Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 2 3 3 3 3 4 4 4 3 3 3 3 2 2 3 3 5 6 6 6 6 6 7 7 7 6 5 5 5 5 6 5 5 5 4 5 5 4 4 5 4 3 2 2 2 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 4 4 3 3 3 4 5 5 5 5 4 3 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 6 6 6 5 6 7 7 7 7 7 6 5 5 4 5 5 4 4 4 4 5 6 7 7 7 6 5 5 4 4 4 3 3 3 6 9 6 6 7 4 -0 4 11 8 4 2 -0 2 6 4 2 5 5 6 5 4 3 3 3 2 1 1 -1 -1 1 2 -0 -2 -1 2 3 1 -2 -1 2 3 1 -1 -3 -3 -2 2 7 8 8 8 8 6 3 2 5 4 2 3 5 6 5 3 2 3 6 20 37 39 25 10 4 4 4 4 4 3 3 3 4 4 4 4 4 6 8 9 9 10 11 10 8 6 4 2 1 2 2 2 3 4 4 4 5 5 4 4 3 1 1 2 3 5 6 5 5 5 5 4 4 5 4 4 5 5 5 4 4 5 5 5 5 6 6 6 6 5 4 4 4 4 4 3 3 2 3 3 4 4 5 5 5 4 3 3 3 3 4 4 4 5 6 7 6 5 5 6 7 8 7 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 6 6 6 6 7 7 6 6 7 6 5 4 4 5 9 16 19 16 13 10 6 4 0 -4 -5 -5 -6 -2 -0 3 6 5 4 5 7 6 3 0 -7 -13 -17 -17 -13 -6 1 3 4 4 5 6 7 9 12 13 10 7 9 10 10 10 9 9 10 12 9 8 9 10 9 7 7 7 6 6 6 6 5 5 6 10 13 14 15 14 12 8 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 2 2 3 4 4 4 3 3 3 4 4 3 2 2 3 3 5 6 6 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 2 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 2 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 8 7 6 5 4 5 5 5 4 4 3 4 6 6 6 6 6 5 5 5 5 4 2 2 3 4 8 9 6 8 8 5 -1 4 8 6 2 2 0 -0 1 0 3 4 3 4 2 -1 1 3 2 2 2 1 -0 1 3 4 2 -1 -1 1 3 7 8 4 2 2 2 -1 -4 -3 -2 0 5 7 6 6 6 4 1 2 5 5 3 4 6 7 8 8 7 10 19 33 40 30 14 5 4 4 4 4 4 3 3 3 4 4 4 4 4 6 8 8 8 9 10 11 9 6 3 2 2 1 2 2 3 4 4 4 4 4 5 5 4 3 2 2 3 3 3 3 3 4 5 5 5 4 5 5 5 7 6 5 5 5 5 5 5 6 6 6 6 5 4 2 1 2 3 2 1 1 2 3 4 4 5 5 5 4 3 3 3 3 4 4 4 5 6 7 6 5 5 6 7 8 8 6 5 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 6 5 5 4 3 3 4 7 11 11 9 8 10 12 11 7 10 5 4 4 5 5 6 7 6 8 8 7 5 2 -2 -5 -7 -8 -10 -8 -2 3 4 4 4 5 5 5 7 8 6 5 7 7 8 8 8 8 9 9 8 8 9 8 7 5 5 5 5 6 6 6 6 5 6 8 11 12 13 12 10 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 2 2 2 2 3 3 3 3 2 3 4 5 4 3 3 3 3 3 5 6 5 4 4 5 6 6 5 5 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 3 3 3 2 2 2 2 3 3 3 3 3 4 4 4 3 3 3 4 4 4 5 5 4 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 5 4 4 4 4 5 5 5 6 6 6 6 6 5 5 6 6 6 6 7 6 6 6 7 8 7 6 5 4 5 5 5 5 4 4 5 6 7 7 6 5 5 5 5 5 3 1 2 4 9 9 3 3 6 4 -0 -4 1 6 6 3 4 3 -2 -3 -1 5 4 1 2 2 0 0 1 1 1 2 1 2 4 6 5 3 2 2 3 4 7 8 6 2 -2 -2 -1 0 2 0 -1 0 5 7 6 2 0 1 5 4 2 3 4 6 10 12 14 15 20 30 36 31 17 7 4 4 4 4 4 3 3 3 3 4 4 4 4 5 6 7 7 8 8 9 11 10 7 4 2 2 2 2 3 3 4 4 5 5 4 5 5 5 3 2 2 2 2 2 3 6 10 7 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 5 5 4 3 -0 -1 2 1 -2 -3 1 3 4 4 4 5 4 3 2 3 3 4 4 4 4 5 6 6 6 6 5 6 7 9 9 8 6 5 4 4 4 4 5 5 4 4 5 5 5 5 4 5 5 5 6 6 6 5 5 5 5 5 4 5 5 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 5 4 1 1 5 8 8 8 8 7 8 8 8 7 5 4 3 6 8 7 5 4 5 3 4 2 -1 -2 1 4 4 4 4 4 4 5 4 4 4 4 4 5 6 7 7 7 7 7 7 8 8 8 6 6 6 6 6 6 6 6 6 5 5 7 8 10 11 10 8 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 5 5 4 4 4 5 5 5 5 5 4 3 3 3 3 2 2 1 2 2 2 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 2 2 2 2 1 2 3 3 3 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 6 5 5 4 4 4 4 4 4 4 5 7 7 7 6 6 6 6 4 2 1 2 3 4 2 -0 3 4 2 -1 -3 2 8 5 4 7 8 3 -1 1 4 3 1 1 3 3 3 3 3 2 3 4 6 8 8 6 4 3 4 5 6 5 6 6 2 -4 -7 -4 -1 2 2 -2 -1 5 9 7 3 3 7 9 5 3 4 5 9 13 16 20 24 30 34 29 18 9 5 4 4 4 4 3 3 3 3 4 4 4 4 4 5 6 7 7 7 8 10 11 11 9 5 3 2 2 3 2 3 4 5 5 5 5 5 5 4 4 3 2 2 1 1 4 11 12 6 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 7 6 6 5 4 4 1 -3 -1 3 0 -3 -1 2 3 3 4 4 4 3 3 3 3 4 4 4 4 5 5 6 6 6 6 5 6 8 9 9 8 5 3 4 4 4 4 5 4 5 5 5 5 4 5 5 5 6 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 2 -2 -4 -2 3 5 4 3 4 5 6 9 11 8 5 3 5 7 9 9 6 5 4 5 5 4 3 4 5 4 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 6 6 5 6 7 7 8 8 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 4 4 3 3 2 3 4 3 3 3 3 4 4 4 4 4 3 4 4 4 4 3 4 4 5 5 5 5 4 3 3 3 3 3 2 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 7 6 5 4 4 4 4 4 3 4 5 7 7 7 7 6 7 6 4 2 1 2 -0 -6 -7 -1 5 5 6 6 4 5 7 5 5 6 6 6 2 2 3 2 3 3 4 5 5 6 5 4 6 7 7 8 8 5 4 5 6 6 7 8 7 7 3 -2 -5 -4 -2 1 2 3 5 9 10 8 5 9 14 11 7 8 9 9 12 15 20 25 30 33 29 18 9 6 5 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 6 7 7 9 10 12 12 10 6 4 3 3 3 3 4 5 6 6 5 5 4 4 3 4 3 2 2 1 2 6 11 9 6 6 5 5 4 5 4 4 5 6 6 6 6 6 6 6 7 7 6 5 4 3 3 -1 -4 0 8 6 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 6 6 7 9 10 9 6 4 4 3 3 4 3 4 5 5 5 5 5 4 5 5 6 6 6 7 6 6 5 5 5 4 4 3 3 3 3 3 4 4 4 3 3 2 3 4 5 6 6 6 5 4 1 -4 -4 0 5 5 4 3 3 3 7 13 14 11 8 5 7 12 13 9 6 5 7 7 6 5 5 4 3 2 2 3 4 4 4 4 4 5 5 4 5 5 6 6 6 6 6 6 8 9 9 9 9 8 8 8 8 7 6 5 5 6 6 5 6 6 6 6 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 4 4 4 3 3 3 4 4 3 2 2 3 3 4 4 4 4 3 4 4 4 3 3 3 4 4 5 5 4 4 3 3 3 3 2 2 2 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 6 4 4 4 4 4 3 3 5 7 7 7 7 7 7 6 4 2 2 2 1 -0 2 4 1 1 8 9 6 3 4 6 6 5 4 4 3 2 5 4 4 4 5 5 6 6 7 6 6 7 6 4 4 4 5 6 7 10 11 11 11 9 7 3 1 1 3 5 9 10 8 8 6 10 11 13 14 10 9 11 12 13 14 17 23 27 28 25 17 9 6 5 5 4 4 4 4 3 3 3 4 4 5 5 4 5 5 5 6 7 8 9 10 12 12 11 8 5 4 3 3 3 4 5 6 6 6 5 4 3 3 3 3 2 2 2 4 8 12 11 7 5 5 5 4 4 4 5 5 6 6 5 5 6 6 6 7 7 6 6 5 4 4 2 -2 -3 3 8 6 4 3 3 3 3 3 4 3 3 3 4 4 4 4 5 5 6 6 6 6 7 6 6 7 9 8 7 6 4 3 3 3 2 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 4 5 5 4 3 2 2 4 6 8 7 6 5 3 -1 -1 1 4 7 7 6 4 2 3 8 13 14 11 7 9 13 13 12 10 11 11 8 6 5 5 4 3 2 0 1 4 5 5 4 4 4 5 5 5 5 6 6 7 7 6 6 7 9 10 11 10 9 9 9 8 7 7 6 6 6 6 5 4 5 6 6 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 3 4 5 4 3 4 4 4 4 3 2 2 2 2 4 4 4 4 3 4 4 3 3 3 3 4 4 4 5 5 4 4 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 5 4 4 5 5 6 6 6 7 7 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 7 6 5 4 3 3 3 3 4 5 6 7 7 7 6 6 6 4 3 3 3 3 6 13 13 4 -2 2 3 0 1 5 9 7 5 4 4 4 4 6 6 5 5 5 5 6 6 7 5 5 5 5 3 3 3 5 6 9 14 15 11 10 10 8 8 8 9 13 12 13 12 7 6 5 9 12 12 10 8 10 10 11 13 15 19 22 23 20 15 9 7 6 5 4 4 4 4 3 3 3 3 3 4 4 5 4 4 5 5 6 7 8 9 10 11 12 11 9 7 5 4 4 4 5 6 6 6 5 4 4 2 2 3 3 3 3 3 4 7 12 14 9 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 5 5 5 5 5 4 4 2 -2 -3 0 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 7 7 7 6 5 4 3 2 2 2 2 3 3 3 3 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 4 3 3 3 3 5 6 7 7 5 2 0 0 3 6 5 5 7 5 3 3 4 5 6 6 7 8 7 5 4 4 6 8 7 11 13 11 12 13 15 14 10 7 5 5 4 5 5 2 -0 1 3 4 4 4 4 5 5 5 5 5 6 6 7 7 7 7 8 10 11 10 10 10 9 8 7 7 6 6 6 6 5 4 5 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 1 2 3 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 3 4 4 4 4 3 2 2 3 3 4 4 5 5 4 4 4 4 4 4 4 3 2 2 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 9 10 11 11 11 12 12 11 11 10 10 10 9 8 7 6 5 4 3 3 3 3 3 4 6 7 8 7 6 6 5 4 4 3 3 4 5 8 12 10 4 0 -1 -1 2 6 7 7 5 4 5 6 7 6 5 5 6 7 7 6 5 5 5 4 3 3 3 4 5 6 7 11 16 15 9 6 7 6 7 10 14 13 10 8 9 9 7 10 8 9 10 7 7 11 11 11 12 16 18 19 17 15 11 7 6 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 6 7 7 8 10 11 12 11 10 8 6 5 5 5 5 6 5 5 4 4 3 3 2 3 4 4 4 4 4 7 13 18 13 6 5 5 5 6 6 6 6 6 7 7 8 7 7 7 7 6 5 5 5 4 4 4 4 2 -2 -1 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 6 6 6 6 5 4 4 3 2 2 1 1 1 2 3 3 4 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 3 5 7 10 11 8 5 1 1 3 4 4 4 6 7 6 5 5 6 7 7 6 7 9 8 4 2 -0 1 5 10 10 9 9 11 14 15 13 10 7 5 5 7 10 8 2 -3 -3 1 3 4 4 5 5 6 6 6 5 6 7 7 7 7 8 8 9 10 9 9 8 7 7 6 5 5 6 7 7 6 6 6 6 4 3 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 1 1 2 2 3 4 4 4 4 4 4 3 3 2 2 3 2 3 3 4 5 4 4 3 2 2 2 2 2 3 3 4 4 4 4 5 5 4 4 3 3 3 3 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 10 11 12 13 13 13 13 12 12 12 11 10 9 8 7 6 5 5 4 3 2 3 3 4 5 7 8 7 7 5 5 5 4 3 3 3 2 3 5 8 9 7 4 3 4 5 4 5 5 5 6 7 8 5 4 5 6 8 7 6 5 4 3 3 2 4 5 6 8 7 7 12 16 13 7 4 3 2 1 6 12 9 5 2 4 10 9 12 8 8 8 7 11 14 13 12 12 13 14 14 14 11 8 7 6 