Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 2 3 4 5 5 5 7 10 10 9 8 7 7 6 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 2 2 2 2 3 4 3 4 4 3 3 3 3 3 3 4 3 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 5 5 4 5 6 8 8 7 7 7 8 8 7 7 7 8 9 10 9 8 7 6 5 5 6 7 6 5 3 3 3 5 8 7 6 4 5 4 3 -2 7 6 5 4 0 1 8 11 4 0 1 0 -1 -1 5 -1 -5 4 8 -0 0 9 11 7 5 7 9 8 10 10 3 4 6 9 10 8 4 2 3 6 7 6 4 3 6 8 6 6 4 -2 -2 5 7 5 1 2 8 11 13 21 29 32 23 10 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 7 8 10 10 10 11 11 11 11 13 15 19 19 10 7 5 5 5 5 6 7 7 5 4 5 5 5 5 5 5 5 5 5 4 3 1 -1 2 3 3 3 4 4 5 5 4 4 2 2 3 3 3 3 2 2 3 3 3 4 4 3 3 3 3 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 3 2 3 3 2 3 5 8 10 12 14 17 19 17 12 9 9 9 8 7 4 4 4 5 9 17 26 18 7 4 6 5 1 1 -5 -5 -10 -3 2 -1 -0 4 5 4 2 2 2 -3 -7 -6 -6 -7 -5 -0 5 8 8 9 8 9 11 16 18 17 14 10 10 10 12 12 13 13 12 13 14 12 10 13 19 17 12 8 6 3 1 2 3 3 2 1 0 0 1 2 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 nan nan nan 2 1 2 3 4 4 4 5 7 9 9 9 8 8 8 7 5 3 3 4 5 5 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 2 2 3 3 3 4 4 3 3 3 3 3 3 4 3 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 3 3 4 5 5 5 5 5 4 4 6 7 7 7 7 7 7 7 7 7 6 7 8 9 9 9 8 6 6 5 6 7 7 5 3 3 4 7 8 8 7 6 8 9 6 8 10 6 10 7 3 -3 -2 2 3 3 3 -1 -4 -6 -2 1 -0 -0 1 2 8 15 13 8 4 4 7 6 5 4 2 7 9 10 12 11 3 -3 1 7 8 8 8 6 5 3 1 3 1 -2 3 9 7 5 5 7 10 15 22 28 29 25 14 5 3 3 3 3 3 3 3 2 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 7 8 9 10 9 9 9 8 9 10 13 18 21 14 7 6 6 6 7 8 8 6 5 5 5 5 4 5 5 5 6 5 4 3 1 -4 -4 1 2 1 1 3 4 5 5 5 5 4 4 4 3 4 3 2 2 2 2 3 4 4 3 3 3 3 3 4 3 3 2 2 2 2 2 2 2 2 2 3 2 2 2 3 2 2 2 2 2 3 3 3 2 4 8 12 14 13 12 14 13 10 8 7 6 6 6 6 5 5 5 5 6 10 18 23 21 14 11 8 7 8 4 -1 0 1 3 2 3 3 4 7 7 4 3 3 2 1 0 -2 -3 -1 3 7 7 6 5 4 6 8 11 13 12 8 7 8 9 9 10 11 12 14 18 20 21 20 18 13 8 4 3 3 3 3 4 4 2 1 0 1 1 1 2 2 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 nan nan 3 1 1 2 3 3 4 4 4 6 8 8 7 8 8 9 7 5 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 2 2 3 4 4 4 4 4 4 4 4 4 3 4 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 4 4 4 4 5 5 4 4 4 3 3 4 4 5 5 5 4 4 4 5 6 7 6 6 6 6 6 7 6 6 6 7 9 9 9 8 7 6 6 6 6 6 5 3 2 4 8 9 8 5 6 9 12 4 8 10 7 7 5 5 -4 -8 -9 -2 7 12 6 2 1 -0 2 3 0 -1 2 8 16 17 12 8 7 7 9 9 8 8 11 11 7 6 8 2 -4 3 8 7 6 10 10 5 1 -0 1 5 9 10 8 5 4 6 8 9 14 25 30 25 15 7 4 3 3 3 3 3 2 2 3 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 6 7 8 9 9 9 9 8 8 8 10 13 14 12 8 7 7 8 8 9 9 8 7 7 6 6 5 4 4 5 5 5 4 3 3 -7 -13 -4 1 -2 -5 -1 3 3 4 4 5 5 4 4 3 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 3 2 2 3 3 2 2 2 3 3 3 3 3 6 11 14 14 10 8 8 7 5 5 5 5 5 4 4 3 4 5 6 6 6 8 15 19 20 15 7 5 4 2 -0 3 4 5 5 5 3 5 5 6 5 5 6 8 6 6 5 3 3 4 5 6 4 3 3 4 7 8 9 9 7 6 7 7 8 8 8 9 12 17 24 27 23 17 12 8 5 4 4 5 5 6 5 3 2 1 1 1 1 1 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 2 1 2 2 3 3 3 3 4 6 7 6 6 7 8 8 7 5 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 3 3 4 4 5 5 4 4 4 4 4 5 6 6 5 5 5 6 6 6 6 6 7 8 9 9 8 8 6 6 6 6 6 5 4 3 5 6 8 11 5 2 6 9 1 -0 6 7 4 4 4 -2 -7 -7 -1 10 13 9 9 13 8 2 4 2 -0 -1 1 11 17 13 10 9 9 10 10 12 17 13 6 4 4 4 2 4 9 8 6 2 2 5 5 4 3 4 11 13 9 6 4 3 4 6 9 17 26 25 15 7 5 4 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 7 8 9 9 9 8 8 8 8 12 11 8 7 6 6 6 8 7 6 8 8 7 7 7 6 5 4 4 4 4 4 4 5 -1 -13 -10 0 1 -5 -4 2 3 3 4 4 4 4 4 4 3 4 3 2 2 2 2 2 2 3 3 2 3 3 3 3 3 3 4 4 3 2 2 3 3 2 2 2 2 2 2 3 2 2 2 3 3 3 3 4 9 12 13 10 7 6 4 3 3 4 5 5 4 3 3 2 3 3 4 4 5 5 6 10 15 15 9 5 4 2 -1 1 5 6 7 7 6 5 4 3 4 6 8 6 5 7 7 6 5 5 4 4 3 3 3 4 5 7 8 8 7 7 7 7 7 7 6 6 8 13 18 20 17 13 10 8 6 5 5 6 7 7 7 4 2 1 1 2 2 0 0 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 7 3 2 2 2 2 2 2 2 3 4 5 5 4 5 7 7 7 6 5 4 4 4 3 4 4 5 5 5 5 4 4 3 3 3 2 3 3 2 3 3 3 4 3 3 4 4 4 4 3 4 4 3 2 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 5 4 5 5 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 5 4 5 6 7 7 6 6 6 7 8 8 9 8 7 6 6 6 6 6 5 5 5 4 4 10 9 3 5 7 1 2 4 4 3 8 9 5 1 0 3 8 7 3 2 8 9 6 6 3 1 2 4 4 7 9 6 6 8 7 6 7 12 9 5 4 4 3 5 8 7 4 3 0 -1 4 9 7 7 11 13 11 8 6 5 3 4 7 12 21 23 15 7 5 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 5 5 5 5 5 6 6 6 6 6 6 6 7 8 9 9 9 8 7 7 12 15 8 5 6 5 4 5 4 4 5 6 6 6 5 6 5 5 5 5 5 4 4 5 4 -3 -11 -5 7 5 -1 1 3 3 4 3 3 4 4 4 4 4 3 2 2 2 2 3 3 2 2 2 2 1 1 1 2 2 2 3 2 2 3 3 4 5 5 4 4 2 2 2 2 2 2 2 2 2 3 7 12 12 10 7 4 4 4 3 4 4 5 4 4 4 3 2 1 1 -0 -1 0 0 0 3 7 10 8 6 6 4 2 3 7 8 7 7 6 6 6 7 6 6 8 7 8 8 7 6 5 4 3 3 3 4 4 4 4 6 7 7 7 7 7 8 8 7 6 6 7 9 11 11 10 8 7 6 5 5 6 6 7 8 7 5 2 1 2 3 2 1 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 14 12 6 3 2 2 3 2 1 1 2 3 5 5 3 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 2 1 1 2 2 2 2 2 3 3 2 2 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 3 4 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 5 4 5 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 4 5 4 4 5 4 4 5 5 4 4 3 4 4 4 5 6 7 8 8 7 7 8 8 8 8 8 7 6 6 5 6 6 6 5 4 3 5 9 8 4 6 4 1 6 6 1 2 7 12 12 7 3 6 11 7 3 2 4 8 12 9 4 3 6 8 1 -1 1 0 2 3 0 2 3 5 2 4 5 4 1 2 5 1 2 6 5 5 11 13 9 10 12 10 8 8 7 5 4 5 8 14 19 14 7 5 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 5 6 7 7 8 9 9 8 7 11 15 9 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 6 6 6 5 5 5 5 3 -5 -9 -0 7 5 3 4 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 4 3 2 2 1 1 1 1 0 -0 -1 0 1 2 3 4 7 9 11 11 10 7 4 2 2 1 2 2 2 2 4 9 13 11 7 5 4 4 4 4 4 4 4 4 4 4 3 2 -1 -3 -6 -8 -6 -6 -6 -3 1 5 6 6 6 6 6 7 8 8 5 5 9 7 6 10 11 8 8 8 8 7 7 6 6 4 3 3 4 5 5 4 4 5 6 7 7 7 8 9 9 8 7 7 7 8 8 7 7 6 6 5 5 5 5 6 7 8 7 5 2 1 2 4 3 2 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 13 13 11 6 3 3 3 3 2 1 1 3 4 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 3 2 2 3 3 2 2 3 2 2 2 2 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 3 3 3 4 4 4 6 7 8 10 9 9 9 9 8 8 8 8 7 6 5 5 6 5 5 4 3 6 10 7 2 4 2 0 2 1 2 6 6 7 7 5 3 8 13 8 5 10 7 7 12 9 5 6 6 5 3 2 -1 -3 -2 -2 -2 3 4 6 1 0 1 2 2 -7 -2 3 7 11 0 3 12 12 12 10 9 6 5 6 6 5 4 4 8 15 14 8 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 5 5 5 6 6 7 7 9 9 9 8 9 13 10 5 5 6 7 7 6 5 5 5 5 6 5 4 5 5 5 6 7 6 5 5 5 5 2 -5 -10 -3 4 6 5 5 5 5 5 5 5 5 6 5 5 4 5 6 7 7 7 5 3 2 2 4 5 4 1 -1 -3 -2 1 3 4 6 8 11 14 17 17 17 12 7 4 2 1 1 1 2 5 10 11 8 5 4 5 5 5 5 5 4 4 4 4 3 2 2 -0 -4 -5 -6 -5 -4 -5 -3 2 5 5 4 6 6 6 8 8 6 5 4 4 3 4 9 12 10 9 9 7 7 7 6 5 4 3 3 3 3 2 2 4 5 6 6 6 6 7 9 10 10 9 8 8 8 7 7 7 6 6 6 6 5 5 6 7 7 6 4 2 2 2 4 7 9 6 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 11 11 8 6 5 4 4 3 1 0 1 3 5 5 4 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 3 3 3 4 4 5 4 4 4 4 4 4 3 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 5 5 4 3 3 4 4 3 3 3 3 4 4 4 5 6 8 10 11 10 10 10 9 8 8 8 7 6 5 5 6 5 4 3 3 4 7 8 6 4 2 2 4 5 3 3 4 2 2 2 4 11 9 5 6 11 13 9 8 7 7 6 6 5 5 2 -2 -5 -6 -6 1 9 10 11 5 1 -2 1 4 5 3 -0 3 6 -2 -1 6 8 9 11 9 6 4 3 4 5 5 8 14 18 12 6 4 4 4 3 3 3 3 3 3 3 2 2 2 3 3 2 2 3 4 3 3 4 3 3 4 3 3 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 6 7 8 8 8 9 8 13 14 9 5 6 6 7 6 5 5 5 5 6 6 6 6 5 5 5 5 6 6 5 5 5 5 2 -4 -8 0 6 6 6 6 6 5 5 5 5 5 5 5 5 7 8 9 10 11 9 6 4 5 9 11 11 7 2 -1 -0 2 4 5 6 7 9 12 16 20 25 24 17 9 4 2 1 1 1 5 9 9 6 5 5 4 5 5 5 5 4 4 4 3 2 0 1 2 2 2 1 1 3 2 1 3 5 5 4 5 5 5 6 5 6 8 6 1 -1 2 7 9 9 11 10 8 8 7 6 5 4 4 3 4 2 -1 -1 2 5 6 5 5 6 7 8 10 10 8 6 5 4 4 4 6 7 6 6 5 5 6 6 7 6 4 2 2 1 1 5 14 20 14 2 -0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 7 8 8 8 7 7 5 4 2 0 -0 2 4 5 4 4 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 4 5 4 4 6 8 10 11 11 11 10 9 8 8 8 6 6 5 6 6 5 3 2 2 4 7 8 6 5 6 9 10 6 6 7 4 3 3 8 13 5 2 7 11 17 13 11 8 7 5 4 5 4 1 2 1 -5 -7 2 11 12 13 13 6 2 2 1 5 8 6 6 3 4 2 6 8 11 11 7 5 5 3 4 7 10 14 20 18 9 5 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 4 5 5 6 7 8 8 9 13 21 19 12 8 7 6 6 5 5 5 5 5 7 7 7 6 6 5 5 5 6 6 5 5 4 5 3 -5 -2 4 6 7 7 6 6 5 5 5 5 4 4 6 8 10 12 14 14 12 8 6 8 11 14 14 11 5 2 3 3 4 5 5 6 6 7 10 17 26 32 30 20 10 4 2 2 2 5 7 7 5 4 4 4 4 5 5 5 5 5 5 4 4 1 -2 2 6 5 5 4 4 4 3 2 3 3 4 4 5 7 6 5 6 11 11 4 -0 2 5 7 8 10 10 10 9 8 6 5 5 4 3 4 5 3 1 1 4 6 6 5 5 6 7 8 8 6 2 -1 -3 -2 0 3 6 7 6 5 5 6 7 7 5 3 2 2 1 1 6 16 23 15 4 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 2 5 6 6 7 9 9 7 5 3 2 1 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 4 4 3 2 2 3 2 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 5 4 4 3 3 3 3 4 4 3 4 5 4 3 4 5 7 9 11 10 10 9 8 8 7 7 6 5 6 6 5 4 2 2 2 6 6 5 6 8 7 6 9 12 12 10 6 4 8 13 9 7 9 12 18 16 12 11 8 3 -1 2 5 6 7 7 -1 -5 0 8 12 12 12 3 5 4 1 3 6 11 13 2 3 2 6 13 19 15 8 5 3 1 4 8 11 16 20 14 6 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 7 7 6 5 5 5 5 5 4 5 5 6 7 8 11 19 24 23 20 16 13 11 9 7 7 7 6 6 6 7 7 6 5 5 5 6 5 6 5 5 5 4 -1 -1 3 5 6 7 7 6 5 5 5 4 4 4 5 8 11 15 18 18 15 9 5 5 6 8 9 8 6 4 4 4 3 4 5 5 5 5 7 13 22 32 36 30 20 9 4 4 5 7 7 5 4 3 4 4 4 4 4 4 5 5 5 5 8 10 4 2 4 5 5 4 4 3 4 4 4 4 5 6 8 10 9 7 7 10 12 9 4 3 5 6 7 9 11 11 10 9 6 5 5 4 4 5 8 9 9 7 5 7 7 6 5 5 5 6 5 2 -1 -5 -7 -5 -1 2 5 7 8 6 6 7 8 7 5 4 3 3 2 2 5 13 16 11 6 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 0 1 4 4 4 5 8 9 8 6 5 4 4 3 3 2 2 3 3 4 4 4 4 5 5 5 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 5 4 4 3 4 3 3 4 3 3 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 6 5 6 6 6 5 5 5 3 3 3 4 4 4 4 4 5 4 3 3 4 4 6 9 9 9 9 9 8 8 7 6 6 6 6 6 5 3 2 2 3 6 6 7 9 6 4 9 11 10 9 6 5 7 11 14 13 9 8 9 15 13 10 9 6 4 7 10 5 4 5 1 -2 -1 6 12 11 5 -3 1 3 5 13 10 10 3 -3 -4 3 9 14 20 17 10 5 2 3 5 6 8 15 17 9 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 5 4 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 5 6 6 7 9 16 21 23 23 24 21 18 16 15 15 13 11 8 7 6 6 6 6 6 6 6 7 8 7 6 5 3 2 3 5 5 6 7 6 5 5 5 5 5 4 5 8 11 16 21 21 15 8 2 -3 -2 2 3 3 4 4 3 2 2 3 5 5 5 5 6 10 17 26 34 34 26 17 12 12 13 12 8 4 3 2 2 2 3 3 3 3 4 4 4 4 8 14 12 5 5 5 4 4 3 4 5 7 9 9 9 9 11 13 11 9 8 7 7 8 6 5 5 5 6 8 11 12 11 9 7 6 5 5 4 5 7 9 8 8 7 8 8 7 6 4 4 4 3 0 -3 -5 -5 -4 -0 3 6 8 9 7 7 7 8 7 5 3 4 4 4 4 6 10 8 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 2 3 3 2 3 5 8 8 7 6 6 6 5 4 3 2 2 3 3 4 4 5 5 5 5 6 6 5 5 5 5 6 6 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 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 3 3 3 4 4 4 5 6 5 3 3 3 4 6 8 9 9 9 9 8 8 8 8 6 5 6 6 5 4 3 1 1 7 8 8 4 3 5 7 6 4 2 2 3 6 11 13 10 6 3 1 11 15 12 10 10 17 22 16 1 -3 1 1 1 1 7 11 7 -1 -1 2 3 9 11 5 5 5 4 3 7 12 13 12 10 7 5 4 7 9 7 10 17 14 6 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 2 2 2 3 3 3 3 3 4 3 4 4 4 4 4 5 5 5 6 6 5 6 6 5 5 5 5 4 4 4 5 5 6 6 5 6 10 12 15 19 20 20 21 21 22 21 19 16 11 8 8 8 8 9 11 14 16 14 11 10 8 6 3 3 4 5 5 6 5 5 4 4 5 5 4 4 6 10 15 21 20 13 5 -2 -6 -3 1 2 2 3 5 4 -1 -4 -1 3 5 5 6 6 8 11 18 24 27 25 21 19 20 22 18 8 1 2 2 1 0 2 2 0 -2 -0 1 1 2 5 11 11 7 5 5 4 3 3 3 6 10 13 13 13 10 9 9 9 8 6 6 5 5 5 5 5 5 5 7 9 12 13 11 9 7 6 5 5 4 5 5 4 4 5 7 9 9 7 5 5 3 2 1 -1 -2 -2 -0 3 5 8 10 9 8 6 6 7 6 3 3 4 5 4 4 6 6 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 nan
