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