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 5 7 7 7 5 6 5 5 5 5 5 4 3 2 2 2 3 3 4 6 7 8 7 6 6 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 2 1 2 2 2 3 3 2 2 3 3 3 3 2 2 2 2 3 3 3 3 3 2 2 3 3 3 3 4 3 3 4 3 3 3 3 2 2 2 2 3 2 3 4 3 4 4 4 4 3 4 4 4 5 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 7 5 5 5 5 5 5 5 8 10 11 10 9 7 6 6 7 6 6 6 6 5 5 4 2 -2 -2 2 5 5 7 10 12 -3 -6 1 3 5 6 3 9 12 8 4 4 3 5 7 7 3 6 9 4 0 7 7 -1 1 8 12 7 0 1 9 13 6 -3 -3 2 3 5 4 1 3 1 -4 -5 -4 -2 2 8 13 6 -1 0 4 4 2 -1 -0 4 7 6 6 17 36 35 17 9 6 3 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 6 8 10 12 14 14 13 11 10 10 10 9 8 6 4 4 4 4 4 3 2 2 4 7 7 5 6 6 6 5 5 5 4 4 4 5 7 8 6 5 5 5 5 5 5 6 8 5 1 2 3 3 4 4 3 3 3 4 4 4 4 3 3 3 4 3 3 3 4 4 3 3 2 3 4 4 4 4 4 5 6 7 8 8 7 5 4 3 4 4 5 5 5 4 4 3 3 3 4 3 3 3 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 7 16 24 18 10 9 12 10 4 2 -3 -5 -11 -4 1 -0 3 5 3 2 2 2 -1 -7 -10 -7 -4 -6 -5 -1 4 7 8 8 8 9 12 16 18 19 17 16 15 12 9 6 7 9 9 7 6 4 2 5 13 16 13 10 9 7 6 7 8 9 8 7 6 6 7 7 7 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 5 6 6 6 7 6 5 5 5 6 5 5 4 3 3 3 3 3 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 2 1 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 7 7 8 7 6 5 5 5 5 5 5 7 10 11 11 9 8 6 6 6 6 6 6 6 5 5 4 1 -3 -2 4 8 7 10 19 15 -1 -0 2 6 10 8 3 5 5 6 7 7 3 6 15 12 7 7 6 2 2 9 8 3 1 7 12 9 3 -1 1 9 10 3 -1 2 10 11 7 4 7 5 0 0 -1 -4 1 10 13 5 -1 0 2 3 5 6 8 9 10 11 17 30 37 24 10 6 4 2 1 2 2 2 2 3 2 2 3 3 3 3 3 4 4 4 4 5 6 8 10 11 11 12 11 11 10 10 10 10 9 7 5 4 3 3 3 2 1 1 2 5 7 6 6 5 4 5 5 4 3 3 3 5 7 6 5 5 5 5 5 6 6 6 5 -0 -2 2 4 3 3 4 3 3 3 3 4 4 5 4 3 4 4 3 3 4 4 4 3 2 2 3 4 5 5 4 4 5 6 8 9 9 8 6 4 4 4 4 4 5 5 4 3 3 4 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 5 6 6 5 5 4 4 4 4 4 8 16 22 20 16 14 12 11 11 6 -1 1 1 2 2 6 5 4 5 7 5 2 2 1 -1 -0 -2 -3 -2 2 5 6 7 7 6 7 9 11 14 14 11 11 9 7 6 7 9 12 12 10 7 5 7 12 11 9 7 6 6 5 6 7 7 7 6 6 6 6 7 6 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 4 5 5 6 7 7 6 6 5 6 6 6 5 5 4 3 3 3 4 4 5 5 6 6 5 5 5 5 5 5 4 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 3 3 2 2 2 2 3 3 3 3 3 3 2 2 3 3 3 3 3 2 2 2 2 3 3 3 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 5 4 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 5 6 6 5 5 4 4 4 4 4 5 6 6 7 7 8 7 6 6 6 5 5 4 6 10 12 11 10 8 6 6 6 7 7 6 6 6 5 2 -1 -4 2 10 7 5 9 20 13 2 1 1 7 12 10 5 4 2 2 7 9 4 7 15 13 7 7 6 1 4 9 8 6 4 6 8 7 8 9 7 5 6 7 6 7 12 9 5 7 12 12 6 3 -1 -5 2 10 9 6 3 2 2 5 7 9 9 8 10 19 33 37 27 12 6 4 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 5 4 4 4 5 6 7 8 9 10 9 9 10 10 11 11 11 10 9 7 5 3 2 2 2 2 2 2 1 -0 4 7 5 5 5 5 5 4 5 4 5 6 5 5 5 5 5 5 6 6 5 5 -3 -7 -0 3 2 1 3 4 3 3 4 4 5 6 5 5 4 4 4 4 4 4 4 3 2 2 3 4 5 5 4 5 5 7 9 9 9 8 6 5 5 4 4 4 5 5 4 3 2 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 6 14 18 19 15 9 8 6 2 -0 2 4 5 5 5 3 5 6 6 6 5 5 6 4 3 4 3 3 3 4 6 6 6 6 6 6 7 8 8 7 7 7 6 6 6 8 12 18 19 15 11 10 9 7 5 5 5 5 4 4 4 5 6 6 5 6 6 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 4 3 3 3 4 5 6 7 6 6 5 6 6 6 6 5 4 3 4 3 4 4 5 6 6 6 5 4 4 5 5 5 5 5 4 4 3 3 3 3 2 2 1 2 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 2 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 5 4 5 4 4 5 4 4 4 4 5 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 5 6 6 5 5 4 4 4 4 4 4 5 6 7 7 7 7 7 6 6 5 4 4 5 9 12 12 10 8 6 6 6 7 6 6 6 6 5 2 -3 -7 0 9 5 1 3 10 7 4 3 6 3 9 10 5 1 1 3 8 8 3 4 8 9 6 9 6 2 7 6 3 6 6 4 2 3 7 11 15 15 11 8 9 12 11 5 -2 3 13 15 10 2 -5 -4 2 7 9 7 5 3 4 6 7 7 7 10 21 35 40 30 15 7 5 4 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 5 4 4 4 5 5 6 8 9 9 8 8 9 10 11 12 11 11 9 7 5 3 2 1 2 3 3 2 -1 -1 5 6 6 5 4 5 5 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 1 -5 -3 1 3 1 2 4 4 4 4 5 6 6 5 4 4 4 5 5 5 5 4 3 2 2 3 4 4 4 4 5 6 7 9 10 10 9 7 5 5 5 4 5 5 5 3 2 2 3 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 5 5 5 5 4 4 3 3 3 2 2 3 8 13 13 9 7 6 3 -0 -0 3 7 7 5 3 4 7 7 5 3 6 5 3 4 7 7 4 3 5 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 8 13 20 25 23 17 11 7 4 2 3 3 3 3 3 2 3 5 6 6 6 6 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 7 5 3 2 2 2 3 4 5 6 6 6 5 5 5 5 5 4 4 3 3 4 4 4 5 6 6 6 4 3 4 5 5 6 6 5 5 4 3 3 2 2 2 2 2 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 6 5 5 4 4 4 4 4 4 5 6 6 7 8 7 6 6 6 5 4 4 5 8 12 13 10 8 7 6 6 6 6 6 6 6 5 2 -3 -9 -7 1 5 3 3 4 1 7 9 8 1 4 11 6 -0 1 7 10 3 0 -2 0 3 5 7 3 2 6 5 0 4 6 5 3 4 6 4 8 19 19 11 11 9 6 7 3 4 8 10 8 3 2 7 6 4 7 7 5 5 4 4 5 6 8 19 35 40 31 17 7 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 5 6 6 7 8 8 8 8 8 9 10 10 10 10 9 7 5 3 2 2 3 4 4 3 4 7 6 7 7 5 4 5 6 6 5 5 5 6 6 6 6 5 5 5 5 5 4 4 3 1 -4 -1 7 8 5 4 5 4 4 5 6 7 6 4 3 4 5 6 5 5 5 3 3 3 3 4 4 4 4 5 6 7 9 11 10 9 7 5 5 5 5 5 5 5 3 2 2 3 4 5 5 5 5 6 6 6 6 5 5 5 4 5 5 5 5 4 3 4 3 3 2 1 -0 -2 -2 -2 -3 -1 2 7 8 6 7 7 4 2 2 6 7 6 3 4 8 9 5 1 4 4 4 6 8 6 4 4 4 4 6 6 7 8 7 7 6 6 6 6 6 6 6 6 8 12 20 26 26 19 12 6 3 3 3 2 2 2 3 3 3 4 5 6 6 6 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 6 6 4 3 2 2 2 1 2 3 5 6 5 4 4 4 5 5 4 4 4 4 4 4 4 5 7 6 5 4 3 4 4 5 5 5 5 5 4 4 3 3 3 4 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 2 2 2 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 4 4 5 4 4 5 5 5 5 4 4 5 5 6 6 6 5 5 5 4 5 4 4 4 5 6 8 8 7 6 6 5 5 4 4 5 7 11 13 11 8 7 6 6 6 6 6 6 6 5 3 -2 -8 -8 1 5 3 6 4 1 10 13 7 4 2 6 6 2 2 9 9 3 3 -0 -3 -1 4 4 1 2 6 7 4 3 3 5 5 6 4 2 3 9 11 9 10 4 1 8 15 11 6 6 7 8 11 12 8 6 7 6 6 6 4 3 5 6 9 21 31 26 15 8 5 4 4 3 3 3 4 3 2 3 3 3 3 4 4 4 4 4 5 4 4 4 4 5 6 6 6 7 8 8 8 8 8 9 9 9 9 8 6 5 3 3 4 4 4 5 4 5 8 6 6 7 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 2 -1 -2 4 9 7 4 4 5 5 7 9 9 6 4 3 4 5 6 6 5 4 3 3 3 3 4 4 4 5 5 5 6 8 11 11 9 7 6 5 5 5 6 6 5 4 1 1 2 3 4 5 5 5 6 7 7 7 6 5 4 4 4 3 4 4 4 3 2 2 2 2 1 -2 -4 -5 -6 -6 -4 -1 3 5 6 6 6 7 7 4 5 5 6 7 5 7 12 7 1 2 4 6 9 7 5 4 4 4 5 5 5 6 7 8 7 7 7 6 6 6 6 6 7 7 10 16 22 23 19 12 7 3 4 2 2 2 3 3 3 3 4 4 5 6 6 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 5 6 4 3 2 3 3 1 0 1 2 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 5 6 7 5 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 3 3 2 2 2 2 2 2 3 3 2 2 3 3 3 3 3 4 3 3 3 3 2 2 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 5 5 6 7 6 5 5 5 6 6 6 5 5 5 7 8 8 7 7 6 5 5 5 5 5 6 10 12 12 9 7 6 6 6 6 6 6 6 5 4 1 -4 -4 3 5 3 4 3 3 8 7 5 5 4 4 6 7 3 6 4 1 5 8 2 0 5 5 1 4 8 7 7 5 4 3 3 4 2 4 4 4 -0 3 6 6 4 2 7 8 7 5 0 6 11 11 8 6 5 4 4 6 5 4 5 5 10 19 20 12 6 5 5 4 4 4 4 4 4 3 3 3 3 4 3 4 4 4 4 5 4 4 5 4 4 5 5 6 6 7 7 8 8 8 8 8 8 8 8 7 6 5 4 4 5 5 5 5 4 3 5 5 5 6 6 7 7 7 6 6 6 6 6 6 5 5 4 4 4 4 5 5 4 4 3 2 -2 -3 2 6 5 4 5 6 9 11 10 6 4 3 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 8 10 10 9 7 5 4 4 5 6 7 6 4 2 1 0 2 3 4 5 5 6 7 8 8 7 5 4 4 3 3 3 3 3 2 2 2 3 4 3 1 -1 -1 -1 -3 -2 1 3 4 5 6 5 6 9 7 4 6 4 4 4 7 12 9 5 4 6 8 8 6 5 5 5 5 5 4 3 2 4 6 7 7 6 5 5 6 6 7 7 7 8 11 15 18 15 10 6 5 3 2 2 3 3 4 4 4 4 4 4 5 5 5 4 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 nan nan nan nan nan
nan nan nan nan nan nan nan 2 4 4 4 3 3 4 4 3 1 0 1 2 2 3 3 3 4 4 4 4 4 4 4 4 3 2 3 5 7 7 4 3 3 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 3 3 2 2 2 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 2 2 2 2 2 2 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 6 5 6 7 7 8 7 7 6 7 8 8 8 7 6 5 5 5 5 5 6 9 12 12 10 7 6 7 7 6 6 6 5 4 3 3 1 -1 1 5 6 5 5 6 9 7 2 4 5 2 7 11 6 4 -1 -2 3 7 5 4 7 4 2 5 8 5 8 6 4 3 2 -0 2 7 8 6 -1 -2 -0 6 7 3 -0 2 7 5 -3 -0 6 9 8 7 8 6 4 4 4 4 5 8 15 21 15 7 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 5 5 6 6 7 7 7 8 8 8 8 7 7 7 7 6 5 5 5 5 5 5 4 2 5 8 8 7 7 7 6 7 6 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 4 2 -0 -0 4 5 4 5 7 10 11 8 5 4 5 6 5 4 4 3 4 4 4 4 4 4 4 4 5 6 6 6 7 8 8 8 7 6 5 4 5 6 7 7 5 3 1 -0 -0 1 3 4 5 6 7 8 8 8 6 5 4 3 3 2 2 2 1 1 2 4 7 6 4 4 4 4 3 2 3 4 3 2 4 5 4 6 6 5 8 6 2 2 5 9 9 7 7 7 8 7 6 5 4 4 5 5 4 1 -3 -2 1 5 6 5 4 4 6 6 7 7 7 7 8 9 11 11 7 5 5 2 2 3 3 3 3 3 3 3 3 3 4 5 5 5 4 2 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 nan 2 4 3 2 2 2 4 5 5 3 2 2 2 2 1 1 2 2 3 3 4 4 4 4 4 3 2 3 4 6 7 7 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 2 2 2 3 3 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 3 4 3 4 4 4 3 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 6 6 6 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 7 6 5 5 5 5 5 6 8 11 12 11 8 7 7 7 6 6 6 5 4 3 3 2 1 -0 3 7 8 8 9 11 9 8 12 8 2 4 7 8 7 1 0 2 3 6 5 8 8 5 4 5 5 6 4 2 5 3 -2 4 8 8 8 3 -5 -3 4 5 5 6 8 11 7 1 -1 4 3 5 9 10 6 4 4 4 4 6 12 21 21 12 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 4 4 3 2 6 14 17 14 10 8 7 7 7 6 6 5 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 4 1 2 5 5 5 7 10 10 6 3 3 6 7 6 4 3 3 4 4 5 5 4 4 4 4 5 5 6 6 7 7 7 7 6 6 5 5 5 6 7 8 7 6 3 0 -2 -1 2 4 5 5 6 8 9 9 8 6 4 4 3 3 2 1 1 3 5 5 7 7 5 5 4 3 3 3 4 4 3 2 1 4 5 5 5 6 10 11 6 2 4 8 9 8 8 7 7 7 7 5 4 3 3 4 5 4 0 -2 -2 2 4 5 5 5 5 6 7 7 7 7 6 7 7 6 5 5 5 3 2 3 2 2 3 3 3 3 3 2 3 5 5 5 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 nan nan 1 2 4 2 1 1 2 3 4 5 4 4 4 3 2 2 1 1 1 2 2 2 3 3 4 4 3 3 3 4 6 7 7 6 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 7 8 8 9 10 11 11 12 11 10 10 8 6 5 5 5 5 6 6 7 10 12 12 9 7 6 7 7 6 6 5 4 3 3 2 2 1 3 5 7 7 7 7 5 9 11 9 6 5 3 3 7 7 6 4 6 9 6 8 11 8 5 5 6 2 1 3 7 4 1 6 7 6 6 6 -2 1 6 8 8 5 6 9 4 5 2 3 3 6 13 10 5 3 3 4 5 7 15 22 18 8 5 5 5 4 5 5 4 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 7 7 6 6 6 5 4 4 3 2 2 5 13 19 20 19 16 12 11 9 8 7 6 6 5 5 6 6 6 6 6 6 5 6 8 8 6 5 6 5 5 5 5 5 5 7 7 4 2 3 6 7 5 5 4 4 4 5 5 5 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 5 5 5 6 7 8 8 7 4 0 -1 -1 2 4 6 6 7 9 9 8 7 6 5 4 3 2 0 0 5 11 9 5 5 6 6 5 3 2 4 4 4 5 5 5 6 8 9 9 9 10 13 10 5 6 8 9 9 8 6 6 8 8 6 4 2 2 3 5 7 7 6 4 2 3 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 3 3 2 2 3 3 3 4 3 2 2 3 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 3 2 1 1 1 1 3 4 4 5 5 5 4 3 3 2 1 1 0 0 2 3 3 3 3 3 2 3 5 6 7 7 7 6 4 3 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 6 7 6 6 6 6 6 7 7 8 9 11 12 13 12 12 12 11 8 6 5 5 5 6 6 6 7 9 12 12 10 7 6 7 7 6 6 5 4 3 3 2 2 2 1 4 6 5 3 2 0 3 5 6 4 3 0 1 6 11 9 7 7 5 7 9 11 8 4 5 7 4 1 3 6 3 4 6 4 5 6 6 5 6 6 8 5 4 6 2 -1 2 3 6 9 11 13 10 5 3 4 5 5 7 16 20 13 6 5 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 3 4 4 4 4 4 4 5 5 4 4 5 4 4 4 5 6 6 6 6 5 6 7 7 7 6 6 5 5 4 4 3 2 1 2 2 4 11 17 20 20 21 18 16 14 13 13 11 8 6 6 6 6 5 6 7 7 7 8 9 8 9 11 11 8 5 5 5 4 3 2 1 2 3 5 5 6 6 6 5 5 6 5 5 5 5 4 4 4 4 5 5 4 4 3 4 6 6 6 5 5 5 5 6 7 8 9 9 6 3 -0 0 3 5 6 7 7 7 6 7 6 3 2 2 1 -0 -1 4 13 12 5 5 6 5 5 5 5 5 5 7 9 11 11 12 12 12 11 10 8 9 9 8 8 9 10 10 8 7 7 8 9 8 5 2 2 2 4 8 9 7 8 5 4 4 4 4 5 5 5 5 6 6 6 7 7 7 6 6 5 5 5 4 3 3 3 3 3 4 3 3 2 3 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 3 1 1 1 1 1 1 3 4 4 5 5 5 5 5 4 3 2 1 1 1 2 2 2 2 2 2 2 3 5 7 8 8 7 6 4 3 3 3 3 3 2 2 3 3 3 3 3 3 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 3 3 4 4 4 4 3 3 4 4 3 4 4 4 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 7 7 8 10 12 13 12 12 13 13 11 8 6 5 6 6 6 6 6 7 9 11 12 11 8 7 7 6 6 6 5 4 3 3 2 2 2 1 3 6 6 1 -2 1 4 5 7 4 0 -1 2 6 10 9 5 2 1 7 12 12 6 0 0 6 9 5 2 4 4 5 5 1 1 4 6 6 5 6 5 1 4 4 4 4 3 2 4 9 9 9 9 6 3 6 8 7 10 18 17 8 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 3 3 4 4 5 5 5 5 5 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 4 4 3 3 3 2 1 1 2 2 3 6 9 12 15 17 17 18 19 19 17 14 10 7 7 7 7 8 8 10 13 13 13 14 15 16 13 6 5 6 5 4 2 -0 -0 1 2 2 3 4 6 6 5 6 6 6 6 6 5 5 4 3 3 4 4 4 1 -5 -5 2 6 5 5 5 4 4 5 6 8 10 12 13 10 4 -0 -0 3 6 6 5 4 3 3 2 0 -2 -3 -2 -3 -2 3 10 10 5 5 6 5 5 6 6 6 7 9 12 14 13 11 11 10 9 7 6 6 7 8 9 11 12 11 9 7 6 8 10 9 6 5 5 4 4 6 6 5 6 6 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 6 6 6 6 6 6 4 3 3 3 4 4 3 2 2 3 4 5 5 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 5 4 3 3 2 1 0 1 2 3 4 4 4 5 5 5 6 5 4 3 2 1 1 1 2 2 1 1 2 2 3 5 6 7 8 7 6 5 4 4 3 3 3 2 2 2 3 3 3 3 2 2 2 2 2 2 2 3 2 2 2 1 1 1 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 6 5 6 6 6 6 7 6 6 6 7 7 8 10 11 11 11 12 13 13 11 8 6 6 7 6 6 6 6 7 9 11 13 12 9 7 6 6 7 6 5 4 3 3 3 3 4 5 3 2 4 -1 1 7 8 -1 3 8 8 4 3 3 7 10 7 2 1 6 12 12 8 1 -2 1 6 7 3 4 7 4 4 3 1 3 4 3 2 7 4 2 4 3 7 7 2 -3 -2 6 8 8 10 7 4 4 7 11 17 20 13 5 3 3 4 4 4 4 5 5 5 5 4 4 3 3 3 4 4 3 3 4 3 3 3 4 5 5 5 5 5 5 4 4 4 4 5 6 6 5 5 4 4 4 4 3 3 3 2 2 2 2 2 1 2 1 1 1 2 3 4 7 9 11 12 12 13 14 13 12 12 12 13 14 16 16 