Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 2 2 3 4 4 4 6 8 10 9 8 7 7 7 6 5 4 3 3 4 4 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 8 9 8 7 7 8 8 7 6 7 7 9 10 9 8 7 7 5 5 5 6 6 5 4 3 2 3 5 9 9 7 4 5 4 4 0 8 6 6 7 1 -1 7 12 5 0 1 -0 -1 0 5 -1 -1 7 8 0 1 7 12 11 8 7 7 8 13 13 5 5 8 10 10 7 3 1 1 5 7 7 5 2 5 8 5 6 5 -1 -1 5 8 8 7 6 7 10 15 24 31 31 22 9 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 3 3 3 4 4 4 5 5 6 6 6 6 8 9 10 11 12 13 15 17 20 22 15 9 8 5 5 4 4 5 5 5 5 5 6 5 4 4 5 5 5 5 5 5 2 -1 -2 2 3 3 3 4 4 5 5 5 4 3 2 2 2 1 2 2 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 3 6 12 19 23 23 18 14 11 11 11 9 7 7 10 19 26 18 8 6 8 5 -0 -0 -3 -2 -7 -3 3 0 1 4 4 3 1 3 4 -2 -6 -6 -7 -8 -5 -0 5 9 10 10 9 10 12 16 17 16 13 10 10 9 10 11 12 12 13 15 17 17 14 13 20 25 20 12 8 5 3 2 3 4 5 4 2 1 2 3 3 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 2 1 2 2 2 3 3 4 6 8 8 8 8 8 8 8 7 5 4 3 3 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 4 4 5 4 4 4 4 4 5 5 5 6 5 5 5 4 4 5 7 8 7 6 6 7 8 8 7 6 6 8 9 9 8 7 6 5 5 5 6 6 5 4 2 2 4 8 12 12 9 6 7 9 8 9 10 6 11 10 3 -4 -1 4 4 1 1 -1 -4 -8 -6 -3 -1 3 2 -1 2 8 12 10 7 5 5 8 11 8 2 6 9 8 9 11 6 -1 0 5 6 7 8 10 7 1 -0 1 -1 -2 5 9 7 8 9 8 8 13 22 27 28 24 13 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 7 9 10 11 11 11 10 11 16 22 22 14 9 7 5 4 5 5 5 5 5 6 6 4 4 4 4 5 6 5 5 4 0 -6 -5 2 2 1 0 2 3 4 5 5 5 4 3 3 3 2 2 2 3 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 1 1 1 2 4 7 10 15 20 22 19 14 11 9 8 9 7 6 6 7 12 19 22 19 14 11 9 7 6 5 4 3 1 3 3 4 3 4 7 7 5 4 4 2 0 0 -2 -3 -1 2 7 9 8 7 5 5 8 10 13 12 9 8 8 7 8 9 10 11 14 17 20 21 19 19 19 16 10 6 5 5 4 4 5 5 3 2 1 2 3 3 2 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 nan nan nan
nan nan nan nan nan nan nan nan 2 2 2 1 2 2 2 3 4 6 6 6 6 8 9 9 8 6 5 4 3 3 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 5 4 4 3 3 3 4 4 3 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 3 3 4 4 4 4 4 5 5 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 5 4 4 5 5 5 4 4 4 4 4 4 5 5 6 6 5 5 4 3 4 6 7 7 6 5 6 8 8 8 7 7 7 8 9 8 7 6 6 5 5 5 5 5 4 3 2 4 11 16 13 5 4 6 9 6 10 9 7 9 7 5 -5 -9 -8 -1 7 9 8 7 1 -3 -0 2 2 -1 -1 4 13 12 10 10 7 5 9 11 10 9 10 10 6 5 9 6 1 3 6 7 8 11 12 6 2 1 -1 3 10 12 8 5 6 5 4 5 12 23 28 23 14 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 8 10 11 11 11 9 9 11 17 17 13 9 9 8 7 6 6 7 9 9 8 7 6 5 4 4 4 5 5 4 4 2 -9 -14 -4 1 -3 -5 -1 2 3 4 4 4 5 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 2 3 2 2 2 2 1 2 1 1 2 1 2 2 3 6 10 12 13 15 17 15 11 8 7 6 6 6 6 5 6 6 8 10 16 19 17 14 9 5 3 2 2 4 5 6 6 5 4 5 5 6 6 5 7 8 6 6 5 3 2 3 5 7 6 5 3 3 4 7 9 10 8 8 8 7 7 8 8 8 10 13 16 20 20 14 12 11 8 6 5 5 5 6 6 5 3 1 0 1 2 2 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 nan nan nan
nan nan nan nan nan nan nan nan 3 3 2 2 2 2 1 2 3 4 5 4 4 6 7 8 8 7 6 5 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 3 3 3 3 3 3 2 3 3 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 6 6 5 6 7 9 10 9 9 9 9 9 9 8 7 6 5 5 5 5 5 4 3 3 4 6 9 10 3 -0 4 6 1 -1 3 5 4 2 4 -3 -8 -7 -1 9 14 13 15 15 8 5 7 3 -2 -2 3 12 12 9 8 7 7 10 10 11 18 15 9 5 3 3 4 7 9 7 6 6 7 6 7 8 4 4 11 15 11 6 5 4 2 3 7 16 26 24 14 7 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 6 7 8 10 11 11 10 9 9 13 13 9 8 8 8 8 7 6 7 10 11 10 8 7 6 6 5 5 4 4 4 4 5 -2 -14 -11 -0 1 -6 -5 1 3 3 3 3 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 1 1 2 2 2 2 2 3 6 12 16 14 12 12 11 7 5 4 4 4 4 4 4 4 4 5 6 7 9 12 14 14 9 5 3 1 -0 1 5 7 7 7 6 6 4 4 4 5 7 6 6 7 8 6 5 5 5 5 4 3 2 2 4 6 8 8 8 8 7 8 8 8 7 6 7 8 11 13 13 10 7 7 7 6 5 5 6 7 7 6 3 1 -0 1 2 1 1 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 nan nan nan
nan nan nan nan nan nan nan nan 6 5 3 3 2 1 0 1 3 4 4 3 3 4 5 6 6 6 6 5 5 4 4 3 3 3 4 4 5 5 5 4 4 4 3 3 3 3 2 2 2 2 2 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 3 4 4 4 3 3 3 4 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 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 5 4 4 4 4 4 4 5 6 6 6 6 7 9 10 10 11 10 10 10 10 9 8 7 5 5 5 5 5 5 4 4 3 -1 -1 6 6 3 6 5 -1 -1 3 3 3 4 7 6 1 0 2 7 7 4 4 10 11 8 8 4 2 3 6 5 6 7 4 5 8 7 5 5 9 7 6 6 4 1 3 7 7 3 -0 -2 -0 2 8 8 6 12 15 12 8 6 5 3 3 5 12 21 23 15 7 4 4 4 4 3 3 3 3 3 2 2 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 6 7 6 6 6 7 9 10 11 11 10 9 14 16 8 6 7 6 6 6 5 6 6 7 7 6 5 6 6 6 6 6 5 4 3 4 3 -4 -12 -5 6 5 -1 0 2 3 3 3 3 3 4 3 3 4 3 3 2 2 2 2 2 3 3 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 2 5 9 14 16 13 8 7 5 3 3 4 5 4 3 3 2 1 0 -0 1 2 3 6 9 10 8 6 4 3 2 3 6 7 7 7 8 9 6 6 5 5 8 7 7 7 7 6 6 6 4 3 2 2 3 3 3 5 7 7 8 7 7 8 9 8 8 7 6 6 7 8 8 7 6 7 7 6 5 5 5 6 7 6 3 0 -0 2 3 2 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 11 11 9 6 3 3 1 0 1 3 4 4 3 2 3 4 4 5 5 5 5 5 4 4 3 3 4 4 4 4 5 5 5 4 4 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 4 5 6 6 5 6 8 10 11 11 11 10 10 10 9 9 7 6 5 5 5 5 5 4 4 4 1 2 7 7 5 8 4 -0 3 4 1 2 7 12 14 9 3 6 10 7 2 3 6 10 11 9 7 7 8 8 4 3 3 2 4 4 2 0 1 0 -3 1 4 6 4 5 3 -2 1 5 0 1 8 12 9 11 15 13 9 8 6 5 4 5 8 14 18 14 7 4 4 4 3 4 3 3 3 3 3 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 6 7 8 10 10 10 10 13 17 10 4 5 5 5 5 6 6 4 4 6 6 4 4 5 6 6 7 6 5 4 4 4 3 -5 -9 -1 7 4 2 3 3 3 4 4 4 4 4 4 4 4 3 2 2 2 3 3 3 2 2 2 2 1 1 2 2 3 3 3 3 2 2 3 2 2 2 2 2 2 2 3 3 3 3 2 2 2 3 4 8 12 13 11 8 6 4 3 3 4 4 4 4 4 2 -0 -2 -4 -7 -6 -6 -4 -0 4 7 8 7 5 4 5 6 7 7 5 6 11 9 6 9 10 7 8 8 8 7 7 6 6 5 4 2 2 2 3 3 3 4 6 7 7 7 7 8 9 10 9 7 6 6 6 6 7 6 6 6 6 6 6 5 5 6 6 4 1 -0 1 3 6 7 6 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 12 12 12 10 6 4 2 1 0 2 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 3 2 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 3 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 3 4 4 4 5 5 4 4 4 4 4 3 4 4 4 5 5 5 4 3 3 4 5 5 5 5 5 5 5 4 4 4 3 4 4 3 3 3 3 4 5 5 4 5 6 8 10 10 10 10 10 9 8 8 8 6 5 4 5 5 5 5 4 4 4 7 11 8 5 7 4 -1 0 0 3 7 8 8 7 6 4 8 11 6 5 10 9 8 12 11 10 9 6 5 6 4 -1 0 1 -0 1 3 3 5 -1 -1 -0 4 5 -1 2 2 9 13 1 2 11 10 9 10 11 8 6 6 6 5 4 5 9 14 13 7 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 4 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 5 6 6 7 9 10 9 9 11 16 12 5 4 5 7 7 6 6 5 5 6 6 6 5 5 5 6 7 8 7 5 4 4 4 2 -5 -10 -4 3 4 4 4 4 4 5 5 4 5 5 5 5 4 3 3 4 5 5 4 3 2 2 2 1 1 0 0 0 0 1 1 1 3 4 5 5 4 4 3 2 1 2 2 3 3 2 2 2 3 6 11 12 10 6 4 4 4 4 4 4 4 4 3 2 2 1 -2 -4 -6 -6 -4 -5 -3 3 7 7 6 6 6 6 7 6 5 5 4 5 5 5 8 10 9 9 10 7 7 7 6 5 5 4 3 3 2 0 1 3 5 5 6 6 7 7 8 9 10 10 8 7 6 5 6 7 7 6 5 5 5 6 6 6 5 4 2 1 1 1 3 7 13 15 8 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
nan nan nan nan nan nan nan 9 9 10 11 9 6 4 1 1 1 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 4 3 3 4 4 5 5 5 6 6 5 5 4 4 4 4 4 3 3 3 3 3 4 4 3 3 5 6 7 8 9 10 9 9 8 7 7 6 5 5 5 5 5 5 5 4 4 5 8 9 8 7 4 1 2 3 3 5 6 3 2 3 5 11 8 4 7 12 11 8 11 12 11 8 6 4 4 3 -2 -2 -2 -3 3 11 12 12 8 3 -2 2 6 8 7 1 4 9 1 -1 6 7 7 9 9 8 4 4 5 5 6 7 13 17 11 5 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 2 2 2 3 3 4 4 3 3 4 4 3 3 3 4 4 5 5 5 5 6 6 7 6 6 5 5 5 5 6 7 8 9 10 10 17 17 9 5 5 6 7 6 5 5 5 5 7 8 7 6 5 5 5 6 7 6 5 4 4 4 2 -5 -8 -0 5 5 5 5 5 5 6 5 5 6 6 6 5 4 5 6 8 8 7 5 4 2 3 5 4 1 -0 -3 -3 -2 -1 2 3 6 10 11 11 10 7 4 2 1 2 2 2 2 1 2 4 9 12 11 7 4 3 4 4 5 5 5 4 4 2 1 2 4 3 2 2 2 2 1 0 2 5 6 5 5 6 5 6 6 6 7 5 -0 -1 3 6 8 10 11 10 8 8 7 6 6 5 4 4 4 2 -3 -3 1 4 6 6 6 6 6 7 8 10 9 7 5 2 1 2 4 5 6 6 5 5 5 6 6 5 4 2 1 1 2 3 6 14 19 10 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 nan nan 4 5 6 9 9 7 6 3 2 2 3 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 5 5 6 5 5 5 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 4 5 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 4 4 3 3 3 5 6 7 8 9 9 9 8 7 7 7 6 5 5 5 5 6 5 4 3 2 3 7 10 8 5 4 5 7 6 10 9 5 4 4 10 15 8 5 8 9 12 11 14 13 7 4 5 3 0 2 3 1 -3 -4 4 14 14 12 14 8 4 1 2 6 7 5 5 4 5 1 5 13 15 10 7 7 5 3 4 7 9 12 19 17 9 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 7 8 10 17 25 21 13 9 7 6 6 5 5 5 5 5 7 7 7 6 5 4 5 6 6 6 5 5 5 5 2 -6 -3 4 6 6 6 6 6 6 6 6 6 6 5 5 6 7 9 11 12 11 9 5 3 5 10 12 9 4 -1 -3 -2 1 3 5 8 12 16 18 19 18 13 8 4 2 2 2 2 1 1 3 9 11 8 5 4 4 5 5 5 5 5 4 4 5 2 -1 3 6 5 5 4 4 4 3 2 3 4 5 5 6 7 7 5 6 10 10 3 -0 1 4 6 8 11 11 10 9 8 6 6 5 5 4 5 6 2 -1 -1 2 6 7 6 5 5 5 7 7 7 5 1 -3 -5 -4 -1 2 5 7 7 6 5 6 7 6 4 2 1 3 3 3 5 10 12 8 6 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 3 1 2 4 7 7 7 6 5 5 5 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 5 6 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 4 5 4 3 3 4 5 6 8 9 9 9 9 8 7 7 6 6 5 5 5 6 6 5 3 2 2 5 8 6 6 7 5 3 9 14 13 11 8 5 10 16 14 10 8 8 10 11 13 11 5 4 2 1 4 6 7 5 -1 -3 3 11 10 9 9 4 6 3 2 7 5 8 11 2 4 1 6 16 21 15 9 6 2 1 3 8 9 15 19 13 6 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 6 6 6 5 4 4 4 4 5 6 8 12 22 27 25 20 17 14 11 9 7 6 6 6 5 6 7 6 6 5 5 5 5 5 6 5 5 5 4 -1 -1 3 5 6 6 6 6 6 6 6 6 5 5 5 6 9 11 13 16 16 12 7 5 8 13 16 15 9 3 0 1 3 3 5 8 11 14 18 22 26 27 21 12 5 3 2 2 2 1 3 7 7 5 4 5 5 4 5 5 5 4 4 5 9 11 5 3 5 5 5 4 5 4 4 4 4 4 5 6 7 9 9 7 7 10 13 9 4 3 5 6 7 9 11 11 11 9 7 5 5 5 4 6 9 11 9 6 4 6 8 7 6 5 4 5 5 4 2 -2 -6 -7 -5 -3 0 5 8 9 7 5 6 7 6 3 2 2 3 4 4 5 9 8 6 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 1 0 2 5 6 6 6 7 6 6 6 5 4 2 2 3 4 4 4 4 4 3 4 4 4 4 5 5 5 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 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 4 4 5 5 6 6 6 6 5 5 4 4 3 3 4 4 3 4 5 6 6 4 3 3 5 6 7 8 9 10 10 9 8 7 7 6 6 5 5 6 6 6 4 2 2 3 5 4 5 8 4 3 11 13 12 11 7 6 8 14 16 14 8 5 7 13 14 9 7 8 8 7 8 6 5 5 -1 -2 1 8 7 4 4 -0 3 2 6 14 8 9 2 -5 -4 2 7 13 19 16 10 5 2 3 5 6 8 15 16 9 4 4 4 3 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 7 6 6 6 6 5 5 4 4 4 4 5 5 6 10 17 23 24 24 24 21 19 16 15 15 13 10 7 6 6 6 6 6 6 6 6 7 7 6 6 5 3 1 3 4 5 6 6 6 6 5 6 6 5 5 4 6 9 12 16 20 21 16 8 5 6 8 10 11 9 5 3 2 2 3 4 6 7 8 12 17 26 34 35 27 15 6 3 3 3 3 3 6 5 3 3 4 4 4 3 3 4 4 4 4 8 15 12 5 4 5 5 4 4 5 5 7 9 8 7 8 10 13 12 9 8 7 8 8 6 5 5 6 6 8 10 12 12 11 8 6 5 5 5 5 8 10 9 9 6 6 8 8 7 5 4 4 4 3 0 -3 -5 -5 -3 -0 3 6 9 10 8 6 5 6 5 2 1 3 4 5 4 6 7 6 5 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 1 0 1 3 4 5 7 8 7 7 7 6 4 4 3 3 4 4 4 4 3 4 4 4 4 4 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 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 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 4 3 4 5 5 5 5 5 4 5 5 4 3 4 4 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 5 6 6 5 4 3 4 5 6 7 9 10 10 9 9 8 7 8 