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