15 16 17 17 19 17 10 5 5 6 6 6 4 2 0 0 1 1 2 3 4 4 5 5 5 5 6 6 6 6 5 4 3 3 4 6 4 -5 -13 -9 2 5 5 4 4 4 4 5 6 9 12 14 15 12 4 -1 -1 2 5 4 1 -2 -3 -3 -3 -7 -7 -7 -5 -2 3 7 7 5 5 6 6 6 7 8 7 7 9 10 11 9 6 6 7 6 5 6 6 7 8 10 12 13 12 9 7 7 8 8 8 7 7 6 5 6 6 6 6 6 7 5 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 4 2 2 2 3 3 4 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 5 4 4 4 3 2 1 0 0 2 3 3 3 5 5 6 6 7 6 5 4 3 2 2 2 2 2 1 1 1 2 3 4 5 6 7 6 6 5 4 4 4 4 3 2 2 2 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 1 2 2 2 2 2 2 2 3 3 3 2 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 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 7 7 7 6 5 5 6 7 8 9 10 10 10 11 12 12 11 8 8 7 7 7 7 7 7 8 9 11 13 12 10 6 4 5 7 7 6 4 3 3 3 4 7 9 4 1 1 -0 6 7 6 -4 3 12 12 7 1 -3 5 11 10 6 5 7 12 14 11 7 5 3 -0 2 4 7 9 5 6 7 5 6 4 4 3 5 5 7 5 8 9 5 -0 -3 2 5 7 10 12 9 5 4 5 12 20 18 10 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 3 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 3 3 2 2 3 2 2 2 2 2 1 1 1 1 1 1 2 2 3 4 4 4 6 8 11 14 14 15 15 14 14 12 10 10 12 13 14 12 7 5 5 6 6 6 5 4 2 0 0 2 2 3 3 1 2 4 3 1 3 6 7 6 6 5 4 3 5 8 11 5 -4 -8 -2 4 5 5 5 5 5 5 5 7 9 12 16 16 11 4 -2 -3 1 2 -1 -5 -6 -4 -2 -4 -4 -5 -4 1 4 4 5 5 6 6 6 8 13 14 10 8 9 8 6 6 5 5 5 5 5 6 6 7 9 11 12 13 11 9 8 8 7 7 7 7 6 6 5 6 6 6 6 7 8 7 5 5 4 5 4 4 4 4 4 5 6 7 7 8 8 7 7 7 8 8 8 7 6 6 5 5 4 4 2 2 2 3 3 4 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 4 4 3 4 5 5 4 3 1 -1 -0 0 0 2 4 4 5 7 8 7 6 6 4 4 3 3 3 3 2 1 1 1 1 3 3 4 5 5 5 5 4 4 3 4 3 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 6 7 9 9 10 9 9 11 11 11 11 10 9 8 8 8 7 7 7 8 10 11 12 12 10 6 3 5 8 6 5 4 4 3 3 5 8 9 4 4 3 6 8 2 0 2 2 12 9 6 2 -2 3 7 8 12 11 6 9 14 13 11 12 8 2 1 3 4 7 10 9 7 7 6 7 9 6 5 7 7 5 12 14 11 2 4 8 7 6 9 10 8 6 5 5 13 21 14 6 4 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 5 7 9 9 10 9 7 5 6 6 7 6 7 8 7 6 5 4 4 5 6 6 5 4 2 2 2 2 3 4 1 -2 2 3 -4 -8 -2 4 7 6 6 5 4 5 11 18 16 9 6 3 5 6 6 5 5 5 4 4 4 5 6 9 13 13 7 -1 -5 -5 -3 -5 -7 -5 -1 0 2 2 3 3 4 5 4 4 5 5 4 4 9 16 17 13 10 9 8 7 6 5 5 5 5 5 5 5 7 8 10 11 11 10 10 8 8 8 8 8 7 6 6 5 5 5 5 6 7 7 7 6 6 5 5 5 4 4 4 3 4 5 6 7 8 9 9 7 7 7 8 8 8 8 8 7 7 6 5 3 2 2 3 3 4 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 4 3 4 5 6 6 5 2 0 -1 -0 -0 0 2 3 4 6 7 8 7 6 6 5 5 4 4 4 3 2 2 2 1 2 2 3 4 5 5 5 5 4 3 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 4 5 5 5 6 6 6 6 7 6 6 6 6 8 9 11 10 10 10 11 11 11 10 10 9 8 8 7 7 7 8 9 10 11 12 12 10 6 4 5 7 6 5 4 4 3 3 5 7 7 4 6 7 11 7 6 4 11 3 6 6 11 10 4 1 3 5 10 9 3 3 10 14 12 10 5 3 7 5 -1 3 10 10 7 6 4 9 10 6 5 8 5 6 14 16 15 6 8 8 6 6 7 7 6 6 7 8 16 19 11 4 3 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 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 3 3 2 3 3 4 3 3 4 3 4 4 4 4 5 5 5 5 5 5 4 5 5 6 6 6 7 6 6 5 5 4 5 5 5 5 5 4 3 2 3 4 6 6 2 3 7 1 -10 -14 -5 3 5 5 5 5 6 10 17 21 13 8 7 6 7 6 5 4 4 2 0 -0 0 -0 -0 2 6 5 -1 -8 -8 -5 -3 -3 -4 -1 3 5 4 5 5 5 4 5 5 6 5 3 5 6 7 11 10 8 8 7 7 8 6 6 5 4 4 4 5 6 7 8 9 9 9 10 9 9 9 9 9 8 7 6 5 4 4 5 5 5 5 6 6 6 6 5 5 4 3 4 5 5 5 5 6 7 9 9 8 7 6 6 7 7 7 7 8 8 8 6 4 3 3 3 3 4 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 5 5 4 4 4 5 6 6 7 5 2 2 1 0 -0 0 1 2 4 6 6 7 7 7 6 6 6 5 5 4 4 4 3 2 2 2 3 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 1 2 2 2 2 2 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 6 6 6 7 9 11 12 11 10 10 10 10 10 10 10 9 8 8 7 7 8 9 10 11 12 12 12 9 7 6 6 6 6 5 4 4 3 3 5 6 6 4 6 9 9 6 9 10 15 7 6 11 15 15 11 2 3 4 2 3 1 1 7 11 11 7 -0 -1 5 4 -1 -0 3 7 10 6 4 8 8 3 5 7 4 6 12 13 9 8 9 4 1 3 5 6 5 5 7 12 20 17 8 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 6 9 9 7 12 12 2 -11 -15 -7 -1 -1 1 3 5 8 11 15 11 4 4 5 6 5 3 2 0 -1 -4 -7 -6 -4 -6 -8 -4 -0 -2 -4 -1 3 6 3 -2 -1 2 4 4 2 2 4 5 6 6 7 8 7 8 9 5 4 5 5 6 6 7 7 7 6 6 5 5 4 4 5 5 6 7 7 8 9 9 9 9 9 9 9 8 7 6 5 4 4 5 5 5 5 6 5 5 5 4 3 3 4 6 5 5 5 5 6 8 8 8 7 6 5 5 6 6 6 7 9 8 7 5 3 3 3 3 4 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 5 5 5 5 5 5 5 6 6 6 6 5 4 3 1 0 0 1 2 3 4 5 6 6 6 6 6 6 6 5 5 5 4 3 3 3 3 3 4 4 5 5 6 5 5 5 5 4 3 3 3 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 6 7 7 8 10 13 14 12 10 9 9 9 9 9 9 8 8 7 7 7 8 9 11 13 13 13 11 9 7 6 6 6 6 5 4 4 4 4 5 6 5 5 7 7 4 6 4 5 6 11 8 11 11 11 13 4 3 -0 -3 3 0 0 5 6 9 11 3 -1 3 4 3 -0 -4 2 9 4 -2 0 3 5 5 6 5 6 9 7 4 7 7 2 -2 0 3 5 5 5 7 15 22 15 6 4 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 4 3 3 3 3 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 4 4 5 6 8 8 12 14 9 0 -11 -15 -11 -10 -7 -5 0 5 6 7 6 4 3 4 4 2 1 -2 -4 -5 -5 -8 -10 -6 -5 -8 -8 -3 1 2 4 6 8 6 4 3 4 5 7 7 3 5 10 11 10 8 6 6 8 11 9 5 4 4 5 5 6 7 7 5 5 5 5 4 3 4 5 5 5 6 6 7 7 8 8 8 9 9 8 8 7 6 5 5 5 5 5 6 6 6 5 4 4 3 3 3 3 4 4 4 5 5 6 6 7 8 7 6 5 5 5 5 6 7 8 8 6 4 3 2 2 3 6 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 4 5 5 5 5 4 4 5 6 7 7 7 7 4 2 1 1 1 1 2 3 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 4 4 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 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 3 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 3 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 8 10 12 14 14 13 10 9 9 9 9 9 8 7 7 7 7 8 9 10 13 14 14 13 11 9 7 7 7 7 6 6 5 5 4 4 6 8 8 9 8 2 -0 3 2 5 3 7 1 5 2 2 8 5 4 1 0 3 -1 -0 2 0 5 16 15 7 3 4 7 3 -4 -1 5 1 -3 -2 2 7 5 5 5 7 7 4 2 4 2 1 4 4 3 5 5 4 8 18 22 13 5 4 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 10 13 9 3 -1 -6 -7 -8 -10 -11 -10 -3 2 4 5 4 3 3 3 0 -2 -2 -3 -3 -2 -1 -3 -3 -0 0 -1 1 4 5 5 4 5 8 9 9 9 8 10 16 13 9 13 14 13 11 6 2 5 6 7 7 5 4 4 5 5 6 6 5 4 4 4 4 3 4 4 4 5 5 5 6 6 6 6 7 8 8 9 9 9 8 7 6 5 5 5 6 8 8 6 5 3 3 3 3 3 4 3 4 4 5 5 5 5 6 7 6 6 5 5 5 5 6 7 8 7 5 3 2 1 2 6 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 4 4 4 4 4 4 5 6 6 6 6 7 8 7 5 4 3 2 1 1 2 3 4 5 6 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 3 3 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 4 3 4 4 4 4 4 4 5 5 5 6 7 6 6 7 7 8 11 13 15 15 13 12 11 10 10 10 9 8 7 7 7 7 8 10 12 13 14 14 12 10 8 8 7 7 7 6 7 5 4 3 4 6 7 9 11 8 2 -1 -1 4 10 13 8 -0 -2 -1 1 2 9 10 8 5 5 3 2 -2 -4 0 11 17 14 5 3 5 3 2 4 4 3 4 4 4 4 3 4 5 6 7 9 6 2 -1 1 12 10 6 6 5 5 9 21 22 10 4 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 6 6 5 6 6 6 8 11 16 15 7 4 2 3 3 0 -5 -12 -13 -9 -3 1 3 3 3 4 2 1 5 6 3 3 4 4 4 4 5 6 5 6 6 5 5 4 5 6 9 11 9 9 17 19 15 13 11 11 12 8 3 3 3 5 6 6 5 5 4 5 5 5 5 4 3 3 3 3 3 4 4 4 5 6 6 5 5 5 5 5 6 8 9 9 9 9 8 7 7 5 5 7 8 8 6 5 4 3 4 4 5 5 5 4 4 4 4 4 4 5 6 5 5 5 5 5 5 6 8 8 6 4 2 1 2 5 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 3 3 3 3 3 4 5 6 6 6 6 6 6 8 7 5 4 3 2 2 2 2 3 4 6 6 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 5 6 6 6 7 7 7 6 5 4 4 4 3 3 3 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 6 6 7 7 8 11 14 16 17 16 14 13 12 11 9 8 8 7 7 7 7 8 11 12 13 14 12 10 9 8 7 8 8 7 7 7 5 3 3 3 4 5 7 8 8 7 1 -1 5 12 24 15 4 -1 1 4 0 10 15 14 12 13 11 5 -4 -6 -1 3 8 13 7 4 5 2 5 7 4 4 7 8 5 2 4 5 6 5 8 15 11 3 1 4 9 8 7 7 6 7 10 21 22 10 4 4 3 3 3 3 4 4 4 4 5 4 4 4 4 3 4 4 3 4 4 4 4 3 3 3 4 3 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 8 11 16 20 18 10 3 4 7 9 6 -1 -8 -13 -11 -5 -2 -1 0 3 5 6 7 9 7 6 6 6 6 6 6 6 6 7 7 6 6 5 4 0 5 9 8 8 11 14 12 10 8 7 9 9 6 4 3 3 4 5 5 6 6 5 5 5 4 4 3 3 4 4 3 4 4 4 5 6 6 5 4 4 4 4 4 4 5 7 10 10 10 9 9 7 5 6 7 8 8 7 6 5 5 5 5 6 5 5 5 4 4 4 4 4 5 5 5 5 5 6 5 6 8 8 7 4 2 2 2 4 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 3 3 3 2 2 3 4 4 5 6 6 6 6 7 7 7 5 4 4 4 3 3 3 3 4 5 6 7 6 6 6 7 7 7 7 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 6 6 5 4 4 4 4 5 6 6 6 6 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 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 6 7 6 7 7 7 9 14 19 20 18 16 15 15 13 11 9 8 8 8 8 8 8 10 11 13 14 13 11 10 8 7 7 7 7 6 7 6 5 4 3 3 1 6 9 4 5 6 4 4 5 8 17 14 6 1 0 4 2 6 9 10 16 14 12 5 -2 -3 0 2 2 6 8 6 6 2 2 3 4 4 5 10 8 4 6 8 8 7 8 12 9 4 5 5 3 3 4 6 5 7 14 23 21 10 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 4 5 4 5 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 5 5 6 5 5 5 5 6 8 13 19 23 17 8 7 6 7 10 8 5 -1 -9 -10 -8 -7 -5 -3 -1 -0 2 5 6 7 6 5 6 7 7 7 7 7 8 7 5 7 8 2 3 7 7 7 8 9 8 7 7 7 7 8 8 6 3 2 2 3 4 5 7 7 7 6 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 0 3 8 9 10 10 10 9 7 6 7 7 8 7 7 6 6 7 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 6 5 5 6 7 6 4 3 2 2 3 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 3 3 4 3 2 2 3 4 4 4 5 6 8 8 8 7 5 4 4 4 4 4 3 3 4 4 5 5 5 5 5 6 7 7 7 7 7 8 8 9 8 7 7 7 6 6 6 6 6 7 7 7 6 5 5 5 5 6 7 7 7 7 7 6 4 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 4 3 3 4 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 5 5 5 6 7 6 7 8 8 14 24 26 20 15 13 13 13 12 10 8 8 8 9 10 10 10 11 12 13 13 12 11 10 8 7 6 7 7 6 5 4 3 4 4 2 2 9 12 4 2 4 7 7 7 7 7 8 7 2 4 8 6 5 2 3 13 8 6 4 4 4 3 3 0 2 10 12 8 3 2 3 6 6 7 11 9 3 4 9 12 9 7 9 7 5 7 5 1 -0 3 5 4 6 14 24 21 10 5 3 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 4 4 4 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 4 5 5 5 6 5 5 5 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 8 12 16 19 19 18 14 8 7 8 8 7 0 -5 -5 -4 -4 -3 -3 -4 -1 3 5 7 5 3 5 7 7 6 6 10 11 10 8 10 12 7 2 5 6 7 9 9 8 7 7 7 7 8 8 7 5 3 1 2 2 3 5 8 9 8 6 4 3 4 3 3 4 5 5 5 4 4 4 4 5 5 5 5 6 8 4 1 5 7 9 10 10 10 9 8 8 8 7 7 7 7 8 8 8 8 7 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 4 3 3 3 3 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 3 3 2 2 2 3 3 2 3 5 7 9 9 8 5 4 5 4 5 5 4 4 3 3 4 4 4 3 3 4 5 6 6 6 7 7 8 9 9 9 8 7 7 6 5 5 5 5 6 6 6 5 5 5 6 6 7 7 7 7 7 7 6 5 4 4 4 4 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 3 3 3 3 3 3 3 3 4 3 3 4 3 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 5 5 5 5 6 6 7 8 9 12 26 38 28 13 7 9 10 10 10 9 8 8 8 10 10 10 11 12 13 13 12 11 10 9 8 6 6 6 6 5 3 2 2 4 3 2 8 10 13 8 2 4 7 5 8 8 5 6 4 2 7 8 9 5 1 2 6 4 2 4 7 9 5 2 -1 1 6 9 10 8 4 4 8 11 12 11 6 2 2 8 12 9 8 12 10 6 8 4 1 1 3 5 4 4 10 21 25 14 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 4 4 4 4 4 5 5 4 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 7 9 15 18 20 21 17 12 10 10 11 8 6 7 6 4 3 3 2 4 7 8 8 7 9 10 7 7 6 8 15 17 14 13 12 10 6 4 5 7 9 9 8 7 6 7 7 6 7 7 8 7 5 3 2 2 3 4 6 8 8 7 5 4 3 3 3 3 4 5 5 4 4 4 4 4 4 4 5 5 7 7 4 4 5 7 9 10 11 10 9 9 9 8 7 6 7 8 8 9 9 7 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 3 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 3 3 2 2 2 2 2 1 2 3 6 8 10 8 6 5 5 5 5 5 5 4 3 3 3 3 3 2 2 2 3 3 4 5 5 6 7 8 8 9 8 8 8 7 6 5 4 4 5 5 5 5 5 5 6 6 6 7 6 7 7 7 7 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 5 5 6 6 6 6 7 8 11 18 34 35 15 2 1 5 8 8 8 9 9 9 9 9 9 10 11 12 12 12 11 10 8 8 7 6 5 5 4 3 1 0 1 4 6 8 9 6 10 12 6 4 4 2 4 4 3 4 2 2 3 3 5 5 3 2 3 6 6 8 9 10 9 5 1 0 2 3 8 9 4 2 7 13 13 9 5 4 6 6 6 5 8 12 11 8 9 5 3 4 4 3 4 4 7 17 27 20 6 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 6 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 6 7 9 13 17 20 18 16 16 16 17 18 19 15 10 8 10 8 7 10 17 17 12 18 19 11 12 10 9 15 17 13 10 8 7 4 5 6 8 10 8 7 6 6 7 7 6 6 7 7 7 6 4 3 3 3 3 4 5 7 8 6 5 4 3 3 3 4 4 4 4 4 3 3 3 3 4 4 5 5 6 6 5 5 5 7 9 10 11 11 11 11 9 8 7 6 6 7 10 10 7 5 5 5 6 6 6 5 6 6 5 5 5 6 5 5 5 5 5 5 4 4 4 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 5 5 4 4 4 3 3 3 3 3 3 2 2 2 2 4 7 9 8 6 5 4 5 5 5 5 5 4 3 3 3 3 2 2 2 2 2 2 3 3 4 5 6 7 8 8 8 8 7 7 6 5 5 5 5 4 4 5 5 4 4 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 3 3 4 3 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 5 6 6 6 6 7 8 10 14 21 28 16 1 -1 2 5 7 7 7 8 8 9 9 8 8 8 9 11 11 11 10 8 7 6 6 5 5 4 2 0 0 1 2 4 8 12 7 3 7 10 8 7 5 4 4 2 3 5 6 7 4 -0 -1 4 5 3 6 12 11 9 9 10 11 10 11 5 1 -1 -0 7 5 3 5 7 8 4 2 5 10 7 0 -1 6 12 13 13 11 8 5 6 3 1 3 4 5 16 28 22 7 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 5 5 6 6 6 5 5 5 5 4 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 5 6 7 10 12 15 15 14 14 15 16 18 20 17 13 16 13 11 13 17 20 19 20 21 18 17 14 8 9 11 9 6 5 5 5 5 7 9 9 7 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 3 3 3 5 7 7 6 4 4 3 4 3 3 3 3 3 4 3 2 2 3 3 4 5 6 6 5 5 5 5 6 8 11 11 12 11 11 9 7 6 5 6 8 9 7 6 5 5 6 7 7 6 6 7 7 6 6 6 5 5 5 5 4 4 4 4 4 4 4 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 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 5 7 8 6 4 3 3 4 4 5 5 4 3 3 3 4 4 4 3 2 1 1 1 2 3 3 4 5 6 7 7 7 7 7 7 6 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 4 4 3 2 2 2 