Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 5 5 6 6 8 9 8 6 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 4 3 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 4 4 5 5 5 6 6 5 5 5 6 5 5 5 4 4 5 7 8 8 7 6 6 7 7 7 7 7 7 6 5 4 4 6 9 6 6 6 6 5 8 -2 -2 5 2 4 7 4 9 13 8 3 2 4 5 6 8 3 5 10 7 -0 3 6 2 -1 4 9 5 -2 -4 8 17 8 -3 -1 3 3 5 4 -0 2 1 -2 -3 -3 -2 3 8 13 7 -1 1 6 6 4 1 0 3 6 6 6 19 39 36 16 7 5 2 2 2 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 5 6 7 8 8 8 8 10 10 10 10 11 11 11 10 9 8 7 6 7 7 6 6 6 7 7 5 5 6 6 5 5 5 4 4 4 4 6 7 5 5 5 5 5 5 5 6 8 6 2 2 3 3 3 4 4 4 4 4 4 3 3 3 4 4 3 2 3 3 4 4 3 3 2 2 2 3 4 4 4 5 5 6 7 8 9 9 8 6 4 3 3 4 6 6 5 5 6 7 7 5 4 3 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 4 3 4 7 16 27 19 6 4 6 5 1 2 -3 -4 -10 -4 2 -1 2 4 2 3 2 1 -1 -8 -10 -7 -5 -5 -5 -3 2 4 5 6 6 8 10 13 15 15 9 7 9 10 11 12 13 15 15 13 11 10 9 6 6 9 13 15 16 15 11 8 6 5 3 2 1 2 3 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 5 4 4 5 6 8 8 8 6 5 4 4 4 4 3 3 4 5 6 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 2 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 4 4 4 5 6 6 6 6 6 6 6 5 5 5 4 4 4 5 7 8 8 7 6 7 6 6 7 7 7 6 5 4 4 6 7 8 11 9 8 11 13 5 2 5 5 6 8 3 3 5 8 8 7 5 6 14 13 6 5 6 4 4 8 8 5 4 5 8 9 5 -2 1 15 16 7 2 3 9 11 6 3 6 7 2 0 -1 -4 1 10 12 5 -1 0 3 5 6 8 8 9 9 11 19 33 38 23 8 5 4 2 2 2 3 3 4 4 4 4 3 3 3 3 4 4 4 4 5 5 6 7 8 8 8 8 8 8 8 8 9 10 11 11 11 9 7 7 6 5 4 3 3 5 7 6 6 5 4 5 5 5 3 2 3 5 6 5 5 5 5 5 5 5 5 6 6 1 -1 2 3 2 2 3 4 4 4 4 3 3 3 4 4 5 4 2 3 4 5 5 4 3 2 2 3 3 4 4 4 5 6 7 8 9 10 10 8 6 4 3 3 4 6 5 4 5 5 5 5 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 4 4 5 8 17 25 24 17 11 5 6 11 6 -2 0 1 3 1 4 4 3 7 7 4 1 0 0 -1 0 -1 -3 -3 0 4 5 5 6 6 5 5 6 8 7 4 5 6 7 8 9 11 12 13 11 9 7 5 5 8 10 13 16 16 12 7 6 5 4 3 1 -0 1 2 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 5 5 5 4 5 7 9 9 8 6 4 4 4 4 3 3 4 5 5 6 5 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 6 6 7 6 6 6 5 5 5 4 4 4 4 6 7 8 8 7 7 6 7 7 7 7 6 5 4 3 3 6 13 15 11 11 16 12 8 5 3 5 7 6 2 -2 -1 4 9 11 6 5 13 13 6 3 3 3 8 11 9 9 8 7 7 9 10 9 9 9 10 11 8 6 10 10 6 8 11 12 7 2 -4 -5 2 9 8 5 4 1 2 5 6 9 10 9 11 21 34 37 24 10 5 4 3 2 2 2 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 6 7 8 8 7 7 7 7 8 9 10 11 11 11 9 7 5 4 3 3 2 2 1 -1 4 6 4 4 5 5 4 3 4 4 5 6 5 5 5 5 5 5 5 5 5 4 -3 -6 -0 2 1 0 3 4 5 4 4 3 3 4 5 5 5 5 3 4 5 5 5 4 4 3 2 3 3 4 4 4 5 6 7 9 11 12 12 10 6 4 3 3 5 6 5 4 5 5 5 5 5 4 4 4 3 4 4 4 5 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 4 6 13 20 23 17 7 7 7 3 -0 3 4 3 3 4 4 6 6 6 6 5 5 6 4 4 3 2 2 2 4 5 5 5 6 6 5 4 4 5 5 5 5 6 6 6 7 8 8 8 7 6 5 4 5 6 10 13 13 10 6 5 6 5 4 2 0 0 0 1 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 5 5 4 4 6 8 9 9 7 6 5 5 4 4 4 3 4 5 6 6 6 7 6 6 5 5 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 4 5 6 7 7 6 6 6 5 5 4 3 4 4 5 7 8 8 7 6 7 7 6 7 7 6 5 4 2 1 5 13 13 8 7 9 5 6 7 6 1 5 7 -0 -5 0 5 10 9 4 3 7 8 4 3 2 2 5 6 7 9 10 7 6 7 8 11 15 14 12 10 10 11 11 4 -3 4 12 14 11 2 -7 -6 2 6 7 7 5 3 3 4 5 7 8 12 24 36 39 28 12 5 5 4 3 2 2 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 8 8 8 7 7 7 8 8 9 10 10 9 7 5 4 3 3 3 3 2 -2 -3 4 6 5 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 5 1 -5 -3 2 3 1 2 4 5 4 4 4 5 6 6 6 6 4 4 5 6 5 5 4 4 3 3 3 4 4 4 5 5 7 8 10 12 14 14 11 7 5 4 5 6 6 5 4 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 7 15 17 12 9 7 2 -0 2 4 4 3 4 4 6 8 7 5 5 7 6 3 4 5 5 5 4 5 5 4 5 6 6 5 4 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 8 10 10 8 6 6 5 6 5 4 3 3 3 2 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 4 4 4 3 4 5 6 6 7 8 7 6 6 5 5 5 4 3 3 4 6 7 8 7 6 6 5 4 4 4 3 3 3 3 2 2 2 2 1 2 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 5 4 3 3 3 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 6 7 7 6 6 5 5 5 5 4 4 4 5 6 8 8 7 7 7 7 7 7 7 7 5 4 3 0 2 6 7 5 5 4 -1 5 8 4 -1 5 11 5 -0 2 7 11 4 -0 -1 3 3 2 3 1 1 3 4 3 5 8 7 7 6 4 5 9 18 20 12 8 8 6 4 -1 3 8 9 9 4 1 5 3 1 4 7 6 5 3 3 4 5 9 20 36 39 28 14 5 4 4 3 2 2 2 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 7 7 7 8 7 8 8 8 8 9 9 8 6 5 4 4 4 4 3 2 2 6 7 7 6 4 3 4 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 3 1 -3 1 7 8 4 4 4 4 5 6 6 8 8 7 5 4 4 5 6 5 4 4 3 3 3 4 4 4 5 5 6 7 9 10 12 14 14 11 7 5 5 6 7 7 5 3 3 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 1 -1 -2 -0 -0 -1 1 6 11 11 8 6 5 3 4 6 6 4 4 2 4 8 10 6 3 7 8 7 8 8 7 6 5 5 4 4 5 6 6 5 4 4 4 5 6 6 6 5 5 5 4 4 4 5 5 5 4 4 4 6 8 9 9 7 4 4 5 5 4 5 6 6 5 2 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 4 3 2 3 4 4 4 5 6 7 7 7 7 6 6 6 4 4 3 4 6 6 7 7 6 5 5 4 4 4 4 3 3 2 2 2 1 1 1 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 7 7 6 5 5 5 5 5 5 4 4 4 6 7 8 8 7 7 7 7 7 7 7 6 4 3 1 1 5 3 1 4 4 1 7 9 3 1 3 7 8 7 4 7 8 2 1 1 -1 -2 1 4 3 3 6 6 1 0 3 7 8 3 -2 3 5 10 11 8 8 4 1 7 13 9 5 6 6 6 11 12 5 4 5 7 7 6 4 3 4 5 9 22 31 24 13 6 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 7 6 6 5 5 5 4 3 3 5 8 6 6 6 4 4 5 5 5 5 5 6 6 5 5 5 5 4 5 5 5 5 4 4 3 -0 -0 6 9 6 4 4 4 5 7 9 10 10 8 4 3 4 5 5 4 3 3 3 3 4 4 4 5 5 5 6 7 8 10 11 13 12 10 7 6 6 8 9 7 4 3 3 3 4 4 5 4 4 5 4 4 5 4 4 4 4 4 4 4 4 3 3 2 2 2 0 -2 -6 -8 -5 -4 -4 -0 4 7 8 6 5 4 4 7 9 7 4 4 4 2 3 11 8 2 4 8 11 12 10 7 6 6 5 3 3 3 5 6 6 4 4 4 5 6 6 6 5 5 6 5 4 5 5 4 4 4 4 4 5 6 8 10 8 6 5 6 7 7 8 9 10 8 3 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 3 3 3 3 2 2 4 5 5 4 4 5 6 7 7 7 6 6 6 5 4 4 4 4 5 6 5 4 4 5 5 5 4 4 3 3 3 2 2 1 2 2 2 2 3 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 3 3 4 4 4 3 3 4 4 4 3 3 4 4 4 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 5 5 4 5 5 5 5 5 4 4 4 4 5 5 5 6 7 8 6 5 5 5 5 5 5 5 4 4 6 6 7 8 8 7 7 7 7 7 6 6 5 3 2 3 5 3 -1 0 2 4 9 6 3 5 4 4 8 9 4 7 6 -0 4 9 4 -0 3 4 4 5 7 5 3 2 2 8 10 0 -6 4 5 2 -2 2 4 6 4 1 7 7 6 5 -1 5 11 10 8 7 8 6 5 5 4 4 6 6 11 20 20 12 6 4 4 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 5 5 5 6 6 6 6 7 7 7 8 8 7 7 7 7 6 6 6 6 4 3 3 4 7 6 5 5 5 5 6 6 5 5 6 6 6 5 5 5 5 4 4 5 5 5 4 4 4 3 0 -0 4 5 4 3 4 6 7 10 12 10 7 4 2 3 4 4 3 3 3 3 3 4 5 5 5 5 5 6 7 8 9 10 10 9 7 7 7 8 10 9 6 4 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 2 1 2 2 -1 -4 -6 -5 -2 -3 0 5 6 5 6 6 4 4 7 7 6 7 5 3 -1 1 8 8 3 3 7 11 13 11 7 5 4 4 3 1 2 2 4 4 5 4 4 5 6 6 6 6 6 6 5 4 4 4 4 4 4 4 5 6 8 9 10 11 10 9 10 11 12 12 14 14 10 6 3 2 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 5 4 3 3 2 1 1 3 5 5 5 5 4 5 5 6 6 6 6 6 6 6 5 4 3 3 3 4 4 4 5 5 5 5 4 4 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 2 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 4 5 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 7 8 7 5 5 5 5 6 5 5 4 4 5 6 7 8 8 8 7 7 7 7 7 6 5 4 3 2 4 4 3 1 2 7 11 7 3 5 5 3 6 9 7 9 4 0 4 10 11 7 7 4 4 5 5 3 5 5 5 12 9 -3 -3 7 8 6 -1 -2 -1 6 8 2 -1 2 7 4 -4 -1 3 5 7 11 12 8 3 2 2 4 6 8 16 22 16 8 5 5 4 4 3 3 3 3 2 2 2 3 2 2 2 2 3 3 4 4 4 5 5 5 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 5 4 4 3 5 8 8 6 5 5 6 7 6 6 6 6 6 5 5 5 4 5 5 6 6 5 5 4 5 5 3 1 1 3 4 3 4 5 6 8 11 10 6 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 7 7 7 8 7 7 6 6 7 9 10 9 6 3 3 3 3 3 3 3 4 4 5 5 5 6 6 5 5 5 4 4 4 4 4 3 1 -1 1 4 3 2 1 0 2 2 2 4 5 4 4 6 6 5 5 4 4 9 9 2 -4 -0 6 7 5 5 6 9 11 11 8 5 4 3 2 3 3 -0 -1 1 4 5 4 4 6 7 7 7 7 7 5 4 4 4 4 4 4 5 6 7 10 12 13 14 15 15 16 19 22 24 22 17 11 8 4 2 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 7 6 4 3 2 1 2 3 4 5 5 5 6 5 5 5 6 6 6 5 5 6 7 6 5 3 2 4 4 5 5 5 5 5 5 4 4 4 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 3 3 3 4 5 5 4 3 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 5 5 6 7 8 8 7 5 5 5 5 6 6 5 4 4 4 5 7 9 9 9 8 7 7 7 6 6 5 4 4 2 2 4 6 5 6 8 10 9 7 9 9 3 3 6 9 11 5 5 3 3 9 8 9 6 5 7 3 1 4 6 10 13 3 -5 1 7 9 8 6 -2 -3 4 5 3 5 10 13 7 2 -1 3 2 5 12 12 7 3 1 3 5 7 11 20 21 12 6 6 5 4 4 4 4 3 2 2 2 3 3 2 2 2 2 3 4 4 4 4 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 5 4 5 4 6 15 17 12 9 8 7 7 7 7 6 5 5 5 6 5 5 5 6 6 6 6 6 6 6 6 6 4 1 2 4 4 4 4 5 6 7 6 5 5 6 6 5 4 3 2 3 4 4 4 5 4 4 5 6 6 7 7 7 7 6 6 5 6 8 9 11 9 6 4 3 3 3 3 3 3 3 3 4 4 5 6 6 6 6 5 5 5 5 5 5 4 3 0 -2 3 6 5 5 3 2 3 4 4 3 4 3 4 6 8 8 4 4 10 13 4 -4 -1 4 6 6 5 5 7 10 11 9 6 4 2 1 5 8 5 1 -1 1 3 4 5 6 7 8 9 8 6 5 4 4 4 4 4 4 5 7 8 11 14 16 19 23 23 21 27 38 42 33 18 9 5 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 7 6 5 3 2 2 2 3 4 4 4 5 6 6 5 5 6 6 5 4 4 5 7 6 6 5 3 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 3 3 4 5 4 4 3 3 4 5 4 3 3 3 4 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 9 8 6 5 5 5 6 6 6 5 5 4 4 5 7 9 10 9 8 8 7 7 7 6 5 4 3 2 2 4 5 7 6 4 4 4 7 10 11 7 4 2 3 7 9 10 5 2 7 8 10 11 8 5 1 1 3 6 8 6 -2 -2 3 4 6 7 8 0 3 6 4 5 4 8 11 5 5 2 6 6 10 14 10 6 3 1 4 6 8 14 20 17 8 5 5 5 5 5 5 4 4 3 3 3 2 2 2 3 2 2 3 3 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 5 5 5 6 6 7 8 7 7 6 5 4 4 4 6 14 19 20 19 16 13 11 10 8 7 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 6 4 3 4 5 4 4 5 4 3 3 3 4 5 6 5 5 4 3 3 3 5 5 5 4 4 4 5 6 6 6 6 6 6 6 6 6 7 8 10 9 7 5 3 2 2 3 3 3 3 3 4 4 4 5 5 5 6 5 5 5 5 5 5 5 7 9 4 2 5 6 6 5 3 3 4 5 5 5 6 5 7 11 12 8 5 7 11 8 1 1 4 6 6 6 5 7 9 11 11 8 4 2 2 5 10 10 8 5 1 2 3 4 5 7 9 10 8 6 5 4 4 4 4 4 5 6 7 10 12 14 18 26 33 31 21 23 42 52 37 15 6 3 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 6 7 7 6 4 2 2 2 4 4 3 2 4 5 6 6 6 6 5 4 3 3 4 5 6 7 6 5 4 4 4 4 5 5 5 5 5 5 4 3 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 3 4 4 4 3 3 3 4 4 4 3 3 3 4 3 4 4 4 3 4 4 3 4 4 4 3 3 4 3 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 6 6 8 8 9 9 9 8 7 5 5 5 5 6 6 5 5 4 4 5 7 8 10 10 9 8 7 7 6 6 5 4 4 3 2 2 5 8 6 2 1 3 8 9 7 5 2 0 -0 5 11 10 7 5 4 9 13 12 7 2 -1 4 7 5 2 0 -1 2 3 3 6 7 8 3 5 5 5 4 5 6 2 -0 3 3 6 10 14 14 10 6 3 4 5 5 7 15 18 12 6 5 5 4 5 4 5 5 4 4 3 2 2 2 2 3 2 2 2 3 3 4 4 4 5 5 5 5 5 5 4 4 4 5 5 6 6 6 5 4 5 5 5 5 6 6 6 6 5 4 4 4 4 6 12 18 21 21 21 19 17 14 13 13 11 9 7 6 5 5 3 3 4 6 7 7 8 8 10 11 10 5 4 5 5 5 5 5 3 1 1 2 3 4 5 5 4 4 4 5 5 5 5 5 5 4 5 5 5 5 3 3 5 6 6 5 6 7 8 9 8 7 4 1 0 1 2 2 3 4 4 4 3 3 4 4 4 4 3 2 3 3 2 3 8 15 11 4 4 6 5 5 3 3 4 7 10 9 7 6 7 11 13 10 6 6 7 7 5 4 4 5 6 6 6 7 8 11 12 12 7 4 2 3 7 8 7 7 4 2 3 3 4 6 9 10 8 6 4 4 4 4 4 5 5 6 8 11 13 13 17 28 38 32 14 10 23 34 24 10 5 3 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 6 8 8 6 5 3 2 3 4 4 3 3 3 3 4 5 5 6 5 4 3 3 3 4 5 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 3 2 2 2 2 2 3 3 3 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 2 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 4 4 4 3 3 3 4 4 4 3 3 3 4 3 3 4 3 3 3 3 3 4 4 4 3 3 4 3 3 4 4 3 3 4 5 4 5 5 4 5 5 5 5 6 6 6 6 7 6 6 6 7 7 7 7 8 9 10 10 9 9 8 6 6 5 5 6 6 6 5 4 4 4 5 7 8 10 11 10 9 8 7 6 6 5 4 4 3 2 2 5 9 9 3 1 5 8 9 8 5 1 1 6 9 8 6 5 4 3 9 14 13 7 0 -2 5 12 6 -0 -1 1 3 3 2 3 6 6 4 3 5 5 3 5 3 3 3 4 3 2 9 9 9 9 6 3 6 8 7 11 18 16 8 4 4 5 5 4 4 5 5 4 4 3 2 2 2 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 5 8 11 14 16 18 18 18 19 17 15 13 10 6 5 5 5 6 8 11 15 16 16 16 17 16 11 5 4 4 5 5 5 5 4 2 1 1 1 2 4 5 5 5 5 5 6 6 6 6 5 5 4 4 5 5 0 -5 -5 1 5 5 5 5 6 7 8 9 8 5 2 -0 -1 -1 1 2 4 4 3 2 2 2 1 0 -2 -5 -3 -2 -2 0 5 11 11 6 5 5 4 4 3 3 4 8 10 10 8 5 5 9 11 8 6 4 4 5 4 4 4 4 5 6 6 6 6 9 12 13 10 7 4 4 4 4 3 3 4 3 3 3 4 6 7 8 7 5 5 5 5 5 4 5 6 6 8 11 13 12 14 21 27 21 9 5 8 9 9 6 4 4 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 6 9 9 6 4 4 3 3 4 3 4 3 3 3 3 3 4 5 4 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 6 7 7 7 7 8 10 10 10 10 10 8 7 7 6 5 5 6 6 5 5 5 4 4 4 6 8 10 11 11 10 9 8 7 6 4 4 4 4 5 5 4 5 7 1 1 5 4 -1 6 11 11 7 9 7 5 5 6 5 4 8 13 14 8 2 -0 3 10 9 3 2 4 3 3 3 2 2 -2 0 2 7 5 3 3 2 9 6 2 -4 -3 6 7 7 9 7 4 5 8 12 19 21 13 5 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 4 5 5 5 4 3 3 3 3 2 2 2 2 2 2 2 2 1 2 2 3 4 5 6 8 10 13 13 12 12 13 12 11 10 10 12 16 19 19 19 18 19 21 22 19 9 4 4 4 5 5 5 5 5 4 2 1 1 2 3 4 5 5 5 5 6 7 7 6 6 5 4 4 5 6 4 -7 -15 -10 1 5 4 4 4 5 6 8 9 9 7 5 1 -2 -3 -2 -0 2 3 1 -1 -3 -3 -4 -5 -9 -10 -9 -6 -3 1 6 8 5 5 4 4 5 6 6 5 6 5 3 5 6 6 7 7 7 5 3 3 5 5 5 4 4 4 6 6 4 4 6 10 11 11 9 6 4 3 3 2 3 3 3 3 3 3 5 6 6 6 5 5 5 5 4 5 5 6 6 9 12 11 11 12 14 14 10 5 5 6 5 7 7 6 6 8 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 3 2 5 9 9 6 4 4 4 4 2 2 4 5 4 3 3 3 3 4 4 3 2 2 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 3 2 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 2 3 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 8 7 7 8 9 10 10 10 10 8 8 7 7 6 5 5 5 5 5 4 4 4 5 7 8 10 10 11 11 10 8 7 6 4 4 4 5 7 8 3 2 3 -0 2 3 4 -3 9 18 17 10 4 2 5 8 9 7 4 5 11 13 11 7 7 4 2 4 7 9 7 4 5 6 4 2 -2 1 4 6 5 