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 11 12 13 11 10 8 7 5 5 6 5 5 5 4 3 3 3 3 3 4 5 5 4 4 5 7 12 19 19 14 9 7 6 5 6 7 6 7 7 8 9 10 9 8 7 7 6 6 5 4 4 4 4 4 3 2 3 4 4 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 6 6 5 5 4 3 2 2 1 1 1 1 2 3 4 5 5 5 5 5 5 6 5 5 5 5 4 3 3 3 5 6 10 14 11 6 3 4 4 3 4 5 5 6 6 6 6 6 7 8 7 6 7 7 8 7 2 1 4 7 8 8 8 9 10 12 12 11 9 7 6 8 14 13 6 -1 -4 -2 3 5 4 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 6 5 5 4 5 7 8 9 8 7 6 6 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 2 2 1 1 1 1 2 3 3 4 4 4 5 4 3 3 3 2 2 2 3 5 5 4 3 3 2 2 2 2 2 2 3 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 4 4 4 3 3 4 4 4 4 5 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 10 11 13 14 14 14 14 13 12 12 12 10 9 8 6 5 5 5 5 4 3 3 3 4 5 7 8 8 7 6 5 5 4 3 2 2 2 2 3 6 8 9 7 6 6 5 2 3 5 5 5 7 9 5 3 4 6 8 7 5 4 3 3 4 4 5 7 9 10 8 6 9 12 11 8 5 2 1 -1 3 8 6 8 5 3 7 5 6 3 5 9 11 13 15 13 9 7 9 10 10 10 9 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 8 11 13 12 11 10 8 7 6 6 6 5 5 4 4 3 3 3 3 4 5 5 5 5 5 6 8 11 14 19 22 18 14 11 9 8 8 7 7 8 8 8 9 10 11 9 7 6 5 4 4 4 4 5 5 5 5 5 4 4 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 3 2 2 2 3 4 5 6 6 6 6 6 5 5 4 2 1 0 -0 -0 0 1 3 4 4 4 4 4 5 5 5 4 4 3 3 3 4 5 5 9 13 12 7 5 4 3 4 5 7 7 6 5 5 6 6 7 8 9 7 6 7 9 11 8 4 5 6 6 7 8 8 8 9 10 11 10 8 8 9 14 16 7 3 2 0 2 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 7 6 7 8 7 6 5 4 4 4 6 9 9 9 7 7 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 nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 5 3 2 0 1 1 1 2 2 3 4 6 5 5 5 4 3 2 2 2 3 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 4 4 3 4 3 3 3 3 3 4 4 3 4 4 3 3 4 4 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 3 4 4 3 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 4 5 5 4 5 5 5 5 5 5 4 5 5 6 5 5 6 6 7 6 6 6 7 8 10 12 13 14 15 16 14 13 11 11 10 9 8 6 5 5 5 5 5 4 3 3 4 5 7 8 9 7 6 6 5 4 3 2 1 1 1 4 7 9 9 7 6 5 4 5 6 7 7 5 7 8 4 5 6 5 6 7 6 5 4 4 6 6 7 8 8 9 7 5 6 9 10 8 5 3 4 5 7 10 12 13 4 6 9 -3 -8 -1 6 10 12 12 11 10 8 7 8 8 8 8 7 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 8 11 13 13 11 9 8 7 7 6 5 5 5 4 3 3 3 3 4 4 5 5 5 6 6 7 8 9 9 13 18 19 18 17 16 15 13 11 10 10 10 8 7 8 9 9 7 6 4 3 3 4 5 6 6 6 7 6 4 4 5 4 4 3 3 4 4 4 4 3 3 4 4 5 5 4 4 5 5 5 4 3 1 -0 -1 -1 1 4 6 7 7 7 7 7 6 5 5 3 1 0 -1 -2 -1 0 2 3 3 3 3 3 4 3 2 2 3 4 4 5 7 9 12 11 7 5 4 3 4 6 8 7 6 6 5 6 7 8 10 12 10 8 6 6 7 7 5 5 5 5 6 7 7 8 8 9 9 9 9 9 9 11 13 9 6 6 4 3 5 5 5 5 5 6 6 6 6 6 6 6 7 8 9 8 7 7 8 7 7 6 5 3 3 5 6 8 8 8 7 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 nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 6 4 3 2 1 0 0 0 1 3 4 6 6 6 5 4 3 2 2 1 2 2 2 2 2 3 4 3 3 2 2 2 2 1 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 3 4 4 3 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 6 6 7 7 6 6 6 7 7 9 10 11 14 17 19 19 16 13 11 10 9 8 6 5 5 5 5 5 4 4 4 4 6 7 8 8 7 6 6 5 4 3 2 1 1 3 6 10 10 9 5 5 4 5 8 9 9 8 6 9 9 6 9 9 4 3 6 7 6 5 5 7 8 7 5 4 5 5 5 4 6 8 8 6 4 5 11 12 11 18 14 6 7 14 7 -3 1 8 11 12 10 8 8 10 11 9 7 6 6 6 5 5 4 4 4 4 4 4 5 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 7 10 12 12 11 9 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 7 9 12 13 14 16 17 16 14 11 11 14 13 10 7 5 6 6 7 6 5 5 7 10 9 9 9 8 5 3 2 2 2 2 2 2 2 3 3 2 2 1 2 3 4 5 5 4 5 5 6 6 6 5 3 -1 -4 -6 -6 -1 4 7 8 7 7 7 7 7 6 6 4 1 -1 -3 -2 -2 0 2 2 3 3 3 3 2 1 1 4 4 5 8 10 10 9 7 6 5 3 3 6 7 6 6 7 6 8 10 9 8 8 9 6 4 4 4 4 4 5 5 5 5 6 6 7 7 8 9 9 9 9 9 10 10 10 9 8 5 4 5 5 6 6 5 5 6 6 6 6 6 6 7 8 9 8 8 7 6 6 7 7 6 5 4 4 5 6 7 8 7 8 8 6 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 6 7 6 5 3 2 1 -0 0 1 2 4 5 6 6 5 5 4 3 2 1 0 1 0 1 2 3 4 4 3 3 2 2 1 1 1 2 2 3 3 3 2 2 3 3 3 4 4 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 5 6 6 7 7 6 6 6 6 6 7 7 8 11 14 19 23 24 21 16 12 10 9 8 7 5 4 4 5 5 5 4 4 4 6 8 9 8 8 8 7 6 4 3 2 1 3 8 11 9 5 4 4 6 4 6 6 7 8 9 7 5 6 7 9 9 5 3 6 7 6 5 6 7 8 6 2 -0 1 3 4 4 4 7 8 7 5 6 12 11 10 13 8 6 6 16 23 12 8 9 11 11 8 6 7 9 10 8 6 6 6 6 5 5 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 4 4 4 4 5 5 5 6 9 11 12 11 9 8 8 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 6 7 8 9 11 11 10 9 10 12 13 14 12 9 7 6 7 10 9 7 9 13 14 14 13 9 4 2 2 2 1 2 2 3 3 3 3 1 1 0 0 1 2 3 5 5 6 5 6 8 9 10 9 6 0 -5 -8 -7 -2 4 7 6 6 7 7 7 7 7 7 7 4 1 -2 -4 -4 -2 0 2 3 3 2 2 -0 -1 2 4 4 6 7 6 6 6 7 5 3 2 4 7 6 5 6 7 8 8 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 8 9 9 9 8 9 9 9 10 9 7 4 5 6 6 5 5 5 5 5 5 6 6 5 7 9 8 9 9 7 6 5 6 6 6 5 4 4 4 5 7 7 7 8 8 6 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 5 5 5 4 5 7 7 7 7 4 2 1 1 1 1 2 2 4 5 5 5 5 4 3 1 1 -0 0 1 1 1 2 3 3 3 4 3 3 2 2 2 2 3 3 3 2 2 2 2 3 4 4 4 3 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 7 7 6 5 6 6 6 6 7 7 10 15 20 25 29 27 20 13 10 10 9 7 5 3 4 5 5 5 4 4 5 7 8 8 8 8 8 7 6 4 3 2 2 6 13 15 6 -2 -0 7 7 3 8 6 5 5 9 9 3 3 6 7 8 8 4 4 5 5 5 6 7 7 5 3 2 1 2 2 3 3 4 6 7 7 6 5 5 7 7 6 4 5 15 23 16 10 9 10 10 8 6 6 7 7 6 6 5 6 6 5 5 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 4 4 5 5 5 5 6 8 10 11 10 8 7 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 4 5 4 4 4 4 4 3 4 4 4 5 5 5 5 4 5 8 10 12 13 13 12 9 7 7 8 7 7 9 11 13 13 8 3 2 2 2 2 2 3 4 4 5 5 4 3 2 -0 -1 -2 -3 -1 3 5 6 7 8 9 10 13 14 12 7 3 2 0 2 5 5 5 5 5 6 7 7 8 8 8 6 3 1 -3 -5 -5 -2 3 4 1 -1 -1 -1 1 3 4 5 6 6 5 5 6 6 5 3 4 7 8 6 6 7 5 3 3 3 3 3 4 4 5 4 4 5 4 4 5 5 5 5 5 5 6 7 8 9 9 8 8 7 8 8 9 8 6 6 6 6 5 5 5 6 6 5 5 5 5 6 8 8 9 9 8 6 6 5 5 5 4 4 4 4 6 7 7 7 7 7 6 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 4 4 4 4 5 6 6 7 6 5 4 4 3 2 1 1 1 2 4 5 5 5 4 3 2 2 1 1 1 1 1 2 3 3 4 4 4 4 3 2 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 6 5 5 5 6 6 6 6 7 11 15 20 25 30 29 21 14 11 9 9 8 5 3 3 4 5 5 3 3 5 7 9 8 7 5 5 6 6 4 3 2 3 9 14 12 6 1 3 8 6 4 5 6 3 7 8 10 0 0 4 6 8 8 4 3 4 4 5 6 7 6 5 3 3 3 2 2 3 4 4 5 7 11 8 0 3 6 6 6 2 3 10 15 11 10 10 11 10 7 5 5 6 5 4 4 5 6 6 5 5 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 4 4 5 4 5 5 6 7 8 9 9 7 7 6 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 6 7 9 10 10 7 5 4 4 5 5 5 5 8 8 5 3 2 3 3 4 3 4 4 5 6 7 7 7 6 4 0 -4 -8 -9 -5 1 4 6 6 7 9 11 15 19 18 12 9 8 4 4 4 4 3 4 4 4 5 5 6 7 8 8 7 4 -1 -8 -9 -4 1 1 -1 0 2 4 4 5 5 6 6 5 4 5 6 7 6 6 8 10 10 8 7 4 3 3 3 3 4 4 4 4 4 5 4 3 3 4 5 5 4 4 4 5 6 6 8 9 9 8 7 6 6 7 7 7 7 7 6 6 6 6 7 7 5 4 4 5 5 6 7 8 8 8 7 6 5 5 5 5 5 4 4 6 7 7 7 6 5 5 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 3 3 3 3 4 4 5 6 7 7 7 6 4 3 3 2 1 2 3 4 5 5 4 4 4 4 3 1 1 1 1 2 2 3 4 4 4 4 3 3 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 5 5 5 6 6 6 6 8 11 15 19 24 29 27 20 13 10 9 8 7 5 3 2 3 4 4 4 4 5 7 9 9 7 4 4 5 5 4 3 2 5 12 14 9 5 6 8 9 4 6 1 6 3 7 9 11 2 -1 1 5 7 7 5 3 4 6 8 8 8 7 5 3 3 3 3 2 2 4 6 6 10 17 15 6 5 7 7 4 0 2 7 10 7 8 9 9 8 6 4 4 4 5 4 4 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 6 6 7 8 8 7 6 6 6 5 5 5 6 6 5 5 5 5 5 4 3 3 3 3 3 3 3 3 2 3 3 2 2 3 3 3 4 4 4 3 4 4 5 6 6 6 4 4 4 4 4 5 5 6 6 6 3 2 2 3 4 4 4 4 4 5 6 7 8 10 11 9 5 -1 -6 -7 -6 -4 0 3 5 6 6 8 11 15 19 16 10 7 5 3 3 2 2 2 2 2 3 3 2 2 4 6 8 9 6 -2 -9 -9 -2 4 5 3 4 5 4 4 5 4 4 4 4 3 4 6 8 4 1 7 9 7 6 4 3 3 4 3 4 4 4 4 4 4 4 3 2 2 4 4 4 4 4 4 4 5 6 8 9 8 7 5 4 5 5 6 7 7 7 7 7 6 6 8 8 5 5 5 5 5 6 6 7 8 8 8 7 5 6 7 6 5 4 5 7 7 6 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 2 2 2 3 3 3 3 3 4 6 6 7 7 7 6 5 5 3 2 2 2 3 4 5 5 5 5 5 4 3 2 1 1 2 2 2 3 4 4 4 4 3 3 3 3 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 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 5 6 6 6 7 6 7 9 13 15 18 22 24 22 17 12 10 9 9 7 5 3 2 3 3 3 4 4 5 7 9 10 8 6 5 5 5 5 4 2 5 12 12 7 5 7 9 10 5 8 5 7 3 6 13 13 5 0 -0 3 5 4 4 4 7 11 12 10 8 7 5 4 3 3 3 2 1 3 5 7 12 18 18 12 8 8 7 3 0 2 7 8 5 5 7 8 7 5 3 3 4 5 4 4 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 