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