nan nan nan nan nan nan 3 4 4 2 0 0 3 5 7 8 8 8 7 6 5 4 3 2 3 3 3 4 5 5 5 5 5 6 5 5 4 5 5 6 5 5 5 4 4 4 4 4 4 5 4 4 4 3 4 4 4 4 4 4 3 3 4 3 2 3 3 3 3 3 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 3 3 4 4 5 6 7 6 4 3 4 5 6 8 10 10 9 9 8 8 8 9 8 6 5 5 5 4 3 1 1 4 6 7 0 3 9 6 -2 3 6 7 4 3 7 9 6 4 3 2 7 14 15 11 9 16 20 13 4 1 2 5 7 5 7 10 4 -3 3 5 7 12 6 3 5 14 16 18 13 8 11 9 5 6 5 6 7 7 10 18 20 12 5 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 5 4 4 4 6 7 9 12 14 14 14 16 19 19 20 18 15 14 17 20 20 19 18 17 17 16 12 6 2 4 4 4 4 5 5 4 3 4 5 5 5 4 4 7 11 16 17 11 3 -2 -1 2 4 3 2 4 9 12 4 -9 -11 -1 5 5 5 6 7 8 10 13 16 17 16 18 23 27 20 3 -6 -2 2 1 -2 -2 -1 -3 -6 -6 -5 -4 -2 1 6 8 6 5 5 5 5 6 7 7 8 10 10 10 8 6 6 6 6 5 5 5 5 5 5 5 5 5 5 8 11 13 12 10 9 8 7 6 4 3 3 3 3 3 4 7 9 9 8 6 5 4 3 3 2 2 3 5 7 9 10 9 7 6 6 6 5 3 3 4 4 3 3 4 3 3 4 5 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 4 5 4 3 0 -0 0 2 4 7 9 9 8 7 6 5 4 3 3 3 3 3 4 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 2 3 3 3 3 3 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 6 6 7 7 6 5 4 4 5 5 6 8 7 5 4 4 5 6 8 10 10 10 9 8 7 7 10 11 8 5 4 5 3 2 3 1 -1 3 6 -1 3 11 10 -0 9 15 11 4 1 4 8 6 4 4 4 6 12 17 14 10 9 8 4 6 5 4 8 9 8 7 7 2 -1 2 5 10 10 7 5 3 11 19 23 15 8 8 7 8 7 6 6 6 6 14 23 18 8 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 5 4 4 4 3 4 5 6 5 6 8 9 13 17 19 18 18 18 17 14 11 9 11 12 13 10 3 2 3 3 3 3 4 5 4 3 3 4 5 5 4 1 2 6 8 7 4 3 2 4 6 6 3 3 5 12 17 12 -2 -12 -7 3 5 5 5 5 6 6 7 8 9 9 11 17 24 19 0 -13 -11 -3 1 -2 -4 -3 -3 -5 -6 -6 -5 -1 1 2 4 5 5 6 6 8 11 13 10 8 8 6 5 6 6 6 5 5 6 6 6 5 5 4 5 5 4 5 7 10 12 12 10 10 9 7 6 4 3 3 2 3 4 3 4 7 10 10 8 7 5 4 3 4 5 6 7 8 10 9 8 6 5 6 6 5 3 2 3 4 3 2 2 3 3 4 3 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 6 5 5 4 2 -0 0 1 1 4 7 9 9 8 6 5 5 4 4 4 3 3 3 4 4 4 4 5 4 4 4 4 5 5 5 5 5 4 5 5 4 5 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 6 6 7 8 9 8 6 5 5 5 6 7 7 7 5 4 5 6 6 7 9 10 11 10 8 7 6 8 10 9 6 4 4 2 1 3 3 -2 3 7 3 3 6 3 6 11 16 6 6 3 3 5 5 1 4 7 7 10 13 14 12 10 7 2 3 5 4 5 6 7 5 5 2 -0 1 5 9 6 5 4 3 5 14 16 12 9 8 6 8 8 6 5 4 6 17 21 12 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 3 2 2 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 7 6 5 4 4 4 4 4 4 4 4 4 4 7 8 10 11 10 6 3 4 4 3 3 4 5 4 2 1 2 3 3 3 4 4 4 3 3 3 5 6 6 2 -3 1 5 -1 -6 -2 3 5 6 5 3 3 4 11 19 15 3 -3 -2 2 5 5 5 4 5 5 5 5 5 5 6 10 16 16 5 -8 -15 -10 -3 -2 -2 -1 -1 -1 0 1 1 2 3 3 3 4 5 6 7 8 11 14 13 10 9 6 4 5 6 6 6 6 6 6 6 5 5 4 5 5 4 4 6 9 11 11 10 9 9 8 7 5 4 2 2 2 3 2 3 5 8 10 10 8 5 3 3 5 7 8 8 9 10 9 7 5 4 5 6 4 2 2 3 4 3 2 2 3 3 3 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 7 6 5 5 3 2 1 1 1 2 4 6 7 7 6 5 5 5 5 5 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 3 3 3 4 3 3 3 3 3 3 4 4 4 3 3 3 4 3 3 4 3 4 4 4 4 4 3 3 2 2 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 4 3 3 4 4 4 4 5 5 5 5 6 6 5 5 4 4 4 5 6 7 9 11 11 10 9 7 6 5 6 6 7 6 5 4 4 4 5 6 8 9 10 10 9 8 7 6 8 10 8 5 3 1 2 3 3 2 4 9 10 3 4 1 5 2 10 4 11 7 2 -1 1 1 5 6 6 6 7 9 11 10 6 2 4 6 3 1 5 5 1 2 3 1 4 6 6 2 1 3 5 1 7 8 9 8 9 8 8 7 4 3 4 10 21 19 7 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 4 4 3 3 3 4 4 3 2 1 2 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 6 7 6 5 4 4 4 4 4 4 3 3 4 5 6 6 5 5 4 3 3 4 4 3 3 3 2 2 1 2 3 3 3 4 4 4 4 3 3 4 5 9 9 2 1 7 4 -8 -12 -6 2 4 4 4 3 4 7 16 16 4 1 5 5 5 4 4 4 4 3 3 3 4 4 2 3 7 11 10 1 -6 -6 -2 0 2 2 2 2 3 4 4 5 4 4 5 5 5 6 7 4 3 8 10 8 7 5 4 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 7 8 10 9 8 9 8 7 7 5 3 2 1 1 1 2 4 6 9 9 8 5 4 5 7 7 8 9 10 9 8 6 4 4 4 5 4 2 1 2 3 4 4 3 2 3 4 3 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 8 7 7 6 5 4 4 3 2 2 2 3 5 6 6 5 5 5 5 5 5 4 3 3 4 5 5 5 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 3 3 3 2 2 3 2 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 3 4 5 5 5 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 7 9 12 14 15 14 11 8 6 5 5 6 6 5 5 4 3 3 3 5 6 7 9 9 10 9 8 6 6 8 9 6 2 0 2 4 4 4 3 9 11 3 2 9 6 -3 7 12 15 9 4 -3 -0 5 7 4 3 2 2 4 7 6 3 3 5 4 1 4 7 5 3 2 2 5 11 9 4 -0 -2 1 4 1 4 6 7 5 4 8 8 6 4 3 5 14 22 15 6 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 3 2 1 2 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 6 7 6 5 5 4 4 3 3 3 3 4 5 7 7 6 6 6 6 6 5 5 5 5 5 4 2 1 2 2 3 3 4 5 5 4 3 3 4 5 7 10 9 7 12 14 4 -9 -14 -7 1 2 2 2 3 5 8 10 6 3 5 6 5 4 3 2 2 2 -1 -4 -1 1 -2 -5 -2 4 8 8 7 5 3 2 1 3 4 4 4 3 3 4 5 6 7 8 10 10 9 7 2 2 5 5 5 5 5 4 5 5 5 6 7 7 6 5 5 5 6 6 5 5 4 4 7 9 9 9 9 8 8 8 7 5 3 2 1 1 1 3 4 6 8 7 6 5 6 6 6 8 8 9 9 7 5 4 4 4 4 4 3 2 2 3 5 5 4 3 4 5 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 5 7 7 8 7 6 6 6 5 5 3 2 2 3 4 5 4 5 5 5 6 6 5 4 3 4 4 5 5 5 4 3 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 6 8 12 17 21 21 17 12 8 6 5 4 5 5 5 4 4 3 2 2 4 6 7 8 9 10 11 10 8 6 7 8 7 3 -0 1 5 5 5 2 4 7 10 -3 2 6 2 1 11 12 6 6 0 1 4 4 4 1 -1 1 3 6 4 2 3 4 2 5 9 7 7 8 3 0 8 13 13 6 1 0 4 6 1 -0 3 5 2 1 7 7 6 5 4 7 17 21 12 5 4 4 4 4 3 4 4 4 5 5 4 4 4 3 4 4 4 4 3 4 4 3 3 3 4 3 3 3 3 4 4 3 1 2 3 4 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 4 4 3 3 3 3 4 5 6 7 8 7 6 6 5 4 4 4 4 5 4 2 2 2 2 3 4 5 5 5 4 4 4 4 4 5 6 7 8 13 17 12 2 -10 -13 -6 -4 -2 -4 -1 4 4 5 5 4 5 5 5 4 2 1 1 1 -1 -6 -8 -4 -3 -5 -6 0 6 9 10 9 7 3 1 3 6 6 6 6 5 7 10 12 11 10 9 10 11 10 7 4 4 4 5 5 5 5 4 4 4 5 7 7 6 5 5 5 6 7 7 5 4 4 5 7 9 10 9 9 9 9 8 8 6 4 2 2 2 2 3 5 7 8 8 6 5 4 5 6 8 8 8 7 5 4 5 5 5 5 4 3 3 4 5 5 5 5 5 5 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 5 7 8 8 7 7 7 7 6 5 4 3 2 2 3 4 4 4 4 5 5 5 4 4 4 4 5 5 4 3 3 4 4 3 3 3 2 3 3 3 3 3 3 3 3 2 2 3 2 2 2 2 2 1 2 2 3 3 3 3 2 2 2 3 3 4 3 3 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 4 4 4 4 5 6 9 15 22 28 27 21 14 9 6 4 4 4 4 4 4 3 2 2 3 4 6 7 8 9 10 12 11 10 7 7 7 7 4 1 1 4 6 6 3 -1 8 18 4 -2 1 0 -7 5 6 4 6 5 7 6 4 4 1 -2 1 6 9 6 2 3 2 3 9 11 4 7 11 5 1 8 9 10 7 4 6 13 9 0 -2 1 2 1 4 5 5 5 4 4 9 20 20 10 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 4 3 3 3 4 4 4 3 2 3 4 4 4 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 4 3 3 3 3 3 3 4 4 3 2 2 2 4 5 5 6 5 4 4 4 4 4 4 4 4 6 11 17 13 6 1 -5 -5 -4 -5 -8 -9 -2 2 4 4 5 5 6 7 5 2 3 3 2 2 1 -3 -3 1 2 0 2 6 8 9 9 8 4 4 6 8 7 9 14 13 11 13 14 13 12 7 6 8 7 6 5 4 4 5 5 5 5 4 4 3 5 6 7 6 6 6 5 5 6 6 6 5 4 5 6 7 9 9 10 10 10 10 9 8 6 5 4 3 3 3 4 7 8 9 8 5 4 4 5 7 7 7 6 6 5 6 6 6 5 5 4 4 4 5 5 5 5 4 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 4 6 6 7 7 7 7 7 7 6 5 4 3 3 3 3 3 3 3 4 4 5 4 4 4 4 3 3 3 2 2 3 3 3 3 3 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 4 3 4 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 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 5 4 5 4 4 4 4 3 3 4 4 4 5 5 5 5 5 4 4 4 4 5 7 11 18 26 32 31 23 15 10 6 4 4 3 4 3 3 3 2 2 3 6 7 8 9 10 11 12 12 11 8 7 7 6 5 3 3 4 7 8 4 -2 8 15 7 -1 4 1 -8 2 1 3 1 7 13 13 12 10 5 2 1 5 11 7 3 6 4 4 6 5 4 10 13 6 3 5 5 5 4 4 8 14 7 3 3 2 1 4 10 5 4 5 4 5 11 20 18 7 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 4 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 2 3 4 6 6 6 5 4 4 4 4 4 4 4 4 5 9 18 18 9 6 4 3 3 -1 -6 -11 -8 -4 -1 2 4 5 6 8 8 4 7 10 7 5 5 5 5 5 6 6 5 6 7 6 6 6 5 5 8 10 8 8 14 16 14 12 10 9 10 8 5 6 6 6 5 4 4 4 4 5 5 4 4 3 4 5 6 6 7 6 5 4 5 5 6 6 5 5 5 5 6 8 9 10 11 11 10 10 9 8 6 5 4 4 5 6 9 9 8 7 6 5 6 7 7 7 6 7 6 6 6 6 6 5 4 4 4 5 5 5 4 4 4 4 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 4 5 5 6 6 7 8 7 6 5 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 2 1 2 2 3 3 3 2 2 2 2 2 1 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 4 5 7 13 21 30 33 29 22 15 10 7 5 4 4 4 4 3 4 3 3 6 7 8 9 9 10 11 13 13 11 8 7 7 6 5 4 4 4 6 9 6 0 7 9 2 -1 13 9 -3 -4 -5 3 -2 7 12 15 18 17 11 6 2 6 12 11 10 11 7 4 2 2 7 16 14 5 1 3 4 4 4 3 7 9 6 8 10 6 6 10 12 7 6 6 5 7 13 21 17 6 4 4 4 3 3 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 5 4 4 3 3 3 4 4 3 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 3 3 4 4 3 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 3 3 4 4 4 3 4 5 6 6 6 5 4 4 3 3 3 4 4 4 4 5 12 19 18 13 7 7 8 5 -0 -5 -7 -9 -7 -2 2 4 4 6 8 5 7 12 10 7 5 5 6 6 6 5 5 6 5 3 4 5 5 2 5 8 8 8 9 10 10 8 5 4 6 6 5 5 6 6 6 5 4 4 4 4 5 5 5 3 3 4 5 6 7 7 5 4 4 5 5 5 6 5 5 5 5 5 6 9 10 10 11 10 11 10 9 8 6 5 5 7 8 9 9 8 7 6 6 7 7 7 7 7 7 6 6 6 5 5 4 4 4 5 5 5 4 4 4 3 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 3 2 2 2 3 4 4 5 6 7 7 7 6 5 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 2 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 3 2 3 4 3 3 3 2 2 1 1 2 2 2 2 2 2 3 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 5 6 6 5 5 6 10 19 28 33 30 24 18 13 9 7 5 4 4 5 4 4 4 5 6 8 10 9 9 9 9 11 13 13 11 8 7 7 6 4 5 5 4 5 9 9 4 10 11 0 1 19 17 5 -4 -3 6 2 3 4 8 16 14 11 7 4 10 14 13 15 12 8 5 6 5 8 14 11 1 -1 4 6 5 5 5 8 8 6 11 12 8 11 13 7 5 7 6 5 8 15 22 14 6 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 3 3 3 3 4 4 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 5 4 3 3 2 2 3 4 4 4 4 4 6 10 18 19 13 10 10 8 4 2 0 -3 -8 -6 -0 1 1 1 1 1 4 8 9 6 4 4 4 5 5 4 4 5 6 4 3 6 7 2 3 6 6 6 6 5 4 4 4 3 3 4 4 5 6 6 6 5 5 5 5 5 5 5 5 4 2 3 4 5 7 6 5 4 5 5 5 5 5 5 5 6 6 5 3 6 9 10 11 11 11 11 10 9 8 6 6 7 7 8 9 8 7 7 7 7 8 8 7 7 7 6 6 5 4 4 4 4 5 5 5 5 5 4 4 3 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 4 3 2 2 1 2 2 3 4 6 7 7 6 6 6 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 1 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 6 6 10 22 32 34 31 24 18 14 11 8 5 4 4 5 5 4 4 5 6 7 9 10 9 8 8 8 10 12 12 10 7 7 7 6 6 6 7 5 4 6 5 2 10 13 6 5 15 15 6 -0 5 13 8 3 1 4 10 5 5 8 7 13 15 14 12 9 5 5 7 