6 6 5 5 5 5 6 5 5 5 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 4 5 6 8 8 6 4 3 3 3 3 3 4 4 4 4 5 6 7 9 11 11 9 6 3 2 1 -1 -2 -1 -0 1 2 4 6 8 11 13 9 5 4 3 3 2 1 1 -1 -2 -0 1 -1 -3 -2 2 4 7 9 7 4 2 4 7 8 6 6 5 4 4 4 4 4 4 2 1 3 6 8 5 0 4 7 7 6 5 4 3 3 3 4 4 4 3 3 3 3 2 2 1 2 3 4 4 4 4 4 3 4 5 7 8 7 5 4 3 3 5 6 7 8 8 7 7 6 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 6 6 6 6 7 8 6 5 4 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 2 2 2 3 3 3 3 3 4 4 5 5 6 6 7 7 7 6 5 4 3 2 3 4 5 5 5 5 5 4 4 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 2 3 2 2 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 7 7 7 6 7 10 13 14 16 18 18 16 14 12 9 9 8 8 5 3 2 3 4 4 4 5 5 6 9 10 9 6 5 4 4 5 4 3 5 9 10 7 7 8 10 8 8 8 10 7 8 4 12 13 5 2 1 2 2 1 2 3 8 16 17 12 9 8 5 4 4 3 3 2 1 2 4 6 9 8 9 8 7 7 7 3 0 3 7 7 3 2 7 8 6 4 3 3 4 6 6 5 5 5 4 3 3 4 4 4 4 4 4 5 5 4 4 4 3 3 4 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 5 5 4 3 3 3 3 2 2 2 2 1 2 2 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 8 7 5 4 4 3 3 3 4 4 4 4 4 4 4 6 7 8 9 10 9 6 4 2 -1 -5 -8 -9 -6 -2 2 5 5 6 6 6 5 5 5 3 2 0 -2 -4 -4 -1 -0 -3 -2 1 4 5 8 11 11 10 8 8 7 7 7 6 5 5 5 6 5 4 3 1 1 6 9 8 7 6 8 8 7 6 5 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 4 5 4 4 3 3 4 5 6 6 6 5 3 2 4 6 7 8 8 8 7 7 6 6 6 7 6 6 7 7 6 6 7 7 8 9 10 9 8 8 7 6 5 7 8 8 6 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 2 3 4 4 3 2 3 3 4 4 4 4 4 5 5 6 7 8 8 7 5 4 3 3 4 5 5 5 5 5 5 5 4 4 3 3 2 2 2 3 3 4 4 4 4 5 5 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 7 7 7 7 7 8 10 12 12 13 14 14 12 11 10 9 8 7 7 5 3 2 3 4 5 6 6 6 7 9 10 8 5 4 4 4 5 4 4 7 10 9 7 9 10 8 6 10 7 7 7 14 5 6 8 4 2 2 3 4 1 1 2 5 15 17 12 9 8 5 4 4 5 6 5 4 3 3 5 4 1 5 6 6 6 6 5 4 7 9 6 3 3 7 8 6 5 3 2 3 6 7 6 5 4 4 3 3 3 4 4 4 4 4 5 5 5 4 4 4 3 4 4 4 4 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 2 2 2 2 2 2 2 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 5 5 6 6 7 7 6 5 4 4 4 4 5 5 5 5 4 3 2 2 4 5 8 11 12 11 6 1 -1 -3 -6 -8 -8 -6 -2 0 2 3 3 4 6 6 7 7 5 1 -1 -2 -1 1 3 3 4 5 5 6 7 9 10 9 7 5 6 6 5 6 6 7 8 7 5 4 5 5 2 3 6 7 7 7 8 9 9 7 5 4 4 3 3 2 2 2 3 3 3 3 3 3 2 3 3 4 5 5 5 4 4 4 5 5 6 6 7 6 2 2 5 7 8 9 9 9 8 7 6 6 6 6 7 7 8 7 6 6 6 8 9 10 9 9 9 7 5 5 6 8 8 7 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 3 4 4 3 2 2 3 3 4 4 4 4 4 4 4 6 7 9 9 8 6 4 3 3 4 5 5 5 5 5 5 5 6 6 4 3 3 3 3 3 3 4 4 4 4 5 5 4 3 3 3 3 2 2 2 2 3 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 5 4 4 5 6 7 7 8 8 7 7 7 9 11 11 11 11 10 10 10 9 9 8 7 6 4 3 2 3 5 6 7 7 7 8 10 10 8 5 4 4 5 4 3 4 8 11 9 8 9 9 3 3 9 7 5 12 18 8 1 1 3 3 5 7 8 5 3 1 0 6 12 12 9 8 6 4 3 4 7 7 7 6 5 4 2 2 5 6 5 5 5 6 8 11 10 6 4 6 9 9 7 4 2 2 3 5 5 5 4 4 4 4 3 3 3 4 3 3 4 5 5 4 4 4 4 3 3 4 4 4 3 3 4 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 4 4 3 3 3 3 2 2 2 2 2 2 3 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 7 6 5 4 2 1 2 3 6 9 14 17 13 5 2 1 0 -0 -1 -2 -3 -3 -1 1 1 1 2 4 6 8 6 2 3 4 5 5 6 6 6 6 5 5 6 6 7 8 8 6 5 7 6 6 7 9 11 10 7 5 5 7 5 2 4 5 5 5 7 9 9 8 6 6 5 4 3 2 1 2 2 2 3 3 4 3 3 3 3 4 5 5 6 5 3 4 4 5 6 6 8 9 3 1 5 7 9 10 11 10 9 8 7 6 6 6 7 7 7 7 6 6 6 7 8 10 10 10 9 7 5 5 6 7 7 7 7 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 nan nan
nan nan nan nan 4 4 4 4 3 3 2 2 2 2 3 3 4 4 4 4 4 4 5 6 7 8 9 8 5 4 3 3 4 4 4 4 5 4 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 5 4 4 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 6 5 4 4 4 4 4 4 4 6 7 7 8 8 8 7 7 7 9 10 9 9 9 9 8 8 8 8 7 6 5 3 2 2 3 4 6 8 9 9 8 10 10 8 5 4 4 4 3 3 5 10 11 9 8 9 9 2 0 5 6 3 11 15 8 3 0 4 3 6 10 13 7 4 1 -3 -2 8 11 9 8 7 4 0 0 3 6 8 8 6 4 4 5 4 4 5 6 6 6 10 14 12 7 5 9 10 8 5 4 2 2 4 7 6 3 4 4 4 3 3 3 3 4 3 3 4 4 5 5 5 4 4 4 4 4 3 3 4 4 4 5 5 5 6 6 6 6 5 4 5 5 5 5 5 6 6 6 6 5 5 4 4 4 3 3 2 2 2 2 2 3 4 5 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 5 4 2 3 4 6 10 15 18 16 10 4 3 2 2 0 -2 -1 -1 1 0 -2 -2 -1 1 4 4 5 6 6 5 6 7 7 6 8 6 5 5 5 6 7 7 6 5 6 8 9 9 9 10 8 6 5 4 5 5 4 4 5 4 4 5 7 7 8 8 7 6 5 3 2 1 1 1 1 2 3 3 4 4 4 4 3 4 5 6 6 3 3 4 5 5 6 7 8 6 3 5 7 9 11 11 11 11 10 7 6 7 7 6 6 6 6 6 5 5 6 7 9 10 10 9 7 5 5 5 6 7 8 7 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 5 5 5 4 4 3 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 5 6 7 8 7 5 4 3 3 3 4 3 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 5 6 7 7 8 8 8 8 7 8 10 10 8 7 7 8 8 7 7 7 6 5 4 2 2 3 3 5 7 9 10 9 9 10 9 7 4 3 3 3 3 5 9 11 11 10 8 8 11 6 1 3 3 1 4 6 6 5 3 6 4 4 9 11 8 4 2 -1 -1 5 9 10 10 8 5 1 -0 2 4 6 7 7 5 6 5 4 6 7 7 5 6 11 14 12 8 9 11 9 5 4 3 3 2 3 7 7 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 3 3 3 3 3 2 2 3 4 4 4 4 4 4 4 3 4 5 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 7 7 7 8 7 6 5 4 4 4 6 9 13 20 20 12 8 6 3 1 -1 0 3 7 5 -2 -5 -3 -2 0 4 6 7 6 5 6 7 8 8 9 9 6 5 5 5 6 5 4 3 4 7 7 7 7 6 5 5 5 4 4 4 4 4 4 4 5 4 5 6 6 7 7 8 6 4 3 3 3 2 1 2 3 4 5 5 4 4 3 3 4 5 6 6 2 3 5 5 6 6 6 6 5 6 7 8 10 11 12 12 11 8 7 6 6 6 6 6 5 5 5 5 5 6 7 9 9 9 7 5 4 4 5 7 8 8 7 6 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 5 4 4 4 3 2 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 7 8 7 5 4 3 3 3 3 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 4 4 4 4 3 4 3 2 1 1 1 2 2 2 2 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 5 6 7 7 8 9 9 9 7 9 13 12 7 4 5 6 7 7 7 7 6 4 3 2 2 3 4 6 8 10 10 10 10 9 8 6 4 3 3 3 4 9 11 10 9 9 6 4 8 8 6 4 2 1 -0 1 3 2 5 9 9 4 4 5 6 4 3 2 1 2 6 9 10 9 8 6 4 3 2 3 5 6 6 9 8 7 7 7 5 3 4 8 12 11 9 10 9 6 4 4 3 3 2 1 3 5 4 3 3 4 4 3 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 5 7 12 18 16 14 14 12 8 5 3 5 8 6 1 0 1 -0 2 6 7 7 7 6 6 6 7 8 9 10 8 7 6 6 5 4 4 3 3 5 6 6 5 4 5 5 5 4 4 3 4 4 4 4 5 5 5 5 5 5 5 7 7 6 5 5 5 4 3 4 4 5 5 5 4 4 4 3 3 4 5 8 5 2 5 5 6 6 5 5 6 7 7 8 9 11 12 13 12 9 7 7 6 6 6 7 7 6 6 6 5 5 6 7 8 9 7 5 4 3 4 6 7 8 8 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 5 5 5 5 4 4 4 4 4 3 3 2 2 3 4 4 5 5 5 5 5 4 5 7 7 7 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 1 1 1 1 2 2 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 7 9 10 11 9 10 16 26 21 8 2 3 5 6 7 7 6 5 4 3 2 2 3 4 7 9 11 11 10 10 9 8 5 4 2 1 3 8 12 10 8 7 7 6 -1 1 5 7 5 2 2 2 3 1 -0 3 11 12 5 2 2 3 4 4 3 -0 -1 3 8 10 9 9 10 8 4 2 1 2 3 6 10 12 10 7 4 4 3 1 2 6 8 9 10 7 5 4 3 3 3 3 2 1 4 4 3 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 6 6 6 6 5 4 4 5 6 8 10 13 16 18 17 13 10 9 8 8 7 7 7 6 6 7 8 6 7 8 6 6 7 7 8 9 9 10 9 7 6 6 5 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 6 5 5 5 6 7 7 6 5 5 5 4 4 4 3 3 3 3 4 6 6 4 5 5 6 6 5 6 7 8 8 9 9 10 12 13 13 10 8 7 6 6 6 8 8 9 8 7 6 6 5 5 6 7 7 5 4 3 4 6 6 7 8 7 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 5 5 4 4 4 4 4 4 4 4 5 4 3 2 3 3 4 4 5 5 5 4 4 4 5 7 7 6 5 5 4 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 2 3 2 2 1 1 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 5 4 5 4 5 5 5 5 4 4 4 4 4 5 5 6 7 7 9 11 11 10 15 25 27 21 9 -2 -1 4 6 7 7 6 5 4 3 2 2 3 5 7 10 11 11 10 10 9 8 5 2 2 2 6 11 10 7 5 6 8 11 2 -1 2 4 3 2 3 5 6 1 -1 3 9 11 7 5 4 3 3 4 3 -0 -2 1 5 8 8 9 11 10 6 3 0 -2 1 6 10 12 9 4 1 4 6 1 -3 -0 3 9 11 6 4 3 2 2 3 3 2 4 8 7 4 4 4 4 3 4 4 3 3 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 7 9 13 17 16 15 14 11 11 13 14 11 9 8 6 6 6 8 11 10 10 11 10 11 10 8 10 11 9 6 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 4 3 4 4 5 6 6 5 5 5 5 5 4 4 4 5 7 8 8 8 7 5 4 3 4 4 3 3 3 3 4 4 5 5 5 5 5 5 6 7 8 9 10 10 11 12 13 13 11 10 8 7 5 6 8 9 10 10 9 9 7 5 3 4 6 5 6 6 4 4 5 6 6 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 5 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 4 5 5 5 4 4 3 4 5 6 6 6 5 5 5 4 4 5 5 5 5 6 5 4 4 4 4 5 5 5 5 5 4 4 3 1 0 0 2 3 4 3 2 1 1 2 2 1 1 1 2 2 2 2 2 2 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 4 5 5 6 5 5 4 4 4 4 5 6 6 6 7 9 10 11 12 16 20 10 5 5 -2 -3 3 6 7 7 6 5 3 2 1 2 3 5 8 11 