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 4 4 5 4 5 5 4 5 5 6 6 6 7 8 10 13 17 22 21 5 -3 4 6 4 7 6 7 7 7 7 8 7 6 7 9 10 10 9 8 6 5 5 5 5 4 2 0 -1 2 4 6 4 7 12 8 10 9 6 6 7 8 9 8 3 1 3 7 11 7 1 -0 5 7 7 12 13 9 6 6 7 9 12 16 12 6 1 -1 5 6 8 6 -0 1 1 1 6 10 11 4 -1 4 8 12 16 13 10 6 4 2 1 4 6 4 17 28 18 7 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 5 5 5 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 3 4 4 4 4 4 3 3 3 3 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 3 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 7 8 8 8 7 5 5 8 12 16 16 16 15 13 12 11 11 13 11 12 12 11 10 7 5 6 6 5 5 5 5 5 6 8 8 6 5 4 5 5 5 5 6 5 5 5 5 6 5 5 5 4 4 3 3 5 6 6 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 4 5 6 6 5 5 5 6 7 9 11 12 13 12 10 9 7 6 6 6 7 7 6 6 6 7 8 7 7 7 8 8 7 7 6 6 6 5 5 5 4 3 3 4 4 4 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 4 4 4 4 5 5 5 6 6 5 5 5 5 5 4 3 4 5 7 8 5 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 1 2 2 3 4 5 6 6 6 7 7 7 6 6 5 4 4 4 3 3 3 4 4 4 5 6 5 6 6 6 6 6 7 7 7 7 7 7 6 6 6 5 4 4 4 3 2 2 2 2 2 2 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 5 5 5 5 5 4 4 5 6 5 6 7 7 8 12 17 20 23 18 -0 -4 7 3 2 5 6 7 7 6 6 7 6 5 6 8 9 9 8 7 5 5 5 5 5 3 0 -0 1 4 7 9 1 0 11 17 18 7 3 -0 1 9 13 10 4 -2 -2 5 9 9 5 5 8 8 9 11 8 4 3 3 4 7 10 10 9 11 10 5 3 3 8 8 2 1 2 6 7 7 12 9 5 7 7 10 17 14 11 6 1 -2 1 9 12 8 18 28 16 6 4 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 5 4 4 4 5 5 4 4 4 4 3 4 3 3 4 3 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 5 4 3 3 4 5 5 5 6 6 6 6 6 5 4 4 4 3 2 2 3 6 9 9 10 8 7 5 5 4 3 4 4 4 5 5 5 5 5 5 6 6 5 5 6 7 7 5 4 3 3 3 3 4 4 5 4 4 5 5 6 6 6 5 4 3 3 2 4 6 6 6 4 3 3 3 2 3 3 4 4 4 3 2 2 2 3 4 5 5 6 6 6 6 6 7 9 11 13 13 12 11 9 7 5 6 6 6 6 6 6 6 7 7 7 6 7 8 8 7 7 7 7 6 6 5 5 4 3 3 3 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 4 5 5 6 6 7 7 6 6 6 6 6 5 4 4 4 6 7 8 7 6 6 6 5 4 4 4 4 4 4 5 5 6 6 5 4 2 2 1 2 2 2 3 3 4 5 5 6 7 7 7 6 5 5 4 4 4 3 3 3 3 4 4 5 5 5 6 5 5 6 6 6 7 7 7 7 7 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 6 5 5 6 7 7 7 10 16 22 24 24 15 -1 -2 4 -1 -2 2 4 7 7 6 5 5 6 5 5 7 8 8 7 6 5 5 5 5 3 0 -2 0 4 6 6 4 1 1 6 10 9 2 -3 -4 1 8 11 11 7 4 5 8 6 6 7 6 8 9 11 8 4 2 -0 -0 2 5 7 4 1 7 11 7 2 -3 2 11 9 7 7 10 7 4 9 10 10 11 10 11 19 20 13 5 -2 -6 1 13 15 10 17 29 17 6 4 4 5 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 3 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 4 3 4 4 4 5 5 5 5 5 5 4 3 3 4 4 5 5 6 6 6 6 6 5 5 4 3 3 2 2 2 3 3 4 4 4 3 4 4 3 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 7 6 4 3 3 2 2 2 2 3 4 4 3 4 5 6 6 6 6 6 5 3 2 2 4 5 6 5 4 3 3 3 2 3 4 5 5 4 3 3 2 3 3 4 4 5 5 6 6 6 6 7 9 11 13 13 12 10 8 6 5 5 6 7 6 5 5 6 7 6 6 6 8 8 8 8 8 7 7 7 6 6 5 3 3 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 6 6 6 7 7 8 7 7 6 6 6 6 6 5 4 5 6 8 9 8 7 6 6 5 5 5 5 4 4 4 6 7 8 8 6 5 3 3 2 2 2 3 3 4 4 4 4 5 5 6 5 5 5 4 4 3 3 3 2 2 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 4 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 5 6 6 5 6 6 7 8 14 23 28 26 21 12 3 4 3 -4 -7 -4 2 7 8 7 6 5 6 5 4 6 8 8 7 6 6 6 5 3 -0 -4 -2 2 5 5 3 -2 -1 4 2 -1 0 5 -4 1 7 5 7 9 7 8 12 11 5 4 6 6 8 11 11 6 4 3 0 -1 1 4 5 1 -4 1 5 6 4 -6 -3 14 15 8 8 7 2 3 3 4 12 18 17 13 20 27 14 3 -5 -7 3 12 11 8 16 29 20 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 3 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 4 3 3 4 3 4 4 4 5 5 4 5 4 3 3 3 3 3 4 4 4 4 4 6 6 7 8 7 5 4 3 3 4 4 5 5 5 5 5 5 4 3 3 3 3 4 5 6 6 6 6 5 5 5 4 3 3 3 2 2 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 7 7 6 5 3 2 2 2 2 2 3 3 3 2 1 2 4 6 5 6 7 7 6 6 4 2 2 3 5 6 5 4 3 2 2 3 4 5 5 5 4 3 2 2 2 2 3 4 4 5 5 6 5 5 7 9 11 13 13 11 10 9 6 5 5 6 6 6 6 6 5 5 5 6 8 8 9 8 8 8 7 7 7 6 5 4 3 3 2 3 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 6 6 6 6 6 6 7 7 8 8 8 7 6 6 7 7 6 6 5 5 5 5 7 7 7 6 5 5 5 6 5 4 4 4 4 6 8 8 8 7 5 4 3 2 2 2 3 4 3 3 3 3 3 4 4 4 4 4 4 4 3 2 2 1 1 2 3 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 5 5 6 7 6 5 6 7 8 13 25 32 27 19 13 6 6 7 1 -9 -12 -7 1 8 10 9 7 6 6 5 5 6 8 7 7 6 6 7 5 -0 -4 -5 -0 5 5 4 4 1 -2 -2 1 4 6 6 -1 7 14 5 3 5 5 8 8 6 3 3 5 7 11 14 11 5 4 4 5 4 4 3 2 0 1 2 -0 -0 4 -3 -2 16 18 6 4 2 -3 4 4 2 8 15 15 14 25 31 16 2 -6 -6 5 10 6 5 16 31 22 6 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 5 7 9 11 12 10 6 5 4 3 3 4 5 5 5 5 6 5 5 4 3 3 3 4 5 5 6 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 6 7 7 7 6 4 3 3 3 3 3 4 3 3 2 1 0 -1 2 5 5 5 6 7 7 7 6 4 3 2 3 4 5 5 4 3 3 3 3 4 5 5 5 4 3 2 1 1 2 3 3 4 5 5 5 5 5 7 9 10 11 12 12 11 9 7 5 5 5 6 6 6 5 4 4 5 7 8 8 8 8 8 8 8 8 7 6 5 4 4 3 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 6 6 6 6 6 6 6 7 8 8 8 7 6 6 6 7 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 5 4 3 3 5 7 8 8 8 7 6 4 3 3 3 3 3 3 2 2 1 2 3 3 4 3 4 4 4 3 2 2 1 1 1 2 2 3 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 6 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 5 5 4 4 4 5 5 5 5 5 5 5 6 7 7 7 5 6 8 13 25 36 33 17 4 5 5 4 -0 -5 -11 -10 -3 3 7 10 10 9 7 6 6 6 7 8 7 7 7 7 7 3 -3 -5 -3 1 5 6 3 3 5 8 8 5 5 6 0 -0 10 18 8 5 6 6 12 10 3 2 1 4 10 14 14 11 7 3 2 7 10 8 6 4 4 7 7 4 2 4 3 3 15 17 5 2 1 -3 5 6 2 4 10 10 15 29 32 16 2 -4 -3 6 8 4 4 13 31 25 6 4 5 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 4 4 3 3 4 4 4 4 4 3 4 6 9 12 13 11 8 6 5 4 3 4 4 5 5 5 5 5 4 3 3 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 7 7 7 7 6 5 4 4 5 5 5 4 3 2 5 8 -0 -2 3 4 5 6 6 7 7 7 6 4 3 2 2 4 6 5 4 3 3 3 4 5 4 4 3 2 2 1 1 1 2 2 3 4 4 4 4 4 5 6 8 9 10 11 12 12 9 6 5 4 4 5 6 5 4 3 3 4 5 5 6 7 8 8 8 8 8 8 7 6 5 4 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 5 5 5 5 5 5 5 5 6 7 7 7 6 6 5 6 6 7 7 7 6 5 4 4 4 4 4 5 6 6 6 5 3 2 2 4 5 6 7 8 8 7 6 5 4 4 3 3 2 1 2 2 3 3 4 4 3 4 4 4 4 2 2 1 1 1 1 1 2 3 3 4 5 5 5 4 3 3 3 3 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 8 7 6 6 8 13 22 33 34 22 5 -5 1 7 -8 -14 -10 -7 -2 3 6 8 9 9 10 9 8 7 7 9 9 8 6 7 7 5 -0 -4 -3 -1 2 6 6 4 4 4 5 8 6 3 1 -2 1 10 15 12 13 11 10 13 12 4 -1 0 7 12 12 10 9 8 3 1 6 9 7 6 6 8 12 9 8 8 9 4 3 12 10 0 -2 -1 -3 4 4 -1 2 9 7 16 32 29 13 1 -2 3 9 10 5 3 11 28 24 8 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 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 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 3 3 4 4 6 8 10 10 9 8 6 4 4 4 5 5 5 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 2 3 3 3 4 4 4 4 4 5 7 8 8 8 7 6 5 5 5 6 5 4 1 2 9 13 3 -3 2 4 5 5 6 6 7 8 8 6 5 4 3 4 5 5 4 3 4 4 4 5 4 3 3 2 2 1 1 1 1 1 2 3 3 3 3 3 4 5 5 6 8 9 11 12 11 10 7 5 2 3 4 5 4 3 2 2 2 2 3 3 4 6 7 8 8 9 8 8 7 6 4 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 3 3 3 3 4 4 4 4 4 4 5 5 6 5 5 5 6 7 7 7 7 6 5 4 4 3 3 4 6 6 6 5 3 2 2 2 3 4 5 6 6 6 7 7 6 5 4 3 2 1 2 3 4 4 4 3 3 4 5 5 5 3 2 1 1 1 2 2 1 2 3 4 4 5 5 4 4 3 3 3 3 3 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 7 8 8 7 8 12 18 25 27 19 9 2 -2 -3 -5 -19 -16 -5 1 5 7 7 8 9 9 10 10 10 10 9 11 11 9 7 6 4 -1 -2 -1 -1 0 2 7 9 6 8 10 8 2 -4 -2 -0 1 6 9 12 17 17 13 12 12 9 2 -1 4 10 10 8 6 6 6 1 4 9 7 4 3 3 5 7 6 8 14 12 3 1 9 8 2 -1 -4 -3 5 8 4 2 1 1 17 34 27 10 -1 -1 6 11 11 7 5 14 25 20 7 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 6 8 8 8 6 5 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 4 4 3 2 2 3 4 4 3 3 4 6 7 8 9 8 8 7 6 6 5 5 4 2 1 4 12 12 3 -1 3 4 4 5 5 6 7 8 8 8 7 6 5 4 6 4 2 4 4 4 4 5 5 2 2 2 2 2 1 1 1 1 2 2 3 3 3 3 3 3 4 5 6 8 9 11 13 13 11 7 4 3 3 4 4 4 3 2 1 1 0 0 1 2 5 5 7 8 8 8 8 8 6 5 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 2 1 1 1 2 3 3 3 3 3 4 4 5 5 5 5 6 6 7 7 7 6 6 5 4 3 3 4 5 6 6 5 4 3 3 2 2 2 3 3 4 5 6 7 7 7 7 6 4 2 3 4 4 4 4 3 3 4 5 5 5 5 3 2 2 1 2 1 1 2 2 3 4 4 5 5 4 4 3 3 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 7 9 9 10 11 12 16 18 18 12 5 1 4 3 -5 -11 -10 -3 4 7 8 9 8 8 9 9 9 10 12 12 12 12 13 12 9 6 0 -3 1 5 1 3 2 5 12 8 7 9 6 3 -1 -1 0 5 8 9 13 18 16 12 12 11 5 -1 0 8 8 7 5 4 4 3 2 10 14 9 4 2 -1 0 2 2 6 11 10 7 4 7 10 10 9 1 -2 2 10 11 6 2 8 23 30 20 7 0 2 7 11 10 7 7 16 25 17 6 5 5 5 5 5 4 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 4 4 4 4 4 4 3 4 4 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 6 7 7 6 6 5 4 5 5 5 4 3 2 3 2 2 2 3 3 2 2 3 3 3 3 2 3 3 4 4 3 4 4 4 5 5 6 6 5 5 4 5 5 5 4 3 3 3 4 3 3 3 4 5 7 8 9 9 9 8 7 6 5 5 2 1 1 5 11 9 2 1 4 5 5 5 5 6 6 7 8 8 8 8 7 6 8 6 2 3 4 4 4 5 6 4 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 7 10 13 15 14 11 9 6 4 4 4 3 3 2 2 1 0 -0 -0 0 2 4 5 6 7 7 7 8 8 7 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 0 1 1 2 2 3 4 3 3 3 3 4 5 5 5 5 6 6 7 7 7 7 6 6 5 4 4 5 5 6 6 5 4 4 4 2 2 2 2 2 4 4 6 7 8 9 9 8 6 5 4 4 4 3 3 2 3 3 4 5 6 5 4 3 1 1 1 1 1 2 1 2 3 4 5 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 6 6 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 5 5 5 5 9 12 10 14 15 12 14 14 11 4 -1 3 9 8 -1 -2 3 6 9 9 9 9 8 8 8 8 8 9 11 13 14 14 15 14 11 4 -1 -1 4 6 3 5 3 2 8 9 8 6 -1 -2 -0 1 4 13 10 6 10 13 10 9 10 8 2 -0 3 8 7 6 4 3 4 2 2 11 15 11 7 1 -3 2 8 6 3 1 4 9 9 7 9 11 14 9 3 -3 10 17 15 12 16 23 21 11 3 0 1 6 10 8 5 8 18 26 17 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 4 3 3 4 4 3 3 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 2 3 3 4 4 5 6 6 5 5 4 4 4 3 3 2 2 2 2 2 2 3 4 3 3 3 4 3 3 3 2 3 4 3 3 4 4 4 5 5 5 5 4 4 3 4 5 5 5 5 4 4 3 3 3 3 3 4 6 8 9 9 9 9 8 7 6 5 3 1 3 6 6 5 4 5 5 5 4 5 5 5 6 6 7 7 8 9 9 8 8 8 5 4 4 4 4 4 5 5 5 4 4 4 4 4 3 2 2 2 3 3 3 3 4 4 4 3 3 4 5 8 12 15 15 14 13 10 7 5 4 3 3 3 3 3 2 1 1 1 1 3 4 5 6 7 7 7 7 7 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 1 1 2 2 4 5 5 4 3 3 3 4 5 5 6 6 6 6 7 7 7 7 7 6 5 4 4 4 4 5 5 4 5 4 4 3 2 2 1 2 4 6 7 7 8 8 9 9 8 5 4 3 2 2 1 1 1 3 4 5 7 7 5 2 1 1 1 1 0 1 1 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 4 4 5 5 4 4 4 5 5 5 5 10 15 14 16 13 7 9 12 11 7 9 14 13 10 7 8 10 10 10 9 8 7 7 7 8 8 7 8 10 13 16 15 15 15 10 4 -0 -0 2 6 9 8 4 1 5 8 8 10 11 6 -2 -2 6 12 6 2 3 4 3 5 5 6 6 5 5 8 10 6 2 2 6 5 6 9 12 10 6 1 1 7 8 6 5 3 4 6 9 10 5 4 7 12 10 -3 5 19 22 19 17 15 8 1 2 -0 -0 5 9 8 5 8 20 25 14 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 3 3 3 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 5 5 4 4 3 3 3 2 2 3 3 4 4 4 4 4 4 4 3 2 2 1 1 2 2 2 2 1 3 4 5 4 5 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 4 3 3 3 3 4 5 6 6 5 5 4 3 2 2 2 3 6 7 9 9 9 9 8 8 7 6 5 4 6 7 4 1 5 7 6 5 4 5 5 5 6 6 6 6 7 8 9 9 9 8 7 6 5 5 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 6 10 13 15 14 14 14 13 10 7 4 3 3 4 3 3 3 3 2 1 2 3 4 5 6 7 6 7 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 3 3 5 5 5 4 3 3 3 4 5 5 6 6 7 7 7 7 7 7 8 6 5 4 4 4 3 4 4 4 4 5 4 4 3 2 2 4 6 7 7 6 6 7 7 7 5 3 2 2 1 -0 -0 0 1 2 4 7 8 7 4 2 1 1 0 -0 0 0 1 2 2 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 5 6 6 7 13 18 17 12 7 5 8 12 15 17 20 16 8 6 8 10 10 8 8 7 7 7 7 7 8 8 8 8 10 13 16 18 16 13 9 5 2 1 2 7 12 12 6 5 7 6 2 6 13 15 7 4 10 5 -3 -1 2 0 2 3 1 8 17 13 4 4 9 6 3 4 7 9 11 14 14 8 2 -2 4 10 9 3 1 5 5 5 13 11 2 1 6 12 14 -0 -6 8 26 24 14 4 -6 -6 1 0 1 8 10 9 6 7 16 24 15 6 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 4 3 3 3 3 3 2 2 3 3 3 4 4 3 3 3 3 2 1 1 1 2 2 3 3 2 2 4 5 5 5 6 6 5 4 4 3 4 4 5 4 4 5 5 5 5 4 4 3 2 2 3 4 5 6 7 6 4 3 2 1 0 0 2 5 6 8 9 9 9 9 8 8 8 8 8 8 6 3 1 4 7 7 5 4 5 5 5 5 5 5 5 6 6 7 8 8 8 8 7 7 6 5 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 4 6 10 12 13 13 13 13 14 12 8 4 3 3 3 3 4 4 4 2 2 3 4 4 5 7 6 6 9 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 3 3 4 5 6 6 5 3 3 4 4 5 5 6 7 7 7 7 7 7 8 7 6 6 4 3 3 3 3 3 4 5 5 5 4 4 4 4 6 8 8 6 5 5 5 4 3 3 2 1 1 -0 -0 0 1 1 3 5 8 9 7 3 1 -0 -1 -1 -0 -0 0 1 2 2 3 4 3 4 4 4 5 5 5 4 4 5 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 7 9 12 18 19 14 7 5 6 9 13 14 18 13 1 -4 2 7 7 6 6 6 6 6 7 7 7 8 8 9 9 10 13 18 19 14 10 8 6 5 3 2 4 10 14 13 12 10 6 4 2 7 11 7 6 16 3 -4 4 4 1 6 6 1 9 21 14 1 2 6 8 10 11 9 9 10 16 18 9 -1 -6 3 11 9 1 3 10 7 9 16 6 -1 7 11 12 13 5 -5 4 28 22 7 -7 -13 -2 5 4 7 11 9 8 7 6 12 25 22 7 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 4 3 4 4 4 4 3 2 2 3 4 4 4 4 5 5 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 4 5 4 4 5 6 6 6 7 6 5 5 4 4 5 5 5 5 5 4 5 5 5 4 4 3 2 2 3 5 6 7 7 5 4 3 2 0 -1 -1 2 4 6 7 8 9 9 9 8 8 8 10 10 7 4 2 3 5 6 6 5 4 4 5 4 4 4 4 4 4 5 5 6 7 7 8 8 8 7 6 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 7 10 11 10 10 11 14 16 13 9 5 3 3 3 4 4 4 3 2 2 3 4 4 6 6 6 7 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 3 2 3 3 4 5 6 6 5 3 3 3 3 4 5 5 6 7 7 7 7 7 7 7 7 7 5 