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 4 4 4 3 2 2 3 3 3 3 4 5 6 6 7 6 5 5 5 5 5 5 4 3 4 5 6 6 5 4 4 3 2 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 3 3 3 2 2 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 5 5 6 7 8 8 8 7 6 6 6 6 6 8 9 9 7 5 4 1 -1 1 5 4 4 2 -3 -6 8 10 3 2 5 2 8 12 6 4 5 4 2 4 6 -3 -4 3 6 5 7 6 -1 -1 2 6 5 -0 -1 9 17 10 -3 -3 1 1 3 1 -0 4 4 2 -4 -7 -1 5 7 9 5 -1 1 2 2 1 -2 -1 4 5 3 7 25 43 34 14 6 5 4 4 3 3 4 5 6 8 11 13 15 14 11 7 4 4 4 3 3 3 4 4 4 4 4 5 5 6 6 6 7 6 6 5 3 2 2 3 3 3 3 5 8 8 7 6 6 6 5 5 4 4 4 4 4 4 5 5 6 5 5 6 6 5 4 7 9 4 4 5 6 6 5 5 5 5 6 6 5 5 5 5 5 4 4 5 4 4 4 4 4 3 3 4 4 4 6 7 6 4 4 4 5 6 6 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 6 5 5 5 5 4 4 5 5 9 20 29 21 13 8 6 4 -1 -5 -9 -8 -15 -8 -2 -4 -3 -0 2 1 -3 -5 -10 -20 -22 -16 -13 -14 -12 -7 2 5 5 6 8 11 16 21 21 19 16 12 10 8 7 7 9 10 11 15 17 14 14 15 13 10 7 8 7 6 6 5 5 5 5 5 6 7 8 8 7 7 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 3 4 3 3 2 2 2 2 2 3 4 5 5 6 6 5 5 5 5 6 6 6 5 4 4 5 5 6 6 5 4 4 3 2 1 1 1 1 2 2 2 3 3 4 3 3 3 4 4 4 4 4 4 3 4 3 3 3 3 2 3 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 5 5 6 7 8 8 7 6 6 6 6 6 7 8 8 6 4 3 2 0 2 5 4 9 12 5 7 8 7 7 5 7 4 3 4 6 9 9 4 6 13 10 3 -0 2 4 7 12 6 -3 -3 1 6 8 4 -5 -3 13 14 3 -3 -1 6 8 3 3 6 6 4 3 -2 -5 -3 1 6 5 3 2 -1 -0 2 3 6 10 9 9 20 36 38 21 7 6 5 4 4 3 3 4 5 7 8 10 13 14 14 11 8 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 3 2 2 2 3 3 3 2 2 5 8 7 6 5 5 5 5 4 3 2 3 5 5 5 5 6 5 5 6 5 5 4 5 2 -1 2 3 3 3 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 4 4 3 3 3 3 4 4 5 6 7 6 4 4 4 5 5 6 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 7 6 7 7 6 6 5 5 5 5 4 4 4 4 5 11 21 26 25 19 15 11 10 8 7 2 0 -2 -0 1 5 5 6 8 7 5 3 -1 -5 -7 -4 -7 -9 -7 -2 4 5 5 5 6 7 10 12 14 11 5 4 5 5 5 6 6 7 8 8 8 9 9 7 6 6 5 6 5 5 6 6 6 6 6 6 7 8 8 7 7 6 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 0 -0 1 3 4 3 2 1 1 1 1 2 3 3 3 4 5 4 5 5 5 5 6 6 6 5 4 5 5 6 6 5 5 5 4 3 2 2 1 1 2 2 3 3 4 4 3 3 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 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 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 6 6 5 5 5 6 7 7 7 7 6 6 6 6 7 8 7 6 4 1 1 6 7 3 2 9 15 6 5 4 0 4 8 7 3 1 1 3 6 7 2 5 11 11 8 3 1 1 8 13 7 3 1 3 6 8 7 2 -3 1 4 4 4 6 9 4 1 5 8 10 7 6 1 -2 -3 -3 4 9 5 -1 -3 1 5 9 11 10 8 18 35 39 23 9 6 5 5 4 4 4 4 5 6 7 9 10 12 14 14 12 9 7 6 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 5 4 2 2 2 3 4 3 2 1 1 0 -2 3 6 5 5 5 5 5 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 -5 -11 -3 -1 -4 -5 1 4 4 4 4 4 4 4 4 3 3 2 3 3 4 3 3 3 2 2 3 4 5 6 7 7 5 4 4 4 5 5 6 5 5 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 3 4 7 16 21 23 19 10 8 7 3 2 6 5 4 4 7 5 6 9 10 9 7 5 8 7 8 7 4 3 2 2 4 4 5 5 5 6 7 8 7 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 6 5 5 6 6 6 6 6 5 6 6 6 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 0 -1 -0 2 3 3 3 2 1 1 0 1 1 1 2 3 3 4 3 4 4 4 5 5 4 4 4 5 5 6 6 6 5 5 5 4 4 3 3 2 2 2 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 4 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 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 4 4 6 6 5 4 4 5 5 6 7 7 7 6 6 7 7 7 7 6 3 1 -2 4 7 1 0 4 7 2 -2 3 2 -0 8 8 1 -1 4 5 4 3 0 1 5 10 6 2 0 1 5 7 6 10 9 8 8 6 6 7 7 2 -1 1 7 16 17 4 -3 4 13 16 11 3 -3 -2 2 3 7 7 2 -2 -0 3 9 13 12 13 20 34 41 29 12 6 6 5 4 4 4 4 5 6 7 8 9 10 12 14 14 12 10 8 6 5 5 5 5 4 4 4 4 4 5 5 6 6 6 5 4 3 2 2 3 4 4 2 1 1 1 -2 -3 3 6 5 5 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 5 -2 -13 -9 -3 -5 -5 -0 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 5 6 7 7 6 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 2 1 1 1 3 8 16 17 11 8 7 4 2 5 9 10 8 8 7 6 8 10 8 7 7 6 8 11 13 9 6 4 4 4 4 4 4 5 6 6 6 5 5 5 4 4 4 4 4 4 5 4 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 0 0 1 2 2 3 3 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 4 6 7 7 7 6 5 5 4 4 4 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 4 4 5 6 5 4 4 4 5 6 6 6 7 6 7 7 8 7 6 5 4 1 -3 -2 5 6 5 4 0 -2 7 12 7 1 7 11 2 -3 4 9 7 2 -1 -0 4 5 2 0 1 7 8 6 2 11 13 12 10 4 3 7 10 7 5 3 7 14 16 10 1 6 12 11 9 6 2 4 4 3 1 0 1 2 3 7 12 15 17 24 37 42 32 16 6 5 5 5 4 4 4 5 5 6 7 8 9 10 12 13 13 12 9 7 6 5 5 4 5 4 4 3 4 4 6 6 6 6 5 4 3 2 2 2 3 4 4 2 2 2 2 3 7 6 5 5 4 3 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 3 -3 -9 -4 8 9 5 4 4 4 3 2 2 2 2 2 1 2 2 2 2 3 4 4 4 5 5 6 7 7 7 6 5 4 4 5 5 5 5 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 3 2 1 -1 -2 -3 -3 -4 -4 -2 3 8 9 7 7 7 6 8 10 12 12 10 8 8 10 14 11 8 12 15 14 10 8 6 5 4 4 3 3 4 5 5 6 6 5 5 5 5 5 4 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 3 3 1 1 2 3 3 2 2 2 2 2 1 1 2 2 1 2 2 2 2 3 3 2 2 2 3 5 7 8 8 7 5 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 5 4 3 4 4 5 5 5 5 5 6 6 7 7 6 6 6 6 6 5 4 4 5 6 6 5 5 5 5 5 5 6 6 7 7 8 8 7 6 5 5 3 -0 1 7 9 7 7 -0 -2 13 16 8 4 3 7 5 1 2 8 8 3 2 2 0 -3 0 3 3 7 14 15 6 7 11 12 8 0 -0 6 8 5 3 5 6 6 6 8 10 12 10 6 6 8 11 9 3 1 0 1 4 5 8 11 15 19 25 34 39 30 16 8 5 5 5 4 4 4 5 5 6 6 7 8 9 10 11 12 12 11 9 7 6 5 4 4 4 4 3 3 4 5 6 6 6 5 4 3 2 2 2 3 5 4 3 2 2 3 3 5 7 6 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 -3 -3 7 13 9 4 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 5 5 6 7 7 7 7 6 5 4 4 4 4 5 5 5 5 6 5 5 4 3 3 2 2 2 2 1 3 3 3 3 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 2 0 -3 -7 -10 -11 -10 -12 -11 -7 -3 1 5 6 6 6 8 10 10 9 9 10 14 12 11 20 19 17 19 17 11 6 4 3 4 4 4 3 2 2 3 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 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 5 5 5 5 4 3 3 3 3 2 2 2 3 3 2 2 3 2 2 1 1 2 3 3 3 2 2 1 2 3 5 7 8 8 6 5 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 5 6 6 7 8 8 8 7 6 7 7 6 5 4 5 6 5 5 4 5 6 5 5 5 6 6 7 8 8 7 6 5 5 4 3 4 8 8 8 10 7 4 9 5 5 8 5 3 6 5 3 7 6 2 5 10 3 -2 4 5 1 2 11 14 10 5 9 10 5 -1 2 10 5 1 -2 2 4 9 5 -1 1 7 9 6 3 7 10 10 3 -1 4 5 4 7 11 13 16 22 29 34 30 16 8 6 5 5 5 4 4 4 5 6 6 7 7 8 9 10 11 11 10 10 8 6 6 5 4 4 4 3 3 3 4 5 6 6 6 5 3 3 2 2 3 4 5 4 2 2 3 4 3 3 6 5 5 5 4 5 5 5 5 5 5 6 6 6 5 5 5 5 4 5 5 5 4 4 5 4 -2 -6 0 5 4 3 3 2 2 2 2 3 3 4 4 4 4 4 5 5 6 6 7 7 8 7 6 6 5 3 3 4 4 5 5 5 5 5 5 5 5 4 4 3 2 2 1 2 2 3 2 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 2 1 -0 -4 -9 -10 -9 -8 -7 -8 -6 -1 2 4 5 6 6 6 9 9 7 7 6 9 12 13 18 19 15 12 8 7 6 5 3 3 4 4 3 1 -2 -3 -1 3 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 5 6 5 4 4 4 3 3 2 2 2 2 2 3 4 4 3 2 2 2 4 4 4 3 2 1 1 1 2 5 7 7 6 5 4 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 7 7 8 9 9 8 7 7 7 7 6 5 5 5 6 5 4 5 5 6 6 6 6 7 7 8 8 7 6 6 6 5 4 3 5 7 9 11 11 11 9 3 3 6 6 3 6 7 5 7 2 -2 4 10 8 5 7 3 -1 1 6 6 8 5 8 8 4 1 12 15 6 2 -2 -3 4 15 6 -1 2 3 2 3 2 3 5 6 3 2 6 6 2 4 9 13 16 23 31 32 21 10 6 5 5 5 4 4 4 4 5 6 6 7 7 9 9 10 10 10 10 9 7 6 5 4 4 4 3 3 4 4 4 5 5 5 5 4 3 3 2 3 4 4 4 4 2 2 3 3 3 3 5 8 8 6 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 6 3 -3 -4 1 3 2 2 1 1 2 3 4 6 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 5 4 3 3 4 5 5 5 5 5 4 4 5 5 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 3 3 2 1 -1 -2 -2 -2 -1 -1 0 3 2 1 2 4 4 4 6 6 4 6 6 6 10 7 1 2 6 9 10 6 4 6 7 8 7 6 5 4 4 5 4 -1 -10 -10 -5 3 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 5 5 5 5 5 5 4 3 3 2 2 2 3 5 5 4 3 2 3 4 4 5 4 3 2 2 1 2 3 4 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 7 7 7 7 7 8 9 10 9 9 8 8 8 6 5 4 5 6 6 5 5 5 6 6 6 7 7 7 8 8 7 7 7 6 5 4 3 3 5 8 9 8 11 9 5 6 9 7 3 4 5 5 8 4 1 0 1 7 5 6 5 3 5 4 4 7 5 6 4 1 5 16 14 10 10 4 -4 4 11 1 2 12 9 2 2 3 2 4 0 1 3 6 5 2 3 10 14 16 24 31 26 14 7 6 6 5 4 4 4 4 5 5 6 6 7 8 8 9 9 9 9 9 8 7 5 4 4 4 3 3 3 4 4 4 4 4 5 5 4 3 3 3 4 4 4 3 3 3 2 2 3 4 3 6 15 17 12 9 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 5 5 6 8 6 -0 -1 2 2 2 1 1 2 4 6 7 9 8 7 7 7 7 7 7 7 7 6 6 5 5 6 5 5 4 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 2 2 2 2 2 2 3 3 3 4 4 4 4 4 3 2 -3 -7 -2 3 4 3 3 4 4 4 3 3 3 3 3 5 6 5 5 7 14 15 6 -1 0 3 4 3 3 4 6 7 8 7 6 5 6 8 11 8 -0 -7 -10 -3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 6 6 6 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 5 4 4 4 5 6 6 5 5 4 3 3 4 5 5 5 4 3 3 4 4 5 5 5 4 4 3 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 5 5 5 5 5 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 9 10 10 10 10 9 9 8 7 6 4 4 6 7 6 5 5 6 6 7 8 8 8 8 8 8 8 7 7 6 5 3 4 6 9 9 6 5 4 3 7 9 7 7 8 5 3 8 9 7 3 1 5 4 5 7 6 5 3 2 3 2 2 0 -2 8 14 9 11 14 7 -2 6 6 4 6 6 7 6 1 3 3 5 3 3 4 4 4 5 6 10 11 13 22 26 18 9 6 6 5 5 4 4 4 4 5 5 6 6 7 8 8 8 8 8 8 8 7 6 5 4 4 4 3 3 4 4 4 5 4 5 4 4 4 3 3 3 4 4 3 3 3 3 2 2 3 4 4 6 14 19 20 19 15 13 11 10 8 7 6 6 5 5 6 7 6 5 5 5 6 6 6 6 6 8 8 5 3 3 2 2 1 1 2 4 7 8 9 9 8 8 8 7 8 7 7 6 6 5 5 5 6 5 5 4 3 3 3 3 3 4 5 5 6 6 5 5 4 5 5 4 5 5 5 4 4 3 2 2 2 2 2 2 2 2 3 4 4 3 4 5 3 -2 -0 3 4 4 4 4 2 2 3 2 2 3 5 7 11 10 9 10 14 18 14 5 3 4 3 3 3 4 5 5 6 7 7 6 7 9 14 18 14 11 5 -1 2 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 8 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 5 5 4 3 5 6 6 6 5 5 4 4 5 5 6 5 5 4 3 3 4 5 5 5 4 5 5 5 4 5 5 5 4 4 5 3 3 3 3 3 3 2 3 3 5 6 5 5 5 5 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 3 4 3 3 3 3 4 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 4 4 5 5 5 5 6 6 7 8 8 7 7 6 7 8 9 10 11 11 11 11 10 9 7 6 4 4 5 7 7 6 6 6 6 7 8 8 8 7 7 8 8 8 8 7 5 4 4 6 12 11 6 3 1 0 4 8 5 5 6 4 4 8 11 8 6 6 3 3 4 5 4 2 2 2 1 1 4 0 -4 8 9 4 9 13 6 1 5 2 6 9 4 5 4 -1 1 4 6 8 8 6 6 6 5 5 4 3 8 18 18 11 7 6 6 5 5 4 3 4 4 5 5 6 7 7 8 8 8 8 8 8 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 4 4 4 3 3 3 3 3 2 3 3 4 4 6 12 18 21 21 21 20 17 15 14 13 11 9 7 6 6 6 6 6 6 7 7 8 8 8 9 10 12 8 4 3 2 1 2 3 5 6 8 9 8 8 8 8 8 7 7 6 6 6 5 5 5 6 6 5 4 3 2 1 2 2 2 3 4 5 6 5 5 5 5 5 4 4 4 5 5 4 4 4 3 2 2 1 0 0 -0 1 2 2 2 3 4 8 7 5 4 4 3 4 5 3 4 5 5 5 6 9 15 17 16 13 10 9 10 10 7 4 4 4 3 3 3 3 4 5 5 6 7 6 8 11 17 16 13 12 6 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 9 8 7 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 6 6 7 6 6 5 5 5 6 6 6 6 5 5 5 5 5 6 5 5 4 4 3 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 5 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 7 8 8 7 7 6 7 8 10 11 12 12 12 12 12 10 8 6 4 4 5 7 7 7 6 6 7 8 9 9 8 7 7 8 8 8 7 6 5 5 7 10 14 11 7 2 -0 1 4 7 8 2 -1 -1 3 6 6 3 3 5 3 5 5 6 5 3 5 11 7 1 5 2 -1 5 5 1 6 11 5 -1 -1 0 3 4 5 3 4 4 3 2 2 7 7 7 9 7 4 3 3 3 10 17 14 8 7 7 6 5 4 4 3 4 5 5 5 6 7 7 7 7 8 7 8 8 7 7 7 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 5 9 12 15 17 18 19 19 20 19 17 15 12 8 7 7 7 8 9 11 13 14 13 13 14 15 16 8 4 3 2 2 3 4 5 6 7 8 8 8 8 7 7 7 7 6 6 5 5 6 6 6 6 5 4 2 -2 -7 -6 -1 2 2 3 4 5 5 6 6 5 5 4 4 4 4 5 5 5 4 4 2 0 -1 -2 -3 -5 -6 -5 -3 -4 -4 -2 3 6 5 3 3 3 3 4 4 5 9 9 11 13 12 12 13 14 10 6 5 5 4 4 5 4 4 4 4 4 3 4 4 4 5 6 7 6 7 10 10 7 6 3 2 4 5 4 4 4 5 4 5 6 6 5 5 5 4 5 4 5 4 4 5 5 5 5 6 6 6 6 7 7 8 9 8 7 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 6 6 7 7 6 6 6 7 6 5 5 5 5 4 5 5 5 5 5 6 5 4 4 4 4 3 4 4 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 6 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 4 3 3 3 3 2 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 7 8 7 7 6 6 7 9 11 12 12 13 13 14 13 10 8 6 5 4 4 6 7 7 7 7 7 8 9 10 9 7 7 7 7 6 6 5 5 6 11 15 11 4 4 1 3 8 8 -2 3 6 7 2 1 2 3 5 6 5 4 6 7 9 9 7 4 5 4 2 5 5 3 1 6 5 5 9 5 -1 -4 3 3 2 6 3 5 9 8 0 -4 5 7 5 7 6 4 4 7 11 18 18 11 7 7 7 6 5 4 4 4 4 5 5 5 7 7 6 6 7 7 7 7 8 7 7 7 6 6 5 5 4 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 2 3 2 2 3 3 3 5 6 7 9 11 13 13 13 14 15 15 15 14 12 13 15 17 17 17 17 19 20 20 20 13 5 4 3 3 3 4 5 5 5 6 6 7 7 6 6 6 5 5 6 6 5 5 6 7 7 6 6 4 2 -4 -12 -14 -7 1 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 4 2 0 -2 -4 -5 -7 -9 -12 -12 -11 -10 -10 -8 -2 3 3 2 2 2 4 5 5 4 7 9 10 10 8 6 6 7 6 5 5 4 5 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 3 1 3 5 5 4 4 4 4 4 4 5 5 6 5 5 4 4 5 4 4 4 4 4 5 6 6 6 6 7 7 8 8 9 8 7 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 4 5 6 7 7 6 6 7 7 6 6 5 5 5 4 4 4 5 5 6 6 6 5 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 2 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 3 3 4 4 4 4 4 4 5 5 5 7 7 7 7 6 7 8 10 11 12 14 15 15 15 13 10 8 6 5 3 3 6 7 7 7 7 7 7 8 9 9 7 7 7 6 5 5 5 4 6 12 15 6 -1 -1 1 9 8 8 -4 1 10 15 9 2 0 6 11 13 9 4 5 11 12 10 9 4 -3 -4 3 7 8 6 1 9 11 6 8 7 3 2 6 5 7 6 5 6 7 8 3 1 4 6 6 7 7 5 5 8 17 21 15 9 7 8 7 6 5 4 4 4 5 5 5 6 6 6 7 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 5 5 5 5 7 9 11 15 16 16 16 16 15 13 10 11 15 17 19 17 9 4 4 4 3 4 5 6 6 5 4 4 4 4 3 0 0 2 0 -1 2 5 5 6 6 7 6 6 6 5 3 -1 -4 -3 2 4 3 3 3 4 4 4 4 4 5 5 5 5 4 3 3 2 0 -2 -4 -7 -7 -7 -7 -8 -8 -9 -9 -6 -4 -0 2 2 3 3 6 11 16 16 9 8 9 6 4 5 5 5 5 5 6 5 5 5 5 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 9 9 5 3 4 4 4 4 4 4 4 2 3 5 5 6 6 5 5 4 4 4 3 4 4 5 6 6 6 7 7 7 8 8 9 9 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 6 6 6 6 6 7 6 5 5 5 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 5 5 6 6 6 6 5 6 5 6 5 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 3 4 4 3 3 4 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 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 6 7 9 11 12 13 15 17 16 15 13 10 7 6 4 3 4 5 6 7 8 7 7 8 8 9 9 7 7 7 6 5 4 3 3 5 9 11 4 2 1 6 10 3 2 2 0 15 15 11 5 2 5 7 10 13 9 5 8 11 9 8 8 3 2 6 10 9 6 5 10 11 7 6 7 5 7 8 5 7 8 10 8 8 7 8 7 5 5 8 9 7 4 5 10 18 18 11 7 7 7 6 6 5 4 4 4 5 5 6 6 6 6 6 7 6 6 6 6 6 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 5 6 8 9 11 10 7 5 6 7 8 9 11 13 11 7 6 5 4 5 5 6 7 7 6 5 4 3 2 -1 -5 -7 -4 -5 -11 -11 -3 4 5 6 6 6 6 7 9 12 15 15 15 9 6 6 5 5 5 4 3 4 3 3 2 2 1 1 -1 -2 -5 -7 -8 -10 -11 -6 -2 -1 -0 2 3 3 5 7 6 4 4 5 8 13 19 24 24 19 14 10 5 4 5 5 5 6 6 6 6 6 5 5 4 4 4 5 5 4 5 4 4 4 5 5 5 5 5 5 5 5 6 7 6 5 5 4 4 4 5 6 7 2 1 4 5 5 6 5 5 5 4 4 4 4 4 4 5 5 5 6 7 8 7 7 8 9 10 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 5 6 5 6 6 6 5 4 4 5 5 4 4 4 5 5 5 6 6 6 5 5 5 5 5 6 5 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 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 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 7 6 7 8 10 11 12 14 17 18 17 15 12 9 6 5 4 3 3 4 6 7 8 8 8 8 8 9 9 8 7 6 5 4 3 2 2 4 8 8 6 7 6 10 7 7 4 8 1 8 7 14 12 5 1 1 2 11 11 6 3 6 9 8 8 7 8 11 11 7 5 6 8 9 5 1 3 5 6 6 6 8 9 11 7 8 7 10 8 6 6 9 10 7 3 5 13 20 15 8 7 7 6 6 5 5 4 4 4 5 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 2 3 3 3 3 4 4 3 2 2 2 3 3 3 3 3 3 4 4 3 4 6 8 9 10 10 9 8 7 6 6 5 5 6 6 7 7 7 6 5 4 3 3 2 -2 -2 -1 -7 -16 -16 -6 3 5 5 5 6 8 11 18 25 24 19 10 7 7 6 6 5 5 3 2 2 0 -1 -3 -5 -6 -8 -12 -17 -17 -14 -11 -6 -2 0 1 3 4 5 7 8 8 7 7 7 8 11 14 8 5 13 14 10 7 5 5 5 5 5 5 6 6 7 6 5 6 5 4 4 5 5 5 5 5 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 6 9 7 3 3 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 7 7 7 8 9 9 9 nan nan nan nan nan nan nan 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 5 5 5 4 4 4 4 5 5 5 4 5 5 5 6 5 6 6 5 5 5 5 6 7 6 5 5 4 3 3 4 4 4 5 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 4 3 3 3 3 3 2 3 2 3 3 3 3 4 4 4 4 3 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 5 4 4 3 4 3 3 3 4 4 3 3 3 4 3 4 5 5 5 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 6 7 7 7 8 10 11 12 15 18 18 16 13 10 8 5 4 4 4 3 4 6 6 7 8 9 9 8 8 10 10 8 6 4 3 3 2 2 5 7 6 6 9 10 7 4 11 9 13 7 -0 4 14 14 10 2 1 -0 4 8 5 5 11 13 9 7 6 7 9 5 2 3 2 5 9 4 -3 1 6 4 4 7 9 9 6 4 6 7 10 6 5 9 11 10 7 4 6 14 19 14 8 7 7 6 6 5 5 4 4 4 5 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 6 6 6 6 5 5 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 6 7 9 10 10 9 9 8 7 6 6 6 6 6 6 7 7 7 7 6 6 7 9 12 11 8 8 7 -3 -13 -15 -8 -2 -0 2 4 7 10 15 21 19 10 8 8 7 5 4 3 2 -1 -5 -7 -5 -5 -10 -13 -11 -11 -14 -15 -11 -3 -1 -3 -2 -0 1 4 4 2 0 3 6 6 7 10 13 14 10 5 0 2 4 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 5 5 6 5 4 4 5 5 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 7 8 7 5 5 5 5 6 6 6 6 5 4 4 4 4 4 4 5 5 6 6 7 6 6 7 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 3 3 3 4 3 4 3 3 3 3 4 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 6 7 7 7 6 5 4 4 4 4 5 5 5 4 3 3 2 3 3 4 4 3 3 2 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 2 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 7 7 7 9 10 11 12 15 17 16 14 12 9 6 5 4 3 3 4 4 5 6 7 8 9 9 8 9 10 11 9 7 4 3 3 3 3 5 7 7 10 13 10 2 3 6 7 7 14 3 3 7 8 13 7 7 0 -2 6 5 10 18 16 9 7 5 4 4 1 1 2 -1 1 8 5 -0 1 4 5 4 7 11 10 4 0 3 8 8 4 4 10 12 9 6 5 8 15 17 13 9 7 6 6 6 6 5 4 4 4 5 6 6 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 1 1 2 3 4 4 4 4 6 7 7 8 9 9 8 8 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 