11 10 10 10 9 8 4 2 2 6 9 8 6 5 4 5 8 12 7 3 3 4 2 2 5 7 7 2 -0 3 6 7 7 7 5 3 2 2 4 2 1 2 3 6 7 8 10 10 7 5 2 -0 4 9 9 8 6 3 1 6 8 2 -1 -2 2 14 15 8 3 -0 -1 1 4 6 5 6 12 11 5 4 4 4 4 4 3 3 3 4 5 4 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 3 2 3 3 3 4 4 4 4 4 5 4 4 4 5 4 4 4 4 5 4 5 4 4 4 4 4 3 4 4 4 4 5 5 5 5 6 6 6 6 5 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 7 9 11 12 12 10 9 12 17 17 13 11 8 5 5 9 15 16 15 16 15 14 12 9 8 9 7 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 6 6 5 5 5 4 3 3 3 4 6 8 10 9 6 4 2 3 4 4 4 3 3 3 4 5 5 5 5 5 5 6 7 8 9 11 12 13 13 13 13 13 12 9 6 5 6 8 10 11 11 11 11 8 6 5 5 5 5 8 7 5 4 5 5 6 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 3 3 3 4 5 5 5 5 4 3 3 4 5 6 5 4 4 4 4 4 4 4 3 4 4 5 4 5 5 6 6 6 6 5 4 4 5 4 3 2 2 3 5 5 3 2 1 1 1 1 1 0 1 1 1 2 2 1 2 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 4 4 4 5 4 4 5 4 5 5 5 6 5 5 4 4 4 4 5 5 6 7 8 9 9 12 15 15 11 -2 -6 1 1 -4 -1 3 6 8 7 5 4 2 1 1 3 5 8 11 11 10 10 9 8 6 3 2 4 7 8 5 4 5 6 4 5 9 7 2 4 8 6 8 7 6 5 1 3 5 6 6 6 7 5 3 1 1 3 4 4 4 5 6 6 7 8 9 7 7 5 6 10 13 7 5 5 3 3 7 7 3 2 2 7 19 19 9 2 -4 -4 -0 6 13 9 7 13 12 5 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 6 5 4 3 3 3 4 4 4 5 4 4 4 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 5 5 4 4 4 4 3 3 3 3 3 4 5 6 6 7 6 5 7 11 14 13 12 9 5 6 8 13 13 10 10 10 9 10 8 7 6 6 6 5 5 5 5 4 4 4 5 5 5 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 2 2 3 5 8 10 7 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 7 9 9 12 15 16 15 14 13 13 11 8 5 5 6 8 9 10 12 12 11 9 6 5 6 7 8 8 6 5 5 3 4 5 5 5 5 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 4 5 6 6 5 4 3 3 4 5 4 4 4 4 4 4 4 3 3 2 3 3 4 4 5 5 5 6 6 4 3 4 5 5 6 6 5 5 5 4 3 2 2 1 1 1 1 1 1 1 1 1 1 1 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 4 4 5 5 5 5 5 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 6 7 8 8 10 15 20 18 9 -5 -12 -4 -0 -3 -2 1 3 7 9 7 4 2 1 2 3 5 8 11 11 9 8 8 7 4 2 3 5 6 6 4 3 5 8 6 7 8 5 -3 3 10 13 15 9 4 3 2 4 7 6 6 5 5 4 3 1 1 3 5 7 8 8 8 7 7 8 8 6 6 9 11 14 12 3 3 5 2 3 7 6 5 7 11 16 20 18 10 2 -4 -6 -0 10 18 12 7 11 10 6 5 5 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 5 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 4 5 4 5 4 4 3 3 4 4 5 5 4 3 3 2 2 2 3 3 3 4 4 5 5 6 5 4 4 6 7 7 7 5 5 6 6 6 4 3 3 5 6 6 6 6 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 6 5 4 4 3 2 3 5 7 7 5 4 3 3 3 4 4 4 4 4 5 5 5 5 4 4 5 7 8 8 12 17 19 19 16 14 11 9 6 5 5 6 8 10 10 11 12 11 9 7 6 6 9 10 7 6 5 4 3 3 3 4 4 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 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 3 4 4 5 6 6 7 6 5 4 4 4 4 4 4 4 5 5 4 4 3 3 2 3 3 4 3 3 4 5 5 5 3 3 4 6 7 8 8 6 5 4 3 2 2 2 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 8 13 22 29 28 18 -1 -16 -12 -2 1 -0 -1 1 5 8 8 6 4 2 2 3 5 8 10 9 8 8 7 5 3 2 5 6 5 4 3 3 8 9 4 6 9 6 -2 2 7 14 16 11 2 0 2 3 5 7 5 3 2 2 2 2 2 3 5 7 9 11 11 10 8 7 6 4 5 9 11 14 12 -0 3 7 3 4 5 7 13 21 23 17 16 18 12 3 -5 -5 3 15 18 10 7 11 10 6 5 5 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 5 5 6 6 6 5 4 4 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 3 4 4 4 4 3 2 2 1 2 3 4 4 4 4 5 5 6 7 5 4 4 3 3 4 4 4 4 5 5 5 3 3 4 5 5 6 6 7 7 7 6 6 6 6 5 5 5 5 5 5 4 4 4 2 1 1 4 5 4 3 3 3 3 3 4 5 5 6 6 6 6 5 4 3 3 4 5 5 5 3 2 3 4 4 4 4 4 5 5 6 5 3 3 4 6 6 8 10 16 21 21 19 15 11 8 6 5 5 8 9 11 12 11 10 9 9 8 6 6 8 8 7 6 5 3 2 2 3 2 2 2 1 1 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 7 8 8 7 5 4 5 5 4 3 4 4 4 5 5 5 4 3 3 3 3 3 3 3 4 5 6 5 5 5 5 8 9 10 8 6 4 3 3 2 2 2 2 2 3 2 2 2 2 3 3 3 3 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 5 5 4 4 5 4 5 5 5 5 5 5 5 5 5 6 6 7 7 11 20 29 32 33 28 8 -15 -16 -5 3 2 -1 -0 4 8 8 7 5 3 2 3 5 7 9 9 7 5 4 3 3 4 6 6 5 5 3 1 6 10 6 2 6 6 2 2 5 9 10 10 3 -1 1 4 7 7 4 1 -1 0 2 3 4 5 6 7 10 12 13 12 10 8 6 4 3 7 9 14 14 2 3 5 5 5 3 9 24 34 28 16 18 25 17 3 -5 -5 6 17 16 8 8 13 10 6 5 5 5 4 3 3 3 3 4 4 4 4 5 5 5 5 5 6 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 5 5 4 4 5 5 5 5 5 5 4 5 5 5 4 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 5 4 4 4 5 4 3 2 2 2 3 4 5 4 4 4 4 4 5 6 6 6 6 4 4 4 4 3 3 4 6 6 5 4 5 5 5 5 6 6 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 2 -2 -4 -0 3 4 3 3 3 3 3 3 4 5 6 6 7 7 7 5 5 4 5 5 6 6 4 3 3 4 4 4 4 4 5 6 6 5 4 3 4 5 6 6 8 11 16 19 18 15 11 9 8 7 7 9 10 12 12 11 9 9 8 8 7 6 7 7 6 5 5 3 2 1 3 2 2 2 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 4 5 6 6 6 6 6 6 6 6 7 6 6 7 7 6 7 7 6 6 7 7 8 9 8 6 4 5 5 5 3 2 2 3 4 5 6 5 5 4 4 3 4 3 3 3 4 6 8 7 5 5 5 7 9 9 7 6 5 3 2 2 3 3 3 3 4 4 3 3 3 3 4 3 3 3 2 1 0 0 0 0 0 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 6 5 5 5 6 7 12 20 26 25 23 23 20 7 -10 -15 -6 2 5 5 4 5 8 9 8 6 4 3 4 5 7 8 8 6 4 2 2 4 5 4 4 6 8 9 3 -3 1 7 7 4 3 3 3 4 6 6 4 5 3 2 4 7 5 3 1 1 3 5 7 7 8 9 8 9 12 13 13 11 8 6 6 6 6 9 13 10 6 4 3 5 5 1 8 23 28 20 18 29 33 19 4 -4 -2 8 16 12 7 10 15 10 5 5 6 5 4 3 3 3 4 4 4 4 5 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 5 5 5 5 4 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 5 5 4 4 5 4 4 3 3 2 3 5 5 4 4 4 4 3 3 4 5 6 7 7 6 5 4 3 2 3 5 6 5 5 6 5 4 4 5 6 6 7 7 6 6 6 6 5 5 5 5 4 3 3 4 4 -0 -7 -7 -2 2 3 3 3 3 3 3 4 4 5 6 6 7 7 6 5 5 5 5 6 7 6 4 3 4 4 5 4 4 4 5 6 6 4 3 3 4 5 6 7 8 10 12 14 12 10 10 10 9 8 9 10 12 12 11 10 10 9 8 7 7 7 6 5 4 4 3 3 2 1 2 3 3 3 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 2 2 2 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 6 5 4 5 5 5 3 2 2 3 4 5 6 6 6 5 4 4 4 4 3 3 6 10 9 5 3 3 4 6 8 7 7 6 4 4 3 3 3 4 4 5 5 4 3 3 4 4 4 4 3 2 1 0 -0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 12 21 24 19 14 14 14 6 0 -8 -12 -3 5 10 12 10 9 10 11 9 7 5 4 4 5 7 8 8 5 3 2 2 4 5 3 3 4 7 10 8 -0 -4 0 4 4 3 4 5 5 8 9 6 8 8 4 4 3 3 2 2 4 7 9 10 10 10 8 6 8 11 13 12 11 8 6 7 9 9 9 8 3 5 5 3 6 3 -5 -3 7 13 13 23 37 33 16 4 -2 1 11 14 9 7 10 14 11 4 5 6 5 4 3 3 3 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 4 5 5 4 4 4 4 4 4 4 5 4 5 5 4 4 5 5 4 3 3 3 4 5 5 4 3 3 4 3 3 3 4 6 8 8 7 4 2 1 1 2 5 6 6 7 7 5 4 5 6 7 7 7 7 6 6 6 6 6 6 5 4 3 2 3 7 7 -1 -7 -5 -0 3 3 4 4 4 4 4 4 4 4 5 6 7 7 6 6 6 6 6 7 8 6 3 3 5 4 4 4 4 4 5 6 5 4 4 4 4 5 6 6 7 8 9 8 8 8 10 11 10 8 10 11 12 11 11 10 10 9 8 7 6 6 5 4 4 5 4 1 -0 1 1 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 4 3 2 2 2 3 4 4 5 5 4 5 5 4 4 4 4 4 4 4 5 6 6 8 8 8 7 7 6 4 4 5 5 6 6 4 3 2 3 5 6 6 6 5 5 5 5 4 4 4 6 9 9 6 3 4 5 5 6 7 6 6 6 5 5 4 4 4 3 5 5 5 4 4 4 4 4 3 3 2 1 0 1 2 2 2 1 1 1 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 7 6 8 9 10 13 20 25 19 6 4 11 11 -3 -10 -7 -4 3 9 14 16 16 13 12 12 10 7 5 4 5 6 7 8 7 5 3 1 3 4 4 4 5 5 4 3 6 9 7 0 -2 2 5 6 5 7 11 14 14 13 11 7 6 4 3 3 4 7 9 10 9 8 5 2 2 6 11 12 12 11 9 7 6 9 11 10 5 -1 3 6 6 7 1 -9 -13 -2 10 17 28 37 28 13 3 -0 5 12 11 7 8 11 15 13 5 5 6 5 4 4 3 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 5 5 4 3 3 4 5 5 4 3 3 3 3 3 3 3 4 6 8 8 6 3 -1 -2 -1 3 5 7 8 8 5 4 5 6 8 9 8 8 7 6 6 6 6 6 6 5 3 2 3 8 13 9 2 -0 2 3 3 3 4 4 4 4 4 3 4 4 5 6 7 6 4 6 7 7 7 8 9 5 3 4 4 4 4 4 4 5 6 5 4 3 4 4 5 5 5 5 6 6 5 6 6 7 9 9 8 9 9 10 10 9 9 9 9 8 7 7 7 6 5 5 6 4 1 -0 0 0 1 2 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 6 5 4 2 2 2 2 2 2 3 3 3 2 2 3 3 3 2 3 3 3 4 5 6 7 7 7 7 6 4 3 3 5 7 8 7 5 3 3 4 6 7 6 6 5 5 5 5 5 4 5 7 7 5 4 5 6 6 6 7 8 8 8 7 6 6 5 4 3 5 6 7 6 5 4 4 3 3 2 1 1 2 3 3 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 6 7 8 8 8 8 11 14 16 19 23 21 9 -1 -1 7 9 -5 -13 -3 4 7 10 15 18 18 15 14 14 12 8 5 5 5 6 8 8 7 5 3 2 1 2 5 5 8 10 5 5 5 3 4 5 5 4 6 6 7 10 13 14 15 14 11 9 8 5 4 5 6 8 7 6 5 5 0 -3 -0 5 9 12 13 11 8 7 6 7 10 11 5 -0 3 8 9 7 0 -7 -6 5 16 22 29 31 21 10 4 3 7 10 8 7 8 11 16 13 6 5 6 5 4 4 3 3 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 4 5 6 5 4 5 6 6 5 3 3 3 3 3 3 3 4 5 6 8 7 4 0 -3 -3 -1 3 6 7 7 4 3 4 4 6 8 