4 4 3 2 3 3 4 5 5 5 5 6 7 9 9 7 5 4 4 3 3 2 2 1 1 0 1 1 2 2 2 3 7 11 10 6 2 -1 -2 -1 -1 -1 -1 0 1 1 2 3 3 3 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 10 15 18 18 14 9 6 5 7 10 10 7 9 -0 -12 -7 2 5 4 4 4 4 4 6 7 8 9 9 9 9 11 13 15 19 17 11 7 7 5 4 4 4 4 5 10 13 14 11 7 5 -0 1 6 8 12 15 2 3 10 4 2 9 9 3 8 13 5 1 6 8 9 14 15 12 10 7 10 13 5 -1 -3 3 10 4 -0 7 11 7 11 12 2 2 10 8 10 12 16 8 16 29 18 -4 -20 -12 13 21 18 18 15 10 7 6 5 11 24 24 9 4 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 4 4 4 4 5 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 3 4 4 4 4 4 4 3 3 3 4 3 3 3 4 3 3 4 3 3 3 2 3 3 3 3 4 4 3 4 5 5 6 6 5 5 6 7 7 7 7 6 6 5 5 5 5 6 5 5 5 5 5 5 5 4 4 3 3 3 4 6 7 8 7 5 4 3 2 0 -0 0 3 5 6 6 7 7 8 8 8 8 8 10 10 6 3 4 5 4 6 6 6 5 5 4 4 4 4 3 3 3 3 4 4 5 6 7 7 8 8 7 6 6 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 5 7 9 10 8 9 12 17 18 15 9 6 4 3 3 4 4 4 3 3 3 3 4 5 6 7 6 8 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 3 3 3 3 4 6 7 7 5 3 2 2 2 3 4 5 6 6 6 6 6 6 7 8 8 8 6 5 3 2 2 3 3 4 4 5 5 5 7 8 9 8 6 4 4 3 3 2 2 2 3 3 3 3 3 3 2 3 5 10 13 10 4 -0 -1 -1 -1 -1 -1 -1 -1 0 1 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 6 6 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 6 6 10 17 18 13 9 7 6 6 8 8 6 4 3 -3 -10 -3 3 3 3 3 3 3 4 5 8 10 11 11 10 11 13 15 17 18 14 7 5 6 3 2 4 7 7 4 3 7 7 7 7 3 -2 -1 0 3 16 9 -2 6 7 1 6 15 9 0 3 4 5 13 15 11 8 9 10 11 10 9 8 7 0 4 5 4 8 3 3 3 -0 4 10 6 3 9 13 8 1 9 21 14 24 28 13 -14 -23 -1 24 33 32 27 18 11 8 6 5 10 23 25 12 4 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 4 5 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 3 3 2 2 2 2 3 3 3 3 4 3 3 3 3 2 2 2 4 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 5 7 8 8 7 6 4 3 2 1 1 3 6 5 5 5 5 6 6 7 9 9 9 11 11 8 5 5 6 6 7 7 7 6 6 5 4 4 3 3 2 2 3 3 4 4 4 5 6 7 8 8 8 8 7 7 6 6 6 6 6 5 6 5 4 4 4 4 4 5 5 5 4 3 3 3 2 3 3 5 8 9 8 8 10 15 20 21 16 10 6 5 4 3 4 5 5 4 3 3 4 5 7 7 7 7 8 8 8 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 3 3 4 6 8 9 7 4 2 2 2 2 2 3 4 4 4 5 5 5 5 6 7 8 7 6 3 3 3 3 3 3 4 4 5 5 5 5 7 7 7 6 5 5 4 4 4 4 5 6 5 4 4 3 3 3 4 8 13 14 8 1 -0 0 0 0 -1 -2 -2 -1 0 1 1 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 5 5 6 6 5 5 5 5 5 4 4 3 4 4 4 6 7 8 15 18 11 8 7 7 7 7 7 4 4 4 -0 -3 1 2 2 3 3 3 3 4 6 9 10 12 13 13 13 13 15 18 16 10 4 4 5 3 1 2 3 9 9 5 5 4 5 5 2 -0 1 -5 -4 9 3 -3 5 4 1 11 21 10 2 -1 -1 11 23 17 8 4 3 5 8 7 7 12 9 1 6 10 7 7 3 -0 -4 -2 5 6 1 4 11 12 8 2 8 15 12 24 27 10 -13 -12 8 21 27 30 26 16 11 9 6 4 8 20 26 15 4 5 6 6 6 5 5 5 5 5 4 4 4 4 5 4 4 4 5 4 4 5 5 5 5 4 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 2 3 3 4 5 5 5 4 3 3 3 4 6 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 6 6 7 6 6 6 6 7 6 7 7 7 7 6 6 6 5 5 5 5 5 4 5 6 8 10 9 7 6 6 5 4 3 2 3 6 8 5 4 5 5 5 6 6 6 8 10 12 13 11 8 6 6 8 9 9 9 9 8 7 6 4 4 3 2 2 2 3 3 4 4 4 5 6 7 8 8 8 8 8 7 7 7 6 7 7 6 5 4 4 5 5 5 5 5 5 4 4 3 2 2 2 3 5 7 8 8 8 9 13 18 21 20 16 11 7 5 4 4 4 5 4 4 3 4 5 7 7 7 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 6 6 6 5 4 4 5 9 11 9 6 4 3 2 2 2 2 2 3 3 3 3 4 3 4 5 6 6 5 4 4 4 4 4 3 4 5 5 5 4 4 4 5 6 6 7 7 7 7 6 6 6 6 6 4 4 4 3 3 4 7 11 14 12 5 2 2 2 1 -0 -1 -2 -2 -1 0 1 1 1 2 2 3 3 4 4 4 4 5 5 4 4 5 5 5 5 6 5 5 6 6 6 6 5 5 5 5 5 6 6 5 5 4 4 4 5 5 6 7 6 11 17 15 10 8 8 7 6 5 3 6 7 2 1 2 2 3 3 3 3 3 4 7 10 11 13 15 15 13 12 15 18 14 7 2 4 5 4 5 4 2 6 6 6 7 6 6 4 2 6 9 6 10 9 -2 -1 2 2 1 12 16 7 9 7 4 12 16 10 6 2 1 5 8 5 5 15 13 4 2 8 8 7 6 1 -0 4 3 -5 -6 2 8 7 2 1 5 3 9 27 29 10 -6 -2 10 14 15 17 16 12 8 7 5 3 8 23 29 15 4 5 6 6 6 6 5 5 5 4 4 4 4 4 5 5 4 4 5 4 4 5 5 5 5 4 3 4 5 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 3 3 2 2 3 4 5 7 8 8 7 6 6 6 6 6 5 3 3 3 3 4 4 4 5 4 5 5 5 5 5 5 5 5 6 5 5 6 5 5 6 6 6 6 6 6 5 5 5 5 6 7 6 6 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 6 7 9 11 13 10 6 5 6 5 5 4 4 6 9 9 6 5 5 5 6 6 6 6 6 8 10 12 10 7 6 6 8 9 9 10 10 10 10 9 7 6 4 2 1 1 2 3 3 3 4 4 5 6 7 7 8 8 8 7 7 7 6 7 7 7 6 5 5 5 6 6 6 6 5 5 4 3 3 3 2 3 5 5 7 9 10 10 11 14 17 19 18 15 11 7 5 4 4 5 4 4 3 3 5 7 8 8 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 9 9 8 7 7 5 4 5 9 11 11 7 5 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 5 6 5 5 4 3 3 4 5 6 8 10 9 8 6 6 5 4 4 4 4 4 4 4 5 9 13 14 9 4 3 3 3 1 -0 -1 -1 -1 -0 1 1 1 0 1 2 3 3 4 4 4 4 4 4 4 5 5 5 6 6 6 5 6 6 6 6 5 5 5 5 5 6 6 6 5 4 4 5 5 6 7 7 6 8 17 20 12 9 8 7 5 0 0 8 8 3 2 2 2 3 3 3 2 3 5 8 10 10 14 16 15 14 14 15 16 12 5 3 4 4 4 9 8 9 2 1 4 7 6 3 1 4 11 12 9 12 14 12 8 2 1 0 7 5 4 9 13 15 18 11 7 7 3 2 7 11 9 5 12 10 1 3 11 10 7 0 -7 4 18 10 -7 -5 3 3 -2 -2 2 4 -1 9 28 29 12 -0 4 11 13 11 11 10 8 6 5 3 3 12 24 21 8 5 7 6 6 6 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 3 4 4 4 4 3 4 3 3 3 4 4 3 4 4 3 3 4 4 4 4 3 2 2 2 3 3 2 2 2 2 3 5 8 12 12 11 8 7 5 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 7 8 10 12 14 14 11 7 6 7 5 5 4 6 9 9 7 6 6 6 6 6 6 6 6 6 7 8 9 8 7 5 5 6 7 8 8 8 10 12 12 12 10 7 4 2 1 1 2 2 3 4 4 4 4 5 6 7 8 8 7 7 7 6 7 7 7 7 6 6 6 7 7 7 6 6 5 5 4 4 3 2 3 4 4 6 8 10 10 10 11 13 15 18 19 15 10 7 5 6 6 4 4 4 3 4 6 8 8 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 10 10 10 10 10 8 7 6 6 7 10 10 8 6 4 4 4 4 4 4 4 4 5 4 3 3 3 4 3 3 3 4 4 4 4 4 5 5 5 6 6 6 5 4 3 4 4 5 7 8 9 7 5 3 3 3 4 4 4 4 4 4 5 7 11 14 13 8 5 4 4 3 1 1 0 0 -0 -0 0 0 -0 0 1 2 3 3 4 4 4 4 3 3 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 5 6 7 7 7 6 5 8 20 23 14 10 8 7 4 -5 -5 3 5 2 1 2 2 3 3 2 3 4 7 8 9 12 16 15 16 18 16 13 12 9 5 4 4 3 3 3 7 10 4 0 5 7 5 1 0 5 7 5 5 5 12 21 18 9 3 0 2 1 3 7 14 16 19 14 11 6 2 5 11 15 11 5 4 -0 -2 8 13 10 4 -10 -14 9 30 17 0 0 3 -5 -8 0 4 1 2 13 24 23 12 6 9 13 13 12 10 8 7 7 5 2 3 10 15 10 6 11 14 9 6 6 6 6 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 3 4 3 3 4 3 3 3 3 3 4 4 4 4 4 3 3 2 2 2 3 3 2 1 1 1 1 2 5 10 14 14 11 8 5 4 3 3 4 4 4 5 5 5 5 6 6 5 5 6 6 6 6 6 6 6 6 6 7 7 6 7 6 6 6 6 6 6 6 6 6 7 6 7 7 7 7 8 8 8 7 7 6 6 5 5 5 5 6 7 9 12 15 16 15 11 9 9 8 7 5 3 3 5 7 7 6 6 6 6 7 7 7 6 6 6 6 7 7 8 7 6 5 4 5 6 6 7 10 12 14 14 13 10 6 4 2 1 1 2 3 3 3 3 3 4 6 7 7 6 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 5 5 5 4 3 3 3 3 4 6 8 9 10 11 11 12 15 18 17 13 9 7 7 6 5 4 4 3 4 5 7 7 6 6 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 8 8 9 10 10 10 8 7 6 6 8 9 9 7 5 4 4 4 5 5 5 5 6 6 5 4 4 4 4 4 4 4 3 3 3 4 4 4 5 6 6 6 6 5 4 4 4 4 5 6 7 6 4 2 2 2 3 4 4 4 4 5 6 7 9 14 15 12 8 5 5 4 3 1 1 1 1 0 -0 -0 -0 0 1 1 2 3 3 4 4 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 6 5 5 6 6 6 6 5 5 6 7 8 8 6 5 5 10 22 22 14 11 8 7 2 -3 -0 1 2 1 1 2 3 3 3 3 3 5 6 7 12 18 14 13 21 21 14 10 10 8 6 5 4 2 -3 -2 6 7 5 3 5 6 5 3 6 7 4 9 8 -1 4 16 15 10 5 2 2 3 5 8 13 9 6 12 12 7 6 10 14 15 10 5 3 -0 1 6 7 9 7 -3 -3 16 25 11 2 -1 -3 -6 -4 3 3 1 7 15 16 12 11 11 13 14 12 10 8 6 7 8 5 2 3 7 8 7 8 16 23 16 6 6 6 6 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 4 5 4 3 4 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 2 2 2 3 3 3 2 1 1 0 0 2 6 10 12 11 9 7 4 3 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 7 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 7 6 6 6 7 7 7 7 8 8 7 7 6 6 5 5 6 6 7 9 11 13 16 17 16 13 9 8 9 9 8 6 3 -0 1 4 7 7 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 9 11 12 13 14 15 14 10 7 4 2 1 1 2 3 4 4 3 4 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 5 4 3 2 2 2 2 5 8 9 10 11 11 12 15 18 16 12 9 7 6 5 4 4 4 4 5 7 7 6 5 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 6 7 8 9 9 9 8 7 7 7 8 8 7 5 4 4 4 5 5 4 5 5 6 6 6 5 6 5 5 5 4 3 3 3 4 4 4 5 5 5 6 6 6 6 4 4 4 5 5 6 5 3 2 2 2 3 3 4 4 5 5 6 7 8 11 15 15 11 7 5 4 3 2 1 1 1 -0 -1 0 1 0 0 0 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 7 6 6 7 7 9 8 7 6 5 7 14 23 22 14 9 6 6 5 12 22 11 3 0 1 2 3 3 3 3 4 5 6 10 19 21 13 15 23 18 12 11 9 8 5 2 1 1 1 3 7 9 8 6 4 4 4 3 9 9 11 23 11 -4 7 15 7 4 5 5 4 4 8 11 8 4 -2 2 3 8 10 12 14 13 10 7 6 6 10 11 6 8 10 4 4 12 12 7 3 -0 -5 -2 3 7 6 7 12 14 8 4 8 13 15 14 11 9 6 4 7 8 5 1 3 6 7 7 8 16 27 21 7 5 6 6 5 4 4 5 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 2 2 2 2 3 3 3 2 2 0 0 2 4 6 8 8 8 7 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 5 6 6 7 8 10 12 14 15 15 14 10 6 6 8 8 8 8 7 5 1 1 4 7 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 5 7 9 12 13 12 13 15 16 14 10 7 5 2 1 1 2 4 4 3 3 3 4 5 5 5 5 5 4 4 4 3 3 3 4 5 6 6 6 7 7 7 7 7 7 6 5 4 3 2 2 2 3 6 8 9 11 11 12 13 17 18 15 10 6 4 4 4 4 3 4 6 8 9 7 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 5 5 6 8 9 9 8 8 8 7 7 8 8 7 5 4 4 4 5 5 4 5 5 6 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 6 6 6 5 4 4 4 5 5 5 4 2 2 3 3 3 4 4 4 5 6 6 7 9 13 16 14 11 6 4 2 2 1 1 0 -0 -0 0 2 1 -1 -1 1 2 3 3 3 2 3 2 2 3 3 3 2 3 3 4 4 4 4 5 5 5 5 6 6 6 6 7 8 9 9 7 6 6 7 10 18 25 21 12 7 7 10 12 20 22 10 1 -0 1 2 2 3 3 3 4 5 8 16 22 18 12 14 17 17 15 12 10 8 5 1 1 3 7 7 9 9 9 7 5 2 2 2 6 10 17 27 10 1 10 8 0 3 7 7 5 3 7 8 2 1 -1 -3 -1 6 9 11 14 14 12 8 4 5 11 12 6 2 4 4 4 3 4 4 5 7 2 3 7 9 9 9 11 9 2 2 9 13 17 15 11 8 5 4 7 7 4 2 3 6 7 7 8 15 26 22 9 5 6 6 6 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 3 2 2 2 3 3 3 4 4 2 1 0 1 3 4 6 7 7 6 5 5 6 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 6 7 8 8 7 7 7 7 7 6 6 6 7 8 10 11 13 15 15 13 8 4 1 1 5 7 7 7 7 7 6 4 1 3 6 5 5 5 5 6 5 5 5 5 6 6 5 4 4 4 5 6 6 6 7 6 6 9 11 12 13 14 16 15 13 9 6 3 2 1 2 3 4 5 4 4 3 3 4 4 4 4 4 3 3 2 1 1 2 3 4 5 6 6 6 6 7 7 7 7 6 5 4 3 3 2 2 3 5 8 9 11 11 11 13 17 18 12 5 3 4 4 3 3 4 7 10 12 11 8 6 4 3 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 5 7 8 9 8 8 8 8 7 7 8 8 8 7 6 5 4 5 5 5 5 4 5 4 4 5 6 6 6 6 5 5 5 4 4 3 4 4 4 4 5 5 5 4 4 4 5 6 6 5 4 3 3 3 3 3 3 4 4 5 6 6 7 9 13 15 14 10 6 4 2 1 1 1 0 0 2 3 2 -1 -1 0 1 3 3 3 3 2 2 3 3 3 2 2 2 3 3 3 3 4 4 4 5 5 5 6 6 7 8 9 8 7 6 5 7 10 15 25 28 19 8 5 9 15 11 7 3 0 -1 -0 1 2 2 3 3 4 4 5 9 18 19 12 10 10 10 16 17 15 12 7 3 3 6 6 5 4 6 6 5 4 6 5 1 1 3 10 15 14 7 11 8 -0 0 6 9 8 5 3 4 4 -2 -2 1 1 4 6 11 12 12 13 10 5 1 3 8 9 3 -1 1 6 6 -2 -1 3 6 9 8 8 9 8 10 9 7 2 0 6 10 12 14 15 13 9 5 6 7 5 2 2 4 6 7 7 7 14 25 24 10 5 6 6 6 6 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 2 2 3 3 3 4 4 4 2 1 0 2 4 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 6 6 7 6 7 7 6 7 6 6 6 6 6 6 6 6 5 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 8 10 11 14 15 16 15 13 10 4 1 1 3 5 6 7 7 7 7 7 5 -1 3 6 5 5 5 5 5 5 5 5 5 5 6 5 4 4 4 4 5 5 6 9 7 3 6 10 12 13 15 15 15 13 10 7 5 4 4 5 7 8 10 10 8 6 3 3 4 3 3 3 4 4 2 1 0 1 3 4 5 6 6 6 6 6 6 7 7 7 7 5 4 4 3 2 2 3 5 7 9 10 10 11 15 17 14 9 6 5 4 2 1 2 5 9 13 13 11 8 5 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 4 5 7 8 8 8 8 8 8 8 9 10 11 11 9 7 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 3 3 3 3 3 4 4 4 4 4 4 6 7 6 5 3 3 3 3 3 3 3 4 4 5 6 6 7 9 12 14 13 10 6 4 3 2 1 1 2 3 4 2 -1 -3 -0 2 3 4 3 3 2 2 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 5 6 6 8 9 9 8 6 5 7 11 17 26 36 31 15 4 1 4 8 2 -5 -4 -2 -1 -0 0 1 2 3 4 4 5 5 9 16 16 11 9 7 6 9 12 14 13 3 0 8 10 7 5 5 8 6 2 0 2 5 2 2 4 10 11 -0 -1 6 3 1 3 8 9 7 4 2 2 1 -3 -5 -2 2 7 10 12 11 9 11 4 -2 -1 3 8 8 4 1 2 6 5 -1 -2 4 8 7 7 8 9 10 10 9 5 2 5 10 9 9 11 13 13 10 7 7 6 4 2 3 5 6 7 6 8 17 27 24 10 4 5 6 7 7 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 4 4 4 4 3 1 2 4 6 6 5 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 5 5 5 5 6 5 6 6 7 8 8 8 8 8 8 7 7 7 8 9 10 12 14 16 17 18 16 13 10 9 8 6 5 6 6 7 8 8 7 8 9 7 1 2 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 7 7 4 6 8 11 14 15 15 13 12 9 7 6 6 8 10 12 14 16 16 13 8 4 4 4 4 4 5 6 6 5 3 2 1 2 4 5 6 6 6 6 5 5 6 6 7 7 7 6 5 4 4 3 3 3 4 6 8 9 9 12 15 15 13 11 8 6 4 1 1 3 7 11 13 12 9 5 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 3 3 3 5 6 7 8 9 9 9 10 10 10 11 12 12 11 8 7 6 5 5 5 5 5 5 4 4 4 5 6 7 6 6 7 6 4 3 3 3 3 3 3 4 4 4 4 5 6 7 6 5 4 4 3 3 4 3 3 4 4 5 6 6 6 6 8 10 12 12 10 9 7 5 4 3 3 5 5 2 -1 -2 -0 2 4 3 3 2 2 2 2 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 6 7 8 9 8 6 5 7 13 22 29 36 38 26 10 1 -5 -8 -6 -7 -6 -3 -1 -1 -0 1 1 2 4 4 4 5 5 7 12 14 13 11 9 8 6 5 8 10 5 2 10 11 12 6 6 9 9 8 5 0 1 2 6 11 11 7 1 2 3 -1 0 4 10 10 4 1 1 2 0 -3 -5 -4 3 9 11 10 6 7 9 4 7 6 4 5 6 4 3 4 6 7 7 3 7 11 9 5 7 10 7 10 9 5 9 17 14 8 8 9 10 12 11 9 8 7 5 4 4 5 6 6 6 12 24 29 18 6 4 5 6 7 7 7 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 4 4 3 2 3 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 8 8 9 8 8 8 7 7 7 9 10 11 14 15 17 18 18 17 13 9 8 9 11 9 8 7 7 7 8 8 9 9 9 8 5 2 2 4 5 5 6 6 6 6 5 5 5 5 6 5 4 3 3 3 3 4 5 5 4 5 7 10 13 14 14 13 