5 4 2 -4 -5 2 5 3 4 2 1 11 12 8 2 5 10 1 -3 3 9 9 3 -1 -1 1 2 2 1 1 6 8 7 2 11 12 11 8 3 2 5 9 7 2 1 6 13 15 10 1 5 12 9 8 6 1 2 2 2 3 -0 -3 -2 1 6 12 14 14 18 30 39 35 19 7 4 4 4 4 4 5 6 7 8 8 10 11 13 12 8 6 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 5 4 4 3 3 4 3 2 1 1 2 4 4 2 3 6 6 5 5 5 4 5 4 4 4 4 5 4 4 4 5 6 6 6 5 5 5 6 4 -4 -10 -5 5 9 6 4 3 2 2 2 2 2 2 2 3 2 2 3 4 5 5 5 5 6 6 6 6 5 4 3 4 4 4 5 5 5 6 5 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 -1 -2 -2 -2 -2 0 3 7 7 7 8 9 9 9 8 9 12 12 8 7 7 10 12 12 13 14 13 10 7 5 5 4 3 3 3 4 5 5 6 5 5 5 5 5 4 5 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 5 4 4 5 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 nan nan nan nan 6 6 5 4 3 2 2 2 2 3 2 2 2 3 3 2 1 2 2 3 3 2 2 2 2 2 2 4 4 4 5 6 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 5 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 7 6 6 6 7 8 8 9 9 8 8 7 6 5 4 5 5 4 4 5 5 6 6 6 6 6 7 7 8 7 6 5 5 3 -0 -0 6 8 4 5 1 -1 14 15 11 6 2 7 5 0 3 9 11 5 2 1 -2 -4 -0 3 2 7 15 15 6 4 8 10 8 1 -1 4 7 4 2 5 7 6 5 7 12 17 11 3 6 10 11 8 3 3 3 1 1 4 7 12 15 17 20 31 40 36 21 9 5 4 4 4 5 5 5 7 7 7 8 10 12 13 12 9 6 5 5 5 5 5 4 4 4 3 4 5 5 6 6 5 5 4 3 3 3 4 4 3 2 1 2 3 4 4 2 5 7 5 3 4 5 4 4 4 3 3 4 5 4 4 4 5 6 6 6 6 6 6 6 6 3 -5 -4 7 13 9 3 2 2 2 2 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 6 5 4 3 3 4 4 4 5 5 5 5 5 4 4 3 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 2 2 1 -1 -4 -6 -7 -6 -7 -7 -3 -1 2 5 5 6 7 8 9 7 6 8 12 14 11 10 14 16 16 19 17 11 6 3 3 4 4 3 3 2 2 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 5 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
nan nan nan nan nan nan nan 4 5 5 6 5 5 4 3 3 2 2 2 2 3 3 2 1 2 3 4 4 3 2 3 3 3 3 4 3 3 3 4 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 5 5 5 4 5 5 5 5 5 4 5 5 5 5 6 6 7 7 6 6 7 7 8 9 9 9 8 8 8 6 5 5 5 5 4 4 4 5 6 6 6 7 7 7 7 8 7 6 5 5 5 3 5 9 9 5 5 6 3 8 6 7 8 4 4 7 6 5 8 7 2 5 8 2 -2 2 4 0 1 12 13 8 3 7 8 5 1 4 10 5 2 -2 4 5 8 5 -1 5 19 15 5 4 10 11 11 5 2 4 5 4 8 13 16 17 20 27 36 35 22 11 6 5 4 4 4 5 6 6 6 7 7 8 9 12 13 12 9 6 5 5 5 5 4 4 4 4 4 4 5 5 6 6 5 4 3 3 3 3 5 5 3 2 2 3 3 4 4 3 3 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 7 6 5 5 6 3 -4 -6 1 5 3 2 2 3 3 4 4 5 5 4 4 4 4 5 6 6 6 6 6 6 6 5 4 3 3 3 4 4 4 4 5 4 5 5 4 4 3 3 3 2 2 2 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 2 1 -0 -2 -5 -5 -4 -4 -3 -3 -2 1 3 3 4 6 5 5 7 8 6 8 8 9 10 11 13 14 12 11 10 7 5 4 3 4 4 4 4 2 -1 -1 1 4 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 6 5 5 5 4 4 4 5 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 nan
nan nan nan nan nan nan nan 3 4 4 5 6 6 6 5 4 3 3 2 2 3 3 2 2 2 4 4 4 4 3 3 4 4 5 5 4 3 2 3 4 4 3 3 3 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 2 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 6 7 7 6 6 6 7 7 8 8 9 9 9 9 8 7 6 5 4 5 5 4 4 5 6 7 7 7 7 7 8 8 7 6 5 5 5 5 4 5 7 6 7 8 9 9 5 3 4 5 2 7 9 6 8 3 -3 3 8 6 5 6 2 -1 -0 7 6 7 4 6 5 3 4 16 19 7 3 -2 -4 3 15 8 1 -1 2 5 4 2 4 6 8 5 2 5 6 3 6 13 17 18 23 33 35 24 12 7 6 5 4 4 5 5 6 6 6 7 7 8 10 12 13 11 8 6 5 5 4 4 4 3 3 4 4 4 5 6 6 5 4 3 3 3 3 4 5 5 3 2 3 3 3 4 4 3 2 5 7 6 5 5 4 4 4 4 4 4 5 6 6 6 5 5 5 5 6 5 5 4 5 6 7 2 -4 -3 1 2 1 2 2 4 5 6 6 6 5 5 5 5 6 6 6 7 7 6 5 5 5 4 4 3 3 3 4 4 4 5 5 4 4 5 5 4 4 3 3 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 3 2 0 -1 -1 -1 -0 1 1 2 3 3 3 4 4 4 4 6 6 4 6 7 7 9 7 2 2 6 7 7 5 5 7 8 7 6 5 5 5 5 6 5 -0 -6 -6 -2 3 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 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 4 3 4 4 4 5 6 6 5 4 4 3 3 3 3 3 3 3 4 5 4 4 4 4 4 5 5 6 5 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 3 4 4 3 4 4 4 4 4 4 4 3 4 3 3 4 4 4 3 4 4 4 3 3 3 4 4 4 4 5 4 5 5 4 5 5 4 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 6 6 7 7 7 6 6 7 7 8 8 9 9 10 10 10 8 6 5 4 5 5 4 4 5 6 7 8 8 8 8 8 8 7 6 5 6 6 5 4 3 5 7 8 9 10 11 8 8 8 5 3 6 6 5 7 4 1 0 1 7 6 6 4 3 5 5 5 7 6 5 3 1 6 20 19 12 9 4 -6 2 12 5 4 7 -3 -2 3 4 3 6 -0 1 3 5 4 3 6 12 16 18 25 33 28 15 8 7 5 4 4 4 5 6 6 7 7 7 7 8 10 11 11 10 7 5 4 4 4 4 4 3 3 4 4 4 5 5 5 4 3 3 3 4 4 4 5 4 3 2 3 2 3 4 4 3 3 6 13 13 9 7 5 4 5 5 4 4 5 5 6 5 5 5 4 3 3 3 3 4 5 5 6 7 4 -1 -0 1 1 1 2 5 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 4 4 3 3 3 3 4 4 5 5 4 5 5 5 4 5 4 4 5 4 4 3 3 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 3 3 2 -1 -3 0 4 4 3 3 2 2 4 4 4 4 4 4 5 5 5 6 7 11 10 4 0 1 3 3 3 4 4 6 7 7 7 6 6 6 8 10 8 1 -4 -6 -1 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 6 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 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 5 5 6 5 4 4 3 3 3 3 3 2 2 2 2 2 3 3 4 5 5 5 5 5 4 5 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 3 4 3 3 3 3 3 4 3 3 3 4 4 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 5 5 4 5 5 6 7 8 7 7 6 6 7 8 8 9 10 10 11 11 10 9 7 5 4 5 6 6 5 5 5 6 7 8 8 8 8 7 7 7 7 7 6 5 4 4 6 9 9 7 7 5 3 8 10 7 7 8 5 3 6 9 9 5 2 7 6 6 8 7 7 4 3 3 2 2 0 -3 7 14 12 13 13 6 -4 5 7 8 8 6 3 4 1 2 4 6 1 1 3 3 5 6 9 12 12 14 22 26 18 9 7 6 5 4 4 4 5 6 6 7 7 7 7 8 9 10 10 8 6 4 4 4 4 4 4 3 3 4 4 4 5 5 5 4 3 3 3 4 4 5 4 4 3 2 2 2 2 4 4 4 4 6 13 17 16 14 11 9 9 7 7 5 5 5 5 5 4 3 2 1 1 2 3 4 4 4 5 6 5 3 2 1 1 2 3 5 7 8 8 8 7 7 7 6 6 6 6 6 5 5 5 5 5 5 4 4 3 2 2 3 3 4 5 5 5 5 5 5 4 4 4 4 5 4 4 4 3 3 3 3 3 2 2 3 2 2 3 4 4 3 3 4 4 5 3 0 2 4 4 4 4 4 2 2 3 3 4 4 5 6 8 8 7 8 11 13 10 4 3 3 3 3 3 4 4 5 7 7 6 6 6 8 12 14 11 9 4 0 3 5 5 4 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 7 6 5 5 4 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 5 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 5 4 3 4 4 4 5 5 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 5 5 4 3 4 4 5 5 5 5 6 6 7 8 8 7 7 7 8 9 10 10 10 11 12 12 11 10 7 5 4 4 6 7 6 6 6 6 7 9 9 8 7 7 8 7 7 7 6 5 5 5 8 13 12 7 3 0 -1 3 6 3 2 4 5 4 8 10 10 8 8 5 6 8 8 6 5 4 3 1 1 3 0 -4 7 6 3 9 11 5 0 4 1 9 10 4 4 3 0 -1 3 5 6 6 6 7 7 6 6 4 3 8 18 19 12 7 6 5 5 4 4 5 5 6 7 7 7 7 8 8 9 9 8 7 5 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 3 3 4 4 5 4 4 4 3 3 2 2 3 3 3 3 3 4 6 12 16 17 16 16 14 13 11 11 10 9 7 5 4 3 1 0 1 3 7 7 7 7 7 7 9 10 6 2 2 2 4 6 7 8 8 8 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 3 2 2 1 2 3 4 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 3 2 3 2 1 1 1 1 2 2 2 2 3 5 7 6 5 5 4 5 5 5 5 4 5 5 5 5 7 10 12 12 10 8 7 9 8 6 4 4 4 4 3 4 4 4 5 6 6 7 6 7 10 14 13 10 9 6 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 7 6 4 4 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 5 5 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 3 3 4 5 5 5 5 4 4 4 4 3 3 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 6 6 7 8 8 8 8 8 9 10 11 11 11 12 13 13 12 10 8 5 4 4 6 7 7 6 6 7 7 9 9 9 8 7 8 7 7 7 6 5 5 9 15 18 14 8 1 -2 1 2 3 4 -1 -2 -1 3 6 5 3 5 5 3 7 9 8 6 4 6 10 6 2 6 3 -1 5 0 -2 4 7 5 0 -2 -3 4 5 2 2 4 8 5 -0 1 5 6 8 10 8 4 4 3 3 10 18 16 9 6 6 5 4 4 4 5 6 6 7 8 7 7 8 8 8 9 7 6 5 5 4 4 4 4 4 4 5 4 4 4 5 5 4 4 3 3 4 5 4 4 4 3 3 3 2 2 3 3 3 2 2 3 4 6 8 10 12 14 14 15 15 16 14 13 11 9 7 6 5 5 6 9 13 15 17 16 14 14 15 13 5 2 3 4 5 6 7 7 8 8 7 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 4 3 2 -2 -5 -4 1 4 4 5 6 6 6 5 5 4 4 4 5 5 5 5 5 4 3 2 2 1 -0 -1 -2 -3 -3 -2 -2 -2 -1 1 4 5 4 4 4 5 5 5 5 6 7 6 7 10 10 9 10 11 8 5 5 5 4 4 5 5 5 4 4 4 4 4 4 5 6 7 6 5 6 8 9 6 5 3 2 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 7 7 8 9 8 7 6 4 4 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 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 6 7 7 7 8 8 8 10 11 11 11 12 13 14 13 12 10 8 5 3 4 5 7 8 7 7 7 7 8 9 10 8 8 7 7 6 5 5 4 6 12 18 15 6 3 0 3 9 9 -1 3 4 7 2 1 2 1 3 6 6 4 7 9 9 8 4 2 5 8 6 5 5 5 2 3 3 4 6 4 -0 -4 2 2 2 4 3 5 12 10 -2 -3 4 8 7 9 7 4 6 8 11 17 19 13 8 7 6 5 4 4 4 5 6 6 7 8 7 7 7 7 8 8 7 6 6 5 5 5 4 4 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 5 6 8 10 12 11 10 11 11 11 12 13 14 15 18 20 19 19 19 19 20 20 19 11 3 2 3 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 6 6 5 4 4 3 -1 -6 -8 -5 1 3 4 4 5 6 5 5 4 4 5 5 5 5 5 4 4 3 2 1 0 -1 -2 -3 -5 -6 -6 -6 -4 -4 -4 0 2 2 2 3 3 3 5 5 5 6 6 8 9 7 5 6 7 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 6 6 5 5 5 6 7 7 3 1 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 7 7 8 8 9 9 8 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 nan nan 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 3 3 2 3 3 3 3 2 2 2 2 2 2 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 5 6 5 4 4 5 5 5 5 6 5 6 6 6 7 7 8 10 11 12 12 12 13 15 16 14 11 9 7 5 4 3 5 7 7 8 8 7 7 7 8 9 8 8 8 7 6 4 4 4 7 11 13 7 -1 -1 1 10 9 10 -1 1 11 15 8 1 0 5 9 10 8 4 4 8 10 10 6 2 -1 -0 2 3 6 8 5 11 12 9 8 6 3 3 7 3 6 6 5 6 8 8 3 1 4 7 8 8 7 7 7 9 16 21 17 11 9 7 5 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 4 5 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 6 8 9 13 16 18 19 19 18 14 12 12 13 16 17 15 7 3 3 4 5 6 6 5 4 4 5 4 4 3 2 0 1 3 1 1 3 6 7 7 7 7 6 5 6 5 5 4 1 -1 1 3 3 4 4 4 4 4 5 5 5 5 5 5 4 3 3 1 0 0 1 -0 -1 -2 -2 -2 -3 -2 -2 1 2 2 2 2 1 2 3 6 9 10 7 7 7 5 4 5 5 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 5 6 6 5 5 6 8 9 5 3 4 4 4 5 5 5 5 3 4 5 6 6 6 5 4 4 5 4 4 4 5 5 5 6 7 7 7 7 8 9 9 9 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 3 4 4 4 4 5 6 6 5 5 6 6 6 6 5 5 5 4 4 5 5 5 5 4 5 5 6 6 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 2 3 4 3 4 4 4 5 4 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 5 5 5 5 5 5 6 6 6 7 7 8 10 12 13 12 13 15 17 16 14 11 8 7 5 4 3 5 6 7 8 9 8 7 7 8 8 7 7 8 7 5 4 3 3 7 9 7 4 4 2 7 11 5 3 2 -2 15 16 10 5 2 5 6 8 11 9 4 5 7 8 7 6 1 -3 -2 4 6 7 8 13 14 9 7 6 4 6 7 5 7 7 9 8 7 8 9 4 3 5 8 9 8 6 4 9 18 18 12 9 9 7 5 4 4 4 5 5 6 7 7 7 7 6 7 7 7 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 6 8 10 11 11 8 7 8 9 10 9 9 10 9 5 4 4 5 6 6 6 5 4 3 4 3 2 1 -1 -5 -5 -3 -4 -8 -7 -1 5 7 7 7 6 6 7 9 11 12 12 11 6 4 5 5 4 4 4 4 4 4 4 4 3 3 1 0 -2 -4 -5 -5 -3 -3 -1 1 2 3 5 6 6 7 9 8 6 5 5 6 7 11 14 16 15 11 9 6 5 6 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 4 4 5 5 5 5 6 6 6 6 6 6 7 6 4 4 4 5 5 5 7 7 3 2 5 6 6 6 6 5 5 4 4 4 4 4 4 5 5 6 7 6 7 7 8 9 9 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 nan nan nan nan
nan nan nan nan nan 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 5 4 5 6 6 6 5 4 4 4 3 4 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 4 4 4 4 5 4 4 3 3 4 4 3 3 3 3 3 3 2 2 2 3 3 3 2 3 3 4 4 4 4 5 4 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 5 5 4 5 5 5 6 6 6 7 8 11 12 13 12 14 15 16 14 12 10 8 6 5 3 4 5 6 7 8 9 9 9 8 7 8 8 7 7 6 5 4 2 2 6 8 6 5 9 9 11 8 10 5 9 -0 6 11 14 14 7 2 0 3 12 9 3 2 6 9 7 7 4 2 4 5 4 4 6 10 11 5 2 4 3 2 5 7 8 9 13 7 7 8 10 6 3 6 9 9 8 4 3 12 19 15 10 9 8 6 5 4 4 4 5 5 6 7 7 7 6 6 6 7 7 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 2 3 3 3 3 3 4 4 4 4 5 6 8 10 10 10 9 8 7 5 5 5 5 6 6 6 6 5 5 4 4 4 3 2 2 -1 -1 -1 -6 -11 -10 -2 5 6 6 7 7 7 10 15 17 15 13 9 6 6 6 5 4 4 3 2 2 2 1 -1 -2 -2 -3 -7 -11 -14 -11 -6 -2 0 2 4 5 5 6 6 6 7 7 7 9 10 9 9 3 1 9 13 9 7 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 5 6 6 6 5 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 8 7 4 4 5 6 6 6 6 6 5 4 4 4 4 4 4 5 6 6 6 6 6 6 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 nan nan nan nan nan nan
nan nan nan nan nan 3 2 2 2 3 4 5 5 5 5 5 5 5 4 5 5 4 4 5 5 6 7 7 5 4 4 5 6 6 6 6 5 5 4 4 4 5 5 5 4 4 4 4 3 3 2 3 3 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 2 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 8 10 13 13 12 13 14 13 12 11 8 7 5 5 4 4 5 6 7 7 8 10 9 8 8 9 10 9 6 5 4 4 2 1 4 6 5 5 9 13 8 4 12 11 15 8 2 6 15 17 13 4 1 1 6 7 3 5 10 13 9 5 3 4 5 2 2 2 1 5 9 4 -0 3 4 1 3 7 9 8 7 4 6 8 9 6 4 7 9 8 8 6 7 14 19 13 10 9 7 6 5 4 4 4 5 6 6 6 7 6 6 6 7 7 6 6 6 6 6 5 5 5 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 3 4 5 7 8 10 10 9 9 7 7 6 5 5 5 5 6 6 6 6 6 6 5 5 6 8 11 11 8 7 6 -0 -7 -9 -3 1 2 4 6 8 9 12 16 14 9 8 7 6 6 5 4 3 1 -1 -4 -2 -2 -6 -8 -5 -5 -6 -7 -6 -2 1 2 3 4 5 4 3 1 2 2 4 5 6 8 11 12 8 2 -1 2 6 5 6 6 6 6 6 6 6 7 7 7 7 7 7 6 5 5 6 6 6 6 5 4 4 4 5 5 6 6 7 6 6 6 6 5 5 5 5 4 5 5 5 6 7 6 5 5 6 6 7 7 7 6 4 3 3 4 3 4 5 5 6 6 6 6 6 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 nan nan nan
nan nan nan nan 4 3 2 1 1 2 3 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 6 6 6 5 5 5 6 6 7 7 7 6 5 4 4 5 5 4 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 5 5 4 4 4 4 5 6 5 5 4 5 5 5 5 5 6 6 6 6 7 10 13 13 12 12 12 11 9 8 7 5 5 4 4 5 5 5 6 7 9 9 10 8 8 9 11 10 8 5 4 4 2 1 3 5 5 6 11 13 4 4 7 8 8 14 4 1 8 11 15 7 7 -0 -0 7 4 9 16 14 9 5 3 5 6 3 3 2 -0 3 7 6 2 3 4 4 3 6 9 9 3 0 4 8 8 4 4 10 11 7 6 8 9 13 17 12 9 8 6 6 5 4 4 5 5 6 6 6 6 6 6 6 7 6 6 5 6 5 5 5 5 4 4 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 3 3 3 2 2 2 2 2 2 2 2 3 3 4 5 6 7 7 8 9 8 7 7 6 6 5 6 5 5 5 6 6 6 7 6 6 6 7 8 10 11 9 9 9 6 0 -8 -12 -9 -8 -4 -1 4 9 9 11 10 8 7 6 4 4 2 0 -1 -3 -4 -6 -8 -6 -5 -4 -3 -1 2 4 6 6 7 5 5 5 4 3 3 1 2 4 6 8 9 9 8 12 12 12 8 2 4 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 6 5 6 6 6 6 5 4 3 4 4 5 6 7 6 6 5 5 6 6 5 5 4 5 4 5 5 6 5 5 5 5 5 6 8 8 7 5 4 4 4 4 4 5 5 6 7 7 7 6 6 6 7 7 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 nan nan nan 3 3 3 2 1 1 2 2 3 3 4 4 4 4 5 5 6 6 6 5 5 5 6 6 5 5 5 5 5 6 6 7 7 7 6 5 5 5 5 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 10 13 14 12 11 11 10 7 5 5 4 3 3 4 5 5 5 6 7 8 9 9 8 8 10 11 11 8 5 4 4 2 2 4 6 7 9 11 5 -1 4 4 6 2 10 4 -0 1 2 9 9 11 6 1 5 3 6 11 10 8 7 8 8 4 5 9 5 0 2 6 7 6 5 5 6 4 6 12 15 5 -2 0 6 4 4 9 13 9 4 4 8 7 11 14 10 10 8 6 5 5 4 4 5 6 6 6 6 6 6 7 7 7 7 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 2 2 2 2 3 3 4 4 4 5 5 6 6 6 7 7 7 7 7 6 6 6 5 6 5 5 5 5 6 6 6 5 5 5 4 5 6 6 5 6 7 4 1 -2 -7 -8 -8 -9 -8 -3 2 6 7 6 6 5 4 2 0 -2 -2 -3 -3 -2 -1 -2 -1 3 4 3 4 6 8 8 7 6 4 4 5 4 4 7 10 10 9 10 12 14 11 5 5 9 8 4 4 5 6 6 6 5 6 6 6 6 7 8 8 8 8 9 8 8 7 6 6 6 6 6 5 5 5 4 5 5 5 5 6 8 6 3 4 6 5 4 4 5 5 5 6 5 5 5 5 5 5 6 8 9 8 6 5 5 4 4 4 6 6 7 7 8 8 7 6 6 6 6 7 8 nan nan nan nan nan 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 2 2 2 1 1 1 2 2 3 3 3 4 5 5 6 6 7 7 6 5 6 5 5 5 6 5 6 5 5 5 6 7 6 6 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 2 2 1 1 2 2 2 2 2 2 2 3 3 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 6 7 7 7 8 12 15 16 15 13 11 9 5 4 4 3 2 3 4 4 5 5 6 6 7 9 9 8 8 10 11 10 8 6 5 3 2 3 4 5 7 9 8 0 -1 4 6 6 6 11 9 1 2 1 0 10 12 13 7 4 2 0 3 6 7 8 9 7 2 3 8 6 3 2 4 6 8 7 6 5 3 6 12 14 7 2 0 3 3 5 10 10 7 1 3 6 6 9 12 9 10 8 6 5 5 4 4 5 6 6 6 6 6 6 6 7 7 7 6 6 5 5 4 4 4 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 2 2 2 2 3 3 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 3 4 5 5 7 9 9 5 3 2 2 1 -1 -3 -8 -8 -4 0 3 4 3 3 3 1 0 3 3 2 3 4 5 6 7 6 5 6 6 6 6 6 4 2 3 6 8 10 13 16 17 16 13 10 10 11 8 4 5 5 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 9 9 8 7 7 5 5 5 6 6 6 6 6 5 5 5 4 5 8 10 5 2 5 4 3 4 5 6 7 8 7 6 6 6 6 5 6 7 8 8 7 6 5 5 5 5 6 7 7 7 7 8 7 7 6 5 5 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 nan 2 2 2 2 3 2 1 1 2 3 3 3 4 4 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 2 1 1 1 1 1 1 2 2 2 3 4 4 4 4 3 3 3 4 5 5 5 5 6 6 6 6 5 6 6 5 4 4 4 3 3 3 3 3 2 2 3 2 2 2 2 3 3 3 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 4 4 5 6 7 7 8 11 16 18 18 16 13 10 7 5 3 3 3 3 4 4 5 5 5 6 6 7 8 9 8 9 10 11 10 8 6 5 3 1 2 5 5 5 6 6 3 3 6 10 8 10 10 13 4 4 7 0 9 10 11 8 4 2 0 -0 4 7 9 7 3 -1 2 5 4 4 5 4 4 6 5 5 3 3 6 10 9 5 5 4 3 3 5 7 9 9 3 2 5 7 10 13 11 11 7 5 5 5 4 4 5 6 6 6 6 6 6 6 7 7 6 6 6 5 4 5 5 4 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 2 2 2 3 3 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 5 5 5 6 6 7 8 13 17 16 9 4 4 4 6 3 -3 -7 -10 -8 -4 -1 -1 0 2 5 6 7 7 6 5 6 6 6 6 6 5 5 5 5 5 6 5 5 5 10 13 14 13 13 14 13 10 7 6 8 8 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 7 8 8 8 8 7 6 5 5 6 6 6 7 6 5 5 5 4 4 6 10 9 4 4 4 3 4 5 7 8 9 9 8 7 6 6 5 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 7 6 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 nan nan nan nan