9 9 8 6 5 5 5 6 6 5 4 4 5 8 13 14 8 5 4 3 3 3 3 4 4 4 4 3 3 4 4 5 6 8 5 3 6 7 7 8 10 8 3 4 6 5 4 4 4 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 7 7 6 5 3 1 1 0 0 1 3 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 5 7 8 7 7 7 5 3 2 4 6 8 8 7 4 3 4 6 7 6 5 5 5 6 6 6 5 6 6 5 4 3 3 4 5 6 7 9 10 11 10 9 7 6 4 4 5 7 8 7 6 4 3 3 2 1 1 2 3 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 6 7 10 11 10 11 15 17 18 19 19 13 3 -3 -2 3 4 -1 -2 2 6 7 10 14 18 19 16 15 16 14 9 6 5 6 7 9 9 8 6 4 2 1 3 5 5 8 12 6 10 13 5 -2 1 5 5 6 6 9 12 11 9 9 9 8 8 7 5 4 5 7 7 4 1 2 3 1 -1 1 5 9 13 14 13 10 7 5 7 9 9 7 2 3 9 11 6 0 0 7 12 14 21 26 24 16 9 5 5 6 7 6 6 8 11 14 12 6 5 6 5 5 4 3 3 4 4 4 5 5 4 5 5 5 5 5 5 5 5 6 5 4 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 4 3 4 4 4 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 4 4 5 4 4 4 4 5 5 4 3 3 4 5 6 6 5 5 6 6 5 4 3 3 3 4 3 3 3 4 5 7 7 5 1 -1 -2 -1 2 4 6 5 3 2 2 2 3 5 6 7 6 6 4 4 4 5 5 4 5 8 10 7 6 10 9 5 5 5 4 3 3 4 4 4 4 3 3 4 4 4 6 9 7 3 5 7 7 7 8 8 6 6 6 6 5 4 3 4 5 5 5 5 4 4 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 5 6 7 8 8 7 7 7 8 9 10 10 9 7 5 3 2 2 2 2 3 6 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 5 4 3 3 2 2 2 1 1 1 1 1 1 0 1 1 1 1 2 3 5 7 7 7 7 7 4 3 3 5 8 8 6 5 4 4 4 5 5 5 4 5 6 6 6 6 7 7 6 4 3 2 2 3 4 6 8 10 12 12 11 9 7 6 5 6 8 8 7 5 3 2 2 1 1 1 3 4 5 5 5 6 6 5 4 4 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 8 11 13 12 12 14 15 14 14 13 9 4 -1 -3 0 1 3 5 5 7 8 10 14 17 18 16 17 19 16 9 6 5 6 6 8 8 7 6 4 -0 -2 1 5 4 5 8 6 8 12 11 4 1 3 5 5 7 11 11 6 3 2 3 5 7 6 6 5 6 6 5 2 -1 1 4 4 3 5 6 9 13 14 12 10 9 9 7 7 9 9 4 4 9 11 6 0 5 18 16 12 19 22 18 11 7 5 3 4 5 6 7 9 13 17 11 5 4 6 5 4 4 3 3 4 4 4 5 5 5 5 4 5 5 5 5 5 6 6 5 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 5 5 4 3 3 3 4 5 5 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 4 4 3 3 3 3 3 3 2 3 4 6 7 6 3 0 -0 0 2 4 5 6 5 3 2 2 1 2 3 4 4 4 3 4 4 4 4 4 7 12 13 6 -0 1 6 7 7 7 6 5 4 4 5 5 4 3 3 4 3 3 5 7 7 5 5 6 6 6 6 6 6 6 7 7 6 5 3 3 4 5 6 5 5 4 4 3 3 3 4 5 6 7 8 8 7 6 5 5 5 5 5 5 6 8 8 8 7 7 7 8 9 10 11 11 8 6 4 3 3 4 5 7 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 7 7 7 6 5 5 5 5 5 4 5 4 4 2 1 -0 -0 -0 0 1 2 3 5 5 5 5 7 6 5 4 5 7 8 6 5 4 3 3 3 3 4 4 4 5 6 6 7 8 8 6 5 4 3 3 2 2 3 4 6 9 11 12 11 10 8 6 6 8 8 6 3 3 2 1 1 2 2 3 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 6 8 10 11 11 10 10 10 10 10 10 9 11 8 -1 -4 -2 1 3 5 6 7 8 10 12 15 17 18 21 23 17 10 6 5 5 4 5 6 6 5 4 1 -2 0 4 3 1 2 5 7 7 4 6 8 7 6 6 7 10 9 2 -1 -1 3 6 7 6 6 6 5 4 4 3 1 2 4 6 7 8 7 8 11 12 12 11 13 15 11 7 11 10 5 5 8 9 5 -1 4 23 23 16 17 14 8 5 5 2 1 4 6 6 8 10 12 15 9 4 4 5 5 4 4 3 4 4 4 4 4 5 5 5 5 5 4 4 5 6 6 6 5 5 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 4 3 3 4 5 5 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 5 6 5 4 4 3 3 3 3 3 3 2 3 4 5 6 6 4 1 1 1 2 4 6 8 8 6 4 4 3 3 3 3 3 3 4 4 5 5 4 5 9 13 11 4 -1 -3 -1 4 7 8 8 8 7 7 7 6 4 2 2 3 4 4 4 5 5 4 4 5 5 6 6 6 5 6 6 8 8 6 5 3 3 4 5 5 5 5 4 4 3 2 3 3 4 6 8 10 10 8 7 5 4 4 5 4 5 7 8 7 7 6 5 5 6 9 11 13 12 9 6 4 5 5 6 7 10 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 7 5 2 0 -0 -0 -0 0 1 3 4 4 4 6 7 7 6 6 7 8 7 5 4 3 3 2 2 3 4 4 5 5 5 6 7 7 6 5 5 5 5 4 2 1 1 2 5 8 10 11 12 11 9 8 7 6 4 3 2 2 2 2 2 3 4 4 4 4 5 4 4 4 4 5 4 4 3 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 4 4 3 4 3 4 4 4 4 5 5 5 6 7 10 13 12 9 6 7 7 7 9 11 9 10 7 -5 -7 -1 3 4 5 6 7 8 9 11 14 16 19 24 25 17 10 5 2 1 2 3 6 7 6 5 4 2 3 4 3 2 2 4 6 5 5 5 4 5 7 6 6 6 3 -1 -2 1 5 7 6 6 6 6 3 1 2 4 4 4 5 8 9 8 6 6 9 11 11 10 15 19 13 8 11 9 5 5 8 8 3 -2 2 18 24 20 14 4 -3 -0 3 1 3 9 9 7 9 9 10 11 8 4 5 5 5 5 4 3 4 4 5 4 4 4 5 5 5 5 4 4 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 5 6 6 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 3 1 1 1 2 3 6 10 11 8 6 5 5 4 4 4 3 3 4 5 5 5 5 6 11 14 10 4 0 -3 -5 -0 5 8 10 11 11 11 10 7 5 3 2 3 4 4 4 4 3 3 3 3 4 5 5 5 5 5 6 7 8 8 6 4 3 4 5 5 5 6 5 4 3 3 3 3 3 4 6 9 12 12 9 7 4 4 3 3 4 5 5 5 5 5 4 3 3 7 11 14 15 14 10 6 5 5 6 7 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 6 7 7 8 8 9 10 11 11 12 13 13 11 8 4 1 -0 -0 -0 1 2 3 4 4 5 8 9 7 6 6 7 7 5 5 4 3 2 2 3 4 5 5 5 5 4 4 4 5 5 5 5 6 5 4 2 1 1 2 4 7 9 11 13 13 11 8 6 3 1 1 2 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 5 6 6 8 13 16 14 9 7 7 7 7 8 11 11 6 -2 -11 -7 0 4 5 5 5 7 8 9 11 14 16 20 25 25 16 8 4 -1 -2 1 4 6 6 6 5 4 5 7 7 6 7 4 3 4 5 7 5 3 5 7 6 4 -1 -2 -1 2 4 5 4 4 6 7 5 2 -0 1 4 6 6 6 8 8 6 4 3 6 10 9 7 8 12 10 6 6 5 5 6 8 8 8 6 5 15 24 21 9 -4 -9 -0 6 5 9 13 11 9 9 9 9 12 10 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 5 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 3 4 4 4 4 3 3 3 3 4 4 5 4 3 2 1 1 2 3 6 10 12 9 5 5 5 4 4 4 4 4 4 5 5 6 6 7 11 14 11 5 1 -2 -4 -0 3 5 10 14 15 14 11 8 5 3 3 3 4 4 5 5 4 3 2 2 3 3 4 5 5 5 5 6 7 8 7 5 3 3 4 4 6 6 5 5 5 4 3 3 3 4 5 8 11 13 13 10 7 4 3 3 3 4 4 3 3 4 4 2 2 7 11 15 18 18 11 5 5 6 6 7 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 4 5 5 5 6 6 8 8 9 10 10 12 14 15 13 9 5 2 1 1 1 2 3 4 5 5 8 10 8 4 3 5 6 5 5 4 4 4 3 3 4 5 6 6 5 4 3 3 3 4 4 5 5 6 5 4 2 1 1 1 3 5 8 12 15 14 11 6 3 2 1 2 3 3 2 2 2 3 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 5 6 6 9 15 16 13 9 7 7 7 7 8 12 12 4 -7 -11 -4 2 4 4 4 5 7 8 10 11 14 17 21 24 22 15 7 2 -3 -2 3 5 5 4 4 5 5 5 6 7 9 11 5 -0 1 6 8 6 4 7 8 6 2 -2 -2 3 8 7 6 3 3 4 5 4 4 2 3 5 6 5 5 7 7 5 4 2 3 7 8 6 4 4 6 5 3 2 4 7 8 7 16 19 15 18 25 19 6 -7 -7 6 11 12 15 15 12 9 9 9 10 13 10 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 5 6 6 6 5 5 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 5 6 6 6 5 4 5 5 5 4 4 4 4 4 5 5 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 4 3 2 2 2 3 5 9 11 8 4 3 3 3 3 3 3 4 4 4 5 5 6 7 9 13 14 8 1 -2 -1 2 2 4 8 14 18 17 12 8 5 4 3 3 4 5 5 5 4 3 3 2 2 2 4 4 4 5 5 5 6 6 6 5 4 3 3 3 4 5 6 6 5 4 4 4 3 4 4 6 9 12 13 13 11 9 7 6 5 4 3 3 4 4 4 3 3 6 10 14 19 18 10 4 4 5 6 7 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 2 4 4 4 4 3 4 5 6 7 8 8 8 8 11 14 16 14 11 6 4 2 2 2 3 4 5 5 8 10 6 2 1 3 4 5 4 4 5 5 4 4 5 6 7 7 5 4 4 4 4 4 4 4 5 5 5 4 2 2 1 1 1 2 4 7 13 15 13 8 4 2 2 2 3 3 3 2 2 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 3 3 3 3 5 5 6 5 7 12 13 11 9 7 7 7 7 7 11 12 4 -6 -6 -0 3 4 4 4 5 7 8 10 12 14 17 19 20 18 13 6 -0 -3 -0 4 5 3 4 5 5 5 6 4 2 5 9 6 0 -0 5 7 6 6 6 5 6 3 2 3 9 11 9 7 6 4 4 4 5 5 4 4 4 3 3 5 7 7 5 5 3 3 6 9 8 5 5 7 6 3 3 5 5 4 6 17 22 17 19 24 17 4 -7 -1 16 20 18 17 14 10 9 8 9 10 12 10 5 4 5 5 5 5 4 4 4 4 5 5 5 6 5 5 5 5 6 6 6 6 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 3 2 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 4 4 3 2 2 2 5 7 6 4 3 3 3 3 4 4 4 4 4 4 5 5 5 7 12 16 11 -0 -1 4 3 2 3 6 11 16 16 13 8 5 4 3 3 4 5 5 4 4 4 4 3 2 2 3 4 4 5 5 5 5 5 5 5 5 4 3 3 4 4 5 5 5 5 5 5 4 4 4 4 6 8 11 12 13 13 11 9 7 6 5 5 5 5 5 6 4 4 7 10 12 11 7 4 4 4 5 6 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -1 -0 1 2 4 4 3 3 4 4 5 7 8 7 7 7 8 10 13 14 13 10 7 6 4 4 5 6 6 7 8 9 6 3 2 3 4 4 5 5 5 5 5 5 6 7 7 6 5 4 5 5 5 5 5 5 5 5 4 3 2 2 1 0 0 0 1 4 8 12 12 10 6 4 3 3 3 4 4 3 2 2 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 3 4 3 4 4 4 4 3 3 3 3 3 4 5 5 5 5 9 11 11 9 8 7 7 7 8 10 9 3 -2 -1 2 4 4 4 5 5 6 8 10 13 14 16 15 14 13 9 4 -1 -1 1 4 5 3 5 7 4 6 9 6 0 0 5 6 2 2 4 5 6 4 1 4 6 6 6 7 11 10 7 6 6 5 3 4 7 6 5 4 2 -0 2 5 6 6 6 7 6 6 11 13 11 10 11 12 8 5 6 6 4 3 6 8 10 13 18 22 16 3 -4 7 24 25 19 14 11 9 8 8 9 9 11 11 7 4 5 5 5 5 5 4 4 4 5 5 6 6 6 5 5 5 6 6 6 5 5 4 5 5 5 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 6 6 5 5 4 4 5 5 5 5 4 4 3 3 4 3 2 2 2 3 4 4 4 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 5 5 5 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 4 3 2 -0 -5 -4 -0 2 3 4 4 4 4 5 5 5 5 5 5 4 4 4 6 11 16 11 1 2 5 4 3 4 5 8 12 13 12 9 6 5 4 4 4 5 5 