12 11 8 7 9 11 12 14 16 19 21 19 11 6 6 5 4 4 5 7 8 8 6 5 3 3 5 5 6 6 6 6 5 5 4 5 6 7 7 7 6 6 6 5 4 2 2 3 5 6 7 8 10 12 15 14 12 12 9 6 4 5 7 9 11 12 10 7 3 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 4 4 3 2 2 3 5 6 8 9 10 10 10 9 10 11 12 12 12 10 9 7 5 5 5 5 5 5 4 5 6 6 6 7 7 7 7 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 5 4 4 4 4 4 4 3 3 4 5 6 6 6 5 5 6 8 10 11 11 10 9 8 6 6 7 5 2 -0 -2 0 3 4 4 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 7 8 8 7 5 6 13 25 33 33 29 24 17 8 2 -6 -8 -9 -8 -4 -3 -2 -1 1 1 2 3 4 5 5 6 6 7 9 13 16 15 13 13 10 5 4 10 10 5 7 13 14 6 5 6 9 7 9 7 2 1 5 10 7 2 9 14 14 5 1 3 10 10 4 1 4 6 5 3 3 2 3 8 12 5 2 7 4 8 20 11 4 4 5 3 2 4 7 9 10 5 5 8 11 8 7 9 7 9 5 4 14 22 15 9 9 10 10 10 12 11 9 8 6 5 4 5 6 6 7 17 30 25 9 3 4 5 6 7 7 7 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 5 4 4 4 5 6 6 6 5 4 4 3 3 3 2 3 4 4 4 3 4 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 5 6 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 8 8 7 7 7 7 8 10 13 15 17 18 18 18 16 13 9 5 5 7 9 9 7 7 7 7 7 8 9 9 9 8 3 0 3 5 5 5 6 6 6 6 6 5 4 5 6 6 5 4 3 3 2 3 7 10 2 -1 6 9 11 13 12 12 13 11 10 9 9 10 11 14 16 18 20 19 13 10 7 5 4 3 5 5 7 8 9 7 6 5 5 6 5 5 5 5 5 4 4 4 5 6 6 7 7 6 6 6 5 3 2 2 4 4 5 5 5 7 10 13 15 17 19 17 13 9 7 8 11 12 11 8 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 6 3 1 1 2 3 5 7 8 10 10 9 9 9 10 11 13 13 12 10 7 5 4 5 5 6 5 5 5 6 6 7 7 7 7 6 6 8 9 9 9 8 7 6 5 4 5 6 6 6 5 5 5 5 6 5 5 4 3 4 4 5 6 6 6 5 5 5 7 9 11 11 12 12 11 9 8 7 4 1 0 1 4 4 4 2 2 2 2 2 2 2 2 3 3 3 3 3 4 3 3 4 4 5 6 7 7 8 8 6 5 11 22 31 33 26 14 7 4 4 7 6 3 -3 -4 -3 -2 -2 -0 1 2 3 4 5 6 6 7 7 7 10 17 19 15 12 14 13 9 6 8 8 5 3 10 9 7 3 3 4 4 14 15 5 1 3 4 0 3 12 13 8 12 7 4 6 9 5 3 8 12 10 11 13 10 3 4 9 -1 -2 9 1 7 13 9 8 7 8 6 4 6 8 5 3 1 3 7 10 11 7 5 16 11 4 7 16 17 12 9 9 11 11 11 12 12 10 7 5 4 4 5 6 6 11 23 31 20 6 3 4 6 6 7 7 7 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 5 5 5 5 6 5 4 4 4 4 5 5 5 5 5 4 5 5 6 6 6 6 5 5 4 4 3 3 3 3 4 4 4 4 5 6 6 5 5 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 8 8 9 9 8 7 7 7 7 7 7 9 11 13 15 17 17 17 16 15 13 9 5 1 -1 2 6 7 6 5 5 5 6 7 9 9 9 9 2 -5 0 5 5 5 6 6 6 7 7 4 2 3 4 4 3 4 4 3 2 3 6 12 4 -3 4 8 10 11 11 10 10 9 8 8 9 8 9 12 15 16 15 13 12 10 6 4 4 4 3 4 5 6 7 8 8 7 6 6 5 4 4 5 5 5 3 3 4 5 5 6 6 6 6 6 6 5 4 3 3 4 4 4 3 4 6 9 13 18 26 31 26 15 6 5 8 11 12 10 8 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 10 12 10 5 1 -0 -0 1 3 4 6 7 8 9 9 9 9 9 11 12 12 12 11 8 6 5 5 6 5 5 5 6 6 7 7 7 6 7 8 10 11 13 12 9 7 6 6 7 7 8 7 6 5 5 5 6 7 6 5 4 4 4 4 5 6 6 5 5 5 5 6 8 9 11 12 13 13 11 9 8 6 4 3 4 5 4 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 6 7 8 8 9 7 5 8 16 22 24 27 24 13 1 -0 9 15 14 6 -3 -4 -2 -1 -0 1 2 3 3 4 6 6 7 7 9 11 15 21 19 12 9 11 14 14 10 6 5 4 4 6 6 9 4 3 2 3 7 8 1 3 7 6 1 3 5 6 4 12 11 4 5 8 5 3 9 12 11 12 15 13 4 1 3 -4 -3 5 -2 5 3 5 8 6 10 11 6 5 7 5 1 1 8 13 13 9 7 6 11 6 8 15 16 12 9 9 9 10 11 12 11 11 8 5 2 2 5 7 7 7 14 27 29 15 4 3 5 6 7 7 7 7 6 6 5 5 5 5 5 5 4 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 5 5 5 4 5 5 6 6 6 5 5 4 4 4 3 4 4 5 5 4 5 5 6 6 5 5 6 6 6 5 5 5 6 5 5 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 7 8 8 8 9 8 8 7 7 7 7 7 8 9 11 14 15 17 17 16 14 13 11 9 7 6 3 -2 -0 5 7 6 6 4 4 5 7 8 9 10 9 4 -5 -4 4 6 6 6 6 6 6 9 8 4 3 2 2 2 1 2 4 3 4 4 4 4 1 4 7 9 10 10 9 8 7 7 7 7 8 8 10 12 14 12 10 9 7 4 3 4 5 4 3 4 4 5 6 7 8 7 6 5 3 4 4 4 4 4 3 3 4 5 6 6 6 6 6 6 6 4 3 3 3 4 3 3 3 4 6 9 14 24 32 30 18 7 4 6 8 10 10 10 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 9 11 12 7 2 1 0 0 1 2 3 4 6 6 7 7 7 8 9 9 10 12 12 10 9 8 7 6 5 4 4 5 6 6 6 6 6 7 8 9 10 11 10 7 6 6 7 8 9 9 8 6 5 5 5 7 8 7 5 4 3 4 4 5 5 5 5 5 5 6 7 7 8 10 11 12 12 10 9 8 9 8 7 6 5 5 4 3 3 2 2 2 2 1 2 2 2 2 3 4 4 5 5 4 6 8 9 10 11 10 7 7 12 13 12 14 23 26 18 9 9 14 13 4 -4 -9 -6 -1 1 3 2 2 3 4 5 6 7 8 12 15 16 19 19 14 13 11 10 13 15 12 8 7 7 5 6 7 3 -0 0 1 4 0 -2 -3 3 11 10 3 0 2 9 14 12 8 2 3 7 5 4 7 8 9 10 13 15 9 3 2 -0 2 1 -2 4 -0 2 3 3 10 12 9 7 6 6 4 5 10 12 16 12 6 10 1 -0 13 16 13 9 8 9 9 10 10 11 10 9 6 2 1 3 7 9 8 7 13 25 26 12 3 5 6 7 7 7 7 6 6 6 5 5 6 5 5 5 4 3 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 5 4 5 5 5 5 5 4 4 4 4 5 5 6 6 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 4 4 4 4 5 6 6 7 8 9 9 8 8 8 7 7 7 8 8 9 10 12 14 16 16 16 16 14 12 9 8 6 5 6 10 8 4 5 7 7 7 6 5 7 11 12 9 8 9 5 -1 -2 3 7 6 6 6 6 6 7 10 10 8 6 5 6 3 2 4 4 4 5 1 0 3 4 5 6 9 10 9 7 7 6 6 7 8 8 9 11 12 11 10 9 8 7 8 9 9 7 5 4 3 3 4 4 6 7 6 4 3 3 3 4 4 4 3 3 3 4 5 5 6 6 6 6 6 5 4 3 4 4 3 3 2 3 4 7 10 16 21 22 15 8 6 6 8 9 9 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 8 9 7 4 3 3 2 1 1 2 2 3 4 5 5 6 7 7 8 9 10 11 11 11 10 10 8 7 5 4 4 5 6 5 5 6 7 7 7 6 6 5 5 5 5 7 8 10 9 8 6 5 4 6 8 8 7 5 4 3 4 4 5 5 5 5 5 5 5 6 7 7 8 9 10 9 8 8 8 9 10 10 7 6 5 4 3 3 3 3 3 2 2 2 2 2 2 2 3 4 4 4 6 9 11 12 15 16 12 6 5 11 11 7 11 19 21 17 17 12 6 -6 -12 -14 -10 -4 1 3 3 2 2 3 6 7 7 7 11 18 18 14 13 12 11 16 13 9 11 12 11 11 9 6 3 6 6 -3 -2 1 2 4 3 2 -1 0 9 7 2 0 1 6 10 5 5 1 -0 5 6 6 5 6 10 9 12 16 14 10 9 8 4 -0 8 13 5 1 1 3 11 10 10 11 8 7 5 2 1 6 13 13 8 8 1 5 20 17 11 7 8 9 10 10 10 10 9 6 4 2 3 4 7 10 9 7 11 23 26 13 4 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 5 6 7 9 9 9 9 8 7 6 7 8 8 9 9 11 12 15 16 16 15 14 14 12 10 8 6 3 -2 -2 7 12 9 7 6 7 8 7 3 5 13 18 13 8 7 3 -0 1 6 7 7 6 6 6 6 6 8 9 9 9 7 7 7 5 5 5 5 4 2 1 2 4 4 4 7 8 8 7 6 5 5 6 7 8 8 9 9 9 10 10 10 12 16 19 18 13 9 6 6 5 4 4 6 7 7 6 5 3 2 3 3 3 3 3 3 4 4 5 5 5 6 7 7 6 5 4 4 4 3 3 2 2 4 6 9 11 11 13 10 8 7 8 9 9 9 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 6 7 7 6 6 6 5 3 2 2 2 2 3 3 3 4 4 6 7 7 9 10 11 11 12 13 12 10 7 5 4 4 5 5 5 6 6 5 4 4 3 4 5 6 6 7 8 9 9 8 6 4 4 6 8 9 7 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 5 6 7 9 9 8 6 5 4 4 3 4 4 3 3 2 2 2 2 2 2 2 3 3 5 9 13 15 16 16 14 10 3 0 7 10 6 8 13 14 14 15 4 -11 -22 -20 -13 -6 1 3 3 2 2 3 4 6 8 9 11 16 19 14 9 7 7 8 10 7 6 9 7 11 11 7 4 7 12 8 2 4 8 6 2 4 8 4 -1 6 4 0 -0 -0 -2 -4 -0 5 3 1 5 5 4 5 7 11 9 11 16 17 16 16 11 2 3 16 16 6 1 -0 7 15 8 4 8 9 8 3 -6 -6 5 7 10 12 13 10 13 19 16 10 7 8 9 10 10 10 10 9 5 4 3 3 4 7 9 9 6 9 21 27 15 7 8 8 7 6 6 7 6 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 5 5 6 5 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 4 3 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 4 5 5 5 6 6 7 8 9 10 9 7 6 6 6 7 8 10 11 11 12 15 17 16 15 13 12 11 10 9 8 6 2 -5 -9 -4 6 9 7 6 7 8 6 0 -3 5 17 17 10 5 1 -1 3 7 7 7 7 6 6 6 6 7 7 8 7 7 6 6 5 6 6 6 4 3 2 2 3 3 4 5 7 7 6 5 5 5 5 6 7 7 8 7 6 7 8 9 12 17 20 19 17 14 12 11 12 12 12 12 9 8 8 7 5 3 3 3 3 3 3 3 4 4 4 4 4 6 7 7 7 6 4 3 3 3 4 3 2 2 5 6 7 10 9 7 6 6 8 9 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 5 6 6 7 7 7 7 6 5 4 3 3 3 2 2 2 2 4 5 6 8 9 10 11 12 13 15 13 11 8 5 3 4 4 5 5 5 5 4 3 4 5 6 6 6 7 7 7 8 7 6 5 5 6 7 9 8 6 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 5 5 5 6 7 8 8 7 6 5 5 4 4 3 3 2 2 2 2 2 2 2 2 2 3 7 16 22 20 14 9 6 5 3 1 4 5 1 0 2 3 6 -1 -18 -29 -26 -16 -7 -1 2 2 1 1 2 4 5 7 11 15 17 18 15 10 9 10 10 7 4 1 1 6 5 10 10 6 3 10 17 13 6 5 7 9 9 8 11 8 2 7 3 -0 2 4 3 0 0 4 7 7 7 4 1 5 9 9 8 6 11 15 15 16 11 5 10 12 3 -4 -3 2 13 15 6 -4 -0 6 8 4 0 1 5 4 5 11 19 24 21 14 12 9 7 7 9 9 9 9 9 7 4 4 4 3 4 7 9 8 7 12 23 26 16 9 9 9 7 5 6 6 6 6 5 5 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 5 6 6 6 5 5 6 6 5 4 3 4 4 4 4 4 5 6 6 4 3 3 4 5 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 7 6 6 6 6 5 5 5 4 4 4 5 5 5 6 7 8 9 9 9 7 6 5 5 6 7 8 10 11 11 13 17 18 16 13 10 9 8 8 7 5 4 2 -1 -3 -2 3 6 6 5 6 6 5 -1 -8 -5 8 14 10 3 -1 -0 4 7 7 7 7 6 6 6 6 7 8 7 7 6 6 6 6 6 6 7 6 5 3 2 2 2 3 4 5 6 6 5 4 4 4 5 5 6 7 6 6 6 5 6 8 10 13 15 17 17 16 16 20 22 24 19 13 10 7 7 9 8 6 5 5 4 4 3 4 4 4 4 4 5 6 7 7 7 5 3 2 4 4 4 2 2 3 4 5 7 8 6 5 6 6 7 7 7 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 5 5 6 6 6 6 7 8 8 7 7 6 4 3 2 1 1 3 4 5 6 8 9 10 11 12 13 14 12 11 8 6 5 4 4 5 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 5 5 6 7 9 8 6 4 3 4 5 5 5 6 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 7 6 5 5 4 4 3 2 2 2 2 2 2 2 2 2 4 13 23 24 17 7 -0 -1 2 4 4 3 4 3 -2 -5 -7 -11 -23 -30 -29 -17 -7 -2 1 1 0 -0 1 3 4 7 12 17 19 16 11 7 7 10 15 14 11 7 3 -0 2 7 11 9 7 5 7 11 7 6 8 7 8 9 10 11 9 7 7 3 2 9 9 7 5 2 4 7 8 6 2 1 7 11 10 9 0 3 9 9 9 11 13 15 9 1 -2 -2 2 13 13 5 -3 -2 3 8 10 9 8 7 6 7 12 20 23 18 12 10 8 6 6 8 10 9 8 8 6 4 4 4 4 5 7 9 8 8 16 25 22 13 9 9 8 7 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 5 5 6 6 5 4 5 5 5 4 3 3 4 5 5 4 4 5 6 5 4 3 3 4 4 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 6 6 6 7 8 9 9 7 6 5 5 5 6 7 9 10 10 11 14 17 17 14 10 8 7 6 5 4 2 2 1 4 6 4 5 5 5 5 5 5 5 1 -4 -4 2 8 8 2 -2 0 5 6 7 7 7 6 6 6 6 7 8 8 7 7 6 6 7 6 6 7 7 7 5 4 3 2 3 3 3 5 6 6 5 4 4 4 4 4 5 5 5 5 6 6 5 6 7 10 13 14 14 15 18 22 24 19 16 13 10 8 8 9 9 9 8 7 5 4 3 3 3 3 4 3 4 6 7 7 6 4 2 3 4 4 3 2 2 2 3 4 5 5 5 5 7 6 6 5 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 7 7 6 6 6 6 7 8 9 10 11 11 10 9 6 4 2 2 2 3 5 6 6 8 8 8 10 12 12 11 11 11 10 8 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 7 8 8 6 4 3 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 5 5 6 7 7 7 7 8 8 7 7 6 5 4 4 3 3 2 3 3 3 3 3 2 3 9 19 20 15 12 5 -1 -1 2 2 -2 3 15 18 10 2 -2 -10 -20 -20 -15 -7 -2 -0 -1 -2 -2 -0 2 4 7 12 19 21 16 9 5 5 7 11 15 16 15 12 10 4 1 9 14 10 7 6 6 8 6 9 12 8 6 6 10 11 9 10 6 4 7 12 8 4 4 5 5 6 5 3 0 3 8 12 10 3 -2 7 10 4 3 8 12 11 9 11 10 2 -4 8 15 10 8 1 1 8 13 11 10 12 13 14 16 18 16 11 10 9 7 5 6 7 9 9 8 7 5 3 3 4 5 5 6 8 8 9 15 22 20 12 9 9 8 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 5 5 6 6 5 5 4 4 5 5 4 4 4 4 5 5 4 4 5 5 4 4 3 4 4 4 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 5 6 6 6 6 7 8 8 7 6 5 5 5 5 6 7 9 9 9 12 16 18 16 12 9 7 6 5 4 2 2 2 2 6 7 6 6 6 5 5 5 5 5 5 4 2 3 6 4 -0 -1 3 6 6 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 5 4 3 2 2 3 5 5 5 4 4 3 3 3 3 4 4 5 5 6 6 5 5 7 8 9 9 10 11 14 13 14 16 16 15 13 10 8 9 11 12 13 11 8 5 4 4 3 3 4 4 5 6 7 6 4 2 2 3 4 4 3 2 2 2 2 3 4 5 5 6 6 6 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 8 8 8 8 9 10 11 11 10 10 11 13 12 9 7 5 4 3 4 4 5 6 7 7 7 9 12 11 9 9 12 14 12 8 7 7 6 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 7 6 7 8 6 4 3 3 4 4 4 4 5 6 6 6 7 7 6 6 5 4 4 5 5 6 6 7 8 8 7 7 7 7 6 5 4 4 4 4 4 4 5 4 3 3 9 20 22 13 8 9 5 2 5 5 -2 -7 9 21 25 18 8 4 -0 -8 -10 -6 -5 -4 -3 -3 -3 -1 2 5 6 11 19 23 18 11 8 7 6 9 12 13 14 15 13 12 9 5 8 11 8 5 6 9 8 6 5 5 5 6 8 13 11 8 11 7 5 8 10 8 3 2 2 3 5 5 3 -0 3 8 11 7 -5 0 15 12 7 3 3 3 5 9 13 8 -2 1 11 11 11 12 3 1 6 8 9 10 13 16 19 20 15 10 8 9 9 6 5 5 7 7 7 8 8 4 3 3 4 5 5 6 6 7 8 12 18 22 18 11 8 8 7 5 5 6 6 7 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 5 5 4 5 4 5 5 5 4 4 5 5 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 6 6 6 6 7 7 7 6 6 5 4 4 5 5 6 7 7 8 9 13 16 17 14 10 7 5 5 4 3 3 4 6 7 7 6 6 6 6 5 5 5 6 6 5 5 5 4 5 2 -1 0 5 6 6 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 9 8 8 6 5 3 2 2 3 4 5 5 5 4 3 3 3 3 4 4 4 5 5 5 4 4 5 5 6 7 8 9 8 10 13 16 17 17 16 14 13 14 16 17 18 17 14 12 8 5 4 5 5 5 5 6 7 5 3 2 2 2 4 4 2 2 3 3 3 4 5 5 5 6 7 5 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 8 9 10 11 13 15 15 11 6 4 7 10 10 8 8 8 7 6 5 5 4 5 7 7 7 9 11 11 8 6 8 12 12 9 7 7 7 7 7 7 7 6 6 5 5 6 6 6 5 5 6 7 7 7 6 6 7 6 5 3 3 3 4 4 4 5 5 6 6 8 8 7 6 4 4 4 4 5 5 6 6 7 7 7 7 8 8 8 7 6 6 6 6 6 5 5 5 6 10 19 23 17 8 5 2 1 7 11 6 -5 -8 12 16 18 15 -1 -10 -12 -13 -11 -8 -8 -6 -4 -2 1 3 6 8 9 14 22 21 15 11 11 11 8 8 10 9 13 15 11 11 10 4 6 7 6 3 6 8 3 2 1 2 3 8 11 11 8 7 12 9 9 8 8 9 6 4 2 3 5 6 6 4 3 5 10 8 -1 7 13 13 13 7 6 7 8 9 8 1 -6 8 15 4 2 7 4 2 5 5 6 8 10 14 18 18 13 9 8 8 7 6 5 6 7 6 6 8 8 6 3 2 3 4 6 5 5 6 7 9 15 24 25 14 7 7 7 6 5 5 6 7 6 6 5 5 5 5 5 6 6 6 5 5 5 4 4 5 5 5 5 5 6 5 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 3 3 4 4 4 4 5 4 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 6 7 6 6 6 6 6 5 5 4 4 4 4 5 5 6 6 7 9 13 17 17 13 8 5 4 3 2 2 1 2 9 13 9 6 6 6 6 6 6 6 5 5 5 4 4 4 4 -1 -3 1 6 6 7 8 7 7 6 6 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 9 10 9 9 7 5 3 2 2 3 5 6 6 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 8 8 8 8 9 12 14 15 17 18 17 17 19 22 24 27 27 22 16 12 9 8 7 5 5 6 7 6 4 3 2 3 3 3 3 4 4 4 4 5 5 5 5 6 7 6 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 6 6 7 8 10 14 18 16 8 2 1 3 6 6 6 6 8 9 8 7 6 5 5 6 7 8 8 9 10 8 5 4 6 8 8 7 7 7 7 6 6 6 5 5 5 5 6 7 6 6 5 6 