11 11 9 9 11 7 -0 -14 -20 -15 -13 -9 -5 2 8 9 11 10 7 6 5 4 2 -1 -4 -7 -8 -11 -14 -14 -11 -10 -11 -9 -6 -3 -0 2 4 6 2 -1 1 4 7 7 5 2 2 8 12 13 13 10 12 13 15 10 2 1 2 4 5 5 6 6 5 6 6 6 7 6 7 7 7 6 6 5 5 5 5 6 6 5 4 4 4 5 6 7 7 6 5 4 5 6 5 5 5 5 5 5 5 6 5 5 6 5 5 6 7 8 8 6 5 4 4 4 4 4 5 5 5 6 7 7 6 7 7 7 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 3 3 2 2 2 2 2 2 3 3 4 5 6 6 6 6 5 5 5 5 5 5 6 7 6 5 5 6 6 7 7 6 6 5 5 5 5 5 5 5 4 3 3 2 2 3 3 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 4 3 4 3 3 3 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 6 7 7 8 9 11 11 11 13 14 15 12 10 8 6 4 3 3 3 4 4 5 6 7 8 9 9 8 8 10 11 10 7 5 3 3 3 4 5 6 9 14 15 5 -3 2 2 7 2 10 3 0 0 -0 7 9 10 6 0 3 2 7 12 11 9 9 10 7 1 3 5 2 -2 0 5 6 5 5 4 4 3 6 12 15 6 -3 -1 7 6 2 7 11 10 7 5 5 9 17 16 11 9 7 6 6 6 6 5 4 4 4 5 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 1 1 2 3 4 5 5 6 6 7 6 7 7 7 8 7 6 6 6 6 6 6 6 6 6 6 5 6 6 6 5 5 5 5 5 5 6 8 7 4 -2 -11 -14 -15 -16 -14 -9 -2 3 5 5 5 4 3 1 -3 -6 -7 -8 -9 -6 -5 -8 -7 -2 0 -0 2 5 7 6 5 8 8 5 6 9 9 12 17 14 10 15 19 18 14 4 4 10 9 6 5 3 3 4 5 5 5 5 5 6 6 6 7 7 7 8 8 7 7 6 5 5 6 6 7 6 4 3 3 4 5 6 7 9 6 2 3 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 7 8 8 7 6 5 4 4 4 4 5 5 6 7 7 7 8 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 3 2 3 2 1 1 1 2 3 4 5 5 6 7 6 6 6 6 5 5 4 5 5 6 6 6 5 5 5 6 6 6 6 6 6 7 6 6 5 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 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 3 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 8 9 10 12 12 11 12 14 13 10 8 6 4 3 3 2 3 3 4 4 5 7 8 8 9 8 9 10 10 10 7 5 4 4 3 4 5 6 11 15 12 2 -1 2 3 7 10 8 3 0 0 -1 -0 11 13 12 5 3 -0 -1 1 4 8 9 11 8 1 3 7 3 1 4 5 6 7 6 4 4 3 6 12 14 7 0 -0 5 4 3 8 11 9 5 3 4 8 15 14 9 9 7 6 6 6 5 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 4 3 3 2 2 2 4 4 4 5 5 6 6 5 5 6 6 6 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 5 4 3 3 4 4 7 12 14 9 5 1 -0 -1 -5 -8 -15 -15 -9 -2 1 2 2 2 1 -2 -2 3 4 2 2 3 4 5 6 7 6 6 6 7 6 6 6 6 7 12 16 15 17 23 25 22 19 14 12 11 7 3 4 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 6 6 5 6 6 6 6 5 4 4 4 5 6 9 10 5 3 6 7 6 5 4 5 5 6 6 6 6 6 6 6 5 6 7 8 8 7 6 4 4 4 4 4 6 6 7 7 7 7 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 2 1 1 1 2 2 3 4 4 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 5 4 4 4 4 6 7 7 7 6 6 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 2 2 1 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 7 7 8 9 13 16 15 14 13 13 11 9 6 5 4 3 2 3 3 4 4 4 5 5 7 9 9 9 8 10 10 9 7 6 5 4 2 3 5 6 9 11 8 4 4 6 8 8 15 9 5 1 3 6 1 10 12 12 6 4 0 -3 -4 2 8 9 7 4 1 6 8 4 4 7 7 6 6 5 4 3 4 7 11 9 3 3 4 4 2 4 7 12 11 4 2 3 9 15 14 9 8 7 6 6 5 5 4 4 4 5 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 3 4 4 3 4 3 3 3 3 4 3 2 2 2 3 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 6 7 7 7 6 5 5 5 5 5 5 5 5 6 7 8 15 23 20 11 5 4 5 6 2 -7 -14 -17 -13 -7 -4 -3 -2 -0 4 7 8 8 7 6 6 7 8 8 7 6 5 5 5 5 6 5 6 9 16 20 19 16 16 18 17 12 8 6 8 9 6 5 6 5 5 4 4 5 5 6 5 5 5 5 5 5 6 7 7 7 8 8 8 8 8 6 5 5 6 6 6 5 4 5 5 5 5 6 9 9 6 6 7 5 4 4 5 5 6 7 7 6 6 6 6 5 5 6 7 7 7 6 6 5 5 5 5 6 7 7 7 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 nan nan
nan nan nan 2 2 1 1 2 2 2 2 2 2 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 5 4 3 2 3 5 6 7 6 6 5 4 4 4 4 4 4 5 6 6 5 5 4 4 3 3 2 1 2 2 2 2 2 2 2 3 3 4 4 4 4 3 3 4 4 4 4 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 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 6 7 7 9 13 20 22 20 17 14 11 8 6 5 4 3 3 3 3 4 4 4 4 5 5 7 9 9 9 9 10 11 9 8 6 5 3 1 3 4 7 8 5 5 5 6 11 10 7 11 7 6 1 2 8 5 6 6 5 8 2 0 -2 -0 6 10 8 4 2 5 9 8 3 5 9 9 5 4 6 6 3 4 8 11 8 2 3 6 4 3 6 9 13 11 4 2 3 11 16 12 7 7 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 5 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 4 3 3 3 3 3 3 4 5 4 5 5 5 5 4 5 5 5 6 6 7 7 7 6 6 6 6 6 6 7 8 8 8 9 13 20 23 19 14 10 7 6 5 2 -2 -6 -11 -14 -15 -16 -13 -9 -6 -3 -3 -0 4 7 6 6 5 5 5 4 4 5 6 7 7 9 12 14 16 15 11 8 8 8 6 6 6 6 7 8 7 6 6 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 7 6 5 5 6 8 7 1 4 7 6 5 4 5 7 6 6 6 4 4 5 5 6 7 8 9 8 7 6 6 5 5 5 6 7 7 7 7 6 6 6 6 6 7 7 7 7 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 nan
nan nan nan 3 2 2 2 3 4 5 4 3 2 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 6 6 5 4 2 2 2 3 4 5 4 4 4 4 4 3 3 4 4 5 6 6 5 5 5 5 4 2 2 1 1 2 2 2 2 3 3 3 4 4 3 3 3 3 4 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 6 6 7 8 12 24 33 29 22 16 11 7 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 9 9 9 10 10 9 8 6 3 2 2 3 5 8 8 3 1 2 7 12 10 7 7 9 9 3 3 9 9 4 1 -1 5 0 -1 0 7 11 8 5 2 3 8 11 7 3 8 12 10 4 4 8 7 3 5 7 9 8 5 6 7 6 7 8 11 12 8 4 3 4 10 16 11 6 5 5 5 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 6 7 7 7 8 7 7 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 3 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 5 6 7 7 6 6 6 7 7 7 7 7 8 8 8 8 9 11 14 21 27 23 18 13 7 4 3 4 -1 -10 -14 -14 -14 -12 -11 -11 -9 -3 3 6 6 4 3 3 3 3 5 9 11 12 13 17 20 18 10 7 6 5 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 5 4 5 5 6 6 6 7 8 7 7 7 6 6 6 8 11 7 3 7 7 6 5 5 6 6 5 5 5 5 5 5 6 7 8 10 10 9 7 6 6 6 5 5 6 7 7 6 6 6 7 7 6 6 7 7 7 8 8 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 nan nan 4 3 3 4 5 8 9 7 4 3 2 2 2 2 3 3 3 4 4 4 4 4 5 6 6 6 7 7 6 7 7 6 5 4 2 1 1 2 2 2 3 3 3 3 3 3 3 4 5 5 6 6 6 6 6 5 4 2 1 1 2 3 2 3 3 4 4 4 3 3 3 3 3 4 5 6 7 6 6 6 6 6 6 6 6 5 5 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 6 7 8 8 21 40 41 26 16 11 6 3 3 4 6 7 7 7 7 6 6 6 6 5 6 6 6 7 9 10 10 10 9 8 6 3 1 2 2 1 7 10 9 5 2 3 7 7 10 9 6 9 7 3 4 7 9 5 1 -2 -1 2 1 4 11 10 4 1 1 3 6 8 6 4 9 13 7 3 6 9 6 3 4 6 8 7 5 9 11 10 12 9 10 10 7 6 5 4 6 12 13 8 5 4 5 5 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 5 5 5 6 7 8 8 7 7 6 5 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 2 3 3 4 3 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 9 16 21 21 23 23 17 12 11 10 6 4 4 2 -1 -2 -0 -1 0 3 5 5 4 4 4 3 5 6 12 18 20 22 25 25 21 13 6 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 5 5 6 5 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 7 7 7 7 7 8 9 7 7 7 6 5 5 6 6 6 6 6 5 5 6 6 7 8 9 10 10 8 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 8 9 9 8 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 6 5 4 4 7 10 13 11 6 4 2 2 2 2 2 3 3 3 4 3 3 4 4 4 5 6 6 6 7 7 7 7 7 6 4 2 2 2 1 1 2 2 2 2 2 2 3 4 4 5 5 5 5 6 6 6 5 4 3 2 2 3 3 3 3 4 5 5 4 3 2 3 3 4 5 6 6 6 6 6 6 7 7 6 6 6 6 5 5 4 4 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 4 4 5 5 5 5 5 6 7 8 9 13 30 42 29 13 9 6 1 -2 0 4 5 6 7 8 8 8 7 7 6 6 6 6 7 7 9 11 11 9 7 6 2 -1 1 2 3 2 7 9 7 8 7 6 4 3 7 6 2 3 2 1 2 4 6 4 2 0 -1 6 7 6 11 11 6 1 0 2 4 4 4 3 7 9 5 3 6 8 6 3 5 5 5 4 5 9 13 10 12 11 12 10 8 8 7 5 4 8 15 11 5 4 5 5 5 5 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 5 6 8 8 8 7 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 4 4 4 4 3 2 2 2 2 2 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 6 7 10 15 20 23 22 21 20 20 21 19 15 9 7 7 7 7 11 14 13 9 11 13 11 13 15 18 23 25 25 22 17 12 7 6 6 6 6 6 6 5 5 5 5 6 6 7 6 6 6 7 6 5 5 6 5 4 3 3 3 4 4 4 4 4 4 5 5 5 5 6 7 7 8 7 8 7 6 5 6 7 7 5 4 4 5 6 6 6 6 6 6 6 6 7 7 8 10 10 8 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 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 nan
nan nan 7 6 6 5 5 6 10 13 11 6 3 3 2 2 1 2 3 3 4 4 4 3 3 2 3 4 4 5 5 6 7 7 8 7 7 6 5 4 3 3 2 1 2 2 2 2 2 3 4 4 4 5 5 5 5 6 6 6 6 5 4 3 3 3 3 4 4 5 4 3 2 2 2 4 4 5 5 6 5 5 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 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 6 5 5 5 5 5 4 5 5 6 7 8 12 20 30 26 11 4 7 5 -2 -5 -0 3 4 5 6 7 8 8 8 8 7 7 7 7 7 8 9 10 10 9 6 3 -1 -1 2 3 5 6 5 4 3 8 11 8 5 4 7 3 -2 1 5 6 5 1 -1 3 5 1 2 8 8 5 10 15 12 6 5 3 3 3 0 3 4 5 5 5 7 6 2 4 8 7 2 0 3 9 13 11 10 13 13 9 7 7 7 5 3 9 17 13 5 5 4 5 5 5 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 5 6 7 8 8 7 7 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 4 5 5 4 3 2 2 3 2 2 3 3 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 4 5 8 11 16 20 21 21 22 20 20 21 18 16 16 14 16 22 25 23 22 24 23 24 23 21 17 15 17 14 9 7 7 6 6 6 6 5 5 4 4 4 4 4 5 6 6 6 6 6 7 7 7 5 5 4 4 3 3 3 4 4 4 4 4 4 4 5 4 5 6 6 6 7 7 8 7 6 5 5 6 6 5 4 4 5 5 6 6 6 6 5 6 6 7 8 8 9 9 8 7 6 5 5 5 5 5 5 6 6 6 6 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 6 6 6 5 4 5 8 10 9 5 3 3 2 2 1 1 2 3 4 4 4 3 3 2 2 3 2 3 4 6 6 6 7 7 6 6 6 6 5 5 3 3 3 2 1 1 2 2 3 3 4 4 4 4 5 5 6 7 7 7 5 4 3 3 3 3 4 4 3 2 1 2 2 3 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 7 8 10 15 23 24 13 3 2 5 1 -6 -5 1 3 3 4 5 6 7 8 7 7 7 7 8 9 9 9 9 10 10 8 4 1 -1 2 4 3 5 7 9 11 6 7 10 7 6 8 10 3 -2 2 8 12 8 -0 -2 4 6 4 4 5 5 5 9 13 14 12 12 7 5 2 -1 1 2 4 7 5 8 5 1 6 12 11 4 1 4 6 12 16 11 11 11 7 4 3 6 8 6 13 19 11 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 5 5 5 6 5 5 5 5 5 6 6 7 7 7 7 7 6 6 5 5 5 4 4 4 4 4 5 5 6 5 4 4 4 5 5 5 5 4 5 5 4 3 3 3 3 3 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 5 5 7 8 10 12 12 11 10 14 19 23 25 25 25 27 24 22 22 22 20 18 19 17 16 11 8 8 8 7 6 6 6 6 5 5 4 4 3 3 3 4 4 5 6 6 5 6 6 7 7 6 6 5 4 3 3 3 3 3 3 3 4 4 4 4 5 4 4 5 5 6 6 7 7 7 6 5 6 6 6 5 3 3 4 5 5 5 5 5 5 6 6 7 8 8 9 9 8 7 6 5 5 5 4 5 5 5 6 6 6 6 5 6 6 6 7 7 8 8 8 8 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 6 6 6 5 4 4 5 7 7 5 3 3 2 2 2 2 3 3 4 4 4 4 4 3 2 2 2 3 4 4 5 6 6 5 6 6 6 6 6 6 5 5 5 4 3 2 2 2 2 3 3 3 3 4 5 4 5 7 7 7 6 4 3 3 2 3 3 3 2 1 1 1 3 3 4 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 8 8 7 7 6 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 4 5 6 7 9 14 21 25 20 7 3 2 -3 -7 -8 -4 2 3 3 4 4 6 7 7 7 6 5 7 9 11 11 11 10 10 11 8 3 1 3 4 6 3 3 7 11 15 6 10 6 1 6 11 10 3 -2 -1 6 10 7 3 2 6 7 7 7 4 4 6 8 9 13 15 12 10 9 3 -2 0 2 3 6 6 6 4 4 6 10 14 8 5 6 4 10 21 15 10 9 7 1 -1 6 15 12 14 19 9 3 4 4 5 5 4 4 4 4 5 6 5 6 5 5 4 4 4 5 5 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 5 4 5 5 5 4 3 3 4 5 5 5 4 4 5 4 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 7 8 10 14 18 20 21 21 18 14 11 11 11 9 8 6 7 8 7 6 6 6 6 6 6 6 5 5 4 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 5 4 3 2 3 3 3 2 2 3 3 3 4 4 4 4 4 5 5 6 6 7 7 6 5 6 6 5 5 4 4 3 4 4 5 5 5 5 5 6 6 7 8 9 10 9 8 7 6 5 5 4 4 5 5 6 6 6 6 6 5 5 5 6 6 7 7 8 8 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 5 5 5 4 3 3 4 5 5 5 4 3 3 3 4 4 4 4 3 4 5 6 5 4 4 3 2 3 3 3 4 5 5 4 4 5 6 6 6 7 6 6 7 7 5 4 4 3 3 3 2 2 3 3 4 5 5 7 8 8 7 5 3 2 2 3 3 3 2 1 1 2 2 3 4 5 4 4 4 4 4 4 5 5 6 6 6 7 6 6 6 6 6 8 9 10 9 8 7 7 6 6 5 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 6 5 6 6 5 5 4 5 7 8 13 22 28 25 15 5 4 0 -11 -12 -7 -1 2 3 3 4 4 6 7 7 5 4 5 5 9 11 13 13 13 11 10 6 3 3 4 3 2 4 5 6 3 1 3 10 5 -1 5 11 10 8 7 5 5 4 3 3 5 8 8 9 8 6 6 6 5 6 10 13 7 5 12 7 -2 0 0 2 6 7 6 6 7 4 6 12 9 9 10 7 9 21 21 12 7 4 -2 -1 10 19 14 13 20 11 3 4 4 4 4 3 3 3 4 5 6 6 5 5 5 4 4 4 5 6 6 5 5 4 4 5 5 5 5 4 5 5 5 5 5 6 5 6 5 6 6 6 5 5 4 5 5 4 4 4 5 5 5 4 3 3 4 5 5 6 5 4 4 4 3 3 4 4 5 5 4 5 5 6 6 5 6 6 6 6 6 6 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 7 8 9 11 11 11 8 7 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 4 3 2 2 3 3 3 3 2 3 3 3 3 4 4 4 3 4 4 5 5 6 6 6 6 6 6 6 5 5 4 3 3 3 4 4 4 4 4 4 5 6 8 9 10 10 9 8 7 6 6 6 5 5 5 6 7 7 7 7 5 4 4 4 5 6 7 8 8 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 5 5 5 4 3 3 3 3 4 4 4 4 3 4 5 6 6 6 5 4 4 5 6 7 6 5 3 3 3 3 3 3 4 4 3 3 4 5 5 5 5 6 7 7 7 7 7 6 6 5 4 2 2 3 4 5 5 6 7 8 9 7 4 3 2 3 3 3 3 3 2 2 2 3 4 4 4 4 4 3 3 4 5 4 5 5 5 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 5 4 3 3 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 5 5 5 5 8 13 22 30 28 19 9 3 3 -5 -14 -10 -3 1 2 2 3 4 5 5 6 6 5 4 4 5 8 11 14 16 15 13 8 4 3 4 5 4 -1 -1 5 7 -1 -5 4 7 8 1 -1 6 9 11 17 14 8 1 -1 1 5 9 10 10 8 8 8 5 2 4 8 8 3 1 8 6 2 1 -5 0 14 12 6 8 6 -1 3 4 4 13 19 16 11 19 23 12 4 -0 -2 3 12 16 13 14 21 13 3 4 4 4 4 3 3 4 4 5 6 6 5 6 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 4 5 5 5 5 5 6 5 5 6 6 6 5 5 5 5 5 4 4 4 5 5 5 4 3 3 4 5 6 6 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 3 3 2 2 2 2 3 3 3 4 4 4 4 5 5 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 4 4 5 5 4 3 3 2 3 4 5 5 4 4 5 5 4 3 3 3 5 6 4 4 3 2 2 2 3 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 4 4 4 4 4 4 4 4 4 3 4 6 8 9 10 10 8 7 7 7 7 7 6 6 6 7 7 8 7 6 5 4 3 4 6 8 8 7 7 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 5 5 4 4 3 3 3 3 3 3 3 4 4 4 5 6 7 6 5 4 3 4 5 7 7 6 4 4 3 3 3 3 3 3 2 2 2 3 4 4 4 4 6 7 7 8 7 7 8 7 5 3 3 4 5 5 5 6 7 8 8 7 5 4 3 4 3 3 4 4 4 3 3 3 4 4 3 4 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 5 4 5 5 5 6 6 7 7 7 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 7 11 23 33 30 20 12 5 4 -2 -14 -14 -6 -0 2 2 3 4 4 5 5 6 6 5 4 5 6 8 11 15 19 19 13 7 4 4 2 4 7 7 3 2 5 4 1 3 5 9 5 -4 -1 1 8 19 15 6 -1 1 1 5 11 12 9 7 7 9 7 3 3 4 3 0 2 4 0 2 3 -7 -3 20 19 6 6 2 -5 1 2 1 10 18 17 15 23 25 13 3 -2 -1 6 12 12 11 15 22 15 3 3 5 4 4 4 3 4 4 5 5 6 6 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 5 5 4 3 3 4 5 6 6 5 4 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 5 5 5 5 4 3 2 1 1 1 1 1 2 2 3 3 3 3 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 5 5 4 3 2 2 3 5 5 4 4 4 4 3 1 -1 -5 -5 3 5 4 4 3 2 2 2 2 3 4 4 4 5 4 4 4 3 3 3 3 3 3 3 4 5 4 5 6 6 7 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 4 6 8 10 10 10 8 7 8 8 8 7 7 7 6 7 8 8 8 6 5 4 5 6 8 8 7 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 4 4 4 3 3 2 3 3 3 3 3 4 5 5 5 4 3 2 3 4 5 6 7 6 4 4 3 3 3 3 2 2 2 2 2 2 3 3 4 5 5 6 6 7 8 8 8 7 6 5 5 6 5 5 6 7 7 8 7 6 5 4 4 4 3 4 5 4 4 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 5 5 4 4 4 4 5 6 6 7 7 6 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 6 5 6 8 12 22 36 36 22 8 6 7 11 -5 -17 -11 -3 1 3 3 4 4 5 5 6 6 6 5 5 6 7 9 12 18 23 21 13 5 4 5 3 3 6 10 12 11 11 11 4 -0 3 9 9 -1 -2 -2 5 15 11 1 1 3 3 6 11 10 8 7 5 7 11 9 6 3 -0 -1 2 1 1 6 7 -2 -4 15 19 5 3 0 -3 4 2 -1 4 12 12 19 30 27 12 2 -1 0 8 12 10 9 14 22 17 4 3 5 5 4 4 3 3 4 5 5 6 6 6 5 5 4 3 3 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 5 5 4 4 3 1 -0 -0 -0 1 1 1 2 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 6 6 6 5 5 4 4 4 5 5 5 3 3 3 4 5 5 4 3 4 4 3 2 -1 -9 -10 -2 4 4 4 3 3 3 3 3 4 4 4 5 5 6 6 5 4 3 4 5 5 5 2 2 3 4 5 6 6 6 6 6 5 5 6 6 5 5 5 5 4 4 4 3 3 3 4 7 8 10 10 10 9 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 7 6 5 4 4 4 3 3 3 3 2 3 3 4 4 4 4 3 2 1 1 2 3 4 5 5 5 4 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 5 5 5 7 7 8 8 8 7 6 5 4 5 5 6 6 6 7 7 7 6 5 4 3 4 4 5 4 4 4 4 4 4 3 2 2 3 3 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 8 12 20 31 36 29 15 1 1 8 4 -11 -13 -5 -0 2 3 4 4 5 5 6 6 6 5 5 6 7 8 10 15 22 24 17 9 3 4 6 6 6 7 5 3 6 12 12 3 -2 3 11 12 7 6 4 5 8 5 -2 -2 2 6 6 6 6 7 6 2 5 14 14 9 4 3 4 5 3 3 7 9 3 -1 8 10 1 -1 -2 0 10 1 -3 2 8 10 24 35 24 8 1 0 3 9 13 10 9 13 21 18 5 3 5 5 4 4 4 3 4 4 5 6 6 6 6 5 4 3 3 3 3 4 4 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 5 4 4 4 4 4 5 6 5 6 6 6 7 7 7 7 6 6 6 6 5 5 4 4 3 1 0 -0 -1 -0 1 1 2 3 3 3 4 4 4 4 5 5 5 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 4 5 6 6 5 3 2 3 5 6 5 4 4 3 4 4 5 2 -1 -2 -1 3 4 3 3 4 4 5 5 5 6 5 4 4 6 7 4 4 4 4 7 9 8 3 1 4 5 4 5 6 6 6 5 5 5 6 6 5 5 5 5 5 5 5 4 3 3 4 5 7 9 10 10 10 9 8 8 8 8 8 8 7 7 8 8 9 9 9 8 6 6 6 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 9 7 6 5 5 4 3 3 3 3 3 3 4 4 4 3 3 3 2 1 1 2 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 3 4 5 5 5 4 4 4 5 6 6 7 8 7 6 4 3 3 4 5 5 6 6 7 8 8 7 5 4 3 3 4 4 4 4 4 4 4 3 2 2 3 3 4 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 8 9 9 8 9 12 17 23 27 26 18 7 -2 -3 -5 -20 -19 -8 0 2 3 4 4 5 5 6 6 6 6 6 5 6 7 8 12 19 23 17 9 3 1 3 9 10 8 11 11 5 -0 0 3 1 3 8 11 15 18 14 8 7 6 2 -2 -2 4 7 5 3 5 8 5 -1 1 11 14 10 8 10 13 11 5 5 9 8 2 -1 4 8 2 -2 -5 -0 14 5 -2 0 1 7 27 36 20 4 -0 1 5 11 13 10 9 14 21 17 6 4 5 5 4 4 4 3 4 4 5 5 6 6 5 5 4 3 3 3 3 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 4 5 5 6 6 6 6 6 7 6 6 6 5 5 5 4 3 2 2 1 0 0 1 2 3 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 4 6 7 6 4 3 2 2 3 5 6 8 7 4 4 4 4 4 4 4 5 6 6 5 5 5 5 7 9 3 2 3 4 6 10 12 8 3 4 6 6 6 5 5 5 5 5 5 5 6 5 5 5 5 6 5 5 5 5 4 4 4 5 7 9 9 9 9 9 8 8 8 8 7 7 7 7 8 9 9 9 8 7 6 6 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 10 11 11 11 9 8 7 6 6 5 5 4 4 4 4 4 4 4 4 3 2 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 4 3 4 4 5 6 6 5 4 3 3 4 4 5 6 5 4 3 3 3 3 4 4 5 4 5 6 7 7 6 5 3 3 3 4 4 4 4 5 4 4 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 8 10 10 11 13 14 17 17 17 15 11 3 -2 -2 -5 -13 -21 -13 -2 2 3 4 4 5 5 5 6 6 