4 5 5 5 5 4 3 3 4 4 4 5 5 5 5 5 5 5 4 3 3 4 4 5 5 5 5 5 5 4 4 4 4 5 5 7 9 11 13 12 10 9 9 9 9 8 7 6 7 5 3 4 6 6 5 5 5 5 5 4 4 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 0 -0 3 5 5 4 4 4 4 6 7 7 6 7 7 8 9 10 11 11 10 10 11 12 13 12 10 9 10 11 9 5 3 3 4 4 5 5 5 5 5 6 7 7 6 5 4 4 4 6 7 7 7 6 6 5 5 4 3 2 1 1 0 0 1 2 4 7 10 10 8 7 6 4 4 5 4 3 2 1 2 2 3 4 3 4 4 5 4 4 3 3 3 4 4 4 4 3 2 2 2 3 3 3 4 3 3 4 4 4 3 3 3 3 4 4 5 5 4 4 6 11 13 11 9 7 7 8 9 7 3 0 1 2 3 4 4 4 5 5 6 8 11 13 14 14 12 9 7 4 1 -0 1 1 3 4 4 5 5 1 2 6 9 5 2 2 3 4 4 5 4 4 2 3 8 8 7 7 8 7 7 6 5 5 4 4 6 7 5 3 2 0 -0 2 5 5 7 8 11 11 11 13 13 8 6 11 14 11 7 9 7 2 4 6 2 4 11 18 21 15 3 -1 10 25 24 17 11 8 8 8 8 7 8 13 14 8 4 5 5 6 5 5 5 4 4 5 5 6 6 5 5 5 5 5 6 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 6 7 6 6 5 4 4 5 5 5 5 5 4 5 4 3 3 3 3 2 2 3 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 4 3 1 -2 -7 -8 -5 -4 1 4 5 5 5 5 6 6 7 6 6 6 5 4 5 9 12 10 5 5 6 4 3 4 5 6 8 10 11 10 9 7 6 5 6 6 5 4 6 7 8 7 6 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 6 7 9 10 10 10 9 10 10 10 11 10 9 8 6 3 3 4 3 2 4 6 6 6 5 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 3 2 6 9 8 6 4 3 3 4 6 5 4 5 7 8 7 7 8 9 10 14 19 22 20 14 10 8 9 13 14 11 7 3 3 3 4 4 4 4 4 5 6 5 4 4 4 5 5 6 7 7 6 6 6 6 6 6 5 4 3 2 1 2 2 2 3 4 6 8 9 10 9 8 7 6 5 4 3 2 2 2 3 3 3 3 4 5 4 4 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 4 3 3 3 4 4 5 5 4 4 4 4 12 16 12 9 7 7 9 9 3 -2 0 3 3 4 4 4 5 5 6 6 8 11 13 13 12 9 5 3 1 0 2 2 2 3 4 5 5 3 3 5 7 9 7 2 1 2 4 5 6 6 6 8 13 16 13 9 8 8 5 5 4 5 5 5 6 8 6 2 0 0 -0 2 4 6 6 9 12 14 13 12 12 6 -6 -9 3 13 11 6 8 5 1 1 3 5 9 14 21 22 15 2 -0 12 23 21 15 9 6 6 7 7 6 9 13 11 5 4 6 6 6 6 5 5 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 6 5 5 5 5 6 5 5 6 6 6 6 6 6 5 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 3 5 5 3 -1 -0 -1 -3 -3 1 4 5 5 5 5 6 6 7 7 7 6 5 5 5 6 8 8 8 8 6 5 4 3 4 4 4 5 7 10 10 9 9 8 7 7 5 5 6 9 10 10 8 6 6 5 4 4 5 5 5 5 5 5 4 4 5 5 4 4 4 5 5 5 5 6 6 5 4 4 4 4 5 6 7 8 9 8 7 8 9 10 11 12 11 9 8 7 5 4 3 1 3 6 7 7 7 6 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 10 10 12 14 13 9 4 1 1 3 3 3 3 4 7 8 8 7 6 6 9 15 20 21 15 8 3 2 4 11 15 16 11 5 2 2 2 3 3 3 3 3 3 3 3 4 5 6 7 6 6 5 5 5 5 6 6 7 6 6 5 4 2 2 3 3 3 3 4 6 7 9 10 11 10 9 8 7 5 4 4 3 3 4 4 4 4 5 4 4 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 4 3 3 6 15 19 13 9 8 7 10 11 1 -4 0 3 4 4 4 5 5 6 6 6 8 11 14 13 12 11 5 2 3 3 4 3 3 3 4 6 5 6 8 4 4 10 10 -0 -2 1 4 5 8 9 8 9 15 16 13 9 7 7 6 6 4 4 4 5 6 6 3 -0 -1 0 3 5 8 9 9 9 9 9 8 7 6 2 -10 -14 -3 8 7 1 3 4 2 2 7 12 13 16 23 22 13 2 2 13 20 18 12 7 6 7 7 6 6 9 10 7 4 5 7 6 6 6 6 6 5 5 5 5 5 6 5 5 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 4 5 4 5 5 5 5 5 4 5 5 4 5 5 4 4 4 4 5 6 6 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 6 10 6 3 4 4 2 0 2 4 5 5 5 5 5 6 6 7 7 7 6 6 6 5 6 6 7 8 7 6 4 3 3 4 3 3 3 5 8 9 10 10 9 7 6 5 6 8 10 11 10 9 7 6 5 4 4 5 5 5 5 5 5 4 4 4 5 5 4 5 5 5 5 6 5 6 5 5 4 4 4 4 5 6 7 7 6 5 7 9 11 13 13 12 11 9 8 7 5 4 3 4 5 6 7 6 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 12 12 13 16 18 12 5 1 1 3 3 2 3 5 6 8 8 9 8 7 9 14 15 11 6 3 -0 -1 0 5 10 15 14 8 3 2 3 3 3 3 3 2 2 2 2 4 7 9 8 5 4 3 3 4 4 4 5 6 6 7 7 6 3 3 4 4 4 4 3 4 4 6 8 9 9 9 9 9 8 7 7 6 5 6 6 5 6 6 6 5 5 5 4 4 3 3 3 4 3 3 3 3 4 4 4 3 3 3 3 3 4 5 5 5 5 5 4 3 3 3 7 15 19 13 10 10 10 11 9 0 -2 1 3 4 4 5 5 6 6 6 6 8 13 18 16 12 11 8 5 5 5 5 5 4 5 6 6 7 11 9 -5 -3 10 9 -1 -4 0 4 6 7 8 7 7 8 6 4 4 4 5 7 5 3 3 4 5 5 1 -2 -3 -1 2 7 10 11 12 11 8 4 1 2 2 1 -1 -4 -5 -1 2 -1 -3 3 12 14 13 15 17 16 19 23 20 10 2 4 14 19 16 10 7 6 7 6 5 6 8 9 8 6 6 8 7 5 6 7 6 6 6 6 5 5 5 5 5 6 5 5 4 5 5 4 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 5 6 5 5 5 5 5 5 4 4 3 3 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 5 5 5 6 6 6 5 4 4 4 8 10 7 5 5 4 3 -0 -2 0 4 5 5 6 6 6 6 7 7 7 7 6 6 5 5 6 7 8 7 7 5 3 3 3 3 3 3 3 5 6 8 9 8 7 5 5 5 6 7 9 10 10 9 8 7 5 4 4 5 5 5 5 5 5 4 5 5 4 4 4 5 6 6 5 6 6 6 5 5 4 4 4 4 4 5 5 5 5 6 7 10 12 14 15 14 13 10 9 8 6 3 3 4 4 5 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 8 9 13 18 16 9 4 2 3 2 2 3 4 5 7 8 10 10 10 11 12 10 6 4 3 2 0 0 1 4 8 10 8 5 4 4 4 5 5 5 4 4 3 3 5 8 9 8 5 3 3 3 4 3 4 4 5 6 6 7 7 5 3 4 5 5 4 4 3 3 3 4 5 7 7 8 9 9 9 8 7 7 8 8 8 8 9 10 9 8 8 8 7 5 3 3 4 4 4 3 3 4 4 4 4 3 3 3 3 4 5 5 5 5 5 4 3 3 5 9 17 18 13 11 11 13 10 3 -2 -1 1 3 5 5 5 5 6 6 6 6 9 16 21 19 12 9 8 7 6 6 6 5 5 7 8 9 8 8 5 1 2 6 6 2 -1 1 5 6 8 9 10 9 6 2 1 1 2 4 5 3 1 2 5 6 5 0 -3 -3 1 6 10 12 14 14 14 13 8 4 3 2 0 -0 3 6 5 -1 -6 -3 9 20 20 15 15 16 17 20 20 16 8 3 6 14 17 14 9 7 7 7 5 4 6 9 9 8 7 7 9 8 6 6 6 7 6 6 7 6 5 5 5 5 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 4 5 4 4 4 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 2 3 4 6 6 6 6 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 5 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 6 5 4 4 6 9 8 4 5 5 4 3 0 -3 -4 1 5 5 6 6 6 6 6 7 7 7 7 6 6 5 5 7 7 7 7 7 5 2 3 3 3 3 3 4 5 6 7 6 6 6 5 5 5 4 5 8 10 12 11 9 7 4 4 4 5 5 6 6 5 4 5 4 4 4 4 5 5 6 5 5 5 6 6 5 5 5 4 3 3 4 5 5 5 5 6 8 11 14 16 16 14 11 8 7 6 4 4 4 4 5 5 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 4 4 5 8 13 15 12 7 4 2 2 1 2 3 4 5 6 7 10 12 13 12 8 6 5 4 4 3 1 0 1 3 6 7 6 5 5 5 6 6 7 8 8 7 5 5 6 6 6 5 4 4 4 4 4 5 4 4 5 6 7 7 6 3 3 5 6 6 5 4 3 3 3 4 4 4 6 7 7 7 7 7 8 9 10 10 10 11 12 12 12 11 11 9 7 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 4 5 5 5 4 3 5 7 12 18 17 12 10 11 12 6 -1 -2 -2 1 4 5 5 5 5 5 6 6 7 10 16 20 17 11 9 8 8 8 7 6 4 4 6 6 6 6 1 0 6 8 8 6 4 3 4 6 8 12 14 12 12 10 8 5 3 3 3 3 1 0 2 5 3 2 2 1 2 5 9 12 14 15 17 18 19 18 14 10 7 6 6 10 14 16 7 -2 1 10 13 12 11 12 13 13 14 15 13 8 4 7 13 15 13 9 7 7 6 4 3 7 9 8 7 7 9 10 9 6 5 7 7 7 7 7 6 6 5 5 6 6 5 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 5 5 5 5 5 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 4 3 2 2 4 6 8 7 7 6 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 7 6 4 3 4 6 7 5 4 5 5 4 3 1 -1 -2 2 5 6 6 6 6 6 6 7 7 7 7 7 6 6 5 6 6 6 7 8 7 3 2 3 4 4 4 4 5 5 6 6 6 6 6 6 5 4 3 5 8 11 13 12 10 7 5 4 4 4 6 6 6 5 5 5 4 3 3 4 5 6 5 5 5 6 5 5 5 5 5 3 2 3 3 4 5 5 6 7 9 12 15 15 13 11 8 7 6 5 5 5 5 5 5 6 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 3 5 5 6 9 12 12 9 6 3 1 -1 -1 -0 0 2 2 3 6 11 14 13 9 6 4 4 4 4 2 2 2 3 4 5 5 5 5 5 4 4 6 11 13 11 8 5 4 3 3 4 4 5 6 6 7 6 5 5 5 5 7 7 6 4 3 4 6 7 6 5 4 4 4 3 3 3 3 4 5 5 5 5 6 8 9 9 9 10 10 11 11 11 12 10 8 5 5 5 4 4 4 3 3 4 5 5 4 4 4 4 5 6 5 5 4 4 3 5 8 13 17 19 16 11 8 9 8 1 -1 -1 -2 2 4 5 5 5 5 6 6 7 7 10 13 16 14 12 10 9 9 10 10 8 4 3 5 2 1 2 2 4 5 7 8 7 6 6 6 6 9 14 13 11 12 11 10 7 4 3 2 0 -1 0 2 3 2 2 4 5 6 9 12 15 16 18 19 20 22 22 19 15 13 11 10 10 16 25 18 5 2 4 3 5 10 12 9 4 3 10 12 8 5 8 12 15 13 9 7 7 6 3 3 7 9 6 6 7 9 12 11 6 4 7 7 8 8 7 7 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 5 6 6 5 5 5 4 4 4 4 3 3 3 5 6 6 5 4 4 4 4 4 2 1 2 6 8 8 7 6 5 5 5 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 5 6 6 6 5 4 5 6 6 7 8 9 10 10 10 10 10 10 10 9 9 9 8 7 5 -1 -2 2 4 5 5 5 5 4 4 4 4 2 -0 2 5 6 6 7 6 6 6 6 6 7 7 7 7 6 5 6 6 6 7 8 9 5 2 3 5 5 5 5 5 5 5 5 6 6 7 7 5 4 3 3 4 8 12 14 13 11 8 6 4 4 5 7 6 6 6 5 4 3 3 4 5 5 5 5 5 5 5 5 5 5 6 5 3 3 3 4 4 6 6 6 7 10 12 13 13 10 8 6 7 7 6 5 6 6 7 8 9 9 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 5 6 7 7 9 9 8 7 4 2 -0 -2 -3 -2 -0 1 1 5 11 15 14 10 7 5 4 4 4 4 5 5 6 6 6 5 6 6 5 3 1 3 9 16 16 10 5 3 3 3 4 5 6 7 7 7 7 7 6 5 5 6 6 6 5 3 3 5 6 7 6 5 4 3 3 3 3 3 3 3 4 4 4 4 5 6 6 6 5 6 6 7 8 9 9 8 6 5 6 5 4 3 2 2 3 4 5 5 5 5 6 6 6 5 5 4 3 4 9 15 21 23 21 13 8 7 8 3 -5 -3 0 0 3 5 5 5 5 5 6 7 7 8 9 11 12 12 12 10 9 9 10 11 8 3 4 6 3 0 2 7 7 2 2 5 7 7 7 7 6 7 8 7 9 10 10 9 6 4 2 -1 -2 -2 -1 1 3 4 5 7 8 10 12 14 17 17 21 22 20 20 20 17 14 14 15 10 3 7 17 17 8 2 -1 -1 5 13 14 7 -1 2 14 16 9 7 8 12 14 13 9 6 6 5 4 5 