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