6 6 8 6 -1 -3 5 9 6 4 4 10 11 8 8 9 9 13 11 6 4 6 6 6 9 15 18 10 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 4 4 3 3 4 5 5 5 5 5 6 6 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 3 4 5 4 4 4 5 5 8 14 15 14 15 14 10 7 6 4 1 -1 1 1 -0 1 -1 -1 3 5 5 6 5 3 5 6 5 4 4 7 9 8 6 8 8 6 3 4 5 5 5 5 4 3 3 3 3 3 3 4 5 6 7 6 5 5 5 5 5 5 6 5 3 3 3 5 5 6 6 5 5 5 5 5 4 5 6 6 7 8 6 5 7 10 11 11 11 11 11 11 9 8 7 7 7 8 9 8 8 8 8 7 8 7 7 7 7 6 6 5 5 4 4 4 5 6 6 5 5 5 5 4 4 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 6 5 4 2 2 1 1 1 2 2 3 5 6 7 8 7 6 5 4 2 2 2 2 2 1 1 1 2 2 2 2 2 2 1 0 0 1 1 2 3 2 2 2 2 2 2 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 6 6 6 7 8 8 8 7 7 19 42 44 32 22 16 12 10 9 7 5 4 4 4 4 5 5 5 6 7 8 9 9 7 7 8 9 10 10 9 8 7 6 6 6 6 9 6 2 1 -1 -1 3 6 10 11 14 12 1 -3 8 16 12 6 3 5 7 3 2 7 9 12 13 11 9 6 5 6 6 4 2 3 3 2 4 10 10 5 0 2 8 11 7 4 5 7 10 8 6 6 7 6 6 7 10 11 11 8 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 4 4 3 3 4 5 4 4 4 5 5 5 5 5 4 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 5 4 4 4 4 4 4 4 4 5 5 5 4 4 3 2 2 3 3 4 4 5 5 4 5 5 6 6 8 10 12 15 16 14 11 10 10 8 7 8 6 5 5 4 3 6 5 4 6 7 9 11 8 8 6 5 10 12 9 7 8 7 6 4 3 3 4 4 4 4 4 3 2 2 2 3 4 5 6 7 7 6 5 5 5 6 6 6 6 4 4 4 5 6 6 5 5 6 6 6 5 4 4 6 6 6 8 8 6 7 9 10 11 12 11 11 11 10 9 7 6 7 9 9 9 9 8 7 6 6 6 6 7 7 6 6 6 5 5 5 4 5 6 6 6 6 6 6 5 5 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 6 5 4 4 3 3 2 2 1 2 3 5 6 8 8 8 7 6 4 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 3 3 3 3 2 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 4 4 4 4 4 3 3 3 3 4 4 4 5 6 6 7 8 9 10 9 8 11 29 48 39 20 11 10 10 9 8 6 5 4 3 3 4 4 5 5 6 7 7 7 8 7 7 8 8 9 10 10 9 8 6 5 5 5 8 8 6 3 1 1 1 3 7 7 9 6 0 -1 5 9 10 10 9 7 8 8 4 6 8 8 9 8 6 4 4 4 3 1 -2 -1 3 5 7 11 10 1 -2 0 5 7 3 1 3 4 7 8 7 6 4 3 3 4 5 8 15 13 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 7 7 6 7 7 8 10 12 11 10 12 11 11 14 13 9 7 7 7 7 7 7 8 9 14 16 10 10 8 4 8 10 6 5 5 5 4 3 3 3 3 3 3 3 4 3 3 3 4 4 4 5 6 6 6 6 6 5 5 5 6 7 6 6 5 5 5 6 6 6 6 6 6 6 5 4 4 5 6 6 7 6 6 7 8 9 10 11 11 10 10 10 9 8 7 7 8 9 9 9 8 7 6 6 6 6 6 7 6 6 6 6 5 5 4 4 5 5 5 5 6 6 7 7 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 6 6 6 6 6 6 5 4 3 1 1 2 4 5 6 8 8 9 8 7 6 5 4 3 3 3 3 3 3 2 2 2 2 2 1 1 1 2 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 3 4 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 5 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 6 7 9 10 11 10 10 17 28 30 21 11 5 5 8 8 7 6 5 4 3 3 3 4 4 5 6 6 5 6 7 8 8 8 8 8 9 10 9 6 6 7 7 5 5 10 9 6 8 8 6 5 4 1 -4 -4 1 4 4 4 8 16 20 15 11 9 6 4 4 4 7 6 5 1 0 3 2 2 -2 1 7 5 5 9 7 -3 -3 0 2 1 -1 1 4 10 11 8 4 -0 -2 -0 3 3 3 11 21 16 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 4 4 3 4 4 4 3 4 3 3 3 4 5 6 6 5 5 6 6 5 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 5 6 6 7 7 7 6 5 6 7 8 7 8 8 8 12 16 14 8 8 9 7 7 7 8 10 11 12 10 9 8 4 4 6 4 2 3 4 4 3 2 2 2 2 3 3 3 3 4 7 8 6 4 4 5 6 6 6 6 6 5 5 6 6 7 7 6 6 5 5 6 7 7 7 6 6 6 5 4 4 5 6 6 6 6 6 7 8 9 10 10 10 9 9 9 9 8 7 7 8 9 10 9 8 7 7 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 6 7 8 8 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 5 5 5 6 7 7 6 5 4 2 2 3 4 4 5 6 7 9 9 9 8 7 6 5 4 4 4 4 3 3 2 2 3 2 1 1 1 2 2 2 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 3 3 3 2 2 2 3 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 4 3 4 4 5 4 5 6 6 8 10 12 12 11 13 20 24 15 7 6 5 4 6 7 6 6 5 5 3 2 2 3 4 5 6 6 5 5 6 7 8 8 8 7 8 9 7 5 6 9 11 5 4 11 8 5 8 10 9 8 4 -1 -5 -2 3 5 4 4 8 18 25 22 15 11 9 5 3 5 9 6 3 -2 -1 4 3 2 2 6 11 3 4 9 6 -2 -3 2 3 1 0 4 9 16 12 5 -1 -6 -5 -2 4 6 6 18 26 13 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 5 6 6 6 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 2 3 2 2 2 2 2 3 3 3 4 4 4 3 3 2 2 2 3 4 4 4 4 4 4 4 4 3 4 4 5 6 6 6 6 5 5 4 4 5 4 4 5 6 7 9 12 10 9 9 7 7 6 6 6 5 5 6 6 6 4 3 3 3 2 2 2 3 3 3 2 2 2 2 3 3 5 8 13 14 9 5 4 4 5 5 6 6 6 6 5 5 6 7 7 7 6 5 5 5 7 7 7 7 6 6 6 5 4 5 5 5 5 5 5 6 8 8 9 9 9 8 8 8 9 10 9 8 7 8 9 9 9 8 8 7 7 6 6 6 6 5 5 4 4 3 4 4 3 3 4 5 6 8 9 9 9 9 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 5 6 5 4 4 5 6 6 5 5 4 2 2 3 4 4 4 5 6 7 7 8 8 7 8 7 6 5 5 5 4 3 2 2 2 1 0 0 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 4 5 4 4 4 3 3 4 3 4 4 4 4 4 4 5 5 6 6 5 4 4 3 3 2 2 3 3 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 5 6 6 7 9 11 13 14 14 16 22 23 10 2 4 6 6 4 4 5 5 4 5 4 2 1 2 4 5 6 6 6 5 5 6 7 8 8 7 6 6 5 4 6 7 8 7 7 13 6 5 5 5 11 12 4 -1 -1 -0 4 5 5 6 8 13 16 14 13 14 11 6 4 9 11 7 1 -3 -3 2 1 2 3 5 9 1 3 7 4 1 -3 3 7 3 3 8 17 18 10 3 -3 -7 -5 0 6 9 8 19 24 10 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 3 4 4 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 5 5 6 6 7 7 6 5 4 3 4 4 3 4 4 3 3 3 4 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 4 3 3 3 3 4 4 4 3 4 4 4 3 3 3 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 5 6 8 9 9 9 8 7 6 5 4 3 3 3 3 4 4 3 3 2 2 2 3 3 3 2 2 2 1 1 3 4 7 13 18 17 11 5 3 4 4 5 5 6 6 6 6 6 6 6 7 7 6 5 5 5 6 7 8 8 7 6 6 5 5 4 5 6 5 5 5 5 6 7 8 8 8 8 7 7 9 11 11 10 9 8 7 8 8 8 7 7 7 7 7 6 6 5 5 4 3 3 4 4 4 4 4 4 6 8 9 9 9 10 10 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 4 5 4 3 3 3 4 5 4 4 3 2 2 3 4 4 5 6 6 5 4 5 6 7 8 8 7 6 6 5 4 2 1 2 2 1 1 1 1 1 3 3 3 2 3 4 4 4 4 3 3 3 4 5 5 5 4 5 4 4 4 4 5 5 5 4 3 3 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 5 5 4 5 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 5 6 7 8 10 12 15 18 19 19 21 18 7 4 7 7 6 4 3 3 3 4 4 4 3 2 3 4 5 6 6 6 6 5 5 7 8 8 7 5 5 4 2 1 5 9 7 7 7 3 2 2 4 10 12 5 -1 1 2 4 3 4 5 8 9 7 4 5 11 12 6 5 10 11 6 -0 -3 1 2 2 4 -2 -5 5 4 3 2 2 2 -1 5 9 5 5 12 19 19 13 4 -5 -8 -2 8 13 10 8 17 22 11 4 4 4 4 5 4 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 5 7 8 8 7 5 4 4 4 4 4 3 3 4 4 4 3 3 3 4 4 5 5 5 6 6 6 5 5 5 6 5 5 5 5 4 4 4 5 4 4 4 4 3 3 4 4 4 3 3 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 3 5 6 8 9 8 8 8 6 5 4 4 3 3 3 3 3 3 2 3 2 2 2 2 2 2 2 1 1 2 2 5 10 16 19 17 10 5 3 4 4 4 5 6 6 6 6 6 6 6 5 6 7 6 4 4 5 6 7 8 8 7 6 6 5 5 5 5 6 5 5 5 5 6 7 8 8 8 7 7 8 10 11 12 11 10 8 7 7 7 7 7 8 8 7 6 6 5 5 5 4 4 3 4 4 4 5 5 6 7 8 8 9 10 10 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 3 3 3 3 3 3 3 3 3 3 2 2 1 2 3 4 5 6 7 7 5 4 3 4 5 6 8 8 8 7 6 4 1 1 2 3 2 2 2 3 3 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 3 3 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 4 5 5 4 3 4 4 3 3 4 3 3 3 3 3 4 3 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 5 5 6 7 9 10 14 19 24 24 19 15 7 -1 3 8 7 5 3 2 3 3 3 4 5 4 4 3 4 5 6 6 7 7 6 5 6 7 7 6 6 5 5 3 -3 -3 4 5 3 2 3 -0 2 5 6 9 6 -1 2 6 5 1 3 4 7 9 4 -0 -0 5 10 9 8 9 8 4 -1 -1 7 8 10 6 -10 -12 7 11 3 1 2 0 2 4 4 7 12 14 15 20 21 6 -8 -7 5 15 15 8 7 16 23 14 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 3 4 3 3 3 4 4 4 4 4 3 4 6 8 10 9 7 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 4 5 5 5 4 4 4 3 4 4 4 4 3 3 3 3 3 2 2 2 2 2 1 2 2 2 2 2 2 3 4 6 8 8 9 8 7 6 5 4 4 4 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 2 2 5 10 15 16 13 7 4 3 3 4 4 4 5 6 6 6 6 6 5 5 6 6 7 5 5 4 5 6 7 8 8 7 6 5 4 4 5 6 6 6 5 4 5 7 7 8 8 7 7 7 8 11 13 14 13 10 8 7 7 7 7 7 7 7 6 6 5 6 6 4 3 3 3 3 4 4 5 5 5 5 7 8 9 10 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 5 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 5 6 7 7 6 4 3 3 4 5 6 7 8 7 6 4 3 2 3 4 4 3 3 4 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 5 4 5 6 6 6 6 6 7 6 5 5 4 3 4 4 5 5 4 4 3 4 4 4 4 5 4 4 3 3 3 3 4 4 5 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 4 4 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 5 6 7 8 10 13 19 29 33 25 15 10 -1 -5 -3 1 2 2 2 2 3 4 4 6 6 7 6 5 4 5 5 7 8 7 6 5 6 7 6 5 5 4 6 7 4 -2 -4 -1 1 4 3 1 4 7 5 5 6 3 2 5 6 4 4 3 6 8 5 2 1 2 6 9 9 7 3 0 -0 4 8 9 10 4 -11 -8 16 20 0 1 4 -3 2 4 -0 7 18 17 16 26 27 8 -7 -3 11 17 12 4 6 16 24 16 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 4 4 4 4 4 3 3 3 4 4 3 3 3 4 7 9 10 8 7 6 6 5 4 4 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 6 6 5 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 6 8 8 8 7 6 5 4 5 4 4 4 4 3 3 2 2 2 2 2 2 2 2 1 1 2 2 5 9 12 12 8 5 4 1 0 2 4 4 5 5 6 7 6 6 6 5 5 5 5 6 6 5 4 5 5 6 7 7 6 5 4 3 3 5 6 6 6 5 5 5 6 7 7 7 7 7 7 10 12 16 17 14 10 7 6 6 7 7 8 7 6 5 6 6 6 5 3 2 3 3 3 3 4 3 3 4 6 7 9 9 9 8 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 3 3 2 3 2 2 2 3 3 4 4 3 4 5 6 6 6 4 4 4 5 5 6 7 6 4 4 4 4 5 5 4 4 4 5 6 6 6 6 5 5 4 4 4 5 6 7 7 7 6 5 5 4 5 6 6 7 7 7 7 6 5 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 4 3 2 2 2 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 8 10 13 19 29 39 34 18 7 4 1 5 -0 -6 -3 0 2 3 4 5 6 7 8 8 7 6 5 4 5 6 7 7 7 5 4 4 5 5 5 3 2 5 9 10 5 0 -1 2 2 3 7 9 6 4 5 6 6 8 9 8 4 1 3 6 5 4 5 4 2 4 6 4 0 0 2 7 8 7 6 -3 -8 3 26 23 -1 1 6 -2 1 5 -0 4 14 14 21 33 27 7 -3 4 14 16 8 3 5 14 25 18 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 3 3 3 3 3 3 5 7 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 3 4 4 4 4 3 3 3 4 6 7 7 6 5 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 3 3 3 4 5 6 7 8 6 6 5 5 4 5 5 5 4 4 4 3 3 3 3 3 3 2 2 2 1 2 2 3 6 8 7 3 3 5 3 -2 -1 4 4 5 5 6 7 7 6 6 5 5 4 4 5 6 6 5 4 4 4 5 6 6 5 4 4 3 3 5 6 6 5 4 4 5 5 6 7 7 7 7 8 10 16 22 23 18 11 7 7 7 7 8 8 7 6 5 6 6 5 4 3 3 3 2 3 3 2 2 4 6 8 9 9 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 7 7 6 5 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 4 5 6 6 6 5 5 5 4 4 3 3 4 6 7 6 5 4 4 5 5 5 5 5 6 6 6 4 3 3 4 5 6 7 8 7 6 4 4 4 5 5 6 7 7 7 6 6 6 6 5 4 4 3 3 3 3 3 3 4 4 5 5 6 5 4 3 2 2 3 3 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 7 8 10 14 19 26 34 37 27 12 -2 -6 4 11 6 -3 -1 1 3 4 5 8 9 9 9 9 8 7 5 3 4 6 7 8 7 5 3 3 4 5 6 4 3 3 4 6 9 7 3 3 3 4 7 10 10 9 5 7 11 13 10 8 5 0 1 4 4 6 9 8 7 7 4 1 0 4 7 8 7 4 0 -6 -2 13 25 16 -2 0 5 3 3 1 2 6 2 5 27 36 21 5 2 11 16 13 6 3 6 15 25 19 5 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 5 6 7 7 6 6 6 6 5 6 5 5 5 4 5 4 4 4 4 3 3 3 3 3 2 2 2 2 3 3 3 4 4 3 2 2 3 6 8 10 9 7 5 4 4 3 3 3 3 3 2 2 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 4 5 3 1 3 7 7 -0 -2 3 5 5 5 5 6 7 7 6 5 5 5 4 4 5 5 4 5 5 4 5 6 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 6 6 6 6 5 7 12 23 31 29 19 10 6 7 6 7 8 6 6 5 6 7 6 5 4 3 3 3 2 2 2 2 4 5 7 9 9 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 8 8 8 6 5 5 4 4 4 3 3 