6 6 6 6 6 7 10 15 21 19 10 3 -1 3 4 8 10 8 11 11 7 7 4 1 0 8 10 9 17 25 18 7 6 8 5 0 1 4 6 8 6 7 10 8 -0 -2 6 12 12 9 9 11 11 5 4 11 12 6 -0 4 15 13 5 -4 -1 11 11 1 0 2 15 28 27 13 2 -1 2 7 12 12 8 9 16 22 15 6 5 6 6 4 3 3 4 4 4 4 5 5 6 6 5 4 3 3 4 4 4 4 4 5 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 4 4 5 4 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 3 2 1 0 1 1 1 3 4 7 9 10 8 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 4 3 5 6 7 6 4 2 1 0 1 2 10 16 10 5 4 4 4 4 5 5 5 5 6 6 5 4 6 10 13 8 2 2 4 4 5 9 11 5 4 5 6 7 7 7 7 6 5 5 5 5 5 5 6 5 5 5 6 6 6 5 4 3 4 5 7 7 8 8 8 8 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 12 13 12 12 11 10 9 9 9 8 7 6 5 4 4 4 4 3 3 2 2 2 3 3 3 3 4 4 5 6 6 6 5 5 5 4 3 3 4 5 6 7 6 5 4 3 3 3 3 4 3 3 3 3 3 4 3 3 4 3 3 4 5 6 6 4 4 3 4 4 4 4 4 5 5 4 4 3 3 3 4 5 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 5 5 5 6 6 6 6 11 14 11 15 17 15 14 11 10 7 -0 -4 0 4 0 -3 -3 -1 1 3 4 5 5 5 5 5 5 6 6 6 6 6 8 11 13 19 22 16 6 2 -0 4 5 4 6 8 9 5 0 3 5 3 3 10 6 5 15 23 16 7 5 6 5 3 2 2 6 11 8 6 10 10 2 -1 3 12 13 6 1 4 10 7 2 6 15 14 4 5 15 18 14 3 -0 0 12 12 14 15 22 26 19 6 -0 -0 3 8 10 9 6 8 18 24 16 6 5 6 6 4 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 4 5 5 4 4 4 5 4 5 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 1 0 0 1 1 3 4 5 8 11 12 8 6 4 5 5 5 5 5 4 4 5 5 5 5 5 4 4 3 3 3 4 4 3 3 4 4 4 4 5 5 6 6 6 6 7 6 5 4 4 4 5 6 5 4 2 -0 -3 -3 -3 4 14 11 6 5 4 4 5 6 6 6 5 6 5 4 4 6 9 13 13 6 4 4 4 4 5 6 4 4 4 5 5 7 8 9 9 8 6 5 5 6 6 6 5 5 6 6 6 6 6 5 4 4 4 5 6 7 7 8 8 9 9 8 7 7 6 5 5 6 7 7 8 8 9 9 9 7 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 9 11 12 12 12 12 12 12 12 12 10 9 7 6 4 4 4 4 4 3 3 4 4 4 4 4 5 6 6 6 6 6 5 5 5 4 3 3 4 5 6 7 7 7 6 4 4 3 3 3 3 2 3 3 3 3 3 4 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 4 4 4 3 4 5 5 5 6 6 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 7 8 12 17 15 16 15 9 8 8 10 7 5 11 17 17 11 7 6 4 4 5 6 5 5 5 5 5 6 6 7 7 7 9 13 16 18 22 21 13 6 5 7 7 4 0 3 6 7 9 11 9 2 -1 2 5 -1 2 12 14 9 5 4 4 4 6 5 2 3 7 5 3 8 9 3 -2 4 14 11 1 -1 4 7 4 -0 3 12 14 9 7 8 10 14 11 3 -8 3 21 26 22 20 17 8 0 1 1 1 6 9 8 6 8 18 23 14 6 6 6 5 5 4 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 3 3 3 3 3 4 4 5 5 4 4 5 5 4 5 4 4 4 4 5 4 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 5 4 5 5 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 3 2 1 1 1 2 3 4 5 7 9 10 8 5 4 4 4 4 5 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 3 4 4 4 4 4 5 5 6 6 6 6 6 6 5 4 3 3 4 4 4 5 5 2 -2 -3 -2 -1 2 7 6 5 5 5 5 6 6 6 6 6 5 5 5 5 7 9 9 6 5 4 5 4 3 4 4 4 4 4 4 5 7 8 8 10 9 7 6 7 7 7 7 6 6 6 6 6 6 6 6 5 4 3 4 5 5 6 7 8 9 9 9 8 7 5 4 4 4 5 6 7 8 9 10 9 8 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 3 4 5 6 8 8 8 9 10 11 12 13 13 11 10 9 7 6 5 5 6 6 6 6 6 6 6 6 6 7 6 6 5 5 6 5 5 4 4 4 4 4 6 7 7 8 7 6 5 5 4 3 3 2 3 3 3 3 4 3 3 2 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 5 5 4 4 4 4 5 5 5 5 6 6 5 5 6 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 9 15 21 19 14 8 5 6 8 11 12 20 32 29 19 11 6 4 5 6 7 7 6 6 5 5 5 6 8 8 8 9 14 17 17 16 18 16 10 6 8 11 10 5 1 2 4 6 9 15 19 10 4 4 -1 -4 6 13 8 3 2 1 5 12 13 7 2 2 3 6 6 8 9 3 -0 10 14 4 -2 4 9 8 1 -1 5 6 8 14 11 3 1 9 14 9 -8 -10 12 26 24 16 7 -2 -2 2 0 0 6 9 8 6 8 15 21 13 5 5 7 6 5 3 3 3 3 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 3 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 5 5 5 4 3 3 1 1 1 2 3 4 5 6 7 7 6 5 4 4 4 4 4 4 4 3 4 4 4 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 3 3 3 4 5 6 8 9 6 4 4 3 3 5 6 5 5 5 5 6 6 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 5 6 7 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 5 5 3 3 3 4 5 5 7 8 9 9 10 9 7 5 3 3 4 5 5 7 8 9 10 9 7 7 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 3 3 4 4 5 7 8 9 11 11 11 11 12 11 9 8 9 10 10 9 9 8 8 8 8 7 7 6 5 4 5 6 5 5 5 4 4 4 4 5 6 7 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 6 6 5 6 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 6 7 10 14 21 23 17 9 5 5 7 8 10 15 23 30 16 4 1 2 4 7 7 8 8 7 7 6 6 6 6 7 8 8 12 17 17 14 12 13 13 8 3 4 8 10 7 7 7 5 6 4 9 15 9 5 11 -1 -2 12 12 4 4 2 -1 6 17 13 5 4 4 5 11 12 8 5 -0 4 15 12 -0 -0 10 13 8 5 8 8 2 7 18 13 3 2 5 10 10 1 -6 7 26 21 11 1 -6 -0 4 2 4 8 8 8 8 9 13 20 16 6 5 6 6 4 4 3 3 3 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 5 4 5 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 3 2 1 1 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 4 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 6 6 5 5 5 4 4 4 4 5 5 6 9 14 13 8 8 11 9 6 5 4 4 5 5 6 6 7 7 7 7 7 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 6 7 7 7 8 8 7 7 7 7 6 5 4 3 3 3 3 4 5 6 7 8 9 9 9 8 6 4 4 4 5 5 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
nan 2 2 2 2 1 2 2 3 4 4 6 7 8 9 10 12 13 12 12 12 14 13 11 9 9 10 10 9 8 6 5 4 4 5 6 5 5 5 5 5 5 4 5 6 6 6 6 7 7 6 6 6 6 6 6 7 6 5 5 5 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 3 3 4 5 5 5 5 10 17 20 21 16 9 6 4 5 7 8 8 11 10 3 -8 -8 -2 4 6 7 8 8 8 7 7 7 6 6 7 8 8 9 14 17 15 11 10 11 12 9 4 3 4 5 7 11 10 7 6 0 1 5 4 5 12 -2 2 12 6 3 9 7 1 10 15 6 2 4 3 6 12 11 5 3 -0 5 14 10 1 7 16 13 5 5 10 7 4 11 16 11 7 8 3 4 8 15 10 19 30 19 5 -7 -8 6 11 9 10 10 8 7 8 9 12 19 18 8 5 7 6 5 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 3 2 2 2 2 3 2 2 2 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 6 6 6 6 5 4 4 4 3 3 4 4 4 4 4 4 5 6 5 5 5 5 5 4 5 6 6 6 8 12 15 10 9 14 8 4 5 4 4 4 5 5 6 7 7 7 7 7 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 3 3 4 5 5 5 5 5 6 7 8 8 8 8 8 8 7 6 5 4 3 3 3 3 3 4 4 6 7 8 9 9 8 6 6 5 5 5 5 6 7 7 7 7 9 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 2 1 1 1 2 2 2 3 3 4 5 6 7 8 10 11 12 13 13 12 9 9 10 12 12 11 9 8 5 4 4 4 5 5 4 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 9 9 8 7 6 6 5 5 4 4 4 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 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 5 4 4 4 4 5 5 5 5 5 11 19 21 14 10 7 5 5 5 6 8 7 2 -4 -16 -13 -4 3 6 7 8 8 8 8 7 7 7 7 7 7 8 8 10 14 16 14 11 9 8 8 6 5 5 5 4 6 8 9 9 6 -0 -2 -2 1 14 11 -0 4 4 2 8 18 11 3 6 6 2 6 7 3 5 8 4 4 7 6 7 12 9 6 13 17 12 4 3 2 -1 5 13 11 6 9 11 8 -1 5 22 23 33 31 16 -5 -20 -10 18 27 23 17 12 9 8 9 9 12 18 18 9 5 6 7 5 5 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 3 3 3 2 2 2 2 1 2 3 4 4 4 3 3 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 3 1 -0 -1 -1 0 1 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 9 13 10 8 7 4 4 5 4 4 5 5 5 6 7 7 7 7 7 6 5 5 6 5 5 5 6 6 5 5 5 5 5 6 5 5 5 5 6 6 5 4 4 5 5 5 5 5 5 6 7 8 8 9 9 8 8 8 7 7 5 4 4 3 3 3 4 4 4 6 7 8 8 7 6 5 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 2 2 2 2 2 2 2 1 1 2 2 2 3 3 3 4 6 8 10 11 9 7 7 7 9 12 13 12 11 11 9 6 4 4 5 4 5 6 8 8 7 7 6 6 6 5 4 4 4 3 4 5 5 6 8 8 8 7 7 6 6 5 5 4 5 5 5 5 6 6 6 5 4 3 3 4 3 3 4 4 4 5 4 4 5 5 6 6 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 6 6 8 17 19 11 9 8 7 6 6 7 8 5 -1 -7 -10 -3 4 7 8 8 8 8 7 6 7 7 7 8 8 8 8 10 14 17 15 13 12 7 4 4 2 1 5 8 9 9 8 9 8 6 6 7 0 4 13 5 -0 5 3 2 15 27 14 3 -2 -2 6 15 10 5 5 3 -2 1 6 8 11 14 9 10 12 13 11 2 -4 -6 -4 5 10 3 2 7 9 8 2 7 18 27 37 29 12 -11 -23 -2 27 36 30 20 12 8 9 10 10 10 15 18 11 5 6 7 6 5 4 3 3 3 3 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 3 3 4 4 4 3 4 4 3 4 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 4 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 4 2 0 -2 -6 -8 -7 -6 -3 1 4 5 5 5 5 5 5 5 5 5 4 4 5 5 6 8 11 14 9 2 3 4 4 4 4 5 5 5 6 7 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 4 4 5 6 6 6 6 5 6 7 7 7 7 8 9 9 9 8 8 8 7 5 4 4 3 3 3 4 4 5 6 6 6 6 5 4 4 5 6 6 7 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 2 3 5 7 8 6 5 5 5 6 9 11 11 12 13 13 10 7 6 6 5 6 7 8 9 8 7 7 6 6 6 5 4 3 3 3 3 4 5 5 5 6 7 6 6 5 4 4 5 5 5 5 5 5 6 6 5 5 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 6 7 8 6 11 17 16 12 9 7 7 7 8 6 3 1 1 2 6 8 9 9 8 7 6 5 6 6 6 8 9 10 11 12 16 19 18 14 11 11 9 7 9 7 3 2 4 9 10 8 8 5 5 12 18 12 8 4 -5 -4 2 6 4 16 24 9 2 -1 2 12 14 7 6 4 -1 -4 -1 3 6 12 14 12 8 7 9 8 4 -1 -1 0 0 -4 -6 -0 6 6 1 -0 7 11 26 38 27 10 -10 -13 6 22 26 22 17 10 7 8 10 10 10 16 20 12 6 6 7 6 5 5 4 3 3 3 3 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 6 5 5 5 5 5 4 4 3 3 4 5 5 4 4 3 3 3 3 4 4 4 3 2 1 1 1 2 2 2 3 3 3 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 3 2 3 -1 -7 -9 -8 -8 -5 1 4 5 5 5 4 4 5 5 5 5 4 3 4 5 7 12 16 8 3 4 4 5 5 5 5 5 5 6 7 8 7 7 6 6 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 5 5 6 6 5 6 6 6 6 5 5 6 7 8 8 7 8 8 8 7 6 6 5 4 4 5 5 5 5 6 5 5 4 4 4 5 5 6 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 2 4 6 6 5 4 3 3 4 6 7 8 11 12 11 10 8 7 7 7 8 9 9 8 7 7 7 7 6 6 5 4 3 3 3 4 5 4 3 4 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 5 4 3 3 3 3 4 4 5 5 5 5 4 4 5 5 5 5 6 5 5 4 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 6 8 8 6 5 17 23 15 10 9 8 7 5 1 2 4 6 9 9 9 8 8 6 6 5 5 5 6 7 11 12 13 16 18 19 19 15 11 9 9 9 11 15 13 7 -1 3 6 8 5 3 2 4 9 9 7 6 10 7 3 3 5 3 9 8 2 4 7 10 12 8 8 6 1 -3 -2 2 7 8 10 10 11 6 6 5 4 -1 -7 3 15 7 -8 -6 2 3 -2 -5 -0 4 4 21 38 29 7 -7 -2 11 17 15 13 11 7 6 7 9 8 11 17 15 7 6 7 6 6 6 5 4 4 3 3 3 4 4 4 4 5 5 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 5 6 5 5 5 5 5 5 4 3 4 4 3 4 4 4 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 4 4 3 3 3 4 4 4 3 2 2 1 1 1 1 2 3 3 3 3 4 3 2 2 3 4 4 4 4 5 5 4 4 3 3 2 2 7 9 4 -0 -2 -4 -4 0 5 5 5 5 4 4 5 5 5 6 5 3 4 5 7 11 12 6 4 4 5 5 5 5 5 4 5 6 7 8 7 6 6 7 7 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 6 7 7 7 7 7 8 8 8 7 6 6 6 6 5 6 6 6 6 5 4 3 4 4 4 5 6 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 3 3 3 3 2 1 1 2 1 1 1 1 1 1 1 1 1 1 2 3 6 7 5 4 4 3 3 3 3 5 8 10 9 7 7 7 8 9 10 10 10 9 8 8 8 8 7 5 5 4 4 5 6 6 5 4 4 5 5 5 5 5 5 4 4 4 4 4 5 6 6 7 6 5 4 4 4 4 4 5 5 4 5 4 4 4 5 5 5 5 5 5 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 8 9 8 4 6 21 25 15 11 10 9 7 1 -2 2 7 9 9 8 7 6 6 5 5 6 6 5 6 11 15 14 16 19 17 16 15 12 10 9 8 6 5 5 8 8 3 1 5 8 5 1 2 4 0 -3 -0 4 14 22 15 11 7 1 1 -0 3 9 14 14 14 14 13 4 -2 -1 3 6 9 7 4 4 5 4 4 -1 -10 -19 -16 7 27 19 2 -0 -0 -6 -7 -1 3 2 4 19 33 28 8 -1 7 15 15 12 10 8 6 6 7 7 7 10 12 7 4 8 11 9 7 6 5 5 4 4 3 3 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 4 5 4 4 4 3 3 4 5 5 5 5 5 6 6 5 5 6 6 6 6 6 6 6 5 4 4 4 5 5 5 4 3 3 4 4 4 3 3 2 2 2 1 1 1 2 2 2 3 3 2 1 1 1 2 3 4 5 4 4 5 4 3 2 2 1 2 6 9 9 7 5 3 2 3 5 5 5 5 4 4 4 5 5 5 5 5 4 4 5 7 8 6 5 5 5 5 5 4 4 4 5 7 9 8 7 6 7 9 9 8 8 7 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 2 3 3 4 5 6 6 6 6 6 5 5 6 6 6 7 7 7 8 8 8 8 7 7 7 6 6 7 7 7 6 6 6 4 4 3 3 4 5 6 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 4 4 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 3 5 6 6 5 4 3 3 2 2 4 6 6 6 6 7 8 9 10 11 12 11 10 10 10 9 8 7 7 7 6 7 8 7 6 5 5 5 6 6 6 6 5 5 4 4 4 5 5 6 6 7 7 6 6 6 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 9 8 6 4 8 22 24 14 11 11 10 7 3 2 4 8 7 6 5 4 4 4 4 5 6 6 6 12 19 15 12 18 15 11 12 13 11 10 9 7 3 -3 -5 4 9 9 5 5 8 7 2 4 5 2 7 7 -1 3 12 13 15 11 2 1 4 4 8 12 9 12 17 10 2 2 5 6 7 6 3 0 0 0 1 -1 -4 -9 -10 -2 8 16 15 8 1 -4 -8 -4 5 3 1 10 19 22 18 10 8 14 17 13 10 8 7 7 7 7 6 6 7 8 7 6 9 16 13 7 5 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 3 3 4 4 4 4 5 4 4 4 4 3 3 4 5 5 5 5 5 5 6 5 5 5 6 6 6 6 6 6 6 5 4 4 4 5 5 5 4 4 4 4 4 4 3 2 2 2 2 2 1 2 2 2 2 2 1 1 0 0 1 3 4 5 5 5 4 4 3 2 2 1 3 5 8 8 8 7 6 2 -1 1 5 5 5 5 4 4 5 5 4 4 5 5 4 4 5 5 5 5 5 4 5 5 4 4 4 5 7 9 8 7 7 8 9 10 10 9 7 6 5 5 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 4 2 2 3 3 4 5 6 6 6 6 5 5 5 5 6 6 7 7 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 6 4 3 2 2 3 4 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 5 5 5 5 5 4 4 4 4 3 2 2 2 2 2 2 2 1 1 2 4 5 5 4 3 3 2 2 3 3 4 4 5 6 7 7 8 10 11 11 11 11 11 11 11 11 12 11 11 11 10 9 8 7 7 6 7 7 6 7 6 5 5 5 5 5 5 5 6 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 4 4 4 5 5 4 4 5 4 5 5 5 5 5 5 6 6 6 5 7 9 9 7 4 3 11 24 23 14 11 11 9 10 9 8 3 1 1 2 2 2 2 2 3 4 5 6 12 22 24 12 12 16 11 10 13 14 12 8 7 3 -1 -1 2 5 4 8 10 6 7 5 1 5 4 10 22 11 -2 5 8 6 10 9 4 6 8 5 5 4 -1 -1 3 1 4 7 6 4 5 6 4 4 4 3 4 3 2 2 5 8 6 4 7 10 6 2 3 6 7 6 11 17 17 10 7 8 13 18 16 12 9 7 5 6 7 6 5 6 7 7 6 6 9 18 15 7 5 5 5 5 5 4 4 4 3 3 4 5 5 4 4 5 5 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 2 2 2 1 1 0 1 4 5 6 6 5 4 3 2 2 1 0 1 5 8 8 8 7 7 3 -3 -5 2 5 5 5 4 5 5 5 4 4 4 4 3 3 3 3 3 4 4 5 5 4 3 3 5 6 7 7 7 6 6 7 7 8 8 7 6 5 5 4 4 3 3 3 3 4 4 4 5 4 5 4 4 5 5 5 5 4 4 3 3 4 6 6 6 5 5 5 4 5 6 6 5 6 7 7 8 8 8 8 7 7 7 6 6 5 5 6 7 7 6 5 4 3 2 3 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 5 6 6 7 6 6 6 6 7 6 5 4 4 3 3 3 2 2 2 1 1 2 2 3 3 3 2 1 1 2 2 3 4 5 4 4 4 5 7 8 9 9 10 10 11 12 13 13 13 12 12 12 13 12 10 8 7 7 6 6 6 6 6 6 6 5 6 6 6 6 7 8 7 6 5 5 4 4 4 4 4 4 5 4 5 5 5 5 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 5 6 9 10 8 5 3 4 15 28 22 12 9 8 9 7 5 -3 -9 -6 -0 2 3 2 2 2 2 2 4 9 19 25 20 11 11 11 10 15 17 17 14 8 6 1 -2 4 11 9 1 3 8 8 3 -0 -1 4 4 13 23 8 4 14 10 3 4 4 7 12 11 8 5 -1 -4 -4 -5 -4 5 9 7 4 5 9 10 10 9 10 10 8 6 4 6 7 7 10 8 6 9 8 8 10 8 10 16 17 10 2 2 8 15 19 16 11 9 6 5 6 7 4 4 7 8 6 5 6 10 17 16 8 5 5 5 5 5 4 4 4 3 3 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 4 4 4 3 4 4 4 4 4 3 3 3 4 3 3 3 3 4 4 4 4 5 5 5 4 5 6 6 6 6 6 6 6 6 6 6 5 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 1 1 1 2 4 6 7 6 4 3 3 2 -1 -3 -2 0 5 8 8 8 7 7 5 -0 -1 5 6 6 5 5 4 4 5 5 5 5 4 4 3 3 3 3 3 4 6 6 3 -1 1 5 6 7 7 6 5 5 5 4 5 5 5 5 4 4 4 3 3 4 4 4 4 4 5 4 4 5 4 4 5 6 6 6 6 5 5 5 5 5 6 6 5 5 4 4 4 5 5 5 5 5 6 6 7 8 8 8 7 7 7 6 6 5 5 6 6 7 7 6 4 2 2 4 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 6 6 6 6 6 7 7 7 8 8 8 8 7 6 5 4 3 3 2 2 1 1 1 2 3 3 2 1 1 2 2 2 3 4 3 2 2 2 2 4 5 6 6 6 7 7 8 8 9 9 10 13 16 18 15 11 8 6 4 4 4 5 6 7 7 7 7 6 6 6 6 7 7 6 6 5 4 4 4 4 4 4 4 5 5 5 5 6 7 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 6 6 5 5 7 10 10 6 3 3 9 25 32 21 11 7 6 5 -3 -9 -17 -13 -2 4 5 4 2 1 2 1 2 3 10 21 23 14 9 8 7 9 15 18 19 16 9 7 4 1 6 10 10 1 -2 7 11 5 -1 -1 2 7 14 17 3 9 16 8 1 -2 2 11 15 11 7 4 -1 -2 0 -2 -1 5 10 10 7 8 12 14 13 12 13 12 7 6 9 13 12 10 11 10 5 5 8 8 10 9 12 15 10 1 -1 5 10 15 18 16 12 9 6 6 7 6 4 5 8 7 4 4 5 10 18 17 9 4 5 6 6 5 5 5 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 2 1 1 1 1 2 4 6 7 6 4 2 2 2 -1 -2 0 3 6 7 7 7 7 7 6 4 4 6 6 6 6 5 4 4 5 6 6 5 4 4 4 4 5 4 3 4 6 7 6 3 2 4 6 7 6 5 4 4 3 2 3 3 3 3 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 6 6 5 4 4 5 5 5 5 5 5 5 6 7 7 7 7 8 7 7 7 7 6 6 6 6 6 8 8 7 5 2 3 5 6 7 7 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 8 8 8 9 8 7 6 5 5 4 4 2 1 1 1 2 2 3 2 1 1 1 2 3 4 4 2 2 2 2 3 3 4 4 4 4 4 3 3 4 5 7 9 14 18 17 12 8 6 4 4 4 4 6 7 8 8 7 6 6 6 6 7 7 6 6 5 4 4 4 4 4 4 4 5 5 5 6 6 7 7 6 5 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 10 8 4 3 9 22 37 33 18 11 4 -0 -2 -13 -16 -11 -1 7 8 6 3 1 0 0 1 2 3 9 18 20 14 8 6 5 6 8 12 15 15 8 8 9 6 6 6 10 5 -1 2 6 7 4 3 3 10 14 8 5 15 15 7 -1 -3 4 14 14 8 4 4 2 1 1 -1 2 6 12 13 8 9 14 15 11 10 12 10 4 6 13 13 8 8 12 13 6 2 6 9 12 12 12 10 3 -1 6 10 9 13 15 14 12 9 6 6 6 5 5 7 8 7 4 3 5 12 21 18 8 4 5 6 7 6 5 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 4 4 3 3 4 4 4 5 4 4 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 5 5 6 6 6 7 6 6 7 6 6 6 6 5 5 5 4 4 4 4 4 5 5 4 4 4 3 2 3 4 4 4 3 3 2 2 1 1 1 2 4 7 7 5 3 2 3 4 4 5 5 5 6 6 6 6 7 7 6 7 3 1 6 7 6 5 4 4 5 6 6 5 5 4 4 5 6 6 5 5 6 8 10 10 6 6 8 8 7 5 5 4 3 3 3 4 4 3 4 5 5 5 6 6 5 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 6 7 7 5 5 6 6 6 5 4 5 5 5 5 5 5 4 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 7 8 8 7 5 4 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 5 6 7 7 7 7 7 8 7 8 8 9 9 8 8 7 5 4 3 2 2 2 2 3 3 3 2 2 2 3 4 4 4 3 3 3 3 4 3 4 4 4 4 4 3 3 3 4 6 9 12 13 11 7 5 4 4 4 4 6 7 8 8 8 7 6 6 6 6 6 6 5 5 5 4 3 3 3 3 4 4 5 5 5 6 6 6 6 5 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 8 10 9 6 6 10 19 34 41 28 14 6 -3 -8 -9 -16 -13 -1 8 9 7 3 0 -2 -1 -0 1 2 4 7 12 18 17 12 9 10 8 4 4 8 10 8 8 12 13 7 11 12 9 8 5 -0 2 4 5 8 13 8 -0 10 13 4 2 1 1 7 12 10 4 3 3 3 1 -0 -0 5 10 12 11 7 11 15 16 6 3 7 6 3 7 14 10 2 7 11 13 10 3 2 7 12 9 12 8 -1 6 19 14 8 12 13 12 11 8 6 6 7 7 8 9 8 5 3 3 7 17 23 15 5 3 5 7 7 6 5 5 5 4 3 4 4 4 4 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 3 2 3 3 4 5 5 4 3 4 4 4 3 2 2 3 3 3 3 3 3 3 4 4 4 5 5 4 4 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 4 4 3 3 4 4 3 3 3 2 2 2 2 2 3 5 7 7 5 3 2 3 4 6 6 6 6 6 6 5 6 6 6 6 8 8 6 7 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 5 1 5 9 9 8 7 8 7 5 5 4 4 4 4 5 5 5 5 5 5 5 4 5 4 4 4 