7 8 7 6 5 6 6 5 4 4 4 3 4 5 5 5 5 5 6 7 6 6 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 7 8 7 7 8 8 7 6 7 12 18 17 9 3 1 -2 -2 4 14 15 7 -4 -5 2 6 8 5 -17 -27 -26 -19 -12 -7 -5 -2 1 4 7 9 11 12 13 17 21 17 12 12 15 14 9 5 4 5 14 16 11 9 8 3 3 6 8 6 7 6 -0 0 3 4 4 10 11 8 7 7 9 11 13 9 8 9 7 6 5 5 4 4 8 10 5 2 6 7 4 5 5 13 11 6 11 14 14 11 6 -1 0 14 13 3 -3 4 4 1 3 5 6 6 7 11 14 13 11 10 10 9 7 6 6 6 7 6 6 8 8 7 4 1 2 4 6 5 5 5 6 7 13 26 29 15 6 6 7 6 5 6 6 6 6 6 6 6 5 5 6 6 7 6 6 5 5 4 5 5 5 4 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 3 4 5 4 4 4 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 4 4 5 6 6 5 6 5 5 5 5 4 4 3 4 4 4 5 5 5 6 8 13 17 17 13 8 5 4 4 3 1 -0 -4 3 12 10 6 5 5 5 5 5 5 4 3 3 3 3 5 5 2 -2 2 6 7 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 8 7 7 7 8 9 9 10 10 10 8 6 4 4 4 4 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 4 4 5 6 7 7 8 8 8 9 11 13 14 15 16 18 21 25 29 30 25 18 16 16 15 14 11 8 7 6 6 5 4 4 3 2 3 3 4 4 4 5 6 6 5 5 6 7 7 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 9 8 7 6 5 6 7 11 15 14 7 3 3 3 5 5 5 5 7 8 9 8 6 5 5 6 8 8 8 8 9 8 5 2 3 5 6 6 6 6 5 5 5 5 5 6 5 5 5 6 6 6 6 6 7 7 7 6 5 5 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 7 7 10 9 1 -6 -7 -9 -6 6 13 18 14 7 1 -5 -9 1 5 -6 -20 -21 -16 -11 -5 0 3 6 9 11 13 15 17 20 20 21 19 13 9 9 10 11 8 4 2 7 15 15 13 11 11 8 3 3 6 7 8 5 1 0 3 3 4 10 6 4 6 6 7 11 12 10 10 10 8 5 5 4 3 3 7 9 6 4 4 3 4 5 6 11 4 5 13 17 18 16 7 2 11 17 9 2 2 7 4 0 5 7 6 4 5 9 10 9 8 10 11 10 8 7 6 6 6 5 6 8 10 9 6 3 2 3 5 5 5 4 6 7 16 28 28 14 4 4 6 7 5 5 6 6 6 5 6 6 5 6 6 7 7 6 5 5 5 5 5 5 4 4 5 6 6 5 5 4 4 4 4 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 3 3 4 4 5 5 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 6 8 12 17 17 13 8 5 5 5 5 3 1 -3 -1 6 8 6 5 5 4 3 3 3 4 4 4 4 4 4 4 5 4 4 6 7 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 7 6 5 5 6 7 7 7 6 7 7 7 7 7 6 6 5 4 4 5 4 4 3 4 5 5 6 6 6 7 7 8 8 9 11 13 15 18 20 20 18 14 12 14 18 20 18 14 10 7 6 6 5 5 4 3 3 3 4 4 5 6 7 6 4 3 4 6 7 8 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 10 10 9 7 6 6 7 10 10 9 7 8 8 7 6 5 5 5 6 7 7 6 6 6 6 7 8 8 8 8 8 6 4 3 4 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 7 7 7 7 7 7 5 5 5 6 6 6 6 5 4 3 4 5 4 4 5 5 5 6 6 6 6 6 6 7 6 6 5 4 5 6 6 6 7 7 7 7 6 7 8 10 10 8 5 -0 -4 -5 -5 -6 5 14 14 12 8 7 4 -4 -6 4 7 -3 -1 4 6 6 8 10 12 14 16 17 18 20 24 26 22 19 15 11 8 5 4 7 10 7 3 6 13 13 11 10 14 13 7 2 0 6 8 5 4 3 3 3 6 8 1 -2 2 5 7 9 11 12 13 11 9 4 3 5 5 4 5 6 7 7 2 -1 5 13 16 11 3 8 15 15 18 12 3 4 14 14 3 -1 6 8 5 6 11 11 6 4 6 8 7 5 6 7 10 10 9 8 6 6 6 5 6 8 9 10 8 6 3 3 4 5 4 4 6 9 17 24 22 15 8 4 5 6 5 5 5 6 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 5 4 4 6 6 6 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 4 4 4 3 4 4 4 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 4 5 7 11 16 18 14 8 5 6 6 5 5 7 7 3 3 4 5 5 4 3 3 3 4 5 5 5 5 5 3 2 4 6 7 6 7 7 7 7 7 7 7 7 8 8 8 7 7 8 7 7 7 7 7 7 8 8 7 8 9 9 10 10 10 10 8 7 6 7 7 7 7 7 7 8 9 8 8 7 6 5 4 4 4 5 4 3 3 3 3 4 4 4 4 4 5 5 5 5 6 9 12 13 12 12 12 11 11 14 19 21 20 17 11 7 6 6 6 5 4 4 4 4 4 4 6 7 6 4 3 3 5 6 7 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 10 12 13 13 11 8 7 6 6 8 9 9 10 9 9 8 7 6 5 5 5 6 6 7 6 6 6 7 8 8 8 8 7 7 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 7 8 7 7 7 7 6 4 4 5 6 7 6 5 4 4 4 4 4 5 5 5 6 6 5 5 6 6 6 6 5 4 4 5 5 5 6 6 6 7 7 6 5 6 7 13 17 14 7 2 1 2 3 5 11 11 7 4 4 9 9 6 6 8 7 7 16 21 20 18 17 18 18 18 18 19 22 24 23 18 14 14 13 11 8 7 8 11 14 11 4 2 5 6 8 9 10 9 9 7 5 7 5 3 6 7 5 6 9 5 2 0 2 3 5 7 9 13 15 12 11 6 1 5 7 6 5 5 8 8 2 1 9 18 20 14 6 9 14 14 16 5 0 6 10 5 -2 -2 4 2 5 14 14 11 6 4 6 8 8 7 5 6 9 10 8 7 6 6 5 5 6 7 8 8 9 8 6 4 3 3 3 4 7 9 12 15 18 20 16 9 6 5 4 4 5 4 4 5 5 6 6 6 6 6 5 6 5 6 6 6 6 5 4 4 5 6 6 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 4 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 4 4 6 10 15 18 16 9 5 5 5 4 6 10 11 3 1 4 5 4 4 4 4 4 6 6 6 6 5 5 4 2 4 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 7 8 8 8 8 8 9 9 9 10 10 10 9 8 7 8 9 8 8 8 9 10 10 8 7 6 5 4 3 4 4 4 4 3 2 2 2 1 2 2 2 2 2 3 2 3 5 8 10 9 10 12 12 12 14 16 20 24 23 17 11 8 7 6 6 5 5 4 4 3 4 5 7 6 4 3 2 3 5 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 13 14 14 14 12 9 7 6 6 6 7 7 8 8 8 7 6 6 5 5 5 5 6 6 6 5 6 7 8 8 8 8 8 8 7 7 6 6 5 5 4 4 5 5 5 5 6 6 5 6 6 8 8 8 7 7 7 5 4 4 5 6 6 6 6 5 4 5 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 6 7 8 8 7 6 5 7 11 11 8 6 5 4 4 5 5 7 9 6 -0 4 13 14 10 8 6 8 14 24 29 27 24 21 19 16 15 16 20 23 21 15 10 9 9 10 9 8 9 13 18 19 12 6 2 1 2 4 6 7 7 10 12 11 10 5 4 6 6 7 13 13 3 3 3 1 2 5 5 8 11 11 11 11 9 3 4 5 7 6 4 6 7 4 4 8 17 21 18 12 10 8 12 11 1 7 13 10 1 -5 -1 4 3 5 12 12 8 3 2 6 11 14 10 7 7 9 9 8 6 5 6 7 6 6 7 7 7 7 9 9 6 3 2 2 4 6 7 8 11 16 19 18 17 14 8 4 4 3 3 4 5 5 5 6 6 6 6 5 4 5 5 7 7 6 4 4 5 6 6 6 5 5 5 5 4 3 3 4 4 3 3 3 4 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 6 6 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 5 6 9 14 18 17 11 6 4 4 4 5 8 7 2 2 4 4 3 4 5 5 5 7 7 6 5 5 5 3 2 4 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 10 9 10 10 9 8 9 10 11 10 8 8 8 7 7 5 4 4 4 4 3 3 2 2 1 2 1 1 1 2 2 2 3 4 6 6 7 9 11 11 12 14 16 20 24 25 22 17 11 9 8 7 6 6 6 5 4 3 4 6 6 5 3 2 2 3 4 5 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 12 12 13 14 14 12 11 9 7 6 6 5 6 7 6 7 6 6 6 6 5 5 6 6 6 7 6 7 8 9 9 9 8 8 8 8 7 7 7 6 5 4 5 5 5 5 6 6 6 6 6 8 9 9 8 7 6 5 3 3 5 5 6 7 7 6 6 5 4 4 4 4 5 5 5 5 5 5 5 6 7 8 8 8 6 4 4 5 6 7 7 8 8 7 6 7 6 3 5 9 7 4 4 4 4 7 12 6 -3 7 22 22 9 5 10 15 21 26 26 21 16 13 10 9 11 15 19 19 14 9 9 9 9 11 11 9 7 10 17 19 12 8 5 4 5 2 4 7 9 11 11 13 13 10 10 11 6 6 13 14 6 4 4 5 7 10 7 5 4 6 11 11 12 9 4 4 6 3 -0 4 7 6 4 3 11 17 18 15 9 1 4 4 6 12 17 11 -1 -4 2 8 10 7 6 9 6 1 2 9 16 16 12 9 9 9 8 8 6 5 7 9 8 7 7 7 5 4 6 9 9 6 3 3 4 5 6 7 8 11 13 17 24 22 12 6 5 3 2 3 4 5 5 6 6 6 5 4 3 3 4 7 7 7 5 5 6 6 6 6 6 6 6 4 4 4 3 4 4 3 2 3 6 8 7 5 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 3 4 6 8 12 17 19 13 6 3 3 4 4 5 6 5 5 4 4 4 5 5 5 7 7 7 6 5 4 1 -1 1 5 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 9 9 9 9 9 9 10 11 11 11 11 11 10 9 8 8 10 10 9 8 8 9 10 10 9 7 5 5 5 4 5 5 5 5 5 4 4 3 2 3 3 3 3 4 4 5 7 9 10 10 11 15 20 23 22 21 19 16 14 11 9 6 5 6 6 5 4 4 5 6 5 4 3 3 3 4 4 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 10 10 11 11 13 14 13 12 10 8 7 6 5 6 6 5 5 5 6 6 5 6 6 7 8 9 10 9 8 9 10 9 9 9 9 8 9 9 8 7 6 5 5 5 5 5 5 6 6 6 6 7 9 9 9 8 6 4 3 3 4 5 6 7 9 8 7 5 5 5 4 4 4 5 6 6 5 5 5 6 9 11 11 9 6 4 4 5 6 7 7 7 7 7 7 6 5 8 11 11 8 5 4 4 4 8 11 2 -3 10 29 31 18 12 17 16 12 9 6 3 2 2 3 6 12 16 16 13 8 6 7 8 9 12 13 12 8 7 11 15 11 8 7 7 10 7 5 6 9 8 8 10 11 13 14 13 7 7 7 6 6 6 9 10 10 15 10 3 1 5 10 11 14 12 6 4 1 -1 2 6 8 8 4 2 7 12 13 14 9 2 -0 3 13 13 13 9 -0 -1 5 11 13 11 6 7 5 1 4 12 15 14 12 10 9 8 9 9 6 6 7 9 9 9 8 7 5 3 3 5 8 10 9 7 5 4 4 5 6 7 8 14 22 21 12 13 14 7 2 2 4 5 6 7 7 6 5 4 2 1 4 6 7 6 6 6 6 6 6 6 7 6 6 5 5 5 4 4 4 2 1 3 8 13 12 8 5 5 4 5 5 5 5 4 4 4 4 4 5 4 4 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 4 4 4 4 3 3 4 6 8 10 16 19 14 8 4 3 3 4 6 9 8 6 5 5 6 6 5 5 7 7 6 6 5 5 0 -6 -2 6 7 8 8 8 7 7 8 8 8 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 9 10 11 12 12 12 11 10 9 9 8 8 8 8 7 8 9 10 12 12 10 8 8 8 7 7 7 7 8 7 7 7 7 6 5 5 4 3 3 3 3 5 6 8 8 9 13 17 19 19 18 16 16 16 14 11 8 7 7 7 6 4 4 5 6 6 5 4 4 4 4 4 5 6 6 7 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 8 7 11 14 16 16 16 14 13 5 6 15 15 13 15 18 15 10 8 8 13 18 19 17 12 10 7 10 12 11 11 11 12 13 13 16 16 13 12 13 16 19 20 16 12 11 11 11 13 16 18 17 14 14 16 18 16 14 12 10 8 7 7 8 9 10 11 13 17 17 13 9 9 11 13 13 12 13 13 13 12 11 9 7 7 7 6 6 7 10 13 14 13 13 13 13 12 12 12 13 14 13 13 13 14 15 14 13 13 12 11 10 10 10 9 10 11 12 13 14 14 13 13 13 12 12 11 10 10 12 14 15 15 14 13 12 13 13 13 13 12 12 14 15 14 12 12 13 14 14 13 12 12 13 14 14 13 13 13 13 12 13 14 13 11 12 12 12 11 10 11 12 14 14 13 12 10 7 7 11 18 22 19 16 14 14 13 13 13 12 12 13 14 15 16 15 14 15 16 17 15 14 15 17 18 18 18 17 17 17 17 16 16 16 17 19 18 16 15 14 15 17 18 20 19 16 15 15 15 16 18 17 16 15 16 16 16 16 15 15 17 19 21 19 17 15 15 16 15 15 16 16 15 15 15 15 14 15 15 14 15 15 14 14 13 12 11 12 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 11 12 13 14 16 15 13 10 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 10 10 10 12 14 15 15 13 11 11 12 13 12 12 11 10 9 10 11 12 12 12 12 12 11 12 13 13 13 13 12 12 13 13 13 13 13 13 14 14 13 12 12 15 15 12 10 8 5 4 7 11 11 11 11 11 11 12 12 12 12 12 12 13 15 19 21 20 20 21 18 14 12 10 9 10 11 12 12 12 13 17 20 20 18 15 14 15 14 14 13 13 13 12 13 14 14 14 13 13 14 14 14 13 13 14 14 14 15 15 15 14 15 14 14 14 14 14 14 14 14 18 21 19 15 9 9 13 17 17 15 14 14 14 14 14 13 14 15 15 15 14 14 15 15 15 15 14 13 12 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 7 5 2 11 17 19 13 13 15 24 23 14 11 11 16 18 14 10 9 8 8 9 10 13 13 13 12 11 14 15 12 11 11 15 19 20 18 13 9 7 6 7 10 15 17 17 18 18 18 15 12 10 9 9 9 10 10 10 8 8 10 14 19 14 10 10 11 12 12 13 13 14 14 14 14 12 11 9 8 6 6 8 10 12 12 12 12 12 12 12 11 12 13 13 13 13 13 13 15 15 14 14 12 10 9 9 9 10 12 13 13 13 14 13 12 12 12 12 12 11 11 12 12 13 15 14 12 12 13 14 15 14 13 13 13 14 13 12 12 13 13 13 14 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 12 13 13 12 12 10 7 4 6 14 22 23 21 18 15 13 13 13 12 12 12 13 15 16 16 16 16 15 15 14 13 14 16 17 17 18 19 18 17 17 16 16 14 14 15 16 16 14 12 12 12 14 17 18 16 14 13 13 13 17 20 17 15 15 15 15 14 11 8 7 10 14 17 18 17 17 16 16 16 16 16 16 15 15 15 15 16 16 16 16 16 15 14 13 12 12 13 13 13 12 12 13 13 13 13 12 12 12 11 11 11 11 11 12 12 11 11 11 10 10 11 12 14 15 16 15 13 11 9 8 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 12 13 15 16 15 12 10 10 11 12 13 12 11 9 10 10 11 12 12 12 12 12 11 11 12 13 13 13 13 13 13 13 12 12 13 12 13 13 13 14 14 13 11 6 4 4 6 8 11 11 11 11 10 10 11 12 12 12 11 12 11 13 16 21 25 23 18 15 13 11 11 10 10 10 11 11 11 12 13 13 14 14 13 14 15 14 15 15 14 13 13 13 14 14 14 14 13 12 13 13 13 12 12 13 16 16 16 15 14 14 15 15 15 14 14 13 13 13 15 18 21 18 13 10 11 13 14 13 14 14 14 14 13 14 15 15 15 15 15 15 16 15 15 15 15 14 13 13 13 12 12 13 13 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 19 10 10 19 18 14 8 9 10 11 9 8 8 10 10 9 11 13 14 12 12 12 13 13 12 12 13 14 16 18 17 13 9 5 2 3 6 10 12 13 13 14 13 12 10 8 6 7 9 9 9 8 8 9 11 15 16 10 8 8 9 11 13 13 13 13 14 15 15 14 13 12 9 6 7 8 9 12 12 12 11 10 10 10 11 12 12 12 13 13 13 13 13 14 14 13 13 11 10 9 9 11 13 14 14 14 13 13 12 12 13 12 12 12 12 12 13 14 13 11 11 13 14 15 15 14 14 13 13 13 12 12 12 13 14 14 14 14 14 13 13 13 13 13 13 14 14 14 14 13 13 13 12 12 12 12 12 11 12 11 12 12 12 12 10 7 6 8 13 18 22 25 22 17 14 13 13 12 12 13 14 15 16 17 16 15 14 13 13 14 15 16 16 17 19 19 19 18 18 18 17 14 15 15 16 15 14 12 12 13 15 17 17 16 15 13 11 14 18 16 15 14 14 14 15 14 11 8 8 9 13 15 16 17 17 16 16 16 17 17 16 15 15 15 15 15 15 16 16 15 14 13 13 13 13 12 12 13 13 12 13 12 12 12 12 12 11 11 11 11 12 12 11 11 12 12 12 13 14 14 15 15 13 10 8 8 9 9 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 9 10 11 11 11 12 13 15 16 14 13 11 11 11 11 12 11 11 10 10 11 11 11 12 12 12 12 11 11 11 12 13 13 13 13 13 13 13 12 12 12 13 15 15 15 15 12 9 8 8 10 12 13 13 12 11 10 11 10 12 12 12 12 12 12 12 14 16 21 23 20 16 13 12 11 10 9 9 10 11 11 10 11 12 13 13 14 14 13 14 15 16 15 14 12 12 13 14 15 15 15 13 11 13 13 12 11 13 16 17 17 16 15 14 13 14 14 15 15 15 14 14 14 14 16 21 19 13 13 12 12 12 12 13 13 13 13 14 15 15 16 16 15 15 14 14 15 15 15 15 15 14 13 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 11 14 12 11 12 11 10 9 9 10 11 12 13 13 14 14 13 13 13 14 17 17 16 14 8 4 3 5 9 10 8 8 11 11 10 8 8 8 7 6 7 8 9 10 12 15 17 14 7 5 8 10 11 12 13 12 12 14 14 14 14 14 12 8 5 4 6 9 11 12 12 11 10 9 9 10 12 13 12 13 13 13 13 12 13 14 12 12 12 11 10 10 11 13 14 14 15 14 12 11 12 13 13 13 13 12 12 12 13 12 12 12 13 14 15 15 15 14 14 12 12 13 13 13 13 14 14 14 14 14 14 13 13 13 13 13 13 13 14 14 13 13 12 12 11 12 12 12 12 11 11 12 12 12 12 14 12 9 7 6 9 15 28 31 21 15 14 13 12 12 13 13 14 16 16 16 15 14 14 13 13 15 15 14 13 16 23 27 23 19 21 20 18 17 15 14 13 14 14 13 12 13 14 15 16 15 14 13 14 15 16 15 15 15 15 16 16 16 13 11 9 9 11 13 15 17 16 16 16 16 17 17 15 15 15 14 14 14 15 15 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 13 14 15 16 17 15 13 11 9 8 9 10 10 10 10 10 9 9 8 8 6 6 6 6 7 8 8 9 10 11 12 12 12 12 