7 6 5 5 7 7 5 3 2 2 5 6 6 4 3 6 9 8 5 2 2 3 6 11 13 10 5 3 6 14 16 12 10 12 17 19 12 2 1 3 1 -1 1 7 6 1 0 3 4 3 11 11 4 6 4 1 2 8 10 13 11 8 6 5 5 8 9 7 10 17 14 6 4 4 4 3 3 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 7 11 13 16 19 21 21 22 22 21 20 19 16 11 8 7 7 8 10 12 14 16 15 12 11 8 5 2 3 3 4 5 5 6 5 5 5 5 6 5 4 5 8 12 17 23 23 17 8 2 -3 -3 1 3 4 5 5 1 -3 -1 3 5 5 5 6 10 18 30 40 40 28 15 8 9 10 10 8 6 4 3 2 2 3 3 1 -1 0 1 1 2 7 12 12 6 5 5 5 3 4 4 6 9 11 12 12 10 10 10 10 8 6 6 6 5 5 6 6 5 5 6 9 11 13 12 10 8 6 5 5 5 6 5 4 4 4 5 7 9 9 7 5 5 4 3 1 -0 -1 -0 1 4 7 9 10 10 7 6 5 5 3 1 -0 2 4 4 4 5 5 4 4 4 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 2 2 2 2 2 4 6 8 8 8 7 7 6 5 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 6 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 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 4 4 3 4 4 3 3 3 3 3 3 3 3 4 3 3 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 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 5 6 6 5 3 3 4 5 5 7 8 9 9 9 8 8 8 9 9 8 6 5 6 7 5 3 2 0 2 4 6 1 4 9 7 -3 1 4 7 4 4 7 10 6 4 4 4 9 15 14 10 9 15 17 12 6 3 3 6 6 5 7 7 3 -2 4 6 9 15 7 5 7 15 17 18 15 10 11 7 5 6 6 7 8 7 10 17 19 11 5 4 4 3 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 5 4 4 3 4 4 5 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 9 12 14 14 15 17 19 20 20 17 15 14 17 20 19 19 18 19 18 16 12 5 2 3 3 4 4 4 5 5 5 4 5 5 5 5 4 6 10 16 24 24 15 5 -3 -8 -7 -3 1 3 8 12 6 -7 -11 -2 5 5 5 6 6 11 20 31 39 36 26 18 18 21 23 17 4 -2 2 2 -1 -1 -0 -2 -6 -7 -6 -4 -1 3 7 8 6 5 5 5 4 6 6 6 7 9 9 10 8 7 6 6 6 5 5 5 6 6 6 5 5 5 5 6 10 13 13 11 10 8 6 6 5 4 3 3 3 3 3 5 7 9 9 7 6 6 5 4 3 3 4 5 7 9 12 11 8 5 5 5 4 3 1 -0 2 4 4 3 3 4 4 4 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 5 4 3 3 2 1 2 4 6 7 8 8 7 6 5 5 5 5 5 4 3 4 3 3 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 5 5 4 4 5 5 4 4 4 5 5 5 5 6 6 7 8 8 7 6 5 4 4 4 5 6 5 4 3 3 3 4 5 6 7 8 9 9 8 8 8 7 10 11 9 6 5 5 4 2 2 0 -3 1 6 -1 3 10 11 -1 9 13 10 5 3 6 9 7 5 6 3 5 12 12 8 7 9 9 6 7 5 6 9 10 8 7 6 2 -1 2 4 11 11 7 6 5 14 23 24 16 11 9 8 9 9 7 6 6 6 13 21 16 7 4 3 3 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 7 6 6 5 4 4 5 6 5 6 8 10 14 18 19 18 18 16 15 12 10 8 11 13 14 10 4 2 3 3 4 4 4 4 5 5 4 3 5 6 5 2 2 7 12 16 17 10 1 -4 -4 -1 2 3 4 11 18 14 -2 -13 -7 3 5 6 5 6 7 11 19 26 29 26 22 23 27 32 22 -1 -10 -4 1 -3 -4 -4 -3 -5 -6 -7 -6 -1 2 3 5 5 5 5 6 8 11 12 8 6 7 6 5 6 6 6 6 6 6 5 6 6 6 6 5 5 5 5 6 9 12 13 12 11 9 8 7 5 3 2 2 4 4 3 3 5 7 9 10 8 6 5 5 6 7 7 8 9 10 12 10 7 4 4 5 5 3 1 0 2 3 3 3 3 3 3 3 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 5 4 4 3 3 2 1 2 4 6 7 8 8 7 6 5 5 5 5 5 4 4 4 4 4 4 3 3 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 5 5 5 5 5 5 6 8 9 8 8 7 5 4 4 4 5 5 5 4 2 2 3 3 4 5 7 8 9 8 8 9 7 6 7 10 11 8 5 4 2 1 3 2 -3 1 6 1 2 5 2 3 9 16 7 6 5 5 4 5 6 9 7 7 10 9 9 10 10 7 3 4 4 5 5 5 5 4 4 1 -0 2 6 8 4 6 6 3 7 15 16 13 11 10 9 10 8 6 4 4 6 16 20 11 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 3 3 2 3 3 4 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 7 7 6 5 4 4 4 4 4 4 4 7 8 10 12 11 6 2 2 4 4 3 4 5 5 3 2 2 3 3 3 3 3 4 4 3 3 4 6 8 4 -2 3 9 6 1 -1 0 2 4 6 6 5 5 10 20 15 2 -5 -3 3 5 5 5 5 5 6 8 12 16 16 14 15 20 27 21 -0 -14 -11 -4 -2 -3 -2 -1 -0 1 1 0 2 4 4 4 4 5 5 7 9 12 14 12 9 8 6 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 4 5 7 10 12 12 11 10 9 8 6 4 2 1 2 3 2 2 3 4 7 10 9 7 5 4 5 7 8 9 10 11 11 9 6 3 3 4 5 4 2 1 1 2 4 4 3 3 3 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 7 6 5 4 4 4 3 2 2 3 4 5 6 8 7 6 5 5 6 6 5 5 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 7 8 9 9 9 8 6 5 5 6 5 5 4 3 2 2 2 2 3 4 6 8 9 9 9 9 8 6 5 7 10 9 6 3 1 2 4 4 2 3 6 9 2 5 1 6 3 12 6 11 7 2 -4 1 5 8 8 10 8 5 7 10 10 7 3 4 4 0 -1 2 2 -1 2 3 1 5 7 5 -0 2 5 5 0 6 8 9 10 8 8 8 6 3 1 3 10 20 17 7 4 4 4 4 4 3 4 4 4 4 4 5 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 3 2 1 3 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 3 4 4 4 5 6 7 6 6 5 4 4 4 4 3 3 4 5 6 7 6 5 3 3 4 4 3 2 2 3 3 2 2 2 3 3 3 3 3 4 3 3 3 5 10 11 3 2 11 8 -6 -12 -6 3 6 7 7 5 4 6 14 15 2 -2 4 5 5 5 5 5 4 4 3 4 5 5 4 4 8 15 14 4 -6 -7 -3 0 1 2 2 2 3 4 4 4 3 4 5 6 6 6 6 4 3 8 10 8 7 5 4 5 5 6 6 6 6 7 6 5 5 5 5 5 5 5 4 6 8 10 11 11 10 9 8 8 5 3 2 1 1 1 2 2 3 6 8 9 7 6 6 7 7 8 9 10 11 10 7 5 4 4 4 5 4 3 2 2 3 4 5 4 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 7 6 6 5 5 4 4 3 3 2 3 4 5 6 6 6 6 5 5 5 5 4 3 3 4 3 3 3 4 4 4 4 3 3 4 4 4 4 3 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 3 3 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 7 8 9 11 12 11 10 8 7 6 6 5 4 2 2 2 2 2 3 4 5 7 8 9 9 10 10 7 5 6 8 9 7 2 -0 2 5 5 3 1 5 10 4 4 10 9 -1 8 11 15 8 2 -6 -1 4 3 7 9 6 2 4 6 6 4 4 5 3 -1 2 5 5 2 1 2 6 12 9 4 -0 -2 1 2 -2 3 7 7 6 4 7 6 4 2 2 4 13 20 13 5 4 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 2 1 2 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 6 5 5 4 3 3 3 3 3 5 7 8 8 8 7 6 5 5 4 4 4 4 3 2 2 2 2 2 3 4 4 4 3 3 3 3 7 11 10 7 14 16 5 -10 -15 -7 2 3 4 2 3 4 7 10 5 2 5 5 5 5 4 3 3 3 1 -3 -2 -0 -3 -6 -2 5 8 8 6 5 4 2 2 4 4 4 3 2 3 4 5 5 6 7 9 10 8 7 2 2 5 5 5 5 5 4 5 5 6 6 7 7 6 5 5 5 5 6 6 5 4 4 6 8 10 11 10 9 9 9 7 5 4 2 2 1 1 1 2 4 7 8 8 8 8 7 6 7 8 9 9 8 6 5 5 5 5 5 5 4 3 3 4 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 5 6 7 7 8 7 6 6 5 3 2 2 2 4 5 6 5 5 5 5 5 5 4 3 3 4 4 3 3 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 2 2 2 2 3 3 3 3 2 3 3 4 3 3 4 4 4 3 4 4 4 4 4 3 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 4 6 7 9 11 15 18 17 15 12 10 8 6 5 4 3 3 3 3 2 2 4 6 7 8 8 10 11 12 10 7 6 7 9 7 3 -1 1 5 6 4 -0 2 9 12 -2 3 6 -0 1 11 13 8 6 -1 0 1 0 7 7 3 2 4 5 2 1 3 5 4 6 8 7 9 11 4 0 8 14 13 6 1 -2 2 4 -0 2 5 6 3 3 8 6 4 3 3 6 16 20 11 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 3 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 4 3 2 2 3 4 6 8 8 8 8 7 6 5 5 4 5 4 4 3 2 2 1 2 3 4 5 5 4 4 3 3 4 6 7 8 14 19 12 1 -10 -13 -6 -3 -2 -3 -1 4 4 5 5 4 5 5 5 5 3 2 3 4 3 -3 -7 -3 -2 -6 -6 0 6 8 8 9 9 4 2 6 7 5 5 5 5 6 10 10 9 9 8 10 11 10 7 3 4 4 5 5 5 5 4 4 5 5 6 7 7 5 5 5 5 6 6 6 5 4 4 6 8 10 11 10 10 9 9 7 6 5 3 2 2 1 2 4 6 7 8 8 7 6 5 6 7 8 7 7 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 4 4 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 3 5 6 8 8 8 8 7 6 5 3 2 2 3 3 5 5 4 5 5 5 5 4 3 3 3 4 3 3 4 4 4 3 3 3 2 2 3 3 3 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 4 4 4 4 7 8 11 16 22 24 23 20 15 12 9 6 5 4 4 3 3 4 4 3 4 6 7 8 8 10 12 12 11 9 7 7 8 8 4 0 1 5 7 6 2 1 12 21 5 0 0 -1 -9 6 8 7 7 3 5 4 3 5 3 2 6 10 9 4 1 2 2 5 12 11 6 11 15 6 2 7 9 10 7 3 4 9 6 0 2 4 3 2 6 7 6 4 3 3 8 19 20 9 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 4 4 3 3 3 3 4 5 5 5 5 5 5 4 3 3 4 4 4 3 3 2 2 2 4 5 5 5 5 4 4 4 4 4 4 6 12 19 14 5 0 -5 -5 -4 -4 -8 -9 -2 2 3 4 4 5 6 7 7 5 5 5 5 4 2 -2 -2 2 1 -0 2 5 7 7 7 8 6 5 8 9 6 6 12 12 10 12 12 11 11 7 5 8 7 5 5 4 4 4 5 5 5 5 4 4 5 6 6 6 6 6 5 5 5 6 6 6 4 3 5 7 8 10 11 11 10 10 10 9 7 5 4 3 2 2 4 5 7 8 8 8 6 5 6 7 7 7 6 7 6 6 7 7 7 6 5 5 4 4 5 5 5 5 4 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 3 5 6 7 8 8 8 7 6 5 4 3 3 2 3 3 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 2 2 2 1 2 2 2 2 1 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 4 4 4 6 7 10 15 22 29 30 27 22 18 14 10 6 5 4 4 4 4 5 5 5 6 7 7 7 8 10 12 13 12 10 7 7 7 7 5 3 3 5 7 7 3 -0 12 18 7 -1 4 1 -9 2 2 3 -0 6 12 13 11 10 4 3 8 13 13 5 1 3 3 5 8 7 7 13 14 6 3 4 5 5 5 4 7 12 5 3 6 5 3 5 11 7 6 4 2 3 10 20 16 6 4 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 3 4 4 4 4 4 3 3 3 4 4 4 4 3 5 6 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 6 6 5 5 4 4 4 4 4 4 5 9 20 20 10 6 3 3 3 1 -5 -11 -9 -4 -1 3 5 5 6 9 10 6 7 11 8 5 4 4 4 5 6 6 5 6 6 5 5 6 6 5 8 9 6 6 12 16 14 11 9 9 10 7 5 6 6 5 5 4 4 4 4 5 5 5 4 3 4 5 6 6 6 6 6 5 4 5 6 6 5 4 4 5 6 8 10 10 11 11 11 11 10 9 7 5 3 3 4 5 7 7 8 8 7 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 5 5 5 5 5 4 4 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 3 2 2 3 4 5 6 6 7 7 7 7 6 4 3 2 2 2 3 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 2 2 2 1 1 2 2 2 1 2 2 1 2 2 2 2 2 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 3 3 3 3 3 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 6 7 8 12 20 30 34 31 24 20 17 14 10 6 5 4 4 4 4 5 5 6 6 7 7 7 8 10 12 14 13 10 8 7 7 6 5 4 5 5 6 7 4 -1 8 11 1 -2 14 13 -0 -7 -7 1 -4 7 14 14 18 18 10 5 6 12 11 8 9 10 8 6 4 4 9 15 11 4 2 3 5 5 5 4 6 7 6 8 9 6 7 11 12 8 6 5 3 5 12 21 15 5 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 4 4 4 4 4 4 4 3 3 3 4 3 3 4 5 6 6 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 2 3 3 5 6 6 5 4 4 4 3 4 4 4 4 5 12 20 19 13 7 6 7 6 1 -5 -7 -8 -7 -2 3 4 5 7 9 5 7 13 11 6 5 4 5 6 6 5 5 5 5 4 4 5 5 2 4 6 7 7 8 10 10 8 6 6 6 7 5 5 6 6 5 5 4 4 4 4 5 5 5 4 3 3 4 6 7 7 6 4 4 4 5 6 6 5 5 5 5 6 6 9 10 11 11 12 13 12 11 8 6 4 4 6 7 7 8 8 8 7 7 8 8 8 8 8 7 7 7 6 6 5 4 4 4 5 5 5 5 4 4 4 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 4 3 3 3 2 2 3 4 5 5 6 7 8 7 6 4 3 2 2 2 2 3 3 4 4 5 4 4 4 3 2 2 1 2 2 2 2 2 3 3 2 2 2 2 1 0 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 3 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 7 7 9 18 30 37 35 26 18 15 14 12 9 6 5 5 4 4 4 4 4 4 6 7 7 7 8 10 12 14 13 10 8 7 7 6 5 5 7 6 5 7 7 1 7 9 1 2 21 21 6 -8 -6 5 1 4 6 3 13 14 10 7 7 11 11 12 15 14 9 6 6 6 9 12 8 0 -3 1 6 6 4 4 8 9 8 11 10 9 12 13 9 6 5 5 4 6 14 20 13 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 2 3 4 4 3 3 4 5 6 6 6 6 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 5 6 6 5 4 3 3 3 3 4 4 4 4 5 10 18 19 13 10 10 8 5 1 0 -3 -8 -7 1 3 3 3 3 2 6 10 10 7 4 4 4 5 5 4 4 5 6 3 2 5 6 1 1 5 6 6 6 6 5 5 5 4 4 5 4 5 5 6 6 5 5 4 4 5 4 5 5 4 3 2 4 5 7 7 6 5 4 4 5 5 5 5 5 5 6 5 3 6 9 10 11 13 13 13 13 12 9 7 6 7 7 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 5 5 4 5 5 5 6 6 5 4 4 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 4 3 3 2 2 2 3 4 4 6 8 8 8 6 5 3 3 2 2 2 2 2 4 4 4 4 3 3 2 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 3 4 4 3 4 3 3 3 4 4 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 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 8 7 13 30 40 38 29 19 13 11 10 9 8 6 4 4 3 3 4 3 4 4 6 6 6 7 8 10 12 12 12 10 8 7 7 6 6 7 9 6 3 5 5 2 7 9 6 6 17 16 5 -1 6 13 8 3 0 -2 6 8 7 8 9 12 11 13 13 9 6 7 8 7 6 7 4 -3 -5 4 9 6 3 4 11 13 9 8 9 12 15 12 5 4 5 4 4 6 14 16 9 4 4 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 5 5 5 4 3 3 3 4 4 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 