5 4 9 11 6 -1 -4 2 6 7 9 11 9 6 5 6 13 22 19 10 4 3 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 2 1 0 1 -0 -0 0 1 1 1 1 2 2 3 3 3 4 5 6 6 7 9 11 14 15 15 16 16 16 13 11 10 12 15 17 14 7 5 4 4 5 5 5 6 6 4 4 2 2 2 2 1 2 5 3 1 3 6 7 7 6 6 5 5 6 8 10 5 -5 -10 -4 3 4 4 4 4 5 6 7 9 10 10 9 6 1 -4 -6 -5 -1 0 -2 -5 -5 -5 -4 -6 -7 -7 -6 -2 -0 2 4 5 6 6 6 7 11 13 8 4 2 1 2 6 7 7 7 6 5 4 3 5 6 6 5 4 4 5 5 4 4 4 7 9 11 10 7 5 4 3 2 3 4 3 3 3 4 5 5 5 5 4 3 4 5 4 5 5 5 6 9 11 11 10 10 9 9 8 6 7 8 8 8 9 9 8 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 1 3 8 10 7 4 4 6 4 2 1 4 5 5 4 3 2 2 3 3 3 2 2 2 2 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 2 3 2 2 2 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 3 3 2 3 4 4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 5 5 6 5 6 6 7 7 7 7 7 7 8 8 9 10 10 9 9 9 8 8 7 6 5 5 5 5 5 4 5 6 7 9 10 11 11 11 11 9 8 6 5 4 5 5 5 7 4 5 4 6 5 -0 -2 3 7 15 9 10 1 -2 3 7 9 11 8 5 7 12 13 11 10 5 0 1 5 6 6 7 7 5 6 6 6 6 5 6 7 7 7 15 16 10 1 4 8 7 6 8 9 7 7 6 5 14 21 14 7 4 3 3 3 3 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 4 4 4 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 1 1 0 -0 -0 1 1 1 1 2 3 3 3 3 4 4 5 6 6 7 8 10 11 11 9 7 6 5 5 5 5 6 8 8 5 5 5 5 5 5 5 6 5 5 5 4 4 4 3 1 -2 2 3 -5 -8 -2 5 7 7 6 6 6 6 11 17 15 8 3 0 2 4 4 4 4 4 4 5 6 8 9 11 12 9 3 -6 -10 -8 -6 -7 -7 -4 -1 -0 1 2 3 1 2 3 3 3 4 6 7 7 7 10 15 12 6 4 3 4 5 6 7 7 7 6 5 5 5 6 6 5 5 5 5 5 4 3 4 5 7 9 10 8 6 5 4 3 3 4 3 3 3 4 4 5 5 5 4 3 3 5 5 5 5 5 5 8 10 10 9 8 8 8 7 8 9 8 6 6 5 6 7 5 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan -1 -0 2 6 9 7 5 5 6 5 3 2 4 6 5 4 4 3 2 2 3 2 1 1 2 2 2 2 2 2 2 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 4 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 7 8 9 9 9 9 9 10 10 9 7 6 5 5 5 5 5 5 5 7 8 10 11 12 12 11 10 9 8 7 4 3 4 4 3 5 7 8 6 11 7 3 1 8 3 5 3 13 6 -0 -1 4 4 7 9 7 5 9 13 11 6 1 1 6 5 -0 3 8 7 5 6 7 9 7 4 6 8 6 9 16 14 12 6 9 8 6 6 6 6 5 6 8 10 18 19 10 4 3 3 3 3 3 4 4 3 3 4 4 3 3 2 3 3 2 3 3 4 4 4 4 4 4 4 4 4 5 6 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 3 4 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 5 6 6 6 5 4 3 3 2 3 4 4 3 3 4 4 5 5 5 5 6 6 6 5 6 6 5 6 6 6 5 5 7 7 2 3 7 1 -11 -15 -5 4 7 6 6 6 6 10 17 19 11 6 4 2 3 4 4 4 4 3 2 2 3 3 4 7 10 9 1 -8 -10 -7 -6 -5 -2 1 3 4 4 5 5 5 5 5 5 6 6 6 6 2 -0 6 9 6 6 5 5 5 6 7 8 8 7 6 6 6 7 6 6 6 5 5 5 3 2 3 4 6 7 9 9 8 6 5 5 4 4 3 3 4 3 4 4 5 5 6 5 4 4 5 5 5 5 5 7 8 9 8 7 7 6 5 5 6 6 5 5 6 5 5 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan -3 -3 0 4 6 5 4 5 6 6 3 2 4 5 5 4 4 2 2 3 3 2 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 5 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 3 3 3 3 4 3 3 3 3 3 3 2 3 2 2 2 3 3 3 4 3 2 3 3 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 7 6 5 5 5 5 5 6 7 8 10 11 12 12 12 11 10 9 8 7 4 2 2 3 2 3 6 8 9 8 5 8 11 12 4 8 11 13 9 5 1 4 2 -0 5 4 2 6 10 10 6 -1 -2 5 5 1 0 3 6 9 7 4 6 7 4 5 7 6 10 12 7 7 8 9 5 1 4 5 5 5 5 9 15 22 17 7 4 3 3 3 2 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 2 2 3 3 4 4 4 4 4 3 2 0 -1 -0 2 4 4 3 3 4 3 4 4 4 5 6 6 7 7 6 6 7 6 6 6 6 5 7 10 10 8 13 13 2 -12 -15 -7 -0 0 2 3 6 8 12 15 10 3 2 2 3 3 3 2 1 -0 -3 -6 -4 -2 -4 -5 0 6 5 2 1 3 3 -1 -2 -0 1 2 3 3 2 3 6 8 9 9 9 8 7 4 -1 -0 4 4 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 3 2 2 4 5 7 9 10 9 8 7 6 5 4 4 4 3 4 4 4 4 5 6 6 5 4 5 5 5 5 5 6 7 7 7 7 7 6 5 3 4 5 7 7 6 6 4 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 -2 -4 -1 3 3 3 3 3 5 5 4 4 4 5 5 4 3 2 2 4 3 2 2 1 1 2 2 2 3 3 3 3 2 2 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 3 3 2 2 2 2 2 3 3 2 2 2 2 3 3 3 3 3 4 4 4 3 3 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 2 3 3 4 4 4 4 4 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 3 3 3 4 4 5 5 5 6 6 6 6 7 7 8 8 8 8 9 9 9 9 8 7 9 9 10 10 7 6 5 5 5 5 6 7 8 9 11 13 13 13 13 11 9 9 9 7 4 1 1 2 3 3 4 8 9 5 7 3 4 4 7 7 11 8 7 8 4 5 2 -0 7 -0 -3 4 4 9 12 3 -3 1 4 4 0 -3 3 11 7 -3 -1 4 6 5 5 7 10 9 1 1 7 8 2 -1 2 4 5 5 5 8 18 23 14 6 4 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 5 5 5 5 5 5 4 3 3 2 2 2 3 4 4 3 3 2 2 2 3 3 2 2 2 3 3 3 3 3 3 3 4 4 5 6 6 7 8 7 7 7 7 7 6 6 5 6 8 8 9 13 15 9 1 -11 -17 -12 -10 -7 -5 1 7 8 9 7 4 3 3 2 1 0 -1 -3 -4 -5 -8 -10 -5 -4 -6 -5 1 5 8 9 8 7 4 3 2 2 4 6 6 3 3 9 13 13 10 7 8 8 7 4 2 3 4 5 5 6 7 7 7 7 7 6 6 7 6 5 5 5 5 5 6 5 4 3 2 3 5 8 10 12 12 11 9 7 6 5 5 4 4 4 4 3 4 4 6 5 5 5 5 5 6 5 5 5 6 7 7 6 5 6 6 4 4 6 7 7 5 4 4 4 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 0 -2 0 3 3 2 1 1 2 4 5 6 6 5 4 4 3 2 3 3 4 3 2 1 1 2 2 2 2 3 3 3 2 2 2 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 3 3 4 4 4 3 3 3 3 3 3 2 3 2 3 3 3 3 3 2 3 3 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 4 5 5 6 7 6 6 6 7 8 8 8 9 11 13 13 11 10 8 7 8 9 10 9 8 6 5 4 4 5 6 7 9 11 12 13 13 13 13 10 8 8 8 7 5 2 1 2 4 4 4 8 5 4 8 2 2 -2 3 -2 6 4 3 8 5 6 5 6 8 -0 -4 1 -1 8 19 13 5 3 4 5 2 -3 1 7 5 -2 -2 3 6 5 5 7 9 6 1 -1 4 3 1 3 3 4 5 4 4 10 22 23 12 5 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 5 4 4 5 5 6 5 5 4 4 5 5 5 5 5 5 4 5 5 5 5 6 6 5 4 4 4 3 3 3 3 3 3 3 2 2 2 2 3 6 8 7 4 3 3 3 3 3 4 4 4 5 5 5 6 7 8 8 8 7 7 6 6 5 5 5 5 6 8 11 14 9 4 0 -7 -10 -10 -11 -12 -10 -1 4 6 6 5 4 4 3 1 -1 -1 -2 -3 -1 -1 -3 -2 1 2 0 2 5 7 8 8 8 7 7 7 10 12 12 12 10 7 9 12 12 10 4 2 5 5 3 4 4 5 5 6 6 7 7 7 7 7 6 6 6 6 5 5 6 6 6 7 5 4 2 3 3 5 7 9 13 16 15 11 8 7 6 5 5 5 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 4 5 6 6 4 4 4 4 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 3 2 3 4 4 2 0 -1 -1 2 5 7 7 5 3 2 2 2 3 3 4 3 2 2 2 1 1 1 1 2 2 2 1 1 2 2 3 3 3 3 3 4 4 4 5 5 5 4 4 4 5 5 5 4 4 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 4 4 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 3 4 4 5 5 5 4 3 3 4 4 6 6 6 6 6 6 7 8 8 9 11 16 19 17 14 11 9 8 8 9 9 9 8 6 5 4 4 5 7 8 9 11 12 13 13 13 12 10 8 7 8 7 5 2 1 2 4 5 7 7 2 3 5 4 5 5 4 -4 2 2 2 2 7 7 10 13 12 5 1 -2 -3 6 11 10 11 5 3 3 2 2 3 4 4 3 3 4 4 4 6 7 5 3 5 3 1 0 3 10 7 5 6 4 5 11 25 22 9 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 4 3 4 3 4 4 4 4 4 3 3 3 4 3 3 3 4 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 2 2 2 2 2 4 6 9 8 5 4 3 3 3 4 5 5 5 5 5 5 5 6 7 7 7 7 7 6 5 5 5 6 6 6 8 12 18 15 8 5 2 2 2 0 -6 -13 -12 -7 -0 4 5 4 4 6 4 3 5 6 3 3 4 5 5 5 7 6 6 7 6 5 6 6 6 4 8 16 17 14 14 13 10 8 7 7 7 4 1 2 3 4 4 4 5 6 6 7 7 8 8 7 7 7 6 5 6 5 5 5 5 7 7 6 4 3 4 4 5 6 7 11 16 17 13 10 9 8 7 7 6 4 4 3 2 3 5 5 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 4 3 3 4 5 5 4 4 4 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 5 6 5 4 2 0 -2 -2 1 3 5 6 6 5 3 2 1 2 2 3 4 3 3 2 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 3 3 4 4 3 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 6 6 6 5 6 7 8 8 9 15 24 26 22 16 12 9 8 8 9 9 8 7 5 4 4 4 5 7 9 10 11 12 12 12 12 10 9 7 6 7 6 3 -0 0 2 3 5 7 6 4 5 4 4 5 15 12 1 -6 -5 2 -0 7 7 10 19 19 12 7 -3 -3 2 -0 1 10 9 4 4 3 5 7 5 4 5 7 5 3 4 6 7 4 2 7 7 1 1 6 10 7 6 6 4 5 12 24 22 8 4 4 4 3 3 3 3 3 3 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 3 2 2 2 2 2 2 3 5 6 6 5 3 3 3 4 4 5 5 5 5 5 4 5 5 6 6 6 6 6 5 5 5 5 5 5 6 7 10 16 22 20 10 4 4 8 11 6 -3 -8 -12 -10 -4 -0 1 2 4 6 6 7 9 7 5 5 6 7 7 7 7 7 7 7 6 6 6 5 -1 4 12 13 11 10 10 9 7 5 3 3 3 2 2 3 4 5 5 5 6 7 8 8 8 8 7 7 7 7 6 6 5 4 4 5 6 6 7 6 5 4 4 5 5 5 8 12 15 14 12 11 11 11 9 7 6 5 4 2 3 4 5 5 4 5 5 5 5 5 5 6 6 7 7 6 6 5 3 2 3 4 5 4 4 4 4 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 0 2 4 5 6 5 3 1 -1 -1 -0 1 2 4 5 6 5 3 1 0 1 2 4 5 4 3 2 2 2 2 2 1 1 1 1 2 3 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 2 2 3 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 4 3 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 11 23 33 33 25 17 11 9 8 9 10 9 7 6 5 4 4 3 5 8 10 11 11 10 11 11 10 9 8 6 6 5 4 2 1 1 1 3 7 5 5 6 9 8 5 5 16 15 7 -2 -6 2 3 5 3 4 20 19 12 8 -0 -1 2 -1 -0 7 10 6 5 3 3 5 6 4 4 9 10 4 4 7 10 8 2 3 5 3 4 8 6 4 5 5 4 6 14 24 20 8 4 4 4 4 3 3 3 4 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 4 5 5 5 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 2 1 2 2 3 3 2 2 3 4 4 4 4 3 3 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 6 11 17 23 20 12 9 8 10 10 6 4 -1 -8 -10 -7 -6 -4 -2 0 0 1 3 5 5 4 3 4 6 6 5 6 8 9 8 5 7 9 3 2 6 6 6 6 7 8 9 8 4 0 -0 1 2 4 5 6 5 6 6 7 8 9 9 8 7 6 7 7 7 6 3 3 4 6 7 8 8 7 5 5 5 6 6 2 4 9 12 12 11 13 13 13 11 9 8 7 5 4 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 4 2 1 2 3 5 5 4 4 4 4 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 1 2 3 4 4 5 3 2 1 1 0 -0 0 3 6 6 5 4 2 1 2 4 5 5 3 3 3 4 3 2 2 2 1 1 2 3 3 3 2 2 2 2 2 3 3 3 4 4 3 3 3 4 5 5 5 5 6 6 6 5 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 4 4 5 5 5 5 5 6 6 5 6 6 6 7 7 17 34 38 30 22 16 12 9 9 10 10 9 7 6 4 3 3 3 5 8 10 11 10 9 9 10 9 7 6 6 5 3 2 1 2 1 2 6 9 5 3 5 11 10 8 6 10 13 11 6 4 7 7 5 2 3 15 12 6 5 5 5 3 4 3 4 10 10 5 3 3 5 8 6 5 11 12 6 3 7 11 9 3 2 5 7 9 8 3 2 4 5 4 5 15 25 20 8 3 3 4 4 3 3 4 4 4 4 4 4 3 4 4 3 4 4 3 3 3 4 4 3 3 4 4 3 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 2 1 1 2 2 3 3 3 2 2 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 4 5 5 4 4 5 4 4 4 4 4 4 6 8 14 20 22 19 16 12 10 8 8 8 1 -5 -5 -4 -4 -2 -1 -3 -3 0 3 5 5 2 3 5 5 4 5 10 12 11 8 10 12 8 2 3 3 3 5 7 10 14 13 6 -0 -2 1 3 5 6 6 6 6 7 7 9 9 10 8 7 6 6 8 7 5 2 2 5 9 10 9 7 6 5 5 5 5 7 3 1 8 10 10 10 11 13 12 11 10 10 9 8 7 5 4 3 2 3 5 5 4 5 5 6 6 6 6 6 6 5 4 2 1 2 3 3 4 5 4 4 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 2 1 1 1 2 3 4 4 3 2 2 1 -0 -1 0 2 4 6 6 4 2 3 4 5 4 3 3 4 5 5 4 4 3 2 2 1 2 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 5 5 4 5 6 6 6 6 6 5 4 4 3 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 6 6 5 5 5 6 6 6 6 6 9 27 42 29 16 15 14 11 9 9 10 9 8 6 5 4 3 3 3 5 8 10 11 10 9 9 8 7 6 5 5 3 1 1 2 1 -0 7 9 12 8 3 3 5 6 9 7 7 10 8 5 6 7 9 8 5 4 6 5 4 5 9 8 4 4 3 4 7 9 6 3 3 5 7 7 9 12 12 6 3 6 9 9 5 7 11 13 13 6 3 3 5 7 5 3 12 23 24 12 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 3 3 3 2 2 2 2 2 2 3 3 2 1 2 2 3 3 3 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 4 5 5 4 4 5 5 5 4 4 4 3 4 5 10 15 18 21 20 16 12 11 11 7 6 6 5 4 4 5 3 2 5 8 8 7 8 8 5 6 5 5 13 15 12 11 10 8 5 2 2 3 3 5 10 14 18 15 7 0 -1 1 4 6 6 6 6 7 7 8 9 10 10 9 7 6 6 7 8 5 2 2 6 11 12 8 6 5 5 5 4 4 4 4 3 6 9 9 9 9 9 10 10 10 11 11 11 9 7 5 3 2 3 4 4 4 5 5 7 7 7 7 7 6 5 4 2 1 1 2 2 3 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 3 2 1 1 2 3 3 3 3 3 2 1 0 -1 -0 1 3 5 5 5 5 4 4 3 3 3 3 4 5 5 5 5 4 2 2 1 2 3 4 4 4 4 3 4 4 4 4 4 5 4 4 3 3 3 4 4 4 5 6 7 7 7 7 6 5 4 3 2 1 1 1 2 2 3 3 3 3 2 2 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 4 5 6 6 6 6 5 5 6 6 6 6 7 14 35 36 11 1 8 11 10 9 8 8 7 6 5 5 4 3 2 3 5 8 10 11 11 8 7 7 6 5 4 2 -1 -1 1 3 4 4 8 8 10 11 7 4 3 7 7 3 4 8 5 2 2 3 7 8 6 3 0 2 7 11 11 8 8 6 3 3 4 4 5 3 -0 3 6 8 11 11 9 6 4 5 6 6 6 10 14 15 14 6 3 3 4 6 7 6 9 18 27 19 5 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 3 4 4 3 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 4 3 3 3 3 2 2 2 3 2 2 2 2 2 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 4 4 4 5 5 4 4 4 4 4 4 5 9 13 17 19 18 16 17 16 18 19 15 8 7 10 10 9 12 17 15 12 19 17 10 11 8 7 13 15 11 7 6 4 2 1 2 2 4 7 11 15 18 14 6 0 0 2 5 7 6 6 7 7 7 7 8 10 10 10 7 6 6 7 8 6 2 2 5 10 10 7 5 4 4 4 4 4 4 4 4 6 8 9 8 7 7 8 9 10 11 11 11 10 9 8 6 5 4 4 4 4 5 5 5 6 9 9 8 7 6 5 3 2 2 2 2 3 3 4 4 3 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 5 5 5 4 4 4 3 2 2 3 3 3 3 3 3 1 -0 -1 0 1 2 4 5 5 5 4 3 3 2 3 3 4 4 5 5 5 4 3 2 2 2 4 4 4 4 4 4 5 5 5 5 5 6 4 3 3 3 3 3 4 4 5 6 7 7 7 7 7 5 4 3 2 1 1 2 3 3 3 3 3 2 2 3 3 3 2 3 3 3 3 3 4 3 3 3 4 3 3 3 4 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 10 20 34 22 -0 -3 5 10 10 8 6 6 6 6 5 4 4 3 3 3 5 7 10 11 11 9 7 6 5 4 2 -1 -2 1 3 2 6 10 5 2 5 9 8 6 6 10 7 1 2 4 6 7 4 2 3 5 8 7 5 5 9 12 10 7 10 11 11 5 2 4 5 7 1 1 5 6 7 6 4 4 6 5 2 -1 5 13 14 13 12 9 4 2 1 2 6 8 7 17 29 22 6 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 4 3 4 4 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 2 2 3 2 2 2 2 2 3 4 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 8 12 15 14 15 15 15 19 21 15 11 14 14 12 14 18 18 18 20 18 15 14 12 8 9 11 9 5 4 3 2 2 2 3 4 7 9 11 13 9 3 1 2 4 5 6 6 6 7 7 6 7 8 9 11 11 9 6 6 7 8 6 3 2 4 6 7 6 5 4 5 5 5 4 4 4 4 5 7 8 7 6 7 7 8 9 10 11 10 10 10 10 9 8 6 5 5 4 4 4 4 6 8 10 10 9 8 7 6 4 3 3 3 3 3 2 2 3 4 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 4 5 5 5 5 4 3 3 2 3 3 3 4 4 2 1 1 1 1 1 2 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 5 5 5 5 6 6 6 7 7 5 3 2 2 3 3 3 4 4 5 5 6 7 7 7 6 5 4 