nan nan nan 2 2 2 3 4 5 4 3 2 2 3 2 3 3 4 4 4 4 4 5 5 5 6 6 5 5 5 6 7 6 6 5 4 4 3 2 2 2 3 3 4 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 3 2 1 1 1 1 1 2 2 3 4 4 4 4 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 6 7 8 8 12 20 23 22 19 15 10 8 6 5 4 4 4 4 5 5 5 5 5 6 6 6 7 8 8 9 10 11 10 8 7 5 2 0 2 4 6 6 3 4 4 4 8 10 7 6 4 7 3 3 8 5 6 3 4 9 0 -0 1 2 8 10 10 6 2 2 5 6 2 5 9 7 3 4 6 4 1 4 8 10 7 2 4 7 4 3 6 7 11 11 5 1 3 9 13 11 10 10 7 5 5 5 4 4 4 6 6 5 5 6 6 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 4 5 4 4 5 5 5 5 4 5 4 4 4 5 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 8 8 9 13 17 19 14 9 7 5 4 4 2 1 -3 -7 -7 -8 -8 -5 -2 -1 0 1 4 6 6 6 6 6 5 5 5 4 5 5 5 7 9 10 10 12 12 10 8 8 7 6 6 7 6 7 7 6 5 4 5 5 6 5 5 4 4 3 3 4 4 4 4 5 6 6 6 7 7 8 7 7 6 6 6 6 7 8 7 3 5 6 5 4 5 6 7 5 5 5 4 5 5 6 8 9 9 9 8 7 6 6 5 6 6 7 7 7 7 6 6 7 7 7 7 7 7 8 9 8 7 6 5 4 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 4 3 3 4 6 8 9 6 3 2 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 6 5 4 3 2 1 1 1 2 3 4 3 3 3 3 3 3 4 5 5 5 5 6 6 5 4 3 2 1 1 2 2 3 3 3 4 4 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 4 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 6 8 8 12 25 34 30 22 15 9 5 4 5 6 6 5 5 5 6 7 6 6 6 6 6 6 7 8 9 9 10 11 10 8 6 3 2 2 3 5 7 8 3 3 3 6 8 8 6 3 6 6 -1 2 8 8 5 0 -0 6 -1 -2 1 8 12 10 8 4 4 8 10 6 3 9 13 10 3 4 7 4 2 5 8 9 7 5 8 9 6 6 8 10 12 8 5 2 1 8 15 11 9 9 6 5 5 4 4 4 5 6 6 6 6 6 6 7 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 6 5 5 6 6 5 5 5 4 4 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 2 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 6 6 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 11 13 17 20 16 12 8 5 3 4 4 1 -3 -4 -4 -4 -4 -4 -4 -1 2 5 7 6 5 4 4 4 5 6 7 7 7 9 13 15 13 9 8 6 6 6 6 6 6 6 6 7 7 6 5 5 5 5 6 5 5 4 3 3 3 3 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 6 6 8 10 8 5 6 4 5 6 6 5 5 5 5 5 5 6 7 7 8 9 10 9 7 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 8 9 10 9 7 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 5 4 4 4 7 11 12 8 4 3 3 3 3 3 3 3 4 4 4 3 2 3 3 4 4 4 6 6 6 7 7 7 7 6 5 5 3 2 1 1 1 2 2 2 2 2 2 2 3 4 4 4 5 5 6 7 7 6 5 3 2 2 3 3 4 3 4 5 4 3 2 3 3 4 5 5 6 6 6 6 6 7 7 6 6 6 6 5 5 5 5 5 4 3 3 2 3 3 3 3 3 3 2 2 2 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 5 6 8 9 22 42 41 26 15 8 2 -0 2 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 7 4 1 3 4 2 7 10 12 7 3 5 8 5 7 7 7 12 9 2 2 5 7 5 2 0 0 2 1 2 9 11 5 1 1 5 9 10 7 5 10 14 9 5 7 8 5 3 6 8 8 7 6 11 11 7 10 10 11 11 7 5 4 1 6 13 15 10 8 6 5 5 4 4 4 4 5 6 6 5 5 6 6 6 5 5 4 4 5 5 5 5 6 6 6 7 7 7 6 6 6 6 6 6 5 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 2 3 3 4 2 2 2 3 3 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 6 5 6 6 6 6 7 6 6 6 6 6 6 6 7 9 15 18 17 17 15 12 9 9 9 6 5 6 4 2 1 2 2 3 4 5 5 5 4 3 3 5 7 10 13 13 14 16 17 14 10 6 6 6 6 6 5 5 6 6 6 7 6 6 6 6 6 6 5 5 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 8 7 6 6 6 8 10 7 5 4 4 5 6 6 6 5 5 6 5 6 7 8 8 9 10 9 8 6 5 5 5 5 5 5 5 5 6 6 6 6 7 6 6 6 7 8 10 9 8 7 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 6 6 5 4 6 11 12 8 4 3 4 4 3 2 2 3 4 4 4 3 3 2 2 2 3 4 5 5 6 7 7 7 7 7 7 6 5 4 3 2 2 2 1 1 1 1 2 2 3 3 4 4 4 5 6 6 7 7 7 5 4 3 4 4 3 4 5 4 3 2 2 2 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 5 4 4 4 5 5 6 6 6 5 5 5 5 4 5 7 9 14 33 44 27 11 7 3 -3 -3 2 4 5 5 5 5 6 7 7 7 7 7 8 8 8 8 8 9 10 10 9 8 5 2 1 3 4 2 4 8 11 11 7 6 5 2 4 3 4 7 5 3 1 2 3 4 4 1 -1 6 7 3 6 8 4 -2 -1 3 6 8 6 3 7 10 7 5 6 6 4 5 8 8 6 4 5 10 12 9 11 12 12 9 7 7 5 3 4 10 16 12 7 7 6 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 4 4 4 5 5 5 5 5 5 6 7 6 6 6 7 7 6 5 5 4 4 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 6 5 4 4 4 4 3 3 3 4 4 3 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 5 5 5 5 5 4 4 4 4 5 5 6 7 10 13 16 16 16 15 15 16 15 12 8 5 4 5 4 5 7 7 5 6 8 8 8 11 12 14 17 18 17 15 12 9 7 6 6 6 5 5 4 5 6 6 7 7 6 6 6 7 7 6 6 5 4 3 3 3 3 3 3 4 4 4 4 4 5 4 4 5 5 7 7 7 7 7 6 5 5 6 7 5 4 3 4 5 6 6 6 5 5 5 6 7 8 8 9 9 10 9 7 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 7 8 8 8 8 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 6 6 6 5 4 6 9 10 7 4 3 4 3 2 2 2 2 3 4 4 4 4 3 3 2 2 2 3 4 5 6 6 6 7 7 8 7 7 6 6 5 4 3 3 2 2 1 1 2 3 2 3 3 4 5 5 6 6 7 7 6 5 4 4 4 4 4 4 3 2 2 1 2 3 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 7 7 7 6 5 5 5 5 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 5 5 5 5 6 8 11 21 33 26 8 2 5 1 -6 -3 2 4 4 4 4 5 6 6 6 6 6 7 8 9 10 10 9 9 10 10 8 6 3 1 3 2 5 6 1 3 5 10 11 7 4 4 5 1 -1 3 5 6 4 1 1 4 5 1 1 7 9 4 5 9 8 4 5 4 5 6 2 2 2 5 6 5 6 4 1 6 12 9 3 0 1 7 12 12 12 14 12 6 5 6 6 6 4 9 16 13 7 7 6 6 5 4 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 4 5 5 4 5 5 5 6 6 6 7 7 6 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 5 5 4 4 5 5 4 4 4 5 4 2 2 2 2 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 6 8 10 13 15 16 16 17 15 13 12 11 10 10 8 10 12 13 11 12 14 16 17 18 17 14 13 14 11 8 6 7 6 5 5 5 5 4 4 4 5 6 6 6 6 5 6 7 8 6 5 5 4 3 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 6 5 5 7 7 5 4 3 4 4 5 5 5 5 5 5 6 6 7 8 9 10 11 10 8 6 5 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 7 8 8 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 6 6 5 4 4 5 6 7 5 4 3 3 2 3 3 3 3 3 4 4 5 5 4 3 2 2 2 3 3 4 4 5 6 6 6 7 7 6 6 7 6 6 6 5 5 3 2 2 2 2 2 2 3 3 4 5 5 6 7 7 7 6 5 4 4 4 4 3 2 2 1 2 2 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 6 6 7 8 8 8 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 5 5 5 6 7 9 15 25 27 14 2 1 3 -3 -7 -3 2 3 3 3 4 4 5 6 6 5 5 6 8 10 11 11 10 10 10 10 8 5 3 3 4 4 8 10 7 8 6 9 10 6 5 8 11 3 -0 3 6 10 8 3 1 5 6 4 5 6 6 6 7 9 13 14 14 10 5 2 -1 0 0 4 8 6 8 3 1 8 14 11 4 1 2 4 12 18 14 13 10 4 2 2 6 10 7 11 16 10 7 7 6 6 5 4 3 4 4 5 5 5 5 5 6 6 5 5 5 4 4 5 5 5 4 4 4 5 5 5 5 6 7 8 7 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 5 5 4 4 4 3 2 2 2 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 5 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 4 5 6 8 9 10 10 10 9 11 14 15 15 15 16 17 15 13 13 13 13 14 15 13 13 10 8 8 7 6 6 6 5 5 4 4 4 3 3 4 4 5 5 5 5 5 6 7 7 6 5 4 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 6 7 7 6 6 5 6 6 5 5 4 4 4 4 5 5 5 5 4 4 5 6 7 9 10 11 10 9 7 6 5 5 4 4 5 5 6 6 6 6 5 5 5 4 4 6 7 7 7 8 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 5 5 5 4 3 3 5 5 4 3 3 3 3 3 3 4 4 4 4 4 5 6 5 5 3 3 3 3 3 3 3 4 4 5 5 6 5 5 6 6 6 7 7 7 7 6 5 4 4 3 3 2 2 4 5 5 5 5 6 7 7 6 5 4 3 4 3 3 3 2 2 2 2 3 3 4 4 3 4 4 4 4 5 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 6 5 5 6 6 8 13 20 27 24 9 3 2 -4 -8 -8 -2 2 2 3 4 4 4 5 6 6 5 4 5 6 9 12 13 12 11 11 10 8 5 3 4 7 8 8 10 11 11 7 11 7 3 6 11 12 5 -0 0 5 8 7 4 3 7 8 8 8 4 2 6 7 8 13 17 14 10 7 3 -2 0 3 3 5 8 8 3 4 9 11 12 7 5 6 3 10 20 17 12 8 4 -0 -1 7 15 11 12 16 9 5 7 6 5 5 4 4 3 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 5 5 4 5 6 7 7 7 6 5 5 5 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 3 5 5 6 5 4 4 5 3 2 3 3 3 4 4 4 4 4 5 5 6 6 6 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 5 5 6 6 7 8 9 10 12 14 14 14 15 13 11 9 8 7 7 8 6 6 7 6 6 6 6 6 5 5 4 4 3 3 4 4 4 4 5 4 5 5 5 5 6 6 6 5 4 3 3 2 2 2 2 2 2 2 3 2 3 3 4 4 3 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 4 4 6 7 8 10 11 10 8 7 7 6 6 5 5 6 7 7 7 7 6 6 5 4 3 5 7 7 7 8 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 5 5 4 3 3 3 3 4 3 3 3 3 3 4 5 6 6 4 3 3 5 5 6 6 5 4 3 3 3 2 3 3 3 4 4 4 4 4 4 4 5 6 6 7 7 8 7 7 7 5 4 2 3 4 5 5 5 5 6 7 7 6 5 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 6 6 6 7 7 7 6 5 5 4 3 4 3 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 7 7 5 5 6 7 8 12 20 26 25 17 7 6 2 -9 -10 -5 0 2 3 3 4 4 4 5 5 5 5 5 5 6 9 12 15 14 13 12 8 6 5 5 4 5 7 8 10 8 2 4 10 5 0 5 8 9 8 7 6 6 3 3 3 4 7 8 11 9 6 5 5 5 6 11 14 8 4 11 8 -1 1 4 -0 3 8 7 7 10 8 6 9 8 8 10 8 11 21 21 12 6 2 -3 0 12 19 12 11 16 11 5 6 5 5 6 5 3 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 5 5 4 4 5 6 7 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 6 6 4 4 5 4 3 3 3 4 4 4 5 5 5 5 5 6 6 7 7 6 6 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 4 4 5 5 5 5 5 6 8 9 10 10 10 9 8 7 6 6 6 5 6 6 6 6 6 5 6 5 6 6 5 5 3 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 2 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 3 3 3 3 4 5 7 8 10 10 9 8 7 7 7 7 6 6 7 7 8 8 7 6 5 4 4 5 7 8 8 7 7 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 5 4 4 4 4 3 3 3 2 2 3 3 3 3 4 5 6 6 4 3 3 3 5 6 6 6 5 4 3 3 3 2 2 3 3 2 2 2 2 3 3 4 4 5 6 7 8 9 8 8 7 5 4 4 5 5 5 5 6 7 7 7 6 5 5 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 6 7 7 6 6 5 4 4 3 3 4 5 5 5 6 5 5 5 5 5 5 5 5 6 5 6 7 7 7 6 5 5 7 9 12 19 27 27 18 7 3 4 -3 -11 -7 -1 1 2 3 3 4 4 4 5 5 5 5 5 5 6 10 13 16 18 16 12 7 5 6 8 9 4 2 9 12 2 -4 5 8 7 -1 -2 3 5 10 15 14 11 1 -2 1 4 8 11 11 9 9 9 6 3 3 7 9 4 2 10 7 2 2 -1 -0 9 10 6 9 9 3 3 2 2 12 19 17 13 21 24 13 3 -2 -2 4 15 17 11 11 18 12 5 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 5 5 4 5 5 4 4 4 5 5 5 5 4 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 4 4 3 3 5 6 6 5 4 4 5 4 3 4 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 5 6 7 7 7 7 6 6 5 5 6 6 5 6 6 6 6 5 5 5 5 5 5 5 4 3 2 3 3 4 4 4 5 4 5 5 5 4 4 4 4 4 4 3 2 1 1 2 3 4 4 4 4 4 5 4 4 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 5 7 9 10 9 9 8 8 8 8 7 7 7 7 8 8 8 7 6 6 5 7 7 8 8 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 6 5 5 4 4 3 3 3 2 2 2 3 3 4 4 4 5 5 4 3 2 2 3 4 5 6 5 4 4 3 3 3 2 3 2 2 2 2 2 2 3 3 4 4 4 5 6 7 8 8 8 7 6 7 6 5 4 5 5 6 6 6 6 6 6 6 5 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 6 6 6 7 7 6 5 5 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 7 8 13 22 30 28 19 10 1 2 -2 -11 -11 -4 1 2 2 3 3 4 5 5 5 5 5 5 5 5 7 10 15 19 21 17 11 7 4 4 8 13 9 2 1 3 0 0 6 8 9 3 -6 -2 1 9 18 17 8 -2 -1 1 4 11 13 10 8 9 9 8 4 1 3 3 1 3 5 1 0 1 -4 2 18 15 5 6 3 -3 3 1 -1 8 17 18 17 26 28 13 2 -3 -1 8 16 13 9 13 19 13 5 6 6 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 6 6 6 5 5 4 4 5 4 4 5 5 5 4 4 3 3 4 5 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 5 5 4 3 2 3 4 5 5 4 4 5 5 5 4 3 2 1 -1 -1 2 3 2 2 2 2 4 4 4 4 5 5 6 6 5 4 3 4 6 6 6 4 3 3 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 6 8 9 10 10 9 8 8 8 8 8 7 7 7 8 8 9 8 7 7 7 8 8 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 8 7 6 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 2 1 1 1 2 3 4 5 4 4 3 3 2 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 5 6 6 8 8 8 8 6 4 4 4 4 5 5 6 6 7 7 6 5 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 4 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 7 7 7 9 13 23 34 34 20 8 5 4 8 -5 -15 -9 -2 2 2 3 3 4 4 5 5 5 4 5 5 5 5 7 12 18 23 23 15 8 6 5 3 5 8 7 7 10 15 13 5 2 5 10 8 -1 -0 1 5 16 13 -1 -1 3 3 5 12 11 9 7 3 6 10 8 4 1 -1 -1 2 0 -0 5 4 -3 2 17 15 3 2 2 -1 4 1 -2 2 10 13 22 33 29 13 2 -2 0 9 13 11 9 12 19 14 4 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 5 4 4 5 4 4 3 3 4 5 5 5 5 4 4 4 4 5 5 6 5 5 5 4 4 3 4 5 4 4 4 4 5 6 6 6 6 6 6 6 6 7 7 7 6 5 6 5 5 4 3 1 1 1 1 1 1 1 2 2 3 3 4 4 4 4 3 4 3 3 4 4 4 5 5 5 5 5 5 6 6 5 5 6 5 5 5 4 4 5 5 5 4 3 2 3 5 6 5 4 4 5 5 5 4 2 1 -1 -3 -5 -1 3 3 4 4 5 5 5 5 5 4 4 6 7 6 4 3 5 7 8 8 6 4 2 3 4 5 5 5 6 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 3 4 5 7 8 9 9 8 8 8 8 8 8 8 8 7 8 8 9 9 8 9 8 8 8 8 6 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 11 10 9 7 6 5 4 4 4 3 3 3 3 3 3 4 4 3 3 3 2 1 1 1 2 3 3 4 4 3 3 3 3 3 4 4 4 4 3 3 4 4 5 5 5 4 4 4 4 5 6 7 7 6 5 3 3 3 4 4 5 5 5 6 6 6 6 4 4 4 4 4 3 3 4 5 5 4 4 3 3 3 3 4 5 5 5 4 4 4 4 4 3 4 4 6 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 6 7 8 8 7 7 7 9 13 21 31 35 26 13 2 1 4 -2 -14 -14 -5 -0 2 3 3 3 4 5 5 5 5 5 5 5 6 6 8 14 22 24 18 10 4 5 5 4 5 6 3 2 10 20 17 5 -1 4 10 11 7 8 6 5 10 8 -3 -3 4 7 7 7 7 7 4 -0 4 14 14 7 3 3 4 5 1 2 11 10 0 0 11 10 -1 -4 1 6 11 -1 -1 6 10 10 26 38 26 8 0 -0 4 11 13 10 8 11 18 15 5 5 7 5 5 5 4 4 5 6 5 4 4 5 5 5 4 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 4 3 1 0 0 1 1 1 1 2 2 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 5 3 3 4 6 7 6 4 3 4 4 4 3 3 3 1 -1 -1 0 3 3 4 5 6 6 6 5 5 4 4 7 8 7 4 1 3 6 8 8 8 6 1 1 5 6 6 5 5 5 4 4 5 6 5 5 5 5 5 6 6 6 6 5 4 4 4 5 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 9 8 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 11 12 12 11 9 8 7 6 5 5 5 4 3 4 3 4 4 4 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 5 5 5 5 4 4 3 3 4 5 6 6 5 4 3 3 4 4 4 5 4 3 3 3 3 3 4 4 4 4 5 5 6 5 5 4 3 3 3 3 3 4 5 5 5 5 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 4 5 6 6 7 7 8 8 7 7 10 14 18 23 26 25 16 6 0 -3 -8 -25 -22 -9 -1 2 3 4 4 4 5 5 5 5 5 5 5 6 6 7 10 18 23 17 9 4 1 2 8 8 5 9 10 4 -0 1 5 3 3 6 9 15 18 16 9 7 7 4 -1 -1 6 8 4 2 4 6 2 -3 2 12 14 9 7 10 14 11 5 6 12 9 1 0 8 9 -1 -8 -4 10 19 4 -0 6 3 7 27 36 21 5 -1 0 7 13 14 9 7 13 18 13 5 6 7 5 5 5 4 4 5 5 5 5 5 4 4 4 3 3 4 4 5 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 4 4 4 4 3 4 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 5 4 4 4 4 4 5 6 6 7 7 7 7 6 6 6 6 6 5 4 4 4 3 2 0 -0 1 2 3 4 3 3 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 5 5 5 6 5 5 5 6 7 7 5 4 3 5 7 7 6 5 4 3 3 3 2 4 4 4 4 3 3 4 4 5 5 6 6 6 6 5 4 5 9 11 8 4 -1 -1 4 5 6 7 8 5 1 4 7 8 8 6 6 6 5 5 5 5 6 5 6 5 6 6 6 6 6 5 4 4 4 5 6 7 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 9 9 8 7 7 7 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 8 11 12 13 12 11 11 11 10 9 9 8 6 5 5 4 3 4 3 3 4 3 3 2 3 3 3 4 4 5 5 5 6 6 6 6 5 4 4 4 3 4 5 6 6 7 6 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 5 4 4 3 3 4 4 3 4 5 5 5 5 4 4 4 4 5 5 6 5 5 5 5 4 4 3 4 4 5 5 5 5 5 5 4 4 4 5 4 5 5 5 5 4 4 4 4 5 4 5 5 4 5 6 6 7 8 10 8 9 11 15 18 18 17 14 11 4 -1 -0 -4 -14 -22 -13 -2 2 3 5 5 5 5 5 5 5 5 5 6 5 6 7 9 13 20 20 12 3 -1 2 2 9 10 5 9 11 5 2 1 1 3 7 7 7 16 24 18 9 7 8 7 2 2 6 5 5 4 6 8 3 -4 -0 8 13 11 9 10 12 11 4 4 10 8 4 2 7 15 9 -0 -4 8 17 11 -2 1 3 18 32 28 13 2 -2 2 9 13 12 7 7 14 18 11 5 6 7 6 5 5 4 4 5 5 5 5 5 4 4 3 3 2 3 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 6 6 6 7 7 6 6 6 5 5 5 4 3 2 2 2 1 0 0 3 6 7 7 5 4 5 7 6 6 6 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 3 3 4 4 5 5 5 5 6 5 5 6 7 7 6 4 4 5 6 7 6 5 4 3 2 1 1 2 4 9 9 6 4 4 5 5 6 6 5 5 5 4 4 6 9 10 9 8 4 0 3 3 3 4 7 8 4 3 5 7 8 9 9 8 7 7 6 5 6 6 6 6 6 6 6 7 6 6 5 5 4 4 5 6 6 7 7 8 8 8 9 8 6 6 5 5 5 5 5 7 7 8 10 9 9 8 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 5 7 8 10 11 11 12 13 12 12 13 12 11 9 7 5 4 4 4 3 4 3 4 4 4 4 4 5 6 6 6 6 6 6 6 5 5 4 4 3 4 4 5 5 6 7 7 6 5 4 4 2 2 2 2 3 2 3 3 3 3 3 2 2 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 5 6 7 7 10 13 10 14 17 16 16 12 10 6 1 -1 2 5 1 -2 -1 0 2 3 5 6 6 6 5 6 6 6 6 6 6 7 7 9 12 17 21 17 8 1 -1 5 4 4 6 6 9 7 1 1 3 3 4 8 5 4 13 19 14 7 6 6 5 3 1 2 4 8 6 6 11 7 -1 -2 6 14 15 8 2 5 9 6 3 7 12 10 4 6 14 15 11 3 4 4 12 8 13 17 26 28 20 7 -0 -1 3 9 11 9 6 7 15 19 12 4 6 7 6 5 6 5 4 5 5 5 5 5 4 4 3 3 3 3 4 5 5 4 5 5 5 5 5 4 5 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 5 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 3 4 4 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 4 2 1 1 1 1 1 2 4 7 10 9 7 6 5 5 6 6 5 5 5 4 4 5 5 5 4 4 4 4 3 4 4 3 3 3 4 4 4 4 5 5 5 6 6 6 7 7 6 4 4 4 5 5 5 5 4 4 2 0 -1 -1 1 6 11 9 5 5 6 6 6 5 5 5 5 4 4 6 8 8 7 10 11 6 4 3 3 3 4 6 5 4 4 4 5 8 9 9 9 9 7 6 6 6 7 7 7 6 6 6 6 6 6 5 5 4 4 4 4 5 6 7 8 8 9 9 8 7 5 5 4 3 4 5 6 7 9 9 9 9 7 8 8 7 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 5 6 6 7 9 10 11 13 13 13 11 10 9 8 6 6 6 5 5 6 6 6 6 6 7 7 6 6 6 6 5 5 5 5 4 4 3 3 4 4 5 6 7 7 7 6 5 5 