8 14 15 14 15 13 10 6 4 3 -0 -1 2 3 1 3 2 1 4 6 5 6 5 4 4 5 5 5 4 6 8 6 3 6 7 4 2 4 4 5 5 5 4 4 4 4 4 4 4 4 5 6 7 6 5 5 4 4 4 5 6 5 3 3 3 4 6 7 6 6 5 4 5 5 4 5 6 5 6 8 6 4 7 9 10 11 12 13 14 14 12 10 8 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 7 7 6 6 5 5 5 6 5 6 6 6 6 6 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 8 7 6 5 4 2 2 1 2 2 2 4 6 8 8 9 7 6 4 4 2 2 2 2 3 3 3 3 3 2 1 1 1 1 2 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 3 3 4 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 5 4 3 4 5 5 5 5 6 6 6 7 8 8 7 7 25 45 40 27 18 12 9 8 7 7 5 4 4 3 3 3 4 4 4 5 6 6 6 6 7 9 10 10 11 9 7 7 6 6 5 7 10 6 3 1 1 2 5 7 9 7 12 11 2 1 8 13 11 4 1 2 8 10 8 9 10 10 10 11 8 6 5 6 6 3 1 1 0 -0 5 11 11 4 1 3 9 11 5 2 5 9 13 9 5 5 6 4 3 5 10 10 9 6 3 3 4 3 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 5 5 5 4 3 4 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 5 4 5 5 5 7 9 11 15 16 14 10 8 7 6 6 6 6 5 5 4 3 5 5 4 6 7 8 9 7 8 6 5 10 11 8 7 7 7 5 4 3 3 4 4 5 4 4 3 3 3 3 4 4 5 7 7 7 6 5 5 4 5 5 6 6 5 3 2 4 5 6 6 6 5 5 5 5 5 5 5 6 6 7 9 6 7 8 9 10 11 12 14 14 12 10 9 7 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 6 5 5 5 5 5 5 5 6 6 5 6 6 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 8 8 7 5 4 3 2 2 2 1 2 3 4 6 8 9 9 8 7 6 4 3 3 3 3 3 3 3 3 2 1 1 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 3 3 4 4 4 4 3 4 4 5 5 5 5 6 7 8 9 8 7 12 33 42 24 11 8 7 6 7 6 5 4 3 2 2 2 3 3 4 5 7 7 6 6 6 7 8 9 9 9 8 6 6 6 5 4 5 7 8 7 2 2 5 4 5 6 4 8 8 4 2 4 7 8 7 7 7 11 14 10 8 9 6 8 7 5 4 4 3 2 -1 -3 -1 0 4 9 12 10 1 -1 1 3 4 0 -3 1 6 11 8 4 4 2 1 3 4 5 7 13 12 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 4 4 5 6 6 6 6 6 5 5 5 4 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 6 6 5 6 8 10 12 10 8 10 9 7 11 11 8 7 7 6 6 6 7 8 8 13 15 10 10 8 5 9 11 7 6 6 5 4 4 3 2 3 3 3 3 4 3 3 2 3 4 4 5 7 7 7 7 6 5 5 5 5 5 6 6 4 3 4 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 7 8 9 10 11 11 11 11 10 8 7 7 7 7 8 9 8 7 7 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 7 7 6 5 4 4 4 4 3 2 2 3 4 5 5 7 8 9 10 9 6 5 5 5 4 3 3 3 3 2 1 0 0 1 1 2 2 2 2 2 2 2 2 3 3 2 2 2 2 3 3 2 2 2 2 2 2 3 3 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 6 6 8 9 9 8 9 18 30 22 10 6 3 4 5 6 6 5 4 3 2 2 2 3 4 5 8 9 8 7 6 6 8 9 9 9 8 7 6 6 6 6 5 2 3 10 8 6 9 8 5 4 3 1 -2 -3 2 5 4 4 6 13 17 15 13 12 8 7 6 6 8 5 3 -0 0 2 0 0 -1 2 5 5 6 8 5 -1 -1 1 -0 -2 -1 -0 1 10 13 6 0 -3 -4 -1 2 4 4 11 20 14 3 4 4 3 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 5 5 5 5 5 4 4 4 4 3 3 3 3 4 5 5 6 6 7 6 6 5 5 5 4 3 4 4 3 3 3 3 3 3 4 4 4 3 3 3 2 2 2 2 2 3 3 2 2 3 3 2 2 3 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 6 7 6 6 6 6 6 7 8 7 7 7 7 10 13 11 7 7 8 6 5 6 8 9 11 13 11 10 9 5 4 6 4 3 3 3 3 3 3 2 2 2 2 3 3 3 2 3 4 5 5 5 6 6 7 6 6 6 5 5 5 5 7 7 6 5 4 5 6 6 6 6 6 6 6 6 4 4 5 5 6 6 6 6 6 8 9 9 9 9 8 9 9 8 8 8 7 8 9 9 9 8 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 6 7 6 7 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 5 4 4 5 6 6 5 4 4 4 4 4 4 5 6 7 8 9 9 8 7 6 4 3 3 4 3 3 2 1 1 2 2 1 1 2 2 2 1 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 2 3 3 3 3 4 4 4 5 5 5 5 5 4 4 3 3 3 2 3 3 3 4 5 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 9 9 9 9 11 20 22 11 7 5 2 3 4 5 7 6 5 5 4 2 2 3 4 6 9 9 9 8 7 7 8 9 9 8 7 7 7 6 7 8 8 3 2 8 6 7 10 8 7 6 3 -2 -4 -3 2 5 4 5 9 17 23 21 15 11 8 7 6 7 7 4 2 -2 -0 3 2 1 2 6 8 3 5 8 4 -0 -1 2 1 -0 2 4 6 14 12 3 -4 -8 -6 -1 4 7 6 17 24 11 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 5 6 7 7 7 6 5 5 4 4 3 3 3 3 3 3 4 4 3 3 3 2 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 2 3 3 3 3 3 3 3 4 3 4 5 5 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 7 8 10 9 8 8 6 6 6 6 6 6 6 7 7 7 5 3 3 3 2 2 2 3 3 3 2 2 2 2 2 3 3 3 6 9 9 6 5 5 5 6 6 6 6 5 5 5 5 6 8 8 6 5 5 5 6 6 7 7 6 6 6 5 5 5 6 6 5 5 6 5 6 8 9 9 8 8 8 8 9 10 10 9 8 8 9 9 8 7 8 7 7 6 6 6 5 5 4 4 3 3 4 5 5 5 5 4 4 5 7 8 9 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 4 3 3 3 4 6 5 5 4 4 4 3 3 3 4 4 5 6 8 8 8 8 7 4 3 4 4 4 2 1 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 3 3 3 2 2 3 3 4 4 5 5 5 5 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 3 4 4 5 5 5 6 7 9 10 10 11 11 14 18 17 9 6 5 3 3 3 3 7 7 6 7 6 4 3 3 5 7 9 9 9 8 9 9 9 9 9 8 6 6 7 6 7 6 6 8 8 10 4 5 6 5 10 11 5 -1 -1 1 4 4 4 7 11 13 14 14 14 13 10 7 6 8 7 4 -1 -2 -1 1 1 2 3 5 8 -0 3 6 4 2 -2 3 5 3 3 8 16 17 8 1 -6 -8 -4 2 6 9 8 17 22 9 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 3 3 4 4 4 5 6 6 7 8 7 6 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 5 5 4 4 4 4 3 3 4 5 6 8 9 9 8 7 7 6 5 5 4 3 3 3 4 4 3 3 2 2 2 3 3 3 3 2 2 2 2 2 2 3 6 11 16 15 9 5 3 4 5 5 6 6 5 5 6 5 5 7 7 7 6 5 5 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 8 9 9 8 8 8 9 10 11 11 10 8 8 8 8 8 8 7 7 6 6 6 6 5 5 4 3 3 4 4 5 5 5 5 5 6 7 8 9 10 10 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 4 4 4 3 2 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 6 5 5 6 6 5 2 1 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 2 3 3 4 5 5 5 5 5 5 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 8 9 10 13 15 16 16 15 12 8 7 5 3 4 1 2 5 6 7 8 8 7 6 4 5 7 8 8 8 9 10 9 8 8 9 8 7 7 7 5 3 5 8 9 10 8 3 1 2 4 9 13 8 2 3 4 5 4 4 8 9 5 3 4 9 13 10 6 7 9 8 5 -0 -1 2 1 2 4 -1 -3 5 1 1 3 3 3 -0 5 7 3 3 11 20 20 12 2 -6 -5 0 9 13 11 8 15 21 10 3 4 4 4 4 4 3 4 4 5 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 4 3 3 3 3 3 3 4 4 4 4 4 5 7 8 9 8 6 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 4 4 3 3 4 4 4 3 3 4 4 5 5 5 4 3 3 3 3 3 3 3 2 4 5 7 8 9 9 8 7 6 5 4 4 3 2 2 3 3 3 3 2 2 2 1 3 3 2 2 2 2 1 2 2 4 9 17 22 17 10 4 3 4 4 5 6 6 6 6 6 6 6 6 6 8 7 4 3 4 6 7 8 8 7 6 6 6 5 5 5 5 5 5 4 4 5 6 8 9 9 8 8 8 9 11 13 12 11 9 8 7 7 7 7 6 6 6 6 5 5 5 4 3 3 3 3 3 4 4 5 6 6 5 6 8 9 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 3 2 2 3 3 3 3 4 4 4 4 3 4 6 6 6 6 5 4 4 4 4 5 6 7 7 7 5 3 2 2 2 2 2 2 1 1 2 1 2 2 2 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 3 4 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 4 4 4 3 4 4 4 4 4 5 4 4 4 4 5 5 6 6 8 8 10 12 17 23 22 17 11 5 1 4 5 3 3 2 3 4 6 6 7 8 8 7 6 5 6 6 7 7 10 11 10 8 7 7 7 7 7 8 6 -0 -0 6 8 6 5 4 -2 -1 2 5 11 11 2 3 5 5 3 5 7 4 3 3 0 2 8 11 9 8 8 6 4 -1 -1 5 7 10 6 -8 -10 7 8 -0 1 3 1 2 1 2 5 9 12 16 22 20 4 -6 -1 10 16 16 9 6 14 21 13 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 4 4 4 4 3 3 4 4 4 4 3 3 4 7 10 10 8 6 5 5 5 4 4 3 4 4 4 4 4 4 4 4 5 6 6 6 6 7 6 6 6 6 6 6 6 6 5 4 4 5 4 5 4 4 3 4 4 4 4 3 2 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 3 5 6 8 9 9 8 7 6 5 4 3 3 2 2 3 3 2 2 2 2 2 2 2 2 2 1 1 1 2 2 5 12 20 22 16 8 3 3 4 4 4 5 6 6 6 6 5 5 5 6 6 6 5 4 4 4 6 7 8 7 7 6 5 5 5 4 5 5 5 5 5 5 5 7 8 9 8 8 8 8 10 13 15 15 13 9 8 7 7 7 6 7 7 6 5 5 5 5 3 3 3 2 3 4 4 4 5 4 3 4 6 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 2 2 2 2 3 3 3 4 4 3 3 4 5 7 7 7 6 4 3 3 3 5 7 8 7 7 5 4 3 2 2 2 2 3 3 3 3 4 4 4 4 4 3 4 4 4 5 4 4 5 6 6 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 5 6 7 8 9 11 17 26 32 24 14 8 -2 -5 -3 -1 -1 0 1 3 4 6 6 6 7 8 7 6 5 4 4 5 8 11 12 11 7 4 4 5 5 5 7 9 6 -1 -1 1 2 5 4 -1 -1 3 3 6 9 5 2 5 6 6 8 5 1 3 3 -0 -1 4 11 12 10 6 4 1 -1 2 7 11 12 3 -13 -9 16 18 -1 1 5 -2 2 3 -1 4 14 14 17 27 24 6 -3 4 15 18 13 5 5 15 23 14 4 3 4 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 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 3 3 3 3 5 8 10 9 8 6 6 5 4 4 4 4 4 4 4 5 5 4 5 5 5 6 7 7 7 7 6 6 6 6 6 6 5 5 4 5 5 5 6 5 4 3 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 4 6 8 9 8 7 6 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 6 12 18 17 11 5 2 1 3 4 4 5 6 6 7 6 5 5 5 5 5 5 6 5 5 4 4 5 6 7 7 6 6 5 4 4 4 5 5 6 5 5 4 5 7 8 8 8 7 8 8 11 15 19 18 14 10 8 7 7 7 6 6 6 6 6 5 4 4 3 3 3 4 3 3 3 4 2 1 2 5 7 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 3 2 2 2 3 3 3 4 3 3 3 3 3 5 6 7 6 5 4 3 4 5 6 7 7 6 6 5 5 4 4 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 5 4 4 4 5 6 6 6 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 3 4 4 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 6 7 8 9 11 16 25 35 34 20 6 1 -2 2 -2 -8 -4 -1 1 3 5 6 7 7 7 7 7 6 5 3 4 4 7 11 12 10 5 1 2 4 5 4 3 7 11 9 3 -1 -1 2 2 1 2 6 4 4 5 7 9 10 8 8 7 3 0 2 2 -1 -1 5 10 11 8 5 3 2 3 6 9 10 7 -3 -10 2 25 21 -1 1 5 -2 2 6 2 3 10 12 23 32 22 6 2 9 15 15 9 4 5 14 24 17 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 6 8 9 8 7 6 5 5 5 5 5 4 5 5 5 5 5 5 4 5 4 5 6 6 5 5 4 4 4 4 5 5 4 4 4 4 5 6 6 6 5 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 6 8 8 7 6 5 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 1 1 2 2 2 5 10 13 11 6 4 3 -1 0 3 4 4 4 6 7 7 6 5 5 5 4 4 5 6 5 5 4 4 5 6 6 6 5 5 4 4 3 4 5 5 5 5 4 5 6 7 7 8 8 7 7 9 13 20 26 24 18 11 8 7 6 5 6 7 6 6 5 4 4 4 3 3 3 2 2 3 2 1 1 2 4 7 8 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 5 5 4 4 4 4 3 3 3 4 4 3 3 3 3 4 5 6 7 6 5 4 4 5 5 5 5 6 6 6 6 5 4 4 4 5 5 5 6 6 6 6 6 4 4 4 4 5 6 7 7 7 6 5 5 5 5 6 6 7 7 6 6 6 6 5 4 4 5 5 4 3 3 3 3 4 4 5 5 5 4 3 3 3 4 4 4 5 6 6 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 7 9 11 13 17 23 30 34 29 16 0 -7 1 14 8 -4 -1 1 2 4 5 6 7 7 7 7 8 7 6 4 4 5 6 9 11 9 4 0 2 5 7 6 4 4 6 9 9 5 1 2 3 3 5 8 9 8 4 7 12 11 7 8 8 3 0 2 3 1 3 6 10 10 8 6 6 7 6 7 8 6 1 -8 -3 13 25 15 -3 -0 6 2 3 4 5 8 3 8 27 31 16 6 8 14 16 13 6 3 6 14 24 17 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 5 6 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 3 2 3 5 6 7 8 7 6 5 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 6 7 7 6 5 4 4 4 5 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 4 7 8 5 4 5 5 1 -1 3 4 4 4 5 6 7 6 5 5 5 4 4 5 5 5 5 5 4 4 5 6 5 5 5 4 4 4 4 4 5 5 5 5 4 5 6 6 6 7 7 6 7 10 17 28 31 25 15 9 7 7 5 6 6 6 5 5 5 5 4 3 3 3 3 2 2 1 2 2 2 3 6 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 6 5 5 5 5 3 3 4 3 4 4 4 4 4 3 3 4 5 6 6 6 5 4 3 3 3 3 4 5 6 6 5 5 5 4 5 5 5 6 6 6 7 6 5 4 3 4 5 6 7 7 6 5 4 4 5 5 6 6 7 7 7 7 6 6 6 5 4 4 3 3 3 2 2 3 3 4 5 5 5 5 4 3 2 3 4 4 4 5 5 5 5 5 4 4 4 4 3 4 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 6 9 13 17 20 22 23 23 23 21 15 3 -7 -1 7 7 1 3 3 3 4 6 6 6 7 8 8 9 8 8 6 5 5 6 7 10 12 8 4 4 7 11 11 10 9 7 6 5 3 2 4 4 5 6 11 15 15 8 7 8 5 5 9 7 3 1 3 4 5 7 7 9 14 15 12 10 8 7 8 7 4 -1 -5 1 14 18 8 -2 0 6 7 5 2 2 4 3 16 31 24 11 8 13 16 14 10 5 4 8 17 23 14 5 4 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 6 6 5 5 5 5 4 4 3 3 3 2 2 2 3 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 4 7 9 11 10 7 5 4 4 4 3 3 2 2 3 3 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 