5 4 4 4 4 4 4 5 5 5 7 8 7 6 5 6 6 6 5 5 5 5 5 6 6 5 5 5 4 5 5 6 6 6 6 6 7 6 6 6 6 7 6 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 6 6 6 6 6 5 6 7 7 7 7 7 6 6 7 8 9 9 10 10 9 8 6 5 4 3 3 3 3 3 4 3 3 3 4 4 4 4 3 3 4 4 4 3 4 4 4 4 5 5 4 3 3 4 5 7 7 7 7 6 6 5 5 5 6 7 8 8 8 7 7 6 6 6 5 5 5 5 5 4 3 3 3 3 4 4 5 5 5 5 5 6 5 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 10 11 9 9 13 19 24 29 30 24 13 2 -7 -8 -12 -16 -9 1 4 3 2 -0 -1 -2 -1 0 2 3 5 6 8 16 21 16 14 17 14 6 3 8 9 8 7 13 15 7 11 13 15 10 9 5 1 0 5 10 10 4 8 14 4 0 3 5 6 6 8 7 4 3 4 3 2 1 3 9 13 6 4 12 18 14 8 -0 -0 4 4 4 9 11 4 4 11 7 7 10 6 4 4 5 7 11 1 -4 16 30 18 9 11 13 11 9 8 8 8 8 9 10 8 7 5 4 4 11 23 21 9 3 2 5 7 7 6 5 5 5 4 3 3 4 4 4 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 2 2 4 5 5 4 4 3 3 4 3 3 3 3 3 3 3 2 3 4 4 4 4 4 4 5 4 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 7 6 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 6 8 7 5 2 2 1 2 4 6 6 6 6 5 5 6 6 7 7 7 7 7 8 8 8 7 6 5 5 5 5 5 4 5 5 6 6 6 6 6 6 7 7 3 -3 1 6 8 8 9 10 10 9 7 6 5 4 4 5 5 5 5 5 4 4 5 5 6 6 6 6 6 5 5 4 4 5 5 5 6 7 8 8 6 5 5 7 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 7 8 8 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 10 10 10 8 8 7 6 5 4 4 4 4 4 4 4 5 5 4 4 5 5 5 4 3 3 2 3 3 3 4 4 5 4 4 5 5 5 6 6 6 7 7 6 5 5 5 7 7 8 8 7 7 6 6 5 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 4 5 5 6 6 5 5 5 5 4 5 6 7 9 10 11 12 15 17 19 20 16 12 12 10 5 1 -3 -15 -17 -9 -3 -2 -1 -1 -1 -1 -0 1 2 3 5 6 7 10 20 24 17 14 18 17 9 6 7 7 6 7 11 11 8 5 6 10 7 14 13 2 -1 4 7 3 9 26 20 -0 3 6 9 8 6 6 6 6 6 6 6 6 4 4 8 10 -1 -4 8 16 18 8 -1 -1 3 6 8 11 11 5 1 4 4 6 6 7 7 3 0 14 11 -2 4 23 29 17 10 11 12 11 9 9 9 9 9 10 9 7 6 5 4 6 16 24 18 6 3 2 5 7 8 6 6 5 5 4 4 4 4 4 4 3 3 4 5 5 4 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 4 5 5 3 2 2 3 4 4 4 4 4 3 3 3 3 3 3 4 4 3 2 2 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 7 7 7 7 6 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 5 6 8 7 4 0 -3 -6 -3 3 6 6 6 6 5 6 6 6 7 7 7 4 1 6 9 8 8 7 6 5 5 5 2 0 1 2 3 3 4 5 6 7 8 7 9 5 1 4 4 5 7 9 11 11 8 6 5 5 5 5 5 4 4 4 4 4 5 6 7 8 8 8 7 6 5 5 5 5 5 6 6 7 9 8 7 5 5 6 7 6 6 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 3 3 3 4 4 4 3 4 5 6 6 7 7 8 9 9 9 9 9 9 8 6 5 5 4 5 5 5 5 6 5 6 6 7 7 6 4 2 3 2 2 2 2 2 3 3 4 4 5 5 6 6 5 5 6 7 7 6 5 5 6 7 8 8 8 6 6 6 5 4 5 6 6 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 7 9 10 10 11 15 17 13 9 13 20 18 7 4 10 13 9 -3 -20 -18 -9 -4 -2 -1 -0 1 2 2 3 4 5 7 10 12 18 24 22 15 13 14 14 12 7 4 2 4 9 7 5 8 8 8 3 8 13 8 -1 3 9 7 -0 7 17 12 2 4 6 7 8 7 3 4 9 12 11 8 8 7 4 4 7 -0 -5 2 5 15 13 9 -0 1 8 11 10 8 5 2 3 7 10 11 12 6 2 1 11 10 10 19 24 19 13 12 12 11 10 9 9 9 8 8 9 7 6 4 4 4 9 19 23 14 4 3 3 5 7 8 7 6 5 5 4 4 4 4 4 3 3 4 4 5 5 5 5 6 6 5 5 5 4 4 4 4 4 3 4 3 3 4 5 4 2 2 2 3 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 7 6 6 6 6 6 6 6 6 7 7 7 6 7 7 7 7 6 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 3 3 4 4 4 4 6 8 9 8 4 -0 -6 -8 -3 4 6 6 5 5 6 7 7 7 7 7 7 5 2 4 8 9 8 7 7 5 6 6 4 1 -1 -1 -0 0 -0 3 7 7 7 6 9 11 5 4 3 3 4 6 8 9 8 7 6 5 5 4 4 4 4 4 4 5 6 7 7 8 8 7 6 6 6 5 6 6 6 6 6 7 8 9 8 6 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 3 2 2 3 4 5 4 4 4 4 4 3 4 5 6 8 8 8 9 7 7 8 7 6 6 6 6 6 6 6 6 5 7 8 9 8 6 4 2 3 3 3 3 2 2 2 2 3 4 5 6 6 6 5 5 5 6 7 7 6 6 5 6 7 8 8 7 7 6 5 6 5 6 6 5 5 5 5 5 5 6 6 6 5 5 6 5 5 5 6 5 4 4 3 3 3 4 5 5 5 5 5 5 5 5 7 12 16 16 13 14 17 14 4 -1 9 24 27 15 7 7 9 2 -14 -23 -15 -5 -1 0 1 2 3 5 6 6 7 9 16 20 21 23 20 17 16 14 12 13 13 9 5 3 4 8 7 3 -1 -0 4 2 7 3 -2 -3 7 14 8 -1 -2 1 7 9 4 4 3 6 7 3 3 10 16 14 10 9 10 6 2 6 4 4 6 0 1 1 6 3 6 14 12 7 1 -0 7 16 13 9 17 21 9 2 6 0 3 19 24 19 12 10 12 11 10 9 9 8 8 7 9 9 7 5 4 4 5 9 19 22 11 3 3 4 5 7 8 7 5 5 4 4 4 4 3 3 4 4 5 5 5 5 5 6 6 6 5 5 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 3 4 5 5 4 4 3 4 4 3 3 3 4 4 5 5 5 4 5 5 5 5 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 7 7 6 5 5 5 5 5 6 6 5 4 5 4 4 4 5 4 4 4 4 4 4 5 6 9 11 8 3 -0 -1 -0 2 5 5 5 5 5 7 10 11 10 7 6 7 8 8 9 8 8 8 7 7 6 7 8 11 10 7 7 8 8 7 8 8 8 8 9 8 7 6 5 4 4 3 4 5 6 7 8 7 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 9 10 9 6 6 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 7 8 8 9 10 10 9 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 5 5 5 6 7 8 8 8 7 6 5 3 4 4 5 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 6 8 9 8 7 5 3 3 4 5 4 3 3 3 3 3 4 4 4 5 5 5 4 5 5 6 6 7 6 6 6 6 6 7 8 8 7 7 7 7 7 6 5 5 5 5 5 5 5 6 6 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 5 5 5 5 5 5 7 14 21 24 21 16 13 13 7 -4 -3 7 17 17 8 -2 -9 -13 -16 -20 -17 -7 -1 1 1 3 4 6 7 7 8 10 16 26 26 20 15 12 13 18 15 14 15 14 11 9 6 3 4 8 2 -7 -4 -1 -1 -2 -3 -1 1 7 13 6 1 2 6 10 8 2 3 3 1 5 7 6 9 15 17 14 13 13 8 3 6 9 9 6 2 0 -3 -1 2 9 16 13 8 1 3 15 17 8 6 15 20 12 5 11 -1 2 23 24 14 8 8 11 12 11 10 9 7 7 8 9 9 7 4 3 4 5 9 18 22 12 4 5 5 5 7 8 7 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 4 4 4 4 3 3 3 4 4 4 4 5 5 4 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 8 11 10 6 -1 -4 -1 3 5 5 5 5 5 6 8 11 14 12 8 6 7 12 16 11 7 8 8 7 7 6 6 7 10 12 14 15 16 16 15 10 6 6 7 11 10 6 6 5 5 5 4 4 4 5 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 5 6 6 6 5 5 6 6 9 10 9 7 7 7 6 6 5 6 5 5 5 5 5 5 6 6 6 6 7 7 7 8 7 7 8 8 8 7 7 7 7 9 9 11 11 10 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 13 12 11 12 11 10 10 10 12 13 12 12 12 12 10 8 7 7 7 7 7 7 9 10 11 10 9 9 9 8 8 8 7 7 7 8 8 7 5 4 4 4 4 5 3 2 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 7 8 9 8 8 7 8 8 7 5 4 4 4 4 4 4 4 4 3 3 4 5 5 5 4 5 5 6 5 4 3 3 3 4 5 5 5 5 5 8 15 23 24 20 15 11 8 9 3 -4 -2 4 8 1 -6 -14 -23 -26 -18 -12 -6 -1 -0 1 3 5 6 8 8 9 12 16 25 29 21 11 8 8 11 13 10 13 16 13 11 10 6 4 8 12 6 1 6 10 5 -2 -1 6 6 6 12 4 1 7 13 9 2 3 5 3 0 4 8 7 6 10 16 17 18 13 7 6 9 9 6 5 5 5 11 8 0 8 15 16 11 4 8 14 9 -1 -0 8 10 9 10 17 10 8 22 23 13 8 9 11 11 10 10 9 7 7 9 9 8 7 4 3 4 5 8 17 22 13 6 6 5 5 6 7 6 6 5 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 3 2 3 4 4 5 5 6 6 6 6 6 5 6 7 7 7 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 7 7 7 6 6 5 5 5 5 4 4 4 4 5 5 5 6 5 5 5 4 4 5 7 10 11 7 -0 -8 -9 -4 1 6 6 6 6 6 6 7 6 6 9 9 7 9 15 16 8 7 8 8 7 6 5 5 5 6 7 9 11 11 11 8 5 5 5 6 8 8 6 6 6 6 5 5 4 4 5 6 6 6 6 6 6 5 5 5 5 6 6 5 4 4 4 4 5 5 6 6 7 7 6 5 5 5 6 9 10 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 8 8 8 8 9 8 8 8 7 7 8 9 11 12 11 10 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 3 4 11 18 18 13 7 6 8 11 12 17 23 18 9 6 6 12 14 11 6 7 11 13 12 8 7 5 10 18 24 27 26 21 17 15 10 6 6 8 10 14 16 17 14 11 10 10 13 17 18 19 18 14 13 9 8 9 10 8 8 8 11 13 13 14 15 15 14 13 13 12 11 9 11 14 17 19 22 23 23 22 21 19 18 15 13 11 10 8 7 7 8 9 11 12 13 14 13 13 12 12 12 11 10 10 12 13 11 10 11 12 14 15 15 14 13 13 15 15 15 14 13 13 13 13 13 13 13 13 12 11 9 10 11 11 11 12 11 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 11 11 10 10 11 11 11 10 10 11 10 11 12 14 15 13 13 13 13 12 12 12 11 10 11 11 12 12 11 11 11 12 12 12 12 11 11 11 11 12 11 11 12 12 12 10 10 10 11 12 12 12 11 11 10 10 12 13 13 12 12 12 12 12 12 12 11 12 12 11 11 10 9 8 9 13 14 13 12 12 12 12 12 12 12 12 13 12 12 11 11 11 12 13 13 12 11 12 11 12 13 12 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 13 13 13 12 9 9 10 8 9 12 13 14 13 13 13 13 13 13 12 13 13 12 13 13 12 12 12 13 12 12 12 12 13 14 14 14 13 13 14 14 13 14 14 14 13 13 13 13 14 13 14 14 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 14 15 14 13 12 12 12 11 10 9 9 10 11 12 13 14 14 13 13 13 13 13 14 14 15 15 11 8 9 12 14 13 12 12 11 10 10 9 9 10 10 13 16 18 19 18 15 13 12 12 12 12 11 11 11 11 12 12 13 12 12 12 13 12 12 11 12 12 13 14 14 14 13 13 14 15 14 15 15 14 13 13 13 16 19 19 16 12 11 12 13 12 12 14 15 14 12 10 10 12 15 15 15 15 16 15 15 14 14 14 14 14 14 14 15 16 17 18 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -5 -2 6 13 18 17 14 6 7 17 32 28 7 6 9 16 18 15 11 10 12 16 21 25 27 23 16 13 12 6 2 4 6 9 13 17 18 15 11 7 7 12 17 21 20 15 10 9 7 8 8 9 8 8 10 15 16 12 10 12 13 13 13 15 16 16 14 15 15 15 16 19 22 21 19 17 19 18 15 12 9 8 7 5 6 5 7 9 10 12 13 14 14 15 14 14 14 13 12 13 13 13 15 15 16 17 18 18 17 17 18 18 15 15 14 14 14 13 12 13 14 13 11 10 9 8 8 10 11 11 10 10 11 11 11 11 11 11 12 11 11 12 12 12 11 12 12 11 12 12 11 11 11 10 11 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 10 9 8 9 12 15 15 15 14 13 13 12 12 12 11 11 12 12 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 10 11 11 12 13 13 12 10 9 9 11 14 15 14 13 12 11 12 13 12 11 12 12 13 12 12 11 9 9 11 13 13 14 14 14 12 11 11 12 13 13 13 13 13 12 11 11 12 12 12 12 12 12 13 13 12 12 12 11 11 10 10 11 12 12 12 11 11 11 11 12 12 12 12 12 11 12 12 13 12 11 11 7 7 12 14 14 13 12 12 12 13 13 13 13 12 13 13 13 13 13 12 12 13 13 13 13 13 13 13 14 14 14 15 14 14 14 15 15 14 15 14 14 14 14 14 14 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 14 12 9 8 6 7 8 11 13 13 14 14 14 14 14 14 14 14 15 15 16 15 13 13 12 13 13 13 12 11 11 11 10 10 10 9 10 12 12 12 12 12 11 11 12 12 13 14 13 13 12 12 12 13 12 12 13 14 13 13 12 12 13 14 14 14 13 13 13 14 14 14 14 14 14 13 13 15 18 19 17 13 12 12 14 14 14 14 15 14 12 11 12 13 15 15 15 15 15 15 14 14 13 14 14 13 13 13 14 15 16 16 17 nan
nan nan nan nan nan 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 9 19 32 21 9 7 11 12 11 7 6 8 16 20 21 18 17 13 9 8 7 5 6 8 11 14 16 17 17 17 13 9 7 8 10 13 13 9 9 11 11 10 7 7 7 9 12 15 14 11 10 11 12 14 15 17 19 18 14 12 11 10 9 10 12 11 10 11 14 15 13 10 8 7 8 7 6 7 8 10 11 12 13 15 16 17 17 17 17 16 14 11 9 9 12 13 14 15 16 15 16 18 18 16 15 14 13 13 13 13 14 13 12 11 9 8 8 8 10 11 11 10 10 11 11 12 11 11 12 11 11 10 11 11 12 12 11 12 11 11 11 12 12 12 11 11 11 12 11 10 10 9 9 9 10 10 10 10 10 11 11 11 11 9 8 7 7 10 13 15 16 15 14 12 12 12 12 11 11 12 11 12 13 13 12 12 12 11 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 10 12 13 14 13 12 11 12 13 12 11 12 12 13 14 15 13 10 8 8 9 11 13 13 14 13 13 12 12 13 13 13 14 14 13 13 12 12 12 13 13 13 13 13 12 12 12 12 13 12 11 11 11 12 12 12 12 11 11 12 12 12 13 13 12 12 13 12 11 9 8 10 10 10 12 14 13 13 12 12 12 12 12 12 12 12 13 13 12 13 13 12 12 13 13 12 13 13 13 13 14 14 15 15 15 15 14 15 15 15 14 14 14 14 14 14 14 14 13 13 13 14 14 15 15 15 15 14 14 14 14 15 15 15 15 16 16 17 17 17 16 14 13 12 12 13 14 14 14 14 13 13 14 14 14 15 15 14 15 16 18 17 15 13 12 11 11 12 12 12 12 12 12 10 10 10 11 10 10 11 12 12 11 12 12 13 13 13 13 12 12 13 12 13 14 13 13 14 14 12 12 12 13 14 14 13 13 13 12 13 13 13 13 13 13 13 15 16 17 18 16 12 12 13 14 13 14 16 16 14 12 12 12 13 14 15 15 15 15 14 13 13 13 13 14 14 13 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 7 6 10 15 20 21 19 14 11 8 4 2 3 6 10 13 15 17 18 17 15 14 13 13 9 6 5 6 7 8 10 12 13 10 9 9 10 13 14 13 12 11 12 15 17 17 14 15 18 15 11 10 8 6 6 5 6 7 8 10 12 14 13 11 8 8 9 11 12 12 13 15 17 18 17 14 13 16 17 19 19 18 16 13 12 11 9 6 5 6 9 10 12 16 15 14 14 13 13 13 13 14 14 13 11 10 9 8 9 10 12 12 11 11 10 10 11 12 12 12 12 11 10 10 10 10 11 12 12 10 10 9 10 10 11 12 11 12 13 13 12 11 10 9 9 9 9 10 9 9 10 11 11 11 12 12 10 7 6 7 9 12 17 18 15 13 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 10 9 10 11 12 11 11 12 13 14 14 13 12 12 12 11 11 10 10 11 12 12 12 11 11 11 12 12 12 12 12 12 14 14 14 12 10 8 8 9 10 11 12 13 12 12 11 12 13 14 15 15 14 13 13 13 14 14 13 13 13 12 12 13 12 13 13 12 12 12 11 11 11 12 12 13 12 12 13 13 14 14 14 12 11 11 11 10 9 10 11 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 12 12 13 13 13 13 13 13 13 14 14 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 14 14 14 14 15 15 15 15 14 14 14 14 14 15 15 16 17 17 16 16 16 15 15 15 16 15 16 15 14 14 14 14 14 14 15 15 15 15 16 17 19 20 17 13 12 11 11 12 12 12 12 12 11 11 10 10 11 10 10 11 12 12 12 13 12 12 12 12 11 12 13 13 13 14 15 15 14 14 13 12 13 13 13 14 14 13 12 12 13 13 13 13 13 12 12 13 15 16 17 16 14 14 12 12 13 13 14 15 15 12 11 11 12 13 14 14 15 15 14 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 10 9 5 4 7 10 11 13 15 17 17 16 13 10 11 12 13 12 10 8 7 9 14 16 15 13 14 15 17 18 17 15 13 14 17 19 19 16 9 12 16 11 10 10 9 7 5 4 4 6 9 11 13 14 15 13 13 12 12 14 15 18 20 21 22 22 18 10 7 12 15 17 18 19 18 16 16 15 12 9 7 7 8 9 13 17 14 10 10 10 12 13 13 12 12 12 11 10 10 10 10 11 12 12 12 11 10 10 10 11 12 12 11 11 10 9 9 10 10 11 11 10 9 9 9 10 10 11 10 12 13 14 13 12 11 10 9 9 9 9 9 9 9 10 9 11 12 12 12 11 9 7 7 8 14 18 17 15 13 12 12 12 11 11 11 12 12 12 12 12 12 11 12 12 11 10 8 7 9 11 11 9 10 11 13 14 15 14 11 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 13 13 13 12 11 9 8 8 9 10 11 11 10 10 11 13 14 15 15 14 14 14 14 14 15 15 14 13 13 13 12 12 13 13 12 12 12 12 11 12 12 13 13 14 13 13 13 13 13 13 13 12 11 12 13 13 12 11 11 12 12 12 13 14 14 14 13 13 13 13 13 13 12 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 14 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 15 16 15 13 12 12 13 13 13 14 15 15 14 14 14 14 14 14 14 14 15 15 15 16 16 18 21 22 20 17 15 12 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 12 12 12 11 12 12 13 13 14 15 15 15 14 13 12 12 13 13 13 14 14 12 12 13 13 13 12 13 13 13 13 13 12 12 14 14 15 14 13 10 11 12 13 14 14 12 10 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 5 6 7 6 5 5 5 5 5 5 6 5 7 12 18 25 28 29 32 36 37 34 29 22 17 18 21 21 19 17 10 2 0 0 0 0 0 0 0 1 4 6 5 2 2 2 2 2 2 2 2 2 1 1 0 0 1 2 2 1 0 0 1 2 2 2 2 2 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 5 2 2 3 3 6 9 9 9 13 20 20 15 1 0 0 0 0 0 0 0 0 0 0 0 0 6 21 34 46 57 61 61 61 58 54 51 51 56 62 68 78 94 106 105 106 117 128 132 128 119 112 110 109 106 102 98 96 93 90 86 83 82 81 81 80 78 75 75 75 71 58 46 45 36 24 19 20 23 24 31 30 22 19 16 13 6 0 0 0 0 0 0 0 0 0 1 9 17 19 17 24 22 1 0 11 33 45 47 53 65 72 84 98 114 122 124 122 119 116 108 97 89 92 84 68 61 78 103 119 122 123 125 127 129 130 132 134 136 139 142 143 143 144 138 133 129 126 122 117 113 110 110 111 117 124 126 127 128 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 4 5 5 5 4 4 4 4 4 4 4 5 7 11 16 21 27 34 37 37 32 23 16 14 18 22 20 16 10 3 0 0 0 0 0 0 0 0 1 3 3 2 1 1 1 1 1 1 1 1 0 0 0 0 0 1 2 1 0 0 0 0 1 2 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 1 1 6 17 19 15 4 1 0 0 0 0 0 0 0 0 0 0 12 21 32 44 55 64 66 64 58 51 48 45 44 50 57 63 75 90 100 100 101 114 127 132 129 118 105 100 100 98 94 91 90 88 87 86 88 88 86 82 77 72 68 65 64 59 45 29 23 12 6 6 9 13 15 15 12 8 10 7 9 9 1 0 0 0 2 1 0 0 0 1 1 2 1 7 15 26 5 3 10 30 39 32 15 24 37 56 76 103 120 123 121 117 114 115 115 115 117 112 106 108 118 125 124 119 119 122 126 130 133 136 140 142 143 143 134 124 122 121 116 113 113 113 107 102 101 104 108 115 123 126 125 124 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 6 5 4 4 4 4 3 2 2 2 2 3 4 4 4 4 6 12 20 27 34 37 34 26 17 13 17 23 24 19 13 6 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 12 16 15 12 5 1 0 0 0 1 2 1 1 6 15 29 35 42 51 58 63 65 64 55 45 41 39 40 47 55 62 75 90 100 99 98 107 121 132 133 123 106 94 93 92 88 84 80 76 74 78 82 85 84 78 71 65 58 53 52 49 43 31 22 0 0 1 2 4 8 13 6 1 0 0 2 3 0 0 0 0 5 8 16 18 30 20 16 18 26 34 34 28 15 22 30 35 34 26 11 3 13 47 76 100 121 121 116 112 110 110 112 115 118 118 120 124 121 115 111 113 115 118 122 121 120 119 119 124 126 122 113 109 110 113 113 113 110 107 100 94 94 101 107 113 122 128 125 119 113 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 6 6 7 6 5 4 2 0 0 0 0 0 1 2 2 2 3 5 10 16 22 26 25 21 17 14 17 23 27 24 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 14 8 1 0 0 0 4 7 6 8 20 34 45 49 50 52 57 59 60 59 51 45 40 35 35 44 56 66 77 92 100 96 92 98 111 125 134 130 115 99 89 86 83 76 68 59 56 57 60 64 66 63 56 46 35 29 23 10 17 14 4 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 3 6 14 28 46 55 55 58 63 56 45 40 44 50 49 37 23 13 7 19 59 94 107 111 120 117 112 107 104 105 106 108 113 118 120 122 119 115 113 115 118 121 122 120 115 110 108 110 113 112 106 106 108 109 110 109 107 103 94 87 87 96 104 111 119 127 126 118 110 103 nan nan nan nan nan nan nan nan nan nan 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 6 9 11 9 7 4 2 1 0 0 0 0 0 1 1 1 2 4 6 8 9 10 10 10 11 15 21 28 29 22 14 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 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 4 0 0 0 0 5 10 11 17 29 40 49 51 50 51 53 52 52 49 44 43 40 34 34 44 58 69 80 93 97 90 86 90 99 110 124 132 126 111 95 86 81 72 60 48 40 37 34 32 36 38 30 20 9 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 18 40 60 69 69 59 46 39 49 56 63 61 40 14 10 52 106 126 120 108 109 109 108 104 101 102 102 103 106 112 116 118 117 116 116 116 119 121 120 114 108 104 103 104 107 110 109 107 106 104 103 103 102 99 95 89 88 91 98 106 115 124 127 124 118 107 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 10 8 8 11 13 13 11 8 5 4 3 1 0 0 0 0 0 0 0 1 2 2 2 2 2 3 4 9 16 25 32 30 22 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 3 1 0 0 5 11 13 18 27 36 42 44 45 46 46 48 45 36 30 30 32 32 39 53 65 72 86 97 94 82 78 82 89 96 108 121 128 122 110 97 87 77 64 46 32 20 18 16 17 13 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 2 8 26 43 52 53 49 47 57 62 86 107 100 70 49 89 122 122 110 100 99 99 98 98 99 100 100 102 106 109 110 111 112 109 104 107 112 114 113 110 101 97 98 100 103 109 112 110 108 104 101 100 101 100 100 98 96 91 89 94 108 120 126 135 136 128 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 nan nan