12 11 12 14 14 13 12 11 11 11 10 10 10 9 10 10 11 11 11 11 12 13 13 12 11 11 12 13 13 13 13 13 13 13 13 12 14 16 17 16 14 12 11 11 11 12 13 13 13 13 11 11 11 12 12 12 12 12 12 12 12 13 14 16 21 22 19 16 14 12 10 9 9 9 10 10 11 11 11 11 12 13 14 14 13 14 15 15 14 13 12 12 13 13 14 15 15 15 14 15 14 12 12 13 15 17 16 14 13 13 14 15 14 14 15 15 14 14 14 15 17 19 19 16 14 12 11 12 14 15 14 12 11 13 14 15 15 15 15 15 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 10 12 12 12 12 12 12 13 13 13 16 19 17 17 16 16 14 11 11 9 9 10 13 14 13 11 10 10 11 10 9 9 10 11 14 17 19 19 11 6 6 9 11 13 13 12 11 11 12 12 12 13 14 13 9 4 0 4 10 11 13 14 13 10 8 8 10 12 12 12 13 13 13 12 12 13 13 13 12 11 11 11 12 13 13 14 14 14 13 12 11 11 12 13 13 13 12 12 12 12 12 13 13 13 14 14 14 14 15 15 13 12 12 13 13 13 14 13 14 14 14 15 14 13 13 13 13 13 13 14 14 13 13 12 12 11 11 11 12 12 12 12 12 11 12 12 13 14 12 10 6 2 5 24 36 27 20 15 13 13 13 13 13 13 14 15 15 15 15 15 14 14 15 15 11 6 6 17 30 28 22 24 21 19 18 17 15 13 12 13 13 13 13 13 14 15 14 13 14 14 14 14 14 14 13 14 14 14 13 13 12 11 10 10 10 12 15 16 16 16 16 16 16 15 16 16 15 15 14 14 14 15 14 14 13 12 12 13 13 13 12 12 12 12 12 12 13 13 13 14 14 15 15 16 16 17 18 19 18 17 15 13 10 9 9 9 10 10 10 10 9 9 9 8 7 7 6 7 8 9 10 11 11 11 12 13 13 13 13 13 12 11 11 12 12 12 12 12 11 11 10 9 9 8 9 10 10 11 11 12 13 14 14 12 10 11 12 13 14 14 14 14 14 14 13 13 15 17 15 12 9 9 11 11 11 12 13 13 12 11 11 12 12 12 12 12 12 12 11 12 13 13 14 18 22 23 21 17 13 11 9 8 9 9 10 11 10 10 10 10 11 13 13 14 14 14 14 14 13 13 14 14 14 14 15 14 14 14 14 14 14 13 13 16 16 15 14 12 13 14 14 14 14 15 15 15 14 12 11 13 16 18 19 17 13 13 13 14 15 15 14 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 5 6 7 6 6 6 5 4 3 3 3 2 1 1 3 6 9 12 14 17 20 26 33 38 41 40 36 36 35 31 30 30 30 32 30 24 22 23 27 29 27 27 28 28 30 28 22 19 20 21 22 21 20 19 18 18 17 15 13 11 9 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 7 6 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 22 24 24 22 22 26 32 36 29 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 13 15 13 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 12 18 20 18 13 13 15 16 15 11 8 6 9 16 30 44 52 56 68 76 85 91 92 89 86 84 81 79 72 60 50 37 24 13 8 8 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 18 41 71 102 120 123 116 115 118 122 124 116 98 82 78 71 51 43 56 72 80 88 90 85 78 69 57 48 52 54 42 35 40 51 65 78 96 123 155 168 170 159 159 167 167 166 166 168 169 164 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 4 5 5 5 5 5 4 4 3 3 3 1 1 2 4 6 8 12 16 22 27 29 29 30 30 30 29 28 27 26 27 30 30 26 22 23 24 26 23 20 20 21 22 16 14 14 16 18 19 18 17 17 16 15 13 11 10 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 6 6 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 17 17 15 11 9 11 15 18 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 16 19 18 13 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 1 5 13 18 16 10 4 3 4 4 6 4 2 0 1 4 12 26 34 38 46 58 68 77 84 84 80 73 63 64 59 56 54 52 41 26 12 9 5 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 25 72 102 121 120 113 114 118 121 121 121 121 120 113 105 105 113 117 119 122 121 111 106 101 93 86 84 75 62 64 69 76 88 103 124 154 174 168 155 145 155 168 167 162 160 162 166 165 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 4 4 4 4 4 5 5 5 4 5 5 4 2 2 1 1 2 4 6 8 12 17 23 26 28 28 27 26 24 23 23 23 24 24 22 20 21 23 24 23 19 17 17 16 12 10 11 12 12 10 10 10 10 9 9 9 9 8 7 6 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 8 6 4 2 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 15 15 15 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 18 12 4 0 0 0 0 0 0 0 0 0 0 2 7 24 32 37 42 48 54 61 70 67 48 42 40 34 38 44 53 53 46 32 24 21 20 13 7 3 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 9 59 104 123 130 121 115 116 118 119 123 131 136 134 131 134 132 130 127 120 116 115 115 118 124 123 119 101 86 90 97 107 119 136 152 169 168 156 141 137 151 167 168 161 157 158 163 166 162 155 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 2 4 6 9 12 14 18 21 22 22 21 19 18 19 19 17 15 13 14 17 20 22 21 17 15 14 11 8 7 7 6 6 5 5 5 6 5 5 5 6 6 4 4 3 2 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 3 6 5 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 9 4 0 0 0 0 0 0 0 0 0 0 0 1 11 23 31 36 40 43 46 49 53 48 41 34 31 29 32 38 50 52 47 42 40 37 33 28 22 16 9 8 8 3 0 0 0 0 0 0 0 0 0 8 44 103 144 152 147 132 119 116 115 114 116 122 131 138 137 133 127 118 106 96 96 108 119 128 138 150 151 130 114 118 130 141 153 162 164 160 154 149 137 130 144 164 169 162 156 155 158 160 156 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 2 1 2 3 5 6 8 13 16 17 17 16 14 13 15 17 16 14 12 10 11 13 16 18 16 13 12 10 8 4 3 3 2 1 0 1 2 3 4 5 5 6 5 3 2 2 2 3 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 7 7 5 2 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 6 6 4 2 2 2 1 0 0 1 2 4 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 6 4 0 0 0 0 0 0 0 0 0 0 0 0 2 16 26 30 34 37 39 38 41 44 43 39 34 30 29 29 41 51 50 50 52 50 47 42 36 30 22 18 17 9 1 0 0 0 0 0 0 1 0 14 76 140 174 172 162 144 127 118 115 112 110 114 119 127 126 122 117 106 92 90 98 112 128 141 155 172 174 153 135 141 158 164 169 172 164 153 150 148 135 122 134 157 166 161 155 151 149 147 144 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 5 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 2 2 3 4 4 5 8 13 17 17 14 11 10 11 14 14 13 14 13 10 10 12 12 9 7 7 7 5 3 2 1 0 0 0 0 1 1 2 2 2 3 3 2 2 2 2 2 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 14 15 13 13 14 8 2 0 2 7 12 16 16 13 9 3 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 4 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 14 21 25 28 30 30 28 27 34 39 39 35 30 27 26 28 36 48 56 59 57 51 45 38 32 26 22 21 16 9 4 1 4 6 14 23 23 18 46 102 156 180 173 166 153 135 122 118 114 112 116 120 122 121 118 115 110 105 104 112 124 137 150 170 191 192 171 150 148 160 166 172 174 165 155 151 150 139 124 130 157 168 161 155 152 147 142 138 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 5 4 3 4 3 2 1 2 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 7 11 16 17 13 10 9 11 12 12 12 12 11 10 9 8 6 4 4 3 3 2 1 0 0 0 0 0 0 1 1 2 3 3 2 2 2 2 2 2 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 3 3 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 13 21 21 20 24 26 19 9 4 10 18 22 22 20 15 10 5 2 0 0 0 0 0 0 0 0 1 4 3 2 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 7 14 18 19 18 15 12 11 20 29 32 31 28 24 22 22 26 36 48 55 55 48 40 35 32 29 26 20 18 36 41 42 32 33 48 62 78 81 106 128 165 178 166 162 154 136 124 119 116 116 118 123 125 124 122 119 117 117 118 122 129 138 151 172 196 202 186 163 146 138 155 174 174 165 151 145 148 147 141 149 169 173 166 156 149 144 139 135 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 8 7 5 4 4 5 5 3 1 1 2 3 4 4 3 3 3 3 3 3 3 4 4 4 3 3 6 13 18 18 15 12 12 12 13 12 12 11 10 9 8 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 5 5 6 6 6 6 6 6 5 4 3 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 8 17 23 22 23 27 28 24 18 17 22 26 25 21 16 10 8 6 4 1 0 0 0 0 0 0 0 1 7 12 12 1 0 0 0 0 0 0 3 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 5 3 3 4 7 13 19 22 22 20 17 15 15 21 29 35 38 31 16 9 17 24 29 31 24 48 75 89 80 72 70 82 98 108 116 125 163 170 153 147 142 133 123 117 115 116 119 122 125 125 122 119 116 118 121 124 129 135 145 164 188 205 204 184 161 141 165 183 178 160 140 133 138 146 152 165 173 172 168 157 142 129 122 119 118 117 nan nan nan nan nan nan nan nan 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 9 8 4 3 4 5 6 6 3 2 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 8 16 20 21 18 15 14 14 13 12 11 10 10 8 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 1 1 1 1 1 1 2 2 3 4 4 4 5 5 5 5 5 3 2 2 2 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 11 21 24 24 25 26 22 18 22 27 30 30 25 18 10 6 6 7 7 4 2 0 0 0 0 0 0 1 6 14 17 5 0 0 0 0 0 0 2 6 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 16 21 17 14 16 18 22 27 26 18 2 1 0 10 32 51 52 52 66 83 89 78 78 88 100 109 114 133 162 165 140 126 124 119 112 107 106 110 117 121 122 122 120 118 112 110 115 122 126 129 137 152 173 198 210 205 197 184 186 187 177 159 139 126 124 132 143 147 148 155 158 154 140 120 106 100 99 100 nan nan nan nan nan nan nan nan 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 7 6 2 1 2 4 6 6 4 3 4 5 5 5 5 5 5 5 4 3 2 2 3 3 2 2 2 6 11 17 22 22 19 16 14 14 12 10 9 9 8 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 2 3 3 4 4 4 3 2 2 3 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 15 24 26 26 27 27 23 20 27 35 38 32 22 13 6 6 7 8 7 6 4 1 0 0 0 0 0 1 5 9 9 4 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 1 4 11 17 13 13 24 21 23 30 35 37 16 2 7 28 56 81 84 70 61 72 89 91 91 94 100 111 120 136 163 169 140 116 118 116 108 103 102 106 117 125 122 122 120 119 115 112 110 117 122 123 130 141 154 174 191 200 203 193 179 171 163 155 143 127 118 118 126 134 136 137 142 147 144 129 110 98 96 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 8 7 7 4 1 0 0 2 4 5 4 3 4 5 5 5 5 4 4 4 4 4 3 3 2 2 1 1 1 3 6 11 17 21 21 19 16 13 12 10 8 8 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 1 1 2 2 2 2 2 3 3 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 20 27 28 26 27 29 30 29 33 36 33 27 17 9 7 7 8 7 6 6 3 1 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 14 16 24 34 30 30 42 62 78 60 37 35 56 84 100 96 85 78 81 90 96 100 102 106 114 126 142 168 178 156 131 128 126 118 112 112 117 127 133 128 124 122 119 116 115 112 112 116 120 126 133 141 152 164 174 175 168 158 147 142 141 137 128 118 114 117 125 130 128 127 137 147 140 123 109 104 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 16 14 9 6 4 2 1 1 2 4 5 4 4 4 4 5 5 4 3 1 1 2 2 1 1 0 0 0 0 2 4 7 11 16 19 20 19 16 14 11 9 7 7 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 13 24 29 28 27 28 30 32 34 32 26 20 16 11 8 9 9 6 4 2 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 2 11 17 21 34 43 34 37 50 81 106 102 86 77 86 101 102 91 85 87 90 95 101 109 114 117 124 136 152 172 182 170 156 154 147 134 125 123 129 135 141 135 126 123 121 120 118 112 108 113 120 125 129 136 144 151 157 159 154 147 136 130 130 129 123 117 113 113 118 129 127 121 129 140 140 131 118 108 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 19 18 12 9 8 6 4 1 0 1 4 5 4 4 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 2 4 7 9 13 17 19 20 19 16 12 9 7 6 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 16 25 30 29 29 29 29 28 24 17 12 8 6 6 6 6 5 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 30 47 57 57 49 46 54 86 118 121 105 96 105 111 99 84 86 94 99 103 110 122 132 133 142 150 156 166 171 164 158 158 160 149 135 128 130 141 146 141 132 126 125 128 127 118 109 110 119 127 130 135 142 150 155 161 164 152 140 133 131 128 120 118 116 114 117 127 131 127 127 133 136 133 123 112 103 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 12 14 12 11 14 13 8 4 2 0 1 3 2 2 3 4 5 4 4 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 10 15 19 19 18 16 13 10 9 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 15 23 27 29 31 31 30 25 17 7 4 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 39 73 83 67 49 42 54 92 124 124 107 102 113 115 99 88 96 105 110 113 121 135 148 150 153 152 148 145 141 142 146 150 152 149 138 127 126 136 145 144 138 131 128 132 134 128 116 110 117 124 128 133 139 147 154 161 161 152 144 140 136 131 125 122 120 116 117 128 137 133 128 129 131 130 126 119 114 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 11 8 6 8 12 16 17 13 9 5 2 1 1 0 0 1 2 3 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 16 17 16 14 13 11 9 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 6 11 18 22 26 29 31 30 26 19 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 29 73 96 77 45 36 53 96 126 123 116 118 127 120 104 103 113 118 122 126 132 145 158 158 149 139 130 122 116 123 135 143 144 140 132 125 122 128 137 138 135 132 130 134 139 136 123 114 116 118 119 125 135 142 147 152 150 144 140 138 137 135 132 130 127 123 123 132 141 138 128 125 123 122 120 122 129 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 17 11 6 6 10 14 16 16 13 10 7 4 2 0 0 0 1 1 2 3 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 13 14 14 14 13 12 9 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 0 0 2 3 5 5 5 5 6 10 14 18 22 24 25 24 20 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 58 100 92 52 41 62 102 124 128 134 