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 12 15 15 17 15 9 8 9 10 7 7 14 18 16 11 8 6 4 5 6 7 7 7 7 6 6 6 7 7 7 7 9 11 13 16 20 21 14 7 5 6 7 3 -0 3 5 6 9 13 11 4 0 2 3 -1 2 9 10 6 5 4 3 3 4 3 2 6 8 5 4 10 8 -0 -5 5 17 14 3 -0 3 6 4 2 5 11 10 6 6 7 9 11 11 5 -8 3 18 25 24 21 17 8 1 1 -0 1 6 9 8 6 8 16 19 11 4 6 7 6 6 6 4 4 5 5 5 5 5 5 4 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 5 5 5 5 4 4 4 3 3 4 5 5 4 5 5 4 4 5 4 4 5 5 5 6 5 5 5 6 5 6 5 5 4 3 2 1 1 2 1 1 2 5 7 9 9 7 5 5 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 5 6 6 6 6 6 6 5 4 3 3 4 5 5 5 5 4 3 2 0 1 2 1 4 7 6 5 6 6 6 6 5 6 6 5 5 5 6 5 5 7 8 7 5 4 4 4 4 5 4 4 4 4 4 5 6 7 7 7 7 6 7 7 7 8 7 7 7 7 7 6 6 6 5 4 3 3 3 4 4 5 6 7 7 9 9 9 8 6 5 4 4 4 5 6 6 8 8 9 8 7 9 10 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 2 2 3 4 6 7 8 10 11 11 11 12 12 10 10 10 10 9 8 8 8 8 8 8 7 7 6 5 5 5 6 6 5 5 4 5 4 4 4 5 5 6 6 6 7 7 6 6 5 5 5 5 5 4 4 4 3 3 2 3 2 2 3 2 2 3 3 3 4 4 4 3 3 4 4 3 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 7 9 15 20 19 14 8 5 7 9 12 12 20 32 27 17 9 6 5 5 7 8 8 8 8 7 7 6 6 7 8 8 10 13 15 16 16 18 17 11 7 8 10 10 4 1 3 4 4 7 15 22 11 2 4 -0 -4 5 11 6 2 1 0 3 11 12 6 3 6 6 6 6 8 9 1 -5 6 15 8 1 6 9 7 -1 -1 7 9 7 8 7 4 3 8 14 9 -11 -9 13 24 23 14 5 -3 -3 1 -1 1 7 9 8 7 9 14 19 12 3 5 7 7 6 5 4 4 4 5 5 5 5 4 4 3 4 3 3 4 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 6 6 5 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 1 2 2 4 6 8 8 6 5 4 4 5 5 5 4 4 4 4 4 5 5 6 6 5 5 5 6 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 4 3 4 4 5 5 5 5 5 6 6 5 5 6 3 1 3 5 5 5 5 5 6 7 6 6 6 5 5 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 7 7 7 8 7 7 7 7 7 6 6 5 4 4 3 3 3 4 4 5 6 7 8 9 9 8 7 6 5 5 5 6 6 6 7 7 7 7 8 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 1 1 1 1 2 2 2 3 4 5 7 8 9 11 13 13 13 14 14 12 9 9 9 10 11 10 8 6 5 4 4 5 5 6 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 7 6 5 5 5 4 3 3 3 3 4 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 5 5 6 5 5 5 4 5 5 5 5 4 5 4 4 5 5 5 5 5 5 4 4 4 4 4 3 4 4 5 5 5 5 8 10 15 21 22 16 8 5 6 8 9 11 14 19 23 11 3 1 3 6 7 8 9 9 8 8 7 6 6 7 9 9 9 12 16 16 14 13 13 13 9 3 4 6 8 6 8 7 4 5 3 10 18 11 4 11 -1 -2 12 12 4 3 2 -1 6 17 13 4 3 5 8 12 11 7 6 1 1 10 10 3 4 16 17 9 2 4 8 9 11 13 8 3 5 8 13 9 -2 -6 9 26 21 9 -1 -6 -0 3 1 4 9 8 7 8 9 13 20 15 5 5 7 7 6 5 4 4 4 5 5 5 5 5 5 4 4 3 4 4 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 3 3 2 2 1 1 2 3 3 5 6 5 5 4 4 4 5 5 5 5 4 3 3 3 4 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 4 4 5 5 6 6 5 5 5 7 9 9 8 10 9 5 3 4 5 5 5 6 7 7 7 6 7 6 5 4 4 4 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 3 3 4 5 6 6 6 6 6 7 7 8 8 8 8 7 7 7 6 5 5 3 3 3 3 4 4 5 6 7 8 8 8 7 6 6 5 5 5 6 7 7 7 7 7 10 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 1 1 1 1 1 1 1 2 2 3 4 5 6 9 11 13 14 14 10 8 8 9 11 12 11 9 8 5 4 3 4 5 5 4 4 6 7 7 6 6 5 5 5 4 4 4 4 4 5 6 6 7 9 9 8 7 7 6 5 4 3 4 4 5 4 4 4 5 5 5 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 5 4 5 5 5 4 3 3 4 4 4 4 5 5 11 18 21 21 16 9 5 5 7 8 9 9 9 4 -4 -8 -4 2 6 8 8 8 8 8 7 7 6 7 7 8 9 9 10 13 17 15 12 10 9 11 8 3 1 2 2 6 12 10 8 6 1 1 7 8 11 14 -2 2 13 8 4 7 6 3 12 16 7 2 5 5 10 13 9 4 3 -0 2 10 7 1 8 20 17 9 6 8 6 7 15 15 7 5 6 5 8 7 13 10 22 31 18 2 -8 -6 7 10 9 10 10 8 7 8 9 14 20 16 7 5 7 6 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 3 4 4 4 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 3 4 4 4 5 5 5 4 4 5 5 5 4 4 4 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 6 6 6 6 5 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 6 6 7 6 5 5 6 9 11 8 9 11 6 4 5 5 5 5 6 7 7 7 7 7 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 5 6 6 5 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 6 4 3 3 4 4 4 4 5 6 6 7 6 5 5 5 6 5 6 7 7 8 8 7 8 12 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 2 2 2 1 0 1 1 1 1 1 2 2 4 6 9 11 10 7 6 6 8 11 12 12 11 11 10 7 5 3 4 4 4 4 6 8 8 8 7 6 6 5 5 4 4 3 3 4 4 5 6 6 7 8 8 8 7 6 5 4 5 5 5 5 5 6 6 6 5 4 3 3 3 3 3 4 3 4 4 4 4 4 5 5 5 5 5 6 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 4 5 5 5 4 4 3 4 4 4 5 5 5 6 11 20 21 14 8 6 5 6 7 8 8 6 1 -7 -15 -8 2 8 9 9 8 7 7 7 6 6 7 7 8 9 9 10 11 14 15 14 11 7 5 7 6 5 4 3 2 5 8 9 9 7 -1 -4 -3 2 18 14 0 4 5 3 7 16 10 4 9 7 2 5 7 6 8 9 4 3 4 3 3 9 7 5 12 17 13 6 4 1 -1 5 14 11 5 7 9 5 -2 5 23 23 33 33 15 -7 -20 -6 20 26 22 17 12 9 8 8 10 13 18 17 8 4 6 6 5 4 4 4 4 4 4 4 5 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 5 5 5 4 4 5 5 5 5 4 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 5 4 3 3 3 3 3 3 2 1 1 2 2 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 6 6 6 4 3 2 1 1 0 0 1 2 3 4 5 5 5 5 5 4 4 5 5 5 5 6 5 4 5 8 11 7 5 6 5 4 5 5 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 5 6 6 7 6 6 6 6 7 8 8 7 7 7 8 7 6 5 5 5 4 4 4 4 5 5 6 5 4 4 4 5 5 5 7 8 9 9 8 7 8 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 3 3 2 2 1 1 1 0 0 -0 0 1 1 2 5 7 7 6 5 4 5 7 9 9 10 12 13 11 8 6 5 5 5 6 6 8 8 8 7 7 6 6 6 5 4 4 3 3 3 4 4 4 4 5 6 6 6 6 5 4 4 4 5 5 5 5 6 6 6 5 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 9 18 20 12 8 7 7 8 8 8 6 3 -2 -6 -5 3 8 10 10 8 7 7 6 6 6 6 7 7 9 10 10 12 15 17 15 13 12 6 3 4 4 3 6 8 9 9 8 9 8 6 5 6 -1 0 12 6 0 4 3 3 13 25 14 3 0 -1 5 13 10 6 6 4 -0 1 3 5 9 12 10 12 12 12 10 0 -6 -7 -3 6 9 3 2 7 10 6 -1 8 19 26 36 29 11 -13 -23 1 29 36 29 20 12 8 9 9 9 11 15 17 10 4 6 7 6 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 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 5 4 4 4 4 4 4 3 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 4 4 3 1 1 1 2 3 4 4 4 3 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 6 5 4 2 2 2 -1 -3 -2 -2 -0 3 5 5 5 5 4 4 4 4 4 4 4 4 4 4 6 8 11 10 6 3 5 5 5 5 5 5 5 6 7 7 7 6 6 6 5 5 5 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 6 6 6 6 6 5 4 5 6 7 7 7 6 6 7 8 8 7 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 6 7 8 9 8 7 6 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 3 2 2 2 2 1 1 1 0 0 1 0 0 1 2 4 6 6 5 4 3 4 5 6 7 8 11 12 10 8 6 6 6 6 7 9 8 8 7 7 7 7 7 6 5 4 4 3 3 4 4 3 3 3 4 5 5 5 5 5 4 4 4 4 4 5 6 6 7 6 4 3 2 3 3 3 3 4 4 4 4 4 4 4 5 5 6 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 7 7 7 12 18 15 11 9 8 9 9 9 4 1 1 3 6 9 9 8 7 6 6 6 6 6 7 7 7 9 10 12 16 20 21 19 14 11 11 8 8 10 9 4 3 5 9 10 9 8 4 4 12 18 14 7 2 -5 -3 4 9 5 15 25 10 1 -2 2 13 14 8 6 4 0 -2 -0 2 6 13 14 13 10 7 8 8 4 0 1 -0 -2 -6 -7 1 9 8 1 -1 6 9 22 36 27 10 -10 -12 8 24 27 23 17 10 8 8 9 9 9 15 19 11 4 6 7 6 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 5 5 6 6 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 5 5 5 5 4 4 3 3 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 3 3 4 4 3 2 1 1 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 4 5 6 3 -2 -3 -4 -4 -2 2 5 5 5 4 4 5 5 4 4 4 3 3 4 6 9 12 14 8 5 5 5 5 5 5 5 5 7 8 7 6 6 7 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 4 3 3 3 4 4 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 7 8 8 7 7 7 7 7 6 6 6 5 5 6 6 5 4 3 4 5 6 7 8 8 6 6 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 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 3 5 6 6 5 4 3 3 3 4 6 8 9 8 7 7 7 7 9 9 10 10 8 8 8 8 8 7 6 5 4 4 5 6 6 5 4 3 3 4 5 6 5 5 5 4 4 4 4 5 6 6 7 6 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 4 6 7 7 7 6 6 18 22 14 9 9 10 9 5 0 1 4 7 8 7 6 5 4 4 4 5 5 6 7 8 11 11 13 18 22 24 21 16 11 9 9 9 10 14 14 11 2 5 8 8 5 2 1 4 9 10 7 6 10 8 3 4 7 4 11 11 4 2 5 9 11 8 8 6 1 -1 0 4 7 9 12 11 11 4 3 4 3 -3 -5 8 19 11 -6 -7 0 4 -1 -4 -1 3 1 16 36 31 10 -5 -3 10 17 16 14 11 8 7 7 7 7 11 16 14 6 5 7 7 6 5 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 3 3 4 5 5 5 6 5 6 5 5 5 5 5 5 5 4 4 4 3 4 4 4 5 4 3 4 4 3 3 3 4 4 4 3 2 2 2 2 2 2 2 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 5 8 8 4 1 1 -2 -2 2 5 5 4 5 5 5 5 5 4 4 3 2 3 6 9 11 11 7 5 5 5 5 5 5 5 6 7 8 7 6 7 8 8 8 7 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 2 2 3 4 5 5 7 7 6 5 5 5 6 5 6 6 6 7 7 7 7 7 7 7 8 7 7 6 6 5 6 6 6 6 4 3 3 3 3 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 3 4 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 3 5 6 6 5 3 3 2 2 3 4 5 5 6 7 7 7 8 10 11 11 10 10 10 10 9 9 9 8 8 8 8 9 8 7 6 4 4 4 5 6 6 6 5 5 5 4 4 5 5 6 7 7 6 6 5 5 4 3 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 3 3 4 5 5 5 5 5 4 4 5 4 5 5 5 5 5 5 4 5 7 8 8 6 4 6 21 24 14 10 11 11 8 1 -2 1 3 4 4 4 4 3 2 3 2 3 4 5 7 12 16 13 17 22 20 19 17 13 10 9 8 6 5 4 8 11 6 2 4 8 5 0 1 4 0 -4 -1 5 15 21 14 10 7 3 3 1 3 7 14 12 9 10 11 3 -3 -1 3 7 10 8 4 3 3 1 2 1 -9 -20 -16 4 25 22 4 -2 2 -2 -8 -3 1 -1 1 16 33 32 13 0 5 14 15 12 10 8 7 7 7 7 7 10 12 7 5 9 11 9 7 6 4 4 4 4 3 4 4 4 5 5 6 6 5 6 5 5 5 5 6 6 5 5 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 5 5 5 5 5 4 4 5 5 4 3 4 4 4 4 4 5 4 3 2 4 4 5 5 6 6 6 5 5 6 6 5 5 5 5 5 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 4 4 2 2 1 1 1 1 2 2 3 3 3 2 2 2 2 3 4 5 5 4 4 4 4 3 3 3 2 2 5 6 7 6 6 6 4 3 3 5 5 4 5 5 5 5 5 5 4 4 5 4 5 7 8 7 5 5 5 4 4 4 4 5 6 8 8 6 6 8 9 10 10 9 7 6 5 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 4 3 3 2 3 4 5 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 7 6 6 5 5 6 7 7 6 5 4 2 2 3 5 6 6 6 6 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 5 5 5 4 4 4 3 3 3 3 2 3 2 2 1 1 2 3 4 3 3 3 2 1 1 2 2 3 4 5 6 6 6 7 8 10 10 11 11 11 11 11 12 12 12 12 11 12 11 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 7 6 5 4 4 3 4 4 4 3 3 4 4 5 4 4 5 5 6 5 4 3 3 3 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 7 8 9 7 5 2 8 23 24 13 11 12 11 9 3 -2 -2 -0 0 2 3 3 3 2 2 2 2 3 5 13 21 16 12 19 18 12 14 16 12 9 8 7 4 -1 -4 3 7 8 2 3 8 8 2 5 8 3 7 7 -1 1 11 13 14 11 3 1 2 1 8 12 6 9 15 10 1 -1 2 5 8 8 5 -1 -3 -3 1 4 2 -7 -10 4 7 5 4 2 2 6 1 -5 -2 0 -0 8 19 24 22 14 9 12 16 14 10 8 6 7 7 7 6 6 8 8 6 6 10 17 13 7 6 5 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 3 3 3 4 4 5 5 4 4 3 3 4 4 4 5 6 5 5 6 6 6 6 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 1 0 1 2 2 3 3 2 1 1 2 3 5 5 5 5 5 5 4 3 3 3 2 3 5 6 6 6 7 7 7 4 1 3 5 5 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 3 5 7 9 8 6 7 7 8 9 9 9 8 6 5 4 4 3 3 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 5 5 6 6 5 5 5 4 5 5 5 5 5 5 5 6 7 8 8 7 7 7 7 6 5 5 6 6 6 7 8 6 4 3 2 4 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 5 6 6 7 7 7 6 6 6 5 5 5 5 4 4 4 3 3 2 1 1 1 1 2 3 3 1 1 1 1 2 3 3 4 4 3 3 4 5 6 8 9 9 9 10 10 11 12 12 11 11 11 13 15 14 11 9 7 6 5 4 4 5 5 5 6 6 6 6 6 6 8 8 8 7 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 4 3 3 3 4 4 4 5 5 5 5 4 5 5 5 5 6 6 5 6 8 9 9 6 3 2 11 26 24 13 10 11 10 9 2 -2 -4 -1 3 5 5 4 3 1 1 1 1 3 11 23 24 13 12 16 11 10 15 17 14 7 4 2 -1 -2 2 4 3 7 9 5 7 7 1 7 6 9 22 11 -2 2 6 6 11 10 5 7 6 2 5 4 -2 0 8 4 4 5 3 3 6 8 6 4 1 0 4 7 7 5 6 16 13 7 3 5 7 5 1 -1 2 4 8 16 19 13 8 10 14 18 16 12 9 7 5 6 7 6 5 6 8 7 6 7 10 17 16 8 7 5 4 4 4 4 3 3 4 4 5 5 5 6 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 3 3 3 4 4 4 5 5 4 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 6 5 4 4 4 4 4 5 4 5 4 4 4 4 5 4 4 3 2 2 2 1 1 1 2 3 2 2 1 1 1 2 3 5 5 6 5 5 5 5 4 3 3 3 2 3 6 7 6 7 7 8 4 -1 -2 3 5 5 5 5 5 5 5 5 4 3 3 3 4 4 3 4 5 6 6 5 3 2 5 7 7 7 6 6 5 5 6 6 6 5 5 4 4 4 4 4 4 5 4 4 4 4 4 3 3 4 5 5 5 5 6 6 6 6 4 4 6 6 6 5 5 5 4 4 5 4 4 4 4 5 5 6 7 7 7 7 7 7 6 6 5 5 5 5 7 8 8 7 5 3 3 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 5 5 6 6 7 7 7 7 7 7 7 8 7 7 5 5 5 4 3 3 1 0 0 1 2 3 3 2 1 1 2 2 3 3 3 2 1 2 2 3 4 5 5 5 5 5 6 7 7 7 7 8 12 17 19 16 11 8 5 4 3 3 4 5 6 7 7 7 6 5 6 7 8 8 6 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 4 3 3 3 4 4 5 5 5 5 5 4 4 5 5 6 6 6 5 6 8 10 8 4 2 3 15 29 24 12 8 8 9 3 -3 -7 -5 3 8 8 5 3 1 0 0 1 1 6 18 26 20 12 11 9 9 15 19 20 16 7 3 -1 -3 3 11 10 0 0 6 7 3 0 1 5 2 10 22 9 5 12 8 4 5 5 8 13 10 6 4 0 -4 -4 -1 0 6 7 4 4 6 7 8 8 7 7 10 10 9 11 11 13 13 17 14 10 10 5 1 3 5 8 14 19 15 4 1 8 16 20 17 12 9 6 5 7 7 4 4 7 8 6 6 7 10 17 17 9 7 6 5 5 5 4 3 4 4 4 5 5 5 5 5 5 4 4 5 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 3 4 4 5 5 4 3 3 3 3 3 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 4 4 4 4 5 4 4 3 2 2 2 3 2 1 2 3 3 2 2 1 1 1 1 3 5 6 6 6 5 5 5 5 4 1 -1 -1 2 5 6 6 7 7 7 6 2 1 5 5 5 4 4 5 6 6 5 4 4 3 3 4 4 3 3 5 6 6 5 2 1 3 6 7 6 5 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 4 5 5 5 6 7 7 6 5 5 6 6 6 5 4 5 4 5 5 5 5 5 5 4 5 6 6 6 6 6 6 7 6 6 5 5 5 6 7 8 9 8 5 4 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 5 5 6 7 7 7 7 7 8 8 8 8 8 7 7 6 6 5 4 3 2 1 1 1 2 3 3 2 1 1 2 2 3 3 3 2 2 2 2 3 3 4 4 3 4 4 3 4 3 4 6 9 14 17 15 11 7 5 4 3 4 4 5 6 7 8 8 6 6 6 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 4 3 3 3 4 3 4 5 5 5 5 5 5 4 5 5 5 5 5 5 7 9 9 6 3 3 8 24 33 22 12 7 5 4 -6 -10 -11 -5 5 8 6 3 0 -1 -1 -0 1 2 9 21 24 15 9 7 5 9 16 19 21 15 7 6 4 1 6 10 10 1 -2 7 12 4 -1 2 3 6 13 15 4 11 15 7 1 -1 3 13 17 12 8 4 0 -2 -1 -2 0 6 8 6 6 8 10 10 9 10 13 12 9 8 11 13 12 11 13 13 10 9 7 6 5 4 9 14 14 6 -0 3 8 15 19 17 13 9 6 6 7 6 3 4 8 7 4 4 6 10 18 18 10 6 7 6 5 5 4 4 4 4 4 5 5 5 5 4 5 4 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 2 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 4 4 4 5 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 3 5 7 6 5 4 4 4 5 3 0 -0 2 4 6 6 6 7 6 7 7 5 5 6 6 5 4 4 5 6 6 6 5 4 4 5 5 5 4 4 5 6 6 6 5 4 4 7 7 5 4 4 3 3 3 4 3 3 4 4 5 5 5 5 6 5 5 4 4 3 4 4 4 3 4 4 4 5 5 5 6 7 8 6 5 5 6 6 5 4 4 5 5 5 6 6 5 5 4 4 4 5 5 5 6 6 6 6 6 5 5 6 6 6 6 8 10 8 5 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 6 6 7 8 7 8 8 7 7 7 6 7 8 9 8 8 7 7 6 5 4 3 1 1 2 3 4 4 3 1 2 2 3 3 4 3 3 3 4 4 4 3 3 4 4 4 4 4 3 3 4 5 8 11 11 9 7 5 4 4 4 5 6 7 7 8 8 7 6 6 6 6 6 6 5 5 4 4 4 3 4 4 4 5 5 6 6 6 6 6 5 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 5 5 5 6 8 9 8 5 3 8 21 37 34 18 10 4 -0 -3 -13 -14 -9 -3 3 3 1 0 -1 -1 -0 1 2 3 9 18 20 13 7 5 6 7 9 13 16 12 5 8 9 7 6 6 9 5 0 5 7 7 4 4 4 10 14 7 6 15 13 6 -1 -3 5 16 16 10 6 5 4 2 -0 -1 1 6 9 9 8 12 17 15 9 9 13 11 5 6 10 8 5 7 9 12 6 4 8 9 8 8 8 9 6 3 6 7 6 12 16 16 13 9 6 6 7 6 5 7 8 6 4 3 5 12 20 18 9 5 6 7 6 6 5 4 4 4 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 3 4 4 5 5 4 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 5 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 1 1 0 1 3 5 6 6 4 3 3 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7 4 3 6 6 5 4 5 5 6 6 5 5 5 6 6 6 6 5 6 7 6 6 7 9 8 9 8 7 5 5 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 3 4 4 4 5 5 5 7 8 7 5 5 7 7 5 4 4 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 6 6 5 6 5 6 5 6 7 8 9 7 6 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 7 7 7 7 7 7 6 5 5 7 8 9 9 9 9 8 8 7 6 5 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 5 4 4 3 2 2 3 3 4 5 4 4 4 4 4 4 6 7 6 6 5 5 5 5 5 6 7 7 8 8 7 6 6 6 5 5 5 6 5 4 4 3 3 4 4 5 5 5 6 5 5 5 5 5 4 3 3 3 3 4 4 4 5 5 5 6 5 4 4 3 4 5 6 8 10 9 7 7 9 18 33 40 28 15 7 -2 -7 -9 -16 -15 -7 -2 -1 -0 -0 -1 0 1 1 2 3 5 8 13 17 16 10 9 12 10 4 4 9 9 5 8 12 12 7 11 10 8 8 5 -2 2 4 5 9 14 9 1 11 13 3 2 1 1 7 13 11 6 3 4 4 2 0 -0 5 8 10 10 10 14 18 17 5 2 6 5 1 5 12 8 2 6 8 9 8 3 2 6 10 7 10 8 1 7 20 14 6 11 14 14 12 9 6 7 8 7 7 9 8 5 4 3 7 17 22 15 5 4 6 7 7 7 6 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 6 6 5 5 5 5 5 5 6 5 5 5 5 4 4 5 5 5 5 4 3 3 3 4 4 5 5 5 5 4 3 3 3 3 4 3 3 3 4 4 3 4 4 5 5 5 5 6 6 6 6 7 6 6 7 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 4 4 3 2 2 1 1 0 1 3 5 7 6 4 3 3 4 5 6 6 6 7 6 6 6 6 5 6 6 8 9 8 6 7 7 5 5 5 5 6 5 5 6 6 6 7 6 6 6 6 7 6 6 6 5 3 7 9 9 9 9 8 6 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 7 7 6 5 5 4 4 5 5 5 5 5 7 8 7 5 5 6 7 6 5 5 4 5 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 7 8 8 8 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 6 7 8 9 9 9 9 10 9 8 7 6 5 5 4 3 4 5 6 5 5 4 4 5 6 6 6 5 4 3 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 