2 2 3 2 2 4 4 2 3 8 6 1 -0 3 5 5 5 5 6 6 6 6 5 5 5 4 4 5 4 3 4 4 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 8 12 20 26 24 15 9 11 12 10 8 5 5 6 6 6 6 5 5 4 3 2 2 1 1 2 3 3 3 5 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 7 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 6 6 5 4 3 3 2 2 3 4 5 5 6 5 4 4 5 5 5 5 6 6 6 5 3 3 4 5 6 7 7 6 4 4 4 4 5 5 6 6 6 6 6 5 6 6 5 4 3 2 2 2 2 2 2 3 3 5 6 6 5 5 4 2 2 2 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 7 10 14 19 21 21 19 16 13 12 13 13 8 -2 -6 -9 -6 -0 0 2 4 6 6 6 5 7 9 11 11 10 9 7 6 5 4 4 8 12 12 10 9 8 13 14 13 11 7 5 3 1 3 3 4 6 6 10 14 14 12 11 9 6 9 10 8 6 4 3 4 6 7 5 10 19 21 17 10 6 7 7 5 5 4 1 3 8 11 11 5 4 6 9 4 -0 -2 1 12 27 26 14 9 12 15 14 10 7 5 5 9 17 21 11 4 4 4 5 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 4 5 4 5 5 5 5 6 6 6 5 5 4 4 4 4 4 3 2 3 3 3 3 3 4 5 5 5 5 4 4 4 3 3 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 4 8 12 14 12 8 5 5 4 3 3 3 2 3 3 4 5 5 4 4 4 4 4 5 4 4 3 3 3 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 5 5 6 5 5 5 5 4 4 4 3 3 2 2 3 3 2 3 8 7 1 1 4 5 5 5 5 5 6 6 6 6 5 5 5 4 5 4 3 3 3 4 5 7 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 7 9 12 15 16 13 10 15 20 19 12 6 5 6 7 7 6 5 5 5 4 3 1 1 1 1 2 3 4 4 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 7 6 5 4 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 5 5 5 5 4 3 4 4 5 6 6 5 4 3 3 4 4 4 5 5 5 6 5 5 6 7 6 5 3 1 1 2 2 3 3 3 3 4 5 5 6 6 5 3 3 2 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 7 11 13 17 20 17 15 12 9 9 9 9 9 8 2 -3 -6 -6 -1 -1 3 5 6 5 5 5 6 10 14 13 10 9 7 6 5 4 3 5 6 6 7 9 8 10 11 11 7 2 1 1 3 3 2 5 5 4 7 6 6 11 14 10 7 10 9 8 11 9 5 3 4 2 1 8 17 20 16 9 4 4 7 7 5 3 5 6 4 7 13 13 7 3 8 -1 -0 6 9 18 23 16 9 6 9 10 8 5 5 5 6 10 19 23 12 4 5 5 5 4 4 5 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 6 6 6 6 6 5 5 4 4 4 3 2 2 3 3 4 4 4 5 4 4 4 4 4 3 3 2 2 1 1 1 2 2 2 2 2 2 2 3 3 3 4 4 4 5 4 3 2 1 1 0 1 3 5 10 14 15 13 9 6 5 4 3 2 2 2 3 3 4 6 6 6 5 4 4 4 4 4 5 4 4 4 4 4 4 4 3 2 3 3 3 4 4 4 4 3 3 4 5 6 6 6 6 6 6 6 4 4 3 2 2 4 5 6 4 2 2 3 3 4 5 5 5 5 5 5 6 6 6 6 5 5 4 5 5 4 3 3 4 4 5 7 7 7 6 5 5 5 5 5 5 5 5 5 4 4 3 4 4 5 5 5 6 7 8 9 8 8 10 15 23 24 15 7 5 6 6 6 6 6 6 6 6 5 3 2 1 1 2 3 4 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 8 7 6 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 3 4 5 5 6 6 5 5 4 3 3 3 4 5 4 5 4 4 4 3 4 4 4 4 4 4 3 3 5 6 5 4 3 2 2 2 3 4 4 4 5 5 5 5 5 6 7 6 4 2 2 2 3 3 3 3 3 4 4 5 6 6 5 5 3 3 3 3 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 5 5 5 5 5 4 8 13 14 15 14 9 8 9 10 13 16 13 8 6 4 3 1 0 0 2 4 6 5 5 4 4 5 10 15 14 10 8 6 6 7 5 3 3 2 2 3 5 6 6 6 2 2 4 2 1 2 1 3 8 4 3 4 1 0 7 10 7 5 6 5 6 11 12 8 6 6 2 -1 3 12 16 14 8 4 4 8 9 3 1 5 6 4 6 9 8 4 2 4 -5 -1 19 19 16 14 8 2 -0 4 4 3 3 5 6 7 11 19 20 10 4 5 5 5 5 4 4 4 4 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 6 6 7 6 6 5 5 5 4 3 3 3 4 4 4 4 4 5 4 4 4 4 4 3 2 2 2 2 3 3 4 5 4 3 3 3 3 3 4 5 6 6 8 8 8 6 4 3 2 2 2 3 6 10 14 14 12 8 6 5 3 3 2 2 2 3 4 5 5 6 6 5 4 4 4 4 5 5 4 5 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 4 6 6 6 7 7 7 6 5 4 4 3 4 6 8 8 5 -0 -2 2 5 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 3 3 3 4 5 7 8 6 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 5 6 7 7 7 7 9 12 18 19 13 8 6 6 5 5 6 6 7 8 8 7 6 4 2 2 2 2 4 5 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 7 8 8 7 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 4 3 3 4 4 5 6 6 7 6 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 3 2 2 2 2 3 3 4 5 6 6 4 4 5 7 7 6 5 4 4 3 3 3 3 4 4 4 5 6 6 6 6 5 4 4 4 4 4 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 6 11 14 13 10 8 6 7 10 12 17 23 20 9 3 3 3 2 3 4 5 5 5 5 4 5 4 4 8 13 15 11 7 6 7 8 6 3 2 2 4 6 6 5 3 2 1 3 7 8 7 4 2 8 7 1 3 5 1 0 4 7 6 6 4 3 3 6 8 10 11 6 4 2 1 10 15 14 9 6 6 7 3 1 4 5 6 6 5 3 1 3 3 3 -6 -4 19 25 15 7 -2 -6 -4 1 1 2 6 8 8 8 9 13 16 10 4 5 5 5 4 4 4 5 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 6 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 4 6 7 8 7 5 3 3 4 4 5 6 6 7 10 11 11 10 8 6 4 4 3 4 7 10 12 11 10 7 5 4 3 2 1 2 3 4 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 4 3 3 3 3 4 4 3 2 2 3 4 5 6 7 7 8 7 6 6 4 4 4 5 8 10 8 5 2 -1 2 5 5 3 3 4 5 5 4 4 5 5 5 5 6 6 6 6 5 4 3 3 3 3 4 6 7 6 4 3 3 3 3 4 4 4 4 4 4 4 3 3 2 3 3 4 4 5 7 7 7 8 9 11 10 9 7 6 5 5 5 5 6 7 9 10 10 9 6 4 2 2 3 4 6 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 7 6 5 5 5 5 4 5 6 6 7 7 7 7 5 5 5 5 5 5 4 2 2 3 4 6 7 7 7 6 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 4 3 2 2 2 2 2 4 5 6 5 4 4 5 6 6 6 6 5 4 3 3 3 4 4 4 5 5 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 6 6 6 6 8 11 15 14 10 7 6 7 8 9 11 17 22 21 8 1 2 3 3 4 5 5 5 5 4 5 5 5 4 5 10 14 12 8 7 8 9 7 4 1 0 2 7 11 10 7 5 5 8 9 9 10 5 7 18 4 -2 4 5 3 5 8 9 7 5 2 1 3 2 4 11 13 4 4 5 5 11 15 15 9 7 8 6 3 7 10 8 8 10 4 1 2 5 5 1 -0 2 15 24 11 0 -5 -4 -0 3 5 8 10 8 7 7 7 11 18 15 6 5 6 5 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 5 4 4 4 4 3 3 2 2 2 2 2 2 3 4 5 7 8 9 8 6 4 4 4 6 6 6 5 6 8 10 11 11 10 10 9 7 6 5 6 8 7 7 7 6 5 4 3 2 2 3 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 4 4 4 3 3 4 3 3 3 3 2 3 4 5 7 8 8 7 7 6 5 4 4 4 7 10 8 5 2 1 4 7 6 4 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 4 3 3 4 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 3 2 2 2 3 4 4 5 6 6 7 8 7 6 6 6 6 6 5 4 4 5 7 8 11 14 13 8 4 2 2 3 3 4 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 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 7 8 8 7 6 5 5 5 5 5 3 1 1 2 4 5 7 7 7 6 4 3 3 3 3 3 3 3 4 5 4 4 5 4 4 3 3 3 4 5 5 4 2 1 1 2 2 3 5 6 5 4 4 4 5 6 7 6 5 3 2 3 3 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 8 13 17 15 10 6 5 6 7 8 9 11 14 19 17 6 1 2 3 4 5 5 5 5 5 5 5 5 4 4 4 7 12 12 9 9 9 9 8 6 3 1 1 5 12 14 13 8 4 4 2 0 4 8 14 18 2 -0 5 5 4 10 12 9 6 3 0 1 4 4 4 9 9 2 2 7 10 13 13 10 5 8 13 9 8 11 11 11 12 11 5 3 5 5 4 0 8 12 19 20 5 -4 3 10 13 13 14 15 12 7 6 6 7 12 19 17 7 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 5 5 5 4 4 4 3 3 2 2 2 1 1 1 2 3 4 5 6 6 7 7 7 6 4 3 4 6 6 5 4 5 6 6 7 8 10 12 13 12 9 7 6 5 4 5 6 7 6 5 4 4 4 4 5 5 5 5 4 4 4 3 3 3 4 4 4 4 5 5 6 7 7 6 6 6 6 5 5 5 4 4 4 4 3 3 2 3 4 5 7 8 8 7 7 6 5 4 4 3 5 9 8 2 -0 3 6 8 7 5 3 3 3 4 4 4 4 4 4 5 5 5 6 7 7 7 6 4 4 3 4 4 6 6 5 3 3 3 3 4 4 4 5 5 4 4 4 4 3 3 3 3 3 4 5 5 6 6 6 7 7 7 6 6 5 5 4 3 4 6 9 14 18 17 10 3 1 2 2 2 3 4 5 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 4 5 5 4 4 3 4 4 4 5 6 7 8 9 9 7 5 5 5 5 5 4 3 1 0 2 3 5 6 7 6 5 4 3 3 3 3 3 3 4 5 5 6 5 5 4 4 5 5 5 6 6 5 3 2 1 1 2 3 4 6 5 4 3 4 5 6 6 5 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 6 6 9 15 15 10 6 4 5 5 6 7 9 11 14 16 9 3 1 2 3 4 4 5 4 5 5 5 5 5 4 4 4 6 10 11 9 10 10 9 7 6 4 3 4 5 8 10 11 7 3 0 -2 0 -1 1 12 7 2 7 8 5 6 14 13 6 3 3 2 4 7 8 6 6 4 3 5 10 13 13 9 4 3 9 16 12 9 7 7 9 13 10 5 4 6 3 -3 -1 14 21 25 16 0 -1 12 23 26 23 20 16 10 7 6 6 7 12 18 17 9 5 5 5 5 4 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 2 3 3 5 5 5 5 5 5 5 4 4 5 6 6 7 7 7 6 5 5 4 4 3 3 2 1 2 2 2 2 1 2 4 5 7 6 5 4 5 5 5 4 3 4 4 4 4 4 4 4 4 4 5 6 10 14 15 12 7 4 3 3 5 7 7 7 6 5 5 5 5 6 5 5 4 4 3 3 3 3 3 4 4 4 4 5 5 6 6 7 7 7 7 7 6 6 6 6 6 5 5 4 3 2 2 3 5 6 7 8 7 6 6 5 4 3 3 4 8 7 1 0 4 6 8 8 6 4 3 3 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 5 4 4 4 5 6 6 4 3 3 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 5 5 5 5 6 6 7 8 7 6 6 5 4 4 5 7 11 17 21 19 10 3 1 1 1 -0 1 3 4 5 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 4 5 4 4 3 2 3 3 4 5 6 8 9 9 8 6 6 5 5 6 6 4 2 0 0 2 3 5 6 7 6 5 4 4 3 3 3 3 4 5 7 7 6 5 5 6 8 8 8 9 9 8 5 3 2 1 1 3 4 4 4 4 3 4 5 6 6 5 4 4 4 4 4 4 3 4 4 4 5 4 4 4 5 5 5 5 4 4 3 3 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 3 4 4 5 5 5 6 6 6 6 7 12 13 8 5 4 5 5 6 8 10 12 16 13 2 -0 1 2 3 4 4 4 5 6 6 5 5 6 6 6 6 8 11 12 9 9 10 5 4 4 2 3 8 9 6 7 8 6 4 2 2 6 -1 -5 -0 -5 3 15 11 4 7 16 11 3 -1 -1 5 11 12 11 7 2 1 5 8 12 13 10 5 1 5 11 13 11 6 1 1 3 6 6 4 4 6 1 -6 0 17 30 26 11 1 4 14 24 27 24 17 11 7 7 6 5 6 9 16 19 11 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 5 5 5 5 5 5 4 5 6 6 6 7 7 7 7 6 6 5 3 3 2 2 2 3 3 3 3 3 3 5 7 7 6 4 3 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 4 6 9 12 11 7 4 3 4 6 8 7 6 5 4 4 5 5 5 5 4 3 3 3 2 2 2 3 4 4 4 5 5 6 6 7 7 7 7 7 8 8 7 10 12 10 9 8 6 4 3 2 3 5 6 7 7 6 5 5 4 3 2 3 4 7 6 3 2 3 6 8 9 9 6 3 2 3 4 4 4 4 3 3 3 3 4 5 6 7 7 7 7 6 5 4 5 5 6 6 5 3 3 3 3 3 4 4 4 5 5 4 5 4 4 3 3 4 4 5 5 5 5 6 7 7 7 6 6 6 5 5 6 9 13 19 22 18 9 3 1 1 -0 -1 -1 1 3 4 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 3 4 5 5 4 3 2 2 3 3 4 5 6 7 8 7 7 7 6 5 6 7 7 5 3 1 1 2 3 4 5 6 5 4 3 3 3 2 3 4 6 8 9 8 7 7 8 10 10 9 10 11 11 8 6 3 2 2 2 3 4 4 3 3 4 5 5 5 5 4 4 4 5 5 4 3 3 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 5 6 6 6 9 12 11 7 5 4 5 7 10 10 14 18 11 1 -1 1 3 3 4 4 4 4 6 6 6 7 8 10 10 10 11 13 13 8 6 7 3 3 3 2 4 8 4 3 5 6 4 3 4 5 6 5 7 -0 -4 5 9 4 0 5 8 4 0 -1 1 6 8 9 12 9 3 3 8 10 10 8 6 3 -4 2 11 7 5 -0 -2 -1 -0 -2 -2 2 7 7 1 -3 2 18 33 20 7 5 8 13 17 19 16 10 6 5 5 6 5 5 10 20 22 11 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 4 4 4 4 4 3 3 4 3 3 4 4 5 5 5 5 4 4 5 6 6 6 7 8 8 8 7 6 4 3 3 3 3 3 4 5 5 5 4 5 7 8 7 4 2 3 5 6 6 6 5 4 2 2 2 3 4 4 4 4 3 3 3 5 6 6 6 4 4 5 6 6 5 4 4 4 4 4 4 5 4 3 3 3 2 2 3 3 3 4 4 5 6 6 6 7 7 8 8 7 7 7 8 9 13 15 14 12 11 10 7 5 4 4 4 5 6 6 5 4 4 3 2 2 3 4 5 4 3 3 3 4 8 11 11 7 4 2 3 3 4 4 4 3 3 3 2 2 3 4 5 6 8 8 8 6 5 5 5 6 7 6 4 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 3 4 5 5 6 5 5 6 7 8 7 6 6 6 5 6 9 13 18 19 14 7 3 2 2 0 -2 -2 0 2 3 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 5 6 6 5 4 3 2 2 2 3 4 5 6 7 7 8 8 7 7 7 7 8 8 6 3 1 1 1 2 4 5 5 5 4 3 3 3 3 5 8 10 11 10 8 8 8 8 8 7 8 10 12 12 9 7 5 3 3 4 4 4 3 3 4 5 5 4 4 4 4 5 5 5 4 3 3 3 3 3 4 4 3 3 3 4 4 3 4 3 2 2 2 3 4 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 13 16 8 4 4 6 9 9 9 17 19 10 2 1 1 3 4 4 4 4 5 6 6 7 9 11 12 14 14 13 14 13 8 5 4 2 3 5 2 6 10 3 4 3 2 2 3 5 6 4 5 8 9 12 14 4 -2 -2 2 1 0 -2 -1 3 7 5 5 10 10 5 5 9 10 7 2 0 3 1 6 11 7 4 4 7 8 6 -1 -2 2 6 2 2 5 7 18 27 16 10 10 11 12 13 12 10 7 5 4 4 5 4 5 13 19 12 1 2 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 3 4 4 5 5 5 5 4 5 5 6 6 6 7 8 8 8 6 5 3 2 2 3 3 5 6 6 7 7 6 6 8 8 5 2 2 5 7 9 8 7 6 4 3 3 3 4 4 4 5 5 4 4 3 3 3 3 4 4 5 6 5 4 3 2 3 3 3 4 5 4 4 4 3 3 3 3 3 3 4 4 5 5 5 6 6 7 8 9 9 8 7 7 8 10 13 13 12 10 10 11 8 5 4 5 5 5 5 5 4 4 3 2 2 3 3 4 3 3 3 3 3 6 10 13 13 8 4 3 3 3 3 3 4 3 3 2 