3 2 2 2 3 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 8 13 23 28 14 -2 0 5 9 10 7 5 5 5 5 4 4 4 4 4 3 5 7 9 11 11 8 6 5 4 3 -1 -3 0 4 5 1 4 10 7 7 6 4 4 4 7 11 6 -0 -1 0 3 9 7 4 3 4 7 11 13 11 9 8 5 4 5 10 15 10 5 6 7 8 4 5 6 0 2 2 3 5 7 8 3 -3 4 12 14 14 11 10 5 1 0 -1 4 8 6 18 30 19 5 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 2 3 2 2 2 2 2 4 4 5 6 6 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 6 9 12 15 14 14 14 11 11 11 10 12 11 11 10 9 10 8 8 8 8 7 6 5 4 3 2 3 4 6 7 7 6 4 3 3 3 4 5 5 6 6 6 6 5 6 7 8 11 11 10 8 6 6 7 6 4 3 3 4 4 5 6 6 5 5 5 4 4 4 5 5 6 6 6 6 6 5 7 8 9 10 10 10 10 11 12 12 10 7 5 4 3 3 3 4 6 9 10 10 9 9 8 6 5 3 3 3 2 2 2 3 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 6 4 5 5 6 6 6 4 3 2 2 2 3 4 4 4 4 3 2 1 0 1 2 2 3 4 4 4 3 3 3 3 3 3 3 4 5 5 5 4 3 4 5 6 6 6 6 5 6 6 7 8 7 4 2 2 2 3 3 4 4 4 4 5 5 5 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 6 7 7 6 5 6 6 6 7 11 17 24 24 7 -2 3 2 6 9 6 3 4 5 5 5 4 4 4 5 4 5 6 9 10 10 8 6 5 3 -0 -3 -1 4 7 5 -2 1 10 11 12 6 3 -2 -1 8 11 6 2 -2 -3 2 7 7 7 7 6 5 9 14 11 6 4 2 1 2 7 10 7 4 9 9 5 3 5 8 3 2 4 6 6 4 11 9 5 6 6 11 18 13 10 5 0 -2 -0 6 11 8 19 29 16 5 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 4 4 4 4 5 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 7 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 6 5 4 4 4 6 8 8 9 6 6 5 5 4 4 5 4 4 5 6 6 8 8 8 8 6 5 4 3 3 5 7 6 4 2 2 3 4 4 5 5 5 5 5 5 5 5 5 6 8 10 11 11 9 7 6 6 5 5 5 4 3 2 4 5 7 6 5 4 4 3 3 3 4 5 6 6 5 3 4 5 7 8 9 10 10 10 11 13 14 13 10 6 4 3 3 4 4 4 7 9 10 10 10 9 9 7 5 3 2 2 2 2 2 2 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 9 8 7 5 5 5 5 5 4 4 4 3 2 2 3 4 5 5 5 4 3 1 1 1 1 2 3 4 4 3 3 3 2 2 2 3 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 7 5 3 2 2 3 4 4 4 4 3 3 3 3 4 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 4 3 3 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 6 7 7 6 6 6 6 6 8 11 17 21 23 18 4 1 4 3 5 6 2 2 4 6 6 5 5 4 5 6 6 6 6 8 10 10 8 6 4 -0 -4 -3 1 5 5 1 -3 1 8 7 5 5 3 -3 -1 8 11 10 8 3 3 6 6 5 7 10 10 6 5 10 9 5 1 -0 0 2 5 5 -0 2 9 8 1 -4 -1 9 9 8 9 8 3 -0 8 13 11 10 8 11 19 19 11 5 -2 -6 2 13 15 9 17 29 17 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 3 3 3 4 4 4 3 4 6 7 6 5 5 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 3 3 3 4 4 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 2 3 3 3 3 3 4 4 5 4 5 5 6 5 5 5 6 6 5 5 4 4 4 5 5 5 4 3 3 3 4 4 3 4 4 4 3 3 3 3 3 3 4 5 6 8 8 8 8 7 5 4 4 6 7 6 4 2 2 3 4 4 4 4 4 4 4 5 4 4 4 5 6 8 10 11 10 9 6 5 5 6 6 5 3 2 2 3 5 5 5 4 3 2 2 1 2 4 6 6 4 2 3 4 5 7 8 9 10 10 10 11 13 14 12 9 6 3 3 3 4 5 5 7 9 10 10 10 10 8 6 3 2 1 1 1 1 2 2 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 6 6 5 4 4 4 4 5 4 3 3 3 4 5 5 6 5 4 3 2 2 2 2 3 4 4 4 4 3 2 2 2 3 3 3 3 4 5 5 5 5 5 6 6 6 6 5 5 6 7 8 6 3 2 3 3 4 4 4 5 4 3 2 1 1 3 4 5 6 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 3 3 2 3 3 3 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 7 8 7 6 5 6 7 9 13 18 22 20 17 11 3 5 7 5 3 -1 -3 -0 4 7 7 6 5 5 5 6 8 8 8 8 10 10 8 4 -0 -4 -3 -0 2 3 2 -2 -2 3 6 2 0 6 3 2 5 7 8 9 6 8 11 10 3 1 5 10 12 8 4 5 6 4 1 1 2 3 3 2 1 6 9 9 5 -6 -4 11 13 9 11 8 -1 -1 2 6 11 16 15 11 20 27 15 2 -6 -7 5 15 12 8 17 29 19 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 3 4 4 4 4 3 3 4 6 7 7 6 6 5 5 5 5 4 4 3 3 3 4 4 5 4 4 4 4 4 4 5 6 6 7 7 7 7 6 6 5 5 4 4 4 5 5 5 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 5 7 8 8 8 8 6 5 5 5 6 5 4 3 3 3 4 4 4 3 2 1 3 4 4 4 3 4 5 7 8 10 11 10 7 5 5 5 6 6 5 4 2 2 3 4 5 4 4 3 1 -0 -0 2 5 5 5 3 3 3 4 5 7 8 9 10 10 10 11 13 13 11 7 5 3 3 4 4 5 6 8 9 10 10 9 7 5 3 1 0 1 2 2 2 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 4 3 3 3 4 4 4 5 5 4 4 3 3 2 3 3 3 3 4 4 4 4 5 5 6 6 5 5 5 5 7 8 7 4 3 3 4 4 5 6 5 4 3 2 1 1 2 3 4 4 4 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 7 8 7 6 5 7 9 15 24 28 22 14 10 4 5 10 9 1 -7 -10 -7 -1 5 8 8 6 6 6 6 7 9 10 10 9 10 11 9 2 -4 -4 1 2 1 2 4 5 1 -3 -3 0 4 4 1 5 12 8 3 3 3 7 7 6 4 5 5 9 12 11 6 3 2 3 4 5 6 5 5 5 7 8 5 6 8 -3 -4 13 17 7 8 5 -3 3 4 3 6 11 12 12 25 32 17 2 -7 -6 6 12 6 6 18 31 21 6 5 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 3 3 3 5 7 8 7 5 5 5 5 5 5 5 4 3 4 4 5 4 4 4 4 4 4 5 6 6 7 7 8 7 6 5 5 5 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 6 7 7 8 7 6 5 5 4 4 4 4 4 4 4 4 4 3 0 -2 1 3 3 3 3 3 4 5 7 9 10 10 8 7 5 4 5 6 7 6 4 2 2 3 5 5 5 4 2 0 -0 1 3 5 4 4 3 2 2 3 5 6 8 10 10 11 11 11 12 11 9 6 5 4 4 4 4 6 7 8 9 10 9 7 5 3 2 1 1 2 3 3 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 4 4 5 5 5 5 5 5 6 7 7 6 5 5 5 6 6 6 5 4 4 3 4 4 5 6 6 5 5 4 3 3 3 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 7 8 7 5 4 3 3 4 5 6 6 5 4 3 2 3 4 3 3 4 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 7 8 7 6 7 9 14 26 35 31 15 3 5 8 15 14 4 -9 -16 -14 -6 3 7 8 7 6 6 6 6 8 10 12 10 9 10 11 9 2 -4 -2 4 4 1 1 3 7 10 6 1 3 5 0 -1 7 17 11 6 4 5 10 5 3 9 9 8 9 11 12 9 6 3 0 3 7 7 6 7 7 8 9 7 6 7 1 -2 13 20 5 3 4 -2 5 6 3 4 6 7 14 30 32 17 2 -4 -1 8 9 3 4 15 32 25 6 4 4 4 4 3 4 4 4 4 5 4 5 4 4 4 3 4 3 3 4 4 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 6 7 7 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 7 8 8 7 6 5 4 4 4 3 3 3 4 4 4 4 4 3 3 4 4 3 4 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 4 5 6 7 8 8 7 7 6 5 4 3 4 4 5 4 3 3 5 4 -1 -1 2 2 3 3 3 3 4 6 7 9 10 9 8 6 5 5 5 6 7 6 4 2 2 4 5 5 5 4 3 2 2 3 4 4 4 3 2 2 2 3 4 7 9 10 10 11 11 11 10 9 8 7 6 5 4 4 5 7 7 8 9 9 8 6 5 5 4 4 4 4 4 4 4 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 3 3 3 3 4 4 4 5 5 6 6 7 7 7 6 5 6 6 6 6 6 5 4 4 3 4 4 5 6 6 6 5 4 4 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 5 6 8 8 6 4 3 3 3 4 5 6 7 6 5 5 6 6 6 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 5 5 4 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 5 6 5 5 5 5 5 5 6 8 8 7 7 9 13 22 34 34 23 7 -7 -0 12 8 1 -9 -16 -15 -8 0 6 8 7 6 5 6 7 7 10 12 12 10 9 10 13 11 4 0 2 5 5 4 5 4 2 5 10 9 6 4 1 2 9 17 16 15 10 9 11 8 2 3 7 10 9 9 10 9 10 6 -0 3 8 7 5 5 5 4 5 7 6 7 5 2 12 13 2 -2 -1 -3 5 4 0 4 9 6 16 32 30 13 0 -2 5 11 9 5 3 13 29 24 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 3 4 4 4 4 5 4 4 3 3 2 4 5 6 6 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 6 5 5 4 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 3 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 4 5 5 4 4 5 5 4 5 5 5 5 4 4 3 4 4 3 3 3 3 4 4 5 6 7 7 8 8 7 7 5 4 3 4 4 3 2 2 7 9 3 -1 1 2 2 2 3 3 3 4 6 7 8 9 9 8 7 5 5 5 6 6 5 4 3 3 4 5 5 5 4 4 3 3 4 5 4 4 3 2 2 2 3 5 7 9 10 11 11 10 10 9 9 9 8 7 6 5 6 6 6 7 7 8 9 9 8 7 6 5 5 5 4 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 4 3 2 3 3 3 3 4 5 6 7 7 7 7 7 7 7 6 6 6 6 6 5 3 3 3 4 5 6 6 6 6 6 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 5 6 8 8 6 4 2 2 2 3 5 6 7 7 7 8 8 7 7 6 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 5 5 5 4 4 5 5 5 5 5 6 6 6 6 5 5 5 7 8 8 8 9 13 18 24 26 22 14 3 -7 -6 -3 -18 -21 -16 -12 -5 2 6 7 7 5 4 5 6 7 9 11 14 12 9 9 10 12 11 6 5 6 6 9 9 8 8 7 3 -1 -3 -1 3 4 7 11 17 22 20 12 10 9 7 1 -0 7 10 6 6 7 6 7 6 5 7 7 7 6 2 -1 -1 0 6 10 10 8 7 12 11 2 -3 -7 -5 7 8 3 4 5 3 18 34 28 10 -1 0 8 13 11 6 5 15 26 19 6 5 5 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 3 2 2 3 5 5 5 5 5 4 4 3 3 3 4 4 4 5 4 4 5 5 5 5 6 6 6 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 4 4 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 5 5 6 7 8 8 8 8 7 5 4 4 3 2 1 4 10 10 5 2 2 2 2 2 2 3 2 3 4 5 7 8 9 9 8 6 4 5 5 5 5 5 5 3 3 4 5 5 5 5 4 4 4 4 5 4 4 3 3 3 3 4 5 7 9 10 11 11 11 10 10 11 12 11 9 7 6 5 6 6 6 6 7 8 9 9 8 6 6 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 4 3 3 2 2 3 4 5 6 7 8 8 8 8 7 7 7 6 6 6 6 6 5 4 4 5 5 6 6 6 7 7 6 6 5 5 5 5 5 5 5 4 4 3 3 3 2 3 4 6 8 8 6 4 2 1 2 2 3 5 6 6 7 8 7 7 6 6 7 7 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 2 3 2 2 2 2 2 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 7 9 9 10 11 14 17 19 17 11 8 6 2 -4 -8 -14 -20 -17 -7 -0 5 7 7 6 5 4 4 5 6 8 10 12 14 12 10 8 9 8 8 8 7 9 6 10 10 5 5 7 2 -1 -5 -4 0 7 9 10 16 22 17 10 9 10 6 3 8 13 7 3 4 4 2 -1 4 16 15 8 8 6 -1 -4 -2 1 8 9 7 9 10 11 15 14 8 -4 -4 3 10 8 4 3 10 24 31 21 6 -0 3 9 12 11 6 6 16 26 17 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 2 2 3 3 5 5 5 5 5 4 4 4 4 4 4 5 5 6 5 5 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 5 5 5 6 5 4 3 3 3 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 3 3 3 4 4 4 4 6 7 7 8 8 9 8 7 6 4 3 2 2 6 10 9 6 4 3 2 2 2 2 3 2 2 3 4 5 7 8 9 10 8 6 5 5 5 5 5 6 5 4 4 4 5 5 5 5 4 3 3 4 4 4 4 4 3 4 4 4 5 7 10 11 13 13 12 12 12 14 14 12 9 7 5 5 6 5 5 5 6 8 8 7 5 4 5 5 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 3 2 2 3 4 5 6 7 8 8 8 8 8 7 7 6 6 7 7 7 6 6 5 5 5 5 5 5 6 7 7 7 6 5 5 5 4 5 6 6 5 5 4 2 2 3 4 5 7 8 8 5 3 1 1 2 3 3 4 5 5 5 5 5 5 6 7 7 7 7 6 6 5 5 4 4 5 5 5 5 5 5 5 4 3 3 3 2 2 2 2 2 3 3 3 4 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 10 13 11 13 15 14 14 14 10 3 2 5 5 4 -1 -3 -2 1 5 8 9 8 7 6 5 4 4 5 7 8 9 11 13 14 13 10 9 6 5 6 5 8 7 6 6 2 4 2 -1 -0 -0 -1 3 11 9 8 12 12 9 8 8 9 7 9 13 14 7 3 4 5 2 -4 4 17 16 10 9 6 -1 0 3 4 6 2 0 7 11 11 15 16 13 6 2 -2 10 15 12 11 18 24 21 10 2 -0 3 8 11 8 5 7 18 27 17 5 5 5 5 4 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 3 4 4 4 4 4 4 3 2 1 2 3 5 5 5 5 5 5 5 4 3 3 4 6 6 6 6 5 6 5 5 4 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 5 5 6 6 5 4 3 2 2 3 4 4 3 3 3 3 3 4 4 4 5 4 5 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 3 4 4 4 4 5 6 7 8 8 9 8 8 7 5 4 4 5 6 5 5 7 7 5 3 2 2 2 3 3 2 2 3 3 5 6 7 9 10 9 7 7 6 5 5 5 5 5 4 4 4 5 5 5 4 3 2 3 5 5 5 4 4 3 3 3 4 5 7 10 13 14 14 14 14 14 15 13 9 7 6 5 6 5 5 5 6 6 6 5 3 2 3 4 5 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 7 6 5 3 3 3 3 4 5 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 5 4 4 5 6 6 6 6 5 5 4 4 4 5 6 7 6 5 4 4 4 3 4 5 7 8 6 4 2 1 1 2 2 3 3 3 3 3 3 4 4 6 7 8 7 7 7 6 5 5 5 5 5 5 5 6 5 5 5 5 5 4 3 2 2 2 2 2 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 5 5 5 5 6 7 12 16 13 13 12 9 9 11 9 5 12 18 14 12 10 10 10 9 10 10 10 9 6 5 4 4 5 6 8 8 9 11 15 20 20 16 11 5 2 3 6 8 6 4 4 4 5 7 9 9 3 1 7 11 6 4 5 2 1 3 3 6 11 11 9 9 8 5 6 7 7 3 7 11 11 8 8 4 2 6 6 4 4 3 2 4 8 10 9 6 4 10 11 -2 5 19 23 19 17 15 7 -1 0 1 2 8 11 8 5 8 20 25 14 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 2 2 3 4 4 5 5 5 5 5 4 3 3 4 5 7 6 6 5 5 4 4 4 3 2 2 2 1 2 2 3 3 4 4 4 4 5 4 4 4 4 5 6 7 6 4 3 2 2 2 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 6 7 7 6 6 5 5 4 4 4 3 3 4 3 3 3 4 6 8 9 9 9 9 8 8 8 6 6 7 6 3 0 4 9 8 5 3 3 3 2 2 2 2 2 2 3 5 6 7 9 9 9 8 8 6 6 5 6 6 5 5 5 5 5 5 4 3 3 3 3 4 5 5 4 3 3 3 3 3 5 8 10 13 15 17 16 14 14 12 9 8 7 6 7 7 6 6 6 6 6 5 2 1 1 2 4 5 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 6 7 7 6 5 3 3 4 4 4 4 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 5 4 4 4 5 5 5 5 3 3 3 3 4 5 7 7 7 6 6 6 4 2 3 4 6 6 5 3 2 1 1 2 2 2 2 2 2 3 3 3 5 5 7 7 7 7 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 4 4 3 2 2 2 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 5 4 4 4 5 5 6 7 9 15 18 14 9 6 6 8 10 10 13 23 24 14 9 10 11 11 11 11 11 10 9 7 5 4 4 5 7 8 8 10 14 19 23 21 16 9 3 1 3 8 9 6 3 5 6 4 9 17 19 9 5 11 6 -1 0 1 -0 -0 -0 -1 4 12 9 2 3 8 7 7 11 11 10 11 13 11 7 4 0 3 8 9 2 0 6 7 5 11 11 3 2 3 8 15 1 -5 9 26 25 14 3 -7 -7 0 1 4 11 11 8 6 8 17 25 15 5 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 2 3 4 6 6 5 5 4 4 3 3 3 3 3 2 2 2 2 3 3 3 4 5 5 5 5 4 4 3 3 4 6 7 6 4 3 2 2 2 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 5 5 5 6 6 5 6 5 5 4 4 4 5 6 7 8 8 7 7 6 5 4 4 3 3 3 3 2 2 3 6 8 9 9 8 8 8 8 9 8 7 7 6 3 -0 3 9 9 7 4 4 3 3 3 3 2 2 1 2 3 4 6 7 8 9 9 9 8 7 6 6 6 6 5 6 6 5 5 5 4 4 4 3 4 6 7 6 4 2 2 2 3 4 6 8 11 14 17 19 17 15 12 9 7 6 7 8 8 7 6 7 7 7 7 5 3 3 3 3 4 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 5 6 7 7 6 5 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 5 4 4 4 4 4 4 2 2 2 3 3 5 6 6 7 9 9 8 4 2 2 3 4 5 6 5 4 2 2 1 2 2 1 1 1 2 2 3 3 4 4 5 7 6 6 6 6 5 5 4 5 5 5 6 6 7 7 7 7 6 6 5 4 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 8 10 14 19 18 12 6 5 7 9 10 7 13 15 7 -3 -1 5 8 10 10 10 10 9 8 7 6 5 4 5 7 9 10 13 18 20 19 16 11 8 5 3 2 7 9 7 7 7 6 6 7 11 12 6 7 19 7 -2 2 3 2 6 6 0 3 12 6 -3 0 7 9 9 12 14 12 8 12 15 8 1 -3 3 8 7 -0 -0 8 9 11 17 8 -3 4 11 12 13 5 -4 5 28 23 8 -7 -13 -3 3 3 8 12 9 7 6 6 13 25 21 6 4 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 5 6 5 4 3 2 2 2 2 3 3 2 2 2 3 3 3 3 4 5 6 6 6 5 5 4 2 2 4 7 7 5 3 2 2 2 3 3 3 3 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 5 6 7 9 9 9 9 8 6 5 4 3 3 2 2 2 1 4 6 8 9 8 8 8 8 8 9 9 8 6 4 3 4 6 8 8 7 