137 137 127 117 121 127 131 132 138 141 149 157 155 144 131 124 121 120 126 135 140 138 131 126 124 122 122 122 124 126 127 126 129 134 134 126 118 113 111 112 116 127 138 143 145 143 138 134 134 135 136 136 134 132 128 129 137 146 144 131 121 115 112 111 118 132 141 nan nan nan nan nan 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 16 11 9 9 12 13 14 12 10 9 7 5 2 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 11 11 12 13 12 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 2 5 6 5 5 5 5 4 5 7 10 12 11 15 14 11 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 40 84 94 65 51 75 100 116 122 137 150 145 135 133 134 136 137 137 139 141 145 150 152 149 143 138 136 138 142 142 140 136 130 127 126 124 122 119 116 118 121 120 119 120 125 123 116 109 106 108 110 119 132 141 145 144 140 135 135 138 142 141 138 133 127 127 135 150 151 136 122 114 110 111 116 128 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 10 14 14 12 11 11 11 9 7 6 8 10 9 7 4 2 1 0 0 0 0 0 0 0 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 1 3 5 6 7 8 9 11 12 10 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 6 5 5 6 5 4 4 4 5 6 6 7 7 6 6 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 30 62 94 70 50 63 89 110 116 127 147 144 137 138 136 131 130 132 134 136 140 144 148 151 150 148 144 144 145 143 138 137 137 131 126 126 122 122 119 118 117 116 115 115 118 119 116 111 107 104 104 110 122 134 142 146 144 142 143 144 143 139 136 130 126 126 132 145 150 141 126 116 117 122 126 133 145 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 11 8 8 11 13 13 12 11 8 5 3 4 8 11 11 9 5 3 2 1 0 0 0 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 2 3 4 5 5 6 8 9 8 6 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 1 2 4 6 6 5 5 5 6 6 5 4 3 3 4 4 5 6 6 6 6 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 2 3 1 0 0 0 0 21 53 77 64 38 36 68 102 114 122 136 131 126 130 127 117 113 116 123 130 136 140 145 147 146 143 139 138 140 137 134 133 135 131 126 123 119 119 122 122 120 118 118 118 119 120 120 120 113 100 90 92 105 119 131 140 142 146 149 146 139 132 128 125 123 124 131 143 151 146 131 120 123 131 138 147 159 162 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 19 12 7 7 9 11 12 12 10 7 5 4 5 7 9 10 8 5 3 2 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 6 7 6 6 6 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 4 4 4 4 5 5 6 6 6 6 7 6 5 5 4 3 3 3 4 5 6 6 6 6 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 11 14 10 6 2 0 1 0 0 0 13 39 59 55 33 23 45 81 106 121 129 122 114 116 117 108 100 102 110 119 128 137 144 145 140 133 129 127 128 131 133 132 131 129 128 124 117 113 120 125 126 127 126 124 124 124 126 130 128 115 93 82 86 99 108 120 130 138 141 138 132 125 119 117 117 120 128 139 150 150 137 123 119 126 139 156 173 170 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 19 13 6 3 4 5 8 11 12 10 7 5 3 3 4 7 8 5 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 5 6 6 5 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 5 6 6 5 6 6 6 6 6 6 6 6 6 6 5 4 3 3 3 3 4 5 5 4 4 3 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 6 11 19 30 21 7 1 0 2 0 0 0 9 29 48 56 45 32 36 61 86 106 126 124 116 111 113 112 101 101 105 109 118 130 142 150 146 132 121 115 113 116 124 129 130 130 130 129 122 115 119 128 131 135 136 132 125 123 128 135 138 135 119 95 82 85 90 99 114 125 127 123 119 114 110 110 111 114 122 134 146 153 144 124 114 120 135 157 172 166 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 12 10 6 2 1 1 3 7 11 12 10 6 4 3 3 4 6 6 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 5 5 4 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 5 5 4 4 3 3 3 4 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 6 9 12 16 21 36 41 25 6 1 0 0 0 0 4 18 39 58 64 58 60 73 81 86 105 121 122 116 118 125 122 116 115 110 112 119 131 150 155 145 131 118 109 106 110 118 124 127 129 128 123 118 118 125 130 137 141 137 126 122 128 136 141 147 143 117 93 85 85 90 101 111 112 108 104 102 100 101 101 103 115 127 142 153 146 126 114 115 128 151 169 169 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 7 6 4 1 0 0 0 3 7 9 9 8 8 8 8 9 9 8 4 4 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 4 4 4 4 4 4 2 1 0 0 0 0 0 0 0 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 3 2 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 2 4 5 8 12 13 14 15 19 19 22 35 44 31 10 1 0 0 0 0 1 7 23 44 60 71 81 95 95 89 94 109 119 118 120 129 137 140 137 129 120 115 117 130 144 148 143 132 121 112 108 110 116 120 122 123 117 111 112 117 123 129 131 129 124 124 132 139 141 146 146 132 111 95 89 90 96 101 101 96 90 87 87 90 90 94 105 119 134 146 143 128 114 109 116 136 164 180 177 nan 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 2 1 0 0 0 0 2 2 3 5 8 12 15 18 17 13 8 5 4 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 4 4 4 4 4 4 2 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 6 6 6 6 6 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 5 5 6 5 4 2 2 2 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 16 21 22 23 24 30 31 31 32 28 16 4 1 1 0 0 0 0 2 11 30 46 58 73 91 106 103 98 103 110 109 109 114 122 135 144 146 140 128 116 111 117 129 136 137 134 128 124 119 116 114 113 115 111 105 105 108 114 119 118 115 116 120 130 136 139 142 143 137 122 109 101 98 99 102 101 94 86 79 79 82 85 89 97 109 123 136 138 129 116 108 107 119 142 162 166 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 4 1 0 0 0 0 0 0 0 0 2 4 9 16 21 22 19 13 7 4 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 3 2 2 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 6 6 5 5 6 6 7 8 8 8 8 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 5 5 6 6 6 5 5 5 5 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 1 0 0 0 0 0 0 0 1 8 16 22 24 27 32 38 43 40 30 16 6 2 4 5 2 0 0 0 0 3 17 32 41 54 70 89 104 108 106 103 96 92 91 92 97 112 131 142 142 134 121 109 108 114 122 128 134 138 137 129 119 109 106 105 105 102 101 107 114 116 112 112 115 122 128 135 143 144 137 126 120 119 117 115 112 109 102 91 82 79 79 81 85 91 98 110 123 130 128 120 112 107 108 120 134 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 10 7 4 2 1 0 0 0 0 0 0 0 0 1 4 9 16 20 20 16 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 6 6 5 5 5 6 7 8 9 9 8 7 6 6 7 6 6 6 5 5 5 6 5 5 5 5 5 4 5 6 6 6 6 6 6 6 6 7 7 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 8 7 8 5 4 2 1 1 2 2 2 6 12 16 19 21 26 35 44 39 23 9 4 5 12 12 9 4 2 0 0 0 6 16 27 37 49 66 87 106 113 104 88 76 74 72 71 77 94 115 134 148 141 123 107 100 101 108 119 133 141 142 132 116 102 98 99 96 94 100 111 119 120 118 118 121 122 125 139 144 138 130 128 132 133 131 126 120 114 104 92 84 77 75 78 83 88 95 107 119 124 122 117 109 106 112 120 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 14 11 7 5 3 1 0 0 0 0 0 0 0 0 1 2 7 15 19 18 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 6 6 5 6 6 6 6 6 7 8 8 10 10 9 8 7 6 6 6 6 6 5 5 5 5 5 4 4 5 5 6 6 6 6 7 6 6 7 6 6 7 8 7 6 6 5 3 1 0 0 0 2 2 2 1 0 0 0 1 3 5 5 9 13 16 17 17 15 12 9 7 5 5 6 7 9 10 11 12 13 16 26 37 28 12 6 7 13 19 20 16 12 8 1 0 0 0 3 12 21 31 44 63 89 110 112 94 74 68 66 64 61 66 82 100 127 142 135 117 101 92 92 99 112 127 138 138 129 114 102 92 88 89 96 109 121 129 133 135 133 124 122 136 144 136 132 135 139 142 139 132 126 121 115 106 94 79 69 70 76 80 85 92 103 112 118 118 113 110 113 117 115 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 16 14 11 8 7 5 3 1 0 0 0 1 2 1 0 0 2 10 17 20 18 13 8 4 2 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 6 6 7 7 8 8 7 8 10 9 9 10 10 10 8 6 5 5 4 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 7 7 6 6 6 6 7 7 6 6 5 4 4 3 1 0 0 2 4 5 5 4 4 5 8 8 11 10 14 19 21 20 20 18 16 14 13 11 9 9 11 12 12 9 7 6 10 21 32 25 7 4 11 20 24 26 23 20 14 8 3 1 0 0 2 8 16 26 39 62 89 109 107 90 76 66 62 59 57 59 66 82 104 119 118 106 90 84 85 91 101 113 123 129 127 118 102 90 88 97 110 121 134 147 156 155 140 132 132 134 133 136 140 139 138 134 127 125 123 120 117 107 89 74 71 74 78 84 89 97 106 115 120 119 117 118 120 118 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 18 16 16 14 11 9 8 8 8 6 4 2 2 4 3 2 1 0 4 11 17 20 20 17 13 9 5 3 3 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 6 6 7 7 8 9 10 9 8 8 8 8 8 8 8 8 8 6 5 4 4 4 4 4 4 3 3 4 4 4 5 5 6 6 6 6 7 7 7 6 6 6 6 5 5 4 4 4 4 4 2 1 0 1 4 6 7 7 8 8 10 12 15 17 21 23 23 21 20 19 18 17 16 15 14 13 14 16 14 10 6 1 4 15 33 33 10 8 16 29 31 29 27 20 15 12 8 3 0 0 0 2 5 12 22 38 59 88 105 108 95 73 63 57 53 49 46 50 63 86 106 108 91 77 78 82 83 86 94 107 120 127 121 105 94 101 113 123 137 155 171 172 160 146 134 129 133 140 142 136 130 126 119 120 123 121 122 117 105 92 85 82 84 88 95 102 110 117 124 125 123 122 122 121 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 20 17 15 13 11 9 8 7 8 9 9 7 5 4 4 4 3 2 2 6 12 18 23 21 18 16 14 11 9 9 8 6 2 0 0 0 0 1 2 2 1 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 1 1 2 2 2 2 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 5 5 4 4 3 4 5 5 4 4 4 5 5 6 6 6 6 7 7 6 7 7 7 6 5 4 4 4 4 4 4 3 2 2 2 4 5 7 8 9 9 10 14 16 19 23 25 24 23 22 21 20 19 18 18 18 18 19 22 23 17 10 3 0 7 26 35 28 20 26 35 34 32 27 17 12 12 11 5 0 0 0 0 1 2 9 19 32 57 82 101 106 88 73 61 53 45 38 33 34 50 81 101 94 78 73 75 74 70 69 76 90 110 122 118 108 107 113 125 142 162 174 176 169 157 138 125 129 136 139 133 124 118 113 117 121 123 124 123 118 110 101 94 92 96 103 109 114 120 124 124 122 121 119 120 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
26 21 15 12 10 10 8 5 4 6 8 9 9 7 5 4 5 7 7 6 5 7 12 18 20 17 16 16 15 15 16 14 9 4 0 0 0 1 3 5 6 5 4 2 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 6 6 7 8 8 8 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 5 4 4 6 9 13 15 14 10 5 5 5 6 6 6 7 6 4 4 3 4 6 7 8 7 6 5 4 4 4 4 4 4 4 5 5 6 7 9 10 11 11 14 17 19 21 22 22 23 23 23 21 20 19 19 20 25 28 31 34 32 24 12 2 2 11 25 34 38 40 39 38 36 30 20 13 12 12 8 2 0 0 0 0 0 1 7 17 28 50 73 92 96 89 76 63 49 37 28 23 26 45 74 89 82 72 68 64 58 53 51 57 74 96 109 110 108 111 121 140 159 170 172 169 163 147 128 122 127 135 132 122 116 113 116 120 121 123 124 123 119 113 107 104 105 110 112 114 119 122 120 120 123 118 117 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
20 15 11 8 8 7 5 2 0 1 4 7 9 8 6 5 5 8 11 11 9 8 9 13 14 13 11 11 14 17 19 19 12 4 0 0 0 2 4 6 9 9 8 6 4 2 1 0 0 0 0 0 0 1 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 1 1 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 6 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 4 6 13 22 28 28 25 19 10 6 5 6 6 7 6 3 1 0 0 0 2 3 5 8 9 9 7 5 5 5 5 5 6 6 7 8 8 10 12 12 13 15 17 18 17 16 17 18 20 22 22 21 20 19 20 29 32 32 38 38 34 24 11 2 2 10 28 38 40 39 38 36 31 23 19 20 18 13 5 1 0 0 0 0 0 2 6 13 25 39 61 82 91 88 77 59 36 20 19 13 19 43 71 75 68 58 52 46 40 35 34 42 58 76 90 97 104 112 125 140 154 164 169 169 160 139 121 119 128 132 128 122 115 114 114 113 111 109 109 112 117 117 115 114 115 114 114 117 120 120 122 125 125 123 122 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 7 5 5 6 6 3 1 0 0 1 3 6 8 7 5 5 8 11 13 14 13 13 13 12 10 7 7 10 14 16 16 11 5 2 1 0 0 3 6 8 10 10 8 7 6 4 2 0 0 0 0 0 1 3 3 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 6 5 5 5 5 6 6 6 6 6 6 5 4 5 5 5 5 6 6 6 6 6 7 7 7 6 5 6 12 22 29 31 29 27 24 16 8 5 5 5 6 4 2 0 0 0 0 0 1 2 6 10 11 11 9 7 6 6 6 7 7 8 9 10 12 12 13 15 16 17 18 17 15 13 14 15 18 20 20 20 20 20 28 30 31 36 38 35 28 17 5 0 4 18 31 35 34 31 28 25 24 28 44 37 23 12 5 2 1 0 0 0 0 0 3 8 15 28 48 70 82 80 64 34 9 5 0 4 18 42 54 54 48 40 34 29 24 21 22 28 42 58 74 87 96 101 112 125 145 164 173 172 154 131 120 123 129 130 126 120 114 109 103 96 88 83 90 109 118 121 120 117 116 116 117 119 121 123 125 127 129 127 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
3 2 1 3 5 5 3 0 0 0 0 1 2 3 4 4 4 6 10 13 15 16 17 16 14 11 8 7 10 13 15 14 12 8 5 4 4 3 1 3 5 8 9 10 10 10 9 6 3 1 0 0 0 1 2 3 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 7 7 6 6 7 7 6 7 12 19 24 25 20 16 17 19 16 10 6 5 5 5 4 2 1 0 0 0 0 0 1 7 12 13 13 12 9 8 8 8 8 8 9 10 11 12 12 13 14 15 16 17 18 17 16 14 12 14 17 19 19 19 20 25 27 29 35 40 39 29 16 4 0 3 14 25 26 23 19 19 21 23 26 42 53 44 28 18 11 5 1 0 0 0 0 0 2 4 9 18 35 51 62 59 37 12 1 0 0 3 13 24 31 32 26 20 18 15 12 10 11 15 29 47 65 77 83 89 99 116 138 158 170 166 152 136 127 126 125 124 120 117 113 103 88 74 64 71 91 106 116 119 118 117 117 118 120 121 123 125 125 127 130 125 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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