3 3 4 4 4 3 3 3 3 4 5 7 7 6 5 4 3 2 2 2 4 5 6 6 5 4 4 5 4 4 5 4 5 6 6 5 3 3 4 5 6 7 8 7 6 4 4 4 5 5 5 6 6 6 6 6 6 7 6 4 3 2 2 2 2 3 2 3 4 5 5 6 6 5 4 3 2 2 2 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 7 8 11 15 20 23 25 26 26 20 12 -1 -10 -6 -7 -2 -0 2 2 3 5 7 9 10 9 9 9 8 7 5 4 4 5 7 9 8 6 4 4 5 4 7 9 6 7 6 3 4 4 4 3 4 5 7 12 17 15 8 9 12 12 9 7 5 2 2 3 5 7 10 13 16 15 9 3 4 8 10 9 8 5 -0 -5 1 12 16 9 -1 -2 3 9 8 -1 1 4 -2 10 31 30 14 6 9 15 15 9 5 5 8 17 24 15 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 2 3 3 5 5 6 6 5 5 5 5 5 5 4 3 3 3 3 3 2 2 2 2 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 3 6 10 13 12 8 6 5 4 3 3 3 3 2 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 6 5 4 4 3 2 2 2 3 2 1 3 8 7 1 0 3 5 5 5 5 6 7 7 6 6 5 5 5 4 4 3 3 4 5 5 5 6 7 6 5 5 4 4 4 5 5 6 5 5 5 4 4 5 5 5 5 5 6 9 17 28 33 25 12 7 8 8 7 6 6 6 5 5 6 6 5 4 3 3 3 2 1 1 3 4 5 7 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 7 6 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 3 4 5 6 6 5 4 3 3 2 2 4 4 4 5 4 4 4 5 4 4 3 3 4 4 5 5 3 3 3 4 6 7 7 7 5 4 4 4 4 4 4 5 5 5 5 6 6 6 7 5 3 1 1 2 2 3 2 2 4 4 4 5 6 6 6 4 3 2 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 6 8 9 11 15 18 20 19 16 15 15 14 11 3 -9 -14 -16 -9 1 1 1 3 6 8 9 9 8 9 10 9 7 6 4 4 5 7 9 9 9 6 4 8 5 8 12 7 9 10 5 4 2 2 2 4 5 7 12 16 13 9 11 11 8 6 8 8 6 5 4 5 8 8 12 19 20 15 10 8 10 11 11 7 5 5 3 3 5 8 13 10 4 3 11 9 2 -3 -1 7 22 27 17 9 9 12 13 11 6 4 5 9 17 22 13 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 4 4 4 5 5 4 5 5 4 5 5 5 5 6 6 5 5 4 4 4 4 4 3 3 2 3 3 3 2 3 3 5 5 5 5 5 5 5 4 3 3 2 2 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 1 0 1 1 2 4 8 13 15 13 9 5 4 4 3 3 3 2 2 3 3 5 5 5 4 4 4 3 3 4 4 4 4 4 4 5 5 4 4 4 3 3 3 4 4 4 4 3 4 4 4 5 5 6 6 6 7 6 6 5 4 2 2 2 2 3 3 4 8 6 1 1 4 5 6 5 5 6 6 7 7 6 6 5 5 5 4 4 3 3 3 4 5 7 8 7 6 5 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 7 10 16 23 21 13 11 14 14 11 6 5 5 6 6 6 7 6 5 4 3 2 2 1 1 2 4 5 6 6 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
nan 6 7 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 5 5 4 3 3 3 3 4 4 4 4 3 3 3 4 6 6 6 4 3 4 4 3 4 4 4 5 5 5 5 6 7 7 6 4 3 2 2 2 2 3 3 4 4 4 5 5 6 6 6 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 8 12 11 14 17 15 14 11 10 10 10 9 8 4 -4 -7 -7 -3 2 1 2 4 7 8 8 8 9 11 12 9 7 6 5 5 6 7 8 9 8 4 3 8 7 10 11 8 8 8 3 2 2 3 5 7 5 5 8 8 4 7 11 9 4 4 8 10 11 11 6 5 8 7 7 13 17 16 12 7 5 9 12 6 0 3 10 8 2 4 14 19 12 4 7 3 4 5 6 14 23 17 9 5 7 10 9 5 4 5 5 10 20 24 13 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 5 5 6 6 6 6 5 5 4 4 3 4 3 2 2 2 3 3 3 4 5 5 5 5 5 4 4 3 2 2 2 2 2 3 3 3 2 3 3 3 3 3 4 4 5 6 6 6 4 3 1 1 1 1 2 5 9 13 15 12 8 6 4 4 3 2 2 2 3 4 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 4 4 3 3 3 4 4 4 3 3 3 3 3 4 5 5 6 7 7 8 7 5 4 4 2 2 3 4 5 4 3 3 3 3 4 5 5 5 5 5 5 6 6 6 6 5 6 5 5 5 3 2 2 3 4 6 7 8 7 6 5 5 4 4 4 4 5 5 5 5 4 3 4 4 5 5 5 6 7 10 11 11 10 13 20 25 17 7 4 4 6 7 7 7 7 6 5 3 2 1 1 1 2 3 4 5 5 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 7 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 5 6 6 6 5 4 3 2 3 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 4 5 5 4 3 3 3 3 3 3 4 5 6 6 4 4 6 7 7 6 5 4 3 3 2 3 3 4 4 4 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 6 10 14 12 12 12 8 8 9 11 13 15 15 11 6 2 0 1 2 3 3 4 6 7 7 6 6 8 12 12 10 7 6 6 6 7 7 7 7 6 4 3 4 7 10 9 7 6 7 4 2 3 3 4 5 2 3 6 3 -1 3 7 7 5 4 5 7 12 12 7 4 7 7 9 12 12 10 8 3 1 4 7 5 -1 2 10 9 3 5 8 11 8 4 5 -2 -0 18 20 16 15 8 1 -3 3 6 3 3 5 6 7 11 20 21 10 4 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 5 5 6 6 6 6 6 5 5 4 4 4 3 2 2 3 3 3 4 4 5 4 4 4 4 4 3 3 3 3 3 4 4 5 6 5 4 3 2 3 4 4 5 5 6 8 9 9 7 5 3 2 2 2 3 5 9 12 11 10 7 5 5 4 3 1 1 2 3 4 4 5 4 4 4 3 3 3 3 4 4 4 4 5 5 5 4 5 5 4 4 4 3 3 4 3 3 3 3 3 3 3 4 5 6 7 8 8 7 6 5 4 3 3 5 6 7 5 1 -1 3 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 4 3 2 3 3 4 6 7 7 6 4 4 4 3 3 4 4 5 5 4 4 4 4 4 5 4 4 5 5 6 7 7 8 11 19 26 21 10 5 4 6 7 7 7 7 7 7 5 4 2 1 2 2 2 3 4 5 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 6 6 5 4 4 4 4 5 5 6 6 7 7 6 5 5 5 5 5 4 3 3 4 5 6 7 7 7 6 5 4 3 3 3 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 3 2 2 2 2 2 4 5 6 6 4 4 4 6 7 7 6 5 4 3 2 2 3 4 4 4 4 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 4 5 5 6 5 5 5 6 7 12 15 12 8 6 5 7 9 13 17 23 27 16 6 3 2 2 3 4 4 5 6 6 5 5 5 7 11 14 12 8 7 7 7 8 7 6 5 4 4 5 6 7 7 7 4 3 6 9 11 7 5 7 2 -1 2 6 3 1 2 4 5 6 4 2 4 8 9 9 8 4 7 13 15 13 9 5 1 2 3 3 1 0 4 7 7 7 5 2 2 4 4 4 -3 -7 17 29 17 7 -2 -9 -7 2 4 3 6 7 8 8 9 15 18 11 4 4 5 5 5 4 5 5 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 5 7 8 8 7 5 3 3 4 5 5 5 5 6 8 9 10 10 8 7 6 5 4 4 5 8 8 8 7 6 5 5 4 2 1 1 2 3 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 2 2 3 4 4 5 7 8 8 7 7 6 5 3 4 8 8 7 5 2 1 3 6 5 4 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 4 3 2 3 4 4 6 6 5 3 2 2 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 5 6 7 8 9 13 16 15 11 7 5 5 6 6 7 7 9 9 8 6 4 2 2 2 3 3 4 5 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 8 8 8 7 6 5 5 5 5 4 3 3 3 4 6 7 8 7 7 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 2 3 3 4 4 4 4 3 2 1 1 2 3 5 6 5 4 3 3 5 6 7 7 6 5 3 3 3 3 4 4 4 4 5 6 6 6 6 6 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 6 6 6 7 8 12 16 15 10 6 5 6 8 9 12 16 22 28 15 3 0 2 3 4 4 5 6 6 6 5 5 5 6 9 14 15 11 9 9 7 6 7 6 3 0 -0 4 9 10 8 6 4 6 6 9 10 7 8 15 3 -2 3 4 3 5 6 5 5 5 1 -0 3 5 8 11 9 0 3 11 15 18 16 9 4 3 2 3 4 8 10 7 9 11 4 1 3 6 7 4 0 -2 14 30 14 -1 -9 -9 0 6 7 8 9 7 8 8 7 12 20 16 6 5 5 5 4 4 5 5 4 4 5 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 5 5 6 6 6 6 6 6 5 5 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 5 7 8 8 7 5 4 3 4 5 5 5 4 5 6 7 8 9 10 10 9 9 7 6 6 6 5 4 5 5 6 5 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 6 6 5 5 5 5 5 5 4 4 3 3 3 3 2 2 3 3 4 5 7 8 8 7 7 6 5 4 4 7 9 7 4 3 3 5 7 6 4 3 3 4 4 5 5 5 6 6 6 6 6 7 7 7 5 4 3 3 3 4 5 6 4 3 2 2 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 6 7 8 9 9 8 8 7 5 5 5 5 5 7 9 11 11 10 7 4 2 3 3 4 5 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 4 4 4 4 3 4 4 5 6 7 7 8 9 8 7 6 6 5 5 5 4 3 2 2 3 5 6 7 7 6 5 4 3 3 3 3 3 3 3 4 5 5 5 4 4 3 3 4 4 5 5 5 4 2 1 1 2 2 4 6 5 3 3 3 4 5 6 6 5 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 6 8 13 15 14 10 6 5 5 6 8 9 10 13 17 19 9 1 1 2 4 5 5 6 6 6 5 5 5 5 5 6 12 17 15 12 11 7 6 6 6 5 1 -1 1 8 11 11 8 5 6 3 1 2 9 16 15 2 0 5 4 5 10 9 7 8 5 -0 1 4 5 8 9 4 -0 5 11 13 18 18 14 8 6 4 4 7 9 9 11 17 14 4 3 7 6 9 6 7 7 21 27 6 -10 -7 6 16 15 15 15 11 7 6 6 7 12 21 18 7 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 2 2 3 2 2 1 2 3 4 5 6 6 6 6 5 3 3 4 4 5 4 4 4 4 4 5 5 7 9 12 13 11 8 5 4 3 4 5 6 7 6 5 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 3 3 2 2 3 5 6 7 7 7 7 7 6 5 4 3 5 8 7 3 3 4 6 8 8 6 4 3 3 4 4 4 5 5 5 5 6 6 7 8 8 7 6 4 3 3 4 4 5 5 4 3 2 3 3 4 4 4 4 4 5 4 4 4 4 3 3 3 4 5 5 6 7 7 7 7 7 7 7 6 5 5 5 4 6 8 12 15 14 11 6 3 3 3 3 4 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 5 5 4 4 4 4 4 4 4 3 3 3 4 5 5 6 7 8 9 9 8 6 5 5 5 6 4 2 1 1 2 4 6 6 6 5 4 4 4 3 3 3 3 3 4 5 6 6 4 4 4 5 6 6 6 7 8 6 3 2 1 1 2 3 4 4 3 3 3 4 5 6 5 5 4 4 5 5 5 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 6 9 14 13 9 6 5 5 6 6 7 9 9 10 12 6 2 1 2 3 4 5 5 6 6 6 6 5 5 5 4 5 9 15 16 12 10 8 6 5 7 6 3 2 4 5 7 8 5 4 3 -2 -3 1 6 13 5 -1 2 6 5 8 15 11 5 6 5 4 5 5 5 8 6 1 3 9 14 12 13 11 10 8 7 8 6 7 5 4 10 17 12 4 5 10 7 2 6 14 16 28 21 -3 -10 5 24 30 25 20 16 10 7 6 5 6 11 19 19 9 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 3 3 3 2 2 2 3 2 2 2 3 5 5 5 5 4 4 5 4 4 4 3 4 4 3 3 3 3 3 3 3 4 6 10 12 12 8 5 2 3 5 7 8 7 6 5 5 4 5 5 5 4 4 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 7 7 7 6 7 7 6 7 7 6 5 5 4 3 3 3 3 4 6 6 7 7 7 6 5 4 4 4 5 7 7 3 2 4 6 8 9 7 5 3 3 4 4 4 4 4 4 4 4 5 6 7 8 8 8 6 5 4 4 4 5 5 5 4 4 3 3 4 4 4 4 4 4 5 5 5 4 4 3 4 4 4 5 6 6 7 7 8 8 7 7 6 6 5 4 4 5 9 14 19 19 13 6 2 2 2 3 3 4 6 7 7 7 6 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 5 5 4 3 2 2 2 3 4 5 6 7 8 10 9 7 6 5 5 6 5 4 2 1 0 2 4 5 6 5 5 4 4 4 3 3 3 3 4 6 7 7 6 5 6 8 9 8 8 9 10 8 6 3 2 2 2 3 3 4 3 2 3 4 5 5 5 5 4 5 5 5 5 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 3 2 2 2 3 5 5 6 6 6 6 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 7 12 12 7 5 5 5 5 6 8 9 10 11 8 -2 -3 -0 2 3 4 5 5 6 6 6 6 6 7 6 5 5 8 12 13 9 7 8 5 4 4 1 3 9 12 8 6 4 4 4 4 2 5 4 -0 -5 -8 1 10 9 5 11 19 11 3 1 3 9 10 6 6 7 3 2 7 10 10 10 8 1 -0 4 10 12 6 -0 -3 2 9 10 5 2 5 8 3 -3 5 19 27 28 11 -4 -1 14 26 29 25 18 11 7 6 6 5 5 10 18 20 11 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 4 5 5 6 7 7 7 6 5 5 4 3 3 3 3 2 2 3 4 4 3 3 5 7 7 6 4 3 4 5 5 4 4 3 3 2 2 2 3 3 3 3 2 2 4 6 8 9 7 5 3 3 6 7 7 5 5 4 4 4 4 5 5 4 3 3 3 3 2 3 3 4 4 4 5 6 6 7 7 7 8 8 8 7 7 7 8 11 12 10 9 7 5 4 4 3 3 4 5 6 6 6 5 4 4 3 3 4 4 6 6 4 3 3 5 8 10 9 6 4 3 3 4 4 4 3 3 3 3 3 4 5 6 8 8 8 7 5 5 5 5 5 6 6 4 4 3 3 4 3 4 4 4 5 4 4 4 4 4 4 3 4 5 6 6 6 8 8 8 7 6 6 6 4 3 3 5 9 16 21 20 14 5 1 1 2 1 2 4 5 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 6 6 6 5 3 2 1 2 3 3 4 5 7 8 8 8 7 7 6 6 7 7 5 3 1 1 2 3 4 5 5 5 5 4 3 3 3 3 5 7 9 10 9 8 8 8 8 7 7 9 10 10 8 6 4 3 3 3 4 3 3 3 3 3 4 5 5 4 4 5 5 6 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 3 2 2 2 2 4 5 5 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 6 6 6 6 10 13 10 6 6 5 6 7 11 9 11 15 9 -1 -1 0 2 3 4 5 6 6 6 6 6 8 10 9 8 8 9 10 9 6 5 7 6 6 5 2 3 9 9 8 6 4 4 4 5 9 12 10 6 -4 -5 5 8 5 3 10 12 3 2 -0 1 8 9 8 9 5 2 4 8 8 7 5 -0 -5 -7 1 10 10 5 -2 -3 2 4 -1 -2 2 7 6 -1 -3 6 20 33 21 5 2 7 14 18 20 17 10 6 4 5 5 4 5 10 22 24 11 4 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 5 4 5 5 4 5 5 5 5 4 3 3 3 3 3 3 4 4 5 6 5 5 5 4 5 5 6 6 7 8 8 7 6 6 5 4 3 3 3 3 4 5 5 5 5 5 6 8 7 4 2 4 6 7 6 5 4 4 3 2 2 2 3 4 4 4 4 3 3 3 4 4 5 4 4 4 5 5 4 3 2 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 6 6 7 7 8 9 9 8 8 7 9 14 15 13 12 10 8 6 4 4 4 4 5 5 5 5 4 3 3 3 3 4 4 4 4 4 3 3 5 8 11 11 8 5 3 3 3 4 4 3 3 2 3 3 3 3 4 6 7 9 9 8 7 5 5 5 6 6 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 8 8 7 6 5 4 4 4 5 9 15 20 19 12 5 2 2 1 -0 0 2 5 6 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 6 6 6 6 6 7 7 7 5 3 2 1 2 3 3 4 5 6 7 8 9 8 8 7 8 8 8 6 3 1 1 2 3 4 5 6 5 3 3 3 4 4 6 9 12 12 11 10 8 6 5 3 4 6 9 11 10 8 7 5 5 4 4 4 3 3 2 3 4 4 4 3 4 5 