6 6 7 6 5 6 6 6 7 8 8 7 6 6 6 5 4 5 6 5 5 4 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 5 5 6 6 5 4 4 3 5 7 8 9 11 10 10 13 17 22 26 26 22 15 5 -5 -7 -13 -19 -15 -8 -3 -1 -1 1 2 3 4 5 5 5 6 7 9 16 19 16 14 20 17 7 1 7 10 7 8 13 13 7 10 10 12 9 8 4 1 0 4 11 11 4 8 14 4 1 5 8 7 7 8 8 4 2 3 3 3 2 4 9 9 4 5 11 17 13 9 -2 -3 2 2 2 8 14 8 5 11 4 6 14 10 3 2 6 6 11 4 -2 11 27 19 9 11 14 12 10 8 8 9 9 9 9 9 7 5 3 4 11 22 21 8 2 3 6 7 8 7 6 5 4 4 5 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 5 5 4 4 4 4 3 3 4 4 4 5 5 5 4 3 2 2 3 3 4 4 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 4 3 3 2 2 1 1 2 4 6 7 6 4 2 2 3 4 5 5 6 7 6 6 7 6 6 6 7 8 9 8 7 8 7 6 6 5 6 6 6 6 5 5 5 6 6 6 6 7 7 6 6 5 4 -2 2 7 8 11 12 11 9 6 5 5 5 5 5 5 5 4 4 4 5 6 7 7 7 7 7 6 5 5 5 6 6 6 6 6 8 9 7 6 5 6 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 7 7 7 7 8 9 8 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 3 3 2 3 4 4 3 2 3 4 5 5 5 6 7 7 8 9 9 9 9 8 7 7 6 5 4 5 5 6 6 6 5 5 6 8 9 8 6 3 3 3 3 2 2 1 1 2 2 3 4 5 5 5 5 5 5 6 7 6 6 6 6 6 7 8 8 8 7 6 5 5 5 5 6 6 6 5 4 4 4 4 5 5 4 4 5 5 6 5 5 5 4 4 4 3 4 4 4 5 5 6 5 5 5 4 5 7 9 10 10 12 12 15 16 17 17 13 10 13 14 9 3 -3 -17 -21 -13 -6 -1 1 2 3 4 5 7 8 8 7 8 8 11 20 23 17 14 19 18 10 5 7 8 6 6 10 10 8 3 6 11 7 14 13 2 -2 4 8 3 9 27 22 2 5 9 13 9 5 5 5 5 5 5 6 6 5 6 9 8 -1 -3 5 13 17 9 -1 -1 3 5 7 11 14 6 -0 6 7 10 14 10 7 3 1 11 11 4 5 17 23 17 11 12 13 11 10 9 9 9 9 9 9 8 6 4 3 6 15 24 17 5 2 4 6 7 7 7 6 5 4 4 5 5 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 3 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 7 6 6 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 4 5 5 5 5 4 4 4 3 3 3 4 4 4 3 2 2 2 2 2 4 7 8 6 4 2 1 -0 -1 1 5 7 7 7 7 7 7 8 8 8 8 8 5 4 7 9 8 7 6 6 6 6 6 3 2 3 3 4 4 5 7 7 6 5 6 8 4 -0 3 5 8 10 11 10 7 6 5 4 5 5 4 4 4 5 5 5 6 7 7 7 6 6 6 5 6 6 6 6 6 6 6 8 9 8 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 6 7 7 8 8 9 9 8 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 4 3 2 3 4 5 4 4 4 5 5 4 4 4 5 6 7 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 6 5 7 10 10 8 4 2 3 4 4 3 2 2 1 2 3 3 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 7 8 8 7 6 5 4 4 5 6 7 6 6 5 4 4 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 3 3 4 4 5 5 6 5 5 5 7 11 12 11 11 14 16 13 9 12 19 17 7 6 12 15 9 -5 -22 -21 -8 -2 1 2 3 5 6 7 8 9 9 10 11 12 19 25 22 15 12 13 14 12 8 4 3 4 6 5 6 9 7 9 5 8 12 7 -2 2 10 8 1 7 19 15 4 4 6 9 8 5 2 3 8 10 9 8 8 8 6 5 7 4 -1 2 4 15 14 10 3 4 7 10 11 8 2 -4 1 11 13 12 10 6 4 2 8 7 10 18 22 17 12 12 13 12 10 10 9 9 8 8 9 8 7 5 3 3 8 19 23 13 3 2 4 6 7 7 7 6 5 5 4 4 4 4 3 4 5 7 6 6 6 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 2 3 4 3 2 2 4 4 4 5 5 5 4 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 4 3 3 4 4 4 4 3 3 3 3 3 3 5 8 8 7 4 2 0 -2 -3 1 5 6 7 6 6 7 7 8 8 8 8 8 6 3 6 9 8 8 7 7 7 6 6 5 3 2 2 1 1 0 4 7 6 6 5 7 9 3 3 3 4 6 8 9 8 7 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 6 7 8 9 7 6 6 7 7 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 8 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 7 6 6 6 7 8 9 9 9 9 8 6 5 5 5 6 6 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 7 9 8 5 2 2 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 6 7 9 8 6 5 4 5 5 6 6 6 6 5 5 5 6 5 4 4 3 4 4 5 5 5 4 5 4 4 4 3 3 4 4 5 5 5 5 6 8 13 17 16 13 13 17 13 3 0 9 23 26 14 5 5 7 -1 -16 -23 -14 -3 0 1 3 5 6 7 8 8 8 11 18 21 20 24 22 16 14 12 10 13 14 10 6 4 4 6 7 4 -1 -1 2 1 7 3 -3 -4 7 15 9 -1 -2 1 7 9 3 2 4 6 6 3 5 9 12 12 9 9 10 8 5 7 7 6 8 1 1 0 6 6 8 12 12 8 1 -2 2 10 11 10 18 20 5 1 7 3 3 14 20 18 12 9 12 13 11 10 10 8 8 8 8 8 8 6 4 3 3 9 19 22 11 3 3 4 7 7 7 7 6 5 4 4 4 4 4 4 4 5 7 7 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 5 5 4 4 4 4 4 3 4 5 5 5 5 5 5 4 3 2 3 4 3 2 2 3 4 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 4 5 5 5 5 5 6 5 4 4 4 3 4 4 4 4 3 3 4 3 4 6 8 9 7 5 3 1 1 2 4 5 5 6 6 6 6 7 8 7 6 6 7 7 7 9 9 9 8 7 6 7 6 7 10 10 9 8 7 6 5 5 6 6 7 8 7 6 5 4 3 3 4 5 6 7 7 7 7 6 5 5 6 6 6 6 6 5 5 4 4 5 5 5 5 6 6 6 6 6 5 6 7 9 10 8 6 6 7 7 6 5 5 5 4 5 5 5 5 5 6 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 8 9 10 11 11 9 8 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 13 13 12 11 10 9 10 12 13 13 13 14 14 13 11 10 8 7 8 8 8 8 9 10 10 10 9 9 9 9 9 8 8 7 6 7 8 7 6 4 2 2 3 3 2 2 3 3 5 5 5 5 5 4 3 3 3 3 3 3 4 4 5 5 5 6 6 6 7 8 9 8 6 5 6 6 6 5 5 5 5 5 5 5 4 3 3 3 3 4 5 5 4 4 5 5 5 4 4 4 4 4 5 5 6 5 8 14 21 23 20 15 12 13 8 -1 -1 6 17 15 6 -3 -10 -15 -17 -20 -15 -6 -1 1 2 5 7 7 8 8 9 9 15 27 27 20 17 13 11 15 13 12 16 17 13 11 9 6 5 8 2 -8 -5 -1 -1 -2 -3 -1 1 8 14 7 -0 1 5 9 8 3 4 3 3 6 8 9 8 11 15 12 11 11 8 6 7 8 8 6 3 -0 -5 -3 3 10 15 13 8 2 2 12 14 9 11 22 21 5 -0 6 -2 4 21 21 14 8 9 12 13 11 10 10 9 7 8 8 8 8 6 3 3 4 8 17 21 11 3 4 5 7 8 7 6 6 6 5 4 4 4 4 3 4 6 7 6 6 5 5 5 5 4 4 3 3 4 4 4 4 3 3 3 4 5 5 5 4 4 4 3 3 4 4 5 4 5 5 5 4 2 2 4 4 2 2 3 3 4 5 5 5 5 4 5 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 7 6 6 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 7 9 9 7 3 0 -1 2 4 5 5 4 5 5 5 6 7 9 8 6 6 7 9 12 10 9 7 7 6 5 5 6 7 9 11 13 14 14 13 11 7 4 6 7 10 9 6 5 4 4 3 4 5 6 6 6 6 6 5 5 5 5 6 6 5 5 5 4 4 4 5 6 5 6 7 7 6 6 6 5 5 7 9 11 10 8 8 8 6 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 7 8 7 7 9 10 11 11 10 9 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 14 12 12 11 10 9 9 9 10 10 11 12 14 16 17 16 15 12 11 10 9 9 11 14 14 12 10 9 9 9 8 9 9 8 8 8 8 8 7 4 3 2 3 3 3 3 3 4 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 9 10 8 7 7 7 6 5 5 5 5 5 4 3 2 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 6 9 15 22 23 19 13 8 7 10 8 -0 -2 3 8 0 -7 -12 -23 -26 -18 -12 -5 -1 -0 2 5 7 8 8 8 9 11 13 22 29 22 12 9 8 10 11 9 14 19 15 14 12 7 6 10 13 5 -1 5 10 5 -2 -1 5 7 7 13 5 1 6 11 9 3 3 5 4 1 5 9 9 6 8 15 15 15 11 6 7 10 8 4 4 6 5 8 6 1 10 15 13 11 4 6 12 9 4 7 14 10 6 8 12 3 6 21 21 13 8 9 12 12 11 10 10 9 8 8 8 8 7 5 3 3 4 8 16 21 13 5 4 5 8 8 6 5 5 6 5 4 4 4 4 4 4 6 6 6 6 6 5 5 5 4 4 3 3 4 4 4 3 2 2 3 4 5 5 5 4 4 4 3 4 4 4 5 5 5 5 4 3 2 3 4 3 3 2 3 4 4 5 6 6 5 5 5 6 7 8 7 6 6 6 6 6 7 7 6 6 6 7 8 9 9 8 7 6 6 5 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 4 4 6 8 9 8 4 -1 -5 -4 0 4 5 5 5 5 4 4 5 5 5 8 7 7 8 10 12 9 7 7 6 5 5 5 4 5 6 7 8 10 9 8 6 4 5 5 6 8 7 6 5 5 4 4 4 5 5 6 5 5 5 5 4 4 4 3 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 5 5 5 6 8 10 11 11 10 8 7 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 7 7 7 8 8 10 11 11 10 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 13 11 7 5 0 3 12 23 26 15 11 11 14 11 8 4 5 10 15 21 23 23 19 14 9 20 22 20 21 19 7 -16 -10 -2 -3 5 10 12 9 8 6 17 16 14 19 20 20 19 19 18 18 15 13 12 13 14 16 16 18 20 20 18 16 14 12 10 9 13 19 27 27 23 18 13 10 9 10 12 14 15 15 14 14 13 12 11 9 9 8 10 11 11 11 11 11 11 12 12 11 11 11 12 13 14 16 18 18 16 14 12 11 10 10 10 12 11 10 8 5 7 13 18 16 11 11 10 9 9 8 6 6 7 10 11 11 11 14 16 17 16 13 11 11 12 11 13 14 14 12 11 11 12 11 9 10 10 11 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 11 10 10 10 10 10 9 10 10 11 12 12 12 12 11 12 13 11 11 11 11 11 11 11 12 13 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 10 11 12 12 13 12 12 12 12 13 13 11 8 8 12 16 14 12 11 11 11 12 12 12 13 12 11 12 12 11 11 12 12 12 12 12 12 12 12 12 13 13 14 13 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 12 12 11 10 9 7 10 11 10 11 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 13 13 14 14 13 14 14 14 14 15 15 15 14 14 13 13 13 14 14 15 15 14 13 13 12 13 14 14 13 11 9 9 10 7 6 9 10 9 8 8 9 10 10 11 11 11 7 5 7 11 17 21 17 14 12 10 9 9 9 10 10 11 11 11 12 12 12 12 12 13 13 13 13 13 13 14 14 13 13 12 12 13 13 13 14 14 14 14 15 18 20 20 17 14 13 13 13 14 14 14 12 11 11 12 11 12 13 14 13 14 14 14 14 13 13 13 13 13 12 14 14 15 nan
nan nan nan nan nan nan nan 15 23 19 11 6 7 11 14 10 6 13 17 22 24 21 16 13 11 15 20 22 20 15 10 -1 -8 -6 -1 3 6 4 1 -2 -4 1 8 9 14 20 22 23 22 20 18 16 12 9 9 12 17 18 17 14 13 15 13 12 11 11 13 16 18 16 16 16 15 12 10 8 9 11 13 14 15 14 14 14 15 13 11 9 8 8 10 12 13 14 15 15 16 16 15 14 14 13 13 12 10 12 15 16 13 12 12 12 12 11 11 10 10 11 10 8 7 11 15 12 10 11 11 11 12 11 9 8 10 12 13 12 11 11 13 14 14 14 12 11 12 13 13 12 11 11 12 12 12 10 9 9 10 10 11 11 11 10 10 10 11 11 11 10 10 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 11 10 10 10 10 11 12 14 13 12 11 12 12 12 11 11 11 11 10 11 12 11 11 12 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 11 11 10 12 13 13 12 11 12 13 14 14 12 9 8 10 14 13 12 11 11 10 11 13 16 15 12 12 11 11 11 11 12 12 12 12 12 11 11 11 12 13 14 13 12 12 12 12 12 11 11 11 10 11 10 11 12 12 11 11 11 11 11 12 11 12 12 13 12 11 11 12 12 12 12 12 12 12 11 8 5 7 12 12 13 14 14 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 12 13 13 13 14 14 14 14 13 13 13 14 14 13 14 14 14 14 14 14 14 15 15 15 15 15 14 14 14 13 13 13 13 13 14 14 14 14 14 15 14 13 12 12 13 14 14 14 14 13 12 13 14 14 14 13 13 12 13 13 13 14 14 13 9 7 10 11 11 11 13 11 10 9 10 9 9 10 11 13 15 18 21 22 21 20 17 14 12 10 9 9 10 10 10 11 12 12 12 13 12 12 13 13 13 13 13 13 14 13 13 12 12 12 13 14 14 14 14 13 13 15 18 20 20 15 12 12 12 12 12 12 13 13 12 11 11 12 13 14 14 15 15 15 14 14 14 14 13 13 14 14 14 14 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 4 12 18 19 19 17 11 8 8 10 14 19 23 17 8 7 9 14 15 11 5 6 11 12 11 9 9 7 12 19 25 27 25 21 17 15 11 6 5 5 8 12 16 16 12 9 9 12 15 16 17 18 19 15 11 6 6 7 7 7 8 8 11 13 14 15 15 14 14 14 14 13 11 9 10 13 16 18 20 21 21 20 20 20 19 16 14 11 10 8 8 11 10 10 10 11 12 14 14 13 12 11 12 12 11 11 13 13 11 10 11 12 14 15 15 14 13 13 17 17 14 13 12 13 13 12 12 13 14 15 14 12 10 9 10 11 11 10 9 9 10 11 10 11 11 11 12 12 11 11 11 11 11 11 12 12 12 11 10 10 10 9 9 9 8 9 9 10 10 11 10 10 10 10 10 10 10 10 10 12 13 16 15 13 12 12 12 13 12 12 11 11 11 11 11 11 10 11 13 13 13 13 12 12 12 11 11 11 11 12 12 11 10 10 9 9 11 13 13 12 10 10 10 11 12 13 11 11 12 12 12 14 14 12 11 12 12 12 12 10 7 8 12 17 18 15 13 11 11 11 11 12 12 12 13 13 12 11 11 12 12 13 13 12 12 12 12 13 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 11 10 10 11 9 9 12 13 13 13 14 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 15 14 14 14 14 14 15 15 15 15 15 16 15 15 15 14 14 14 14 14 14 15 15 15 15 14 15 15 14 14 13 14 13 12 11 11 10 10 11 12 13 14 14 13 13 13 13 13 13 14 15 15 12 9 10 13 15 14 13 12 10 10 9 9 9 9 10 13 17 20 21 19 15 14 12 12 12 10 11 11 11 11 12 12 12 12 12 13 13 12 13 13 12 13 13 13 13 13 13 12 12 13 13 13 14 15 14 14 14 16 19 19 17 13 12 12 12 12 12 13 14 13 12 12 12 13 15 15 15 15 15 15 14 14 14 14 13 14 14 14 15 15 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -6 -3 5 13 19 17 13 4 7 19 36 31 8 6 9 17 18 15 11 12 13 16 21 24 26 22 16 15 13 7 3 4 6 9 13 17 18 15 11 7 9 14 20 23 21 17 12 10 7 7 7 8 8 8 10 14 15 14 12 12 13 13 14 16 16 15 13 14 14 15 16 18 20 20 19 18 19 19 16 12 10 8 7 7 7 7 8 10 11 11 13 15 15 15 14 14 13 12 13 14 14 13 14 15 16 17 18 18 18 18 18 20 17 15 14 13 12 12 11 13 14 13 14 13 11 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 10 9 9 8 9 9 9 9 9 9 10 10 10 10 9 10 9 8 8 12 16 16 15 13 12 12 12 11 11 11 11 11 11 11 10 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 11 10 9 10 11 13 13 12 11 10 9 9 11 12 12 12 11 9 7 12 17 14 11 12 12 13 14 12 7 4 7 11 14 14 14 14 13 12 12 12 12 12 12 12 13 13 13 12 12 12 13 13 12 12 13 12 12 13 12 12 12 11 10 10 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 13 12 11 11 8 8 12 13 14 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 15 14 15 16 15 15 15 15 15 15 15 16 16 13 11 10 9 9 11 12 13 13 14 14 13 14 14 14 15 15 14 15 16 15 14 13 14 14 13 12 12 11 10 10 9 10 11 11 12 13 13 13 12 11 12 12 11 12 13 13 12 12 12 12 12 12 12 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 17 19 17 13 12 12 13 13 12 13 15 14 12 12 12 13 14 14 14 15 15 14 14 13 13 13 13 13 13 14 14 15 15 16 16 nan
nan nan nan nan nan 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 -1 7 25 19 8 7 12 14 12 8 6 9 16 19 20 17 16 13 10 10 9 5 6 9 11 14 16 19 17 16 13 10 7 9 12 15 15 10 9 11 11 10 7 7 7 8 12 14 14 12 11 11 12 14 15 17 18 17 14 13 12 11 10 9 10 11 12 13 16 15 13 10 8 7 7 8 7 7 8 10 11 13 14 15 17 18 18 18 17 15 14 11 11 11 12 12 12 14 16 17 18 20 21 20 17 16 14 13 12 12 13 14 13 13 11 10 9 8 9 9 10 10 10 11 11 10 10 11 11 11 11 11 11 12 13 13 13 12 12 12 13 13 13 12 12 12 12 11 10 9 9 9 8 8 9 9 9 9 10 10 10 10 9 9 6 4 6 10 14 16 16 15 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 12 12 12 13 12 11 9 9 9 11 13 13 12 9 5 8 14 13 11 11 11 12 14 15 12 9 7 7 9 12 13 14 14 13 12 11 11 11 11 12 13 13 12 12 12 12 13 13 13 13 13 12 13 13 13 12 12 12 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 13 13 12 12 10 9 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 15 14 14 15 15 14 14 14 14 14 14 14 15 15 14 15 14 14 14 14 15 15 14 14 15 15 15 16 16 16 16 15 13 13 13 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 17 17 15 13 12 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 12 13 13 13 14 14 14 15 14 13 13 13 13 13 13 13 13 13 12 12 13 13 13 13 14 15 16 18 19 15 12 12 13 13 12 13 15 15 14 12 12 12 13 13 14 14 14 14 14 13 13 13 13 13 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 nan nan nan nan nan nan nan nan nan nan nan nan nan 9 8 7 11 16 20 19 17 13 9 6 5 5 5 6 9 13 15 17 17 17 15 13 14 13 9 3 2 3 6 6 9 12 13 11 9 9 11 13 13 13 12 12 13 15 16 16 14 16 17 15 12 11 9 7 5 4 6 8 11 12 13 13 14 11 8 8 8 10 11 11 13 15 17 18 17 14 14 16 18 19 19 18 15 13 13 13 11 7 3 5 10 12 14 17 17 15 15 15 15 14 13 13 14 13 13 12 12 10 9 9 9 10 11 11 11 11 11 11 11 11 12 11 10 10 10 11 12 13 12 10 9 10 10 11 11 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 8 6 5 5 8 12 17 18 15 14 13 12 12 11 11 11 11 11 11 12 12 12 12 12 11 12 12 11 10 11 13 15 13 11 12 13 13 13 13 12 12 11 11 10 9 10 10 11 12 11 10 9 9 10 11 11 11 11 11 12 14 15 13 10 8 8 9 10 11 12 12 11 10 10 11 12 12 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 12 13 12 12 12 12 13 13 14 13 13 12 13 12 11 10 11 12 13 13 13 13 13 13 13 13 13 14 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 14 14 14 13 13 14 14 14 14 14 13 13 13 14 13 13 13 13 13 14 14 15 14 15 14 14 15 15 14 14 14 14 14 15 15 15 14 13 14 14 14 14 14 15 15 14 14 13 13 14 14 14 15 15 15 15 15 16 18 19 17 13 13 11 10 12 13 12 12 13 12 11 11 10 10 10 10 11 12 12 12 12 12 12 12 11 11 12 13 13 13 13 14 15 15 15 14 14 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 14 16 17 16 14 14 13 12 12 12 14 15 15 13 11 12 13 13 13 14 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 8 6 5 6 9 10 10 13 16 17 17 15 12 10 11 12 13 10 6 5 4 8 14 17 17 15 14 15 16 17 16 15 14 15 17 20 20 16 10 12 15 11 10 10 10 8 6 4 5 8 11 13 15 16 14 12 11 12 11 13 15 18 20 21 22 21 18 11 8 11 15 17 18 17 17 17 17 16 14 11 8 7 8 10 13 15 12 11 11 12 13 13 13 11 11 11 12 12 13 12 11 11 10 10 11 11 12 12 12 11 11 12 11 11 10 9 10 11 12 11 10 10 9 9 9 9 10 11 11 12 12 12 11 10 10 9 9 9 9 9 9 8 9 10 10 10 11 11 11 10 8 6 6 7 14 19 18 15 13 12 11 12 12 12 11 11 12 12 12 12 11 11 12 12 11 9 7 6 10 16 15 13 14 14 14 14 14 13 11 10 10 11 11 10 10 11 11 10 9 9 10 10 11 12 11 11 11 12 13 13 12 12 11 10 9 9 9 10 11 11 10 9 10 11 12 13 14 14 13 13 12 13 14 14 14 13 13 13 13 12 13 13 12 12 12 12 12 12 12 13 12 12 13 13 13 13 14 14 13 13 13 13 14 14 13 12 12 12 12 13 13 14 13 14 14 13 13 13 13 13 13 13 13 13 13 12 13 14 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 15 15 14 12 11 11 13 13 13 13 13 14 14 14 14 13 13 14 14 14 15 15 15 15 16 16 18 20 20 17 16 12 11 12 12 13 12 12 12 11 10 10 10 10 11 11 11 12 11 12 12 11 11 12 12 13 14 14 14 15 15 15 15 14 14 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 15 15 13 11 10 11 12 14 14 13 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 5 6 5 5 5 4 5 5 5 4 6 10 17 24 30 32 33 34 39 45 42 