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