5 5 4 4 4 3 4 5 5 6 5 5 5 5 5 5 5 5 4 3 3 2 2 3 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 13 14 7 5 5 7 9 9 8 15 18 11 4 2 2 2 3 5 6 6 6 6 6 8 12 13 12 11 10 10 9 7 4 5 6 8 9 7 4 6 8 6 7 5 3 2 2 5 9 6 2 5 9 13 14 5 -0 1 6 -0 -2 3 3 3 6 5 9 12 8 5 8 10 10 8 1 -6 -5 -3 5 10 9 5 0 4 12 7 -4 -5 1 6 2 -0 2 8 19 27 14 7 9 11 14 14 13 10 6 4 3 4 4 4 5 13 21 14 2 2 6 6 5 5 4 5 5 4 4 4 5 5 4 4 4 5 5 4 4 5 4 4 5 4 5 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 6 7 7 8 8 8 7 5 4 3 3 3 3 4 5 6 7 6 6 6 7 8 6 3 2 5 8 9 8 7 5 5 4 3 3 4 4 5 5 5 5 4 3 3 3 3 3 3 4 5 4 3 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 6 6 7 8 9 9 9 9 8 10 14 14 12 11 10 9 6 5 5 5 5 5 6 5 5 4 4 3 3 4 4 3 3 3 3 3 4 8 11 14 12 9 5 4 3 3 4 4 3 3 3 3 2 3 3 3 3 5 6 8 9 8 7 6 6 6 6 5 4 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 8 9 8 7 6 5 5 4 5 9 12 16 16 11 6 2 2 2 -0 -1 1 3 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 6 6 6 7 8 8 8 6 4 3 2 2 3 3 4 4 6 7 8 10 10 9 8 9 9 9 7 5 3 3 3 4 5 5 4 3 3 3 4 6 7 10 13 13 12 10 7 5 3 2 2 4 7 10 11 11 10 8 7 6 5 5 4 3 2 3 3 3 3 3 3 4 4 4 4 3 3 3 4 5 6 6 6 6 6 6 6 7 7 7 6 5 4 3 2 2 3 3 3 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 6 6 5 8 16 15 7 5 7 10 11 5 7 17 18 10 5 3 2 3 4 5 5 5 6 7 7 11 14 12 12 11 11 11 9 5 4 5 6 7 6 4 3 5 9 6 7 5 1 0 2 5 4 2 4 4 5 14 18 11 3 3 4 0 3 6 7 7 8 8 10 9 10 10 13 16 15 12 7 2 5 11 14 13 11 6 -0 4 15 11 0 -2 1 1 -3 0 6 10 19 22 14 11 11 12 12 12 11 8 6 4 4 4 4 3 5 10 10 2 -0 6 10 8 6 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 6 6 7 8 8 8 6 4 4 3 3 3 4 5 6 7 7 7 7 7 7 6 4 3 4 7 9 9 8 7 6 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 8 9 10 10 9 12 14 12 10 8 9 8 6 5 6 6 5 4 5 6 6 5 5 5 5 5 4 3 3 3 3 5 9 13 16 15 13 9 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 6 7 8 8 7 6 6 5 5 5 4 3 3 3 2 2 2 2 2 3 2 2 3 3 4 4 4 4 4 4 5 5 6 8 9 8 7 6 5 5 6 8 10 11 11 9 5 3 3 2 0 -1 -0 2 3 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 5 5 7 8 9 9 9 7 5 3 2 3 3 3 3 4 5 7 9 10 9 8 8 9 10 11 10 7 5 4 5 6 4 4 4 4 4 5 6 8 10 11 11 10 9 6 4 2 2 2 3 5 8 11 12 12 10 8 7 6 6 5 3 2 3 3 3 3 3 3 4 4 3 3 3 3 4 5 5 6 6 6 5 5 6 7 8 8 8 7 6 5 3 3 2 2 2 3 3 3 3 3 4 5 6 7 7 6 6 6 5 5 6 6 6 6 6 9 16 14 6 5 10 14 14 9 13 14 12 7 4 3 2 3 5 6 6 5 6 8 11 12 9 8 9 9 10 13 11 8 7 8 8 7 3 2 4 8 5 4 6 3 2 2 5 6 4 8 9 0 -2 5 7 7 5 5 5 4 4 6 7 7 7 13 14 8 8 12 15 19 19 17 19 20 22 21 17 13 9 6 4 4 9 7 1 2 5 4 2 6 13 17 20 19 14 11 11 12 11 10 8 6 5 5 5 5 3 2 4 6 5 3 5 12 17 13 6 5 6 5 5 4 4 4 5 5 5 4 4 5 5 5 4 4 4 4 5 5 4 4 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 8 7 5 4 3 2 3 3 4 5 6 6 6 7 7 7 7 5 3 3 5 7 8 8 7 6 6 5 5 5 5 6 7 7 6 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 6 7 7 7 7 9 10 10 11 15 15 11 9 8 8 9 9 8 6 5 4 4 5 7 7 8 7 7 7 6 5 3 2 3 5 9 15 19 17 15 12 9 8 6 5 4 4 4 4 4 3 2 3 4 4 4 4 3 3 3 5 7 8 8 8 7 6 6 5 4 4 4 3 2 2 2 2 2 3 3 2 2 3 3 4 4 4 4 4 4 4 5 8 10 9 9 8 6 5 6 7 9 9 9 7 5 2 2 1 0 -1 -0 0 1 3 2 2 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 4 4 4 5 6 7 9 10 11 9 7 5 4 3 3 3 4 4 5 6 8 10 9 7 6 7 10 12 13 12 9 6 6 5 4 4 5 5 5 6 7 8 9 8 8 7 6 5 3 2 2 2 3 4 6 9 10 10 9 7 7 7 7 5 4 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 5 5 5 5 5 4 5 7 8 8 8 7 7 6 4 3 3 3 3 2 2 3 2 3 4 5 5 6 6 6 6 5 5 5 6 7 7 7 7 11 17 12 5 6 12 15 15 20 25 13 7 5 3 3 3 3 4 5 5 6 7 10 14 11 5 5 8 8 11 14 14 12 10 9 9 7 4 5 10 14 8 5 4 2 2 4 6 5 5 13 6 -3 3 5 -3 -3 3 5 5 4 4 7 6 2 1 7 11 12 12 12 14 16 17 19 23 25 25 19 14 10 4 1 -1 -2 3 7 9 14 15 13 12 15 23 24 19 13 9 8 11 11 9 8 6 5 5 5 5 4 2 1 4 6 5 6 8 14 21 16 6 5 5 5 5 4 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 6 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 4 3 3 3 3 3 4 5 4 4 6 7 7 6 5 3 3 3 5 6 7 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 8 7 7 7 6 5 5 4 5 5 5 5 6 5 5 4 4 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 8 10 13 16 20 20 14 11 10 10 10 10 12 13 8 4 4 5 7 9 10 11 11 10 9 7 5 4 4 3 5 11 18 19 15 12 10 9 9 7 6 6 5 4 4 4 3 3 3 3 4 4 4 4 4 3 3 5 7 8 9 9 7 6 5 5 4 4 4 3 1 1 3 3 3 3 3 3 3 3 4 5 5 4 5 4 4 4 6 8 10 10 10 8 6 6 6 7 8 8 6 5 3 1 1 -0 0 1 1 2 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 4 4 5 5 6 8 10 11 11 9 6 4 3 2 3 4 5 5 6 7 9 9 7 5 5 7 11 13 13 10 8 5 4 4 4 5 6 7 7 7 8 7 6 6 5 5 5 3 2 2 3 4 4 4 5 6 6 6 6 6 6 6 6 5 4 3 3 3 3 3 4 3 2 2 3 3 4 4 4 5 5 4 4 3 3 4 6 7 7 8 7 7 5 5 4 5 5 5 4 3 3 3 2 3 5 5 5 6 6 5 5 5 6 7 7 8 9 9 14 17 11 5 7 11 12 14 22 19 9 4 3 3 3 3 3 4 4 4 5 7 12 13 10 6 5 6 12 16 14 15 14 10 11 12 7 4 5 10 10 6 6 8 4 2 4 6 5 7 15 5 -1 6 3 -5 -4 0 3 4 4 5 7 5 3 5 7 8 12 14 12 10 10 9 10 11 11 11 9 8 4 -2 -1 -3 -9 -1 8 18 26 22 15 11 12 19 19 13 7 4 7 11 10 8 6 6 6 5 5 5 3 0 0 5 7 6 7 9 13 20 17 7 5 5 6 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 6 5 5 4 4 5 4 5 5 5 5 6 6 6 6 5 4 4 3 3 3 3 4 5 6 5 4 3 4 6 7 5 4 3 3 4 5 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 7 7 6 5 5 5 5 5 6 6 5 5 5 4 4 4 5 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 7 8 12 18 23 25 24 19 13 12 12 11 10 10 12 12 7 3 4 6 8 10 12 13 13 12 10 8 6 5 5 4 5 9 13 13 11 10 9 9 9 9 9 8 7 5 4 3 3 3 3 3 3 4 4 4 5 4 3 4 5 6 9 10 8 7 6 5 5 4 4 3 2 3 4 5 5 5 4 4 4 4 5 5 6 6 6 5 5 4 5 7 9 10 10 9 8 7 6 6 7 7 6 5 3 1 0 1 2 2 2 1 2 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 4 4 5 6 7 8 9 10 9 7 5 3 2 4 5 6 7 6 6 8 8 7 5 4 5 8 11 11 8 6 4 3 3 4 5 7 7 7 7 7 6 5 5 5 5 5 4 3 3 4 4 4 3 3 4 4 4 4 5 5 6 5 5 5 5 4 3 4 3 3 3 3 3 3 3 4 4 5 4 4 4 3 3 3 4 5 6 7 7 6 5 5 5 6 7 8 7 6 5 4 3 2 4 4 4 5 6 6 6 6 6 7 8 9 10 12 14 19 19 11 7 8 7 9 15 16 5 3 3 3 3 4 4 4 4 4 4 4 7 12 12 7 6 5 7 15 16 13 16 14 9 12 12 6 3 3 7 7 5 6 9 6 2 3 4 6 10 12 3 1 6 3 -1 0 2 5 7 6 5 4 3 9 17 16 10 10 10 6 3 3 2 -1 -2 -1 1 4 5 3 2 7 3 -8 -4 4 17 25 19 11 9 11 14 10 3 -2 1 8 11 9 7 6 7 7 6 5 5 3 0 2 6 7 6 6 8 13 21 19 9 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 4 5 4 4 4 4 5 5 5 5 5 6 6 5 4 4 3 2 1 2 3 5 7 7 6 4 3 3 5 5 4 2 3 3 4 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 7 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 7 10 19 27 25 20 18 17 15 13 12 11 10 9 9 10 6 2 4 7 8 9 11 12 13 12 10 8 6 6 5 4 5 5 5 6 7 7 8 8 9 10 12 14 14 9 5 3 3 3 3 3 3 3 4 4 5 5 4 3 4 5 7 9 10 8 7 6 5 4 4 4 4 5 6 8 9 7 4 4 4 5 5 6 6 6 7 6 6 5 4 5 6 8 9 9 9 8 7 7 6 6 6 6 5 2 1 2 3 3 2 2 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 4 4 5 4 4 5 6 7 7 7 6 4 3 3 4 6 8 8 7 6 7 8 8 5 4 4 6 8 8 5 3 2 2 3 4 5 6 7 7 7 6 5 4 4 4 4 4 3 3 3 4 5 5 4 4 3 3 4 4 4 5 6 6 6 6 5 5 4 3 3 4 3 3 3 4 4 4 3 4 4 4 4 3 2 3 4 4 5 6 6 6 5 4 5 7 8 8 8 7 6 4 3 3 4 4 5 5 6 6 6 7 8 9 11 13 16 19 23 27 19 10 8 5 1 9 15 10 2 2 2 2 3 3 4 4 4 4 4 4 6 9 10 8 7 8 9 11 11 11 14 13 10 13 10 6 6 8 10 9 6 3 2 3 2 2 3 5 9 2 -2 5 6 5 5 4 5 9 11 9 8 6 7 15 20 10 4 3 1 -1 -3 -1 -4 -7 -5 -3 -0 5 8 5 9 19 13 -0 -2 5 11 12 11 10 12 15 11 2 -7 -6 4 10 10 9 7 6 7 8 6 5 5 2 1 4 6 6 5 5 9 17 26 20 8 4 4 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 5 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 4 3 3 2 2 1 2 3 5 7 8 7 5 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 6 7 7 7 12 23 26 19 14 17 19 17 14 11 10 9 8 7 9 8 3 5 6 7 8 9 10 10 10 9 8 7 6 5 5 5 4 2 3 4 6 6 6 6 8 12 19 23 18 9 4 3 3 3 3 3 3 3 4 5 5 5 5 4 4 5 8 10 10 8 7 6 5 5 5 6 7 8 10 11 9 5 3 4 4 4 5 6 6 6 6 5 4 4 3 4 6 7 8 9 9 9 8 7 6 6 7 6 3 4 4 3 3 4 3 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 6 6 5 5 5 4 4 4 5 5 5 3 3 3 4 7 8 8 7 6 6 8 8 5 4 4 5 6 6 4 3 2 2 3 3 4 5 6 6 6 6 5 4 4 3 2 2 2 4 5 5 6 6 5 4 4 4 4 5 5 5 6 6 6 6 5 5 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 3 3 3 4 5 6 6 5 5 4 5 5 7 8 8 8 6 5 4 4 4 4 5 5 6 7 8 9 11 14 16 20 26 29 31 28 15 7 5 -0 -5 6 11 5 2 2 2 2 3 3 4 4 4 5 4 4 5 7 10 10 10 10 10 8 7 9 11 11 10 11 9 9 9 11 11 10 8 3 -1 0 2 4 6 6 5 -4 2 10 5 6 6 5 7 10 12 13 13 13 14 16 14 4 -1 -2 -2 -1 -5 -3 -8 -4 0 0 1 5 7 6 12 22 14 5 5 9 8 2 2 5 11 11 8 -2 -6 3 14 12 8 7 6 6 7 7 5 5 5 4 3 4 5 5 4 5 12 24 28 16 5 4 4 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 3 4 5 6 6 6 5 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 4 4 5 4 5 5 5 5 6 5 6 6 8 8 13 22 25 19 15 19 20 16 12 10 9 8 7 6 6 8 5 5 6 6 7 8 8 9 9 9 9 8 7 6 6 6 5 4 4 5 5 6 5 5 5 7 15 24 25 16 7 4 3 2 3 3 3 3 4 4 5 6 6 5 4 4 6 9 10 9 8 6 5 5 6 7 7 8 9 9 7 5 2 2 3 4 5 5 5 5 5 5 5 4 3 4 4 5 6 8 9 9 9 8 8 7 7 7 6 5 4 3 4 4 4 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 9 8 7 7 6 5 4 4 4 3 3 3 3 4 5 7 8 7 5 6 7 7 5 4 4 5 6 6 5 3 3 2 3 3 4 5 5 4 5 5 5 4 3 2 1 2 3 4 6 6 6 6 5 4 4 4 4 5 5 6 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 4 4 3 4 4 5 6 6 5 5 4 4 5 5 7 7 7 6 5 4 5 5 4 4 5 6 8 11 14 17 19 23 29 34 31 23 17 12 6 4 -3 -5 2 5 3 1 1 1 2 3 4 4 4 4 4 4 4 4 7 11 11 10 10 11 10 7 6 9 9 8 7 7 8 9 10 12 12 6 4 3 1 2 5 8 7 1 1 10 13 7 5 5 5 6 11 15 16 16 16 16 12 8 4 2 -1 5 8 -1 -3 -6 6 12 10 5 3 3 2 2 1 -3 6 13 11 8 2 3 2 6 6 3 -1 6 20 22 12 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 6 17 28 23 8 4 4 4 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 2 2 2 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 6 7 8 9 14 23 26 19 17 20 18 12 9 9 9 9 7 5 6 6 5 5 5 6 6 6 7 8 10 11 10 11 10 10 9 8 8 7 7 7 7 7 5 4 4 4 7 14 20 18 12 6 3 2 2 3 3 3 4 4 5 6 6 5 4 4 4 6 8 9 9 7 5 5 5 6 7 8 8 7 5 5 3 1 2 3 4 5 5 5 5 4 4 4 4 4 4 4 4 6 7 8 9 10 10 9 8 7 7 5 4 3 3 4 4 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 8 9 9 9 9 8 8 6 5 5 4 3 3 3 4 4 5 7 7 6 6 8 8 6 4 5 6 7 7 6 5 4 3 3 3 4 4 4 4 4 4 4 3 2 2 2 3 4 5 7 7 6 5 5 4 4 3 3 4 5 6 7 7 6 5 4 3 3 3 3 4 4 4 5 5 4 3 3 5 5 5 5 5 4 4 3 4 5 5 6 5 4 3 3 4 5 5 6 7 6 4 4 5 5 4 4 5 8 12 16 19 20 21 26 31 31 22 10 5 9 11 11 8 7 4 3 1 0 1 1 2 3 4 4 4 4 4 4 3 5 10 14 12 8 6 9 12 7 4 6 6 5 6 5 6 8 7 9 7 2 7 6 1 0 3 7 5 3 8 12 9 7 3 4 3 4 9 14 15 15 15 13 8 6 6 2 -2 10 11 3 -2 0 11 17 15 8 2 1 -1 -3 -2 -3 5 9 16 15 5 5 3 5 9 3 7 21 28 21 11 7 6 7 8 6 7 7 7 6 4 4 4 4 4 4 9 21 28 17 5 3 4 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 5 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 4 3 2 2 2 2 4 4 5 5 4 3 3 4 4 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 6 6 8 11 13 18 24 21 16 17 17 13 8 7 9 10 9 7 5 4 4 4 4 4 4 5 5 5 7 11 11 9 11 12 12 11 11 11 11 10 9 8 8 6 5 6 5 5 6 10 13 12 9 6 4 3 3 3 3 4 4 4 5 6 6 5 4 4 4 6 8 9 8 6 5 5 5 6 7 7 8 7 6 4 3 2 3 3 4 5 5 5 4 4 4 4 4 4 3 3 3 5 6 7 9 11 11 11 10 9 7 6 3 2 2 2 2 1 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 