30 19 13 12 15 20 22 18 10 3 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 5 3 2 2 7 9 9 9 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 8 13 22 29 39 48 54 57 55 47 44 41 38 40 44 51 64 84 103 108 105 109 121 130 124 110 99 94 92 88 85 82 78 74 71 70 72 75 76 75 72 67 60 55 50 45 40 37 36 33 20 2 4 13 17 18 16 13 8 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 1 7 14 17 18 34 25 1 3 11 34 52 53 51 61 72 86 97 106 109 110 112 115 111 99 84 77 84 78 60 54 74 101 118 125 123 121 120 121 123 123 119 113 110 117 127 130 131 130 131 130 125 120 111 101 90 82 88 96 102 102 105 103 107 nan nan nan nan nan nan nan nan nan nan nan nan 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 4 4 4 4 4 3 3 3 4 3 3 5 7 10 15 22 27 31 38 45 41 33 24 16 12 12 16 21 22 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 1 2 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 2 5 13 21 32 39 49 54 55 55 51 42 36 33 30 31 36 45 59 80 96 100 97 101 115 126 123 108 91 83 82 81 77 72 67 63 62 64 68 71 73 74 72 65 52 43 37 31 26 27 26 20 6 0 2 7 11 14 14 12 3 0 0 0 0 4 0 0 0 0 0 3 6 1 0 0 0 1 2 1 10 36 39 7 4 12 35 49 44 18 27 41 59 72 95 108 105 103 107 110 108 106 108 112 106 96 99 114 127 129 126 124 124 125 127 130 135 135 128 124 127 125 122 122 123 122 121 120 116 108 103 95 86 89 97 103 105 108 108 106 nan nan nan nan nan nan nan nan nan nan nan 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 8 7 5 5 5 4 3 2 1 2 3 1 1 2 3 5 5 10 17 24 30 33 31 27 23 20 15 13 14 18 21 19 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 0 0 0 0 0 2 8 20 31 39 46 50 53 55 55 56 51 40 30 28 26 28 35 44 57 77 92 92 89 95 107 118 121 112 94 79 74 73 70 63 55 51 50 50 53 57 60 62 61 53 38 26 17 12 10 11 6 13 0 0 0 2 3 6 9 5 0 0 0 0 0 1 0 0 0 0 0 6 12 14 14 22 14 11 13 22 38 52 49 26 32 39 43 44 35 16 8 23 51 69 90 110 107 98 97 100 102 106 113 118 117 117 119 119 119 120 120 119 121 122 122 123 126 126 125 123 120 117 116 117 117 117 119 119 114 107 104 103 102 103 106 109 108 108 109 105 101 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 9 9 8 6 6 6 6 5 3 1 0 0 0 0 0 1 2 2 3 7 13 17 17 17 17 18 19 18 16 15 16 19 19 16 12 7 3 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 3 0 0 0 2 4 6 9 17 31 46 53 54 55 54 51 52 53 48 41 34 30 27 30 38 47 58 75 86 84 82 86 94 105 117 119 107 88 73 66 60 53 44 38 34 30 29 33 36 39 37 29 21 12 2 2 4 5 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 3 7 13 21 31 36 36 42 55 62 58 53 56 62 58 44 31 19 14 24 60 92 102 104 111 107 98 95 94 95 100 105 115 119 121 120 117 115 115 118 116 118 119 118 118 118 118 119 120 118 117 120 120 118 117 116 116 114 110 109 109 112 114 116 116 112 107 105 99 93 nan nan nan nan nan nan nan nan nan nan 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 12 8 6 6 7 8 8 6 3 1 1 0 0 0 0 0 1 1 1 4 6 6 7 8 11 13 15 16 15 17 19 20 19 17 13 8 6 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 1 1 1 1 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 1 7 12 14 16 21 31 42 49 50 46 39 37 39 38 37 37 37 33 29 33 42 50 59 72 80 78 74 76 82 92 106 117 118 106 86 68 56 46 36 27 19 12 7 10 14 16 10 4 8 4 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 1 3 6 8 27 46 54 62 63 52 45 53 56 63 66 52 18 16 56 105 124 120 110 108 105 101 98 97 96 99 103 108 116 120 120 119 119 121 119 118 118 119 117 116 115 115 117 120 121 124 124 121 117 114 112 112 112 112 111 110 110 114 120 124 122 119 112 100 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 12 12 9 6 6 7 8 9 9 7 4 3 2 2 1 0 0 0 0 0 0 0 1 2 2 3 4 7 11 14 18 22 23 24 22 17 10 7 5 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 1 2 2 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 16 17 19 24 30 36 37 35 34 34 33 33 31 28 29 28 29 35 45 52 61 74 80 75 68 69 75 82 93 105 114 114 104 85 64 46 32 21 14 8 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 1 10 32 46 50 52 45 44 56 54 74 105 105 73 57 93 123 119 107 101 98 97 98 97 100 103 103 105 109 113 117 119 119 120 121 121 120 120 120 119 117 116 115 116 118 120 121 121 118 114 110 106 105 108 110 110 105 102 107 119 128 134 141 139 127 111 nan nan nan nan nan nan nan nan nan 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 7 9 9 8 6 6 6 7 8 8 6 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 2 5 8 12 19 25 28 29 26 18 9 5 4 4 4 3 3 2 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 8 14 17 17 18 18 20 22 22 22 23 21 22 29 31 24 15 16 19 27 40 49 56 69 82 83 72 62 62 68 75 83 91 99 107 109 100 84 65 45 30 21 16 14 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 30 34 42 57 68 91 87 106 131 140 139 128 142 135 116 97 92 92 90 87 88 95 101 103 104 107 110 114 116 118 119 121 121 120 119 119 118 118 118 117 115 114 115 117 118 117 114 111 104 101 104 109 110 104 98 102 113 124 134 148 155 155 146 nan nan nan nan nan nan nan nan nan 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 4 6 8 9 8 7 5 4 5 5 4 3 4 4 4 3 1 2 2 0 0 0 0 0 0 0 0 0 1 3 4 9 17 23 28 28 24 13 6 4 4 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 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 1 9 17 18 19 19 19 19 20 20 20 20 20 19 20 21 22 16 7 6 13 30 50 53 59 73 86 85 72 59 56 60 66 74 79 83 88 94 97 93 85 72 56 43 34 27 18 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 2 18 23 35 62 95 113 123 137 134 137 145 157 169 155 130 105 90 88 87 82 80 84 90 95 100 104 107 112 114 114 115 118 118 118 118 118 116 116 117 117 114 111 111 113 116 116 115 115 109 105 106 111 113 111 107 105 107 115 126 137 147 154 152 146 nan nan nan nan nan nan nan nan 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 2 4 5 7 8 8 6 4 4 4 3 2 2 3 4 4 4 5 4 2 0 0 0 0 0 0 0 0 0 1 0 1 4 9 14 19 21 15 7 4 4 4 5 4 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 12 16 12 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 6 15 19 20 20 19 19 19 20 20 20 19 18 18 19 16 9 3 4 17 39 54 52 56 71 86 85 73 58 50 51 56 62 67 69 72 74 79 84 87 82 74 63 50 37 20 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 24 40 65 98 116 124 124 123 122 126 136 149 155 148 130 109 95 90 87 84 84 87 91 94 100 106 112 114 113 112 112 111 112 117 118 116 114 114 114 111 110 109 109 111 112 114 116 114 111 112 114 116 118 118 111 106 108 116 127 133 135 134 127 nan nan nan nan nan nan nan nan 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 2 3 3 5 6 7 8 7 5 4 4 4 3 3 3 4 6 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 13 16 10 5 4 5 6 6 4 4 4 4 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 19 20 16 11 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 6 15 18 18 18 16 13 14 18 19 18 16 15 13 9 3 1 4 22 44 50 43 44 60 74 78 71 58 47 44 46 50 53 56 58 62 65 70 73 74 71 64 51 39 21 5 0 0 0 0 0 2 4 3 1 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 11 39 59 79 98 117 126 123 117 112 111 117 125 136 147 148 136 120 106 98 95 93 97 101 98 95 100 109 113 114 113 111 108 108 111 114 114 113 112 111 110 109 108 106 107 110 113 115 114 113 114 116 117 119 120 118 111 106 109 117 123 124 120 112 nan nan nan nan nan nan nan 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 1 2 3 4 5 6 6 5 5 5 5 4 3 3 4 7 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 14 11 6 5 5 6 6 5 5 6 7 6 4 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 14 20 21 20 19 15 8 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 2 7 11 12 9 5 3 3 8 16 13 9 6 5 4 1 0 1 18 36 20 16 18 42 54 61 61 55 47 41 39 40 41 42 45 49 55 60 64 65 63 57 47 38 26 13 3 0 0 0 0 2 8 10 9 8 8 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 22 51 72 89 103 114 118 115 108 103 102 106 111 119 132 144 149 143 128 113 106 104 109 113 111 104 101 104 108 112 115 116 113 109 107 106 109 111 112 112 110 109 108 107 107 111 116 118 116 115 115 117 118 122 127 130 125 112 108 113 118 120 116 110 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 0 0 0 0 1 1 2 2 2 3 3 4 4 4 4 3 2 3 5 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 5 5 5 5 4 4 4 6 6 6 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 6 8 15 18 18 22 24 20 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 1 2 3 1 0 0 0 2 7 7 6 6 5 2 0 0 0 6 15 4 2 2 13 33 44 48 49 47 42 38 35 33 29 22 27 39 48 54 58 56 52 45 39 31 19 7 2 0 0 0 1 4 10 10 8 16 18 14 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 23 49 69 81 91 100 104 104 100 95 94 97 102 107 116 129 143 152 148 133 120 116 117 119 120 116 112 109 109 111 114 116 116 113 108 104 104 107 111 114 113 110 106 104 105 110 118 122 121 118 117 118 117 121 133 146 144 130 118 114 116 120 119 119 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 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 1 1 2 2 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 3 2 2 3 5 5 4 2 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 2 3 3 3 2 3 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 8 8 13 21 22 23 27 27 20 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 1 10 10 7 5 4 0 0 0 0 0 2 1 0 0 1 17 29 35 39 42 41 36 33 30 22 8 3 10 24 36 42 44 42 39 36 29 17 5 0 0 0 0 0 3 8 10 9 17 22 18 15 15 13 9 4 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 37 51 61 71 80 86 92 94 92 90 91 95 98 104 113 126 143 155 150 136 129 125 125 125 125 125 122 119 117 115 114 113 112 111 108 105 104 107 111 112 110 104 98 98 102 113 122 125 121 118 118 117 121 129 143 150 146 133 119 115 120 124 126 130 nan nan nan nan nan nan 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 1 4 7 7 5 3 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 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 1 1 2 2 2 2 2 2 2 2 3 3 2 3 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 11 14 20 25 27 28 29 25 16 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 1 9 10 8 3 0 0 0 0 0 0 0 0 0 0 0 2 8 14 19 23 24 22 19 15 11 6 2 0 4 14 22 24 24 24 18 12 6 2 0 0 0 0 0 5 8 18 22 24 24 18 16 20 25 24 20 17 12 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 27 39 50 60 69 77 85 91 93 93 93 94 96 102 111 125 140 149 147 139 132 130 129 129 130 129 127 125 121 115 112 111 113 114 111 105 102 107 110 110 106 100 97 97 103 112 118 118 116 115 116 121 127 135 144 150 147 132 121 123 126 128 132 nan nan nan nan nan 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 1 6 11 12 10 9 8 5 3 2 2 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 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 1 1 1 6 10 16 16 19 25 30 31 31 28 22 13 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 4 3 3 4 2 0 3 8 9 9 10 9 4 2 0 0 0 0 0 0 1 6 14 30 40 33 22 13 12 18 21 23 25 28 30 29 27 24 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 3 7 12 25 38 47 57 67 79 88 95 99 97 94 95 99 108 121 136 144 142 135 131 130 130 130 129 127 126 122 115 110 109 110 114 116 112 108 109 110 111 110 109 107 103 101 103 106 108 107 107 110 118 127 132 135 141 151 156 150 143 134 129 132 nan nan nan nan nan 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 1 4 7 10 12 12 13 13 11 8 6 4 2 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 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 14 17 19 23 29 34 34 32 27 20 12 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 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 1 4 6 7 8 7 4 0 0 0 0 0 0 0 0 1 3 9 14 20 19 13 11 13 15 14 13 13 16 22 31 38 45 44 32 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 22 32 38 51 66 78 90 94 92 87 86 91 102 118 132 138 135 131 129 128 128 126 125 122 119 112 106 104 104 108 114 117 117 117 117 117 115 115 116 114 109 106 104 102 99 99 104 113 125 133 132 130 143 168 185 175 157 142 137 nan nan nan nan nan 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 2 6 10 8 8 10 13 15 14 13 11 9 5 2 1 1 2 2 1 0 0 0 0 0 0 1 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 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 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 2 6 8 12 17 18 22 26 32 38 39 36 28 20 12 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 2 4 5 3 2 0 0 0 0 0 0 0 0 0 0 2 4 7 5 6 14 18 12 7 5 5 6 6 10 21 37 54 57 42 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 10 12 20 35 50 65 75 78 74 70 73 81 94 110 125 133 132 130 129 129 127 125 123 119 112 105 102 103 105 111 117 122 122 123 123 123 121 120 119 115 112 110 106 102 99 102 109 124 135 133 128 136 155 177 184 174 157 145 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
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 11 9 9 12 14 16 16 15 13 11 7 4 3 4 4 3 2 2 1 0 0 0 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 1 1 2 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 13 19 20 23 28 35 39 42 40 31 21 13 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 6 6 12 12 5 2 1 2 4 4 3 5 14 35 53 59 37 13 1 0 2 4 2 2 1 0 0 0 0 0 0 0 1 2 3 2 5 11 23 45 57 63 64 60 56 59 67 82 102 122 129 133 134 132 129 125 123 121 116 110 107 107 109 110 113 118 121 123 125 129 131 128 123 117 113 112 109 107 107 109 114 124 132 135 134 137 144 156 170 174 164 153 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 5 9 10 10 11 14 16 16 15 14 13 9 6 6 7 6 7 8 7 4 1 0 0 1 2 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 1 1 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 11 21 23 23 27 35 40 42 41 34 24 14 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 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 1 5 9 9 12 14 12 6 3 1 1 4 4 1 0 1 15 31 46 46 20 5 2 4 6 5 4 4 2 0 0 0 0 0 0 0 0 0 0 1 4 10 32 44 52 57 57 53 50 51 60 78 101 120 134 143 142 137 129 125 124 123 118 114 114 115 114 112 114 118 120 124 132 140 136 128 119 113 108 106 109 114 119 122 125 129 134 139 140 140 145 157 167 169 168 167 nan nan nan 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 3 2 1 0 0 0 0 0 0 0 0 1 3 4 2 1 0 0 0 0 0 0 2 6 10 12 13 14 13 12 12 10 6 4 7 11 11 11 14 13 9 4 1 0 1 3 7 9 10 9 6 3 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 20 23 25 27 32 39 41 40 32 24 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 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 9 12 15 20 22 21 20 19 17 12 9 4 0 0 0 4 9 22 33 25 11 5 5 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 2 5 18 37 44 49 54 55 53 52 54 65 84 108 131 151 157 150 140 134 134 135 132 128 125 123 119 111 110 112 115 120 129 135 136 131 124 115 106 102 108 117 125 127 125 125 130 136 138 136 135 144 154 167 180 184 nan nan nan 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 2 3 3 2 1 0 0 0 0 0 0 0 2 4 5 4 3 1 0 0 0 0 0 0 2 7 11 12 11 10 9 8 6 2 1 6 12 15 16 18 16 11 6 2 1 1 4 8 10 11 11 10 7 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 18 23 26 28 30 36 38 40 35 24 14 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 2 2 2 4 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 0 0 0 0 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 16 23 25 26 28 34 32 25 17 12 4 0 0 0 0 1 6 14 18 11 6 6 7 7 6 6 4 2 2 3 0 0 0 0 0 0 0 0 0 1 5 24 35 42 47 53 58 60 62 68 79 99 121 144 156 150 138 128 127 134 139 143 143 138 131 122 115 110 111 116 123 129 132 132 129 122 112 105 107 115 123 126 124 123 128 136 138 133 127 129 135 148 169 186 nan nan nan 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 4 5 4 2 1 2 0 0 0 1 2 3 4 3 1 0 0 0 0 0 0 0 3 8 11 12 12 10 8 5 1 0 2 7 10 11 13 13 9 5 2 2 2 3 6 9 10 10 11 9 7 6 6 5 5 4 4 3 2 2 2 2 1 1 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 1 2 2 2 2 2 1 1 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 1 4 3 7 16 23 26 28 30 34 35 38 33 24 13 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 1 2 4 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 23 25 25 26 27 22 17 14 11 5 2 2 1 0 0 2 6 9 8 6 7 7 7 6 6 4 2 6 8 2 0 0 0 0 0 0 0 0 0 0 6 16 24 31 42 53 64 73 79 84 92 105 120 128 124 113 102 95 102 122 141 152 150 144 138 128 116 111 112 117 123 129 133 133 130 122 114 110 113 119 122 120 120 128 138 145 143 135 128 123 