3 3 3 3 3 5 6 8 9 8 7 6 5 5 6 6 5 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 3 4 4 5 5 5 5 5 8 9 8 7 6 5 5 6 8 11 14 14 11 6 3 3 2 0 -1 -2 0 2 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 4 5 5 5 6 7 7 6 5 3 2 2 2 3 4 5 6 6 7 8 9 9 8 8 9 10 9 7 4 2 1 1 2 5 6 4 3 3 3 4 5 6 9 13 14 12 11 9 7 5 5 5 5 7 11 14 13 11 8 6 5 6 5 4 4 3 3 4 4 4 4 4 4 5 5 4 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 3 3 2 2 3 3 4 5 5 5 5 5 6 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 8 17 17 7 5 6 9 11 7 9 19 18 8 2 1 2 3 4 4 4 4 5 6 8 10 10 11 14 14 12 11 13 12 10 7 5 2 3 5 6 7 9 7 9 5 1 1 3 5 5 6 7 3 3 12 18 11 1 -0 2 4 5 2 2 4 10 10 8 6 8 9 9 11 11 8 3 2 10 16 17 13 10 8 9 10 13 11 3 1 5 4 -1 -0 5 8 18 23 18 14 12 11 11 11 10 8 6 5 5 5 4 4 5 9 8 -0 -2 5 9 8 6 5 5 4 4 4 5 4 4 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 5 5 6 6 6 6 7 7 6 5 3 3 2 2 3 4 6 7 7 8 8 7 7 8 6 4 2 3 6 9 9 8 7 6 5 4 4 5 5 5 5 6 5 5 5 4 4 4 3 3 4 4 4 3 3 2 2 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 6 7 8 9 9 9 8 8 12 14 11 8 8 9 9 8 6 5 5 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 5 10 14 15 13 9 6 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 6 7 8 8 7 6 5 5 6 5 4 3 3 2 2 2 2 3 3 3 2 2 3 3 3 3 4 4 5 5 5 5 6 7 9 10 9 7 6 6 6 8 9 10 11 9 6 4 2 1 -0 -1 -0 1 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 6 6 7 8 8 7 5 3 2 2 3 3 4 4 5 6 8 9 10 10 9 8 10 10 10 9 6 4 3 3 5 5 4 3 2 3 5 6 8 10 13 13 12 11 9 6 5 3 3 3 5 9 13 15 14 11 8 7 7 7 5 4 3 3 4 4 4 4 4 4 4 4 3 3 2 3 4 5 5 5 5 5 5 5 6 6 6 6 5 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 9 18 15 6 6 9 13 13 11 15 15 12 5 3 2 3 4 4 4 4 4 4 6 12 14 9 8 12 11 10 10 11 11 11 10 9 6 3 7 12 10 5 6 6 6 1 -0 3 4 4 7 8 0 -1 7 11 10 5 3 4 6 7 9 10 8 11 14 9 7 10 14 17 18 17 16 16 17 19 20 15 9 7 6 5 8 15 12 6 6 11 9 4 7 13 15 20 21 17 12 10 11 10 10 8 6 6 5 6 5 4 3 4 6 4 2 5 10 16 13 5 5 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 2 3 3 4 5 5 6 7 8 8 8 8 7 4 3 3 5 7 8 8 7 6 6 5 5 5 5 6 6 7 6 7 7 6 6 6 6 5 4 4 4 3 3 3 3 4 4 4 5 5 4 4 4 4 4 3 3 4 4 4 4 4 5 4 4 5 5 6 7 7 8 8 10 10 11 16 15 10 8 9 10 12 12 9 5 4 4 4 5 5 6 6 5 6 5 4 4 3 3 3 4 6 11 15 18 16 13 10 7 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 7 8 8 7 6 6 5 5 4 4 4 3 2 2 2 2 3 2 2 2 3 3 3 4 4 4 5 5 5 6 6 7 9 10 10 9 7 7 6 7 8 9 9 8 7 4 2 1 0 0 1 2 2 3 2 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 5 5 6 7 8 9 10 9 6 4 3 3 3 3 4 4 5 6 9 10 10 8 7 8 9 11 14 12 9 7 6 6 5 4 3 3 5 6 7 8 10 11 11 10 9 8 5 4 4 4 3 4 7 10 12 12 11 9 8 8 7 6 5 3 3 3 3 4 4 4 4 4 3 2 2 3 3 4 5 6 6 5 5 5 6 6 7 7 7 7 5 4 4 3 2 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 6 6 6 7 6 11 17 12 5 7 13 15 15 19 22 12 7 4 3 2 4 4 4 4 4 4 5 9 16 16 9 8 10 9 9 10 10 11 9 8 10 8 7 11 11 9 7 7 2 3 2 1 4 2 2 9 4 -3 2 6 1 1 3 4 5 6 6 9 10 7 7 10 9 12 14 17 20 21 21 21 24 24 20 15 8 2 -1 -2 0 3 10 12 14 18 18 15 13 18 24 23 20 16 11 9 10 10 7 7 6 5 5 5 5 4 2 1 3 6 5 5 8 13 20 15 5 4 4 4 4 4 5 5 5 5 5 4 5 5 4 5 5 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 3 2 3 3 4 6 7 6 4 5 7 8 7 7 5 3 2 4 6 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 8 8 8 7 6 5 4 4 4 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 6 6 6 7 7 10 14 16 19 20 15 11 10 11 12 13 15 13 6 3 4 4 6 7 8 8 8 8 7 6 5 4 3 3 5 10 17 20 18 15 12 9 8 6 6 5 5 4 4 4 3 3 4 4 4 4 4 4 3 3 3 5 6 8 9 8 7 6 5 4 4 4 4 3 2 2 2 3 3 3 3 4 4 3 4 5 5 6 5 5 5 4 5 8 9 9 10 9 7 7 7 7 8 8 7 6 4 2 2 2 1 2 2 3 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 5 5 6 6 8 10 11 11 8 5 4 3 2 2 3 4 4 5 7 10 9 8 6 5 6 10 15 16 13 10 7 6 4 3 4 5 6 7 7 8 9 9 7 6 7 6 5 4 4 4 4 4 4 6 8 8 8 7 7 7 7 6 5 4 4 4 3 4 4 4 4 4 3 2 2 3 4 4 5 5 5 5 4 4 5 6 7 8 7 7 6 5 4 3 3 3 4 3 2 3 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 7 7 6 12 16 11 6 8 12 13 15 20 16 8 4 3 3 3 4 4 4 4 4 3 6 12 15 13 9 7 8 9 9 9 11 11 8 9 11 8 7 10 10 6 6 6 4 2 3 3 4 3 5 12 5 -2 3 0 -6 -4 1 4 6 5 5 8 8 8 10 12 10 13 15 15 14 13 12 12 14 13 9 7 2 -4 -9 -8 -5 -6 1 10 21 30 23 14 11 13 19 19 13 8 5 7 10 9 6 5 5 6 5 5 5 4 1 0 5 7 6 6 8 13 19 16 7 4 4 4 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 5 5 5 6 6 6 6 5 6 5 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 3 3 2 3 4 6 7 8 6 3 3 5 6 6 5 4 3 3 5 6 6 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 5 4 4 5 5 6 6 6 5 5 4 4 4 4 4 5 4 4 4 4 5 5 5 4 4 5 6 6 6 7 7 10 18 24 26 24 18 14 13 13 12 12 11 12 11 6 3 4 6 8 9 11 12 12 11 9 7 5 5 4 4 6 11 18 18 14 12 11 9 9 8 8 7 6 5 4 3 3 3 3 4 4 4 5 5 4 4 4 3 5 6 8 9 8 7 6 5 5 4 4 4 3 4 5 5 5 5 4 4 5 5 4 5 6 7 6 5 4 4 4 5 6 7 9 10 9 8 7 7 7 7 7 7 5 2 4 4 3 3 3 3 3 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 5 5 6 7 9 10 10 9 7 5 3 1 2 3 4 5 6 6 8 8 7 6 4 4 7 13 14 12 8 5 4 4 4 5 6 7 7 7 7 7 6 5 5 5 5 4 3 3 4 5 5 3 3 4 4 5 5 5 5 6 6 6 5 4 4 4 3 4 4 4 4 3 3 3 4 4 5 5 5 4 4 4 4 5 6 7 8 7 7 6 5 5 4 5 5 5 4 3 3 3 3 3 4 5 6 6 6 7 7 6 6 7 7 7 7 8 9 15 17 10 6 8 8 11 15 14 4 2 3 3 3 3 3 4 4 4 3 3 6 10 11 9 7 6 6 10 10 8 11 12 13 15 11 4 3 7 9 4 1 2 6 4 2 3 3 6 10 13 5 4 7 1 -4 -4 1 7 9 8 7 8 10 14 15 13 10 8 8 6 3 3 1 -0 0 -0 -0 2 3 -1 -3 1 -1 -5 -1 4 18 27 18 10 9 10 12 8 1 -2 2 8 11 9 6 5 6 7 6 5 5 3 0 2 6 7 6 6 8 13 21 19 8 4 4 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 5 5 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 4 4 3 2 2 2 3 4 6 9 9 7 4 3 4 5 4 4 3 3 4 4 5 5 4 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 7 7 7 7 6 5 5 5 5 6 6 5 5 5 5 4 4 4 4 5 4 4 5 4 4 5 5 5 5 5 5 6 6 7 7 9 18 26 25 21 17 16 15 15 13 11 10 9 9 8 5 4 5 7 9 10 12 13 13 12 10 8 6 5 5 5 5 8 11 10 10 10 10 9 9 10 10 10 9 6 5 4 3 3 3 3 4 4 4 5 6 5 5 4 4 5 7 9 9 8 6 5 5 4 5 5 5 5 6 8 9 7 5 4 4 5 5 6 6 7 6 5 5 5 4 3 4 5 7 9 10 10 9 8 6 6 7 7 6 5 5 5 5 5 4 3 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 5 5 5 6 6 7 9 9 8 6 5 3 2 2 4 6 6 5 5 7 8 7 5 4 3 5 9 10 8 4 2 2 3 4 5 6 7 7 6 7 6 5 4 4 3 3 3 3 3 5 6 6 4 3 3 3 4 4 5 5 6 6 5 5 5 4 4 3 3 4 4 4 3 3 4 5 5 4 4 4 4 3 3 3 4 5 6 7 7 6 5 5 5 6 7 7 7 6 4 4 3 3 3 4 5 5 6 6 6 7 7 7 8 8 9 11 12 16 22 17 9 7 6 2 10 14 7 1 1 2 3 3 3 3 3 4 4 3 3 5 8 8 7 6 5 5 8 7 7 9 12 18 19 8 1 3 10 10 1 -4 -0 4 5 3 3 3 6 10 6 4 11 10 5 2 1 5 13 16 11 8 9 13 16 11 6 5 1 -3 -3 -4 -3 -6 -6 -3 -3 -2 4 8 6 10 20 13 1 -1 4 11 11 10 9 9 10 5 -3 -9 -5 6 10 9 8 6 6 7 8 6 5 5 3 1 3 6 6 5 6 9 17 25 20 8 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 3 3 4 6 7 8 7 4 3 3 4 3 3 3 3 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 11 22 26 18 13 15 18 18 15 11 9 8 8 7 7 6 4 6 7 8 9 10 11 11 11 9 8 7 6 5 5 5 5 3 4 6 7 7 8 9 10 14 17 17 12 6 4 3 3 3 3 3 4 4 5 5 6 5 5 4 4 5 8 10 9 7 6 5 5 5 5 6 6 8 10 11 9 6 4 3 4 5 5 6 6 6 5 5 5 5 4 3 4 5 6 8 9 10 9 8 7 7 7 6 6 5 5 5 5 4 4 3 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 5 5 5 5 5 6 6 7 7 6 4 3 2 3 5 7 7 6 5 6 7 7 6 4 4 5 6 7 5 2 1 2 3 3 4 5 5 6 6 6 5 5 3 1 1 1 1 2 3 5 7 6 5 4 4 4 4 5 6 6 6 6 6 6 5 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 3 3 4 5 6 6 7 6 5 5 5 6 8 9 8 7 5 4 3 3 4 4 5 5 6 6 7 7 8 9 10 12 15 19 21 25 25 17 8 5 -1 -4 7 11 4 1 2 2 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 7 6 5 4 5 8 15 16 10 8 9 11 5 -0 1 2 3 5 4 5 6 6 6 0 6 13 8 7 7 7 13 20 17 11 8 9 11 11 5 2 4 -2 -6 -3 -4 -5 -10 -2 3 0 1 7 8 8 16 26 15 4 5 8 9 3 4 4 7 6 1 -5 -4 7 15 12 8 7 5 6 8 8 6 5 5 3 3 4 5 4 4 5 12 24 27 15 5 4 4 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 4 3 3 3 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 4 4 3 3 3 2 2 3 4 4 4 5 5 6 5 5 4 4 4 4 3 3 3 4 4 4 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 8 13 23 25 18 13 17 21 18 12 9 8 8 7 6 6 6 5 6 6 7 8 8 8 9 9 8 7 6 6 5 5 5 4 2 2 4 5 6 6 6 7 13 19 23 20 11 5 4 3 3 3 3 4 4 4 5 6 6 6 4 3 4 6 8 9 8 7 5 5 5 5 6 7 7 9 10 9 7 4 3 3 4 5 5 5 5 4 4 5 4 4 4 3 4 4 5 7 9 9 9 8 8 8 6 5 4 4 5 4 4 3 3 3 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 6 5 5 5 5 5 5 5 4 3 2 3 4 5 6 7 7 5 6 7 8 6 4 4 6 6 6 5 4 3 2 2 2 3 4 5 5 5 5 5 4 2 1 0 0 0 2 3 5 6 6 6 5 4 4 4 5 5 6 7 6 6 5 4 3 4 3 4 4 4 4 5 5 5 4 4 4 5 5 5 5 3 3 4 5 6 6 7 6 5 4 4 6 7 8 8 7 6 5 3 3 4 4 4 5 5 6 8 9 11 13 16 21 28 29 26 21 19 17 10 6 -3 -3 5 8 3 1 1 2 3 3 4 4 3 3 3 3 4 4 6 8 6 5 7 11 10 5 1 3 5 8 10 11 12 9 5 3 8 6 5 5 5 4 5 7 6 1 2 8 10 6 6 7 11 19 19 12 9 8 8 8 7 5 4 4 -3 1 6 2 -0 -5 6 12 10 7 6 6 4 3 -1 -5 5 14 7 5 6 7 2 4 2 2 3 13 24 21 11 7 6 7 7 7 7 7 7 6 4 4 4 3 3 4 6 17 28 22 8 3 4 5 5 6 6 6 5 5 4 4 5 5 4 4 4 4 4 5 4 4 3 2 3 4 5 5 5 5 6 5 5 5 6 6 6 6 5 5 4 3 2 2 3 2 3 4 4 5 5 4 4 4 5 5 5 5 4 5 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 7 9 16 24 26 19 16 20 20 13 9 7 7 9 8 6 5 4 5 6 6 6 7 8 8 9 10 9 8 7 7 6 6 6 5 5 4 5 7 7 4 3 4 6 12 19 22 17 9 5 3 3 2 3 4 4 4 4 5 6 6 5 4 4 5 7 8 9 8 6 5 4 4 5 7 7 8 8 8 7 4 2 2 3 4 5 5 5 5 4 4 4 4 4 4 3 3 3 5 6 8 9 10 10 10 9 7 5 5 4 4 3 3 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 8 8 8 7 7 6 6 5 5 4 4 3 2 2 3 4 5 6 6 6 6 7 8 6 4 4 6 7 7 6 5 4 3 3 3 3 4 4 4 4 5 5 3 2 1 1 2 2 3 4 5 5 5 5 5 3 3 3 4 5 6 7 7 6 5 4 3 3 3 4 4 4 4 5 5 4 4 4 5 5 6 5 5 4 3 4 5 6 6 7 6 5 4 4 4 6 7 7 7 6 5 4 4 5 5 4 5 5 8 11 14 17 21 25 32 34 30 20 11 9 14 15 14 9 9 8 6 2 0 1 2 3 4 5 5 4 4 3 3 3 4 8 12 9 5 4 12 13 6 2 2 4 4 6 9 9 7 3 9 11 6 7 7 3 2 4 7 6 4 8 10 7 6 4 5 10 16 12 7 7 9 10 9 8 9 9 2 -0 12 12 4 1 5 14 18 17 10 3 3 -1 -5 -7 -6 7 13 10 6 7 8 5 4 7 7 14 25 29 19 9 6 6 8 8 8 7 8 7 5 4 4 4 4 4 5 10 22 28 16 4 3 4 4 5 6 6 6 5 5 5 5 5 5 4 4 4 4 5 4 4 4 3 3 4 4 5 6 6 6 6 5 5 5 6 6 6 5 4 4 4 3 2 2 2 3 4 4 4 4 4 3 3 4 5 5 5 5 5 6 6 5 5 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 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 6 6 7 10 14 20 24 20 15 17 21 15 8 6 7 8 9 8 5 1 -0 3 5 5 6 6 7 7 9 13 13 11 10 10 9 9 8 8 8 8 8 8 9 5 3 4 4 6 10 14 14 11 7 4 2 2 2 3 4 4 4 5 6 6 6 5 4 4 5 7 8 8 7 5 4 4 4 6 7 7 8 8 7 5 4 3 3 3 4 5 5 4 4 4 4 4 4 4 3 3 2 2 3 4 6 8 10 11 12 12 11 8 6 4 3 3 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 8 9 9 9 9 9 8 7 6 6 5 5 4 3 3 4 5 6 6 6 7 9 10 7 4 4 6 8 8 7 7 6 4 3 4 3 3 3 3 4 4 3 3 3 2 3 4 4 5 6 5 5 5 5 4 3 3 3 4 5 6 6 7 6 5 4 3 2 3 3 4 4 5 5 4 4 4 4 5 6 6 6 5 4 3 3 4 5 6 6 6 4 3 3 3 4 6 6 6 6 5 3 4 5 5 4 5 8 13 18 21 24 26 28 29 27 23 18 9 3 8 19 24 23 19 9 3 1 1 2 2 4 5 6 6 5 4 3 3 4 8 13 16 12 4 3 10 12 8 4 1 2 3 5 8 8 8 8 9 4 3 6 4 1 2 4 6 5 6 7 6 4 4 3 4 7 9 6 5 6 6 10 10 11 12 9 2 5 12 10 6 -2 7 13 17 13 4 4 6 3 4 11 14 13 6 6 9 8 2 5 8 12 12 20 24 20 12 7 6 6 8 8 8 8 7 6 4 2 3 5 5 5 6 13 23 24 12 4 4 4 5 5 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 4 4 3 2 4 5 6 6 6 6 6 5 5 5 5 6 5 4 3 3 3 2 3 3 3 4 4 5 4 4 3 3 4 4 4 5 5 5 6 6 7 7 