5 6 7 8 8 9 9 9 9 8 8 8 6 5 5 5 5 5 6 6 7 7 10 10 8 5 4 6 8 8 7 7 5 4 3 4 4 4 4 4 3 3 3 3 3 3 3 5 6 7 8 7 6 5 4 4 4 2 2 3 5 6 7 7 6 5 4 3 3 3 3 4 4 4 5 4 3 3 4 5 6 6 5 4 4 3 3 4 5 5 5 4 4 3 3 3 4 4 5 6 6 4 3 5 5 5 5 7 12 17 21 20 18 18 20 22 24 19 9 0 6 17 22 22 20 8 2 0 1 2 2 3 4 4 4 4 4 4 5 6 10 14 16 12 7 5 8 10 6 4 2 2 2 7 8 8 9 7 5 -1 4 8 4 -1 -0 2 6 6 6 6 4 1 3 3 4 3 3 5 8 9 10 11 11 10 10 10 4 -0 4 5 5 -3 2 7 15 13 3 5 6 4 6 13 17 13 4 8 13 10 4 3 5 12 10 17 25 22 14 9 7 7 8 7 7 7 8 7 5 3 2 3 4 5 6 12 24 26 13 4 3 4 5 5 5 6 6 6 6 5 5 5 5 4 4 4 5 5 5 4 3 3 4 5 5 5 6 6 6 6 5 4 5 6 6 5 5 5 4 3 3 2 2 2 3 4 5 5 5 4 3 3 3 4 4 5 5 5 6 6 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 4 5 5 4 5 5 5 5 5 5 5 5 6 7 10 15 21 21 18 13 13 15 13 8 6 8 9 9 8 6 5 2 0 2 4 4 3 3 3 4 5 9 11 10 10 12 12 12 10 10 12 11 10 9 7 7 7 7 7 6 5 6 8 9 9 9 8 6 5 4 3 3 3 4 5 5 6 6 5 4 4 5 6 8 8 6 5 4 4 6 6 7 8 8 8 7 5 4 3 3 4 4 5 4 4 3 4 4 4 3 3 3 3 3 3 4 5 7 10 11 12 12 12 11 8 5 2 1 1 1 0 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 4 5 6 6 7 8 9 9 10 11 10 9 7 6 6 5 5 6 7 8 11 12 10 6 5 6 7 8 8 8 7 6 5 5 5 5 5 4 3 3 2 2 3 3 4 5 7 8 8 7 5 4 4 4 3 3 3 3 4 5 6 6 6 5 4 4 4 3 4 4 4 4 4 4 3 3 4 6 6 6 5 4 4 3 4 4 4 5 5 4 4 3 3 3 4 4 5 5 5 3 3 4 5 6 9 14 19 21 17 12 11 11 9 12 21 23 16 6 5 13 20 22 18 8 1 0 2 2 2 3 4 5 5 4 3 4 9 13 16 17 14 10 8 8 9 9 7 5 2 -1 0 5 10 10 3 1 1 1 7 5 0 -1 0 3 5 4 3 0 -2 -2 -0 3 5 5 3 3 4 4 3 4 8 11 15 16 10 6 4 6 9 2 4 -1 6 11 4 8 11 12 15 17 18 14 2 -6 7 17 7 2 7 14 15 17 18 12 7 6 7 7 7 7 7 7 6 6 4 3 3 4 5 5 6 12 22 23 10 3 4 5 5 5 6 6 6 6 6 5 5 5 5 4 4 5 4 5 4 3 3 3 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 3 3 3 2 2 3 4 4 5 4 4 3 3 3 3 4 4 5 5 5 6 6 6 5 5 4 4 3 4 4 4 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 6 6 8 10 15 24 22 12 8 11 13 10 7 7 10 12 11 7 6 5 3 2 2 3 3 3 3 4 4 4 6 9 10 10 11 11 12 10 8 9 9 9 9 8 7 8 9 8 7 6 6 6 7 8 10 11 11 10 8 5 3 3 4 4 5 5 6 6 5 5 4 5 7 7 7 5 4 4 5 6 7 8 8 8 8 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 4 6 8 10 11 14 15 14 10 6 3 1 1 2 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 4 5 4 5 5 5 6 7 7 9 11 12 12 10 8 7 5 5 5 6 8 11 13 11 8 6 5 7 8 8 8 8 7 7 7 7 6 6 6 5 4 3 2 2 2 3 5 7 8 7 6 4 4 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 5 6 6 6 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 3 2 2 5 10 17 22 22 17 8 3 4 6 5 8 17 20 17 15 11 10 9 11 10 5 2 1 2 2 3 4 5 5 4 3 3 6 11 15 14 12 9 6 9 11 11 11 11 9 4 -0 -3 -0 6 2 -2 2 4 5 5 3 3 3 3 6 4 1 0 -1 -1 1 -1 2 7 7 6 5 3 1 1 5 8 9 11 11 11 12 12 10 10 11 10 1 0 4 3 7 11 17 19 18 14 5 -3 0 12 15 7 3 8 18 22 19 13 9 6 6 8 7 6 7 7 7 5 6 5 4 5 5 5 5 6 11 20 22 11 3 5 6 5 5 6 6 6 6 6 5 5 5 5 5 5 4 5 5 4 3 3 3 4 4 5 6 6 5 5 5 5 5 5 5 5 4 4 3 2 2 3 3 4 4 5 6 5 4 3 3 3 3 3 4 4 5 5 5 6 6 6 5 5 4 4 3 3 3 4 3 3 3 4 4 5 5 6 6 6 7 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 4 5 5 6 6 8 12 14 14 21 23 13 11 13 11 7 6 10 13 14 12 9 7 6 6 6 4 3 3 4 4 4 4 4 4 5 6 7 8 8 9 9 7 7 7 7 8 8 8 8 8 8 8 7 6 7 7 8 11 13 15 15 13 9 5 4 4 4 5 5 6 6 6 6 5 5 5 6 7 6 5 5 5 5 6 7 7 7 6 6 6 5 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 5 5 7 10 14 14 13 11 7 5 4 4 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 6 6 6 6 7 6 5 5 6 9 12 13 11 9 7 6 5 5 6 8 10 12 12 9 7 6 7 8 8 7 8 7 8 8 8 8 8 9 8 7 6 5 4 3 3 4 6 7 6 5 4 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 3 4 3 3 3 3 5 6 7 7 6 5 5 4 4 3 3 2 3 4 4 4 4 4 4 5 5 4 5 4 2 1 2 10 19 24 21 15 7 2 1 4 6 5 7 12 13 10 11 12 9 5 6 5 1 -0 -0 1 2 3 4 4 4 4 5 7 10 12 12 10 7 4 3 7 9 9 13 18 14 6 1 -1 3 7 3 3 7 8 3 -0 2 6 6 5 11 8 2 1 3 4 2 2 5 8 9 8 8 5 2 5 9 8 6 6 8 10 16 18 10 7 13 11 8 2 -6 -2 7 12 15 11 8 8 7 6 15 20 9 5 6 17 28 26 19 13 9 8 9 9 7 6 7 7 6 5 5 5 5 5 5 5 5 5 10 19 23 13 5 6 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 5 6 5 4 4 5 5 5 5 5 3 2 2 1 2 3 4 5 6 7 7 5 4 3 3 4 3 3 4 4 4 5 5 5 6 5 5 5 4 4 4 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 5 5 4 5 5 5 6 6 6 10 17 21 16 15 21 16 14 14 9 5 6 8 9 8 10 11 10 10 9 6 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 6 6 6 7 8 8 8 8 8 8 8 8 7 8 9 11 13 16 18 17 14 9 5 4 4 4 5 5 6 6 6 5 5 5 5 6 6 6 5 5 5 6 6 6 6 5 5 5 6 5 5 4 4 3 4 4 3 3 3 3 3 3 3 3 2 2 2 1 2 3 3 5 7 9 11 11 12 10 9 8 7 6 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 5 5 7 8 7 7 6 6 7 10 12 13 11 8 6 5 4 4 4 4 5 5 5 4 4 6 7 10 12 11 10 8 7 6 6 6 5 4 5 5 5 5 5 5 4 4 5 6 8 9 9 9 9 8 8 7 6 5 5 5 5 5 6 7 8 8 7 6 6 6 7 7 7 8 8 8 6 3 2 2 3 3 5 6 8 7 6 6 5 3 3 2 2 2 2 3 4 5 4 5 6 9 16 20 14 5 0 -2 -1 5 8 7 2 1 17 16 24 26 8 -2 -4 -6 -8 -7 -6 -4 -1 4 9 12 14 11 8 7 10 12 13 15 15 12 6 3 6 12 14 13 11 10 6 4 8 6 6 9 11 8 4 6 5 4 5 6 8 8 5 3 6 2 -2 3 1 2 8 12 11 10 10 12 12 9 8 7 6 6 7 8 5 8 15 7 3 3 5 7 7 -1 -7 3 6 9 11 7 7 10 10 10 17 21 18 14 12 10 8 8 9 8 5 4 6 6 4 4 6 9 8 6 5 4 3 3 3 4 5 6 6 7 9 16 18 11 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 5 4 4 4 5 5 5 4 4 3 3 3 3 3 3 4 4 5 5 5 4 4 5 5 5 5 4 4 3 3 4 5 5 6 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 4 4 5 4 4 6 10 22 23 11 9 11 10 8 5 6 7 8 7 6 8 7 6 6 3 0 3 6 6 6 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 6 6 6 6 6 5 5 5 6 6 7 8 9 9 10 11 14 15 16 15 13 9 6 5 5 4 5 5 5 4 4 5 5 5 5 5 5 4 3 4 4 4 5 6 5 4 5 6 6 6 6 5 6 7 7 8 7 7 7 7 6 4 3 3 3 2 2 3 3 4 4 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 6 6 5 5 5 6 7 7 7 8 8 8 9 10 11 10 9 8 8 6 5 4 4 5 5 5 4 4 4 5 6 7 7 6 5 4 4 4 5 5 5 6 6 6 6 5 5 5 4 5 5 6 6 6 6 5 5 5 4 5 5 5 5 6 6 7 8 8 8 7 7 7 7 7 7 6 6 6 5 4 4 4 4 4 6 10 12 11 9 7 6 5 4 3 3 4 5 5 4 4 6 9 8 1 -5 -7 -8 -5 4 10 12 10 7 6 3 -9 -3 -2 -4 -13 -19 -20 -15 -8 -1 5 8 10 12 14 14 17 21 20 15 11 7 6 12 18 18 11 4 0 5 11 10 10 9 9 4 3 5 7 6 3 1 2 4 4 4 5 11 11 6 8 9 9 11 12 12 14 13 9 8 10 11 12 13 16 18 14 12 13 12 11 8 7 8 3 1 0 5 15 25 24 14 8 7 5 0 1 5 4 2 8 16 15 10 7 7 6 5 6 8 9 8 5 5 3 3 5 7 10 10 9 7 6 4 2 3 4 5 6 6 5 4 11 23 23 10 3 5 7 8 7 5 5 5 5 5 4 3 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 4 3 3 3 2 2 2 4 6 7 7 7 6 6 6 5 5 5 4 4 4 3 4 4 5 5 6 6 6 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 6 15 15 9 14 15 12 9 8 6 5 5 8 11 12 11 7 5 5 6 6 4 4 6 7 7 7 7 7 6 5 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 4 3 3 4 4 5 7 8 9 10 11 12 13 14 15 15 12 10 7 6 5 5 5 6 6 5 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 7 8 8 7 6 7 7 8 8 8 8 7 6 6 5 5 5 5 5 4 5 6 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 6 6 6 6 7 8 8 6 7 9 11 12 11 10 10 10 7 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 4 4 4 5 6 6 6 7 8 8 8 7 6 6 5 5 4 4 4 5 5 5 5 5 5 6 5 6 10 13 12 9 6 5 5 5 5 5 6 6 5 5 6 7 5 1 -3 -4 -5 -5 4 12 11 9 6 6 8 4 -4 2 12 13 8 -2 -2 1 5 8 9 8 9 12 14 15 20 25 24 16 11 6 4 8 11 12 11 7 2 2 5 5 9 10 13 9 4 1 1 4 4 4 5 3 1 3 6 7 2 1 8 9 10 14 17 18 18 19 18 13 10 10 13 14 17 17 16 18 17 12 10 11 8 3 1 3 1 5 21 24 16 9 6 6 4 1 7 9 4 4 16 22 13 7 6 4 2 2 5 8 8 6 4 3 1 3 7 9 9 9 8 8 6 5 4 3 3 4 5 5 4 6 14 20 16 10 6 5 6 7 6 5 5 5 5 4 3 4 5 6 6 7 7 7 7 6 6 6 6 5 5 5 6 6 6 5 4 3 3 3 2 2 4 7 9 10 10 9 7 6 6 5 4 5 4 3 3 3 4 4 5 6 6 6 6 6 4 4 4 3 3 3 3 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 4 4 4 4 4 6 16 17 10 12 13 11 9 8 6 6 7 8 9 10 8 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 5 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 5 5 5 5 6 5 5 4 4 3 3 4 5 5 6 8 9 10 11 12 13 13 14 14 12 11 11 11 9 8 7 7 5 4 5 5 5 5 6 6 7 6 5 5 5 5 5 5 5 5 6 8 8 7 6 6 7 7 8 8 8 8 8 7 7 6 7 7 7 6 5 5 6 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 7 6 6 5 5 6 8 8 6 5 8 12 13 12 11 12 12 9 7 6 6 5 5 5 5 5 4 4 4 3 3 4 4 4 5 6 6 6 6 5 6 6 6 6 6 5 5 6 6 6 6 5 5 4 4 4 4 5 5 6 6 7 8 9 9 8 7 5 5 4 4 4 4 5 5 5 5 6 7 7 6 7 10 13 11 7 5 4 5 5 6 7 7 5 4 6 9 9 5 1 1 1 2 3 8 10 9 5 4 8 11 9 3 7 22 33 30 16 10 11 13 10 7 6 9 14 15 15 17 17 16 14 10 6 5 7 8 9 9 8 7 6 5 2 4 8 11 11 8 5 2 2 2 4 6 4 2 3 7 4 0 4 8 8 9 13 15 15 15 18 18 13 10 12 13 14 15 15 17 18 14 8 10 14 15 10 7 5 2 3 13 6 1 3 6 5 2 2 9 8 9 15 22 21 12 6 4 3 2 4 6 6 6 3 2 2 2 5 8 8 8 8 8 7 7 7 5 4 3 3 4 4 5 8 11 11 12 14 11 7 6 6 5 5 4 4 5 4 4 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 4 4 3 3 3 3 3 6 10 13 13 11 9 7 6 5 5 4 4 4 3 3 3 4 5 5 6 7 7 5 5 4 4 4 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 6 16 20 13 12 12 11 10 8 7 5 6 7 8 7 5 5 5 5 4 4 5 6 6 6 6 7 7 7 8 8 7 6 5 5 4 5 4 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 3 4 4 5 6 7 8 9 11 12 13 13 13 13 13 13 16 17 16 13 10 7 4 4 4 4 5 6 7 7 7 6 5 5 5 5 5 5 4 5 7 7 6 7 6 7 6 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 9 9 9 7 6 5 7 9 9 6 4 7 10 12 12 12 12 12 11 9 6 5 5 6 5 5 6 5 4 4 4 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 4 5 5 5 5 6 7 9 10 10 9 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 11 13 12 7 5 4 5 6 7 7 6 5 3 3 2 1 2 2 3 3 4 4 6 9 8 3 7 15 17 12 6 10 17 20 20 16 14 14 10 4 1 5 13 18 18 15 11 8 8 10 9 5 4 7 9 12 11 8 9 9 7 2 -0 5 9 12 9 8 6 4 3 5 6 4 4 8 10 6 4 5 4 7 10 11 11 10 12 14 13 11 9 7 9 13 13 12 13 12 7 4 6 12 17 18 13 5 3 6 6 -3 -1 6 7 3 -2 1 6 7 9 12 15 14 9 7 6 5 5 6 6 5 4 3 4 4 5 8 9 8 8 7 7 7 7 7 6 5 4 3 4 5 6 7 7 7 11 13 11 11 11 6 4 4 4 4 4 4 5 5 6 6 7 6 6 7 7 7 7 7 6 6 6 6 6 5 4 3 3 3 3 3 3 4 6 10 13 13 10 8 7 6 5 5 5 4 4 4 3 3 4 5 6 6 7 6 6 5 4 4 3 3 3 4 4 3 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 8 15 20 17 12 10 10 9 7 6 5 5 6 7 6 5 5 6 5 4 4 6 6 6 6 7 7 7 8 8 8 8 8 6 6 6 5 5 4 4 3 3 4 4 5 5 5 6 5 5 6 6 6 6 6 6 6 7 7 6 5 4 3 4 4 5 5 6 7 8 9 11 13 13 13 14 14 17 21 25 23 17 8 4 4 4 4 5 5 6 7 7 6 5 5 5 5 6 5 4 5 5 5 5 6 6 7 7 7 7 7 6 5 4 4 4 4 5 6 7 7 7 8 8 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 11 11 10 9 7 6 7 11 12 9 5 5 7 10 11 11 12 12 11 9 7 6 6 6 5 6 6 5 5 5 4 5 4 4 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 5 4 4 3 4 5 5 5 5 5 7 9 11 11 10 9 8 8 8 8 9 8 8 7 7 8 8 8 9 10 12 14 13 8 5 4 5 6 7 7 6 4 3 -0 -5 -3 2 3 4 4 4 4 7 12 8 1 11 25 25 14 13 19 17 9 7 11 11 7 0 -2 1 9 19 24 20 13 7 5 8 13 10 4 3 5 9 13 13 13 11 7 6 3 -2 3 10 14 9 5 6 5 5 7 7 4 4 6 7 7 6 3 4 7 10 11 9 7 9 10 7 6 6 5 6 10 11 9 9 7 5 5 4 5 9 11 10 5 5 5 2 6 9 7 2 -1 -2 1 5 8 7 5 7 9 8 8 10 9 8 6 4 4 5 6 7 7 8 10 10 10 9 7 7 7 7 6 7 6 5 4 5 6 5 5 5 6 7 8 11 18 16 6 4 5 4 3 3 4 4 6 6 7 6 5 5 6 6 6 7 7 7 7 6 6 5 4 3 3 3 2 3 4 5 5 6 9 11 10 9 7 6 6 5 5 5 5 5 5 4 4 4 5 6 7 7 6 6 5 4 4 4 3 3 3 3 4 4 4 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 