7 5 5 5 4 4 3 2 2 1 2 3 4 6 7 8 9 9 8 7 6 6 6 5 5 6 6 6 6 5 5 5 5 4 3 4 8 8 6 3 2 2 2 4 5 7 9 12 16 20 21 18 13 8 6 7 8 8 8 7 6 6 7 9 9 8 7 7 6 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 6 6 6 6 6 5 4 4 3 2 2 2 3 4 4 4 4 4 4 4 3 3 3 4 5 5 5 6 6 6 5 5 4 4 4 4 3 2 2 2 3 4 4 5 6 8 10 8 5 4 3 4 4 4 5 5 5 4 3 2 2 2 2 1 0 1 1 2 2 3 3 4 5 5 5 5 5 5 5 5 5 4 5 6 6 7 7 8 8 8 8 7 6 5 4 4 4 3 2 2 2 2 2 3 3 3 3 3 4 4 5 4 4 4 5 6 6 10 16 18 17 13 8 5 6 8 10 9 3 6 -0 -14 -13 -2 5 7 9 9 9 8 8 8 7 6 5 4 5 8 10 11 16 20 17 12 11 9 9 8 6 5 6 6 7 11 10 8 6 -3 -6 -2 5 10 19 5 1 6 4 6 13 11 4 10 14 5 -2 4 9 12 10 8 11 13 9 8 9 5 2 1 7 10 3 -1 4 7 8 13 13 2 -1 5 10 13 12 15 8 18 29 19 1 -17 -14 8 16 16 16 13 8 6 5 5 12 24 23 9 4 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 3 2 1 1 1 2 2 3 3 3 3 3 3 3 4 4 4 6 8 8 6 5 4 3 3 5 8 7 4 3 2 2 3 3 3 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 4 5 5 5 5 6 7 8 10 11 12 11 10 8 6 4 3 2 2 0 -0 1 4 8 9 8 8 7 7 7 7 9 11 11 7 3 4 7 9 9 9 8 8 8 8 7 5 5 4 3 2 1 2 2 3 4 5 7 8 9 9 8 7 6 5 5 5 6 6 6 6 6 6 7 7 6 4 3 6 8 7 4 3 2 2 3 5 6 7 9 12 16 20 19 14 10 7 6 7 7 7 5 3 4 6 7 8 9 10 9 9 7 6 5 5 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 5 5 6 6 5 5 4 4 3 2 2 1 2 3 3 3 4 4 4 3 4 3 3 3 3 3 4 5 6 6 6 6 5 5 5 5 5 3 2 2 2 3 4 4 5 7 8 7 6 5 5 5 5 5 4 5 5 5 4 3 2 2 2 1 0 1 2 2 2 2 3 3 4 4 5 5 5 5 4 4 4 4 5 6 6 7 8 8 8 8 8 7 6 6 5 5 4 4 3 2 2 3 3 3 3 3 3 4 4 5 5 4 4 5 6 7 7 10 17 17 12 9 8 7 7 8 8 5 1 -1 -4 -14 -5 5 7 7 7 7 6 7 7 8 8 7 5 4 5 8 10 13 18 18 13 9 9 6 5 6 7 9 7 4 6 8 8 8 3 -8 -11 -5 3 17 12 -3 1 4 3 10 19 13 6 10 7 3 8 12 10 9 5 2 8 14 14 7 3 -2 2 6 9 10 2 3 3 -1 4 10 6 3 7 10 9 4 8 19 14 26 28 15 -7 -24 -11 19 32 32 24 15 9 7 5 5 11 23 24 11 4 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 4 3 2 2 2 3 4 3 3 4 4 4 3 3 3 3 3 4 6 9 10 7 5 4 3 5 7 7 5 3 2 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 9 11 13 14 13 11 9 7 5 4 2 1 -0 -1 1 5 8 9 8 7 6 6 6 7 9 11 13 10 6 7 9 9 9 8 8 9 9 10 10 8 6 5 4 3 2 1 2 3 3 4 5 6 8 8 8 8 7 6 5 5 5 5 6 6 7 7 7 7 7 5 3 3 5 8 6 4 3 3 3 4 6 6 7 9 13 16 16 14 10 7 6 5 5 5 3 0 1 3 3 5 7 9 9 9 8 7 6 6 5 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 7 6 5 5 6 5 5 4 3 3 2 2 1 1 2 2 3 4 4 4 4 4 4 3 3 3 3 3 3 4 6 6 6 6 6 6 6 7 6 3 2 2 3 3 4 5 6 6 6 7 6 6 6 6 6 6 5 6 5 5 4 3 3 2 1 1 2 2 2 2 2 3 3 3 3 4 4 4 5 4 4 4 4 5 6 7 8 9 9 9 9 8 7 7 6 6 6 5 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 4 5 7 8 7 7 14 16 10 9 9 8 8 9 8 3 2 3 2 -1 4 7 6 5 5 5 5 6 8 9 8 7 5 5 6 9 13 17 20 16 10 8 7 4 1 2 7 14 14 10 8 4 4 4 2 0 2 -2 -1 10 1 -5 3 4 2 13 23 12 4 -0 -4 7 20 15 7 1 -1 1 7 8 9 8 5 -2 1 7 9 11 4 1 -3 -3 4 6 2 4 10 11 7 1 7 13 11 25 28 12 -10 -18 0 22 33 33 24 14 9 7 5 4 9 21 26 15 4 5 6 6 6 5 5 6 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 4 3 4 5 5 4 4 3 3 2 3 5 6 7 6 6 5 5 4 3 3 3 2 3 6 10 11 8 5 4 4 5 6 6 4 2 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 13 16 15 11 8 7 6 5 4 2 1 0 -0 2 6 8 8 8 6 5 5 5 6 7 10 13 11 9 8 8 7 7 7 7 8 9 10 11 11 9 7 6 5 3 2 2 2 3 3 4 5 7 7 8 8 7 6 5 4 4 4 5 6 6 6 7 7 7 6 3 2 3 5 6 6 5 4 3 4 6 6 6 7 10 11 13 13 11 10 7 4 3 2 1 -1 -1 1 2 2 4 6 8 8 8 7 6 8 7 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 9 9 7 6 6 5 5 4 4 4 3 2 2 1 1 2 2 2 3 4 5 5 5 5 4 3 2 2 2 2 3 4 5 6 6 6 6 8 8 7 5 3 3 3 4 5 6 6 6 6 6 6 6 6 7 7 8 8 8 7 6 5 4 3 2 2 3 3 4 4 3 3 3 2 3 3 3 4 4 4 4 4 4 4 5 6 7 8 9 9 9 9 8 8 7 7 7 6 6 5 5 5 5 4 4 4 4 5 5 5 5 6 6 5 5 6 8 8 6 6 11 16 14 10 9 9 9 10 7 2 6 10 8 5 6 5 4 3 3 4 4 7 10 11 9 7 7 7 8 13 19 23 20 14 8 8 7 5 4 3 4 9 10 10 9 5 1 -0 3 10 13 9 8 3 -5 -1 4 4 2 9 12 5 6 2 -2 8 15 11 5 -1 -2 7 11 5 5 10 5 1 0 6 7 8 5 0 1 4 3 -4 -5 3 9 8 2 1 4 3 9 26 30 14 -5 -5 9 18 21 21 17 12 8 6 3 3 10 23 29 16 4 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 3 2 2 4 6 9 11 10 8 6 5 4 3 3 2 1 2 6 10 11 8 5 4 5 6 5 4 2 2 4 4 5 5 5 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 11 14 17 18 15 8 4 3 4 5 4 3 2 1 2 4 7 8 8 7 6 5 4 4 4 5 7 9 9 8 7 6 5 6 6 6 7 8 9 10 11 10 9 8 6 5 4 3 2 3 3 3 4 5 7 7 8 8 6 5 5 4 3 4 5 5 5 5 6 7 7 5 2 1 2 5 7 7 5 4 4 5 6 5 6 7 8 10 12 13 14 12 8 6 4 1 -1 -1 1 1 1 3 4 6 8 7 7 7 8 8 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 9 7 6 6 6 5 5 5 5 5 4 3 3 3 3 2 2 2 3 4 5 5 4 5 4 3 2 1 2 3 3 4 6 6 6 7 8 8 7 5 4 4 4 5 5 5 6 6 5 5 5 5 5 6 8 10 10 10 9 8 6 4 3 2 2 3 4 4 4 5 5 4 4 3 2 2 3 4 4 4 3 3 3 4 5 6 7 8 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 5 5 5 6 6 5 6 6 6 5 6 8 8 7 6 6 8 18 19 11 9 9 9 9 1 1 12 14 8 5 4 2 2 2 2 4 6 8 10 9 9 10 10 10 13 18 22 21 16 11 7 7 5 5 6 4 7 6 7 7 6 3 -1 0 6 11 8 7 11 13 11 9 5 2 1 2 -2 2 11 13 9 13 13 12 7 -1 -1 12 18 12 9 10 3 0 3 8 7 5 1 -5 6 17 9 -7 -6 3 7 2 -1 2 2 -1 10 26 29 17 4 4 12 16 14 13 11 9 7 5 2 2 12 25 22 9 6 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 3 2 3 4 4 4 5 4 2 2 3 5 7 9 11 12 10 8 6 5 4 3 2 1 2 5 9 10 8 6 5 5 4 3 2 3 4 5 5 5 5 5 4 4 4 5 5 5 5 4 5 5 5 5 6 6 6 6 7 7 7 8 9 9 10 10 10 10 11 12 12 14 17 20 19 13 7 4 2 2 3 4 5 3 3 4 6 8 7 7 6 6 5 4 4 4 4 5 6 7 5 4 4 4 5 5 5 6 6 7 8 9 10 10 10 9 7 5 3 2 2 3 3 3 4 6 7 7 7 7 6 5 4 4 4 4 5 5 4 5 6 6 6 4 2 1 3 6 7 6 5 4 4 4 4 4 4 6 9 11 13 17 20 19 15 10 4 2 1 1 1 1 2 3 6 7 7 7 8 9 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 7 6 5 4 4 3 3 3 4 4 5 6 6 5 4 3 2 2 3 5 5 6 6 6 7 8 7 6 4 4 5 5 5 5 5 5 5 4 3 3 4 5 8 10 11 11 10 10 8 6 4 2 3 3 3 3 4 5 5 6 7 5 3 2 2 3 4 4 3 3 3 3 4 5 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 6 5 6 8 8 8 6 5 5 10 22 22 11 8 8 8 5 -3 1 11 11 6 4 3 2 2 2 3 5 6 7 9 8 10 13 11 11 15 17 18 13 10 8 8 6 4 2 2 4 7 8 7 6 5 2 2 4 7 5 0 2 4 8 17 18 11 3 -1 -1 -3 5 13 14 13 20 19 17 8 1 4 14 17 14 10 8 0 -2 6 10 8 3 -3 -4 8 24 13 -1 0 4 -2 -5 1 2 -0 3 14 21 19 13 11 13 15 16 13 10 8 7 7 4 1 2 10 16 12 6 12 14 9 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 3 4 4 4 4 3 2 1 1 4 6 7 7 9 11 10 8 6 5 4 4 2 1 1 4 7 9 9 7 6 5 3 2 2 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 9 10 11 12 13 13 13 14 15 15 15 17 19 19 15 9 6 5 4 3 3 4 5 4 4 6 7 7 6 6 6 6 5 5 5 5 6 5 6 6 5 3 3 4 5 5 5 5 5 5 6 7 8 10 10 10 8 6 4 2 2 3 3 3 3 5 6 7 7 7 6 5 5 5 4 4 5 4 4 4 4 6 7 6 4 2 1 3 5 6 6 5 3 3 4 4 4 4 6 7 10 15 23 28 27 20 11 5 3 3 3 2 2 3 5 7 7 7 7 8 8 7 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 6 6 5 5 5 6 6 8 9 10 10 9 8 7 6 5 4 4 6 7 6 6 7 9 9 8 6 3 2 3 5 6 6 6 6 7 7 7 6 5 4 4 4 4 4 4 4 3 3 3 3 3 4 6 8 10 11 12 12 11 8 5 3 2 2 2 2 3 5 5 7 8 7 5 3 2 2 3 3 3 3 3 3 3 4 4 5 6 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 7 9 8 7 5 5 7 14 23 21 11 8 7 6 5 4 8 6 5 4 3 1 1 2 3 4 5 5 6 7 11 15 12 10 13 12 11 12 10 8 7 7 5 3 -0 1 7 5 3 6 6 4 4 4 8 8 4 9 9 -1 0 12 15 11 5 -0 1 3 8 12 12 9 9 14 13 9 8 12 14 10 6 5 3 -2 1 9 7 6 8 4 5 15 20 9 3 3 1 -4 -3 3 2 0 8 15 13 9 8 14 17 17 14 11 8 6 8 8 5 1 2 6 9 8 8 15 23 16 7 6 7 7 6 5 4 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 4 4 4 5 4 4 3 2 1 1 2 4 6 5 5 7 9 10 8 6 5 4 5 4 2 1 2 4 6 7 7 6 5 3 2 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 7 7 8 9 11 12 14 15 16 17 17 18 17 17 16 16 15 13 9 6 6 6 6 5 4 4 2 3 4 8 8 6 6 6 6 6 6 6 6 6 7 8 8 7 6 5 4 5 5 5 5 5 6 6 6 7 8 8 9 9 9 8 6 4 3 2 2 2 2 4 5 6 6 7 7 6 5 5 5 5 5 5 5 3 4 5 6 6 5 2 1 2 4 6 7 6 5 3 3 3 4 4 4 5 7 11 18 28 34 29 17 9 5 5 5 4 4 3 4 6 6 6 6 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 4 4 4 5 5 5 4 4 4 4 5 6 7 8 8 8 8 9 8 8 7 8 12 13 11 9 9 11 13 14 12 8 5 4 5 5 5 6 6 6 6 6 6 5 4 4 3 4 4 4 4 3 2 2 2 2 3 4 7 8 10 11 12 12 10 6 4 2 2 2 3 3 4 5 6 8 8 5 3 2 2 2 2 3 3 2 2 2 3 3 4 5 6 6 6 6 5 5 5 6 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 8 9 8 5 4 5 9 17 24 19 11 8 7 7 10 20 21 6 2 2 2 1 1 1 3 4 5 5 6 10 18 20 10 10 14 9 10 13 10 7 6 2 -1 -2 -0 7 10 4 4 9 7 4 4 5 9 9 11 22 10 -3 6 11 5 4 4 4 7 9 12 12 9 5 -2 1 2 7 9 12 12 6 0 -2 -2 -0 10 17 10 8 11 5 5 12 7 6 10 7 -0 1 5 6 6 8 12 13 7 4 7 13 18 17 13 10 6 4 7 8 4 2 3 6 7 7 8 15 26 21 8 7 7 7 6 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 4 4 5 6 6 7 7 6 6 5 5 4 4 5 5 4 3 3 2 1 2 3 4 4 3 4 6 8 9 8 6 6 5 5 5 3 2 2 2 3 5 6 6 5 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 9 11 13 15 17 18 18 19 20 19 18 15 13 11 6 2 1 4 7 6 6 6 5 5 2 2 6 9 7 6 6 6 6 7 7 7 7 7 8 9 10 10 9 7 5 5 5 6 6 6 6 7 7 7 7 7 8 9 10 10 9 8 6 5 4 2 2 2 3 5 5 6 7 6 5 5 4 5 5 6 5 4 4 4 5 5 5 3 2 1 2 4 6 7 6 5 3 3 4 5 4 5 6 7 11 20 29 27 18 10 9 9 9 8 6 5 4 5 6 5 5 4 3 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 4 4 4 4 3 3 3 4 4 4 5 5 6 8 9 10 10 10 12 15 16 13 10 9 10 13 16 16 11 7 5 5 5 5 5 5 5 6 6 5 5 5 4 3 3 3 3 3 2 2 2 1 2 2 3 5 6 8 10 12 12 10 7 5 4 3 3 3 3 4 5 6 7 7 6 4 3 2 2 2 3 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 5 6 8 9 9 6 4 4 7 12 19 24 18 10 7 7 11 16 24 18 4 -0 1 2 1 1 1 2 4 5 6 9 17 21 17 10 11 11 11 15 17 13 9 7 2 -2 -5 3 13 12 4 6 9 8 3 3 4 7 8 16 24 9 0 7 1 -4 1 5 10 13 12 12 8 1 -1 -3 -2 1 4 4 9 13 11 4 -0 -0 4 16 21 12 7 7 3 2 1 -2 4 14 12 4 4 8 9 10 11 12 8 2 3 9 13 17 16 13 9 5 4 6 6 3 2 5 7 6 7 9 14 25 23 10 7 7 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 7 7 6 5 4 4 5 5 4 4 3 2 2 3 4 4 4 2 2 3 5 7 8 8 7 6 6 6 6 5 3 3 2 2 3 4 5 5 5 6 7 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 6 5 6 6 6 6 7 8 10 12 14 16 18 19 20 19 19 17 15 13 11 4 -1 -4 -2 4 6 6 6 6 5 5 5 3 6 8 6 6 6 6 7 7 6 7 7 7 8 9 10 11 10 8 6 5 6 7 6 5 7 8 8 8 8 8 9 10 11 11 11 11 11 10 8 5 3 2 2 3 4 5 6 6 5 4 4 4 5 5 5 5 4 4 5 5 4 4 3 2 3 3 5 7 8 6 5 4 4 5 5 5 5 5 7 12 16 18 14 11 12 15 15 13 10 8 6 5 5 4 3 2 1 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 3 3 2 2 2 3 3 4 4 4 5 6 8 9 10 11 10 12 12 11 9 8 7 7 9 13 16 13 7 4 4 5 5 5 5 5 5 6 5 5 5 4 3 3 3 3 3 2 1 1 1 1 1 2 3 5 7 8 10 10 9 7 6 5 4 4 4 4 4 5 6 6 6 6 5 3 3 2 2 2 2 3 2 3 3 3 2 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 7 9 10 8 4 3 5 9 16 24 25 17 8 4 8 14 11 8 3 -1 -2 0 1 1 1 1 3 5 5 6 11 19 19 11 8 7 8 13 17 16 14 10 8 8 4 -1 3 8 12 6 2 2 6 5 3 4 3 9 15 16 4 6 2 -6 -3 4 8 14 16 12 8 2 -6 -6 1 5 7 3 4 10 18 19 11 4 2 6 12 15 8 2 2 4 4 -2 -2 2 7 9 7 6 9 10 11 10 7 0 -2 5 10 13 15 14 12 9 7 6 6 4 1 2 7 8 7 6 8 14 24 24 12 6 7 7 7 7 6 5 5 5 5 4 5 5 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 6 5 5 4 4 4 5 4 4 3 3 3 4 4 5 4 3 1 2 4 6 7 7 8 8 7 7 6 5 5 4 3 3 3 4 6 6 6 7 7 7 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 6 7 8 9 11 12 14 16 17 19 19 17 15 13 11 11 11 6 0 0 3 5 6 7 7 6 6 6 5 2 6 7 5 6 6 6 6 6 6 6 6 7 7 7 8 9 9 8 6 5 6 9 7 3 6 8 9 8 8 8 9 11 12 13 13 14 16 16 13 8 6 5 4 3 3 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 3 4 6 8 7 6 5 5 5 5 5 4 4 5 6 8 9 10 11 15 19 21 19 14 10 7 4 4 3 3 3 1 1 2 2 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 2 2 2 1 2 2 3 4 5 5 5 5 6 7 8 9 9 10 9 6 5 5 6 6 7 9 13 12 7 3 2 4 5 5 5 6 7 7 6 5 4 4 4 4 4 4 3 3 2 1 1 1 1 1 2 3 5 6 7 8 8 7 7 6 5 5 5 4 5 5 5 6 6 6 5 4 4 3 3 2 2 3 3 2 3 3 2 2 3 3 4 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 6 8 10 9 6 2 3 8 17 27 33 26 14 6 1 3 6 -0 -5 -3 -0 -1 0 1 1 1 2 3 5 6 6 10 17 16 11 8 7 7 8 10 12 12 9 8 12 8 3 2 5 11 9 2 -0 2 5 4 3 4 11 13 2 -2 5 1 -1 4 9 10 13 14 10 5 -1 -7 -7 1 8 10 7 9 14 18 21 9 -1 -0 4 8 9 5 1 2 3 6 5 1 4 5 2 3 7 9 12 11 8 3 -1 4 10 10 12 12 11 11 10 9 8 7 3 1 3 7 8 7 5 7 16 27 24 11 5 6 7 7 7 7 6 5 5 5 5 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 6 6 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 2 2 4 4 5 6 8 9 8 7 7 7 7 6 6 5 5 6 6 7 7 7 6 6 6 6 5 6 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 7 8 10 11 13 13 14 16 17 15 13 10 8 8 10 13 12 8 7 6 6 7 7 7 7 6 7 7 4 4 5 4 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 7 6 6 7 7 5 6 8 8 8 8 8 8 9 11 12 13 16 19 19 17 13 9 7 5 3 2 4 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 5 5 5 5 4 3 2 3 5 7 8 10 14 18 22 21 16 11 7 4 4 4 4 4 2 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 2 1 0 1 1 2 3 4 5 5 4 4 4 5 6 7 8 9 9 6 5 5 6 6 6 8 11 12 8 3 2 3 4 4 5 10 14 12 8 5 4 5 5 5 6 6 5 4 4 3 2 1 1 1 2 3 4 5 7 8 8 8 7 6 5 5 5 5 5 5 5 5 6 6 6 5 4 4 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 10 11 8 4 3 9 18 27 37 35 19 6 2 -3 -6 -6 -9 -6 -1 0 0 0 0 1 1 2 4 6 6 6 8 13 17 16 14 11 8 5 5 7 9 8 8 11 10 8 4 9 12 12 12 8 2 2 1 4 9 12 8 -2 3 7 -1 2 5 7 8 8 7 6 3 -1 -5 -6 -0 7 9 9 16 15 8 11 9 9 7 5 3 3 1 2 6 3 5 13 8 9 12 0 -1 6 9 8 11 6 0 7 18 16 9 10 10 8 8 9 8 8 8 5 3 4 6 7 5 4 10 23 29 19 8 4 5 7 8 7 7 6 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 4 5 5 4 5 6 7 8 8 6 6 7 8 8 7 7 6 6 7 7 6 6 5 6 5 5 5 5 6 6 5 6 5 5 5 5 5 5 5 6 7 7 8 9 10 11 12 12 12 13 14 12 10 7 6 6 8 13 14 10 8 7 6 7 8 7 8 8 8 8 7 3 3 4 4 4 5 5 5 5 6 6 5 6 5 6 5 5 5 6 6 6 6 6 5 6 7 7 7 6 7 7 7 8 9 11 14 16 17 18 17 15 11 7 3 2 4 6 