126 141 161 nan nan 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 2 6 12 13 9 6 7 1 0 0 0 0 2 3 3 1 0 0 0 0 0 0 0 1 4 8 11 13 12 11 7 2 0 0 2 5 6 8 8 6 2 1 1 1 1 3 6 8 9 9 9 9 10 10 9 7 5 4 4 4 3 3 3 3 3 2 1 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 5 15 22 26 28 30 33 33 33 30 23 13 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 1 2 6 8 8 6 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 4 13 21 23 19 17 14 10 8 5 7 8 8 7 5 2 1 3 7 9 7 6 6 6 6 6 5 2 1 8 11 6 1 0 0 0 0 0 0 0 0 0 0 1 4 9 16 34 62 82 90 89 88 91 94 101 99 91 85 82 86 103 126 143 147 145 142 136 125 116 111 112 116 123 131 136 137 132 122 115 113 117 119 117 117 125 137 151 161 159 147 132 122 122 131 143 nan 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 2 9 19 21 14 9 7 5 3 1 0 0 1 1 2 2 1 0 0 0 0 0 0 0 1 3 6 10 11 13 13 9 1 0 0 1 2 4 5 4 3 1 0 0 1 2 5 7 8 8 7 7 9 11 12 11 8 4 4 4 3 3 4 4 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 2 2 2 2 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 20 25 28 30 33 33 31 29 23 14 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 1 2 4 6 8 6 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 10 7 6 3 3 6 10 12 12 12 9 6 5 7 13 14 8 5 5 5 5 5 5 1 3 9 11 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 6 34 64 91 97 90 83 81 83 86 89 88 86 88 95 107 121 132 138 141 142 139 131 120 112 108 112 119 126 135 138 134 128 122 118 119 120 118 117 123 134 151 171 181 170 154 136 126 125 134 nan 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 2 9 22 27 18 9 5 4 2 1 0 0 0 0 2 3 3 2 0 0 0 0 0 0 0 0 1 4 7 11 16 17 8 4 1 1 0 3 5 5 5 5 3 2 4 5 7 8 8 8 6 5 5 8 12 13 11 6 3 3 3 3 3 4 4 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 2 1 0 0 0 1 2 2 2 2 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 19 25 29 30 33 36 35 30 23 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 5 6 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 8 3 1 1 1 4 10 14 15 15 14 10 8 11 22 33 26 9 5 4 3 3 4 2 4 8 11 11 12 10 10 8 5 2 0 0 0 0 0 0 0 0 0 1 27 71 96 98 85 75 70 73 79 84 87 89 92 98 107 117 127 133 138 140 140 135 126 117 112 114 118 124 130 133 132 129 125 121 120 124 126 125 128 134 148 164 172 170 164 156 146 134 128 nan 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 3 2 6 22 28 19 8 3 1 0 0 0 0 0 0 1 2 4 4 2 0 0 0 0 0 0 0 0 1 2 4 9 14 12 7 5 4 4 5 7 8 8 10 9 8 8 10 11 10 9 8 7 4 2 3 7 12 12 9 6 4 3 3 4 4 4 4 6 7 6 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 5 4 4 2 1 1 1 1 2 2 2 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 21 28 28 28 28 27 31 33 26 17 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 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 0 0 0 0 2 4 5 7 6 4 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 7 12 16 17 17 16 14 11 11 16 34 46 29 10 4 2 1 1 0 1 8 14 12 10 11 12 12 15 15 7 0 0 0 0 0 0 0 0 0 0 9 60 89 91 78 67 63 65 71 77 80 81 83 88 94 104 116 127 135 140 139 136 132 126 124 122 122 123 127 130 131 130 127 123 122 127 133 136 138 141 149 156 156 155 158 160 160 150 134 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 1 4 16 24 18 6 1 0 0 0 0 0 0 1 0 1 4 7 5 2 0 0 0 1 0 0 0 0 0 0 2 3 5 5 5 7 9 10 10 11 12 14 15 14 14 16 16 12 8 8 7 5 2 1 3 7 11 11 9 7 5 4 4 3 4 5 8 8 7 3 2 1 1 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 5 5 4 4 3 2 1 2 2 2 2 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 18 21 19 16 15 15 25 33 30 20 10 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 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 3 4 7 8 7 5 3 3 3 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 1 2 4 3 1 2 1 0 0 0 0 0 0 0 0 2 7 9 9 9 12 15 19 20 18 16 15 14 14 15 19 33 37 22 8 3 1 0 0 0 2 9 14 11 5 8 11 12 16 14 6 0 0 1 1 0 0 1 0 0 0 10 45 71 75 64 56 55 59 63 68 71 70 69 71 78 89 101 114 129 139 141 139 136 132 131 130 127 125 127 130 131 130 130 127 126 130 134 136 142 149 154 157 155 152 152 155 155 151 143 139 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 3 12 20 18 8 1 0 0 0 2 4 5 4 1 0 3 7 8 5 2 1 2 2 2 1 0 0 0 0 0 0 1 1 2 6 10 11 12 14 15 16 17 18 18 20 20 13 7 6 6 5 2 0 1 3 7 10 10 10 8 5 4 5 6 7 9 9 7 2 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 4 5 5 6 6 5 3 2 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 3 2 3 5 12 21 27 31 21 11 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 2 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 2 0 0 0 0 1 2 3 5 8 10 9 7 5 4 3 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 1 2 2 2 1 3 6 10 9 7 6 5 4 2 1 0 0 0 1 0 1 6 14 16 17 18 18 19 23 26 25 21 17 14 14 15 17 22 24 15 9 6 3 1 1 3 5 9 11 11 10 4 3 8 13 17 7 0 4 11 22 18 11 7 8 6 2 1 12 33 49 53 48 43 41 41 46 55 62 62 57 58 65 74 84 96 114 131 141 142 138 133 130 129 128 127 127 128 132 135 135 132 130 133 134 135 140 148 156 161 164 163 159 154 153 152 150 149 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 1 8 16 16 9 3 1 3 4 9 16 20 12 2 0 0 6 9 8 6 4 2 2 2 1 0 1 2 2 1 0 0 0 0 5 8 10 12 15 17 18 19 19 20 20 19 15 9 7 5 4 1 0 0 1 3 6 8 9 8 5 4 6 8 8 9 9 6 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 2 2 3 3 4 4 4 5 6 6 6 4 3 4 4 3 3 3 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 2 5 7 2 0 0 3 10 17 24 30 21 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 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 2 2 3 4 4 4 6 9 11 11 9 7 5 4 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 2 4 7 13 17 12 7 10 15 18 13 7 3 1 0 1 2 1 0 0 0 0 3 11 18 21 21 21 21 22 24 26 26 23 19 16 15 16 18 22 19 11 5 4 4 5 7 14 23 28 23 18 16 10 4 6 22 19 10 8 17 26 30 29 28 27 25 21 16 11 13 28 34 38 40 39 35 29 28 30 47 45 36 41 51 59 68 77 94 116 133 140 139 133 128 127 126 126 126 125 131 138 138 135 133 133 133 133 136 142 149 160 171 174 166 154 149 152 153 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 0 0 0 0 0 0 2 7 9 9 7 7 7 10 18 29 31 20 6 0 1 7 10 11 9 5 2 1 2 2 2 3 4 4 3 1 0 1 2 6 8 8 10 12 16 19 20 20 19 19 18 16 15 13 8 3 0 0 0 2 3 4 5 6 6 3 2 4 6 7 8 8 5 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 4 5 5 5 5 4 3 4 5 3 2 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 2 8 14 21 27 22 12 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 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 3 3 4 4 6 6 6 6 7 10 11 11 10 10 10 8 6 5 6 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 2 4 14 22 23 19 17 16 16 15 7 2 0 0 0 1 2 1 0 0 1 1 4 13 18 20 21 20 20 21 19 18 19 20 19 19 18 18 18 18 14 6 1 1 4 9 19 31 40 43 34 31 28 22 16 15 24 24 18 22 31 40 41 34 30 31 32 29 26 24 26 28 31 36 43 46 36 28 24 24 28 28 24 26 31 42 52 60 72 95 120 133 136 133 129 126 126 126 124 125 129 134 136 136 135 136 135 133 133 137 145 158 174 180 170 149 138 140 147 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 12 5 2 0 0 0 0 0 1 3 6 7 7 8 12 19 26 26 17 6 1 2 8 12 14 10 7 4 2 2 3 3 3 4 3 1 0 0 3 7 10 10 9 8 9 11 15 16 16 16 17 18 21 23 21 13 4 0 0 2 4 4 4 3 3 3 0 0 1 3 4 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 4 3 3 2 2 3 4 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 19 25 22 14 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 4 5 6 6 6 5 5 5 5 6 6 7 9 11 11 8 7 7 7 7 6 4 2 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 9 17 20 19 17 14 11 7 2 0 0 0 0 0 0 0 0 0 1 3 5 9 14 17 18 19 20 19 13 6 8 16 19 19 19 19 19 17 12 5 0 1 6 14 27 44 51 41 37 42 41 35 31 33 37 37 32 32 43 61 70 62 49 42 38 34 28 24 24 25 29 41 57 64 57 37 27 24 23 22 20 19 23 33 42 48 57 74 100 121 132 134 134 130 130 131 130 129 130 132 134 136 137 139 139 137 136 138 143 155 173 183 177 155 140 133 142 151 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
33 23 16 10 6 3 1 0 0 0 1 3 5 5 4 7 10 14 14 7 2 0 1 7 15 17 14 11 9 7 5 5 4 3 4 4 3 3 2 4 7 10 11 10 9 8 8 9 10 11 12 15 24 32 33 27 17 8 2 0 2 4 4 4 3 3 2 0 0 0 0 1 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 1 0 0 2 3 4 3 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 0 0 1 4 8 10 17 23 22 15 9 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 1 2 2 3 3 4 5 5 5 5 4 3 3 3 2 2 2 2 5 9 10 8 7 6 6 6 6 3 1 0 0 0 0 1 3 3 2 1 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 13 11 7 4 3 3 2 0 0 0 0 0 0 0 0 1 3 3 1 5 10 14 18 21 19 11 3 2 10 17 18 18 19 18 17 13 6 2 6 16 27 43 62 68 57 46 44 41 34 38 55 66 59 48 47 62 88 108 106 85 66 58 49 41 30 19 18 23 46 67 78 75 56 40 33 28 27 31 34 32 37 40 44 49 60 80 104 126 137 140 140 142 142 141 139 137 135 134 135 138 139 139 136 134 137 141 148 161 176 180 172 162 154 153 156 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
57 40 29 21 15 10 6 4 1 0 0 1 1 2 4 5 6 6 7 2 0 0 2 10 18 21 19 18 16 14 13 10 7 4 4 4 4 4 4 4 4 4 6 9 10 9 8 8 8 9 10 14 25 39 41 32 20 12 7 5 5 6 6 6 7 7 5 2 0 0 0 1 2 3 4 4 3 2 1 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 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 4 8 12 17 22 23 17 10 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 1 1 0 0 0 0 0 0 0 0 0 0 2 2 3 3 4 4 4 3 3 3 2 2 1 1 1 1 1 1 2 5 6 6 6 5 5 5 4 2 0 0 0 0 2 5 6 5 4 4 6 6 6 5 3 2 2 1 1 2 1 0 0 0 0 0 0 0 1 3 3 2 2 1 0 0 1 2 1 0 0 0 0 0 0 0 0 1 1 1 0 0 2 9 16 22 22 14 5 1 5 13 16 17 18 18 17 13 10 12 20 26 41 62 80 83 67 48 37 25 15 29 66 92 93 80 73 82 104 124 127 115 99 92 84 72 55 32 19 20 39 63 81 88 82 66 49 38 35 40 46 46 47 49 48 50 55 70 90 114 132 139 143 146 148 148 147 146 141 136 134 136 136 134 130 128 132 137 142 150 162 172 178 180 177 172 168 165 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
81 66 52 39 27 20 15 11 7 5 4 4 5 7 10 11 11 10 10 6 2 2 6 13 21 24 25 26 25 24 21 18 15 13 11 9 6 8 11 8 3 0 1 5 7 9 10 9 8 8 9 13 24 36 39 33 23 15 11 11 11 12 12 12 13 12 11 7 4 3 3 3 3 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 13 16 21 23 19 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 0 0 0 0 1 2 2 3 2 2 1 1 0 0 0 1 1 0 0 1 3 3 4 3 4 4 4 3 2 2 2 1 0 0 0 1 1 1 1 2 2 2 2 3 2 2 1 0 0 0 0 1 4 7 8 7 7 7 8 10 11 10 9 6 5 6 7 6 4 2 1 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 21 23 18 9 3 4 11 15 15 16 18 17 14 14 18 24 33 49 68 80 75 59 46 32 15 4 17 59 93 101 104 96 85 89 99 108 113 114 117 118 114 102 78 51 36 40 55 73 86 91 83 69 56 49 51 52 52 56 62 63 62 63 69 82 100 118 130 136 140 144 145 145 144 142 139 136 134 132 128 125 124 128 134 140 147 156 167 178 185 189 187 182 175 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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23 27 32 31 26 19 16 14 12 11 8 5 3 3 3 4 6 8 12 14 16 19 28 39 46 47 43 39 36 34 32 35 40 42 40 40 38 39 42 46 53 65 71 69 63 57 52 49 48 50 50 46 46 50 56 60 59 51 41 38 39 42 42 40 38 37 36 33 29 27 28 33 38 46 54 54 45 36 29 24 20 18 15 12 8 6 3 1 2 2 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 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 1 5 10 12 13 15 14 10 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 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 4 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 1 3 6 9 11 12 13 13 13 12 11 9 7 6 6 6 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 2 4 3 1 0 1 3 8 11 14 18 18 21 23 23 23 28 36 31 21 15 14 12 6 1 0 0 4 19 38 44 47 58 74 101 117 110 99 92 86 74 64 62 61 63 67 68 64 57 46 30 25 26 29 34 41 47 52 55 54 51 49 42 34 36 54 82 88 73 56 48 49 50 51 53 58 62 68 76 88 96 105 110 105 91 75 64 59 64 77 89 97 103 110 114 112 98 82 69 63 65 70 74 73 73 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
30 33 36 37 34 28 23 22 21 18 14 11 8 6 4 2 2 3 5 8 12 15 21 30 40 47 49 47 44 41 36 35 38 40 40 43 46 47 49 52 57 66 71 71 66 62 59 57 60 65 70 71 72 70 68 66 66 63 55 47 44 46 46 43 38 34 34 33 31 30 33 38 44 50 57 61 58 50 41 31 25 20 17 15 12 9 7 6 7 7 5 3 1 0 0 0 1 1 0 0 0 0 0 1 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 12 12 14 14 11 7 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 2 4 4 5 4 4 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 0 0 0 0 1 2 2 4 7 10 12 12 12 11 9 7 6 6 5 5 6 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 2 3 2 0 0 0 1 3 4 6 6 10 14 16 16 18 19 19 19 21 28 30 14 0 0 0 4 27 39 44 55 64 80 106 123 126 122 114 99 78 66 63 61 60 64 67 66 62 50 34 24 21 21 22 25 28 30 34 39 47 50 46 37 28 34 52 68 71 61 49 43 43 44 44 50 55 58 63 70 80 93 103 105 94 77 61 48 40 44 58 72 86 102 111 115 111 98 76 54 50 60 68 70 74 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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22 22 21 20 21 20 20 20 21 22 22 23 24 24 20 16 13 8 6 5 5 8 12 17 22 28 35 41 45 47 43 38 33 28 26 30 41 49 50 44 38 37 42 47 47 45 42 42 44 46 46 42 42 44 45 50 66 84 84 74 63 54 46 37 30 27 29 33 38 45 48 51 52 51 54 62 68 68 61 50 37 24 18 16 15 15 17 18 18 16 14 13 10 7 3 0 0 1 1 1 1 0 2 2 2 3 3 3 3 1 0 0 0 0 0 0 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 3 7 11 11 11 13 14 13 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 4 4 4 4 4 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 1 2 2 4 5 6 7 7 7 6 5 5 6 6 5 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 1 3 8 10 6 2 0 0 0 0 1 1 3 8 16 17 8 1 0 0 10 29 36 41 55 74 85 84 72 60 55 54 55 55 56 57 55 51 49 48 50 50 43 30 18 12 9 2 5 7 9 10 12 16 32 45 48 41 31 30 44 62 66 59 46 40 35 31 32 42 50 53 54 57 63 69 72 73 69 60 52 44 40 39 38 42 54 73 93 108 114 108 90 66 58 64 75 83 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
17 16 15 14 13 12 12 12 14 16 18 19 20 21 21 20 20 15 11 8 6 6 9 12 16 20 26 32 38 41 40 33 28 23 18 20 30 43 50 47 41 37 36 38 41 41 38 35 32 30 27 24 22 21 22 28 40 62 76 74 65 54 44 35 29 25 24 28 38 50 58 61 59 54 54 62 70 71 65 54 39 26 20 16 15 15 16 19 21 20 17 14 12 11 7 2 0 0 0 0 0 0 2 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 11 11 12 14 12 9 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 1 2 4 4 5 4 4 5 5 4 3 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 4 5 5 5 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 5 1 0 0 0 0 0 0 0 3 13 16 8 1 0 3 16 31 30 27 42 63 70 64 53 48 46 46 48 49 51 52 48 43 40 39 43 45 41 30 20 16 13 7 3 2 2 3 6 12 23 38 51 49 39 29 40 62 66 62 50 41 36 31 29 35 45 52 54 56 58 60 61 64 60 52 46 41 40 39 38 36 39 50 68 91 106 113 107 87 73 68 72 79 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 12 11 9 8 8 7 7 8 9 10 12 13 14 15 16 16 15 13 12 11 10 10 12 12 12 14 20 26 31 34 34 30 26 20 16 22 35 46 50 47 43 40 39 41 43 41 38 34 30 26 22 18 15 14 17 23 34 49 58 56 53 48 41 33 27 23 24 36 54 68 69 64 58 57 63 69 70 65 57 47 35 25 19 17 17 17 19 20 20 18 12 10 10 9 5 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 11 12 12 10 8 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 1 1 2 3 3 4 5 5 5 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 1 2 2 3 4 4 4 3 3 3 3 3 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 2 3 1 0 0 0 0 0 0 0 0 0 13 17 9 2 1 11 32 46 39 27 38 56 58 52 46 48 50 51 52 52 52 49 42 33 26 25 28 32 34 30 25 22 18 14 5 0 0 0 1 7 19 34 50 51 41 31 42 62 67 62 50 41 36 32 29 29 37 50 51 52 55 57 57 61 58 49 40 34 32 33 35 33 34 36 46 68 86 100 106 101 91 79 73 73 74 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 8 7 6 6 6 6 5 5 5 6 7 8 8 8 8 7 8 10 12 14 14 14 14 13 11 11 15 20 23 30 37 38 36 31 25 22 28 40 49 51 49 45 44 47 50 51 48 44 41 38 34 30 25 21 21 22 25 31 37 42 46 49 47 40 33 27 25 34 55 70 73 67 62 61 64 65 63 62 60 55 47 37 25 21 20 21 21 21 20 15 7 6 6 6 2 0 0 0 0 0 0 1 2 3 3 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 1 2 5 8 10 10 11 11 9 8 7 5 1 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 2 3 4 4 5 5 5 5 5 4 4 4 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 1 2 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 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 12 15 10 5 6 22 43 56 60 61 62 66 62 52 48 51 55 57 57 56 54 48 38 24 13 14 17 20 25 27 28 26 21 13 4 0 0 0 2 8 17 31 46 48 38 32 43 59 64 58 