3 4 4 5 5 5 5 5 5 5 5 5 7 14 20 17 9 8 9 10 7 5 6 6 6 6 6 5 5 4 3 3 4 6 6 6 6 7 7 7 8 9 9 8 8 7 7 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 7 6 5 4 4 4 4 4 5 5 5 6 8 9 11 12 13 14 14 17 25 29 24 13 7 5 5 5 5 5 6 7 7 6 5 5 4 5 6 5 5 5 5 5 5 6 5 6 7 9 10 9 7 5 4 4 3 3 3 4 6 7 8 8 8 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 13 12 12 11 9 8 8 11 14 12 8 4 4 6 8 9 10 12 11 9 8 7 6 6 7 6 6 6 6 5 5 6 6 6 5 5 5 5 6 6 7 7 7 8 8 8 8 7 7 6 6 6 5 5 4 3 4 4 4 4 4 4 5 6 8 10 11 10 9 9 10 11 11 11 10 9 8 8 8 9 10 10 11 12 13 13 10 7 5 5 6 7 6 5 4 4 2 2 3 4 5 5 5 5 5 7 9 4 -1 11 29 36 31 27 25 19 12 8 7 4 -2 -4 0 8 16 24 26 19 10 4 4 10 16 12 6 6 6 7 9 13 15 13 7 4 2 -1 3 9 12 7 3 4 4 6 9 8 5 5 4 4 5 3 5 10 9 11 11 9 7 7 7 5 6 9 7 7 9 12 14 12 8 7 9 9 6 5 4 2 2 5 7 10 17 9 1 -3 -3 2 2 6 11 9 5 6 8 8 10 12 11 8 6 5 6 8 9 9 9 9 9 10 9 8 7 6 6 6 6 6 6 6 7 7 6 4 3 4 5 6 7 11 18 14 5 8 11 5 2 2 4 5 6 7 7 6 5 5 6 6 6 7 6 6 6 7 6 4 3 3 2 2 4 5 6 6 6 5 7 9 8 7 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 6 5 5 4 4 4 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 5 12 21 18 8 7 9 9 6 5 6 7 6 6 5 4 4 3 -1 -1 4 5 6 6 6 6 7 8 8 8 9 9 8 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 5 5 5 4 5 4 4 4 4 4 5 6 7 9 10 11 11 13 18 24 25 20 13 6 4 5 5 5 4 5 6 6 5 5 4 5 5 5 5 5 4 4 4 5 5 5 7 9 10 10 8 6 6 5 4 3 4 5 5 7 7 8 8 7 8 8 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 12 13 11 10 14 16 17 17 17 14 12 6 10 18 16 12 11 12 6 -1 3 8 12 15 15 14 11 10 9 11 11 11 11 12 12 11 11 13 15 16 14 14 14 14 14 11 11 13 12 13 15 15 15 14 13 15 16 15 13 11 9 7 7 7 8 8 8 8 9 12 13 13 15 17 15 12 10 9 9 10 10 11 11 10 8 6 7 10 11 12 12 12 11 11 11 12 13 12 13 14 14 13 13 12 13 15 16 15 14 15 13 12 12 13 14 13 12 11 11 10 11 11 11 11 11 12 14 16 15 11 10 12 12 13 14 15 13 11 10 12 13 14 15 16 17 17 15 14 14 16 17 18 18 18 16 15 15 14 13 12 12 11 10 10 12 12 11 11 11 10 10 10 10 12 14 14 14 13 11 8 6 8 13 16 13 14 15 16 16 17 16 16 17 18 19 21 21 19 17 15 14 15 17 18 19 17 14 12 11 12 13 13 13 12 12 12 13 14 16 16 15 16 17 18 20 21 21 18 16 14 15 16 17 16 15 15 16 17 17 17 17 18 20 20 19 17 16 15 14 13 13 13 12 13 13 13 13 12 12 13 13 14 14 14 14 13 13 12 11 11 10 11 12 11 11 12 14 14 14 13 12 12 11 11 11 11 11 10 10 10 9 9 9 8 9 10 12 13 15 15 11 6 5 5 6 7 8 9 10 10 10 11 11 11 11 11 11 11 11 10 11 12 12 12 13 13 13 13 12 11 10 10 11 12 12 12 11 11 11 11 12 13 13 12 12 12 10 10 11 11 12 12 12 12 13 13 13 13 13 13 15 16 15 13 13 16 16 13 10 7 2 1 5 10 11 13 13 13 14 15 15 15 14 14 15 16 17 19 22 23 20 17 17 17 16 16 15 16 17 18 19 21 21 20 19 16 13 11 12 14 13 8 6 8 9 10 10 11 10 9 10 11 11 12 11 10 10 10 12 13 13 13 12 12 13 14 14 15 15 14 13 13 15 20 23 21 14 9 10 12 13 12 13 13 13 14 14 13 12 14 16 15 15 15 16 17 17 17 16 15 14 13 12 12 12 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 8 1 -1 12 22 23 18 16 13 10 7 5 6 8 11 12 13 13 12 11 11 11 12 13 12 11 10 10 14 16 15 14 14 14 15 13 10 10 10 11 12 14 16 17 17 16 18 18 17 15 13 10 8 8 7 8 10 8 7 6 9 14 18 18 16 14 12 12 12 12 12 12 12 13 12 9 7 7 8 10 12 12 11 10 11 12 12 13 12 13 13 13 13 12 12 13 13 13 14 13 13 13 14 14 14 14 12 11 10 10 11 12 12 11 11 11 12 13 14 13 13 11 11 13 15 17 15 14 12 11 13 14 14 15 16 16 16 16 16 17 18 18 17 17 15 14 14 15 15 14 13 12 11 11 11 12 11 11 11 11 10 9 10 11 12 13 14 13 12 11 8 4 4 11 17 16 16 16 16 18 18 17 17 18 19 19 20 20 19 17 15 14 14 14 15 16 15 13 12 11 12 13 13 14 14 14 15 15 16 17 17 18 18 18 18 19 20 19 17 15 15 16 16 18 18 16 16 16 16 16 15 13 11 9 10 13 16 16 15 14 14 14 14 14 14 13 13 12 12 12 14 15 15 15 15 14 13 13 12 12 12 11 12 12 12 13 15 15 14 14 14 12 11 10 11 11 11 11 11 10 10 9 8 9 10 11 13 15 14 11 9 8 7 7 7 9 10 10 11 10 9 8 8 9 10 10 10 9 10 10 10 11 12 12 12 13 13 13 13 12 11 10 10 11 11 11 11 11 11 11 12 13 14 13 11 10 10 11 10 11 11 12 12 12 12 12 13 13 13 13 14 14 15 15 15 15 15 12 7 4 3 5 8 11 13 13 13 12 12 14 15 15 15 14 14 14 16 18 21 24 23 19 18 17 18 18 18 18 18 18 19 18 18 17 16 14 12 12 12 13 14 14 11 8 8 9 10 9 10 11 10 9 10 12 12 11 9 9 11 13 14 14 13 12 12 12 13 14 15 15 15 13 14 15 19 21 19 13 8 10 12 13 12 13 14 14 13 13 13 14 15 15 14 15 15 15 15 17 17 16 15 13 13 13 13 12 13 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 22 17 11 10 8 7 6 8 9 10 10 10 11 13 13 13 13 13 12 11 10 12 15 15 13 11 12 13 14 11 9 8 8 9 11 14 16 17 17 17 17 17 18 17 16 14 11 9 10 11 11 9 6 6 9 17 21 19 15 13 12 13 13 12 12 12 13 15 15 12 9 7 7 10 12 11 10 10 11 11 12 13 13 13 14 13 12 12 12 12 12 12 13 13 14 14 15 15 14 13 11 11 11 12 13 13 12 12 11 11 11 11 11 12 13 13 14 15 16 15 14 13 14 14 14 13 14 14 15 15 17 19 20 20 20 18 16 15 13 14 15 14 14 14 14 12 12 12 12 12 12 11 11 11 10 10 11 12 13 13 13 13 13 12 11 8 5 8 9 9 11 19 24 21 19 19 18 18 20 21 22 22 21 18 16 15 13 12 12 12 13 13 12 12 12 13 14 15 16 17 18 18 19 20 21 21 21 19 18 19 18 18 18 17 17 16 15 16 17 16 15 14 13 14 14 13 11 8 9 11 14 15 16 15 14 14 15 15 14 14 14 13 12 13 14 14 15 16 15 14 13 13 13 13 13 13 13 13 13 14 14 14 13 13 13 12 11 11 12 11 11 11 10 10 10 10 10 11 12 14 14 13 10 5 4 5 7 9 10 10 12 12 12 10 9 6 4 7 8 8 8 8 8 10 12 12 12 12 12 11 12 13 12 11 11 11 11 12 11 11 11 11 11 11 12 13 13 12 11 10 10 10 11 10 11 12 12 12 13 13 13 12 13 13 14 15 16 17 17 16 14 9 7 7 10 13 14 14 13 13 13 13 13 14 15 15 14 14 14 15 16 18 21 23 21 18 17 16 17 18 18 19 19 19 18 16 14 14 14 13 12 12 12 13 13 13 12 11 9 8 9 10 11 11 11 10 10 11 11 10 9 10 13 15 15 13 11 11 12 12 13 14 14 15 15 16 16 15 17 21 18 12 9 9 10 10 12 12 13 13 13 12 14 15 15 15 15 14 14 14 15 16 16 15 15 13 12 11 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 12 14 13 12 12 12 11 10 10 10 10 12 14 16 14 11 10 10 11 11 10 9 8 6 6 9 11 13 15 16 13 12 13 17 20 20 17 13 10 11 10 9 6 5 7 11 19 22 18 15 12 12 11 11 11 10 11 12 15 16 14 11 8 7 9 10 9 8 9 11 12 13 13 13 13 12 11 11 11 11 11 12 12 12 13 14 14 14 14 13 12 12 11 12 14 15 14 13 12 11 10 10 11 12 13 12 13 14 15 15 15 14 14 15 14 13 13 13 14 15 18 20 22 21 20 18 16 14 13 13 14 14 14 14 14 14 12 12 13 13 12 12 12 11 11 10 11 12 13 13 14 13 14 13 13 14 12 9 7 3 -1 2 20 31 26 22 20 20 20 21 22 24 26 25 21 18 17 14 12 11 11 13 14 14 14 16 17 19 19 19 21 21 22 23 23 22 21 20 19 17 16 16 15 16 16 16 15 15 15 16 16 15 15 14 14 14 15 14 13 12 11 10 11 12 13 14 14 14 14 14 15 14 14 13 14 14 14 14 15 15 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 11 11 12 13 15 16 16 14 10 7 6 7 8 8 9 10 11 12 12 11 12 11 11 7 4 6 7 7 7 8 9 11 12 12 12 12 11 11 11 11 12 11 12 13 13 12 10 10 10 10 11 11 12 12 11 10 10 11 12 11 11 11 11 12 12 13 12 13 13 14 13 13 15 18 19 17 14 13 12 11 10 11 12 13 13 12 12 12 13 14 14 15 15 15 14 15 15 15 17 19 23 24 21 18 15 15 16 17 18 18 18 17 16 14 12 13 13 13 14 13 12 12 12 13 12 11 10 8 8 9 10 11 11 12 13 13 12 10 10 12 14 15 14 11 11 11 12 13 13 14 15 14 14 15 17 17 18 19 18 15 12 9 9 10 13 15 13 11 11 12 13 14 14 15 15 14 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 11 13 14 16 14 12 10 10 10 11 11 10 10 10 9 8 7 8 10 14 16 15 10 9 14 19 21 19 13 8 5 4 2 1 3 7 13 19 20 18 15 13 12 11 10 9 9 9 11 15 16 16 14 11 9 8 8 10 11 12 13 14 14 13 12 11 11 10 9 9 9 11 13 13 13 13 13 13 13 13 13 12 12 13 13 14 15 15 15 13 11 9 11 14 15 13 11 11 13 14 14 14 15 14 13 12 12 12 14 17 18 20 21 22 20 18 15 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 12 11 11 12 13 13 13 14 14 14 15 14 13 12 11 8 2 -8 -11 9 32 35 32 27 24 22 22 24 26 28 27 23 20 18 16 14 13 13 15 17 17 19 21 24 26 25 23 24 24 23 23 22 20 19 19 19 17 15 14 13 13 14 14 14 14 14 14 13 13 13 12 12 12 11 11 10 10 10 9 9 9 11 13 14 14 15 15 15 15 15 15 16 15 14 13 13 14 14 14 15 14 14 15 15 14 14 14 13 13 13 12 12 12 12 13 13 13 13 13 15 16 17 19 20 19 18 15 11 8 7 7 9 10 10 10 11 11 12 12 12 12 12 12 10 8 7 7 7 7 8 10 11 11 11 12 12 12 11 11 11 11 11 13 14 14 12 10 10 9 9 10 10 11 11 10 11 12 12 12 11 11 11 11 12 12 13 13 14 14 14 14 14 16 18 16 11 9 9 11 11 10 11 12 13 12 11 12 14 14 14 14 14 15 15 15 15 15 15 17 22 25 25 24 19 16 16 16 16 16 16 16 16 14 13 12 11 12 13 13 13 12 11 11 10 10 11 12 11 11 10 10 11 12 12 12 12 12 11 12 13 14 13 11 11 11 12 13 13 13 14 14 14 14 14 14 15 16 18 18 17 13 11 10 11 12 14 14 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 6 6 6 6 6 6 8 10 12 13 14 14 14 14 14 16 17 18 20 20 21 21 21 21 21 21 21 20 19 17 15 13 12 12 12 13 13 12 12 12 11 10 10 10 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 4 4 5 5 3 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 5 6 9 10 14 17 18 16 12 8 7 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 9 8 3 1 0 0 0 0 0 0 0 5 5 1 0 0 0 1 9 24 41 59 76 94 110 116 102 83 90 123 146 145 133 128 131 134 129 119 105 88 69 49 34 22 18 21 22 19 15 9 5 2 7 11 10 5 6 4 0 3 8 14 18 17 23 39 50 60 74 88 96 104 105 100 90 74 58 52 61 68 62 60 84 116 139 154 158 148 133 118 96 74 57 43 28 17 20 39 54 49 40 30 26 15 4 0 0 2 17 54 92 119 127 104 84 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 6 6 6 6 6 6 6 7 9 11 13 14 14 14 15 16 18 19 19 19 19 19 19 19 18 18 18 17 16 14 13 12 12 12 12 12 11 10 9 8 8 8 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 3 3 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 6 6 7 9 10 9 7 6 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 30 49 66 81 94 107 116 113 89 66 80 120 137 130 121 117 116 115 112 108 104 97 87 70 49 34 24 21 19 19 10 2 0 0 1 7 6 6 5 3 0 1 6 14 15 12 9 13 23 41 50 70 95 111 110 99 86 77 73 75 80 84 90 103 119 130 147 165 174 166 150 135 121 110 98 79 67 54 39 44 54 40 24 21 26 18 4 0 0 0 3 23 57 89 105 96 80 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 5 6 6 6 6 6 6 6 6 6 7 9 11 13 13 15 16 18 18 19 19 18 18 18 18 17 17 16 14 13 13 12 12 12 11 10 9 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 5 5 5 5 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 34 59 74 88 103 112 111 98 58 34 55 94 101 98 102 103 101 94 89 85 85 87 89 85 72 53 37 30 28 28 24 17 17 12 6 16 21 25 19 9 2 5 9 14 15 15 15 10 12 33 47 63 94 116 114 100 88 83 88 94 96 94 102 118 126 128 134 150 167 172 165 151 142 140 139 106 101 77 49 44 43 32 26 28 33 25 10 2 0 0 2 13 33 60 85 90 81 78 nan nan nan nan nan nan nan nan nan nan 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 3 4 5 6 6 7 6 6 6 6 5 6 6 8 9 10 11 14 15 16 16 17 17 17 18 18 17 16 15 13 12 12 12 11 10 9 8 8 7 7 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 