nan nan nan nan nan nan 10 10 10 10 11 12 13 13 11 9 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 18 29 33 28 22 15 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 7 4 4 8 12 14 16 20 25 27 28 32 32 30 35 35 26 16 15 19 30 48 61 68 74 86 94 87 73 68 72 80 87 93 102 113 118 117 109 100 90 75 56 38 26 18 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 3 14 32 44 61 75 93 96 118 137 148 140 118 131 132 120 101 96 95 91 89 89 92 95 96 99 105 107 106 105 107 106 101 102 107 110 108 107 104 100 99 99 99 104 109 113 114 110 105 102 102 104 105 104 103 93 83 84 97 109 118 134 150 155 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 7 8 9 8 8 10 12 11 8 6 6 6 6 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 3 8 18 28 31 30 26 20 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 14 10 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 1 7 12 13 11 10 11 13 15 17 18 19 18 18 17 17 18 20 21 20 10 8 12 31 58 64 67 71 82 88 80 67 60 62 70 78 83 86 91 99 105 107 105 99 88 72 55 38 22 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 2 20 41 68 91 107 118 136 138 148 153 156 164 153 138 114 96 88 86 86 85 85 87 90 95 99 102 104 104 106 108 107 107 109 111 110 107 104 102 101 100 98 100 103 110 115 113 110 108 106 107 109 109 108 101 89 85 90 98 106 121 143 160 167 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 nan nan nan nan nan 3 4 4 4 4 5 6 9 9 7 5 4 4 5 5 5 6 5 1 0 0 0 0 0 0 0 0 0 0 0 2 5 16 25 28 28 27 19 9 4 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 4 6 8 14 19 16 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 4 9 10 9 9 12 13 16 16 17 17 17 16 16 16 18 18 14 7 4 12 40 60 60 58 62 74 82 78 67 57 55 59 66 71 74 76 80 86 91 94 94 90 80 66 46 22 4 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 16 48 78 104 119 122 122 123 128 132 138 148 157 156 144 123 103 93 91 90 88 84 86 92 96 99 103 105 107 109 111 111 113 114 114 111 106 100 98 99 98 99 101 105 110 111 111 111 110 110 113 115 117 115 105 96 93 93 96 107 126 141 146 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 3 3 2 1 1 3 5 9 9 7 5 4 4 4 5 7 9 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 19 20 22 20 13 8 5 4 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 14 22 26 22 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 3 4 6 8 6 7 10 14 16 14 14 15 15 11 3 1 8 38 58 52 22 42 60 72 74 68 58 52 51 53 56 59 61 64 68 72 76 78 76 71 63 48 29 9 0 0 1 3 4 2 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 2 27 59 85 110 127 128 121 115 113 112 112 117 130 146 155 151 137 119 106 104 100 93 92 94 98 101 104 107 107 108 108 108 112 112 113 114 110 103 99 98 97 96 98 101 106 108 108 110 112 114 117 120 124 126 121 114 105 97 93 98 112 124 125 nan nan nan nan nan nan nan 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 2 2 2 1 1 2 5 9 10 6 5 5 4 3 5 8 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 11 14 16 15 12 10 8 6 5 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 2 2 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 13 17 24 25 25 22 17 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 7 14 12 7 9 8 4 0 0 2 34 36 20 3 18 41 55 62 62 58 52 46 43 40 39 37 42 50 55 59 60 59 56 50 42 33 16 1 0 0 1 3 5 6 4 7 6 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 7 34 59 80 101 118 121 116 111 107 103 101 101 110 124 141 154 155 144 128 118 114 108 107 108 108 107 106 107 107 110 110 107 107 107 109 113 112 108 103 100 98 97 98 100 103 106 107 108 109 111 116 123 127 131 133 132 123 107 95 92 102 112 115 nan nan nan nan nan nan nan 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 2 2 2 2 2 4 6 6 5 5 5 4 3 4 7 8 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 18 16 13 12 11 10 8 6 5 4 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 12 13 18 20 20 25 26 21 10 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 2 15 10 0 2 1 0 0 0 0 7 5 1 0 4 18 36 46 49 49 47 44 40 27 11 2 10 24 34 42 45 45 42 39 35 27 12 2 0 0 0 0 3 6 9 8 9 11 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 24 46 63 80 94 102 105 105 103 98 92 93 98 108 120 136 151 157 147 132 122 117 116 116 116 116 111 109 108 111 112 110 108 108 108 108 109 108 106 103 101 100 100 101 103 106 110 113 111 110 112 120 124 128 137 145 142 126 109 99 97 103 112 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 1 1 2 2 3 4 3 3 2 2 1 2 3 4 5 5 4 2 0 0 0 0 0 0 1 2 1 0 0 0 0 0 4 12 17 15 12 12 13 11 8 6 7 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 3 3 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 4 5 5 9 12 16 20 22 23 27 26 20 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 0 0 0 0 0 0 0 0 0 0 0 2 7 6 0 0 0 0 0 0 0 0 0 0 0 0 0 15 24 28 30 32 36 36 28 15 4 0 3 11 21 28 32 32 30 25 13 7 2 0 0 0 0 2 5 13 20 23 22 19 12 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 30 42 57 70 81 90 95 98 94 84 83 88 95 103 116 133 150 156 147 136 126 121 117 118 122 120 116 115 114 113 112 111 110 108 106 104 104 105 104 105 103 101 101 102 106 112 119 119 114 113 116 118 120 130 144 152 148 132 112 100 103 115 123 nan nan nan nan nan nan 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 1 1 0 1 0 0 0 0 0 1 2 3 6 7 4 3 3 3 2 1 0 2 3 3 1 0 2 0 0 1 5 11 11 10 11 14 13 9 6 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 2 2 2 2 2 2 3 3 3 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 0 0 0 4 6 7 10 16 20 24 27 30 31 25 16 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 7 9 11 13 17 19 10 2 0 0 1 6 13 16 15 15 14 4 1 0 0 0 0 0 4 9 33 38 35 29 24 20 16 11 11 6 4 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 20 33 47 60 72 81 88 89 84 81 83 87 92 102 114 130 145 151 148 139 130 124 123 127 128 126 124 122 119 115 112 111 110 107 103 102 104 106 107 106 105 103 102 102 107 115 120 118 115 114 114 116 124 137 151 158 152 134 118 116 125 134 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
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 11 8 6 7 8 8 6 3 2 2 3 2 0 1 0 0 0 1 3 6 6 10 15 14 8 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 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 1 1 0 2 6 9 12 18 23 27 31 32 30 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 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 1 1 3 4 2 0 0 0 2 7 8 8 4 2 1 0 0 0 0 0 0 1 10 27 43 42 37 33 29 28 28 26 26 24 21 20 20 19 16 9 3 0 1 0 0 0 0 0 0 0 0 0 0 0 1 3 7 16 33 46 60 70 77 82 85 86 86 89 94 100 110 125 140 148 146 139 132 130 131 133 131 131 130 128 122 115 113 112 111 107 104 103 103 105 105 107 107 105 101 100 105 114 116 114 111 111 115 122 132 141 150 158 161 150 142 143 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 11 10 10 10 11 11 8 4 2 2 1 0 0 0 0 0 0 0 3 4 6 11 10 6 3 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 1 1 1 1 2 2 2 3 3 3 2 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 10 12 20 26 30 32 31 27 20 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 0 0 0 0 0 2 6 7 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 1 0 0 0 1 4 4 5 1 0 0 0 0 0 0 0 0 1 7 14 18 21 22 27 31 36 38 35 27 21 21 24 30 38 43 42 32 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 28 40 54 68 80 87 90 91 92 93 96 105 120 135 142 140 135 134 134 133 133 132 131 130 126 120 116 115 115 113 111 106 103 102 101 104 108 108 104 99 99 104 109 108 106 107 113 123 133 136 134 145 173 178 173 165 156 nan nan nan nan nan 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 12 13 11 10 12 14 13 9 5 2 1 1 0 0 0 0 0 0 1 2 2 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 3 2 2 2 2 2 2 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 2 2 3 6 8 11 14 21 28 32 33 31 25 18 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 1 4 6 4 8 22 30 34 34 27 16 8 6 9 15 25 40 60 69 59 32 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 11 20 35 56 74 84 88 88 86 85 87 98 114 131 138 136 133 134 135 133 128 126 124 121 118 116 115 117 120 120 114 107 103 102 103 105 106 108 105 101 101 103 103 101 100 106 120 135 136 127 131 157 178 185 177 159 nan nan nan nan nan 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 2 8 13 13 11 12 14 15 13 8 6 4 3 1 0 0 0 0 0 0 0 0 2 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 1 1 2 2 3 3 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 0 0 0 0 0 2 3 2 6 11 12 15 21 28 33 33 30 25 18 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 6 6 14 19 21 18 9 2 0 0 0 1 5 12 34 60 78 66 32 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 23 52 69 77 79 76 75 70 77 92 114 131 135 131 133 137 135 129 126 122 120 117 114 113 115 119 121 119 114 108 107 108 110 110 113 110 105 102 103 102 100 98 100 114 130 136 129 125 136 157 174 176 160 145 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 2 1 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 5 11 12 11 11 11 12 11 9 8 8 8 5 2 2 2 2 2 1 0 0 1 2 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 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 0 0 0 0 3 4 1 4 13 14 16 22 29 35 33 30 24 18 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 7 8 13 15 14 11 5 0 1 0 0 0 0 0 6 24 50 66 50 27 9 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 5 26 45 60 64 63 64 59 61 72 91 111 123 129 133 137 136 133 129 127 124 121 117 115 114 117 120 119 117 113 114 117 123 124 122 114 106 104 105 107 107 106 105 113 128 139 140 132 130 141 159 169 163 153 nan nan nan 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 1 0 0 0 0 0 2 3 4 4 2 0 0 0 0 0 0 0 0 4 10 12 10 9 7 5 5 6 8 11 13 11 7 4 3 4 3 2 1 0 2 4 7 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 2 4 2 3 14 15 16 23 30 35 33 28 22 17 12 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 15 14 11 8 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 8 10 17 19 19 21 17 14 9 5 2 0 0 0 0 6 17 33 43 36 18 6 5 6 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 5 19 36 47 52 53 52 50 55 69 88 107 124 138 144 144 138 132 132 131 127 123 122 121 121 117 114 116 115 117 125 132 135 131 122 111 105 107 112 119 122 122 123 128 138 145 144 137 135 143 158 167 171 nan nan nan 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 4 4 3 3 4 3 1 0 1 2 3 2 1 0 0 0 0 0 0 0 1 6 10 10 9 6 1 1 2 5 10 17 19 15 9 4 3 2 2 2 2 4 7 10 12 11 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 0 0 0 0 0 0 1 2 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 4 13 15 18 25 32 37 34 28 22 16 11 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 15 16 13 10 7 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 2 5 8 14 22 24 30 33 25 22 20 15 10 5 1 0 0 0 2 10 27 31 18 8 8 8 8 7 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 6 14 25 39 50 50 47 49 56 69 89 116 142 155 154 147 140 138 139 137 133 131 129 127 122 118 115 114 117 125 133 137 135 129 119 110 110 116 126 132 132 130 129 135 143 144 134 124 125 139 158 179 nan nan nan 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 1 1 3 6 8 9 9 7 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 6 10 11 9 5 2 0 2 6 14 17 15 10 4 1 1 1 2 3 5 7 10 12 14 14 12 6 3 1 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 16 21 29 37 39 35 31 24 14 9 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 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 2 9 14 15 12 9 7 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 19 24 25 28 26 21 19 18 17 14 11 5 1 0 0 0 3 11 17 12 8 8 9 8 7 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 2 4 9 16 26 42 51 54 58 64 78 100 130 151 155 149 142 141 141 144 147 146 142 135 130 124 118 116 119 124 129 133 134 133 128 122 118 120 128 136 135 132 129 134 141 141 131 121 117 123 139 160 nan nan 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 10 11 10 8 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 2 6 9 11 11 5 1 0 2 6 8 8 7 4 1 0 0 0 1 2 4 7 10 12 14 14 12 9 6 3 2 2 3 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 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 1 1 4 11 17 24 31 38 42 37 32 26 15 8 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 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 8 11 10 8 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 20 22 21 19 16 12 8 8 9 9 9 6 5 4 3 0 1 5 8 8 7 8 8 8 7 7 6 6 8 7 1 0 0 0 0 0 0 0 0 0 1 2 4 8 15 29 53 60 68 71 80 92 111 134 139 134 124 118 122 133 145 154 154 148 140 132 124 119 119 122 124 128 133 135 133 134 127 126 131 135 134 130 128 133 141 148 148 143 134 129 130 137 142 nan 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 0 0 0 0 5 11 13 10 5 3 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 1 3 6 9 9 5 1 0 0 1 2 3 2 1 0 0 0 0 0 1 4 6 8 9 11 12 12 10 5 4 4 4 4 4 4 4 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 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 3 11 18 28 34 38 44 40 34 27 15 8 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 6 4 3 3 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 9 16 16 13 9 5 2 1 0 0 3 5 7 10 11 9 5 5 10 13 10 7 7 7 7 7 7 7 7 13 13 8 2 0 0 0 0 0 0 0 0 0 0 1 2 5 16 48 64 77 82 87 93 101 113 116 112 103 93 95 109 128 145 154 151 145 139 128 119 118 117 118 123 132 138 139 140 135 132 135 137 135 130 127 130 139 153 168 174 166 157 147 137 128 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 5 2 0 0 0 5 16 21 14 4 0 0 0 0 0 0 0 0 3 2 0 0 0 0 0 0 0 0 0 1 3 7 7 4 2 0 0 1 3 2 2 2 2 1 0 1 2 3 4 4 4 4 6 7 8 6 5 4 4 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 2 2 1 0 0 0 0 1 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 2 10 18 30 37 40 43 44 38 27 15 8 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 0 0 0 0 0 0 1 3 2 2 2 3 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 3 7 7 4 2 0 0 0 0 2 7 11 13 15 15 11 9 15 25 28 15 8 7 7 7 6 6 9 14 22 21 15 8 5 2 0 0 0 0 0 0 0 0 0 0 0 10 37 66 86 92 92 91 92 98 101 102 100 95 97 108 122 137 146 148 147 147 134 123 117 113 113 119 129 137 141 142 139 137 138 141 139 131 127 128 136 150 167 179 180 175 167 153 134 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 4 4 4 4 3 5 19 27 18 5 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 3 6 7 6 4 4 6 7 5 5 6 6 4 3 4 6 6 6 6 4 2 1 2 2 2 2 4 5 5 4 5 4 4 4 4 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 2 0 1 1 1 1 1 2 2 3 3 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 2 10 20 31 35 36 37 34 36 29 17 11 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 1 2 2 1 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 0 0 2 3 2 2 2 3 4 3 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 1 8 15 16 17 18 18 15 13 27 40 38 22 9 6 6 6 7 11 17 23 28 26 22 22 20 11 3 0 0 0 0 0 0 0 0 0 0 3 31 68 93 97 90 84 82 88 94 101 106 106 108 118 127 136 140 142 146 148 141 130 121 114 113 117 124 131 136 139 139 137 137 139 139 136 132 132 138 149 161 168 169 168 170 165 155 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 2 5 7 6 5 16 25 20 6 0 0 0 0 0 0 0 0 2 3 3 2 0 0 0 0 0 0 0 0 0 0 2 4 6 8 10 13 14 10 8 10 11 9 7 8 8 9 10 10 8 5 2 1 1 0 0 3 6 6 5 5 4 4 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 4 4 3 3 2 1 1 2 2 3 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 24 23 22 26 25 30 29 20 14 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 0 0 0 1 3 7 6 3 2 3 5 6 5 4 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 1 1 1 0 0 2 4 5 4 4 3 1 1 0 0 0 0 0 0 0 0 2 2 2 2 1 1 6 11 16 18 18 18 19 20 19 29 39 45 40 24 10 5 4 5 10 20 26 28 28 26 24 22 25 21 13 8 2 0 0 0 0 0 0 0 0 0 26 64 90 93 83 74 72 78 85 93 102 109 109 114 122 129 134 138 142 142 141 135 128 122 120 121 122 126 132 139 142 139 135 132 130 134 138 141 148 154 158 158 156 156 159 158 155 151 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 4 6 4 3 11 21 21 10 1 0 0 0 0 0 0 1 1 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 2 7 12 14 14 15 16 16 13 10 10 11 11 12 12 11 7 4 3 2 1 0 3 6 7 5 4 4 4 4 4 4 5 4 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 4 4 4 4 4 4 3 3 2 3 2 3 3 3 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 2 7 13 11 8 9 17 25 29 26 22 16 10 