47 41 39 36 33 33 38 48 48 49 51 53 55 59 58 50 38 30 24 22 26 24 28 34 41 52 67 84 98 105 103 94 82 75 71 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 7 7 8 8 8 7 6 6 7 8 8 9 8 7 4 3 5 7 10 13 15 16 15 14 15 15 18 21 21 24 31 39 44 43 38 30 27 35 47 54 55 52 49 50 52 53 52 50 49 48 48 44 40 36 34 33 33 32 31 33 37 42 45 44 41 34 29 31 48 66 73 69 63 61 61 58 53 54 58 58 55 48 37 28 24 24 25 26 21 13 5 3 1 1 0 0 0 0 0 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 10 10 10 9 7 6 6 5 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 1 4 5 6 6 6 5 5 5 4 4 4 4 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 1 1 0 0 0 0 0 1 0 0 5 15 17 11 8 11 25 40 46 53 66 75 79 79 65 56 56 59 60 60 60 57 53 44 30 14 13 15 19 22 25 26 24 16 7 1 0 0 0 3 11 17 29 42 43 34 30 39 53 58 51 44 42 44 46 48 52 54 53 50 49 50 52 55 58 56 50 40 30 17 13 15 16 21 30 38 46 58 74 91 100 105 105 96 88 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 11 12 12 12 11 10 10 10 10 12 12 12 11 10 8 5 5 6 8 10 13 15 14 14 15 16 18 20 17 13 16 29 40 47 48 40 31 32 44 56 62 58 52 50 49 49 50 50 49 48 49 48 47 45 43 43 44 42 37 33 31 33 37 41 43 41 35 29 36 58 72 73 67 60 55 48 44 46 54 61 63 60 51 39 29 26 29 30 24 14 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 10 10 10 8 6 6 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 6 5 5 5 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 2 6 7 8 11 19 28 25 13 10 11 20 29 33 34 39 55 68 78 73 66 62 62 62 64 64 64 62 57 47 32 25 23 23 23 22 19 14 8 3 0 0 0 1 12 16 19 30 41 40 30 27 36 52 61 55 47 44 51 55 57 58 60 58 55 53 52 54 58 59 54 46 38 32 23 14 10 7 11 23 35 45 58 72 87 94 100 104 102 98 94 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 15 14 13 13 13 13 12 14 17 17 16 17 16 14 11 6 5 6 9 10 12 13 12 10 9 9 10 12 12 10 9 16 29 41 48 42 33 32 42 56 63 59 51 45 43 43 45 44 42 41 41 42 43 43 42 44 48 48 44 38 32 29 30 34 40 43 41 36 33 46 66 78 75 62 51 43 40 44 52 62 68 69 63 53 40 32 32 32 26 17 10 5 2 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 2 3 5 8 10 9 10 10 8 6 6 6 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 1 3 5 6 5 4 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 18 21 24 31 38 38 27 16 12 11 14 19 25 28 29 31 41 54 62 64 64 65 66 68 70 70 70 67 62 54 44 35 28 22 16 9 2 0 0 0 0 0 3 13 18 22 33 44 43 31 25 34 54 69 69 64 59 61 60 58 58 59 60 59 58 57 58 61 62 52 44 39 33 27 19 11 8 11 19 31 46 59 74 84 89 93 98 99 99 98 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
26 24 20 24 26 24 25 27 30 34 31 28 30 31 27 23 19 18 17 16 14 13 13 10 6 4 4 5 8 10 11 11 13 18 29 36 34 28 30 40 54 61 58 48 41 39 40 38 34 30 30 32 35 35 33 32 34 38 42 42 40 34 28 26 27 32 38 44 44 37 40 56 80 88 73 54 47 47 50 53 60 70 75 72 65 56 47 37 32 26 18 14 10 6 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 9 10 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 5 5 5 4 4 4 4 4 4 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 2 9 19 28 33 35 34 32 27 17 12 11 10 9 11 17 22 24 24 28 34 44 56 60 64 66 69 71 72 72 70 66 60 50 38 26 18 10 4 0 0 0 0 0 0 4 12 20 26 37 50 49 37 27 34 59 74 76 73 70 67 62 57 55 55 57 59 59 60 61 70 64 51 46 43 39 31 24 19 15 16 21 32 48 60 76 86 92 93 94 95 95 95 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
51 50 51 48 46 45 44 46 46 46 46 49 47 48 50 49 46 43 38 32 25 22 20 15 11 10 12 16 15 14 15 16 16 16 18 21 21 19 26 40 53 60 57 50 43 40 37 28 18 16 19 23 25 24 23 21 21 23 27 32 32 28 22 19 20 24 29 36 44 44 43 52 75 94 91 69 59 62 64 60 58 66 76 78 76 70 60 45 32 25 18 14 15 14 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 8 9 9 10 9 7 6 6 5 3 1 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 4 6 6 5 5 5 5 4 4 4 4 5 6 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 2 5 7 12 20 26 29 30 28 23 17 11 8 9 9 9 7 6 7 10 15 19 22 27 34 41 49 55 59 61 61 61 61 60 57 52 42 30 20 13 5 3 0 0 0 0 0 0 4 13 20 27 40 55 59 55 43 46 64 78 82 80 76 72 66 57 51 48 51 54 55 56 57 59 55 50 47 47 46 42 36 26 21 29 38 43 52 64 78 94 105 103 99 95 93 93 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
62 59 58 49 43 43 39 34 33 32 32 34 36 39 44 53 58 55 51 45 40 38 34 29 28 34 41 36 29 24 22 22 21 18 16 15 14 15 27 43 55 60 58 52 47 41 28 16 11 11 13 16 18 16 15 14 13 11 14 20 23 22 18 16 16 20 23 27 35 43 46 51 68 92 104 92 74 72 78 74 64 64 72 79 80 78 69 52 35 25 17 12 14 18 16 6 1 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 1 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 1 3 4 4 5 8 9 9 10 9 8 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 2 2 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 3 6 6 5 5 5 5 4 5 5 5 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 4 10 15 19 24 25 25 23 20 17 14 11 9 8 9 9 8 7 6 5 5 7 11 16 24 30 33 35 37 41 43 41 38 36 32 33 32 26 20 16 12 6 4 1 0 0 0 0 0 2 9 18 26 41 58 72 82 76 73 75 81 87 90 86 80 74 62 53 48 48 50 51 51 52 52 50 49 49 49 49 46 40 31 30 37 44 50 58 67 78 96 115 111 106 99 94 93 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
40 34 25 20 18 15 11 9 9 8 9 12 16 17 17 19 26 34 40 41 42 40 38 38 45 55 55 46 34 28 26 25 23 21 18 15 14 20 34 49 59 61 57 51 45 34 23 15 11 10 12 12 12 10 8 6 4 3 7 15 23 27 26 23 21 22 23 24 27 35 45 52 62 83 105 106 89 77 78 81 74 66 67 72 75 75 70 60 44 29 18 12 11 13 15 11 6 2 1 0 0 0 1 3 5 8 6 0 0 0 0 0 0 0 0 0 1 4 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 1 2 4 4 4 5 8 9 9 10 9 7 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 2 2 1 0 0 0 1 2 2 0 0 0 0 0 0 0 2 4 5 5 5 5 5 5 4 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 22 23 23 21 19 17 15 13 12 10 9 10 10 10 9 7 7 7 6 6 7 11 21 28 31 32 31 29 25 21 18 15 13 17 19 19 16 13 13 13 11 6 2 0 0 0 0 1 4 14 26 42 56 83 106 108 102 95 92 94 97 100 98 93 79 66 58 53 50 50 50 52 53 54 53 54 55 54 50 46 42 40 42 46 52 60 69 78 95 116 114 109 103 94 89 91 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 8 6 5 4 3 2 3 3 3 4 7 10 11 10 9 11 16 21 26 30 30 30 33 40 50 52 47 38 32 26 23 22 22 21 18 17 25 40 54 60 58 53 47 40 31 22 15 12 12 12 11 9 6 2 1 0 0 10 24 34 39 40 37 33 30 30 29 28 28 39 53 60 73 97 110 102 85 78 82 84 75 66 62 63 64 64 62 51 34 21 14 10 8 9 11 10 6 4 2 2 3 7 10 13 14 8 1 0 0 0 0 0 0 0 1 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 9 9 10 10 7 6 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 3 2 2 2 2 1 1 1 2 2 2 0 0 0 0 0 0 0 0 2 5 6 6 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 22 23 21 18 15 12 12 12 12 11 11 11 12 11 10 8 7 9 10 11 14 12 13 22 27 30 32 30 26 21 14 9 7 6 7 10 11 10 9 14 20 21 14 5 0 0 0 0 0 1 15 30 43 52 71 98 117 123 118 110 109 110 115 119 117 105 90 77 66 59 54 52 55 59 61 61 62 61 60 57 52 48 48 50 52 56 62 68 76 93 111 116 111 105 96 87 87 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 6 6 7 7 8 9 9 9 8 9 10 12 13 13 12 11 11 13 16 20 23 22 21 23 30 42 47 46 41 33 25 22 22 21 19 17 24 38 50 53 51 47 43 38 31 20 15 14 15 16 13 8 3 1 2 5 13 26 41 44 45 45 44 42 39 36 34 32 29 35 54 66 72 87 104 108 97 85 85 90 89 75 60 53 53 56 57 48 34 22 16 11 8 7 9 10 11 10 6 9 13 18 21 22 21 13 3 0 0 0 0 0 2 3 10 10 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 1 1 2 3 4 4 5 9 10 9 9 11 11 9 7 7 6 6 6 6 5 3 1 1 1 2 3 3 2 2 2 1 2 2 2 3 3 3 3 3 2 2 3 3 2 1 1 2 2 2 1 0 0 0 0 0 0 0 2 5 6 6 6 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 22 26 23 19 14 10 8 9 10 10 10 11 12 12 10 7 6 8 15 24 30 32 29 28 28 29 30 30 27 22 16 10 7 6 6 6 6 6 4 4 14 26 28 20 8 1 0 0 0 0 2 15 31 41 46 55 75 105 127 130 124 123 128 131 132 131 126 117 104 90 78 69 65 66 71 75 74 72 69 64 60 55 51 51 54 59 64 66 68 73 84 101 112 111 104 99 92 89 91 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 11 12 12 12 13 14 13 13 13 13 13 12 13 13 14 13 13 12 13 17 20 20 16 15 20 39 52 54 49 41 30 23 20 17 15 12 15 30 42 44 44 44 41 34 25 18 17 18 21 20 13 6 3 4 9 20 33 42 49 44 37 35 38 42 41 38 34 32 30 34 52 70 80 82 90 98 97 89 87 93 96 86 66 51 47 49 48 39 30 22 17 13 10 9 10 11 12 13 17 23 26 29 32 29 23 15 6 0 0 0 1 5 11 18 23 15 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 1 1 1 1 4 5 5 7 10 10 9 10 11 11 10 9 8 7 7 6 7 7 6 4 3 3 4 4 5 4 4 3 3 2 3 3 4 3 3 3 3 2 2 3 3 2 2 1 1 2 2 1 0 0 0 0 0 0 1 4 6 7 6 5 4 2 2 1 1 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 1 6 18 26 26 21 16 11 6 5 5 5 5 6 7 8 9 8 6 6 11 26 37 43 44 41 37 33 30 27 24 20 15 11 8 7 6 5 5 6 5 3 3 12 27 30 22 10 2 0 0 0 0 4 16 30 40 41 43 54 87 118 128 126 125 127 129 130 130 129 127 121 112 102 94 90 92 95 98 96 92 86 78 68 61 52 48 50 57 65 68 68 71 80 91 101 103 102 99 97 95 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 14 14 14 13 13 13 12 12 13 13 13 12 13 14 15 16 15 14 13 15 19 19 18 21 31 48 62 60 52 44 31 22 16 10 6 6 12 26 40 42 40 37 31 24 20 20 21 22 24 21 12 5 3 7 18 37 46 48 45 36 28 25 31 38 40 36 30 27 25 29 45 70 86 86 81 80 83 85 90 97 99 90 71 53 43 39 37 36 31 26 21 15 11 10 11 12 14 19 27 33 33 33 36 29 20 12 5 2 3 6 12 18 24 28 30 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 4 6 7 9 12 10 9 10 11 11 11 10 9 7 7 7 7 8 8 6 6 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 2 0 0 1 2 1 1 0 1 1 1 1 2 5 7 7 5 3 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 1 4 13 23 25 22 16 10 4 1 1 1 1 1 1 2 5 7 8 9 13 24 38 45 48 47 41 35 29 24 19 14 9 8 7 7 6 5 5 6 6 4 2 3 12 27 30 22 12 3 0 0 0 2 7 16 30 37 38 38 41 65 93 112 119 120 120 120 121 121 121 122 122 120 115 112 110 112 116 116 114 112 109 106 98 84 64 51 45 48 55 61 65 69 76 85 90 92 95 98 97 98 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 12 12 12 11 11 11 11 11 12 13 13 14 16 19 21 21 19 16 14 14 17 19 20 30 47 57 59 50 39 28 21 16 10 4 2 7 20 35 43 38 30 26 23 21 22 23 23 23 22 19 12 5 3 8 18 32 38 38 36 33 32 33 36 40 41 36 26 20 18 19 35 64 86 87 74 65 67 79 92 95 87 77 65 51 41 37 37 38 36 33 27 20 13 11 12 14 20 29 37 39 36 33 36 34 28 22 22 22 24 25 26 27 29 33 33 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 7 11 12 11 10 10 11 11 12 12 11 9 7 7 7 7 8 7 7 6 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 2 0 0 0 1 2 1 1 2 2 1 1 2 4 5 4 3 1 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 4 12 20 22 19 14 9 5 1 0 0 0 0 0 0 2 6 10 15 20 28 39 46 47 44 38 32 25 18 13 10 9 8 7 6 6 5 5 6 7 7 5 2 2 9 27 29 22 16 8 4 2 1 3 7 14 24 30 33 35 37 48 66 88 103 107 108 112 114 113 114 115 114 111 108 107 107 109 113 116 116 117 119 121 120 110 93 75 59 48 46 50 57 64 71 79 83 85 88 93 98 101 101 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 10 10 10 10 10 10 11 11 12 12 13 18 21 25 26 25 23 19 16 14 16 18 21 30 43 50 47 36 23 16 14 10 6 5 8 20 36 44 39 29 24 22 21 21 22 22 21 20 19 16 11 6 4 7 12 16 19 24 28 35 41 46 47 45 42 37 27 20 17 16 28 56 78 79 66 58 63 78 94 94 77 69 57 46 42 43 44 42 38 35 30 25 20 15 15 21 30 39 44 43 37 32 34 40 42 40 42 39 38 35 32 31 30 31 34 24 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 1 2 3 3 3 4 5 7 11 13 12 10 10 11 12 13 14 13 11 8 6 7 7 8 7 7 6 5 5 5 5 5 5 4 4 4 4 4 3 3 4 3 3 3 2 2 3 2 1 0 0 1 2 2 2 2 2 1 1 1 1 2 2 1 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 19 16 10 6 2 0 0 0 0 0 0 0 1 4 9 21 32 35 39 44 45 41 33 26 19 13 10 8 8 8 7 6 5 4 3 4 5 7 8 6 3 1 6 20 26 23 18 14 9 4 2 2 6 11 18 25 27 32 34 39 48 64 78 86 90 93 97 100 104 105 103 98 94 93 95 97 100 102 104 107 112 117 120 119 113 105 94 79 57 50 53 59 65 73 79 82 84 89 96 104 105 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 11 12 13 12 12 13 12 12 13 14 16 15 16 20 23 24 24 22 20 17 16 17 18 20 24 34 37 31 22 17 12 9 8 12 22 35 44 41 32 26 23 22 20 19 19 18 18 17 14 12 11 9 7 6 6 6 8 13 24 38 46 53 54 49 43 37 31 26 23 22 30 50 64 63 57 59 69 81 92 92 78 71 61 50 48 50 47 41 38 37 36 36 35 33 34 38 43 47 48 44 37 33 35 44 52 57 56 54 50 42 38 34 27 22 23 23 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 4 5 6 10 13 12 11 11 11 12 12 14 14 14 10 7 6 7 7 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 2 3 2 1 0 0 1 2 2 3 3 2 1 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 18 14 8 3 1 0 1 2 2 0 0 1 2 4 8 17 29 37 38 39 38 34 27 20 14 9 6 7 8 8 7 5 4 4 2 1 2 4 6 7 4 2 2 5 13 22 23 18 14 9 4 0 0 5 7 11 17 21 27 32 36 43 52 60 65 65 68 71 76 81 84 84 82 80 81 84 87 91 92 93 96 102 107 110 111 112 113 113 109 96 80 72 69 70 73 79 82 83 84 90 101 106 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 15 14 13 12 10 10 8 9 10 8 7 8 6 7 9 13 18 22 23 21 19 16 14 13 16 23 27 29 27 22 16 14 17 26 34 38 40 33 27 23 21 20 19 16 14 14 14 12 9 10 19 19 13 7 3 2 4 11 26 41 46 52 54 51 44 38 33 31 30 33 38 49 55 54 54 63 73 78 84 95 95 79 67 61 55 52 49 46 45 48 51 54 55 53 52 54 54 53 50 39 34 35 41 49 57 61 61 59 57 48 45 37 26 16 12 12 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 4 4 6 8 12 13 12 11 11 11 12 13 14 15 14 10 7 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 2 0 0 0 1 2 3 3 3 1 0 0 0 0 0 0 0 0 2 2 3 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 5 19 14 7 2 1 0 0 3 7 6 2 1 2 5 7 11 21 28 30 31 31 28 22 15 10 7 6 6 7 7 7 6 5 4 4 3 2 2 4 6 6 2 0 0 4 9 16 20 14 10 7 4 1 1 4 6 7 10 13 18 23 28 38 45 53 59 60 56 54 55 58 61 62 64 66 68 71 74 78 80 84 89 95 100 102 100 99 101 105 110 111 104 97 93 92 92 91 91 89 84 85 92 99 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 11 9 8 7 5 6 5 5 5 6 6 6 6 5 4 6 10 16 21 24 22 19 16 13 14 16 19 24 29 28 24 23 31 39 41 38 35 30 24 20 20 19 17 14 11 9 10 10 10 16 34 30 18 8 2 0 4 16 31 40 41 43 46 50 48 42 35 32 34 42 50 56 59 59 63 68 71 72 76 86 87 72 62 63 57 50 53 59 66 72 76 75 72 67 63 61 59 55 53 38 35 44 53 60 63 62 58 56 57 53 49 35 20 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 8 11 12 12 10 11 11 10 12 13 14 15 14 10 7 6 6 6 6 7 6 6 5 5 5 5 3 3 4 4 4 4 4 4 4 4 4 4 4 4 2 0 0 0 0 1 3 3 3 1 0 0 0 0 0 0 0 0 2 3 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 0 0 0 0 0 1 11 16 11 5 3 4 4 5 8 10 8 4 2 5 7 9 12 15 17 19 20 20 18 12 8 6 6 7 7 7 7 6 6 5 5 5 4 4 4 5 6 6 2 0 1 4 8 11 11 8 5 5 4 2 1 3 5 7 8 8 11 16 18 30 37 46 54 58 58 56 53 52 52 50 49 53 57 58 57 60 66 72 78 85 89 90 89 90 90 91 93 98 100 100 100 102 106 108 107 104 98 92 90 92 97 101 nan nan nan nan nan nan nan nan nan nan nan nan nan
7 6 6 6 6 5 6 6 6 5 6 8 10 9 7 5 4 6 9 14 21 24 24 21 18 17 16 16 18 24 28 27 28 38 45 46 42 36 31 25 20 19 17 14 10 8 7 8 10 14 24 38 32 18 8 2 1 9 23 33 34 31 32 34 42 49 47 38 33 37 48 60 69 74 75 74 71 68 69 71 77 76 67 60 61 59 56 64 76 89 97 98 94 86 78 70 63 56 51 51 51 57 66 72 72 66 59 53 53 55 52 40 22 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 1 2 3 3 3 4 4 5 7 9 11 11 11 11 11 10 10 11 12 13 14 14 14 12 9 7 6 6 7 6 6 6 5 6 5 4 3 4 5 5 4 4 4 4 3 3 3 4 4 3 1 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 1 2 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 11 7 6 8 8 8 9 9 7 5 6 7 8 9 9 8 8 8 9 10 10 8 7 7 7 8 7 7 7 7 6 5 5 6 5 5 5 6 6 6 4 2 3 5 8 9 8 7 5 5 5 4 2 2 4 5 6 6 7 12 14 21 28 36 45 54 60 61 60 58 56 54 51 48 52 51 47 48 54 61 66 73 76 74 76 80 82 83 84 85 88 90 91 95 101 106 109 110 110 110 107 100 96 95 nan nan nan nan nan nan nan nan nan nan nan nan nan
8 8 8 8 8 8 7 7 7 7 9 11 12 12 12 10 8 6 5 7 14 22 28 28 24 22 21 19 18 19 22 24 24 30 37 40 44 40 38 31 21 15 12 10 7 8 8 9 12 16 25 33 27 18 12 8 9 17 25 26 23 20 21 25 32 43 50 44 37 36 43 57 72 85 91 86 77 72 70 69 69 67 60 60 64 68 71 78 86 96 104 108 105 98 89 77 64 54 52 57 63 75 83 81 73 64 55 50 51 53 48 32 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 6 7 9 10 10 10 10 11 11 11 10 11 12 12 12 13 14 15 15 12 8 6 7 7 7 6 6 6 6 5 4 4 5 5 5 5 5 3 2 1 1 2 2 2 1 0 0 0 0 2 2 1 0 0 1 1 0 0 0 0 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 15 15 11 9 9 9 8 6 6 5 5 7 8 8 7 6 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 5 4 5 5 6 6 7 7 7 6 5 4 5 6 9 9 8 7 6 6 5 4 3 1 1 2 3 4 5 7 9 14 18 23 34 47 58 64 65 64 63 61 59 57 58 56 51 45 44 50 54 63 66 65 64 68 74 79 82 83 84 83 83 88 94 97 99 101 104 109 114 113 106 99 nan nan nan nan nan nan nan nan nan nan nan nan nan