6 5 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 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 8 14 21 22 17 11 11 15 16 9 5 6 8 9 8 7 5 -0 -4 0 4 4 4 4 5 6 8 12 16 14 14 14 14 13 11 11 11 11 11 10 8 6 5 6 6 5 6 8 9 10 9 8 5 3 2 3 3 3 4 5 5 5 6 6 5 4 4 5 7 8 8 6 4 3 4 5 6 7 7 8 7 6 5 4 3 3 4 4 5 4 4 4 4 4 4 4 3 3 3 2 1 2 3 4 6 8 11 13 15 14 12 8 5 3 3 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 7 7 8 9 9 10 9 9 9 8 8 8 7 6 5 4 5 5 7 7 8 10 11 9 6 5 6 8 9 8 7 7 6 5 4 4 4 4 4 4 3 3 3 3 3 4 5 5 7 6 6 5 4 4 4 3 3 4 3 4 6 6 6 5 5 4 3 3 3 3 3 4 5 5 4 4 4 4 6 7 6 5 4 4 3 3 4 4 5 6 6 4 3 3 3 3 4 5 5 6 5 3 3 5 5 6 10 16 22 25 23 21 17 15 14 15 20 23 18 9 6 13 19 20 15 7 2 1 2 2 3 4 5 6 6 6 5 4 6 11 15 17 16 10 3 4 10 9 8 6 2 1 2 4 8 8 4 3 2 3 7 5 1 0 2 4 4 2 3 3 1 0 1 3 5 7 6 5 4 3 4 7 10 13 14 10 5 5 6 11 11 2 6 1 7 11 4 7 11 13 17 17 16 13 4 -2 6 11 4 5 11 13 13 17 15 10 7 6 7 8 7 8 8 7 6 5 4 4 5 5 6 5 6 12 21 21 9 3 4 5 5 5 6 6 6 6 5 5 5 5 4 5 5 4 5 5 5 5 4 3 2 2 4 6 6 6 5 5 5 5 5 5 5 5 4 3 2 2 3 3 4 4 5 6 5 4 4 3 3 3 4 4 4 5 5 5 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 10 16 24 20 10 6 9 13 13 8 7 9 13 12 8 6 5 2 -1 1 3 4 4 4 4 4 5 7 11 14 15 15 15 15 13 12 12 12 11 10 8 7 7 8 7 6 5 6 7 8 10 11 9 8 6 4 3 3 3 4 5 5 6 6 6 5 4 4 6 7 7 6 5 4 4 5 6 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 2 1 1 2 3 5 7 9 12 15 15 13 10 7 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 5 6 7 7 8 9 9 10 11 11 10 9 7 6 5 5 6 7 9 11 12 10 7 6 7 8 8 8 7 7 6 6 6 6 6 5 6 5 5 4 3 3 3 4 5 6 6 6 5 5 4 4 4 3 4 3 4 5 5 5 5 5 5 4 3 4 3 4 4 4 4 4 4 4 3 5 6 7 6 5 4 4 3 4 3 4 5 5 5 4 4 3 3 3 4 4 4 4 3 3 3 4 6 12 20 25 25 21 13 7 4 4 6 10 18 23 21 17 12 9 8 10 8 4 2 2 2 2 2 4 5 6 6 5 5 7 10 14 16 14 11 7 6 9 12 9 9 9 5 1 -2 -0 5 3 -0 2 4 5 5 4 4 4 3 6 3 1 1 -0 -0 1 0 3 8 8 7 6 3 2 4 7 11 12 13 9 6 6 7 10 10 10 10 2 2 4 3 6 11 19 24 21 13 4 -1 2 7 8 7 7 10 16 19 16 11 6 5 7 8 8 7 7 7 6 5 5 5 6 6 6 6 5 6 10 19 20 9 3 4 5 5 5 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 4 3 2 2 3 4 5 5 4 4 5 5 5 5 5 4 3 2 2 2 3 3 4 6 7 7 6 5 3 3 3 3 3 3 4 4 4 5 6 6 6 6 5 4 4 4 4 4 3 3 4 3 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 6 7 11 15 16 21 20 9 7 10 12 11 8 9 14 16 15 11 8 6 5 4 3 3 4 4 4 4 4 4 4 6 7 10 11 11 12 11 9 10 10 9 9 8 8 9 9 8 7 6 6 7 7 9 11 13 14 11 7 5 3 3 4 5 5 6 6 6 6 5 5 5 5 6 6 6 5 4 4 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 2 2 1 1 3 4 5 7 10 13 13 13 12 9 7 6 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 4 4 5 5 6 6 8 9 11 12 11 10 8 7 5 5 6 7 9 11 12 10 7 6 6 7 8 8 6 6 7 7 7 7 7 8 7 7 7 7 5 4 4 4 4 5 6 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 4 6 7 7 6 5 4 4 4 4 3 3 4 5 5 4 4 4 4 4 4 4 4 4 3 2 1 4 12 22 25 22 16 9 2 -0 2 4 6 8 14 15 12 15 14 9 5 5 4 2 1 1 1 2 3 4 5 5 5 6 8 11 13 12 11 9 6 3 6 11 9 10 16 15 7 -0 -2 3 7 3 3 6 6 3 0 3 6 7 5 9 7 3 2 3 3 2 3 6 8 9 10 10 6 4 4 9 11 11 11 8 6 10 11 7 5 10 9 7 2 -5 -0 7 12 17 17 13 9 5 7 11 13 8 7 8 18 27 26 18 12 7 6 8 8 7 6 6 7 6 5 5 6 6 6 6 5 4 4 9 17 21 11 4 5 6 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 4 3 2 3 3 3 3 4 4 5 5 5 5 4 3 2 2 2 2 3 4 6 7 8 7 6 4 4 4 3 3 3 3 4 4 4 4 5 5 5 6 5 5 4 4 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 6 9 17 23 18 15 17 11 9 13 12 9 7 9 10 10 12 13 10 8 6 5 3 4 4 4 4 4 4 4 4 4 4 4 6 6 6 7 7 8 8 8 8 8 8 9 9 8 8 8 7 7 8 9 12 15 17 16 13 8 4 3 4 5 5 5 5 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 5 5 6 5 5 4 3 3 3 3 4 3 3 3 4 3 3 3 3 3 2 2 2 2 2 3 4 6 8 10 11 13 12 9 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 5 5 5 5 5 6 7 8 8 7 6 5 7 9 10 9 7 7 7 6 6 7 10 11 12 12 10 8 7 6 7 7 7 7 7 7 8 9 9 9 9 9 10 12 13 13 10 8 7 6 5 5 5 5 5 5 4 4 5 6 5 4 3 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 4 6 7 6 5 5 5 5 4 3 2 2 3 4 5 4 4 4 5 5 5 5 5 4 3 4 11 26 29 15 5 3 3 3 4 5 6 12 17 14 5 -2 -7 -8 3 6 1 -4 -6 -5 -1 2 5 7 6 5 5 6 8 11 13 12 9 8 9 11 10 7 4 1 1 10 16 14 6 2 7 12 10 3 2 4 3 4 4 3 4 7 9 10 8 0 1 4 3 4 5 5 7 11 18 18 10 6 5 4 4 -2 -3 1 5 10 12 9 6 2 3 8 6 5 3 -0 3 1 -5 -2 7 13 15 16 17 18 20 22 32 35 23 12 9 9 8 5 6 7 6 5 7 6 5 6 7 7 6 6 5 4 5 14 21 18 8 5 6 6 6 5 6 6 6 7 6 5 5 4 4 4 4 4 5 5 5 5 6 6 5 5 5 4 4 4 4 5 5 5 5 4 3 3 3 2 3 3 4 5 6 6 4 3 3 4 4 4 3 3 2 3 4 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 6 8 16 26 22 9 9 13 16 17 14 10 6 4 1 -4 -6 -2 5 7 7 7 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 10 12 14 16 16 15 14 11 8 6 6 5 5 5 5 5 6 6 6 5 4 4 5 6 6 6 5 4 3 2 3 3 4 4 5 5 4 3 3 3 4 5 5 4 5 5 5 5 4 4 4 4 4 3 3 3 2 1 1 2 3 3 3 4 5 6 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 4 4 5 6 7 10 11 11 8 6 6 7 8 8 7 6 7 6 6 6 8 10 12 12 11 10 8 6 7 7 7 6 6 7 8 8 8 8 8 8 8 10 11 13 12 11 10 8 7 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 5 6 7 5 5 5 6 5 4 3 2 2 3 4 4 4 4 4 5 5 5 5 4 5 11 21 23 13 2 1 3 3 3 4 3 9 20 26 22 10 0 -6 -10 -6 -1 -5 -9 -9 -4 2 5 7 7 5 5 6 8 10 11 10 8 7 9 10 11 11 9 9 9 5 2 2 5 5 4 5 11 11 3 4 7 5 3 3 4 3 4 9 6 5 3 4 5 4 3 3 2 4 12 18 14 7 5 6 3 3 1 1 2 3 3 6 9 9 8 11 13 5 3 4 9 13 6 -2 -0 5 9 12 19 25 26 23 21 22 18 12 9 9 8 6 5 7 8 5 6 7 7 7 7 7 6 6 6 5 4 5 11 16 12 6 5 6 6 6 5 6 6 7 6 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 5 6 5 4 3 4 4 5 4 3 2 2 3 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 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 5 4 4 5 4 4 4 4 4 5 5 5 9 20 26 15 6 11 16 18 15 12 9 6 4 3 1 0 2 5 6 7 6 5 5 5 5 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 6 6 6 7 7 8 8 8 8 8 9 9 10 11 13 14 15 16 14 12 10 8 6 5 4 5 6 6 6 5 4 3 4 5 5 6 6 5 4 3 2 2 3 3 4 5 4 4 4 4 5 6 6 5 6 5 6 6 6 6 6 5 5 4 4 3 3 2 1 1 2 2 2 3 3 3 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 7 8 8 7 5 5 6 8 12 14 13 10 7 6 6 5 4 4 5 6 5 5 5 6 8 9 11 11 10 8 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 10 9 8 7 6 5 4 4 5 6 6 7 7 7 6 6 6 7 7 7 7 7 7 6 4 2 2 2 3 5 6 7 7 5 5 5 4 3 2 3 3 3 3 3 4 5 5 5 4 5 11 18 20 13 5 2 -1 -0 4 7 7 3 3 18 19 26 27 9 -1 -5 -12 -17 -13 -6 -1 2 7 10 9 6 5 4 6 10 12 13 14 14 10 6 5 6 10 11 11 13 14 8 3 6 5 6 10 12 6 -0 3 4 4 5 6 7 8 6 5 6 3 1 4 2 2 7 11 11 11 12 14 14 10 7 4 4 7 6 9 8 9 12 6 5 6 7 9 8 -0 -5 3 7 12 12 7 7 8 8 10 17 19 16 13 11 9 8 8 9 8 5 4 5 5 4 3 6 9 10 8 6 5 5 5 5 5 4 5 5 6 8 15 17 10 5 5 6 6 7 6 6 5 5 5 4 3 4 5 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 4 5 6 6 6 5 5 5 5 5 5 5 4 3 4 4 4 5 5 5 6 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 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 3 3 4 4 4 5 9 22 22 10 7 12 14 11 6 6 8 9 8 6 5 5 6 6 3 1 4 7 7 6 5 5 4 4 3 4 3 3 4 4 4 4 5 4 4 5 4 4 4 4 4 5 5 6 6 7 6 6 6 6 6 6 6 7 8 8 9 10 11 14 15 15 14 12 10 7 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 5 4 4 4 5 5 5 5 4 5 6 6 6 6 6 6 7 7 7 8 8 7 7 6 5 5 4 4 3 3 3 4 5 5 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 6 5 6 6 7 8 8 8 8 9 8 9 10 10 10 11 11 10 8 5 5 5 5 5 5 4 4 4 4 5 5 5 4 3 3 4 5 6 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 6 6 7 8 7 7 6 6 5 5 5 5 5 5 5 4 5 5 5 4 6 10 14 14 10 6 4 4 4 5 5 5 5 5 5 4 5 6 7 5 0 -4 -4 -5 -5 6 13 10 9 6 6 8 6 0 6 14 14 9 -0 3 8 11 10 10 11 14 18 16 11 14 21 21 17 12 6 3 7 10 11 10 7 3 3 6 6 8 10 14 9 5 3 -0 -1 1 5 7 5 3 3 6 7 4 4 10 12 13 15 18 17 17 19 19 14 9 9 13 16 19 18 16 15 13 9 8 10 9 3 3 7 5 7 17 17 12 7 6 5 3 -0 2 3 5 7 11 13 9 6 5 4 3 4 7 8 7 4 3 2 2 6 10 11 11 10 9 9 8 6 5 5 4 4 4 5 4 5 13 17 13 8 5 4 5 6 6 5 5 5 5 4 5 5 6 7 6 7 7 7 6 6 6 5 6 6 6 6 5 5 4 3 3 3 2 2 3 4 7 11 12 12 10 8 6 5 4 4 4 4 4 3 3 3 3 4 6 6 6 6 6 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 6 14 16 10 12 14 10 8 7 5 4 6 8 8 7 6 5 5 5 6 7 6 5 6 6 6 6 7 7 7 6 4 4 3 4 3 3 3 3 3 4 5 5 5 5 5 5 6 5 5 6 5 5 6 6 5 5 4 3 3 4 4 6 7 8 10 10 11 12 12 13 13 13 11 10 9 8 7 6 6 6 6 5 5 4 4 5 6 6 7 7 5 5 6 5 6 5 5 5 5 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 4 5 6 7 8 9 8 7 8 10 10 11 13 13 11 8 6 6 6 5 6 5 5 5 4 4 3 3 3 3 3 4 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 6 7 8 9 8 6 5 5 5 4 4 4 5 5 5 4 5 6 7 6 6 10 14 14 8 5 3 3 5 5 6 7 7 6 4 3 7 10 7 3 1 -0 -0 0 2 8 11 8 5 5 8 10 9 5 8 20 31 30 18 15 14 10 6 7 10 15 17 13 8 11 15 15 15 11 6 4 7 9 10 9 6 4 4 6 5 3 6 11 11 9 5 1 3 3 5 7 6 5 5 8 6 3 7 11 11 11 14 15 14 13 16 18 14 10 12 14 16 14 11 11 13 12 9 9 14 18 13 9 8 3 3 11 4 0 4 5 4 1 1 5 7 12 14 15 15 9 6 5 3 2 3 6 6 4 3 3 3 4 8 10 10 9 9 9 9 8 7 6 5 4 4 4 4 5 8 9 8 9 12 9 5 5 5 4 4 4 4 4 4 5 6 7 7 8 7 8 8 7 7 6 6 6 6 6 6 5 4 3 3 2 2 3 3 4 4 7 11 12 11 9 7 6 5 5 4 5 5 4 4 4 3 4 5 6 7 6 7 6 5 4 4 4 3 3 3 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 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 13 17 14 14 12 9 8 8 8 8 7 7 8 7 6 5 6 5 5 5 6 6 6 5 6 6 7 7 7 7 6 5 4 4 4 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 5 4 3 3 4 6 7 8 9 10 11 12 12 12 13 13 12 12 12 12 11 9 7 6 6 5 4 4 5 5 6 7 7 6 6 5 5 6 6 6 5 5 5 6 6 6 7 6 7 7 7 6 7 6 5 4 4 4 5 5 6 7 7 6 5 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 5 4 4 4 5 8 9 8 7 8 10 10 11 12 14 13 10 8 7 6 6 6 6 6 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 6 7 6 6 6 5 5 4 4 5 5 5 5 5 6 8 10 10 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 11 14 14 8 4 3 4 5 6 7 7 7 5 4 3 3 1 -1 1 2 2 2 2 3 5 9 8 3 8 14 16 13 10 12 14 15 17 16 13 7 1 0 5 11 17 17 12 8 8 8 9 12 10 5 4 6 9 11 9 7 7 7 7 5 1 4 8 11 9 6 4 5 3 4 5 5 5 8 11 8 8 9 8 9 10 10 10 9 9 11 11 10 9 10 11 10 4 3 6 9 10 11 11 14 18 18 14 8 2 3 3 -3 -0 5 5 2 -1 2 6 8 11 13 14 12 8 6 6 4 4 5 5 4 4 5 5 5 7 9 9 9 9 8 8 8 8 7 7 5 4 4 5 5 5 7 6 6 9 11 9 10 10 5 3 4 4 4 4 5 5 7 8 9 9 8 8 7 7 7 6 6 6 6 6 5 5 4 3 2 2 2 4 6 5 5 6 9 10 9 7 6 6 5 5 5 6 6 6 5 4 4 4 5 6 7 7 7 6 5 4 4 3 3 3 3 3 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 3 4 4 4 5 5 6 13 20 19 14 10 8 9 9 10 10 7 7 8 7 6 5 7 6 4 4 5 6 6 6 6 7 7 7 7 7 7 7 6 5 5 5 4 3 3 3 3 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 4 3 3 4 5 6 7 8 9 11 12 13 13 13 13 14 16 18 19 16 11 6 5 5 5 5 5 5 6 7 7 6 6 5 5 5 6 7 6 5 5 5 5 6 6 6 7 8 9 8 7 6 5 3 3 4 4 4 6 7 8 7 6 6 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 7 7 5 5 6 9 10 8 6 7 9 10 10 10 12 12 11 8 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 6 6 6 6 7 6 5 5 5 4 4 5 5 5 5 4 6 8 10 11 11 9 8 8 8 9 9 8 8 7 7 7 7 8 9 10 12 15 14 9 4 3 4 5 6 7 7 6 5 4 3 -1 -5 -3 1 3 3 4 3 3 7 11 7 2 12 25 26 19 17 20 16 8 5 8 4 -3 -6 -0 7 14 20 20 14 9 6 6 9 12 9 3 3 5 9 12 11 9 10 8 6 4 0 3 8 12 7 3 4 5 5 6 7 4 2 5 9 10 8 5 6 7 9 9 6 5 6 8 5 6 8 8 7 3 -3 -1 5 6 7 8 9 9 8 10 10 6 2 3 4 8 8 7 2 -2 -0 4 6 6 7 7 8 8 8 7 8 9 7 6 5 5 6 7 6 7 8 8 8 9 8 6 6 7 7 7 7 6 5 