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 1 1 3 3 3 2 1 1 5 10 12 10 5 3 5 9 11 9 6 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 0 0 0 0 0 0 0 1 3 5 7 9 7 4 4 6 10 16 9 7 5 2 2 1 0 0 0 0 0 1 4 8 9 9 10 10 14 18 20 21 21 20 18 18 21 26 30 34 35 30 19 10 5 2 3 12 23 27 27 26 25 24 22 26 26 22 17 13 10 7 6 4 1 0 0 0 1 19 51 77 83 72 60 61 66 72 80 86 96 99 103 108 118 126 133 138 139 140 137 132 129 129 129 126 125 131 139 145 144 138 132 129 129 135 143 152 157 159 158 158 157 157 153 148 146 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 2 3 1 1 7 19 25 17 6 0 1 3 5 6 7 7 2 0 6 9 10 6 2 0 1 2 2 0 0 0 0 0 0 0 2 4 7 12 16 19 19 17 14 15 16 15 15 14 10 5 3 2 3 1 0 3 6 7 6 4 4 4 4 5 8 8 6 6 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 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 1 5 10 8 1 2 11 22 27 25 22 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 3 4 4 5 6 10 14 15 12 8 5 7 11 13 12 8 6 5 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 2 5 10 22 22 17 12 11 10 8 6 2 1 2 2 2 1 0 0 0 1 2 4 10 12 14 16 16 16 20 24 24 23 22 23 22 23 27 32 33 30 23 16 12 10 8 6 9 20 29 32 32 30 30 26 27 30 28 23 17 15 18 25 26 20 13 5 2 7 18 28 43 58 65 56 48 45 50 54 62 70 78 82 86 94 105 115 126 134 139 141 139 133 128 131 133 131 128 130 136 144 146 142 138 136 134 134 140 149 158 162 166 167 166 160 153 147 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 0 0 0 0 0 0 4 19 31 28 19 14 12 14 18 23 25 19 9 3 7 12 17 14 9 4 2 3 3 1 0 0 0 0 0 0 0 1 2 6 11 16 18 17 17 18 18 19 19 16 10 4 3 3 3 3 3 4 6 7 7 6 5 4 4 7 10 10 9 8 8 6 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 5 6 6 6 6 6 6 5 5 5 5 3 2 2 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 1 6 18 24 26 22 16 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 6 7 7 10 12 12 9 5 4 5 8 9 10 10 9 9 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 11 21 23 20 17 14 6 2 1 0 0 0 0 1 1 0 0 1 2 3 2 8 11 14 16 16 16 19 21 20 19 19 23 26 28 31 33 35 31 20 10 9 9 12 17 26 36 44 47 46 44 42 38 34 42 36 26 21 22 28 32 34 33 30 24 21 28 32 33 38 45 51 50 47 40 34 35 41 48 61 70 75 82 91 103 116 129 139 144 142 133 127 129 131 132 130 129 132 139 143 142 139 139 139 138 139 146 158 167 173 177 173 160 150 145 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 12 4 1 0 0 0 0 4 16 29 31 25 21 20 23 30 37 36 26 13 6 9 19 24 21 15 8 5 4 4 2 1 0 0 0 2 4 4 3 2 3 6 11 13 14 14 16 20 26 26 20 13 9 8 7 5 5 6 7 8 7 7 7 6 5 5 6 8 10 9 8 9 7 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 6 6 6 5 5 5 5 3 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 1 7 15 20 24 21 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 3 4 4 5 5 5 5 5 6 6 4 3 2 2 3 4 4 7 9 10 9 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 2 7 16 20 19 17 14 5 0 0 0 0 0 0 0 0 0 0 2 3 3 3 5 7 11 14 15 16 17 15 10 10 17 21 23 26 30 34 34 29 20 11 8 9 16 23 30 47 53 57 59 59 56 50 48 50 46 36 31 32 36 41 42 38 34 34 33 35 35 35 37 40 44 46 46 40 31 27 29 32 44 57 62 68 76 86 97 115 132 142 144 137 131 128 129 131 130 128 130 138 142 141 140 140 141 141 141 146 157 168 179 188 179 158 141 138 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
28 20 12 6 2 0 0 0 0 5 16 20 19 17 17 20 28 33 31 21 12 5 11 23 27 26 21 14 10 8 7 6 4 2 2 2 4 8 9 9 8 7 8 9 9 9 10 14 21 31 35 28 19 18 18 15 10 8 8 10 11 8 6 5 5 5 5 5 6 8 8 8 8 7 3 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 5 5 5 4 4 5 4 3 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 16 23 20 16 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 2 1 1 2 2 3 3 4 4 4 4 4 3 2 2 2 2 1 1 1 1 1 1 2 3 6 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 13 13 13 11 6 2 3 4 3 2 1 0 0 0 1 3 3 3 2 2 2 5 8 14 18 18 11 3 2 10 20 24 28 32 32 27 20 13 9 8 11 24 34 45 55 56 57 63 68 67 64 62 61 54 43 39 43 57 70 72 58 44 38 34 34 35 33 33 36 42 49 52 45 35 28 27 30 35 45 53 56 61 69 76 92 113 133 142 142 139 134 134 138 140 138 136 138 140 140 141 143 145 144 142 146 153 164 180 195 188 167 148 141 145 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
33 27 19 13 7 3 1 0 0 1 4 8 10 11 13 16 20 23 22 17 12 12 18 25 29 28 25 20 15 12 10 9 9 8 8 8 10 12 12 13 13 13 11 10 8 7 7 10 16 27 36 38 35 32 31 22 14 10 10 12 12 9 6 4 4 5 5 4 4 6 7 8 8 8 4 1 0 1 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 2 3 3 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 16 23 21 16 15 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 1 2 2 3 3 3 3 2 2 1 0 0 0 0 0 0 1 2 4 4 4 4 4 4 4 3 3 2 2 2 1 1 2 2 2 2 1 1 1 2 3 2 1 0 0 0 0 0 0 0 0 0 1 2 3 2 3 3 3 3 3 2 1 0 1 1 1 1 0 0 0 0 0 0 0 1 3 4 4 4 5 5 4 4 3 2 0 1 1 0 0 0 0 2 2 2 2 2 2 2 4 12 19 20 14 6 1 6 18 26 34 38 34 20 16 11 6 7 16 30 48 67 75 65 56 58 61 62 66 74 82 73 57 51 62 89 111 108 89 70 57 50 49 40 30 26 30 43 63 75 67 52 39 31 31 32 39 53 56 56 60 64 72 92 116 134 142 144 144 145 150 154 154 149 144 141 141 142 144 148 146 144 145 149 157 171 185 191 184 172 160 155 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
60 45 32 22 15 10 7 4 1 0 1 3 7 11 13 15 17 18 19 16 15 16 18 24 29 30 28 26 21 18 15 13 12 13 15 15 14 14 17 16 13 12 12 11 9 7 7 7 10 16 26 37 45 45 41 29 17 12 11 13 14 14 11 8 8 8 8 6 5 5 7 9 9 8 5 4 3 4 5 6 6 6 4 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 16 22 21 17 16 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 2 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 2 4 5 5 4 4 4 4 4 4 4 3 2 2 2 2 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 6 6 7 9 10 7 6 4 4 4 3 1 0 0 0 0 0 0 1 2 3 2 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 2 4 9 17 22 18 10 4 6 16 24 30 29 21 16 16 14 9 11 20 35 56 76 82 69 54 50 46 38 42 72 103 99 85 78 81 105 129 128 120 107 95 86 73 57 41 28 27 42 67 90 93 81 66 52 39 34 47 55 60 61 63 64 68 82 102 122 137 144 145 148 153 158 162 161 151 145 144 143 144 144 142 142 144 148 151 159 173 185 192 193 185 178 167 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
86 72 57 42 28 20 16 13 10 8 7 8 10 13 16 17 18 18 18 16 15 16 17 22 27 29 29 29 27 25 23 22 21 21 22 24 24 23 23 18 10 4 7 10 11 10 8 7 7 10 16 29 42 46 42 34 26 19 13 14 15 17 17 16 16 16 14 11 8 7 9 11 11 9 6 7 6 6 6 6 7 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 21 22 18 15 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 1 4 5 5 4 4 4 4 4 4 4 5 4 4 4 4 3 2 2 2 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 2 6 10 11 10 11 13 16 19 19 15 9 6 7 6 4 2 0 0 0 0 0 0 0 1 2 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 12 21 20 13 6 6 14 18 20 18 15 17 23 25 22 23 29 43 59 68 64 51 42 42 35 15 18 72 113 113 107 102 85 86 104 113 122 126 126 126 122 105 80 58 44 45 61 81 94 94 86 77 62 51 51 54 58 66 72 73 73 81 95 112 129 139 140 140 145 149 155 156 154 149 146 143 141 140 137 136 141 148 153 158 169 179 191 202 207 201 186 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
88 87 82 71 54 40 31 26 21 20 19 18 16 16 18 20 20 20 18 15 14 14 16 21 25 28 28 30 31 31 30 29 29 29 29 29 29 29 25 17 7 1 3 10 15 16 13 10 9 8 12 20 28 34 36 35 33 28 21 17 16 17 19 19 19 21 20 17 13 12 13 14 13 11 11 12 11 9 7 6 6 6 6 4 4 4 5 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 22 22 17 14 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 1 4 5 5 4 4 4 4 5 5 4 5 5 4 4 4 3 2 1 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 7 11 12 13 16 18 24 26 25 20 13 7 6 5 2 1 0 0 0 0 0 0 0 0 1 2 3 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 15 16 8 5 5 11 14 11 7 9 17 30 33 33 38 46 56 60 51 38 26 27 31 26 7 28 93 116 117 115 103 76 60 53 64 82 96 107 119 130 137 128 110 90 74 70 73 79 84 86 84 78 71 63 53 50 61 77 84 83 86 95 106 117 126 132 133 133 136 141 146 150 151 148 143 139 136 132 130 134 142 149 159 169 179 191 204 212 208 194 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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34 36 38 39 40 40 38 37 33 28 25 25 22 18 13 9 5 4 5 8 13 18 25 34 41 46 48 47 46 42 41 44 43 41 43 48 53 55 53 52 58 66 69 69 67 66 70 73 76 80 83 84 81 78 79 83 79 71 64 60 57 53 49 44 41 39 37 36 37 40 42 44 47 50 53 50 41 31 24 20 15 12 9 7 8 10 11 10 9 8 7 4 2 1 3 3 2 2 1 0 0 0 0 0 1 2 2 2 2 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 1 5 9 11 10 11 12 12 11 8 7 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 1 1 1 0 0 2 4 5 5 5 5 5 5 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 3 1 0 0 0 0 1 1 1 2 6 17 22 11 2 0 2 18 35 40 41 51 66 78 86 82 75 71 69 65 58 55 54 53 51 50 50 50 50 46 40 36 29 22 23 22 22 22 29 37 46 51 45 34 25 26 38 54 57 46 35 37 52 63 71 76 79 81 86 94 102 107 109 102 90 77 61 51 53 64 78 92 102 107 109 103 84 55 38 42 48 62 71 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
26 26 28 30 30 30 29 29 26 25 26 30 30 27 22 19 15 11 8 7 9 13 19 24 30 37 43 46 47 42 36 37 35 32 36 44 50 49 45 41 41 45 50 54 54 55 55 56 56 58 60 61 63 67 75 87 93 83 73 64 59 52 45 42 42 42 44 46 47 48 48 47 48 54 61 62 54 41 30 23 19 15 12 10 10 13 16 15 12 12 12 9 6 2 1 2 2 2 1 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 10 11 11 11 10 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 1 3 4 5 5 5 5 5 5 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 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 1 3 5 6 5 2 0 0 0 0 0 0 0 0 2 11 16 9 2 0 5 25 43 42 37 50 64 68 66 56 46 43 41 42 44 46 49 49 46 44 42 41 40 35 30 29 21 18 18 17 16 15 16 23 37 51 54 44 31 19 17 39 52 46 35 32 41 52 61 68 71 73 77 83 90 94 96 95 89 80 69 57 50 52 60 73 87 101 110 112 106 76 46 42 46 56 67 71 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
19 18 17 14 15 15 13 14 15 17 19 23 24 23 23 23 24 20 15 12 12 13 17 19 21 26 33 38 40 36 28 24 26 23 26 38 47 47 43 38 35 35 38 40 40 39 36 35 32 30 28 28 31 39 53 72 85 81 75 64 56 47 39 35 38 43 50 55 58 59 56 52 50 56 66 69 64 53 40 30 24 19 16 14 13 15 17 17 14 13 13 12 9 5 1 1 2 1 0 0 0 0 0 0 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 10 11 11 11 10 9 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 2 2 4 5 5 5 6 6 5 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 5 5 2 0 0 0 0 0 0 0 0 0 11 15 9 2 3 15 40 62 50 36 47 56 55 48 38 36 38 37 39 41 43 44 43 40 36 34 32 30 25 22 22 20 18 16 14 11 9 10 14 24 44 56 52 38 22 15 31 48 51 43 35 35 43 54 58 62 67 72 76 82 85 85 83 78 71 65 61 56 55 58 62 69 86 102 109 110 98 74 56 48 53 61 64 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 12 10 9 8 8 7 8 8 10 11 12 13 14 15 16 18 19 18 18 19 21 21 19 17 18 22 26 30 31 28 25 25 24 23 30 42 47 45 40 34 32 33 36 36 33 30 28 25 23 20 16 16 19 28 43 58 66 65 60 55 48 39 32 33 39 50 62 68 68 63 57 54 58 65 68 66 59 50 40 30 24 20 18 18 19 19 18 15 12 11 10 10 7 1 0 0 0 0 0 0 0 0 0 0 1 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 10 10 10 11 11 10 9 8 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 1 3 5 6 6 5 4 4 4 5 5 6 6 6 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 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 1 1 0 0 0 0 0 0 0 0 0 0 3 12 16 10 5 10 29 55 69 62 54 58 59 52 44 38 41 46 48 48 47 46 45 40 30 23 22 22 23 24 24 24 22 20 16 10 3 1 4 8 15 31 50 54 44 29 22 30 47 57 51 40 34 35 44 48 52 58 64 71 75 79 80 78 71 63 57 56 57 59 62 63 64 71 84 95 104 106 99 81 64 55 56 58 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 9 7 7 6 6 5 4 5 6 7 8 8 7 7 6 8 11 14 17 21 24 25 23 20 20 20 20 23 30 34 35 34 32 28 28 36 45 48 45 40 36 35 37 39 38 36 34 31 29 25 21 18 18 21 28 36 44 49 52 53 51 44 35 30 34 45 62 72 71 66 61 58 60 62 62 60 59 56 50 42 34 26 23 23 23 24 22 18 12 8 7 9 7 1 0 0 0 0 0 0 0 0 0 0 0 2 2 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 1 2 7 10 10 10 10 10 11 10 8 7 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 2 5 5 6 7 7 6 4 4 5 5 6 6 5 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 1 1 2 0 0 0 0 0 0 0 0 0 4 14 19 15 14 22 38 53 68 69 72 78 80 68 54 48 51 56 58 57 54 51 47 38 22 14 12 15 19 23 25 27 26 22 15 6 1 0 0 6 12 23 41 51 45 33 28 35 48 54 51 42 37 34 32 36 45 51 56 63 69 73 77 79 72 61 51 47 50 55 60 63 64 66 70 76 87 100 108 102 88 71 58 54 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 8 7 7 7 6 5 5 6 7 8 9 8 7 5 3 3 5 9 13 16 19 22 24 26 27 27 25 22 26 36 41 43 42 37 31 33 42 49 51 48 44 42 42 42 42 42 42 42 40 38 35 33 30 29 30 30 32 37 41 46 48 46 40 33 31 37 53 68 71 67 63 60 60 57 54 53 55 58 58 56 48 37 29 25 25 27 28 23 14 7 6 6 4 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 0 0 2 3 8 11 10 9 10 11 12 11 9 6 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 6 7 8 7 6 5 5 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 2 0 0 0 2 4 2 2 7 15 25 30 24 23 28 37 41 44 54 64 76 88 84 72 63 62 64 65 64 61 58 53 43 28 18 14 15 20 24 27 28 26 20 9 1 0 0 1 8 13 23 38 46 42 34 31 39 48 50 45 42 39 36 34 38 46 51 54 58 64 70 78 81 75 63 51 44 42 46 53 59 63 66 66 65 72 84 99 105 104 92 74 60 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 10 10 10 9 8 8 8 9 11 12 12 12 10 6 4 3 4 6 10 13 14 16 20 25 28 28 25 20 19 24 35 43 45 42 35 33 40 50 57 57 54 49 45 43 43 42 43 45 46 47 48 44 41 40 38 36 33 32 33 35 38 41 41 38 33 32 41 59 71 71 66 60 57 54 50 50 54 61 66 67 64 54 42 32 27 28 30 25 18 12 8 4 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 9 9 10 11 12 11 9 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 6 7 7 6 6 6 6 6 6 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 7 15 17 18 25 35 40 36 30 28 28 30 33 35 37 42 51 65 75 74 71 68 67 68 68 66 64 61 55 44 34 28 26 25 26 27 26 21 13 3 0 0 0 2 10 16 25 39 46 41 31 30 40 49 46 43 41 41 39 43 50 54 55 56 59 64 71 80 81 73 62 50 40 36 38 43 49 56 62 64 64 67 74 86 96 102 101 92 81 76 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 12 12 11 11 10 10 10 12 16 16 15 15 12 8 6 4 5 8 11 13 12 12 13 15 16 16 16 15 14 15 23 34 42 42 36 32 39 50 59 62 58 50 45 43 42 41 40 40 42 44 44 42 41 42 43 44 42 37 32 28 28 32 37 38 35 31 34 48 68 77 74 64 57 53 56 57 60 65 71 75 73 66 57 45 34 30 31 27 22 20 16 6 0 2 6 8 5 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 10 9 9 10 12 13 12 10 8 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 5 5 6 6 6 6 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 7 18 26 30 34 42 42 37 30 27 26 25 25 26 29 31 32 34 43 57 64 68 72 70 70 70 69 68 68 66 60 52 46 41 36 28 24 21 13 6 1 0 0 0 4 12 19 28 45 52 44 29 29 39 46 50 49 48 48 47 50 55 56 57 59 62 64 81 82 78 71 59 47 38 35 35 37 40 47 56 59 63 70 76 80 86 93 98 100 97 91 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
20 20 16 21 23 20 19 23 27 29 30 27 28 27 20 16 15 17 16 14 12 11 10 9 8 7 9 11 12 13 13 16 24 33 36 31 27 37 50 60 63 57 48 43 41 40 37 33 31 33 36 36 34 34 36 41 45 45 41 35 28 24 24 28 32 34 32 29 37 58 77 82 74 65 64 72 74 70 70 73 77 77 74 68 58 46 35 31 26 22 23 22 13 3 2 6 9 8 4 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 10 9 9 11 12 13 13 11 8 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 2 5 6 5 4 4 5 5 6 6 7 7 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 26 28 28 28 36 32 25 19 20 19 16 17 20 24 27 28 28 32 40 52 61 67 69 69 69 69 69 70 69 65 59 52 44 34 24 20 14 7 2 0 0 0 0 3 11 20 28 47 57 48 34 33 42 54 62 62 62 61 57 56 55 56 54 58 62 66 73 77 75 70 59 46 40 39 39 39 40 45 53 58 64 73 80 85 87 85 90 100 106 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
42 43 47 46 45 42 41 44 45 46 49 54 52 50 46 40 38 38 33 26 22 19 17 14 14 14 16 18 15 14 14 15 18 23 25 22 24 37 51 61 62 55 47 43 40 34 26 20 21 25 28 28 25 26 28 32 36 38 37 33 26 21 18 19 23 28 31 30 31 46 70 85 86 77 73 79 86 83 74 72 76 78 76 73 66 55 41 31 25 21 22 23 19 8 2 4 6 7 4 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 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 2 4 4 6 10 9 9 11 13 14 14 11 8 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 2 5 6 6 5 5 5 5 6 7 8 8 7 6 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 0 0 0 3 9 14 16 18 21 23 22 21 19 16 17 14 12 14 14 12 11 13 19 24 25 26 28 31 41 49 55 59 60 60 61 61 60 59 56 52 43 33 23 19 17 9 4 1 0 0 0 0 2 9 20 28 48 58 55 44 41 49 63 72 71 71 72 65 59 56 55 53 55 59 64 69 71 71 67 57 45 41 42 43 45 48 53 58 63 69 75 84 98 98 87 86 97 107 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
58 55 56 52 45 44 42 37 38 40 43 48 51 55 58 60 60 57 49 42 39 36 32 30 34 39 36 30 23 18 18 17 17 17 16 15 24 40 55 61 60 55 49 45 37 24 16 13 15 17 18 18 18 18 17 19 21 24 26 26 23 19 16 16 18 22 27 30 33 38 57 80 91 86 76 76 84 88 82 74 73 76 74 72 68 60 45 32 24 20 20 22 20 13 3 1 2 3 3 4 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 2 6 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 10 10 10 11 13 15 15 11 8 8 7 6 5 1 0 1 2 3 2 1 0 0 1 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 1 2 2 1 0 0 0 0 1 5 6 7 7 6 6 6 7 8 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 20 21 20 18 16 16 16 14 13 12 11 12 15 14 11 10 12 19 26 26 26 27 30 35 37 40 43 43 41 39 36 36 34 31 34 28 21 16 15 16 12 5 1 0 0 0 0 0 4 18 26 46 65 74 68 63 66 72 80 83 84 86 80 67 58 54 52 53 57 61 61 63 65 61 54 45 42 42 44 47 52 61 68 71 76 80 86 101 106 101 98 102 109 110 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