5 4 3 4 3 3 4 4 4 5 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 6 7 9 11 14 16 16 14 9 4 3 3 3 4 4 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 4 2 1 0 0 1 3 3 4 3 3 3 3 3 4 6 8 10 11 9 7 6 6 6 6 7 10 12 10 6 3 2 3 4 7 15 21 17 10 6 5 5 5 6 7 7 7 7 6 5 4 3 2 2 2 2 3 5 6 7 8 8 6 5 5 4 4 4 4 5 5 5 6 6 6 6 5 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 7 9 11 10 6 4 9 20 28 30 28 23 11 2 1 -3 -5 -8 -8 -2 -0 -1 -1 -1 0 0 1 3 5 6 6 6 7 11 18 20 17 15 13 8 4 4 7 7 8 10 12 8 5 11 7 12 12 7 4 2 -1 3 10 9 3 7 14 13 7 7 4 2 2 3 2 2 3 1 -3 -2 2 7 7 9 14 9 -2 -4 9 21 17 10 5 0 -3 -2 6 2 -3 5 5 10 15 7 2 4 6 7 9 1 1 17 27 18 10 10 10 8 7 8 9 9 8 6 4 4 5 6 5 6 16 29 27 12 5 4 5 7 8 7 7 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 3 3 3 3 4 5 6 6 5 4 4 5 6 6 6 5 7 8 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 7 8 8 9 10 11 11 11 11 11 11 10 8 6 4 3 5 10 12 9 6 6 6 6 7 7 8 9 9 7 2 -1 3 5 4 4 4 4 5 6 5 4 4 4 5 5 5 5 5 5 5 6 8 9 4 3 6 6 5 5 5 6 6 6 7 8 10 12 13 14 18 22 21 16 9 6 5 5 6 6 5 4 3 3 3 3 4 5 6 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 3 3 4 5 7 8 8 8 8 9 8 5 2 1 2 3 4 4 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 7 8 8 6 3 2 1 1 2 2 2 2 3 3 3 3 4 5 7 11 13 12 9 7 6 6 6 5 7 10 11 8 5 3 3 3 7 15 20 16 10 6 6 5 5 6 7 7 8 8 8 7 6 5 4 3 2 2 3 4 5 7 8 7 6 4 3 3 3 4 4 4 5 6 6 6 6 6 5 4 4 4 3 3 3 3 4 3 3 3 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 3 4 5 7 11 12 9 5 8 18 26 28 22 13 7 7 10 12 8 4 -3 -3 -2 -2 -3 -2 -1 0 0 1 3 7 8 7 6 7 11 19 20 14 13 15 10 4 2 4 6 8 10 10 8 8 6 2 8 8 8 8 2 -1 3 6 3 4 12 13 7 16 14 5 -1 0 2 2 5 8 6 3 2 4 5 3 1 0 1 -0 -6 2 8 12 15 11 5 -2 -2 7 9 2 -2 -3 9 16 10 7 4 3 15 8 2 10 23 23 15 10 9 10 9 8 8 10 9 6 4 2 3 6 7 7 10 22 30 21 8 5 4 5 7 8 8 7 6 6 5 6 6 5 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 5 5 6 6 6 5 4 4 4 4 5 6 6 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 6 7 7 8 8 9 10 10 11 10 10 9 9 9 8 7 5 3 -0 -1 4 8 8 7 6 5 5 6 6 7 8 8 7 -0 -7 0 6 5 5 5 5 5 6 7 4 1 3 3 2 2 3 4 4 4 5 7 11 6 2 6 6 5 4 4 4 5 6 7 7 8 9 10 10 14 21 28 26 19 12 8 8 9 10 9 7 5 3 2 2 2 4 7 8 7 5 4 4 5 5 5 5 6 5 4 4 3 3 3 4 5 5 4 3 3 4 5 6 7 7 6 4 4 5 4 3 2 2 3 3 4 4 3 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 9 10 12 11 9 6 4 3 2 2 2 2 2 3 3 4 4 5 6 10 12 12 10 7 6 6 6 5 5 7 10 8 6 4 3 3 6 11 13 13 10 7 6 5 5 6 7 7 8 9 9 8 7 6 5 4 3 2 2 3 4 6 7 7 6 4 3 3 3 4 4 5 5 6 6 6 6 6 5 4 4 3 3 3 4 4 5 5 4 3 3 2 2 2 2 3 3 3 3 3 4 4 4 5 5 4 4 5 7 10 13 13 9 9 13 18 21 23 20 12 2 7 20 21 13 4 -5 -6 -5 -6 -5 -2 -0 0 1 2 5 8 8 8 8 10 15 20 17 11 11 14 12 7 3 3 3 7 9 7 9 10 4 8 5 6 10 7 -0 0 6 6 0 3 6 3 0 12 14 8 2 3 4 3 9 13 12 8 6 6 4 0 -2 -5 -2 5 -1 -0 -3 6 11 10 9 6 2 7 13 14 9 1 5 13 12 7 6 6 12 6 10 21 21 15 10 9 9 9 9 9 9 9 8 4 1 -0 3 7 8 9 15 26 28 16 6 4 4 6 7 8 8 7 7 6 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 5 5 6 6 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 2 4 5 5 5 6 6 7 6 5 4 4 4 5 5 6 6 6 6 5 5 6 6 6 5 5 6 5 5 5 5 6 6 7 6 6 6 6 6 6 6 6 7 8 8 9 9 10 10 10 10 9 9 8 7 6 5 5 6 3 -1 1 6 7 7 7 6 5 5 7 7 7 7 7 2 -5 -3 4 6 6 6 6 6 6 8 8 4 3 2 1 0 -1 -1 2 4 6 6 6 6 5 6 6 4 4 3 3 4 4 5 6 6 6 6 8 9 13 21 25 22 17 13 12 14 15 15 12 8 5 4 2 2 4 6 7 6 5 4 4 5 5 5 5 6 5 4 4 3 3 3 3 4 5 4 3 2 3 4 5 5 5 4 3 3 3 4 5 4 3 2 3 3 4 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 9 11 13 14 12 10 7 4 2 2 2 3 4 4 5 5 5 5 7 11 12 11 8 7 6 6 5 4 5 7 7 7 5 4 3 4 6 9 11 10 7 6 5 5 5 6 7 7 8 8 8 7 7 6 5 4 3 3 3 4 5 6 6 6 5 3 3 3 4 4 5 5 5 6 6 7 7 6 5 4 3 3 3 4 5 7 6 5 4 3 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 5 7 11 15 16 12 10 13 11 8 13 21 24 18 8 5 10 8 0 -7 -12 -11 -8 -6 -2 -0 1 1 2 3 6 8 10 13 14 14 18 17 14 15 14 12 13 10 5 4 5 5 5 8 11 4 1 4 -0 4 5 0 -3 3 10 8 -0 -2 -1 4 11 10 8 6 2 4 5 4 7 13 16 13 9 9 7 3 4 3 1 1 1 3 -3 2 6 5 8 9 7 8 11 13 10 2 -0 10 18 6 2 12 5 2 15 19 14 10 8 9 9 8 9 9 8 8 6 3 1 0 3 7 8 9 15 26 27 13 4 4 5 6 7 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 6 6 6 4 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 3 1 2 3 5 5 6 6 6 6 7 7 6 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 6 6 6 6 6 6 7 8 8 9 9 9 10 11 9 8 8 8 7 4 2 2 6 12 9 4 6 7 7 8 8 6 6 11 11 8 6 6 4 0 -0 4 7 7 7 7 7 6 7 9 9 8 5 4 4 0 -2 1 4 6 7 4 2 4 5 5 4 3 3 3 3 3 3 4 4 5 5 5 5 7 10 14 16 16 13 13 17 21 20 14 12 11 10 8 5 4 4 5 5 4 3 3 4 4 5 5 5 5 4 4 4 3 3 3 4 4 4 5 4 4 3 4 4 4 3 2 2 3 4 4 5 4 2 3 4 5 5 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 8 11 15 16 15 12 7 4 3 3 3 3 4 5 5 4 4 6 8 11 11 10 8 7 6 5 5 5 5 6 6 5 4 4 4 4 6 7 7 7 5 5 5 6 6 6 6 6 6 6 7 7 7 6 4 4 3 3 4 4 5 5 5 4 4 3 3 4 4 4 5 5 6 7 7 7 6 5 4 4 3 3 4 7 9 7 6 5 4 3 2 1 1 2 2 2 3 3 4 4 4 4 4 5 8 13 18 21 18 11 7 10 7 3 9 17 19 18 15 5 -4 -12 -14 -15 -13 -8 -4 -1 1 2 1 1 2 5 7 9 13 19 18 14 14 13 13 19 13 8 13 13 7 7 7 2 -1 6 8 1 1 1 1 1 0 0 1 5 12 7 -0 -2 -2 4 11 5 2 0 -2 3 6 6 5 9 18 17 14 13 9 7 10 12 4 -3 8 13 2 -1 0 3 9 6 6 10 12 10 4 -6 -5 14 22 5 -1 8 4 8 20 17 11 8 8 9 9 8 8 8 7 5 4 4 3 3 4 6 7 8 13 24 28 14 4 5 6 6 7 8 7 7 7 6 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 5 5 4 4 4 4 4 5 5 6 6 5 3 2 3 3 3 3 3 3 4 3 4 4 5 5 4 4 2 1 2 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 5 6 6 6 5 5 5 5 5 5 6 7 7 6 7 6 6 6 6 6 5 5 6 7 8 8 8 9 11 10 9 7 7 7 6 4 1 -2 -1 9 14 9 7 6 6 8 7 4 5 14 18 12 6 6 4 2 2 6 7 7 7 7 7 6 7 7 8 8 8 7 6 5 3 3 5 5 6 5 4 5 4 4 4 4 4 3 3 3 2 2 2 3 4 4 4 5 5 7 9 9 8 9 11 16 17 16 16 17 18 15 11 6 3 3 4 3 2 3 4 4 4 5 5 5 5 5 4 4 4 3 3 4 4 5 6 5 4 3 4 4 4 3 2 2 2 4 5 4 3 3 4 5 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 8 12 15 16 14 10 7 4 3 3 3 4 4 4 4 4 5 6 9 11 11 9 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 7 7 6 5 5 5 6 6 7 7 6 5 5 5 4 3 4 4 4 4 4 4 4 3 4 4 4 4 5 6 7 8 8 7 5 5 4 4 4 6 9 10 8 5 4 4 4 3 2 2 1 1 1 2 3 4 4 4 4 6 9 16 21 21 17 12 5 1 5 5 2 5 11 11 12 14 1 -12 -19 -17 -11 -5 -0 2 3 3 3 2 1 3 6 9 12 18 21 15 11 10 11 12 13 8 6 13 13 8 5 5 4 5 9 9 7 7 7 5 2 3 6 6 8 12 6 0 -1 0 0 -2 -2 -1 -1 -2 2 6 6 4 7 17 19 20 19 12 8 11 12 5 2 14 17 9 3 -1 5 12 5 2 5 8 9 4 -6 -5 14 15 6 8 12 9 13 19 16 11 9 9 8 8 8 8 8 7 3 3 4 5 5 5 5 5 6 11 23 28 16 6 6 7 7 7 6 6 7 7 6 5 5 5 5 6 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 3 1 2 3 4 5 5 5 5 5 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 5 5 5 5 5 5 7 7 8 8 9 10 10 9 7 6 5 5 4 3 -1 -6 -0 9 10 8 6 7 7 5 -0 -3 5 17 15 8 6 3 0 2 7 7 7 7 7 7 7 7 7 7 7 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 5 4 4 2 2 2 3 4 5 5 5 6 6 6 5 5 6 7 10 14 16 20 21 18 14 10 6 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 3 4 5 5 3 2 2 2 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 6 8 11 13 12 11 8 6 4 3 2 3 3 3 3 3 4 5 7 9 11 10 9 8 8 6 6 5 5 5 5 5 5 5 4 3 3 4 5 5 5 7 9 8 7 6 5 5 5 6 5 6 5 5 5 5 4 3 3 3 3 3 4 5 4 5 5 5 5 5 6 7 8 9 9 7 6 5 5 5 5 7 9 8 5 3 3 4 4 4 3 2 1 0 0 1 3 4 4 4 6 13 21 24 19 11 5 3 2 2 3 2 1 2 1 1 4 0 -13 -22 -17 -10 -4 1 3 4 4 4 3 2 2 5 10 14 17 19 16 10 9 11 12 11 6 3 4 11 11 10 3 3 9 15 15 11 10 10 7 5 7 9 11 9 9 16 7 0 1 4 3 0 2 4 3 3 5 6 4 5 8 12 15 20 24 16 7 8 8 6 7 10 8 5 3 3 10 11 6 -2 -4 1 8 9 4 1 4 4 12 23 23 21 22 15 12 10 9 9 7 7 7 8 8 5 3 3 4 5 5 6 6 5 5 11 23 26 15 7 8 8 7 7 6 6 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 5 6 6 5 3 2 2 2 3 4 5 5 5 4 5 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 7 7 7 7 7 6 6 5 5 5 4 4 4 5 6 7 8 8 9 10 11 10 7 5 4 4 5 6 4 0 -0 5 8 7 6 5 6 4 -2 -8 -4 8 12 9 5 1 -0 4 7 7 6 6 6 6 7 7 7 8 8 8 7 7 7 6 7 7 6 6 6 6 7 8 7 8 10 11 9 6 5 5 4 4 3 3 4 5 7 7 7 6 6 6 5 6 6 7 9 12 16 19 21 18 12 8 7 6 5 4 3 3 3 4 4 4 4 4 5 5 6 6 6 6 5 5 5 4 5 5 4 3 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 7 7 7 7 8 9 10 10 9 7 4 2 2 2 2 2 2 2 3 5 6 8 9 10 11 11 10 8 7 6 6 6 5 5 5 5 5 4 4 5 5 6 6 8 10 10 9 7 6 6 5 5 4 4 5 4 4 4 4 3 3 3 3 3 4 5 5 5 6 6 6 6 6 7 8 8 8 7 6 5 5 5 6 7 9 7 4 3 3 4 5 5 5 4 2 0 -1 1 2 4 5 6 13 23 25 20 10 0 -2 1 5 3 1 4 8 5 -3 -7 -11 -20 -25 -23 -11 -3 0 2 3 3 3 3 3 4 6 11 18 19 15 12 9 9 11 14 13 11 6 5 3 6 11 11 2 1 7 10 9 5 7 13 10 7 7 9 9 8 10 17 9 2 6 8 6 7 8 8 7 7 8 6 3 7 11 10 10 7 14 12 6 7 8 8 10 5 3 3 -0 0 6 8 9 3 -5 -3 6 13 12 9 4 8 19 27 26 25 22 14 10 10 8 7 7 8 8 7 7 5 2 2 3 4 6 8 7 6 5 14 25 23 12 7 7 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 6 4 3 1 1 2 3 4 5 5 5 5 5 4 5 6 6 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 6 6 7 8 8 7 6 6 5 4 4 4 4 4 4 5 5 6 7 7 8 10 11 10 7 5 4 4 6 7 7 7 5 6 6 6 6 5 4 4 1 -4 -5 1 7 9 4 -2 0 6 7 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 6 5 5 6 8 8 11 14 14 10 7 6 5 5 5 5 5 6 7 8 9 8 7 6 6 7 7 7 8 10 10 11 15 21 20 14 12 9 8 6 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 4 3 4 5 6 6 6 5 5 5 4 5 5 5 4 4 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 13 12 11 11 10 9 8 8 9 10 11 9 6 3 2 1 3 3 1 1 1 3 5 7 8 9 11 12 12 10 8 7 6 6 6 5 6 6 5 5 5 6 6 7 8 8 10 10 9 7 7 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 6 7 7 6 6 7 7 7 6 5 5 4 4 4 6 8 8 7 4 3 3 3 4 5 6 6 4 1 -1 -0 1 3 5 11 19 19 14 11 6 -1 -1 4 3 -3 2 15 23 18 4 -5 -13 -20 -19 -12 -4 -1 0 1 2 2 3 3 4 6 13 20 22 16 9 6 8 10 10 12 13 12 10 10 6 2 8 10 5 2 1 2 5 4 9 12 7 5 5 8 8 6 12 11 9 5 10 8 4 5 7 7 7 7 8 4 4 8 12 10 3 -3 3 3 7 13 13 12 10 6 8 9 2 -5 -1 7 13 12 -1 -5 5 13 12 12 15 18 22 22 21 20 15 11 9 8 7 6 7 8 8 7 6 4 2 2 3 3 5 8 9 7 6 13 22 21 11 7 7 8 7 6 6 6 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 6 6 4 4 4 3 4 4 5 5 6 6 6 5 5 4 4 4 4 2 2 2 3 3 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 7 7 8 7 6 5 4 4 3 4 4 4 4 4 4 5 6 7 7 8 9 11 11 8 5 4 5 8 7 8 8 7 7 5 5 5 5 5 5 5 3 1 2 6 6 0 -2 3 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 8 8 8 8 6 5 5 5 6 7 11 15 15 10 6 5 5 6 6 6 7 8 9 10 10 9 7 7 7 8 8 9 10 11 12 11 13 15 17 19 18 13 10 7 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 6 6 5 4 4 4 4 5 6 6 6 5 6 5 5 5 6 5 5 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 14 15 14 14 13 12 10 9 9 9 11 11 9 5 2 2 3 4 3 1 0 0 2 5 7 8 10 11 12 12 10 7 6 6 6 6 6 6 7 6 6 6 7 7 8 9 9 9 8 7 6 6 6 5 4 5 4 4 4 4 4 4 3 3 3 4 4 5 5 5 6 6 7 7 7 7 7 6 6 5 4 3 3 3 4 7 8 7 5 3 3 3 4 4 6 7 6 2 -0 -0 1 3 10 19 19 11 7 8 5 3 4 7 1 -7 10 22 32 28 12 3 -4 -11 -9 -4 -2 -2 -0 0 2 3 4 5 6 12 21 25 20 13 8 7 9 9 7 8 10 12 10 12 11 4 3 4 7 7 3 6 7 5 6 4 3 4 7 12 9 5 10 5 6 7 8 7 4 3 4 5 6 6 5 1 3 7 10 8 -3 -0 8 6 8 11 11 10 10 9 11 7 -1 1 5 5 8 10 2 -1 6 9 8 11 18 21 20 18 16 13 10 9 8 7 6 6 7 7 7 7 6 4 2 2 2 3 5 7 8 6 6 9 17 21 17 10 7 7 7 7 6 7 7 7 6 5 5 5 5 5 5 5 6 5 4 4 4 3 4 4 5 5 4 4 4 4 4 4 5 6 6 4 4 4 3 4 4 5 6 7 7 6 5 4 4 4 4 3 2 2 2 3 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 7 7 6 5 4 4 3 3 4 4 4 4 4 4 5 6 7 7 8 9 11 11 9 6 4 6 11 11 8 7 6 5 5 5 5 5 5 6 6 5 5 4 5 3 -2 -0 6 7 6 6 6 6 7 7 6 6 6 6 7 7 8 9 9 9 9 9 9 8 7 6 6 6 7 10 13 12 8 5 5 6 6 7 7 8 9 10 10 9 8 7 7 7 8 9 9 10 11 13 13 13 13 16 21 23 18 13 9 7 7 6 4 3 4 4 5 5 5 4 5 5 5 6 7 7 7 8 7 7 6 6 5 5 4 4 5 4 4 5 5 5 6 7 7 6 5 6 6 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 11 12 12 13 12 11 9 8 9 10 12 11 8 5 5 5 6 6 3 0 -0 1 3 5 7 8 10 11 12 12 9 6 6 6 6 7 7 7 6 6 6 5 6 7 8 8 9 9 8 6 6 6 5 5 5 4 4 3 4 4 4 4 3 3 4 4 5 5 5 6 7 7 7 7 7 7 7 6 5 5 4 3 3 4 6 9 8 5 3 3 3 4 3 4 6 7 5 1 -1 3 9 18 21 14 7 5 1 -0 5 9 8 -3 -7 12 18 25 24 7 -5 -11 -15 -11 -4 -2 -0 1 3 4 5 6 7 10 18 26 24 18 15 14 10 5 4 6 6 8 11 10 11 10 4 2 4 8 11 12 9 2 2 3 3 4 7 10 11 8 6 10 5 6 8 6 9 9 8 5 5 6 7 6 3 3 3 8 10 1 5 11 14 13 6 7 9 9 9 9 1 -5 9 12 1 -3 0 2 4 7 6 6 10 16 18 17 16 13 10 9 8 6 5 5 6 6 7 7 7 7 5 3 1 1 4 5 6 6 6 6 7 13 22 23 13 6 7 7 7 6 7 7 6 6 6 5 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 6 5 4 4 3 4 3 4 5 6 7 6 6 5 4 4 4 4 3 2 2 3 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 5 5 6 7 7 6 6 5 4 4 3 4 4 4 4 4 4 4 4 5 6 7 8 9 10 11 12 10 6 2 3 12 15 9 6 6 5 5 6 5 5 6 6 6 5 4 5 5 1 -2 2 7 7 7 6 6 7 7 7 7 6 6 6 7 7 7 8 9 10 10 10 10 10 9 8 8 7 7 9 11 10 7 6 6 7 7 7 8 8 9 9 8 7 6 6 6 8 8 9 10 10 11 12 13 14 13 16 22 26 22 15 11 9 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 8 7 8 7 6 5 5 5 5 4 3 4 4 5 5 6 6 6 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 7 8 9 10 10 11 10 10 11 11 12 12 11 10 8 8 9 9 6 3 1 1 2 4 6 7 8 10 12 12 11 8 6 6 6 6 6 6 6 6 6 5 6 6 7 8 9 10 9 8 6 6 5 4 4 4 4 4 4 4 5 4 3 3 4 4 4 5 6 6 7 7 7 7 8 8 8 8 7 6 5 4 4 5 6 8 10 8 4 2 3 3 3 4 5 7 6 3 3 8 16 16 8 4 2 -3 -4 1 10 12 8 -2 -4 1 6 6 5 -14 -22 -22 -17 -8 -1 2 4 6 8 8 8 10 13 16 22 26 20 16 18 17 11 3 0 4 6 11 13 12 11 7 1 1 5 6 8 13 10 2 2 5 6 8 14 11 6 9 11 9 6 8 10 7 7 9 7 5 6 8 7 9 10 5 1 5 9 8 6 5 14 13 8 13 13 10 8 5 -1 2 15 12 2 -5 -1 4 4 5 5 7 10 13 14 14 12 10 9 9 8 6 5 6 6 6 6 6 7 8 