5 6 6 5 5 5 5 6 7 9 16 14 5 3 4 4 4 4 5 6 8 9 10 10 9 7 6 6 6 7 7 6 6 6 5 4 3 3 2 2 3 6 8 7 5 5 7 9 8 6 6 6 6 6 6 6 6 7 6 6 5 5 6 6 7 7 7 6 5 5 4 3 4 3 3 4 4 4 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 3 4 3 4 4 4 3 4 4 4 4 4 4 4 5 5 5 7 13 19 17 11 8 8 9 9 10 10 8 7 7 6 5 5 5 3 3 4 5 6 6 6 6 7 7 8 8 8 7 7 6 6 6 5 5 4 4 4 3 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 7 5 3 3 4 4 5 5 6 6 8 10 12 13 13 14 14 15 19 23 23 16 9 5 5 6 6 5 5 6 7 6 6 5 5 4 5 5 6 6 5 5 5 5 5 6 5 6 8 11 11 8 7 6 5 5 4 5 5 6 7 8 7 7 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 8 7 6 8 11 12 11 7 6 7 8 9 9 10 10 9 8 7 6 6 7 7 7 6 6 5 5 5 6 5 5 5 5 5 5 5 5 6 6 7 8 8 8 7 6 6 6 6 6 5 4 4 4 4 4 5 4 4 5 6 7 10 11 11 10 9 9 10 10 11 10 9 8 8 7 8 10 11 12 14 16 15 11 6 4 4 5 6 7 7 5 4 3 3 2 1 3 4 4 5 5 4 4 7 9 3 0 12 29 37 34 29 25 19 11 5 1 -4 -7 -4 3 11 19 24 23 15 7 4 5 10 15 10 5 5 6 8 11 11 10 11 8 6 4 0 3 8 10 5 1 3 4 6 10 10 6 4 4 4 7 6 6 8 7 10 9 7 6 6 7 5 7 10 8 7 4 2 5 7 6 4 3 6 10 11 8 4 1 1 8 15 18 9 2 -2 -2 4 6 6 8 7 5 7 9 6 7 10 10 9 7 6 7 8 7 7 7 7 7 7 7 6 5 5 6 6 6 6 6 5 7 7 5 4 3 4 5 5 7 10 15 12 4 8 11 6 3 4 5 6 7 8 9 9 8 7 6 6 6 7 7 7 6 5 4 4 4 3 2 2 3 7 11 9 6 5 6 8 7 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 7 5 5 4 4 4 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 10 16 14 9 7 8 9 8 9 9 7 7 6 6 5 5 4 -2 -1 4 5 5 5 6 7 7 7 8 8 9 8 7 7 7 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 6 5 6 6 6 6 6 7 8 8 6 5 4 4 4 4 5 5 5 5 6 8 10 11 13 13 14 16 19 22 19 13 8 6 6 5 5 5 6 6 7 7 6 4 4 4 5 5 5 5 5 5 5 5 5 5 5 8 10 10 9 7 7 7 7 6 6 7 7 7 7 6 7 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 10 11 13 16 17 17 17 16 15 13 8 11 19 16 10 9 9 4 1 5 9 12 14 15 14 13 11 10 10 10 11 12 11 10 10 10 13 16 16 14 14 14 14 14 12 13 14 13 13 14 15 15 14 14 14 13 12 13 13 11 9 7 7 7 7 5 5 6 9 11 13 17 20 17 14 11 10 10 10 11 10 9 8 5 5 6 7 9 10 11 11 10 10 11 12 12 11 12 14 16 16 15 14 15 17 17 16 14 12 11 11 11 12 13 13 12 11 10 10 10 10 10 10 11 12 14 16 14 11 10 12 12 13 14 14 12 11 13 14 14 14 14 15 15 16 14 11 12 14 15 16 17 18 17 16 15 14 13 12 12 12 11 12 12 11 11 11 11 11 10 9 10 12 14 15 13 12 10 7 6 8 12 15 14 14 15 16 17 18 18 19 20 20 19 18 17 15 12 10 9 13 16 18 18 18 15 12 12 12 12 12 12 13 13 13 14 14 14 15 17 19 20 21 20 19 18 18 16 16 16 17 18 17 16 15 16 17 17 16 16 17 19 19 18 17 15 14 14 13 13 13 12 12 12 12 11 11 12 13 13 13 13 13 13 13 12 11 10 10 10 11 12 12 12 12 13 13 12 12 12 12 11 10 10 11 11 11 11 10 9 9 9 9 9 10 12 12 14 14 11 7 6 5 5 7 8 9 8 6 7 8 9 10 11 11 12 12 11 11 11 11 11 12 12 13 13 13 13 12 10 11 12 12 12 13 12 11 11 11 11 10 10 10 10 11 11 12 12 13 13 13 14 14 14 13 14 14 13 13 15 16 15 13 13 17 17 13 10 7 4 3 6 8 10 11 11 12 13 15 16 15 15 14 14 15 17 20 24 24 21 18 17 16 15 14 14 14 16 18 19 22 22 21 18 16 13 12 12 12 11 11 9 9 9 8 8 8 9 9 9 10 11 12 11 10 9 10 12 12 13 12 12 11 12 14 14 14 14 14 13 14 15 19 22 21 15 9 10 12 14 13 12 12 13 14 14 13 12 13 15 15 15 15 16 16 17 17 16 17 16 15 13 12 11 11 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 8 3 0 12 20 20 16 16 13 10 6 5 7 9 12 13 13 13 12 11 11 12 12 11 10 8 8 10 15 18 17 15 15 15 15 14 12 12 11 11 12 14 16 17 16 15 16 16 16 15 14 12 10 9 8 8 8 6 4 4 7 11 16 19 19 16 13 12 12 12 11 11 13 12 10 7 5 5 7 9 10 11 10 10 10 11 12 12 12 13 14 15 15 14 13 14 16 16 15 13 11 11 12 13 14 14 13 12 10 9 11 11 10 11 11 12 12 13 14 13 13 11 11 12 15 16 16 13 11 11 13 14 14 14 14 14 15 13 14 15 15 17 18 19 18 16 15 14 14 13 12 12 11 11 11 11 11 12 11 11 11 11 10 11 12 13 13 13 12 10 8 5 5 9 13 15 16 16 17 18 19 19 19 21 21 21 21 19 16 14 12 11 12 14 14 14 15 14 12 11 12 13 14 14 14 14 14 14 14 14 16 18 21 22 22 23 22 19 17 16 16 16 17 18 18 17 16 16 16 16 14 13 11 10 11 13 16 15 14 14 14 14 14 13 12 11 12 12 12 12 13 14 15 15 14 13 12 11 11 11 11 11 12 12 12 13 13 13 14 13 13 12 11 11 10 10 11 11 11 11 10 9 9 9 9 11 12 14 13 9 8 7 7 7 8 9 11 12 10 8 7 7 7 8 9 10 10 10 10 11 11 11 11 12 12 12 13 13 14 13 11 10 11 12 12 12 12 11 11 11 12 12 12 11 9 9 10 11 11 11 12 14 14 13 13 13 13 13 14 14 14 14 15 15 15 16 15 11 7 5 5 6 8 10 11 11 11 11 12 14 15 15 15 14 13 13 14 18 21 25 24 20 17 17 17 16 16 16 17 19 21 20 20 18 16 14 13 12 11 12 14 14 13 12 11 10 9 9 9 9 9 9 10 12 11 10 9 8 11 13 14 14 13 12 12 11 12 14 15 15 15 14 15 16 19 21 18 12 8 10 13 13 12 12 13 14 13 12 13 14 14 15 14 14 15 15 15 17 17 17 17 15 14 13 13 12 12 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 19 16 12 10 7 6 8 10 10 10 9 9 10 12 13 12 12 10 8 8 10 14 19 18 16 13 13 14 14 13 11 8 8 10 12 13 15 15 16 15 16 17 18 19 17 14 12 10 10 10 9 6 5 5 8 15 20 20 17 13 12 12 12 12 12 12 12 13 13 10 7 6 6 8 11 10 9 9 10 11 13 13 13 14 14 14 14 14 13 13 13 13 12 12 12 12 14 14 15 14 12 10 10 12 13 12 12 12 12 12 11 11 11 13 14 14 14 15 17 16 13 13 12 11 13 14 13 13 13 14 14 14 15 18 19 20 19 19 17 15 14 14 14 14 13 12 11 11 11 11 11 12 11 11 11 11 11 12 13 12 12 13 12 12 11 8 5 6 6 8 12 20 24 22 21 20 20 21 22 22 22 22 20 17 15 14 13 13 12 12 13 14 13 12 12 14 14 15 16 15 16 15 15 17 19 21 23 23 23 23 21 19 18 17 17 17 16 15 16 15 15 14 13 13 14 13 11 9 11 12 14 15 15 15 15 14 14 14 13 13 13 13 12 13 14 15 15 16 15 14 13 13 12 13 13 13 14 14 13 14 14 13 14 13 12 12 11 11 10 11 11 10 10 10 9 9 11 11 12 13 14 13 10 5 4 6 8 10 11 12 12 12 11 9 7 6 6 8 8 8 8 8 8 9 10 11 11 11 12 12 12 13 13 13 12 11 12 12 12 11 11 11 11 11 12 12 11 10 10 9 10 10 11 12 13 14 13 13 14 14 13 13 14 13 14 15 16 17 17 16 13 10 9 9 11 13 13 13 11 10 12 13 13 14 15 15 14 13 14 14 16 18 21 23 22 18 16 16 17 17 18 19 19 20 21 19 16 15 13 13 12 12 11 12 14 15 15 13 11 9 9 10 10 10 10 10 10 11 10 9 8 10 13 15 15 13 12 12 11 11 12 13 14 14 15 16 16 16 17 21 18 11 10 10 10 10 11 12 12 12 11 12 14 15 16 15 14 14 14 14 15 16 16 16 16 15 14 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 12 12 12 12 12 10 9 9 7 7 9 12 17 19 17 13 11 10 11 12 11 10 8 7 8 10 12 13 13 13 13 14 15 17 19 20 18 14 10 9 9 8 5 5 8 12 19 21 18 15 13 12 11 12 11 10 9 11 13 14 12 9 7 7 8 8 9 9 9 11 13 13 15 16 15 15 14 13 13 12 13 12 11 12 12 12 12 14 15 15 14 12 12 11 12 14 15 14 12 10 10 10 10 12 13 12 13 15 16 15 14 12 12 13 13 13 13 13 13 13 14 16 18 19 20 20 20 19 16 15 14 14 14 14 14 13 12 12 12 11 11 12 11 11 12 11 11 12 12 13 13 13 13 13 13 13 11 8 5 2 -0 3 19 30 27 24 22 22 22 23 23 23 24 23 21 18 16 15 14 13 12 13 15 15 15 15 16 17 18 18 18 18 17 18 19 20 21 22 22 21 19 17 16 16 15 15 15 15 14 15 15 15 14 13 13 14 14 15 14 12 11 11 11 12 13 13 14 14 14 14 15 14 14 14 14 14 15 15 15 15 15 14 13 14 15 15 16 16 15 15 14 13 13 12 12 12 11 11 10 10 11 11 11 11 11 12 13 14 15 15 13 10 8 7 7 8 10 10 10 12 13 13 12 11 10 9 7 7 8 8 7 7 7 8 10 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 11 10 9 9 11 11 10 9 9 10 11 11 11 11 12 13 14 14 14 14 14 14 14 14 14 16 19 18 16 14 12 12 12 11 12 15 14 12 10 10 11 13 14 14 15 15 15 14 14 15 15 16 19 23 24 21 17 16 16 16 17 18 19 19 19 20 18 14 13 12 12 12 13 13 13 13 14 14 13 11 8 9 9 9 11 11 11 11 12 10 8 9 11 14 15 14 12 11 11 12 12 12 13 14 14 15 16 17 17 17 19 18 15 12 9 9 10 12 14 13 11 10 11 13 14 14 15 15 14 13 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 9 12 14 17 16 14 12 11 11 11 11 11 9 8 6 7 10 11 12 12 12 12 11 11 15 19 20 20 15 11 8 7 5 3 4 9 16 22 20 17 14 13 12 12 10 9 9 9 11 14 15 14 11 9 8 7 8 10 12 13 14 15 15 16 16 15 15 14 12 10 10 10 11 11 11 11 13 13 14 14 14 13 13 13 11 13 15 15 16 14 10 9 10 13 15 14 12 12 14 15 14 14 13 11 11 12 13 13 13 14 14 16 18 20 22 21 20 18 17 15 14 14 14 14 14 14 13 12 12 12 12 12 12 11 12 12 11 11 12 12 13 13 13 14 13 13 13 12 11 8 1 -8 -9 10 31 35 33 28 25 23 23 24 26 26 24 22 20 17 16 15 14 14 15 17 18 19 21 22 22 22 21 20 20 20 20 19 19 19 20 20 18 16 15 13 13 14 14 14 14 13 13 13 13 12 12 11 11 11 11 11 10 10 9 9 9 11 13 14 15 15 15 15 15 16 16 16 15 14 14 14 14 14 14 15 15 16 16 16 16 16 14 13 13 12 11 11 12 11 12 12 13 14 15 16 16 17 18 19 18 17 14 11 8 7 8 9 10 11 11 12 12 13 12 12 11 10 10 9 9 10 10 9 9 8 9 11 11 10 10 11 12 11 11 11 11 11 13 14 14 13 12 11 11 9 8 9 9 9 10 10 11 12 11 11 11 12 13 14 15 15 15 15 15 15 14 14 16 18 15 11 8 8 11 11 12 12 13 13 11 9 10 12 14 14 14 14 14 14 14 14 15 15 17 22 25 25 23 18 16 16 16 16 17 18 19 18 17 15 13 11 11 13 13 14 14 13 12 12 12 12 11 11 10 9 10 10 11 11 11 11 11 10 11 12 13 13 12 11 11 12 13 12 12 14 14 14 15 14 14 15 16 18 19 16 13 11 11 11 12 14 13 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 5 5 4 4 5 6 6 6 8 9 9 10 11 11 12 13 13 13 13 14 16 16 16 16 17 17 15 14 13 12 12 11 10 10 10 10 10 10 10 10 10 9 8 7 7 7 6 6 7 7 7 7 7 8 9 10 10 9 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 1 6 12 16 17 19 22 21 16 9 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 23 40 45 42 40 28 11 3 0 0 0 0 0 2 5 4 1 0 0 0 0 0 0 1 5 15 30 46 62 76 86 94 105 122 138 144 144 143 151 159 156 143 119 88 64 44 37 42 48 46 37 28 16 5 13 19 13 8 8 7 3 7 14 25 34 28 20 24 35 45 60 76 84 90 94 94 88 77 62 51 54 59 57 62 88 118 137 152 161 157 148 142 131 113 94 75 55 45 44 43 51 53 39 23 28 27 10 1 0 0 12 50 93 114 132 147 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 5 5 6 6 6 6 6 7 8 9 10 11 11 11 11 12 13 14 15 14 14 14 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 9 8 7 6 6 6 6 5 5 5 5 5 5 6 6 7 8 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 11 14 15 12 9 9 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 18 20 17 8 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 7 22 42 57 71 81 82 80 96 125 142 139 133 133 136 140 139 132 118 98 75 51 41 40 43 44 29 11 2 1 3 13 8 9 9 7 1 2 7 12 13 9 4 6 13 29 39 58 80 93 98 96 89 80 73 68 69 74 83 100 117 125 138 156 171 172 165 161 154 144 134 115 101 106 104 81 61 55 41 29 35 28 10 2 0 0 0 22 64 91 110 126 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 5 5 5 5 6 6 6 6 6 6 6 7 8 9 9 9 10 11 12 13 14 14 13 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 5 4 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 6 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 28 47 67 82 91 91 73 59 83 124 134 125 121 122 116 112 114 114 115 113 103 79 56 50 55 61 57 44 39 32 20 28 27 30 27 14 3 4 9 11 9 4 2 2 8 27 38 50 74 96 108 104 91 80 73 74 84 93 99 110 119 125 130 141 156 170 173 171 166 159 157 143 126 127 135 121 97 85 77 74 64 41 18 5 1 0 3 23 56 78 93 112 118 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 2 3 4 5 5 5 6 6 6 6 6 6 6 6 7 7 8 9 10 11 11 12 13 13 12 12 12 11 11 11 12 12 12 11 11 10 9 8 7 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 2 