41 35 25 22 20 16 14 12 13 16 17 20 26 33 40 46 50 51 49 46 46 44 41 45 54 55 43 32 26 24 23 20 18 16 14 15 27 45 59 63 60 54 49 44 33 20 14 11 12 13 14 12 10 9 7 6 6 13 21 26 27 25 21 19 19 20 23 28 37 39 46 66 88 94 84 74 78 87 91 86 76 73 71 69 67 61 49 34 25 20 19 19 19 16 9 2 0 0 0 3 6 9 12 11 6 3 0 0 0 0 0 0 0 0 0 0 4 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 5 10 10 10 12 13 14 15 13 9 8 7 6 6 4 1 2 4 5 5 4 3 2 2 3 3 3 3 2 1 1 2 2 1 0 0 0 0 0 1 1 2 1 0 0 0 0 0 3 5 6 7 7 7 6 7 8 9 7 5 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 2 10 20 20 18 15 12 11 12 14 13 12 12 13 15 16 14 11 10 13 26 31 31 30 30 32 35 37 36 34 31 27 24 20 17 16 18 17 15 12 11 13 17 17 10 1 0 0 0 0 0 2 16 28 46 70 90 100 99 93 84 82 89 95 101 99 84 68 56 53 53 54 55 55 57 58 56 52 47 45 44 46 48 51 58 67 74 81 84 88 97 108 112 110 110 111 109 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 7 5 6 6 4 4 5 5 7 10 12 14 15 16 18 24 31 35 36 36 34 36 43 53 52 39 29 26 26 25 22 20 18 15 17 31 48 59 61 57 51 47 41 32 21 14 12 12 12 10 7 4 2 1 1 5 19 31 36 38 36 32 28 24 22 23 26 35 45 48 57 80 97 94 82 79 86 94 94 86 74 68 67 65 60 52 40 26 21 18 17 17 17 14 8 1 0 0 2 8 16 22 22 19 10 2 0 0 0 0 0 0 0 1 5 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 7 10 10 10 11 12 14 15 14 10 8 6 6 6 6 4 4 5 6 5 5 4 4 4 4 4 4 3 2 1 1 2 2 2 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 3 5 6 6 5 5 7 8 7 5 3 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 0 0 0 2 10 20 23 21 16 11 8 9 10 12 13 14 14 15 15 13 11 9 11 20 33 38 38 37 36 36 37 38 36 33 28 24 20 15 9 8 9 8 7 5 4 10 21 23 15 2 0 0 0 0 0 5 17 32 47 64 84 108 123 121 107 101 100 108 116 116 106 90 75 65 59 53 50 54 60 61 58 55 53 50 49 48 48 48 52 59 69 77 80 85 90 100 110 113 111 108 104 99 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 7 9 10 10 11 11 11 11 11 12 13 14 14 14 14 15 18 22 24 23 23 24 28 33 38 37 32 28 25 23 22 21 19 17 18 28 43 52 53 51 48 46 39 29 19 15 15 16 14 9 4 1 1 3 10 23 38 44 44 44 44 41 37 32 27 25 25 34 50 56 59 73 91 96 89 84 87 93 96 90 77 66 62 62 60 54 42 29 20 18 16 14 14 13 10 6 4 5 8 18 25 30 34 28 14 3 0 0 0 0 0 0 1 6 17 10 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 2 5 5 4 7 10 11 10 11 12 12 13 14 13 8 6 6 6 7 6 6 6 6 5 5 5 5 4 4 4 4 3 2 2 2 2 3 2 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 2 3 3 2 3 4 5 4 2 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 25 23 19 13 7 4 5 7 8 9 10 12 13 13 11 8 9 17 31 40 44 44 42 40 38 36 35 31 27 23 20 17 12 8 8 7 6 4 1 2 11 24 26 18 7 1 0 0 0 1 8 22 35 45 52 64 93 120 128 125 125 125 125 128 130 126 116 102 87 72 58 52 59 72 73 71 66 61 57 55 52 50 47 48 52 62 70 73 74 77 87 99 108 109 106 101 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 16 16 16 16 16 16 15 15 15 16 15 15 15 16 15 14 14 16 20 21 19 17 17 21 32 42 44 38 32 26 22 19 17 15 14 21 34 44 45 46 46 40 30 22 18 19 21 21 15 7 1 1 4 16 33 48 51 46 41 42 44 45 42 36 30 26 26 36 51 62 65 71 82 90 90 85 88 94 97 93 78 63 56 57 57 51 41 30 22 17 14 12 11 12 13 13 14 17 20 25 30 37 42 30 11 2 1 0 0 0 1 5 9 15 26 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 5 7 10 11 10 11 11 11 13 15 15 11 7 6 6 7 7 7 7 6 6 5 4 4 4 4 4 3 3 3 2 2 2 3 2 2 0 0 0 0 1 1 2 2 1 0 0 0 1 1 0 0 0 0 0 1 2 3 2 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 24 19 13 6 1 0 1 2 3 4 6 7 9 10 10 8 13 27 39 46 46 43 40 37 33 30 26 22 18 15 12 12 10 8 8 8 6 4 0 2 12 28 28 19 11 5 1 0 0 2 10 24 35 43 47 50 73 102 122 129 130 129 129 130 132 133 131 123 109 93 80 76 80 84 87 87 84 78 68 59 55 50 48 49 53 61 67 69 68 69 76 88 99 105 105 102 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 18 19 18 17 16 14 13 13 14 15 14 17 18 19 18 17 16 16 18 20 18 16 18 25 39 54 56 48 41 31 21 16 11 8 9 18 33 42 42 41 36 26 20 19 20 23 24 21 14 6 1 4 13 36 51 58 49 38 34 35 39 42 40 34 28 23 23 30 47 62 69 71 75 80 84 84 88 96 97 92 76 60 52 52 54 52 43 32 25 18 13 11 11 13 18 24 28 30 31 32 36 38 42 34 19 8 9 8 9 11 13 16 21 24 30 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 0 0 0 0 1 4 5 5 6 10 11 10 10 10 10 12 15 16 14 10 6 6 7 7 7 7 7 6 5 4 4 4 4 4 3 3 3 3 2 2 2 2 2 0 0 0 0 0 1 2 2 2 0 0 0 1 2 1 0 0 0 0 0 1 1 1 1 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 1 5 14 21 21 17 11 5 2 0 0 0 0 0 2 4 6 8 13 17 21 29 39 46 47 43 37 32 27 22 17 14 14 11 9 7 8 8 8 8 8 7 5 0 2 15 30 28 20 15 10 4 1 0 2 10 23 34 39 44 45 57 82 109 124 125 123 122 123 126 126 126 123 118 110 104 101 101 100 100 102 101 97 87 74 64 54 46 45 51 59 67 68 65 65 68 78 88 97 102 102 99 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 16 16 15 14 12 11 11 11 12 13 14 22 23 22 22 21 20 19 18 19 19 18 26 41 55 59 52 41 33 24 16 11 5 4 12 28 41 43 38 30 24 20 20 20 23 24 23 19 12 6 3 6 19 40 49 50 40 33 32 34 36 37 36 31 23 17 16 19 36 57 69 71 70 71 75 82 89 94 86 82 75 60 53 53 54 50 42 34 28 21 15 12 12 17 28 37 43 44 42 41 39 38 39 40 38 33 35 34 29 26 25 24 24 26 29 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 0 0 0 0 0 1 3 5 5 6 10 11 10 10 10 10 11 14 16 15 13 8 6 6 7 7 7 7 6 6 5 5 5 5 4 4 3 4 4 2 1 1 2 1 0 0 0 0 0 1 2 2 1 0 0 0 1 2 2 1 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 20 19 15 10 3 0 0 0 0 0 0 0 3 6 8 13 24 30 34 40 45 46 41 34 26 19 14 10 9 8 8 7 6 6 6 6 6 7 8 8 6 3 4 16 27 28 24 20 16 10 3 0 3 8 20 32 34 40 42 46 63 86 104 111 114 116 117 120 121 121 119 115 111 110 111 115 117 115 116 117 114 109 102 90 74 55 41 42 50 60 63 63 64 65 71 79 89 98 102 100 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 11 12 13 13 12 12 12 12 12 14 17 24 25 26 27 27 25 22 20 20 20 22 30 49 55 48 36 23 16 13 11 7 6 11 28 44 48 38 29 24 22 21 20 20 21 20 18 16 11 6 4 7 16 28 32 33 32 33 40 44 45 42 38 30 22 16 13 16 28 51 64 64 61 62 70 78 86 88 81 78 74 64 59 55 48 42 39 36 32 26 22 20 20 27 39 48 52 51 48 42 38 38 42 46 51 54 54 49 44 36 32 27 22 20 23 24 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 9 11 10 10 10 10 11 13 14 14 14 11 6 6 6 7 7 7 6 6 6 4 4 4 5 4 4 4 4 3 1 1 1 0 0 0 0 0 0 1 2 2 1 0 0 0 1 2 2 2 1 0 0 0 0 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 17 18 13 7 3 0 0 1 1 2 1 2 3 6 8 12 24 34 35 34 37 38 34 28 20 13 9 7 7 7 7 7 6 5 4 4 4 4 6 7 7 6 4 6 14 25 30 27 24 21 16 5 0 3 7 16 26 31 35 39 43 50 64 77 89 96 100 105 109 113 115 112 106 102 101 101 104 111 114 115 118 120 122 119 113 101 84 62 48 45 48 52 56 60 64 68 74 82 93 100 102 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 13 15 15 15 15 14 13 14 15 18 21 22 23 26 29 30 28 26 23 21 20 20 24 34 42 43 30 19 13 10 9 9 15 28 44 50 44 30 25 22 21 19 18 17 16 14 12 11 10 9 7 8 11 14 17 21 27 37 49 56 59 49 41 32 25 20 18 19 28 44 56 53 51 59 69 73 82 90 90 84 79 72 62 51 41 36 37 37 36 36 36 36 39 45 52 56 56 53 48 36 32 36 44 51 56 57 56 55 52 43 38 30 20 14 11 11 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 1 1 1 2 2 3 3 4 5 5 8 11 10 9 9 10 11 12 13 14 15 14 8 5 6 7 7 7 7 7 6 4 2 2 4 5 6 6 4 2 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 2 2 1 0 0 0 1 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 8 2 0 0 1 4 6 6 4 5 6 8 12 19 29 32 30 28 27 24 18 12 7 5 5 5 5 6 6 5 4 3 4 3 3 2 4 6 6 4 2 3 12 24 31 30 25 22 18 8 2 3 6 11 18 24 29 34 39 43 51 59 62 70 77 82 86 91 94 95 93 90 88 90 95 100 103 106 111 116 119 119 118 116 110 100 82 64 52 47 48 52 59 66 72 78 87 96 102 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 14 13 13 12 10 10 8 11 15 16 13 12 14 17 22 25 28 28 25 22 19 17 17 20 27 33 32 25 18 14 13 18 29 40 47 46 38 28 21 20 18 16 13 12 11 9 8 8 13 18 16 11 8 6 8 15 28 41 51 56 58 51 44 37 30 27 27 29 35 44 51 51 54 64 70 70 76 89 88 80 77 72 58 46 41 43 46 46 46 48 51 52 53 56 59 60 57 55 53 36 30 37 46 53 57 56 54 53 49 42 43 30 13 6 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 1 2 2 3 3 3 3 4 4 5 7 10 10 10 10 10 11 12 13 14 15 15 12 6 6 6 7 8 7 7 6 3 1 0 2 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 2 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 3 14 15 11 6 3 3 3 3 7 9 9 7 7 8 9 13 20 23 22 21 20 17 12 10 8 6 4 4 4 4 4 3 2 1 3 4 4 4 4 5 5 4 2 0 2 8 20 28 28 23 18 13 6 2 1 4 8 10 14 21 25 31 35 44 52 58 61 63 64 65 66 67 70 74 76 78 80 85 91 95 99 106 111 114 112 111 111 113 118 115 99 81 68 60 56 58 64 72 78 85 90 98 103 104 nan nan nan nan nan nan nan nan nan nan nan nan nan
7 8 7 7 6 5 6 6 7 7 7 7 6 6 7 9 15 21 25 26 24 20 16 14 16 18 23 27 29 26 22 21 32 41 44 44 41 34 25 18 18 17 13 10 9 8 7 8 12 22 33 28 13 7 2 5 18 34 44 46 47 48 50 52 47 37 32 34 41 48 55 61 64 68 72 74 70 70 79 78 68 68 66 56 48 51 60 66 64 61 62 65 64 63 62 62 61 58 59 61 53 50 51 53 56 56 54 52 49 44 40 37 20 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 1 2 3 3 3 3 3 4 4 4 7 10 11 11 10 9 11 12 14 15 16 15 13 8 6 6 7 7 7 7 6 4 1 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 13 9 7 7 8 8 8 10 8 8 8 8 9 10 12 12 10 11 12 12 11 10 8 6 4 4 3 2 0 0 1 3 4 6 6 6 6 7 6 4 2 0 1 5 13 21 22 16 12 7 4 2 1 2 6 7 8 12 16 19 25 34 43 52 59 62 61 59 58 55 52 58 64 68 70 72 76 82 89 97 103 106 102 102 102 103 107 113 113 105 97 91 84 78 77 82 86 87 89 93 98 101 nan nan nan nan nan nan nan nan nan nan nan nan nan
5 5 5 5 5 5 5 6 8 9 9 8 8 7 6 5 8 13 19 24 26 24 21 18 17 16 17 21 27 30 29 31 44 53 52 46 38 32 24 18 17 15 11 8 7 7 10 12 20 34 40 29 14 8 4 10 27 41 42 39 37 39 47 55 57 48 40 40 49 58 67 77 82 80 76 72 68 67 70 74 72 68 64 61 62 68 76 80 80 79 78 79 78 73 69 64 62 63 68 73 72 72 67 63 61 58 52 46 40 40 41 30 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 4 5 7 10 12 11 10 10 11 13 14 16 18 16 15 13 8 6 7 7 7 7 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 1 1 0 0 1 2 2 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 2 12 20 19 13 9 8 8 8 7 8 7 8 9 9 9 8 8 7 7 7 8 9 9 9 7 5 4 3 2 0 0 0 0 2 5 7 8 8 8 8 7 4 1 0 0 4 8 10 12 9 7 5 4 4 3 3 4 5 6 7 9 12 16 23 32 42 53 61 62 61 60 58 56 54 56 59 60 63 65 68 74 83 89 89 89 92 94 93 92 97 101 103 104 105 105 103 100 101 102 102 97 93 92 93 nan nan nan nan nan nan nan nan nan nan nan nan nan
6 6 6 6 6 6 7 9 10 11 10 10 11 11 10 8 6 7 11 17 24 27 26 24 22 20 18 18 23 27 28 31 41 48 50 52 43 39 29 19 14 11 8 7 9 11 15 16 23 38 37 24 15 13 14 22 34 38 34 31 28 29 35 48 59 57 50 48 52 59 72 86 90 81 72 66 63 62 61 59 56 58 63 69 74 79 83 87 90 93 95 95 92 82 71 65 67 74 82 86 88 85 76 69 64 58 49 41 34 35 32 20 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 4 6 8 10 12 12 12 11 12 13 15 19 21 17 15 14 11 9 9 7 6 6 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 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 1 10 22 25 17 11 8 7 5 5 6 7 8 9 9 8 8 7 6 6 6 7 8 8 8 7 5 4 2 1 0 0 0 0 1 4 7 8 8 9 8 6 3 0 0 0 3 6 7 6 6 5 5 5 5 4 3 2 3 4 5 6 8 10 15 22 31 43 55 61 64 64 64 62 59 58 57 54 52 60 62 66 72 76 76 77 81 87 88 83 85 89 93 98 102 103 103 104 106 110 115 116 106 100 94 nan nan nan nan nan nan nan nan nan nan nan nan nan
9 8 8 9 9 9 10 12 13 13 13 13 14 15 15 12 8 7 6 9 17 24 28 28 27 25 22 19 19 21 22 22 26 32 38 46 48 49 35 16 10 8 9 10 12 15 17 17 21 32 29 19 17 21 24 27 26 22 21 22 22 22 26 40 55 59 54 50 53 60 71 84 88 75 65 60 59 58 54 47 43 51 62 68 73 79 85 89 92 96 101 102 97 85 72 70 73 80 81 82 82 78 70 64 58 50 44 36 30 28 26 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 4 5 7 10 12 13 13 13 13 12 12 15 20 22 19 15 14 15 14 13 11 8 7 7 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 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 0 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 25 20 12 8 6 4 4 6 8 11 12 9 8 7 6 6 6 6 7 7 8 8 7 6 3 1 0 0 0 0 0 2 4 6 7 8 8 8 6 2 0 0 0 1 4 6 6 6 6 6 6 5 4 4 1 2 3 4 5 6 7 9 12 18 30 43 54 62 65 66 65 62 61 60 58 55 56 58 63 68 71 72 70 73 80 83 82 83 85 90 95 99 99 97 96 96 99 105 112 115 112 106 104 nan nan nan nan nan nan nan nan nan nan nan nan
11 11 11 12 12 12 12 14 14 15 16 16 17 17 17 15 12 10 8 6 6 12 21 27 29 28 26 22 19 18 18 15 13 15 20 31 43 46 31 12 8 10 12 16 17 18 18 18 20 24 23 18 19 23 24 20 14 11 11 13 16 21 29 41 52 55 52 49 50 56 66 76 84 75 60 57 59 60 58 52 49 50 55 60 66 72 79 84 86 89 94 98 96 90 86 82 73 67 63 64 63 60 56 50 44 39 37 29 24 23 22 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 5 5 6 8 11 13 13 13 13 12 12 12 14 19 22 20 16 13 14 15 15 14 11 8 6 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 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 1 5 13 20 20 13 8 5 4 5 8 12 17 17 11 7 7 7 7 7 7 7 7 8 8 8 6 4 1 0 0 0 0 0 2 4 5 6 7 7 7 6 4 2 1 2 3 5 6 7 7 7 7 6 6 5 4 3 2 3 3 4 5 6 6 3 9 14 26 40 50 58 61 59 56 57 58 59 60 58 57 58 62 67 72 71 71 74 75 74 76 79 86 92 96 95 91 89 88 89 91 97 104 111 114 114 nan nan nan nan nan nan nan nan nan nan nan nan
12 13 14 15 15 15 15 15 16 17 17 18 17 16 16 15 13 12 11 9 7 7 10 17 25 28 28 26 23 20 19 16 11 9 11 21 33 36 25 13 12 15 18 22 23 22 21 19 19 22 23 21 18 19 17 14 10 8 7 8 15 27 41 49 51 50 47 46 47 51 58 67 75 78 76 69 65 61 60 59 55 52 52 56 59 61 66 69 72 77 84 91 96 94 82 69 62 51 52 55 52 46 40 35 30 30 31 23 17 16 18 14 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 2 3 4 4 5 5 6 6 8 10 11 12 12 12 13 12 11 12 13 17 20 20 17 14 15 14 13 13 12 8 6 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 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 0 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 16 24 22 12 6 6 10 16 21 22 18 10 8 8 8 8 8 8 7 7 7 7 7 5 4 1 0 0 0 0 0 2 3 4 5 5 6 6 6 5 4 4 4 4 6 7 8 8 8 7 6 6 5 4 3 3 2 2 3 4 4 4 2 4 9 16 24 33 41 43 43 42 43 46 50 55 58 58 55 54 59 65 71 72 72 71 67 66 69 76 84 88 87 83 81 81 82 83 86 91 98 106 112 nan nan nan nan nan nan nan nan nan nan nan nan
13 13 14 15 16 17 16 16 16 17 18 17 16 14 14 14 14 13 13 12 11 9 7 5 5 15 22 26 27 25 23 21 17 15 16 19 27 32 28 21 19 21 23 25 26 24 23 21 19 21 23 23 20 18 15 12 9 8 8 11 22 38 52 54 48 45 44 45 47 48 49 56 65 69 67 60 52 46 51 57 56 54 53 53 52 53 56 58 61 68 78 91 97 90 72 54 49 48 51 52 44 36 30 24 21 24 24 16 12 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 7 8 9 10 11 11 11 12 13 13 12 12 12 14 17 18 17 15 15 15 13 12 13 9 6 6 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 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 3 5 6 7 13 26 29 19 12 14 21 29 31 25 16 9 8 8 8 8 7 7 6 6 4 5 4 3 3 1 0 0 0 0 0 0 1 2 2 2 3 4 5 5 5 4 4 4 5 6 7 8 8 7 6 5 5 4 2 1 1 1 1 2 2 2 2 3 7 13 17 20 24 27 27 28 29 30 34 41 48 53 52 50 48 47 57 64 67 68 66 63 63 67 74 78 76 73 71 71 72 73 76 81 87 93 100 nan nan nan nan nan nan nan nan nan nan nan nan
13 13 14 14 15 15 15 15 15 15 15 16 15 14 14 13 13 13 13 13 13 12 11 8 6 7 11 18 23 27 26 24 22 21 21 21 24 33 34 30 26 24 25 27 27 25 24 22 20 20 23 25 24 20 16 12 9 10 14 20 31 48 58 53 41 35 35 39 45 49 49 52 60 62 57 50 43 43 52 59 56 53 52 52 52 54 58 59 61 67 80 98 94 73 51 40 43 49 51 50 41 30 25 19 13 11 11 7 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 0 0 0 0 0 0 0 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 6 7 9 10 11 11 11 11 12 12 13 12 11 12 13 14 15 15 14 14 15 14 12 13 10 6 6 6 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 11 9 7 14 28 33 26 20 22 31 38 34 23 12 9 8 8 7 7 6 6 5 3 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 2 1 2 3 3 4 5 6 6 5 5 3 2 1 0 0 0 0 0 0 0 2 4 6 14 18 18 18 18 19 20 21 21 22 30 37 44 46 44 41 38 39 44 51 56 58 60 58 60 63 66 66 64 63 63 62 61 63 68 76 82 89 90 nan nan nan nan nan nan nan nan nan nan nan
13 13 14 14 14 15 15 16 15 15 14 14 14 14 14 13 13 13 13 13 14 14 13 12 10 8 6 7 10 17 21 22 22 22 23 23 23 30 36 37 31 27 26 27 28 26 25 24 21 19 20 25 27 24 18 14 13 16 21 26 33 48 58 50 34 25 24 29 35 44 52 56 61 59 51 45 45 50 56 58 54 53 52 55 58 60 63 66 69 76 92 105 86 52 37 38 44 49 51 47 39 29 17 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 5 5 6 8 10 11 11 11 11 11 12 12 12 12 10 10 12 13 13 14 14 14 14 14 14 13 10 6 6 6 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 16 13 10 18 31 36 32 27 30 36 37 28 16 9 8 8 8 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 1 2 2 3 3 2 0 0 0 0 0 0 0 0 0 0 1 4 6 11 16 18 18 18 18 17 16 16 16 22 28 33 36 36 34 31 29 30 33 36 40 38 45 49 51 54 55 56 57 57 55 52 51 55 61 69 77 81 nan nan nan nan nan nan nan nan nan nan nan