8 8 6 5 6 10 15 13 7 3 5 8 9 9 8 7 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 4 4 4 4 4 3 2 3 6 7 6 5 4 3 3 3 2 1 2 5 6 7 7 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 5 5 6 5 5 5 5 5 6 6 6 6 6 6 5 5 4 5 6 8 9 10 11 12 12 11 11 11 11 12 11 10 8 6 1 -5 -6 -1 4 6 6 5 4 4 4 4 4 4 -2 -2 4 5 6 7 7 7 7 6 6 6 7 7 6 6 6 6 6 6 6 7 8 6 3 5 6 6 6 5 6 6 6 5 4 6 7 7 5 4 3 1 2 4 8 12 16 15 10 6 5 4 4 6 7 7 6 4 3 3 3 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 3 4 5 6 7 6 6 8 10 12 12 10 8 7 7 7 6 6 7 7 9 10 11 12 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 5 6 7 7 6 6 6 5 4 3 1 -1 -2 -0 2 4 6 8 12 14 12 10 8 6 5 4 4 5 6 7 7 7 8 7 7 7 5 3 1 3 9 15 16 10 5 4 4 5 5 6 6 7 7 7 8 8 8 7 6 6 6 6 5 4 3 4 5 6 6 5 3 3 4 4 4 5 4 4 5 5 4 4 3 3 3 3 2 2 2 3 4 6 7 6 5 5 5 5 4 3 2 2 3 4 5 5 6 7 7 7 6 5 5 3 3 8 17 23 26 27 19 8 5 7 5 -3 -9 -5 1 3 4 5 5 5 5 6 7 7 8 8 9 10 10 11 11 9 7 7 8 9 7 4 7 7 4 0 5 9 6 3 2 4 7 8 7 7 5 4 3 5 11 12 11 8 5 1 -1 -2 -3 -2 0 2 3 5 8 11 11 12 14 14 15 16 21 22 18 15 14 12 10 12 17 12 -0 -4 1 7 10 8 5 4 5 9 9 6 6 17 26 21 10 7 9 13 14 12 9 7 6 5 4 7 7 6 6 6 7 12 17 14 5 2 6 9 10 9 8 7 6 5 5 5 6 5 5 5 5 4 4 5 5 5 5 5 4 4 5 4 4 4 5 5 4 4 4 4 4 5 6 6 5 4 4 4 4 4 3 3 4 6 7 7 5 4 3 2 2 1 2 5 7 6 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 5 5 5 7 8 10 11 12 12 12 12 12 12 13 13 12 10 7 5 0 -5 -4 2 5 5 5 4 4 4 4 3 3 3 2 1 4 5 6 7 7 7 7 7 6 5 6 6 6 6 6 6 6 6 6 7 7 5 3 5 6 6 6 6 6 6 6 5 4 5 6 7 6 4 2 1 1 2 4 9 15 16 11 7 6 5 5 6 7 6 5 4 3 3 4 5 5 6 5 5 5 5 5 5 6 6 6 6 6 5 4 4 5 6 7 7 6 7 8 11 11 10 8 7 7 7 7 6 6 7 9 12 14 15 14 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 4 5 6 6 5 4 3 3 4 4 3 2 2 3 5 7 10 11 12 11 8 7 8 9 8 6 5 5 6 6 7 7 8 9 9 8 6 4 3 6 11 14 13 8 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 4 3 4 4 4 3 2 3 4 4 4 5 5 5 6 6 6 5 3 3 2 2 1 1 1 1 3 4 5 5 5 5 5 4 4 4 3 3 3 4 5 5 7 8 8 7 6 6 4 3 6 14 22 25 25 24 16 6 6 9 2 -7 -10 -4 2 4 5 6 6 5 6 6 7 7 8 9 10 10 10 10 10 8 7 6 6 6 6 6 8 7 3 1 5 5 5 5 5 7 7 7 7 6 5 4 5 10 16 16 11 6 2 -1 -3 -3 -2 -0 1 2 4 7 11 14 14 13 13 12 11 14 19 17 14 10 7 8 9 12 16 14 7 3 2 7 12 12 11 9 7 9 9 10 17 29 31 21 11 8 10 13 13 11 9 8 6 5 5 7 7 7 6 7 9 14 17 11 3 2 6 9 10 9 8 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 4 4 4 4 4 4 5 6 7 7 7 6 4 2 2 4 6 8 7 5 3 3 5 6 6 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 7 9 11 12 12 12 12 12 12 13 14 14 12 10 7 5 3 2 2 4 5 6 5 4 4 4 4 4 3 3 1 1 4 5 6 7 7 7 7 8 7 6 6 6 5 5 5 6 6 6 6 6 7 7 3 3 6 7 7 7 7 7 6 5 4 5 7 9 8 5 3 1 0 1 3 7 11 13 12 9 7 6 6 6 6 5 5 4 3 3 4 4 5 5 6 5 5 5 5 5 5 5 6 7 6 6 5 5 5 6 8 9 7 7 8 9 10 10 9 8 7 7 6 6 5 6 8 12 16 17 15 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 5 6 6 5 4 3 3 4 5 5 4 4 5 7 8 8 8 7 5 6 8 10 10 8 6 6 6 6 7 7 8 9 10 9 7 6 6 8 11 13 11 8 5 4 4 4 4 6 6 7 7 6 5 6 6 6 7 7 7 7 7 6 5 4 3 3 3 3 3 2 3 4 4 4 5 6 6 7 7 5 5 3 2 1 0 -0 0 1 1 2 4 5 5 5 4 4 4 4 4 4 4 4 4 6 7 8 7 6 7 6 3 4 10 17 22 23 20 17 15 13 12 9 -3 -9 -7 -1 3 5 6 7 6 5 5 6 7 7 9 11 12 11 12 12 9 7 7 6 6 6 6 7 7 7 6 8 7 7 7 7 7 7 7 8 7 6 5 5 7 12 16 16 9 2 -2 -4 -4 -3 -1 1 2 3 7 11 15 15 14 13 12 11 10 15 16 13 11 8 5 6 10 13 11 10 13 18 15 12 10 8 9 9 10 11 12 13 19 27 26 18 11 9 11 13 13 11 9 8 7 6 6 7 7 6 6 7 10 15 14 8 2 3 7 10 10 9 8 7 6 5 5 5 5 5 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 5 4 4 4 4 4 4 4 5 5 6 7 8 10 9 8 6 8 10 9 6 4 4 4 5 6 7 7 7 7 6 7 7 7 8 8 7 7 7 6 6 6 5 6 5 5 6 5 5 6 6 6 6 6 6 7 6 6 6 5 6 8 10 11 12 12 12 12 13 13 13 13 13 11 8 6 6 9 9 5 4 5 5 5 4 4 5 5 5 5 3 -1 -3 1 5 5 6 7 7 7 8 10 9 6 5 4 3 3 3 5 6 7 7 7 9 5 2 6 7 7 7 7 7 7 5 4 4 7 10 10 7 5 3 1 2 3 6 7 9 11 12 10 8 7 6 6 6 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 8 10 9 8 7 7 8 9 8 7 7 6 6 5 5 5 6 10 14 15 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 3 4 3 4 5 5 5 5 5 4 4 5 6 6 5 5 5 5 5 5 4 3 5 8 10 9 8 7 7 6 7 7 7 8 10 10 10 9 8 7 8 8 8 7 5 4 3 3 4 5 6 7 6 6 5 5 4 5 5 6 7 7 8 8 8 7 6 5 4 5 5 5 4 4 4 4 3 3 4 5 6 5 5 5 3 2 1 0 0 0 1 1 2 4 5 6 6 5 4 4 4 4 4 4 4 5 6 7 6 6 8 8 5 2 5 12 18 23 24 18 12 16 21 16 4 -7 -11 -5 2 4 5 6 6 6 5 5 6 6 7 11 15 13 12 13 13 9 8 7 7 6 6 6 7 8 9 11 11 11 9 7 8 9 7 7 6 6 5 4 4 5 6 8 10 5 -2 -5 -5 -5 -3 0 1 2 6 9 13 16 16 15 14 13 12 11 17 15 9 8 9 7 8 10 11 6 3 8 16 17 9 2 2 6 9 9 4 6 10 15 19 18 14 10 9 11 13 12 10 8 7 7 7 7 6 6 6 5 6 11 16 13 6 3 5 8 9 10 9 8 7 6 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 5 5 5 4 4 4 4 5 5 6 8 11 14 13 12 11 10 8 5 5 5 6 7 7 7 7 8 8 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 7 6 6 6 7 9 11 12 12 11 11 12 13 12 12 11 10 8 6 3 4 11 11 6 4 5 4 4 5 4 4 4 6 6 4 1 -3 0 4 6 6 6 7 7 7 11 12 9 7 5 3 2 1 2 5 7 8 7 8 6 5 6 7 7 7 7 7 7 5 4 4 8 11 10 9 7 5 4 3 4 5 5 6 8 11 12 10 9 8 7 7 6 5 5 4 4 3 4 4 4 5 5 5 5 5 6 5 5 6 7 7 7 6 6 6 8 9 10 10 8 6 6 7 7 6 6 5 6 5 5 5 5 8 10 12 12 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 5 5 4 4 3 3 4 5 6 6 5 5 6 6 6 7 8 10 13 14 13 11 10 9 8 6 5 4 3 3 4 4 5 6 6 7 6 5 5 5 4 4 4 4 6 8 9 9 9 8 8 7 7 7 8 8 7 7 6 5 4 3 3 3 4 4 4 4 4 3 3 3 2 2 2 2 3 4 5 6 7 6 5 4 4 4 4 4 4 4 5 6 6 9 13 11 3 -1 4 10 16 23 27 22 16 19 20 9 -2 -9 -10 -2 4 5 6 6 6 5 5 5 5 7 9 15 18 15 12 13 12 10 8 6 6 7 6 6 7 9 11 9 6 8 8 8 8 6 4 3 2 2 1 2 2 3 3 3 3 2 -4 -6 -5 -4 -2 0 1 4 8 12 14 14 15 16 16 13 11 12 15 12 9 7 8 10 9 8 8 5 2 3 8 13 8 -0 1 7 8 5 3 6 10 13 15 14 11 10 10 10 12 12 9 8 7 7 7 6 6 6 6 5 6 11 14 9 5 4 7 9 9 9 9 8 7 6 5 5 5 5 4 4 5 4 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 6 9 12 13 12 10 8 7 6 7 7 7 8 8 9 8 9 9 8 8 8 8 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 8 9 11 12 11 10 11 12 12 11 10 9 7 6 3 0 0 6 8 4 3 4 4 5 4 4 3 4 6 7 5 4 2 2 5 6 6 6 6 6 7 9 10 10 9 9 7 5 4 4 5 7 8 8 7 6 7 7 7 6 6 7 7 7 6 4 4 8 10 9 8 8 7 6 5 6 6 6 5 5 7 9 11 10 10 10 8 7 6 6 5 5 5 4 4 4 4 4 4 5 5 6 6 5 6 6 6 7 7 7 6 6 8 10 11 9 8 7 6 6 5 5 5 6 6 6 5 5 6 7 9 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 8 6 6 6 6 6 6 6 6 6 6 5 5 4 3 4 4 5 6 7 6 5 3 3 2 2 2 2 2 3 4 4 5 7 12 15 15 13 11 10 9 8 8 7 6 5 5 5 5 5 6 6 6 5 4 4 4 4 5 4 4 5 7 8 7 7 8 8 8 8 8 7 8 8 9 8 7 6 4 3 3 2 3 3 3 4 5 5 4 4 3 4 4 4 4 5 6 7 7 6 5 5 4 4 4 5 5 6 7 9 13 16 11 1 -1 4 7 13 21 25 27 21 11 3 -4 -5 -7 -5 1 5 7 7 6 5 5 4 4 6 10 12 15 15 12 11 12 13 12 9 5 4 6 6 6 7 9 9 6 5 7 6 5 4 2 2 3 1 1 0 1 3 3 2 -0 -1 -3 -7 -8 -6 -4 -2 -0 2 6 9 12 12 10 13 16 16 13 10 10 11 11 10 8 8 12 10 7 5 5 4 2 6 15 11 3 6 8 7 5 8 12 13 14 13 12 11 10 9 10 11 10 8 7 7 7 7 6 6 6 5 5 7 10 11 7 5 7 9 9 9 9 9 8 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 5 6 6 5 5 4 4 4 6 6 5 6 6 5 4 3 3 3 3 3 6 8 9 9 8 7 6 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 7 6 5 5 5 6 6 5 5 6 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 9 11 11 10 9 9 10 9 9 8 7 6 4 4 5 4 4 5 3 2 3 4 4 4 2 3 6 7 7 6 6 5 5 6 5 6 6 6 6 7 7 8 9 9 10 9 9 9 7 6 6 7 8 7 6 7 7 7 7 6 7 7 7 6 4 5 9 9 8 7 8 9 8 8 8 7 7 6 5 5 6 8 10 11 11 10 9 7 6 6 6 6 5 5 4 3 3 4 4 5 5 5 5 6 6 6 7 7 7 6 5 6 8 9 10 11 9 7 6 5 5 5 5 7 7 6 5 6 6 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 8 7 6 7 8 8 8 9 9 8 6 4 3 3 2 3 6 7 8 7 5 4 2 1 1 1 1 1 2 2 3 5 8 10 9 8 8 8 8 8 9 9 8 7 7 7 6 6 6 6 6 5 4 4 4 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 7 8 9 9 8 8 7 5 4 4 3 3 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 6 5 5 5 5 5 7 9 10 11 12 12 6 1 -0 3 5 10 17 19 23 14 -6 -14 -9 -4 -2 -0 4 7 8 7 5 5 4 4 6 10 15 16 13 9 8 9 11 14 14 10 4 2 5 6 5 5 6 5 4 7 8 4 1 2 3 3 3 3 3 2 2 4 4 1 -2 -5 -8 -9 -9 -7 -4 -2 0 3 5 10 12 9 7 10 14 14 12 10 11 11 12 11 9 9 10 9 6 2 5 7 5 7 11 8 5 11 9 3 7 17 20 17 15 13 11 10 9 9 10 10 9 8 7 7 7 7 6 6 6 5 6 8 9 7 6 7 9 9 9 8 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 5 6 7 7 5 4 4 4 5 6 5 5 6 6 5 4 3 3 2 2 2 4 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 9 8 7 7 7 8 9 11 10 8 8 8 8 7 7 6 6 3 1 3 9 8 5 4 4 4 3 4 5 5 4 6 8 7 6 7 6 5 5 6 6 6 5 6 6 6 