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 38 55 73 92 106 108 89 47 29 58 96 95 91 98 102 90 82 81 86 97 105 109 101 81 66 61 60 64 68 70 62 46 43 48 46 37 25 12 7 12 15 9 2 4 23 50 66 73 72 84 106 118 112 94 77 69 74 94 104 105 110 120 125 125 127 140 158 168 168 161 155 158 153 138 130 132 130 122 111 106 104 88 60 32 13 4 1 13 40 68 81 88 107 117 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 3 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 8 9 10 10 11 12 12 11 11 11 11 11 11 11 11 10 10 8 7 6 6 6 5 5 4 4 4 4 4 4 4 3 3 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 4 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 0 0 0 0 0 3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 48 68 88 102 104 96 61 17 7 25 40 35 40 51 61 63 59 56 60 69 76 85 91 91 86 75 62 55 57 62 58 44 37 43 48 38 26 27 19 26 45 48 21 10 46 95 108 103 92 97 112 127 120 106 88 79 84 97 101 102 111 120 119 116 119 129 145 158 159 149 144 146 149 146 141 135 127 116 103 96 96 89 70 46 27 17 20 38 63 83 92 104 125 133 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 13 9 6 4 5 5 5 5 7 8 7 6 5 5 5 5 5 5 5 6 7 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 5 4 4 3 3 3 3 4 3 1 0 0 1 0 1 4 6 5 5 4 4 5 5 5 5 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 4 3 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 0 0 0 0 0 0 0 3 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 41 69 92 88 66 47 24 5 0 3 7 5 7 12 19 31 40 42 43 45 45 44 51 67 82 86 73 54 46 48 46 34 25 29 42 47 39 38 34 46 81 101 86 62 89 120 118 106 103 110 122 131 129 122 112 103 101 102 100 103 114 122 120 116 118 125 140 154 157 146 137 134 135 136 134 133 126 110 92 82 80 78 70 54 38 33 40 55 74 88 99 124 148 153 140 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 17 17 16 14 11 8 6 4 5 7 9 9 7 6 5 5 5 5 4 4 4 4 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 8 7 7 6 6 5 4 4 4 3 3 3 3 3 3 1 0 0 0 0 0 1 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 3 2 2 2 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 32 68 87 64 26 4 0 0 0 0 0 0 0 1 1 6 18 27 30 30 26 19 20 40 63 79 78 63 48 48 51 45 28 18 29 59 78 80 66 69 104 128 139 126 133 134 119 112 115 123 130 132 130 130 129 123 113 107 106 108 116 125 126 125 127 133 145 157 159 150 132 116 110 108 109 110 113 109 96 85 83 82 75 58 43 40 50 63 78 91 105 131 154 159 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 14 15 17 19 18 14 9 5 4 6 9 11 10 8 6 5 5 5 4 2 2 2 2 2 3 4 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 3 3 3 3 3 4 3 1 0 0 0 0 0 2 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 1 1 1 2 2 2 3 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 28 67 76 40 9 0 0 0 0 0 0 0 0 0 0 0 3 9 14 15 14 11 13 25 45 62 73 72 64 58 59 60 46 24 20 47 84 102 96 93 104 129 141 139 142 134 123 119 124 131 132 127 121 120 124 124 119 116 116 118 122 127 129 130 136 144 155 163 160 143 115 93 84 84 89 94 104 109 108 104 102 98 85 69 56 54 62 75 89 103 122 148 159 155 142 132 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 9 11 14 18 20 19 14 8 7 8 10 11 12 10 8 6 5 4 2 1 0 0 0 0 1 2 4 5 5 4 2 2 3 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 2 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 1 0 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 12 13 10 4 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 5 30 59 52 20 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 5 11 25 38 51 64 78 82 71 62 64 59 46 36 41 61 80 83 74 81 108 129 138 145 148 138 128 126 131 132 121 109 104 106 109 113 120 127 130 131 132 131 131 137 148 160 164 154 125 92 72 63 66 76 88 99 109 117 122 122 115 101 86 79 79 82 88 96 109 133 156 159 151 137 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 7 10 15 18 21 19 15 14 14 13 13 12 10 9 8 7 5 3 2 1 0 0 0 0 1 2 3 3 2 1 1 1 1 2 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 1 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 2 1 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 16 21 24 12 4 1 0 0 0 0 0 0 0 0 3 2 0 2 2 1 0 0 0 0 0 0 6 29 46 26 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 25 39 50 60 77 87 79 70 70 71 68 61 57 57 65 67 61 62 85 112 128 141 152 151 138 127 127 131 125 110 102 101 99 100 114 132 141 144 140 134 135 140 149 158 157 140 108 79 60 52 50 55 72 92 108 117 122 125 119 106 96 94 99 100 93 90 101 124 127 128 141 133 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 1 3 7 12 16 19 21 21 21 19 17 15 12 10 10 9 9 8 7 5 3 1 0 0 0 0 1 1 2 1 0 0 0 0 0 0 1 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 1 2 2 2 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 18 28 31 19 10 2 0 0 0 0 0 0 0 0 0 0 0 3 8 10 6 3 1 0 0 1 7 25 33 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 21 44 62 71 79 82 78 74 75 80 83 77 70 67 67 64 60 58 70 96 116 131 146 156 150 135 126 128 128 122 116 114 110 105 110 129 147 158 155 144 142 147 150 152 151 136 108 82 66 58 50 43 53 81 103 112 114 112 106 97 94 101 108 108 98 86 102 119 112 115 130 127 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 3 8 14 18 21 24 23 21 20 18 16 13 11 10 9 9 8 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 0 0 1 1 1 1 2 3 4 4 4 4 4 4 4 4 3 3 3 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 21 32 27 14 7 2 0 0 0 0 0 0 0 0 0 0 0 2 9 17 18 15 9 5 4 5 9 22 22 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 44 72 84 82 74 67 64 67 76 84 85 77 69 65 66 67 66 67 83 108 124 135 150 154 142 128 125 128 132 134 131 123 115 114 125 142 160 168 160 152 152 149 144 144 138 122 102 89 81 67 51 49 73 100 112 110 102 90 82 89 102 108 108 100 92 106 117 121 129 130 124 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 1 4 9 15 21 25 25 22 21 20 19 17 15 13 11 9 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 3 3 2 0 0 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 8 16 27 30 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 19 23 20 14 9 6 7 19 14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 36 69 86 80 64 50 47 51 61 74 83 85 81 75 74 78 75 68 73 100 118 129 145 153 144 133 126 127 135 141 138 125 111 108 116 128 147 163 169 167 161 151 138 132 131 127 116 106 97 83 64 58 77 106 118 113 99 78 66 77 93 105 109 106 103 102 97 101 116 121 114 97 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 1 4 10 18 24 26 24 23 21 20 18 17 16 14 12 10 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 0 0 0 0 0 1 3 4 4 4 4 4 4 3 3 3 3 1 0 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 12 16 22 26 21 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 15 16 13 8 4 4 16 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 28 58 80 77 58 42 36 39 47 61 78 90 93 90 89 90 82 68 67 85 101 120 140 151 148 142 135 131 134 139 137 123 107 101 108 118 130 144 159 172 172 161 140 121 115 114 110 103 97 86 75 75 91 113 125 120 103 80 60 58 72 96 114 121 119 103 80 70 82 94 94 80 63 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 2 4 6 12 18 24 26 25 24 20 18 17 17 17 16 13 10 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 1 3 4 4 4 4 4 3 3 4 3 2 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 18 24 24 20 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 2 0 0 1 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 22 44 68 74 60 44 34 34 41 51 69 89 100 98 97 97 84 65 64 75 85 102 126 142 146 145 142 136 133 136 136 125 111 106 109 116 121 126 135 155 174 172 149 122 106 98 95 95 93 89 87 90 102 120 132 130 114 88 59 45 52 77 108 132 137 120 91 69 65 72 77 67 45 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 2 4 6 7 10 15 21 24 26 25 21 18 17 18 17 16 13 10 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 3 3 3 3 3 2 1 0 0 0 0 1 2 4 4 4 4 4 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 6 6 5 2 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 28 49 65 66 51 34 32 38 46 63 86 98 98 98 98 84 66 65 73 78 90 110 125 130 133 135 133 132 136 137 126 114 112 116 121 121 117 113 125 153 168 155 128 107 97 93 94 95 95 98 104 113 126 136 134 123 102 72 50 48 66 96 128 145 140 118 92 73 68 70 58 36 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 3 6 7 8 10 14 18 23 27 26 22 19 18 17 17 15 11 7 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 3 2 1 0 0 0 0 0 2 4 4 4 4 4 4 3 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 5 7 9 11 13 15 15 14 8 4 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 1 2 2 5 20 33 47 58 54 40 33 36 45 62 85 94 91 91 94 87 74 75 82 84 89 101 111 116 119 122 126 132 142 142 126 109 106 112 122 121 112 98 100 127 152 156 136 117 108 105 104 106 107 111 116 122 130 135 133 124 111 88 68 63 73 95 124 143 146 136 118 98 84 75 62 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 2 5 7 9 10 10 11 15 21 26 25 22 18 15 14 13 11 7 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 2 1 0 0 0 0 0 2 4 4 4 4 4 4 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 2 6 9 8 9 10 12 14 15 17 16 21 25 22 12 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 8 19 26 34 43 50 46 39 35 41 57 80 90 84 81 89 92 88 91 100 100 93 99 107 112 115 119 128 138 151 154 135 116 106 108 116 117 108 93 89 107 137 157 157 145 132 125 124 124 125 127 130 132 135 138 137 129 118 103 91 88 93 108 125 138 143 142 134 121 104 86 72 61 56 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 2 4 5 7 8 10 9 8 8 11 17 21 22 20 17 14 10 8 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 3 3 2 1 0 0 0 2 4 4 4 4 4 4 3 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 2 0 0 0 0 1 8 12 13 13 15 15 15 13 13 11 13 17 15 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 10 18 25 29 37 44 48 47 40 38 47 65 79 78 75 83 91 95 103 112 113 103 104 109 112 114 122 135 147 157 161 152 141 132 125 118 113 110 101 92 100 126 158 178 176 160 149 146 146 143 141 142 142 143 144 142 135 123 110 104 101 104 114 126 135 139 139 136 130 114 92 74 67 68 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 1 2 4 6 8 9 10 9 7 6 5 8 12 15 17 18 17 13 8 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 3 2 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 1 0 0 0 0 0 3 6 7 8 9 10 9 7 5 4 3 4 4 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 8 15 21 25 30 37 46 52 50 42 39 47 60 71 78 83 89 94 100 107 109 107 111 116 115 110 115 132 149 160 166 166 166 164 154 135 120 116 113 104 102 120 152 181 190 179 165 162 163 160 153 148 145 143 141 137 131 120 108 100 99 104 114 125 129 130 129 127 125 116 94 67 56 58 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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