3 19 47 67 84 106 104 87 61 23 8 21 41 45 51 66 76 84 79 68 61 58 60 66 75 76 65 48 37 30 26 29 32 34 26 16 24 38 39 27 15 7 6 10 14 11 10 24 45 60 71 80 87 106 125 121 107 95 92 98 105 106 103 110 121 124 119 118 131 153 168 168 155 149 154 159 130 118 100 78 66 58 51 50 54 52 40 22 8 1 0 11 27 41 58 78 85 81 83 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 4 2 5 6 6 6 6 6 6 6 5 5 5 6 6 7 8 10 12 14 14 14 14 15 16 17 16 16 15 13 12 11 10 9 8 8 7 7 7 7 6 5 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 4 4 5 5 4 4 4 5 5 5 5 5 5 5 4 2 2 2 2 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 19 56 83 108 82 50 20 1 0 2 2 7 14 22 36 53 63 58 48 40 35 39 48 54 56 49 44 34 26 27 33 33 24 16 20 34 43 29 14 17 12 18 39 43 17 26 74 108 111 110 111 122 135 133 120 110 103 105 110 104 105 115 123 120 110 108 119 140 157 160 152 147 155 164 155 136 122 112 96 84 78 80 84 78 60 40 25 18 22 37 56 70 83 94 92 86 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 15 9 4 4 5 5 6 6 6 6 6 6 5 5 4 5 5 6 7 9 11 12 12 12 12 13 14 14 13 13 12 10 9 8 8 8 8 8 8 8 8 7 6 4 4 4 4 3 3 3 2 1 1 3 4 4 5 5 5 4 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 2 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 44 84 95 54 21 5 0 0 0 0 0 1 3 7 18 36 43 39 29 21 20 25 32 38 42 44 41 32 28 30 31 24 13 10 23 40 42 28 24 21 32 73 98 74 67 103 129 123 118 123 132 139 138 132 126 118 113 110 107 110 118 124 120 110 106 114 134 152 157 152 148 153 161 159 145 131 117 102 90 86 89 93 87 72 57 47 44 49 60 74 89 104 119 114 108 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 16 16 14 10 7 7 6 5 4 4 5 6 7 6 5 5 5 5 5 5 5 7 10 10 9 9 9 9 10 10 10 9 8 8 7 7 8 8 8 9 9 9 8 7 5 4 4 4 4 3 3 2 1 1 2 3 3 3 4 4 4 4 4 4 3 2 1 2 3 4 4 5 5 4 4 4 4 4 4 4 5 5 2 0 1 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 11 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 43 78 70 30 6 0 0 0 0 0 0 0 0 0 2 10 22 24 18 12 10 12 15 22 34 43 46 42 35 32 34 34 24 14 14 28 57 67 69 56 55 93 131 130 124 139 141 126 126 134 138 132 128 128 129 126 120 116 113 114 119 124 124 119 115 122 140 156 161 156 149 149 150 147 140 132 117 99 90 88 93 96 91 79 69 66 70 71 71 76 92 116 137 138 132 129 nan nan nan nan nan nan nan nan nan 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 14 17 17 16 14 11 7 4 3 3 6 8 9 7 6 5 6 6 5 4 3 5 6 6 6 7 8 9 9 9 9 8 8 7 7 8 8 8 9 9 10 9 8 6 5 4 4 4 3 3 3 4 3 3 2 2 2 2 2 3 3 4 4 3 2 1 1 1 3 4 4 5 5 4 4 4 4 4 4 4 4 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 13 14 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 0 0 0 0 0 21 50 68 43 12 1 0 0 0 0 0 0 0 0 0 0 1 3 5 5 3 3 3 6 12 26 41 49 52 48 42 41 43 37 25 15 16 43 74 92 84 83 95 130 138 141 144 135 128 131 139 139 126 112 107 110 115 118 120 121 122 123 126 128 127 127 136 152 162 163 154 144 141 134 127 124 126 122 114 104 100 102 99 92 83 79 80 85 86 79 76 93 128 153 152 141 130 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 10 15 18 21 21 17 12 7 2 2 4 7 10 10 8 6 6 5 4 3 2 2 4 4 6 8 9 10 11 11 11 10 9 8 7 7 7 7 8 9 9 9 8 7 6 5 4 4 4 3 3 3 3 4 3 2 2 2 1 1 2 3 4 3 3 2 0 0 1 2 4 4 5 5 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 18 18 15 9 3 0 0 0 0 0 0 0 0 0 0 0 0 1 10 9 4 1 0 0 3 22 52 56 26 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 25 40 51 58 59 55 48 47 47 40 32 26 32 47 62 63 60 77 109 128 138 146 146 140 135 137 138 126 106 92 88 90 98 115 129 133 134 131 132 134 134 144 159 163 157 141 128 123 111 103 105 112 116 118 116 113 109 101 93 87 86 90 95 94 87 88 113 147 157 146 134 116 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 6 11 15 20 23 23 18 11 6 4 5 7 10 11 9 7 6 6 5 2 1 1 3 4 6 8 10 11 12 13 14 12 10 9 7 7 6 6 6 7 8 8 8 7 6 6 5 4 4 3 3 3 3 3 3 3 2 3 2 1 1 1 3 3 3 2 1 0 0 1 2 4 4 4 4 4 4 4 4 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 20 18 16 14 7 0 0 0 0 0 0 0 0 0 0 0 0 0 9 13 11 4 0 2 6 20 46 44 15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 26 42 51 57 60 58 54 54 59 58 54 48 43 38 42 49 53 64 92 115 126 136 146 146 138 133 135 132 116 99 86 79 80 98 128 145 148 141 136 137 140 148 160 158 143 124 106 93 82 73 75 90 105 114 118 117 112 104 96 92 94 100 101 97 92 102 129 146 144 137 125 106 84 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 3 7 11 15 20 24 23 18 14 13 13 12 12 12 9 8 7 8 7 5 3 2 3 5 7 9 10 11 11 13 14 12 10 8 6 6 6 5 5 5 4 5 5 6 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 2 1 0 1 2 3 2 1 1 1 1 1 3 4 4 4 4 4 4 4 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 18 20 17 13 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 14 12 10 9 9 20 39 33 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 26 46 56 59 57 53 52 59 66 72 72 65 56 48 44 48 53 60 79 104 118 124 136 146 140 131 130 133 130 120 107 94 89 98 120 146 160 159 148 142 145 153 158 150 130 108 89 76 62 52 48 57 78 100 109 110 107 104 99 97 102 107 105 99 92 102 119 114 115 131 122 103 84 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 1 3 5 9 16 21 23 21 19 20 20 18 15 13 10 8 8 9 9 10 9 8 6 5 5 7 8 8 9 10 11 10 8 6 4 3 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 1 1 1 1 1 1 1 1 1 2 3 4 4 4 4 4 4 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 14 26 22 14 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 16 16 12 10 17 30 21 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 24 51 67 63 51 42 41 47 59 71 77 75 66 55 50 54 58 60 68 90 110 117 129 140 140 132 128 130 138 139 133 121 112 114 124 141 161 173 168 155 149 154 155 145 126 106 90 80 70 56 43 43 60 86 102 104 102 101 100 100 105 107 106 102 96 107 115 114 117 120 116 103 88 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 1 4 10 16 20 21 22 23 23 21 19 16 13 10 8 8 8 9 10 9 6 3 2 3 3 3 4 5 7 7 6 4 3 2 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 1 1 1 1 1 1 1 2 3 4 4 4 4 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 12 15 20 25 19 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 5 3 5 9 18 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 22 53 74 68 49 34 30 35 44 58 71 78 80 70 62 65 66 61 62 76 95 108 127 139 140 134 130 130 137 144 145 135 123 116 119 129 149 170 180 176 164 156 150 138 124 111 102 93 83 69 50 45 58 85 104 105 100 96 95 100 103 102 101 101 103 107 111 120 129 126 115 100 90 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 3 9 15 20 26 28 26 23 21 20 17 14 11 9 8 7 5 3 2 1 0 0 0 0 1 1 2 3 3 3 2 1 0 0 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 1 1 1 1 1 1 1 2 3 4 4 4 4 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 19 18 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 22 51 77 79 60 41 32 32 36 46 62 80 91 86 81 81 74 60 59 70 81 94 116 132 137 135 132 131 133 137 140 135 126 116 111 115 130 152 173 186 185 168 150 133 117 109 105 97 88 76 59 56 70 93 109 110 103 96 95 98 100 99 100 105 107 99 91 95 104 107 100 91 88 94 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 1 3 8 16 24 29 29 25 21 20 20 19 18 15 12 8 4 2 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 1 1 1 1 2 3 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 20 45 74 87 76 57 43 37 37 42 56 79 96 94 90 90 81 62 60 70 78 85 103 117 123 126 127 128 127 128 131 134 132 124 114 110 117 131 150 173 192 184 160 137 115 101 94 90 86 80 74 74 83 101 118 121 113 103 96 96 101 105 111 119 119 100 80 75 76 78 81 80 84 94 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 1 3 6 13 21 27 27 23 19 19 21 22 20 17 13 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 1 1 2 2 3 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 11 10 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 14 22 37 60 80 84 74 55 39 37 40 53 76 92 92 90 96 88 71 70 78 80 84 96 105 108 111 115 118 120 121 127 133 135 129 119 115 115 119 128 145 170 183 170 146 118 99 89 86 87 89 89 89 95 112 130 134 126 113 99 92 98 112 128 143 143 124 94 80 72 69 70 66 66 74 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 2 4 4 5 10 19 26 26 22 19 20 22 21 19 16 12 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 3 3 2 2 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 3 7 11 16 18 21 22 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 19 28 37 47 60 73 77 64 49 41 40 51 74 90 87 85 93 94 86 86 93 93 90 94 100 103 105 107 109 112 118 128 135 135 124 114 111 115 115 117 127 144 163 167 149 122 103 94 91 92 97 101 103 107 121 138 143 135 119 97 84 89 109 134 158 164 152 124 102 88 77 66 52 44 47 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 3 6 6 3 3 8 16 22 22 20 19 18 19 18 16 13 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 2 3 4 4 4 4 4 4 4 4 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 1 5 9 8 6 8 11 12 12 12 14 16 21 23 16 8 3 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 17 29 37 42 46 56 64 67 58 48 42 46 64 83 85 81 89 97 97 100 109 110 101 97 104 106 108 109 107 110 118 132 143 138 121 109 108 115 118 119 123 134 148 159 157 140 121 109 102 100 105 111 115 119 129 142 145 135 116 94 81 84 103 128 154 164 158 141 121 104 88 70 51 38 36 38 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 2 6 7 5 2 2 6 12 16 18 18 18 17 16 14 11 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 2 2 2 2 2 2 2 3 3 2 2 1 1 0 0 0 0 1 3 4 4 4 4 4 4 4 4 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 1 5 12 14 12 11 11 9 8 7 6 6 8 12 10 7 4 1 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 21 27 34 38 39 44 53 60 61 55 46 42 51 68 78 84 92 99 101 106 115 118 112 105 112 114 113 113 113 114 122 135 147 144 131 121 117 119 122 123 123 127 137 154 171 172 152 132 120 114 116 123 131 133 139 146 143 129 110 95 88 88 98 116 139 152 150 140 126 111 96 78 61 49 46 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 1 3 6 8 8 6 4 2 5 8 12 15 17 16 16 13 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 1 1 2 3 2 2 2 2 2 2 2 3 3 3 3 2 2 1 1 1 2 3 4 4 4 4 4 4 3 4 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 0 0 0 2 5 7 6 7 7 6 4 2 1 0 1 2 3 4 3 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 22 29 33 34 35 39 47 55 58 52 43 43 53 68 85 97 102 102 104 109 110 110 111 121 124 117 112 114 120 128 140 149 147 140 136 134 129 125 123 121 122 128 146 175 194 182 162 146 136 133 136 142 146 148 148 142 127 110 98 92 89 92 103 119 131 133 127 119 109 98 86 72 64 60 52 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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