11 12 12 12 12 12 10 10 10 10 12 12 13 14 14 14 12 9 6 5 7 14 24 29 30 28 27 23 19 17 18 18 16 14 18 25 36 41 47 37 19 10 9 8 9 12 13 12 14 16 22 26 24 19 18 18 19 19 18 16 13 11 14 20 29 40 50 50 42 36 36 43 64 86 94 89 81 74 69 64 56 48 49 57 66 74 79 82 86 91 97 103 107 106 97 84 71 65 66 72 77 78 74 68 62 57 50 45 42 44 36 20 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 7 8 10 10 10 9 9 10 11 11 11 11 11 11 10 11 12 13 14 14 14 11 8 8 7 7 7 6 6 6 6 5 5 5 6 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 2 4 4 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 8 16 18 15 11 9 7 4 2 0 4 6 8 8 7 6 5 5 5 5 6 6 6 6 6 6 6 5 4 3 3 3 4 4 5 6 7 7 7 8 8 7 6 5 6 7 8 8 8 8 7 7 6 4 3 1 0 0 0 1 1 4 6 8 9 13 22 34 49 59 64 65 64 61 60 61 63 64 62 55 48 47 48 55 61 61 59 61 66 73 79 82 83 80 80 84 89 92 92 92 92 95 102 112 112 109 nan nan nan nan nan nan nan nan nan nan nan nan nan
15 15 16 16 16 15 14 13 13 12 13 14 14 15 16 16 15 12 10 8 6 7 13 21 28 30 30 27 23 20 18 16 12 6 5 11 24 36 45 31 14 9 10 12 15 18 18 17 16 16 20 24 23 21 21 21 19 16 13 10 9 7 11 22 35 45 52 53 48 40 36 37 51 74 87 85 77 71 68 64 57 53 54 59 65 71 73 75 78 81 86 92 98 101 99 92 87 87 84 79 70 59 53 49 46 43 40 34 32 31 27 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 9 10 11 10 10 9 10 11 12 11 11 11 11 10 10 12 13 14 14 14 13 14 12 11 9 7 7 7 6 6 5 6 5 6 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 1 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 19 13 8 5 2 0 1 5 7 8 8 6 5 5 6 6 6 6 6 6 6 6 6 4 2 1 0 0 1 3 5 6 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 6 4 3 0 0 0 0 0 0 1 3 4 5 6 12 20 34 45 51 53 52 49 49 53 58 63 66 63 56 49 48 51 53 55 56 57 62 68 72 75 76 76 77 80 82 84 84 83 82 85 88 96 104 109 112 nan nan nan nan nan nan nan nan nan nan nan nan
17 16 17 17 17 17 17 17 16 16 16 16 16 16 16 16 15 14 12 10 9 7 6 8 15 22 27 29 28 26 23 19 15 10 8 10 18 28 34 28 16 14 16 19 22 23 23 21 19 18 18 23 24 22 20 18 16 14 11 9 7 6 12 31 47 53 54 52 50 45 41 40 43 59 77 82 76 70 72 76 76 70 66 65 65 65 66 66 67 69 73 79 86 92 95 99 95 91 79 68 54 43 37 34 30 28 27 21 16 19 20 17 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 1 2 1 2 4 5 8 10 11 11 10 9 9 10 11 12 11 11 11 11 11 12 13 14 14 15 14 13 14 15 14 13 10 8 7 6 6 5 5 5 5 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 1 2 4 4 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 2 10 19 22 15 8 4 1 0 3 6 9 9 7 6 5 6 6 7 7 7 6 6 6 5 4 2 0 0 0 0 1 4 6 8 8 9 8 8 9 9 8 8 7 7 7 7 7 8 9 8 7 6 4 2 0 0 0 0 0 0 0 0 1 2 1 8 12 22 29 32 34 34 33 35 39 45 52 57 60 56 50 46 46 45 43 43 50 58 64 67 68 69 71 73 76 76 74 72 70 71 74 79 84 92 100 106 nan nan nan nan nan nan nan nan nan nan nan nan
18 16 17 18 18 18 18 18 18 18 18 18 18 17 16 15 16 16 14 13 12 10 8 7 5 8 13 21 27 30 27 22 18 17 16 17 20 25 31 33 28 22 22 24 26 26 26 24 22 20 18 21 24 24 20 17 14 11 10 9 8 10 22 42 58 57 50 46 44 43 43 43 42 46 61 72 68 61 68 78 80 75 70 67 63 59 58 58 60 60 61 68 76 84 94 99 84 68 58 59 51 38 28 23 19 19 20 14 11 12 16 13 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 1 2 3 3 4 5 5 8 10 11 11 10 9 9 10 12 12 11 11 10 11 12 13 14 14 14 15 15 13 14 14 15 14 14 10 8 7 6 6 6 5 5 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 1 3 4 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 1 6 14 21 19 10 4 1 1 5 10 12 10 7 6 6 6 7 8 7 6 5 4 3 2 1 0 0 0 0 0 2 5 7 8 8 9 8 8 9 8 8 7 6 5 5 5 6 8 8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 1 6 11 15 16 17 20 23 27 29 31 34 38 43 48 49 47 43 40 36 35 35 39 47 54 60 61 60 63 67 70 71 67 63 60 59 62 67 74 81 88 95 nan nan nan nan nan nan nan nan nan nan nan nan
18 16 15 16 17 17 18 18 18 18 18 18 18 18 17 16 16 16 16 15 13 12 11 10 9 6 6 9 16 22 25 24 21 20 22 24 24 24 29 35 36 31 27 26 27 29 28 26 24 21 19 20 23 26 23 18 13 9 9 10 12 18 29 45 58 55 40 33 34 35 39 42 44 44 46 52 48 37 48 62 67 69 67 64 60 56 55 56 60 60 59 65 78 90 94 82 61 50 55 58 50 32 19 16 15 17 16 10 6 6 5 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 1 2 4 4 4 5 5 8 11 12 10 9 9 9 10 11 11 11 12 10 11 12 13 14 14 14 14 14 14 13 14 13 13 14 13 10 8 7 6 6 6 6 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 1 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 1 3 5 9 18 24 16 6 2 4 11 18 19 12 7 7 7 7 7 7 6 4 3 1 1 0 0 0 0 0 0 0 2 5 6 7 7 7 7 8 8 7 6 4 2 2 2 3 4 6 6 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 2 5 10 14 14 14 14 16 23 27 28 28 28 30 31 34 38 37 33 28 26 26 28 32 37 41 45 48 51 57 62 64 62 57 54 52 53 56 61 68 75 82 nan nan nan nan nan nan nan nan nan nan nan nan
17 16 14 14 15 15 16 17 18 18 18 18 19 19 18 17 16 15 15 15 15 14 12 11 11 10 8 6 7 10 15 18 20 21 24 26 26 25 26 33 37 36 31 27 27 29 29 27 25 22 20 20 22 26 27 21 14 10 10 13 16 20 28 42 54 50 32 20 19 23 30 39 47 50 49 45 37 29 35 48 58 62 62 61 60 59 58 60 64 66 65 71 89 100 88 61 46 47 51 47 36 25 18 15 11 9 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 8 11 12 11 10 9 9 10 10 10 11 12 10 10 12 14 14 13 14 14 14 14 14 14 13 12 13 14 12 10 8 7 6 7 6 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 1 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 1 4 8 6 8 17 28 25 14 9 13 23 28 23 13 7 7 7 7 6 5 3 2 1 0 0 0 0 0 0 0 0 1 3 5 5 4 4 5 5 6 6 4 1 0 0 0 0 1 2 1 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 13 14 13 13 14 16 18 20 19 19 19 19 22 26 27 23 17 15 17 19 21 23 26 28 31 36 42 48 52 53 51 48 47 46 47 49 54 59 67 69 nan nan nan nan nan nan nan nan nan nan nan
15 15 14 14 14 14 14 15 16 17 18 18 18 18 18 16 15 14 13 13 13 14 14 13 13 13 11 9 7 6 8 10 12 16 20 24 27 27 26 28 34 37 34 30 27 28 29 27 26 23 22 20 21 25 28 24 17 13 13 15 17 19 28 43 52 44 26 13 10 11 19 32 48 56 55 49 41 35 34 37 44 51 55 60 63 64 63 64 66 71 74 83 103 104 77 53 45 42 37 31 28 24 17 11 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 1 3 4 5 5 5 6 8 11 12 11 10 9 9 10 10 10 10 11 10 11 12 13 13 13 14 14 14 14 14 14 13 12 13 14 13 10 7 6 6 6 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 12 8 10 20 32 32 23 20 26 32 30 18 9 6 6 6 6 6 4 2 0 0 0 0 0 0 0 0 0 1 2 3 4 4 2 1 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 1 3 5 10 13 14 14 14 14 13 12 11 12 12 14 15 15 16 13 9 6 6 8 10 13 16 18 21 25 30 35 39 40 39 38 38 40 40 41 42 45 50 53 nan nan nan nan nan nan nan nan nan nan nan
14 15 14 14 14 14 14 14 15 16 17 17 17 16 15 14 13 13 12 12 12 12 13 14 15 14 13 12 11 8 7 7 7 9 12 17 22 26 27 28 28 34 36 32 28 27 27 26 25 24 24 21 20 23 27 27 21 17 15 15 17 26 40 52 49 34 20 12 10 8 10 21 39 54 58 51 43 36 31 28 30 38 47 58 61 65 65 63 66 73 82 92 99 89 65 48 39 31 25 22 20 15 8 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 1 1 2 4 5 6 5 6 7 10 12 11 10 10 9 10 10 10 9 10 10 11 12 12 13 13 13 14 14 14 15 14 13 12 13 13 12 9 6 6 6 6 6 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 4 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 1 14 16 14 19 28 36 36 31 29 32 30 22 10 5 4 5 5 5 3 1 0 0 0 0 0 0 0 0 0 1 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 2 4 7 11 13 13 13 12 10 7 4 5 6 7 9 9 7 5 3 1 0 0 1 3 4 6 10 14 21 28 33 35 32 30 29 28 28 31 33 33 35 38 nan nan nan nan nan nan nan nan nan nan nan
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17 15 14 14 13 13 12 13 13 14 14 14 15 15 15 14 14 14 14 14 15 15 15 15 15 15 15 14 14 14 15 15 14 14 14 14 13 13 13 13 12 10 9 8 7 6 6 7 12 22 31 31 22 11 6 6 11 19 24 27 27 23 20 17 16 20 32 43 55 62 62 57 52 51 53 52 53 57 60 62 60 52 42 29 26 33 42 49 55 62 71 76 67 45 30 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 2 4 6 8 10 9 8 8 9 9 8 6 5 5 6 8 10 11 9 6 4 4 4 5 6 5 5 5 4 5 6 6 5 5 6 6 5 4 3 3 4 4 3 2 2 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 4 0 0 1 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 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 2 6 9 10 10 9 6 4 2 0 0 nan nan nan nan nan nan nan nan
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14 13 12 12 12 13 13 13 14 14 15 15 15 15 14 14 14 14 14 14 14 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 10 10 11 11 10 9 8 7 6 6 9 16 27 32 24 13 7 6 9 16 22 24 21 17 14 16 19 21 22 29 41 52 54 51 46 41 38 37 39 44 45 42 35 28 27 35 47 56 58 60 71 84 80 62 45 32 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 10 10 10 9 9 9 7 5 4 4 5 5 9 10 6 5 4 4 4 4 5 5 5 5 5 5 4 2 1 1 3 3 3 1 0 1 2 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 7 9 9 8 7 6 nan nan nan nan nan nan nan
12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 12 11 10 9 10 10 10 10 9 7 6 6 7 10 19 30 31 20 10 6 6 12 20 24 24 19 15 16 20 22 21 20 26 37 43 41 35 30 28 28 30 33 33 29 26 27 35 48 58 62 63 70 84 84 66 46 34 23 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 9 10 10 9 9 9 7 5 4 4 4 4 7 8 6 5 5 4 4 4 4 5 5 4 5 4 4 2 1 0 1 1 1 1 0 0 0 1 2 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 5 5 5 6 8 10 11 10 9 8 nan nan nan nan nan nan nan
13 12 12 12 12 12 12 13 13 13 14 14 14 15 15 15 14 14 14 14 15 15 16 16 16 15 15 14 14 14 14 13 13 13 13 13 12 12 10 9 8 8 9 9 10 9 8 6 6 6 7 13 24 33 30 15 7 5 8 16 24 27 23 18 18 20 23 22 20 21 27 33 34 29 25 23 23 24 25 24 21 23 30 42 54 61 66 72 81 86 71 50 26 13 8 5 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 0 0 0 0 0 0 1 3 4 5 8 10 8 8 10 9 6 4 4 4 4 4 5 6 5 5 4 4 4 4 4 5 4 4 4 2 2 1 0 0 0 0 0 1 2 2 1 1 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 1 1 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 5 7 8 8 10 12 13 12 11 9 nan nan nan nan nan nan nan
14 13 13 13 12 12 13 13 13 13 14 14 14 15 15 15 15 15 15 15 15 15 16 16 16 16 15 14 14 14 13 13 13 13 13 13 13 12 11 9 7 7 7 8 9 9 8 7 6 5 6 9 18 29 34 24 9 5 4 12 22 28 28 24 21 21 24 25 24 23 24 27 29 28 25 23 22 22 21 19 19 22 30 41 52 60 68 79 85 81 63 43 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 7 8 10 9 6 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 1 2 3 2 2 1 1 3 4 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 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 1 2 3 4 4 5 5 5 4 4 4 4 6 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 1 5 8 10 10 10 11 11 12 11 10 nan nan nan nan nan nan nan
14 13 13 13 13 13 13 13 13 13 14 14 14 15 15 15 16 15 15 15 15 16 16 16 17 16 15 15 14 14 13 13 13 14 15 14 14 12 11 9 7 6 6 7 8 8 8 8 6 4 4 6 12 23 33 32 18 6 3 7 17 25 30 30 28 27 30 31 30 28 27 28 28 28 27 24 22 22 21 20 19 22 30 39 51 61 70 77 84 82 64 37 11 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 1 2 3 5 7 7 8 10 9 7 5 4 4 4 4 5 5 5 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 7 6 5 3 2 1 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 2 3 4 5 5 5 6 6 6 6 6 7 8 9 9 9 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 10 10 10 9 10 10 10 10 nan nan nan nan nan nan
13 13 14 14 14 14 14 14 14 14 13 13 14 14 14 14 15 15 16 16 16 16 17 17 17 16 16 15 14 14 13 13 14 14 14 14 13 12 11 9 8 7 6 7 8 8 8 8 7 5 4 4 6 16 27 34 29 14 4 4 12 20 31 36 35 33 33 34 35 34 33 32 30 28 26 22 20 20 22 23 24 27 32 39 50 61 68 73 79 75 53 28 14 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 0 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 7 8 9 10 10 8 7 6 5 5 5 5 5 5 4 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 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 2 5 6 8 8 9 10 9 8 6 4 2 1 1 0 0 0 0 0 0 2 3 4 3 2 1 0 0 1 2 3 4 4 5 6 6 6 6 6 6 7 8 9 10 11 11 10 10 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 9 9 9 9 9 9 9 9 nan nan nan nan nan nan
13 13 14 14 14 14 14 14 14 14 13 13 13 13 14 14 14 15 16 17 17 17 18 18 18 17 16 15 14 14 14 14 14 14 13 14 12 11 10 10 9 8 7 7 7 7 7 7 7 6 5 4 4 9 19 30 34 25 12 6 7 15 26 36 37 34 32 31 31 33 34 34 32 29 24 20 18 17 19 25 30 33 35 39 47 58 66 72 64 53 33 18 10 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 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 8 9 9 8 8 7 8 8 7 5 5 4 4 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 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 2 5 7 9 10 10 11 10 9 8 6 5 4 3 2 1 0 0 0 0 2 3 5 4 3 2 1 0 2 3 3 6 8 8 8 7 8 8 7 8 9 10 12 12 12 12 12 11 10 8 7 6 4 2 1 0 1 1 1 1 1 2 2 3 2 1 0 0 1 2 3 4 5 8 9 9 9 8 8 7 7 7 nan nan nan nan nan nan
12 13 13 13 13 14 14 13 13 13 13 13 13 13 14 14 14 15 16 17 18 18 18 18 18 17 16 15 14 14 14 14 14 14 13 12 11 10 10 10 9 9 8 7 7 6 7 7 7 7 7 5 4 4 12 22 31 32 23 12 7 10 20 28 32 30 28 26 25 26 28 28 29 29 26 23 19 16 16 21 30 35 36 40 47 57 66 67 53 43 27 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 7 7 7 7 8 7 5 4 4 4 2 2 2 1 0 0 0 0 0 0 0 1 1 2 2 1 1 1 2 2 3 3 3 3 3 2 2 3 4 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 10 10 10 10 9 9 8 7 6 5 4 3 2 2 1 3 4 5 5 4 4 4 3 6 10 14 18 18 16 14 12 9 9 9 10 11 12 13 14 14 14 13 13 12 11 10 9 8 6 4 4 4 5 5 5 5 6 7 8 6 5 4 3 4 6 8 8 8 9 10 10 9 7 6 5 6 6 nan nan nan nan nan nan
12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 15 16 17 17 17 17 18 17 16 15 14 14 14 14 14 14 13 12 11 10 10 10 10 9 9 8 7 6 7 7 7 7 8 7 5 4 8 16 24 32 31 22 12 9 13 20 25 26 27 26 23 20 19 20 22 26 27 24 21 17 15 16 22 31 38 45 52 61 69 68 52 32 28 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 6 8 7 6 6 6 6 7 7 6 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 9 9 9 10 10 10 9 8 7 6 6 5 5 5 5 5 5 5 6 8 12 16 21 26 29 30 28 25 22 19 13 11 10 11 12 12 13 14 14 14 15 15 16 15 14 14 13 12 11 10 10 11 13 17 17 16 19 19 16 12 9 8 8 10 12 12 14 15 14 12 11 9 6 6 6 7 7 nan nan nan nan nan
11 11 11 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 14 14 15 16 16 16 16 16 16 15 14 14 14 14 14 14 13 12 11 10 10 10 10 10 9 8 8 8 8 7 7 7 7 8 7 5 6 11 20 26 32 31 22 13 12 16 20 23 25 29 30 25 20 18 19 21 22 21 20 18 16 14 16 24 35 48 59 68 69 60 46 33 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 7 6 6 6 6 6 8 8 6 4 4 4 3 2 1 0 0 0 0 0 0 0 0 1 2 3 3 4 4 5 4 3 3 3 3 3 4 5 6 6 6 6 5 3 2 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 1 1 1 1 3 4 6 7 8 9 9 10 11 11 11 10 9 8 8 8 8 7 7 8 8 8 11 17 25 33 38 39 38 35 32 29 26 24 19 15 13 13 13 13 13 13 13 13 14 14 15 16 16 16 16 18 19 19 20 24 32 42 48 48 46 42 36 29 19 14 14 16 20 26 29 29 25 20 15 12 8 7 7 8 9 nan nan nan nan nan
10 10 10 11 11 11 12 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 14 14 14 14 14 14 14 13 12 11 10 10 10 10 10 10 9 9 9 9 8 8 7 7 8 8 7 5 8 16 23 28 34 31 22 15 15 18 21 24 29 35 34 30 26 24 20 17 16 17 18 17 15 14 18 27 42 60 73 73 66 54 36 18 4 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 2 6 8 8 6 6 6 6 6 8 10 8 6 5 4 3 3 2 2 1 0 0 0 0 0 1 1 1 1 1 3 4 5 5 4 3 3 3 3 3 4 7 10 10 9 7 4 2 2 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 1 2 2 4 4 4 4 3 4 5 6 8 9 10 10 11 11 11 10 11 12 12 12 13 13 13 15 19 22 26 31 37 42 43 41 37 33 30 30 30 29 26 20 15 14 14 14 14 14 13 12 12 11 9 7 8 9 10 13 17 20 22 27 36 46 59 68 65 56 47 42 35 29 26 29 35 44 50 47 40 34 28 20 12 7 7 8 9 nan nan nan nan nan
8 9 9 9 9 10 10 10 11 11 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 15 14 14 14 15 15 15 14 14 14 13 12 12 10 10 10 10 10 9 10 11 10 10 9 8 7 7 8 8 7 6 11 18 24 29 34 32 24 20 19 20 23 26 31 35 35 34 30 25 20 17 17 18 19 19 17 16 19 30 48 64 66 56 37 19 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 6 6 6 7 7 8 10 10 9 7 5 4 3 2 2 2 1 0 0 1 2 2 2 2 1 0 1 2 2 2 2 2 3 3 3 3 3 4 8 10 11 9 6 5 3 2 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 1 2 1 1 2 4 5 6 8 11 11 9 8 7 6 6 8 9 10 11 12 12 11 12 16 18 20 21 23 24 27 30 37 41 43 44 43 42 39 36 33 31 29 30 32 34 32 27 19 16 15 14 14 14 13 12 10 8 2 0 1 0 1 3 4 6 10 13 16 21 27 35 41 39 33 27 28 29 30 34 41 47 53 51 45 40 36 29 18 9 7 7 6 nan nan nan nan nan
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