7 4 1 1 3 5 5 6 5 6 6 11 24 27 14 5 5 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 6 5 5 5 4 4 4 4 5 5 5 4 4 4 3 4 4 5 7 7 6 5 5 5 5 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 7 6 6 5 4 3 3 3 3 3 4 4 3 4 4 4 4 6 7 8 9 10 11 12 11 7 2 -2 5 14 11 6 5 5 5 5 6 5 6 6 6 5 5 6 6 3 -0 4 7 7 7 7 7 7 8 8 7 7 6 6 7 7 7 7 7 8 10 11 10 10 9 9 8 8 10 10 9 8 8 8 7 7 7 7 8 8 8 7 6 6 5 5 5 6 7 9 10 10 11 12 13 14 15 15 20 26 29 23 16 10 6 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 9 8 7 7 6 6 5 4 4 4 4 4 4 4 5 6 6 7 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 5 7 9 10 13 14 15 15 14 14 14 13 13 11 11 12 10 7 3 2 2 3 4 6 7 8 10 12 12 10 7 6 6 6 6 5 5 5 5 5 5 6 6 7 8 10 11 9 7 6 5 4 3 3 4 4 4 4 5 4 4 3 4 4 4 5 6 6 6 6 6 7 7 8 8 9 8 7 6 5 6 7 7 9 11 9 6 3 3 4 3 3 4 6 7 6 7 9 9 2 -5 -6 -8 -7 4 11 15 13 9 3 -1 -7 1 0 -12 -23 -20 -13 -5 1 6 8 10 12 12 12 12 17 24 24 23 22 16 13 14 12 8 3 1 2 7 12 13 13 11 10 4 1 1 -0 3 9 9 6 4 6 5 7 12 3 2 14 15 8 9 10 9 7 6 6 4 3 6 6 4 7 10 7 5 5 3 6 6 7 13 7 14 22 18 14 12 7 4 10 15 8 3 3 7 6 4 6 9 9 9 11 10 8 5 6 9 10 9 7 7 6 6 7 5 5 8 10 10 7 3 1 2 4 5 5 6 6 8 15 27 27 13 3 3 6 7 7 7 7 6 6 6 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 5 7 6 6 4 4 5 5 4 4 4 3 3 4 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 5 5 6 6 6 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 7 8 10 11 12 13 12 8 5 -0 0 8 9 6 5 4 4 5 5 6 7 6 5 5 5 5 6 5 5 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 5 5 7 10 11 10 8 8 8 10 12 12 8 7 7 7 7 7 7 8 7 7 6 6 5 5 4 3 3 4 5 6 8 9 11 12 12 14 15 15 15 20 28 33 31 22 12 6 4 5 5 4 4 4 4 5 5 5 5 5 4 5 5 4 5 7 8 8 9 8 7 6 5 5 5 5 6 5 4 5 5 5 5 5 5 5 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 5 7 9 12 16 18 18 16 15 17 17 16 13 11 11 11 10 7 4 3 3 3 4 5 7 8 10 11 9 7 6 6 6 5 5 5 5 5 5 5 5 6 7 8 9 10 9 8 6 5 5 4 4 3 4 4 4 4 5 5 4 4 4 4 5 6 6 6 5 5 5 6 6 7 8 8 7 7 6 7 8 8 9 10 10 7 5 4 4 4 3 4 5 8 11 11 7 1 -3 -5 -6 -6 3 12 13 12 9 7 5 -1 -5 4 6 -5 -2 3 7 8 10 12 14 15 15 15 16 19 26 30 23 17 17 13 10 8 7 7 7 6 3 4 9 11 12 10 13 10 5 1 -2 3 8 8 8 6 4 4 6 2 -3 -1 9 11 9 11 10 7 9 11 9 3 1 4 3 1 2 4 6 9 7 1 4 11 11 8 6 16 20 16 14 9 5 7 11 9 -0 -1 7 6 5 7 10 13 10 8 9 7 3 3 5 8 10 9 8 7 6 6 6 5 5 9 12 11 9 6 3 2 2 4 4 5 7 10 19 25 22 15 8 3 4 6 6 6 5 5 6 7 7 6 6 7 7 6 6 6 5 5 5 5 5 5 6 6 5 5 4 4 5 5 6 5 5 4 4 4 4 4 5 6 7 6 4 3 4 5 5 5 4 4 4 4 4 4 4 5 4 3 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 3 4 4 4 4 5 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 6 8 10 12 14 15 13 9 8 6 2 4 6 6 5 5 4 5 6 6 7 6 5 5 5 5 4 5 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 5 4 5 7 8 8 7 7 8 12 13 12 8 7 6 6 5 6 7 7 7 6 6 5 5 5 4 3 2 2 3 4 5 8 10 11 12 12 14 15 14 13 18 29 38 38 28 15 7 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 6 7 9 9 8 7 6 6 7 7 6 5 5 5 5 5 5 5 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 3 4 6 7 9 12 14 15 14 13 14 16 15 12 11 10 10 10 8 6 4 4 4 3 3 5 7 8 9 8 8 6 6 6 6 5 5 5 5 5 5 6 6 6 7 8 8 8 8 7 7 7 6 5 4 4 4 5 5 5 5 5 4 4 4 4 5 6 6 5 4 4 4 5 5 6 6 6 6 7 8 8 9 9 10 10 8 7 7 5 5 4 3 4 11 17 15 8 3 1 1 2 4 8 8 7 6 3 5 7 6 4 8 11 10 16 19 17 16 15 14 14 15 16 18 22 25 25 19 12 11 14 12 9 9 8 8 9 8 6 3 3 5 8 11 11 8 7 6 4 6 6 6 8 7 3 3 5 -2 2 3 2 5 8 8 5 4 12 20 17 7 1 2 3 3 3 3 5 9 7 4 7 13 13 7 5 11 13 11 9 -1 3 9 8 2 -5 -4 2 -2 2 12 13 10 8 7 8 8 6 6 6 7 8 8 7 6 5 7 7 4 5 8 10 12 11 9 6 2 1 2 2 4 7 10 15 17 18 21 16 9 5 4 5 5 4 4 5 7 7 7 7 7 7 6 6 6 5 5 5 5 4 6 6 7 6 4 4 5 5 5 6 6 5 4 4 4 4 4 5 7 7 5 4 3 4 6 5 5 4 4 4 4 4 5 5 4 4 3 4 4 4 4 4 5 4 4 5 5 4 4 3 4 4 3 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 2 2 3 3 3 4 4 5 7 10 13 15 16 14 9 9 8 2 3 5 6 6 6 6 6 5 7 7 6 5 5 6 4 2 4 7 7 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 5 4 5 6 6 6 7 9 11 12 10 8 6 5 4 3 4 5 6 6 6 6 6 5 5 5 4 4 3 3 3 3 5 7 9 10 11 13 14 13 10 11 18 32 48 50 34 11 1 6 11 10 9 7 6 4 4 4 4 5 4 4 4 4 3 3 5 7 9 9 8 8 7 8 8 6 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 4 5 6 7 7 7 9 10 10 9 8 9 11 11 10 9 8 8 9 8 6 6 5 4 4 3 4 5 7 8 7 6 6 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 9 9 9 8 6 5 5 4 5 5 6 6 5 5 4 4 4 4 6 7 5 4 3 3 4 4 4 5 5 6 7 7 8 9 9 9 10 10 10 9 8 6 5 4 4 7 6 5 6 6 5 4 5 5 6 6 4 0 2 9 11 10 9 10 10 12 18 21 18 15 12 10 10 12 16 22 27 24 16 9 7 9 12 10 9 11 11 12 12 10 8 4 1 1 4 11 10 6 8 9 7 7 5 5 8 6 7 11 11 1 4 7 4 5 4 4 1 2 12 22 18 10 5 3 1 4 5 3 4 6 6 5 6 10 14 12 11 9 6 10 6 3 14 15 7 -1 -5 -0 5 3 4 11 11 7 4 4 7 12 14 12 8 7 8 7 6 4 4 7 8 6 6 6 7 9 10 12 11 6 2 0 0 3 6 7 10 12 16 21 20 17 14 7 4 4 3 3 5 6 7 7 7 8 7 7 7 6 5 5 5 4 4 6 7 7 6 5 5 5 5 5 6 6 5 5 4 4 4 4 6 6 6 5 4 3 4 5 5 5 5 5 4 5 5 5 5 4 4 3 3 4 5 5 4 5 5 4 5 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 4 4 4 5 7 9 13 17 17 15 10 6 5 3 4 6 6 5 6 7 7 5 6 6 5 4 5 5 3 2 4 7 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 5 5 5 6 6 7 9 10 10 8 7 6 4 2 3 4 5 5 6 6 6 5 5 5 5 6 6 5 4 3 2 2 4 6 8 10 11 12 12 10 8 10 20 44 67 51 15 2 6 17 23 23 19 13 8 4 4 4 4 4 4 5 4 3 2 3 4 6 8 9 9 9 9 8 6 5 4 5 5 5 4 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 7 6 7 8 8 7 6 7 8 9 8 6 5 8 12 12 10 9 9 8 8 8 7 7 6 5 5 4 4 5 6 7 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 9 11 12 11 9 7 5 5 5 5 6 7 7 6 5 5 4 4 4 6 8 7 6 4 3 3 3 5 5 5 6 6 6 6 8 9 9 11 12 13 11 9 7 6 5 5 2 -3 -1 6 8 7 6 6 6 7 9 3 -3 6 19 19 9 9 15 14 12 15 15 11 6 2 2 4 9 17 25 26 18 10 9 8 9 10 10 9 9 11 13 14 11 11 7 3 1 -1 6 11 10 9 6 6 7 5 7 10 7 8 13 14 8 4 7 10 6 6 5 -1 0 10 17 12 12 15 10 0 1 2 2 5 6 6 4 1 5 10 14 17 13 6 12 6 4 15 17 8 -3 -4 6 13 14 10 7 7 5 2 3 9 16 19 15 10 9 8 5 5 3 4 8 10 8 7 6 6 6 6 10 13 11 6 2 1 2 3 4 6 8 11 14 18 24 22 12 7 5 3 2 3 5 6 7 8 8 7 7 6 6 5 5 5 3 3 6 8 7 6 5 5 5 6 5 6 6 5 5 5 4 4 4 5 6 7 5 3 4 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 6 9 13 18 19 16 10 6 5 5 6 6 5 5 7 7 6 7 7 5 5 5 4 2 -1 1 5 7 8 7 7 7 7 7 7 7 7 7 8 8 7 7 8 7 7 7 6 6 5 5 6 6 7 8 9 8 8 7 5 4 3 4 5 6 6 6 5 5 5 6 6 5 6 7 7 6 5 3 3 3 4 5 7 9 11 12 11 9 9 12 28 49 42 20 10 11 18 26 28 27 26 23 16 9 4 3 4 5 5 5 4 3 3 3 3 5 7 8 9 9 8 6 5 4 4 4 5 5 5 6 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 8 8 8 8 8 8 7 7 7 8 9 8 7 6 8 11 12 12 12 11 10 9 8 8 8 8 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 11 12 12 9 7 6 5 6 7 9 9 7 6 5 5 5 4 4 6 9 11 10 7 5 3 4 5 5 6 6 5 4 5 7 9 9 10 11 11 11 10 9 8 7 5 3 4 5 6 8 8 7 7 7 8 7 0 -4 11 31 33 24 17 15 7 3 3 1 -3 -5 -4 -1 3 11 19 22 18 10 7 8 8 7 7 9 10 9 10 12 14 13 12 7 4 4 -0 3 9 11 6 4 8 8 8 10 12 8 6 5 7 9 7 11 11 6 12 6 -0 3 10 13 9 12 19 11 1 -1 3 6 9 9 8 5 3 6 7 10 13 12 10 12 5 4 12 17 11 -2 -2 7 14 18 15 6 5 4 1 5 12 16 16 14 11 9 8 6 5 4 5 8 10 10 8 7 6 4 4 5 9 12 11 8 5 3 2 2 3 5 7 8 14 22 21 11 12 14 6 2 3 5 6 6 7 7 7 7 6 5 5 5 4 2 3 6 8 8 7 6 5 5 6 6 6 6 6 5 5 4 4 3 5 7 7 5 3 4 5 6 5 5 6 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 6 7 9 13 18 20 17 11 7 7 6 5 5 5 7 7 6 6 6 6 5 4 4 4 1 -6 -2 5 7 8 8 7 7 7 8 7 6 6 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 4 2 2 3 5 6 8 9 10 10 9 10 16 23 24 19 14 14 15 16 18 22 29 33 30 21 10 5 5 5 5 6 5 5 4 3 3 3 5 6 8 9 7 6 4 4 4 4 4 5 5 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 7 6 5 9 13 16 16 17 16 15 6 5 14 15 15 17 17 14 10 8 7 8 11 13 12 9 7 7 11 12 12 11 10 9 10 11 14 14 12 11 11 12 14 15 15 15 15 12 11 10 12 13 13 13 17 18 17 15 13 13 14 13 12 11 9 8 8 12 17 17 12 7 8 11 12 12 12 12 12 12 12 9 5 3 5 7 10 12 13 12 12 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 14 15 13 10 10 9 8 9 10 11 12 12 12 13 13 13 14 14 12 9 10 14 15 15 15 14 13 13 14 14 13 13 12 12 12 13 12 12 12 13 14 13 13 14 14 14 14 14 14 14 14 13 12 13 13 12 11 12 12 12 11 11 12 13 14 14 13 12 10 8 6 7 13 18 17 17 17 16 16 15 14 14 14 16 17 18 17 16 15 14 15 19 21 20 20 20 19 18 16 15 16 15 15 15 14 14 15 16 16 14 13 12 12 14 15 17 17 15 14 14 15 15 17 17 15 14 15 15 16 16 15 15 16 19 20 18 15 13 13 13 13 14 15 15 14 14 14 14 14 14 15 15 15 15 15 13 12 12 11 11 12 12 12 12 13 13 13 13 12 12 12 11 11 12 11 11 11 11 11 11 11 10 11 10 11 12 12 13 14 14 12 9 9 9 9 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 13 13 12 12 11 11 11 11 12 11 11 10 10 10 10 11 12 12 12 12 11 11 12 12 12 11 11 12 11 11 12 13 12 12 14 16 16 13 13 15 16 13 10 7 4 4 7 12 13 13 14 14 14 13 13 13 13 13 14 15 17 21 23 23 19 15 11 9 9 10 11 12 12 13 14 14 15 18 19 19 17 15 13 13 14 13 13 13 12 12 13 13 13 13 13 14 15 15 15 13 13 13 14 16 16 15 14 13 13 14 13 13 12 12 12 13 14 18 20 19 13 10 12 15 16 14 13 13 13 14 15 14 13 15 16 16 16 15 14 14 14 14 13 13 14 13 13 12 12 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 11 8 6 13 17 19 13 11 11 19 19 13 9 8 10 12 11 10 10 9 8 10 11 12 12 12 12 12 14 14 11 9 9 11 14 15 13 13 13 11 9 9 10 13 13 14 16 18 18 17 14 13 11 10 10 10 9 8 9 10 13 14 13 8 8 13 15 16 15 14 14 14 15 14 11 6 5 6 9 11 12 12 13 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 14 14 12 10 9 9 10 11 12 13 13 13 13 12 13 14 13 12 12 12 13 14 14 14 13 13 14 15 15 13 12 12 11 11 10 11 12 13 13 14 13 13 13 13 13 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 11 12 13 13 13 13 12 11 9 6 5 10 17 21 22 20 18 17 16 15 15 14 14 15 16 16 16 16 17 15 15 15 16 17 17 17 17 16 16 16 15 15 15 14 13 13 14 14 14 13 12 11 12 13 16 17 16 14 13 13 13 16 19 17 15 15 15 14 13 11 7 6 9 13 16 17 16 15 14 14 14 14 15 15 14 14 15 15 16 16 16 16 15 14 13 13 12 12 12 13 12 12 13 13 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 12 13 14 14 13 12 11 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 12 13 13 12 11 10 11 11 11 11 11 11 10 10 11 11 12 12 12 11 11 10 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 15 16 16 15 11 7 5 4 5 9 12 14 15 15 14 14 14 14 14 13 13 13 14 15 18 22 27 26 18 11 8 8 9 10 11 11 12 13 14 14 13 13 14 14 14 15 15 13 13 14 13 12 12 13 12 13 14 14 13 14 15 15 14 12 12 14 16 17 16 15 14 12 12 15 15 14 13 12 11 12 15 18 21 17 12 9 11 13 14 14 14 13 14 13 14 15 15 15 15 16 16 15 15 14 14 14 14 13 13 13 13 13 13 13 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 18 8 6 14 15 13 8 9 10 11 9 10 12 13 9 8 9 12 14 14 15 16 16 14 11 10 10 12 14 14 13 13 14 12 9 8 10 12 12 12 13 14 15 15 14 11 10 9 10 10 10 10 11 12 12 14 13 9 11 14 14 14 15 15 15 16 15 17 14 8 6 7 8 9 11 12 12 12 12 11 11 11 12 12 12 11 12 12 12 12 12 12 13 13 12 13 13 13 12 11 12 12 13 13 13 13 13 13 12 11 13 14 14 14 14 15 15 14 13 13 13 14 16 16 15 14 13 12 11 10 9 11 13 13 14 14 13 13 12 12 13 14 14 15 15 14 14 13 13 13 13 12 12 12 13 12 12 13 13 13 13 12 12 12 12 11 9 9 11 16 21 27 27 20 17 16 16 15 14 13 14 15 16 17 17 15 15 14 14 15 16 17 16 17 18 18 18 17 16 16 15 13 13 14 14 14 13 12 11 12 14 16 16 16 15 13 12 15 18 17 15 14 13 14 14 14 11 7 7 9 12 15 16 16 16 15 15 15 15 15 15 15 15 16 16 16 15 15 15 13 13 13 13 13 13 13 12 12 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 14 14 14 12 9 8 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 11 10 10 11 11 11 11 11 12 13 13 12 11 11 11 11 11 11 11 11 10 11 11 12 12 11 11 11 10 10 11 10 10 11 11 11 12 11 12 12 13 13 14 15 16 17 17 16 14 10 8 8 11 14 15 16 15 14 14 14 13 14 14 14 13 13 13 14 16 18 20 23 21 15 9 7 8 9 11 11 12 13 13 13 13 12 13 14 14 14 14 14 14 14 14 13 12 11 12 13 13 14 15 14 14 15 14 12 11 13 16 17 17 16 14 13 12 12 13 14 16 15 14 14 14 14 16 21 18 12 10 10 10 11 13 14 14 13 13 14 15 15 15 15 15 15 15 15 14 14 13 14 14 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 8 12 14 14 12 12 12 10 8 9 11 14 16 16 14 14 12 11 11 12 13 12 13 14 15 13 11 10 10 11 10 8 6 6 7 8 9 10 9 9 10 9 8 9 10 12 13 15 14 11 12 12 12 12 13 14 13 13 13 14 12 8 7 7 9 9 10 10 10 10 11 11 11 12 12 12 12 11 12 13 13 12 12 12 12 12 12 12 12 13 12 12 13 13 13 14 14 13 13 12 11 11 13 14 15 15 16 15 14 13 12 12 14 14 14 14 14 14 14 13 12 11 11 12 13 13 13 13 13 13 12 12 13 13 14 15 14 14 13 14 14 14 13 12 12 13 12 12 13 13 14 13 13 13 13 13 14 13 11 8 5 6 13 30 37 24 18 17 16 15 14 14 14 14 15 16 17 16 15 14 13 13 16 16 15 15 19 23 26 22 18 19 18 16 15 14 13 13 13 13 12 12 12 14 15 16 16 14 13 14 16 16 16 15 15 14 15 16 16 13 11 9 10 11 13 15 16 17 16 15 15 16 16 15 15 15 15 14 13 14 14 14 13 13 13 13 13 13 13 12 12 12 12 11 11 12 12 12 12 12 11 11 12 12 12 13 13 13 14 16 16 14 12 11 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 11 11 10 10 11 11 12 12 12 12 11 11 12 12 11 11 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 12 12 13 13 13 13 16 18 18 17 15 13 12 12 11 12 14 15 15 15 14 14 14 14 14 14 14 14 13 13 13 14 16 19 22 20 17 13 9 9 8 10 11 12 13 13 13 13 12 12 13 14 15 15 13 13 13 13 12 12 12 12 12 13 14 15 15 15 16 16 14 12 11 13 15 17 16 15 13 13 13 12 12 13 15 