14 14 14 14 14 15 15 15 15 14 14 13 13 13 13 13 13 14 14 14 14 14 15 14 13 12 9 7 6 7 11 15 18 20 23 25 25 27 32 36 36 30 27 27 28 26 25 24 22 20 19 24 28 26 21 17 17 19 21 24 29 44 58 49 31 19 16 18 23 32 46 58 63 60 52 43 41 44 47 49 52 53 52 57 64 63 67 74 82 93 106 101 69 40 40 42 47 51 51 43 29 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 5 5 5 5 5 6 8 10 11 10 10 10 10 11 11 11 11 9 9 11 13 13 13 13 13 14 14 14 12 8 6 6 6 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 18 21 24 30 36 38 36 36 37 36 30 19 10 7 7 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 13 16 18 18 18 16 14 13 14 16 18 21 23 24 24 23 21 21 22 22 25 28 31 35 39 41 42 46 49 49 48 46 45 46 49 54 61 70 nan nan nan nan nan nan nan nan nan nan nan
15 14 14 14 14 14 14 14 14 14 13 13 13 13 13 14 14 14 14 14 14 15 15 14 14 14 13 10 7 4 4 6 10 13 18 23 25 26 28 33 37 35 29 27 27 26 24 24 23 21 20 22 28 29 24 19 18 18 19 22 32 47 57 46 27 16 13 13 16 23 34 46 51 49 42 36 34 33 36 42 49 53 53 54 62 62 70 84 94 104 107 90 57 36 39 45 50 54 48 29 13 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 1 2 4 6 6 5 5 6 6 8 9 9 8 8 9 9 10 10 11 11 8 7 9 11 12 12 11 12 14 14 14 11 7 6 6 6 7 7 6 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 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 8 19 30 40 44 42 39 39 40 40 34 23 12 7 7 7 8 7 5 2 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 2 4 6 10 13 15 15 14 13 11 10 11 12 12 13 12 12 12 10 11 12 13 14 16 19 23 27 30 32 35 37 39 41 41 40 39 39 39 40 45 53 nan nan nan nan nan nan nan nan nan nan nan
17 16 16 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 16 16 15 13 11 7 4 3 4 6 11 18 23 26 26 29 34 35 31 27 26 25 23 23 24 22 20 22 27 30 26 20 17 15 18 30 45 55 50 34 19 14 15 13 14 18 24 32 36 36 34 33 31 29 30 38 47 52 51 51 59 67 80 91 99 102 94 74 52 42 47 52 54 54 35 10 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 2 3 7 7 6 6 6 6 6 7 6 6 6 7 8 10 10 11 10 8 6 6 8 9 9 9 11 14 14 15 10 6 5 6 6 6 6 6 5 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 21 33 42 46 44 40 40 42 39 30 18 10 7 7 8 8 7 3 1 0 0 0 0 0 0 0 0 2 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 1 3 5 6 8 9 10 8 8 5 5 6 7 8 7 6 4 4 3 3 3 4 5 6 8 14 18 20 23 27 32 34 36 37 37 35 31 29 29 32 37 nan nan nan nan nan nan nan nan nan nan nan
17 17 17 17 15 13 13 14 15 15 15 15 16 16 15 15 14 14 14 14 14 14 14 14 15 15 15 15 14 11 7 4 3 4 6 12 19 24 26 28 31 33 31 28 25 24 23 23 24 22 20 21 25 28 25 19 15 14 21 43 58 55 37 22 15 16 18 20 17 16 18 22 27 28 29 31 32 30 30 38 49 54 53 55 67 84 91 95 99 92 76 59 51 53 58 57 50 39 21 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 7 6 5 4 6 6 6 6 6 6 6 8 10 10 9 7 5 5 6 7 7 8 10 13 14 15 10 6 6 6 6 6 6 6 5 4 2 2 2 2 1 0 0 0 0 0 0 0 1 1 2 1 1 2 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 21 30 37 42 43 41 41 39 34 23 14 9 8 8 9 9 6 1 0 0 0 0 0 0 0 0 0 2 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 2 3 4 4 5 5 4 2 1 0 1 1 2 2 2 1 0 0 0 0 0 0 0 1 0 3 6 9 11 15 20 24 28 32 35 35 31 26 23 21 22 27 nan nan nan nan nan nan nan nan nan nan
16 16 17 17 16 15 14 15 16 17 17 17 17 17 16 15 14 14 14 14 14 14 14 14 14 14 15 16 15 14 12 8 6 4 4 6 12 19 25 28 30 31 32 29 26 24 23 22 23 22 20 20 22 24 22 19 16 16 26 52 61 46 27 18 17 19 22 25 22 15 13 18 24 27 30 31 32 32 33 42 53 61 62 66 81 95 97 96 93 80 63 56 59 65 62 53 40 23 12 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 1 2 6 2 2 5 6 6 6 6 6 6 6 8 7 7 6 5 4 5 5 6 6 9 12 14 14 9 6 6 6 6 6 6 6 5 4 2 1 1 1 0 0 0 0 0 0 1 2 2 3 3 3 2 2 3 5 5 5 5 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 3 10 19 25 28 33 38 37 34 31 24 17 12 10 10 9 8 7 3 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 2 2 2 2 2 3 4 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 8 13 20 25 28 27 24 21 19 17 20 nan nan nan nan nan nan nan nan nan nan
17 16 16 16 16 15 15 15 16 18 18 18 18 18 17 15 14 14 14 14 14 14 14 14 14 14 14 15 15 15 14 12 9 7 6 6 8 12 18 25 28 30 32 31 28 25 23 22 21 20 19 17 18 20 21 20 18 19 31 53 57 38 21 18 20 22 23 22 19 14 12 17 24 29 31 31 31 32 36 48 61 72 74 79 90 97 97 93 85 71 62 63 71 70 60 49 28 10 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 2 2 4 4 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 6 8 11 13 12 8 6 6 6 6 6 6 6 5 5 4 1 0 0 0 0 0 0 0 1 2 3 4 5 5 3 2 2 3 4 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 17 19 20 21 23 26 23 18 14 12 11 10 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 4 5 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 2 6 11 16 18 18 19 19 18 17 nan nan nan nan nan nan nan nan nan nan
21 19 16 16 16 16 15 15 15 16 17 17 18 18 16 15 14 14 14 14 14 14 14 15 15 15 14 14 15 15 14 13 12 10 8 8 8 8 10 17 23 28 30 32 31 28 24 21 19 19 18 15 16 19 22 23 20 21 33 50 53 35 18 17 22 24 24 21 16 12 12 18 25 30 31 30 29 30 39 54 69 78 81 84 89 93 92 86 76 69 69 74 78 71 58 43 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 17 13 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 1 1 0 1 1 1 2 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 7 9 11 10 7 6 6 5 6 6 6 6 6 6 5 3 1 0 0 0 0 0 0 1 3 4 5 5 4 3 2 2 3 4 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 15 14 15 14 13 11 10 9 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 10 11 16 18 17 nan nan nan nan nan nan nan nan nan nan
21 19 17 16 17 17 15 14 14 14 15 15 16 16 15 14 14 14 14 14 14 14 14 15 16 15 14 14 14 14 14 14 13 12 10 9 8 8 8 8 14 21 27 31 32 31 27 23 20 20 18 16 17 20 24 26 22 20 32 48 51 39 24 21 23 22 22 24 24 22 19 22 26 29 29 27 25 27 38 57 71 77 79 80 84 87 84 76 70 72 78 83 81 71 55 23 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 13 11 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 7 6 6 5 5 5 6 6 6 6 6 6 5 3 2 0 0 0 0 0 1 3 4 4 4 4 3 2 2 2 4 4 5 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 15 16 15 14 13 12 12 11 9 8 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 1 3 4 5 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 1 5 6 11 15 17 18 nan nan nan nan nan nan nan nan nan
15 14 15 16 17 16 14 14 14 14 14 14 14 13 13 13 13 13 13 14 14 14 14 15 15 16 15 14 14 14 14 14 14 13 11 10 9 8 8 8 9 13 20 27 31 32 30 26 23 22 20 18 18 21 25 27 25 21 30 45 51 45 36 31 28 23 23 33 38 35 31 29 29 28 26 23 22 25 40 58 69 72 72 74 78 79 74 68 70 77 85 87 82 67 37 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 5 5 5 5 5 6 6 6 6 6 5 4 1 0 0 0 0 0 2 3 4 4 4 3 2 2 3 3 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 14 15 15 14 14 13 11 9 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 1 4 5 5 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 1 2 5 7 9 11 13 16 nan nan nan nan nan nan nan nan nan
14 13 13 14 14 14 14 14 14 14 13 13 12 12 12 12 12 13 13 13 13 13 14 14 15 16 16 15 15 14 14 14 14 14 13 11 10 9 9 8 8 8 12 20 27 32 33 30 26 23 20 18 18 20 24 27 27 24 26 38 45 46 44 43 40 34 30 34 41 42 40 35 29 24 21 20 24 33 48 61 70 73 72 71 73 74 70 67 72 78 85 85 77 54 23 2 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 2 2 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 5 4 4 5 6 6 6 6 6 5 2 1 0 0 0 0 1 2 4 4 4 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 6 13 15 14 13 14 13 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 10 11 10 14 nan nan nan nan nan nan nan nan nan
14 13 13 13 14 14 14 14 14 14 13 13 12 12 11 12 12 12 13 13 13 13 13 14 14 15 16 16 15 14 14 14 14 14 14 12 11 10 10 9 8 7 7 11 20 29 34 34 29 24 18 14 14 17 22 26 28 27 26 28 33 37 42 48 50 45 39 36 39 42 40 33 25 20 20 28 40 51 59 66 74 76 72 68 67 67 66 64 65 70 79 80 69 44 18 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 1 2 2 3 4 4 3 3 4 5 5 5 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 3 4 5 6 6 6 6 6 4 2 0 0 0 0 0 0 2 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 13 13 12 12 11 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 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 2 5 7 10 11 12 13 nan nan nan nan nan nan nan nan nan
14 13 13 13 13 14 14 14 14 14 14 13 13 12 12 12 12 13 13 13 13 13 13 13 14 15 16 16 15 15 14 14 14 14 14 14 12 11 10 10 9 8 6 6 12 21 30 34 32 24 16 10 8 13 19 24 28 29 27 24 22 23 29 40 50 53 50 44 38 36 32 27 22 23 30 45 59 65 67 71 77 75 67 61 60 60 59 59 64 72 79 79 65 39 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 1 1 2 3 4 5 4 4 4 4 4 4 5 6 6 5 5 4 4 4 5 5 4 4 3 3 4 6 6 6 6 4 2 1 0 0 0 0 0 1 3 4 4 4 4 4 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 12 11 8 6 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 6 8 10 11 12 nan nan nan nan nan nan nan nan
14 13 13 13 13 14 14 14 14 14 14 13 13 13 12 13 13 13 14 13 13 13 13 13 14 14 15 15 15 15 14 14 14 13 13 14 13 12 11 10 9 8 6 5 6 12 23 32 34 28 17 8 6 9 16 22 28 31 29 25 21 20 20 26 40 52 57 54 45 37 32 30 30 38 48 58 65 68 71 74 71 61 54 50 52 56 59 64 70 77 80 78 62 36 19 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 2 2 2 1 0 1 2 3 4 4 4 4 4 3 3 4 5 6 5 5 5 4 4 4 4 4 4 4 3 1 2 4 6 6 5 5 3 1 0 0 0 0 0 1 2 4 4 4 5 5 5 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 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 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 7 nan nan nan nan nan nan nan nan
14 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 12 11 10 10 8 7 5 5 7 15 26 34 32 21 11 6 7 12 19 25 30 30 26 22 18 17 19 26 42 55 61 58 51 46 44 45 48 52 55 59 62 66 64 55 44 38 37 43 49 55 61 68 75 80 78 63 38 23 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 3 3 4 5 5 5 5 5 4 4 4 4 4 4 3 2 1 2 4 5 5 5 5 3 1 0 0 0 0 0 0 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 nan nan nan nan nan nan nan nan
13 13 13 13 13 14 14 14 14 13 13 13 13 14 13 14 14 14 14 15 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 12 12 11 10 10 9 7 6 5 5 9 18 29 35 28 16 8 6 9 15 22 26 28 26 22 18 16 17 19 29 45 59 66 64 60 56 54 52 50 49 50 53 54 52 45 36 30 32 40 48 52 55 61 70 79 77 62 42 26 11 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 1 2 3 3 4 4 4 4 4 4 3 4 5 5 5 6 5 4 4 4 4 4 4 2 1 1 2 4 4 5 5 5 3 1 0 0 0 0 0 0 0 0 1 2 3 4 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan
13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 15 16 16 16 15 15 14 14 13 13 13 13 13 13 13 13 13 12 11 10 10 10 9 9 6 5 5 6 11 21 32 34 24 13 7 7 12 18 23 25 24 21 17 16 17 18 21 30 45 58 64 61 56 52 48 44 43 43 44 45 44 38 31 30 36 45 50 50 50 57 71 82 74 58 43 30 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 2 1 2 2 2 2 2 3 4 4 3 2 2 1 0 0 0 0 0 0 0 0 1 2 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 nan nan nan nan nan nan nan
13 13 13 13 12 13 13 13 12 13 13 13 13 14 14 14 14 14 14 15 16 17 17 17 16 14 14 13 13 13 13 13 13 13 13 13 11 9 8 8 9 10 10 8 6 5 5 7 13 25 34 32 20 10 6 8 15 21 24 23 20 17 16 17 20 19 20 29 42 51 51 45 40 35 32 30 31 33 35 34 32 32 36 45 52 54 52 54 65 82 83 65 45 34 24 10 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 1 2 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 3 1 1 2 1 0 0 0 1 1 2 2 2 3 3 1 0 0 0 0 0 0 0 0 2 4 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 7 7 nan nan nan nan nan nan nan
14 14 13 13 13 13 13 13 12 12 12 13 13 13 13 14 14 14 14 14 16 17 17 17 16 15 14 13 13 13 13 13 14 14 14 14 12 9 8 8 9 9 10 9 8 6 5 5 8 17 29 35 28 15 7 6 10 17 23 23 20 17 17 18 21 21 19 19 25 34 36 32 26 23 20 19 20 24 26 27 30 35 42 49 55 58 61 69 79 85 74 53 26 12 7 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 0 0 1 1 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 1 1 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 9 10 nan nan nan nan nan nan nan
14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 14 14 14 14 15 16 16 16 16 15 14 14 14 14 14 14 15 15 15 15 13 10 10 10 10 9 10 10 9 7 6 5 6 10 22 33 33 22 9 5 6 12 21 25 23 19 18 20 24 26 24 21 22 26 28 26 22 18 15 14 14 16 18 21 27 34 41 45 52 62 74 84 87 82 66 44 13 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 0 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 4 4 4 4 4 4 4 4 4 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 4 4 4 4 4 4 3 2 2 1 0 1 2 2 3 3 2 2 1 1 0 0 0 0 0 0 0 0 1 4 8 5 1 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 11 11 nan nan nan nan nan nan nan
14 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 16 16 15 15 15 14 15 15 15 17 18 18 16 14 13 12 11 10 9 9 10 9 8 7 6 5 6 14 28 35 29 15 6 5 6 16 25 26 23 21 23 29 33 32 28 27 28 28 27 24 18 14 14 13 14 14 17 22 29 36 42 52 64 76 82 86 83 64 37 13 5 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 1 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 3 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 4 4 5 5 4 4 4 3 3 4 4 5 6 6 5 5 5 4 1 1 0 0 0 0 0 0 0 1 4 4 1 0 0 0 0 0 0 0 0 0 0 2 5 8 10 11 12 12 12 nan nan nan nan nan nan
15 15 15 15 16 16 16 16 15 15 15 15 15 15 15 16 16 16 17 17 16 16 16 16 16 16 15 15 15 16 15 16 18 20 19 16 15 14 13 11 10 9 9 9 9 8 8 6 5 5 7 20 33 34 23 9 4 4 9 21 28 27 25 26 31 36 38 38 37 34 31 29 27 23 19 17 17 17 17 18 22 29 36 43 52 61 67 71 77 73 52 28 15 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 0 0 0 0 1 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 2 1 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 4 3 3 3 3 4 4 4 5 5 5 4 4 4 4 5 6 6 7 7 7 6 6 5 4 3 2 2 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 10 11 11 10 nan nan nan nan nan nan
14 14 14 15 15 15 15 15 15 15 15 16 16 16 16 16 17 18 18 18 17 17 17 17 17 16 16 16 16 16 16 16 17 18 18 16 14 13 11 10 9 8 9 9 9 9 8 7 6 5 6 13 27 36 32 18 7 4 5 13 23 29 29 28 30 34 38 41 41 38 33 29 26 22 17 16 18 22 23 24 27 31 36 42 50 57 62 65 61 53 34 19 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 2 3 3 3 4 4 4 3 3 3 3 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 3 2 1 0 0 0 0 0 0 0 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 4 2 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 3 3 2 1 4 5 6 7 7 6 5 5 5 5 5 6 7 8 9 8 8 7 6 5 5 4 3 2 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 9 9 10 nan nan nan nan nan nan
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12 12 13 13 13 13 13 14 14 14 14 14 15 15 16 16 16 16 17 18 18 18 18 18 18 18 16 16 16 15 15 14 14 14 13 12 11 10 10 9 9 9 10 10 10 10 9 8 7 7 6 6 11 22 31 35 30 16 8 6 11 20 27 28 25 24 25 24 22 20 21 23 25 25 20 13 9 10 16 25 32 33 34 36 44 55 66 66 51 35 25 8 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 4 4 3 3 3 3 4 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 2 2 2 2 2 3 2 2 2 3 4 4 4 4 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 0 0 0 0 2 5 7 8 8 8 8 8 7 6 6 5 4 4 4 4 3 3 2 2 3 4 4 4 5 6 7 10 15 19 23 24 24 22 20 17 12 9 8 8 9 10 13 18 20 19 16 12 10 9 8 7 6 5 5 5 5 4 4 3 4 5 6 6 6 5 5 4 3 3 4 3 3 3 3 4 4 4 5 6 6 6 nan nan nan nan nan
12 12 13 13 13 13 13 13 13 14 14 14 14 15 16 16 16 17 17 18 18 18 18 18 18 18 17 16 16 15 15 14 14 12 12 11 10 10 10 9 8 10 10 10 11 11 10 8 8 8 8 6 7 14 24 30 32 27 16 8 8 13 19 22 22 24 25 21 17 16 16 18 21 23 20 13 7 4 7 14 23 31 36 41 49 60 65 57 42 30 24 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 1 1 2 3 4 4 4 4 4 4 4 4 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 2 3 2 2 2 2 2 2 3 3 4 4 4 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 7 7 7 7 7 7 8 8 7 6 5 4 4 4 4 4 4 6 8 13 19 25 30 32 33 32 30 28 25 22 18 14 12 11 11 11 11 17 20 21 21 20 17 14 13 12 10 9 8 10 10 9 12 11 11 13 14 13 11 9 8 8 7 8 8 9 9 9 8 7 6 5 5 5 6 6 nan nan nan nan nan
13 13 13 13 13 13 13 13 13 13 14 14 14 14 15 15 16 16 17 17 18 18 19 19 18 18 17 17 16 16 15 14 14 12 12 11 10 10 10 9 9 10 11 11 11 12 11 9 8 8 9 8 6 9 17 25 30 31 25 15 10 10 15 18 20 25 31 31 26 22 19 16 16 17 17 14 8 4 3 6 14 27 41 52 61 66 65 60 52 37 21 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 6 7 8 7 6 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 2 2 1 1 0 1 2 2 2 3 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 7 7 8 8 6 7 7 7 7 8 8 9 12 14 12 10 7 6 6 6 7 9 12 15 20 26 32 38 40 38 35 33 30 29 27 26 24 22 19 15 14 14 13 14 16 18 20 22 20 22 20 19 17 17 19 23 24 29 34 36 34 34 34 32 28 21 15 11 10 12 15 18 18 17 15 12 10 8 6 6 6 7 nan nan nan nan nan
13 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 15 16 16 17 17 18 18 18 18 17 17 17 16 15 14 14 13 13 12 11 10 10 9 9 10 12 12 11 11 12 11 9 7 8 8 7 6 11 20 27 31 30 24 16 13 14 16 19 24 31 38 39 35 28 19 14 14 15 15 12 10 6 6 10 22 39 57 69 72 69 56 41 24 10 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 1 2 3 4 5 8 9 10 9 7 5 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 0 0 0 1 2 2 2 4 5 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 1 4 7 9 10 10 12 14 14 13 12 12 8 7 7 7 8 8 9 11 16 18 18 16 13 12 12 15 18 24 32 36 39 42 43 44 42 36 32 30 29 29 30 31 30 28 26 22 20 19 17 16 15 15 15 15 14 15 18 18 18 24 34 35 38 47 56 63 66 63 57 51 46 40 31 24 22 25 31 36 36 31 26 23 20 14 9 8 9 11 nan nan nan nan nan
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