15 14 14 15 16 17 19 20 17 14 10 9 10 13 16 14 13 12 13 14 15 14 14 15 15 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 10 13 15 14 12 13 12 11 12 14 13 12 12 12 14 16 16 14 12 11 10 9 8 6 5 5 7 9 9 9 9 9 8 9 11 12 14 15 13 11 12 12 12 12 12 12 12 12 12 11 9 8 9 8 9 10 10 9 9 9 10 12 12 12 12 12 12 11 12 11 12 12 12 12 12 12 13 13 12 11 11 12 13 14 14 14 14 14 13 12 12 12 13 14 15 15 15 14 13 13 12 13 14 14 13 12 13 13 14 14 12 12 13 13 13 13 13 13 13 14 13 13 13 13 14 14 15 14 13 13 14 14 13 13 12 12 12 13 13 14 13 13 13 13 13 13 13 13 12 9 4 -3 -1 24 40 32 24 19 16 15 15 14 15 15 14 16 16 16 16 16 15 14 15 14 11 8 10 20 31 29 22 21 19 17 16 16 15 13 13 13 13 14 12 12 13 13 13 13 13 14 13 13 13 13 14 13 13 13 13 12 11 11 10 10 11 13 15 16 16 15 14 15 15 14 14 15 14 14 14 14 13 14 13 13 12 12 13 13 13 12 12 12 12 12 12 12 13 13 13 14 14 14 15 16 17 17 17 18 17 16 14 12 10 9 9 9 10 10 10 11 10 10 11 10 10 10 10 10 10 10 10 10 11 10 10 11 12 13 13 13 12 11 11 11 11 11 11 12 12 12 11 11 12 11 12 12 12 11 11 12 11 11 11 10 10 9 10 11 12 12 13 14 14 13 13 14 16 17 16 13 10 10 12 12 11 12 14 14 14 15 15 14 14 14 14 14 14 14 13 13 13 15 17 21 23 22 19 12 8 8 9 10 10 12 12 13 13 12 11 12 13 14 15 14 13 13 12 11 12 12 13 13 14 15 15 15 15 15 14 14 15 14 13 14 14 14 14 14 13 14 13 11 11 13 15 15 14 13 12 14 17 20 20 17 14 13 12 12 13 14 15 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 6 6 6 7 7 8 9 10 11 10 10 14 18 21 21 18 22 26 28 26 27 27 24 20 16 14 13 13 13 13 12 10 9 9 12 13 13 14 17 21 21 19 17 14 12 11 9 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 3 1 0 0 0 1 1 1 1 2 2 2 3 3 2 2 2 3 3 3 3 3 4 4 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 3 8 7 6 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 6 9 8 9 10 10 8 6 8 10 14 16 14 9 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 4 4 5 5 3 2 1 7 14 18 21 20 17 16 16 16 11 15 17 18 17 14 9 16 30 36 33 22 6 1 0 0 0 0 10 22 28 30 20 6 7 17 34 50 63 72 72 66 65 74 88 99 98 89 67 39 23 22 31 44 62 80 92 96 101 105 107 106 102 96 90 84 77 63 43 24 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 7 12 26 51 74 97 114 115 99 83 82 98 116 123 113 101 108 109 86 68 86 120 139 151 160 161 154 135 105 88 95 100 98 101 119 128 123 122 134 136 131 139 151 150 158 183 169 169 175 175 170 159 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 6 6 6 6 6 7 8 8 8 8 8 11 12 15 16 15 18 23 25 25 24 23 21 19 17 15 14 14 15 15 14 13 13 14 16 16 16 16 17 19 20 18 16 13 10 8 7 7 7 7 7 7 6 6 6 6 6 6 6 5 6 6 7 7 5 2 0 0 0 1 1 1 1 1 1 2 2 3 3 3 3 2 2 2 3 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 3 2 2 1 1 1 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 0 2 4 5 5 4 3 4 14 20 23 23 21 18 18 18 17 12 15 18 19 18 17 16 19 32 39 33 18 4 0 0 0 0 2 13 23 29 34 31 16 10 16 27 45 62 71 68 59 58 66 77 83 83 77 55 26 11 6 7 9 23 48 68 81 87 91 95 97 96 92 84 80 80 75 67 55 27 15 4 2 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 32 63 89 112 111 90 76 84 106 123 130 130 129 122 107 101 113 124 131 140 153 165 173 172 161 149 149 147 145 152 155 143 131 128 137 141 136 138 147 153 166 186 171 169 169 166 158 148 136 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 nan 6 6 6 6 6 6 6 6 7 7 7 7 7 8 10 11 14 14 15 19 21 19 17 15 14 14 14 13 13 14 15 14 13 13 13 13 13 14 15 15 15 15 14 13 12 10 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 5 2 0 0 0 0 0 1 1 1 1 1 2 2 2 2 3 2 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 4 5 4 4 4 9 18 21 20 17 14 13 15 16 9 7 14 18 18 19 19 25 34 32 21 8 1 0 0 0 0 4 14 24 31 37 38 27 15 14 19 35 57 66 62 51 49 56 63 69 71 64 50 30 14 6 1 0 1 4 19 53 65 74 79 83 84 84 80 76 76 75 72 66 62 53 36 23 20 18 14 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 12 50 87 109 116 99 76 73 91 114 130 136 133 123 111 106 107 108 111 117 126 140 159 178 184 176 172 166 157 156 150 132 120 120 130 136 134 132 136 142 155 171 167 158 156 155 147 136 127 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 10 11 12 13 14 14 14 13 12 12 12 13 14 15 15 14 12 11 10 10 10 11 11 12 12 10 9 9 8 7 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 4 1 0 0 0 0 0 0 0 1 1 1 1 2 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 0 0 0 0 0 0 0 2 3 3 3 3 4 5 14 18 16 11 7 6 7 10 14 12 14 18 20 23 28 34 34 25 13 4 0 0 0 0 0 1 11 27 36 42 44 36 22 14 14 26 50 61 56 42 38 42 47 53 55 49 42 31 16 10 4 0 0 0 1 15 31 45 58 64 68 68 70 70 72 75 76 72 70 67 64 60 49 35 38 38 30 18 7 2 1 0 0 0 0 0 0 0 0 0 4 23 55 90 120 126 120 104 79 69 82 103 124 135 132 120 108 100 98 99 103 107 110 113 130 145 156 157 154 149 142 138 130 115 100 95 102 112 116 114 113 117 126 138 136 129 135 142 138 128 118 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 9 8 8 7 7 6 6 6 6 6 7 8 8 7 7 8 8 8 9 10 11 12 13 13 14 14 15 15 14 13 12 9 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 2 0 0 0 0 0 0 0 1 1 1 1 1 2 1 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 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 2 3 5 9 15 18 17 14 10 8 6 6 11 15 19 23 24 28 33 34 28 18 7 1 0 0 0 0 1 3 15 32 42 48 48 42 28 15 15 24 47 58 50 32 28 32 34 37 38 36 34 29 14 12 8 0 0 0 0 0 5 14 26 36 45 52 52 55 60 66 72 73 74 74 75 79 74 57 50 52 47 34 18 8 6 6 2 0 0 0 2 13 26 12 10 49 97 119 136 132 119 103 78 72 84 99 117 129 127 115 104 96 93 97 104 106 104 104 113 120 120 120 119 118 118 118 115 103 84 69 66 74 86 87 85 85 89 99 113 114 116 126 130 122 108 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 9 9 9 8 8 8 8 7 6 6 7 7 8 8 8 8 7 6 6 6 7 10 12 13 14 14 14 13 12 11 10 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 5 5 4 4 4 4 4 4 3 0 0 0 0 0 0 1 1 1 1 1 1 1 2 1 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 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 2 7 16 21 21 20 19 18 17 14 12 14 19 30 37 31 27 28 26 21 13 3 0 0 0 0 0 3 12 27 40 49 55 54 49 38 27 19 29 50 60 49 26 17 15 15 20 25 24 24 24 20 13 9 2 0 0 0 0 0 2 8 13 19 22 24 30 35 40 47 52 58 66 74 84 87 80 71 63 50 34 18 9 9 18 22 11 0 3 7 33 64 66 62 97 121 128 134 129 117 101 80 80 94 107 118 125 125 117 105 93 88 94 106 108 103 104 111 113 105 96 94 96 98 98 96 88 74 61 54 52 56 60 61 60 61 67 84 105 108 114 121 116 96 81 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 7 8 9 9 9 9 10 10 9 8 7 7 8 8 8 8 9 8 7 6 4 4 6 8 10 12 12 12 12 12 11 10 9 8 7 6 7 6 6 6 6 5 5 5 5 4 4 4 3 2 1 1 1 0 0 0 1 2 2 2 1 1 2 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 9 19 24 24 23 22 22 22 19 15 16 25 38 42 32 24 23 21 17 10 2 0 0 0 0 1 6 19 36 47 54 58 58 51 42 35 33 36 51 60 47 22 13 3 1 2 5 8 10 12 14 9 5 2 0 0 2 1 1 0 3 6 7 7 5 6 8 10 16 19 16 23 40 56 70 81 87 86 75 50 22 5 3 15 45 49 37 23 22 52 83 112 116 126 128 132 135 129 116 95 77 78 95 113 125 130 131 123 109 92 84 94 112 114 109 110 116 115 100 84 82 86 85 80 73 67 62 58 54 47 42 44 44 45 48 54 65 84 101 114 118 109 92 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 8 6 7 8 9 9 10 11 12 11 10 10 9 9 9 8 8 8 9 9 9 7 4 3 3 5 8 10 13 14 14 14 13 12 10 9 8 8 7 7 7 7 6 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 2 2 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 10 20 26 27 26 25 26 25 22 18 21 30 36 32 25 21 19 17 14 6 2 0 0 0 0 2 10 23 38 49 55 56 53 45 34 27 30 36 48 53 43 24 10 2 0 0 0 0 0 2 3 2 1 0 0 3 8 9 8 6 2 2 2 2 1 0 0 0 2 3 1 0 4 17 28 46 65 82 92 80 50 10 2 3 36 65 79 50 46 66 94 115 112 112 119 130 136 131 116 92 71 70 87 108 124 134 136 131 120 103 90 94 110 119 122 125 128 121 97 75 75 84 78 69 60 53 56 61 63 55 43 35 34 37 44 52 61 73 93 113 117 107 92 82 81 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 10 9 7 5 6 7 8 10 12 13 12 12 12 12 11 10 9 9 9 9 9 10 10 8 5 4 3 5 8 12 15 16 15 14 13 12 11 10 9 8 7 7 7 6 5 4 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 1 1 0 0 1 2 1 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 11 21 26 27 27 28 30 30 26 24 29 34 33 27 22 17 14 12 9 4 1 0 0 0 0 2 10 19 31 44 49 48 37 25 19 16 18 33 44 47 42 27 10 1 0 0 0 0 0 0 0 0 0 0 3 6 12 19 19 16 9 0 0 0 0 0 0 0 0 0 0 0 0 3 6 12 26 47 76 93 86 48 18 5 12 31 57 54 52 68 96 109 97 88 104 128 140 137 121 96 76 73 83 98 111 124 133 134 129 115 97 96 106 122 131 137 138 129 94 70 75 84 77 65 56 53 61 74 82 77 62 46 37 39 45 49 62 76 93 111 117 108 91 77 71 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 10 11 8 5 4 5 7 9 13 13 12 11 12 13 13 12 11 10 10 9 9 9 10 10 8 7 6 5 7 11 14 16 16 15 14 14 12 11 10 9 8 7 6 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 14 21 23 25 26 27 30 31 30 31 34 34 28 22 17 12 9 6 3 1 0 0 0 0 0 0 5 12 23 34 37 35 26 19 15 12 13 27 38 43 41 26 10 2 0 0 0 0 0 0 0 0 0 0 1 4 8 14 18 19 17 10 3 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 36 77 97 87 48 16 9 10 29 42 46 61 89 109 100 84 94 124 145 145 133 111 92 85 89 97 103 107 116 126 130 119 100 97 108 126 137 142 140 126 95 76 78 79 71 59 52 55 71 89 95 90 80 68 60 62 65 66 77 87 95 110 117 108 92 76 67 nan nan nan nan nan nan nan 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 8 12 10 6 4 4 5 7 11 13 12 10 12 14 14 13 12 11 10 10 9 9 9 10 10 10 9 8 8 10 12 15 16 16 15 14 13 11 9 8 8 8 7 6 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 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 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 1 3 4 7 14 18 20 22 23 25 25 24 22 20 19 17 15 12 10 8 6 1 0 0 0 0 0 0 0 0 0 6 15 23 26 20 17 14 11 8 8 15 25 33 36 28 13 3 0 0 0 0 0 0 0 0 0 0 0 2 4 7 9 12 15 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 39 78 92 65 29 10 10 15 21 30 44 72 96 102 95 98 119 144 151 146 136 120 104 100 104 111 114 114 120 123 116 101 96 107 124 139 142 136 118 91 76 75 70 57 47 46 58 81 99 99 94 94 93 89 91 90 97 98 94 97 117 124 119 102 90 86 nan nan nan nan nan nan nan 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 13 11 7 5 4 4 5 8 12 12 10 10 12 14 14 13 12 11 10 8 8 9 9 9 10 10 9 9 9 10 12 14 15 15 14 13 11 9 8 8 8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 9 12 14 15 19 21 19 11 8 6 6 3 4 5 6 4 2 0 0 0 0 0 0 0 0 0 0 2 6 10 14 12 11 10 7 4 2 4 8 14 20 19 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 8 14 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 37 64 65 39 13 2 0 2 8 24 51 75 95 105 107 114 134 157 157 155 149 125 109 111 118 122 123 123 121 116 104 95 101 118 135 139 129 108 84 73 70 59 44 37 43 63 90 103 95 95 108 110 104 105 95 83 86 90 99 117 126 124 116 111 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 5 12 12 7 6 5 5 4 5 8 9 9 8 10 12 14 14 13 12 10 9 8 8 9 9 9 9 9 8 8 8 9 11 13 14 13 12 11 10 9 8 8 8 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 3 4 4 4 5 8 10 10 12 15 13 8 6 3 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 3 1 0 0 0 0 2 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 28 52 46 19 0 0 0 1 8 30 50 79 105 110 105 120 153 162 161 162 137 115 111 115 115 117 123 124 120 111 101 100 110 124 131 124 104 82 72 67 52 36 32 42 67 97 104 89 91 106 107 100 91 82 68 62 70 86 106 118 121 123 124 122 119 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 nan 0 3 9 11 6 3 5 6 6 5 5 7 8 7 7 9 11 13 14 12 10 9 8 8 8 8 8 8 8 8 7 7 8 10 12 13 13 12 11 10 10 9 9 9 9 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 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 5 3 4 4 4 4 4 4 3 4 7 8 8 8 10 10 9 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 6 28 41 26 5 0 0 0 0 8 24 56 88 100 96 104 134 156 161 161 148 127 115 113 112 114 121 127 126 119 110 100 101 109 116 118 108 87 76 70 49 34 32 42 70 100 104 91 86 85 82 73 61 49 36 31 38 54 72 89 113 125 125 116 108 nan nan nan nan nan 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 7 8 4 1 3 7 8 5 4 6 9 8 6 6 8 10 12 12 10 9 8 8 8 7 6 6 6 6 5 6 6 7 9 11 12 11 11 10 10 9 9 10 10 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 5 5 5 5 5 7 8 8 8 6 6 6 5 4 4 3 4 7 8 7 7 7 8 9 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 1 2 2 1 1 2 0 0 0 0 0 1 7 20 20 9 0 0 0 0 0 11 36 70 88 82 82 107 142 159 160 157 144 129 122 121 124 128 133 132 126 119 108 99 93 95 104 103 90 82 71 52 38 36 46 71 101 111 99 84 73 64 55 43 27 12 9 18 41 72 100 116 123 118 109 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 1 6 8 4 1 2 6 6 2 3 8 12 10 5 4 5 6 10 12 10 9 8 7 6 5 4 4 4 3 3 3 3 3 4 6 7 8 8 9 9 8 8 9 9 8 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 5 6 6 4 2 2 2 1 1 1 0 0 1 1 2 3 4 6 8 9 8 6 4 4 5 6 7 8 8 7 6 6 6 5 3 2 4 6 6 5 4 4 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 14 14 11 10 7 1 0 0 0 0 0 1 5 14 15 4 1 0 0 0 9 27 56 77 71 62 80 116 146 158 158 152 143 136 132 133 134 136 135 132 128 120 111 97 87 90 91 84 78 69 56 44 40 47 69 101 118 114 97 79 65 56 47 35 27 32 51 76 100 119 123 121 113 108 105 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 0 0 0 4 6 2 0 1 2 1 0 2 8 14 12 6 3 3 3 7 11 10 6 6 5 5 4 3 2 2 1 1 1 0 0 1 2 2 3 5 6 7 7 7 7 7 6 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 9 12 14 12 11 10 9 6 4 3 2 2 2 4 5 7 8 7 7 6 4 2 1 3 5 6 8 8 9 8 7 7 6 5 3 2 1 5 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 18 28 32 27 22 9 0 0 0 0 0 0 0 0 8 22 22 10 1 0 0 6 22 45 64 63 54 64 93 123 142 149 147 144 142 138 137 133 133 134 138 135 131 124 115 102 95 86 78 73 67 59 51 48 53 69 96 118 126 120 104 86 75 72 73 71 81 103 117 123 126 125 116 108 108 108 nan nan nan nan nan 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 2 4 0 0 0 0 0 0 0 6 12 11 6 3 2 3 5 8 7 3 2 2 2 3 2 2 2 1 0 0 0 0 0 0 0 0 1 3 5 7 8 7 7 6 4 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 9 12 13 13 14 13 10 6 4 3 4 4 6 8 8 8 5 3 1 1 1 3 6 8 8 8 9 9 8 8 8 7 6 4 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 16 28 35 38 36 29 13 2 0 0 0 0 0 0 0 10 34 47 28 5 0 0 7 22 34 53 59 54 60 85 111 131 142 145 142 141 141 139 133 130 131 136 136 133 131 130 126 116 97 79 69 64 60 58 58 61 71 90 110 126 132 128 116 110 112 117 115 120 124 127 125 119 112 103 97 102 110 111 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 13 6 0 1 3 3 0 0 0 1 2 1 1 4 6 5 4 3 2 2 4 5 3 1 0 0 1 1 2 2 2 3 2 1 0 0 0 0 0 0 0 1 3 5 7 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 5 8 11 12 12 11 8 5 5 6 8 8 8 6 5 3 1 0 0 2 6 8 10 13 13 8 8 8 8 8 8 7 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 6 13 25 28 38 43 42 41 35 20 5 0 0 0 0 0 0 0 6 30 57 45 12 0 1 8 20 17 35 54 57 64 85 110 133 152 158 153 145 140 136 132 127 127 131 130 126 125 133 144 138 112 82 70 66 64 64 67 71 80 91 103 117 125 127 126 128 130 132 130 127 124 120 114 107 96 88 88 96 108 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 16 14 11 11 10 6 1 0 0 1 3 6 6 6 4 1 1 1 1 1 2 3 2 0 0 0 0 1 1 2 3 4 4 2 1 0 0 1 0 0 0 0 1 2 4 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 5 9 11 11 10 9 8 9 10 10 10 8 4 2 1 0 0 1 4 9 11 15 16 13 9 8 7 7 8 9 8 6 4 2 2 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 1 4 8 9 6 5 4 1 1 0 0 0 0 1 3 9 19 34 40 44 45 46 44 37 21 7 1 0 0 0 0 0 0 2 13 36 40 12 0 5 21 23 2 12 35 55 66 83 106 135 163 174 170 157 142 132 131 129 128 131 131 123 116 128 150 152 129 95 76 70 70 72 74 82 90 94 101 110 116 119 119 118 118 120 119 116 112 108 105 100 90 84 87 95 105 110 nan nan nan 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 10 16 21 18 10 2 0 0 0 1 5 7 8 5 1 0 0 0 0 2 3 1 0 0 0 0 0 1 2 3 4 4 3 2 1 2 2 2 2 1 1 0 0 1 3 4 4 3 1 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 4 7 9 9 9 9 9 10 11 10 9 6 3 2 0 0 0 2 8 12 12 10 9 8 7 7 7 6 7 7 7 6 5 4 3 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 1 6 12 14 16 20 22 19 16 8 1 2 4 7 12 18 27 38 42 43 44 46 46 38 22 6 0 0 0 0 0 0 0 0 2 8 25 4 0 6 38 38 6 2 17 46 64 76 95 123 154 174 176 167 155 144 142 144 141 139 139 133 122 124 145 157 143 113 86 74 75 78 81 90 98 98 100 104 108 111 110 107 107 111 115 112 107 106 108 103 91 87 92 99 105 109 nan nan nan 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 11 19 17 10 3 0 0 0 0 1 4 6 7 5 2 1 0 0 1 2 2 1 0 0 0 0 0 1 2 2 2 1 0 0 1 2 2 2 2 1 0 0 0 1 2 2 3 2 0 0 0 0 0 0 0 0 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 7 9 9 9 9 9 10 10 8 6 3 1 1 0 0 3 7 10 12 12 10 8 7 7 6 6 6 6 6 6 5 5 5 5 5 4 3 1 0 0 0 0 0 1 1 1 1 2 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 3 8 12 23 32 42 45 41 34 29 24 20 20 23 28 34 37 37 37 39 41 41 35 20 6 1 0 0 0 1 3 4 1 0 0 10 3 0 14 43 44 18 3 11 39 63 72 81 104 137 165 172 166 159 158 160 162 158 150 146 145 134 128 141 153 152 133 102 83 80 83 88 96 103 104 101 100 101 102 102 99 100 109 118 119 116 115 116 111 101 98 102 106 108 109 nan nan 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 4 2 4 8 8 6 4 2 0 0 0 0 1 2 6 7 4 3 2 1 1 3 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 8 8 8 7 8 8 7 4 2 0 2 2 5 10 11 10 10 10 10 8 8 7 6 6 6 7 7 5 4 4 5 5 6 6 6 6 5 4 3 2 3 4 5 5 4 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 2 4 1 5 11 19 28 41 46 45 43 43 46 47 41 34 34 38 35 32 34 39 42 38 28 14 4 0 0 0 0 3 8 7 3 0 0 3 9 17 39 58 51 26 6 10 37 64 71 69 80 118 157 171 158 152 157 162 162 160 152 148 145 137 132 139 147 151 143 122 99 88 87 92 100 108 111 106 97 93 95 96 93 93 102 112 117 120 122 122 117 110 108 109 110 111 109 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 21 15 8 3 2 2 3 6 6 5 2 0 0 0 0 2 4 6 7 6 4 3 4 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 6 7 6 4 6 7 8 7 6 5 6 7 10 14 12 9 8 7 7 7 7 6 6 6 6 7 7 6 5 4 5 5 6 7 7 6 7 7 7 7 8 8 8 8 8 7 7 6 7 7 7 5 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 3 6 8 10 14 18 22 35 42 44 43 40 48 68 70 49 38 38 32 30 35 45 46 38 21 7 1 0 0 0 0 5 11 10 5 1 0 3 20 46 77 90 69 37 14 13 38 64 72 67 67 98 143 168 156 146 146 150 152 151 148 147 146 141 138 139 142 143 143 134 115 99 89 90 102 110 118 117 106 95 91 91 90 90 92 98 105 114 122 125 120 113 117 120 121 120 120 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 22 21 16 11 6 3 2 5 10 11 9 5 2 0 0 0 1 4 9 11 10 9 7 6 4 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 1 2 2 2 2 2 2 2 1 0 1 2 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 7 6 8 9 10 11 10 10 10 11 12 12 11 9 7 6 7 7 7 6 6 5 5 6 7 6 5 5 5 5 6 6 7 7 7 7 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 0 0 2 5 10 17 19 20 24 35 47 52 52 49 58 79 85 65 46 38 32 32 41 51 44 29 10 2 0 0 0 0 0 4 12 14 10 4 1 4 24 58 92 103 81 53 30 22 37 59 70 72 75 88 119 152 155 144 133 132 135 139 143 146 150 151 149 146 143 139 140 137 126 111 95 89 97 106 118 126 123 110 96 90 90 89 86 84 89 100 113 121 124 127 136 143 146 139 133 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 14 16 17 19 18 12 7 6 11 14 16 14 10 6 3 1 0 1 5 8 9 9 9 8 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 1 1 2 2 2 2 2 2 0 0 0 1 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 6 8 9 10 10 10 11 12 11 11 11 10 11 12 12 11 10 9 8 7 7 7 8 8 6 5 4 5 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 5 5 3 3 3 3 2 1 1 0 0 0 0 1 2 5 6 6 9 8 6 5 5 4 1 1 2 3 9 16 18 19 26 39 50 58 58 54 67 86 84 65 50 38 35 42 59 54 36 14 3 0 0 0 0 0 0 2 9 17 18 10 2 4 24 56 78 84 67 46 31 25 36 50 64 74 78 84 100 136 152 142 123 113 113 120 129 139 147 156 159 155 149 144 142 139 131 122 108 93 92 98 111 128 136 129 110 95 91 89 85 80 79 85 98 111 121 133 146 148 148 146 138 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 13 19 23 21 18 14 13 14 16 16 14 11 9 6 2 0 0 0 0 1 4 8 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 1 1 2 2 2 2 1 0 0 0 0 0 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 12 13 13 13 13 14 14 12 10 10 10 11 11 11 11 10 9 8 7 6 7 8 9 8 6 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 6 6 5 5 6 6 6 7 7 5 2 4 4 6 10 16 20 20 19 18 18 18 17 14 8 4 1 1 1 5 11 16 25 39 50 59 57 47 56 72 68 54 44 37 42 54 60 46 26 7 1 0 0 0 0 0 0 0 4 12 20 14 3 4 22 48 60 62 52 29 15 16 33 45 56 68 77 82 92 122 147 144 125 107 100 103 113 126 140 151 160 156 150 145 146 146 141 133 121 107 97 94 104 124 140 140 126 110 98 90 86 79 73 75 86 100 114 124 131 129 127 128 126 120 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 11 12 11 15 19 21 21 19 15 13 11 10 9 10 13 14 10 4 1 0 0 0 1 4 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 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 3 6 8 10 11 13 15 16 14 14 14 13 11 10 9 10 10 10 9 9 8 7 6 6 6 7 8 9 8 6 5 4 4 4 5 5 5 5 6 6 6 7 6 6 6 7 8 9 9 9 9 8 8 7 7 7 7 7 8 9 8 7 6 7 9 11 14 16 16 16 17 15 16 18 22 26 27 25 23 23 23 24 25 24 19 12 5 0 0 1 4 10 19 31 45 58 57 44 41 47 44 42 40 38 49 58 52 36 22 9 2 0 0 0 0 0 0 0 0 4 14 14 5 5 23 40 46 52 50 32 12 11 27 43 52 59 67 74 84 107 142 156 134 109 96 97 103 110 125 138 148 150 148 146 147 150 151 145 134 123 114 105 104 117 138 146 134 124 111 97 90 84 75 73 81 94 107 114 113 109 109 115 119 114 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 15 17 15 13 13 13 13 12 12 10 8 4 3 4 8 13 16 11 4 1 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 10 11 12 14 15 16 14 13 13 11 9 9 9 9 9 9 7 4 2 1 3 4 6 7 8 8 8 6 5 4 4 4 5 5 5 5 6 6 6 6 6 4 3 5 5 7 8 9 11 11 11 10 9 8 7 7 8 9 8 7 7 8 12 17 20 23 25 25 25 26 27 28 30 30 29 27 25 24 22 23 24 25 23 18 8 0 0 0 0 3 9 18 34 54 66 51 34 30 32 35 36 39 48 54 50 37 25 14 6 3 1 0 0 0 0 0 0 0 6 12 11 10 19 28 32 40 50 44 27 17 25 39 50 54 57 60 66 83 125 162 151 115 96 96 99 103 112 121 130 139 146 151 156 157 158 154 144 136 134 123 112 117 136 143 137 132 121 106 96 89 80 77 82 94 105 107 103 98 101 111 117 110 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 17 18 16 11 7 6 4 4 5 5 3 1 0 1 2 4 8 10 7 2 0 0 0 0 0 0 1 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 1 2 3 3 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 7 8 11 14 16 16 14 12 11 9 8 8 8 8 9 8 4 1 0 0 1 4 6 8 8 7 6 6 5 5 4 4 4 4 4 5 6 8 7 6 3 0 0 1 1 3 3 5 9 11 12 12 12 11 10 9 8 9 9 8 8 11 17 22 27 31 32 32 31 30 30 30 30 30 30 28 26 24 20 19 20 22 22 19 12 6 4 2 1 1 2 7 21 43 63 64 46 33 30 35 37 37 40 45 46 41 32 21 12 9 7 4 0 0 0 0 0 0 1 1 11 15 17 18 15 21 35 44 39 30 28 30 36 43 47 46 45 52 88 137 154 134 110 100 98 100 105 111 118 127 135 144 157 164 167 162 151 142 142 135 122 125 134 134 133 132 127 113 98 89 84 82 89 100 106 102 96 92 96 103 104 100 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 10 13 14 11 6 3 2 0 0 1 0 0 0 0 0 0 0 1 3 4 3 2 0 0 0 0 0 0 1 2 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 2 0 0 0 0 0 0 0 0 0 0 0 1 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 1 1 0 0 0 2 6 7 7 6 6 6 7 10 12 13 12 10 9 8 8 7 8 8 9 7 2 0 0 0 2 6 8 9 8 7 6 6 5 5 4 4 4 4 3 4 5 8 8 6 4 1 0 0 1 0 0 1 3 6 9 10 12 14 13 12 10 9 9 9 10 13 17 22 27 32 34 34 33 32 31 30 30 30 29 27 24 21 19 18 18 20 20 20 18 13 11 8 5 5 4 6 15 32 51 66 68 58 49 47 46 43 42 42 43 44 39 28 18 14 12 11 4 2 1 0 0 0 0 0 6 13 17 14 8 5 9 20 30 34 31 24 22 24 31 33 30 30 47 91 135 145 131 115 105 100 99 104 112 120 126 131 143 156 167 168 161 148 135 128 126 128 128 127 124 126 129 118 100 87 84 88 98 108 111 102 94 90 91 90 86 86 91 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
3 6 9 8 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 3 4 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 1 2 2 4 5 5 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 5 7 6 6 5 5 6 7 8 8 8 8 8 8 8 7 7 7 6 5 3 3 4 5 6 8 8 8 7 7 6 6 6 5 5 4 5 4 3 3 4 6 7 7 6 2 0 1 0 0 0 0 0 1 3 4 6 9 12 12 12 11 10 10 12 12 13 15 19 24 27 28 28 28 27 26 27 28 28 26 23 21 21 21 20 20 22 26 26 22 18 14 12 13 12 10 14 26 40 54 70 76 72 65 60 58 58 55 49 48 42 34 25 20 16 15 14 9 5 1 0 0 0 0 2 6 13 15 11 4 1 3 11 26 32 24 12 12 15 18 18 18 25 52 93 123 131 125 115 105 99 100 109 119 124 127 135 150 162 165 169 162 140 121 123 129 130 125 118 121 127 123 108 93 88 96 109 118 115 106 98 94 90 82 74 75 85 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 8 10 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 2 6 9 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 5 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 4 6 6 6 5 6 6 6 7 7 7 8 8 8 8 7 6 6 5 5 5 5 7 7 8 8 7 7 7 7 6 6 6 6 5 5 5 4 4 3 3 4 6 6 6 3 1 1 1 0 0 0 0 0 0 0 1 2 4 8 10 11 11 11 12 11 10 10 11 10 11 13 14 14 15 15 17 20 23 25 25 24 24 24 25 25 27 33 36 33 28 24 22 22 21 19 21 27 35 43 56 69 75 74 71 70 73 69 56 50 45 37 31 27 22 20 20 18 13 6 2 0 0 0 0 1 5 11 13 9 2 0 0 11 24 24 18 10 6 5 6 8 15 32 56 82 102 113 114 106 97 96 106 118 125 131 137 146 154 156 162 163 152 136 130 134 135 125 116 119 127 129 122 107 104 114 124 127 121 113 107 102 94 82 71 72 84 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 12 15 13 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 2 6 9 11 8 6 2 2 3 2 1 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 4 4 4 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 1 3 4 5 5 6 7 7 7 7 7 7 8 8 8 8 7 6 6 6 5 5 6 6 6 6 6 6 7 7 7 6 6 7 6 6 6 6 5 4 4 3 3 4 5 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 9 9 9 8 6 4 3 2 2 2 2 2 4 5 8 15 23 27 28 27 27 29 30 32 37 41 42 38 33 29 27 25 24 25 28 33 39 44 51 61 69 71 73 82 84 71 59 50 42 38 33 26 23 25 25 22 17 10 4 0 0 0 0 1 4 7 9 5 0 0 4 12 17 23 23 13 4 0 2 7 22 41 57 70 84 96 97 87 84 94 107 120 131 142 148 150 147 145 146 148 146 140 137 138 127 115 116 128 134 135 130 130 135 140 137 129 121 115 109 100 87 77 78 90 104 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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