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 6 7 7 7 7 7 8 7 6 4 7 9 8 7 7 8 9 9 9 9 8 7 6 6 6 6 7 8 10 11 11 10 8 7 6 6 6 7 7 6 5 3 3 3 4 5 5 5 5 6 6 6 7 7 6 4 4 5 7 9 11 12 9 7 7 6 5 5 6 6 6 5 6 6 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 10 8 7 8 9 9 11 12 12 10 9 7 5 3 2 2 4 6 7 7 6 5 4 3 3 2 2 1 2 2 2 3 4 5 4 4 5 6 7 7 8 9 9 8 8 8 8 7 7 7 6 5 4 4 4 5 5 5 5 5 6 6 6 5 5 4 5 4 5 5 6 7 8 8 9 9 8 8 7 6 5 4 4 5 5 5 4 5 6 7 7 7 7 7 7 7 7 8 8 7 6 5 5 8 13 15 11 9 8 5 2 0 1 4 6 8 11 9 5 -6 -20 -18 -8 -3 0 3 6 8 8 6 5 4 4 6 11 17 20 17 11 7 6 7 9 12 13 10 7 4 5 5 3 3 2 2 2 4 6 5 4 4 4 4 3 5 5 5 5 5 4 2 -1 -5 -7 -8 -7 -5 -3 -2 1 3 5 8 9 5 3 8 12 11 12 13 13 14 16 15 13 11 11 10 5 2 3 3 5 7 7 7 8 11 8 3 11 24 23 18 15 13 11 9 9 9 9 10 8 7 6 7 7 6 6 5 5 5 6 8 9 7 6 8 9 10 9 8 7 7 7 6 6 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 5 5 4 3 3 4 5 7 8 7 5 3 3 4 5 5 5 4 5 6 5 4 3 2 2 2 3 3 5 6 6 6 6 6 6 6 7 7 7 6 7 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 8 6 7 9 10 10 9 8 7 6 6 6 5 5 3 0 -2 2 6 7 6 4 5 5 4 5 5 5 7 7 6 6 6 6 5 4 5 6 6 6 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 6 5 7 8 7 6 7 8 9 10 10 10 8 8 7 7 7 7 8 9 9 10 11 11 10 9 7 6 5 7 8 8 7 5 3 2 3 4 4 4 5 5 6 6 6 6 5 4 3 4 4 6 7 9 11 10 11 10 8 5 4 4 4 5 6 7 8 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 13 13 11 10 10 10 11 13 14 16 15 14 13 11 7 4 3 2 3 4 6 7 7 7 5 5 4 3 3 2 2 3 3 3 3 4 4 4 5 6 6 6 6 6 7 7 8 9 9 8 8 6 6 5 4 4 4 4 5 5 5 5 6 6 6 7 5 4 4 3 4 4 5 5 6 8 9 9 9 9 9 8 7 6 6 6 5 5 4 5 6 7 7 7 7 7 8 8 8 9 8 7 6 5 8 14 19 16 9 6 4 2 2 2 5 8 10 8 4 -2 -14 -28 -26 -13 -5 -2 1 5 8 9 8 6 4 4 6 11 17 19 17 12 8 7 7 7 8 9 9 8 8 9 9 6 2 2 1 1 -0 1 6 7 6 5 6 6 4 5 6 7 6 6 5 3 2 0 -1 -2 -3 -3 -2 -1 1 3 4 7 6 2 2 6 8 10 13 16 16 17 16 12 9 13 18 14 4 3 3 -0 3 6 7 8 11 10 9 8 13 18 17 15 13 12 11 9 8 9 9 9 8 7 6 6 7 6 5 5 5 5 6 8 9 6 5 8 10 10 9 7 7 7 7 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 6 7 8 7 5 3 2 4 5 5 4 4 4 5 5 4 3 2 2 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 7 7 8 8 9 9 9 9 8 7 6 7 9 11 10 8 6 5 5 5 5 5 4 4 3 2 3 4 7 5 5 5 4 5 5 4 4 4 5 5 6 6 5 3 4 5 5 5 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 7 7 7 8 8 7 5 6 7 7 6 6 7 8 8 9 10 8 8 8 7 8 8 8 9 9 9 10 11 12 12 12 10 7 6 6 7 8 8 6 5 4 3 3 4 4 5 5 5 5 5 5 5 4 3 2 3 4 5 6 8 9 12 12 10 7 4 2 2 4 5 8 10 10 8 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 13 14 13 13 14 14 15 16 17 17 17 17 16 14 11 7 5 4 3 4 4 5 6 7 7 6 5 5 4 4 3 4 5 4 5 6 6 5 5 5 6 5 4 3 3 4 6 8 9 8 7 5 5 5 4 3 3 4 4 4 4 5 5 6 6 7 6 5 4 3 3 3 4 4 5 7 8 8 8 9 9 9 8 7 7 7 6 5 6 7 7 6 5 5 5 6 7 8 8 9 9 8 7 8 12 15 16 10 5 4 4 3 4 5 8 15 19 15 5 -3 -15 -28 -24 -9 -3 -1 4 7 9 8 7 5 4 5 10 16 18 15 11 9 8 8 7 8 9 9 8 7 8 11 10 7 5 5 4 3 0 1 5 8 7 6 6 6 5 5 6 6 6 6 6 6 6 4 2 1 -1 -1 -1 1 2 3 4 5 5 2 2 6 6 8 14 16 17 18 15 10 6 11 15 11 2 4 4 -1 2 5 5 7 10 10 10 11 12 13 13 12 12 11 10 8 8 9 9 8 7 6 6 6 6 6 5 6 6 5 6 7 7 4 4 7 10 10 8 6 6 7 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 6 7 7 6 5 3 2 4 5 5 4 4 3 4 4 4 3 2 2 3 4 5 5 6 6 6 6 6 5 6 6 5 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 8 6 6 8 11 11 9 7 6 5 4 5 4 5 6 8 9 8 5 5 6 5 5 4 4 4 4 4 3 3 4 6 6 6 5 3 4 5 5 5 6 6 6 6 7 6 7 7 7 8 7 6 7 6 6 6 7 7 7 6 6 7 7 7 8 9 8 7 6 7 7 6 6 7 7 8 8 8 7 6 7 7 8 8 9 10 10 11 11 10 10 13 14 15 14 12 9 7 6 6 6 6 8 8 6 6 6 5 5 5 5 4 4 5 4 4 3 2 2 3 3 4 5 6 8 10 9 8 5 3 3 2 4 6 10 10 10 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 12 12 13 15 15 15 16 15 14 14 15 16 16 14 11 9 7 5 5 5 5 6 6 6 6 6 5 5 4 4 5 5 6 7 8 7 6 5 5 5 5 3 2 0 1 4 7 8 7 6 5 4 4 4 4 4 3 4 3 3 3 4 5 6 7 8 7 6 5 4 4 4 4 5 6 6 7 7 7 8 8 8 8 8 7 7 7 8 8 7 6 4 4 5 6 7 8 9 8 8 9 11 15 16 12 6 3 3 4 5 5 5 5 12 23 31 24 12 4 -5 -14 -16 -8 -2 2 7 9 9 7 5 4 4 7 13 17 15 11 9 9 10 9 8 7 8 8 8 8 7 9 9 8 9 8 8 5 2 2 4 7 8 8 7 6 5 4 4 4 5 6 6 7 7 5 3 2 1 1 1 2 3 3 4 4 5 4 4 5 5 9 12 14 16 17 16 13 11 10 7 4 2 6 5 2 2 3 4 6 10 11 11 12 12 12 12 12 12 11 10 8 8 9 9 8 7 6 5 5 6 6 6 6 6 6 5 6 7 3 2 6 9 9 8 7 6 6 7 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 5 6 7 7 5 4 3 3 5 6 5 5 4 4 4 4 4 3 3 2 3 5 5 5 6 6 6 6 5 5 5 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 6 6 6 6 7 7 8 9 9 9 9 8 6 5 5 9 12 12 10 7 5 4 3 4 4 5 8 12 14 10 5 5 5 5 5 5 4 4 5 4 4 4 5 5 5 5 4 3 4 5 5 5 6 6 6 7 7 7 7 7 7 8 7 7 7 6 6 7 7 7 7 7 6 6 7 8 8 8 7 6 7 8 8 6 6 7 8 7 7 6 6 6 6 7 8 9 10 10 12 13 12 10 11 12 14 16 17 17 15 11 8 6 5 6 8 9 11 12 11 9 8 6 5 4 4 4 5 4 3 3 3 3 3 3 4 4 5 7 7 6 5 4 4 3 3 5 7 10 12 10 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 10 11 11 11 11 11 10 10 11 12 14 15 13 12 10 9 8 8 7 6 6 6 6 6 5 4 4 4 5 5 7 8 8 8 6 5 4 5 5 4 2 0 0 3 7 7 6 5 4 4 4 3 3 4 4 3 3 4 3 4 4 5 6 8 9 10 9 7 6 5 4 4 5 5 5 5 5 6 6 7 7 7 6 6 7 7 8 7 5 4 3 4 6 7 8 8 7 7 10 14 15 12 6 2 2 3 5 6 6 4 4 15 23 27 23 12 3 -5 -11 -10 -4 1 6 9 9 7 5 4 5 6 8 13 15 12 11 10 9 9 9 8 7 7 7 7 9 9 9 5 6 10 9 8 5 3 3 4 5 6 6 7 7 6 4 4 4 4 5 5 6 6 4 4 4 3 3 3 2 2 3 4 4 5 7 5 3 5 8 10 13 15 16 14 11 10 8 5 2 5 9 7 5 3 2 3 6 10 11 11 12 12 11 11 12 12 11 10 8 8 9 10 8 7 6 5 5 6 6 6 6 6 6 6 7 6 3 3 6 8 9 8 7 6 6 7 7 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 5 5 6 6 6 5 4 3 4 6 6 6 5 5 5 5 5 5 4 3 3 3 4 5 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 5 6 5 5 5 6 5 5 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 8 7 5 4 5 9 12 12 10 7 4 2 2 3 3 5 8 13 15 10 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 3 4 4 5 5 5 5 6 6 7 7 7 7 7 7 8 8 7 7 6 6 6 7 6 6 6 6 7 7 9 9 8 7 6 8 9 7 5 7 8 8 7 6 5 5 6 6 7 9 10 11 11 12 13 12 11 10 11 12 14 16 18 20 18 13 10 8 8 7 8 11 15 16 15 12 8 6 5 5 5 5 5 5 5 4 4 3 3 3 3 4 5 6 6 6 5 4 3 2 3 4 8 11 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 8 8 8 8 9 9 8 8 8 9 9 11 13 13 14 13 13 13 12 10 9 8 7 7 7 6 5 5 4 4 5 6 7 8 8 8 6 5 6 6 5 3 1 2 4 6 6 6 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 7 9 12 12 10 7 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 4 3 4 6 7 7 8 7 9 11 12 9 5 3 2 4 6 6 7 6 4 4 11 10 5 4 -1 -6 -11 -11 -6 1 5 9 10 7 4 4 5 8 11 10 11 12 13 14 13 10 8 8 7 7 7 5 6 8 9 8 4 4 5 6 8 7 5 4 3 4 6 5 6 8 8 6 5 6 5 5 6 6 5 4 3 4 5 4 3 2 2 2 3 4 5 6 4 2 6 6 7 12 14 13 9 6 4 2 4 6 8 8 7 6 3 1 3 6 9 9 10 11 11 10 10 12 12 11 10 9 9 10 9 8 7 6 6 6 6 6 6 6 6 7 7 6 5 5 7 7 6 7 8 7 6 6 6 6 5 4 4 5 6 6 6 6 6 5 5 5 5 5 6 5 4 3 3 4 5 5 5 5 4 4 6 6 4 4 5 6 6 6 6 6 6 6 6 6 5 4 3 4 5 5 5 5 6 6 6 6 5 6 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 7 4 3 5 8 11 12 10 7 4 2 2 2 2 4 7 11 12 9 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 4 2 3 5 5 5 5 5 6 6 7 7 8 7 7 7 8 8 7 7 7 6 7 6 6 6 6 7 7 8 9 9 8 6 7 10 9 6 6 8 9 7 6 5 5 6 6 6 7 9 10 10 11 11 11 11 11 10 11 11 12 13 16 18 18 16 14 11 10 9 8 9 12 15 14 10 9 8 7 7 6 5 5 5 5 5 5 4 4 4 3 3 4 5 6 6 6 5 4 3 2 3 5 8 11 11 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 11 13 15 16 16 16 15 14 12 12 11 10 10 8 7 6 5 5 4 4 5 6 7 8 9 8 8 7 6 5 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 5 5 5 6 7 10 12 10 8 6 5 4 4 5 7 8 7 5 3 3 3 2 3 4 4 5 6 7 6 5 5 6 6 6 6 7 8 10 10 8 5 3 2 4 8 8 8 7 6 6 5 4 2 -2 -7 -10 -9 -6 -3 1 6 9 10 8 5 4 6 12 17 19 14 10 10 13 16 14 10 8 7 7 6 5 4 5 7 8 7 6 5 3 4 8 10 9 6 4 4 7 6 5 7 8 7 6 7 7 6 7 6 4 3 3 4 4 4 2 1 2 4 4 5 3 3 3 5 6 4 6 10 13 13 8 4 3 3 6 9 11 7 6 7 6 5 6 7 8 8 8 8 9 9 11 12 13 12 10 9 10 10 10 9 8 7 6 5 6 6 6 6 6 6 6 4 5 10 11 6 3 4 7 8 7 6 6 5 4 4 5 6 7 6 6 6 6 5 5 6 6 6 6 5 3 3 4 5 6 6 5 4 3 4 6 6 6 6 6 6 6 7 7 6 7 6 6 7 6 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 7 8 8 6 7 6 6 7 7 7 7 7 7 7 7 8 6 4 3 4 7 10 11 10 8 5 3 2 2 3 6 7 7 7 6 5 4 4 5 5 4 5 5 5 5 6 6 6 6 5 4 3 4 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 8 9 8 6 6 9 10 7 6 7 9 8 7 5 6 6 6 6 6 7 7 8 9 10 10 10 9 9 9 10 11 11 11 13 13 14 15 15 13 11 10 10 10 11 12 10 6 6 8 8 9 8 7 6 5 5 6 5 6 5 4 4 4 4 4 5 6 6 5 4 3 3 2 4 6 10 12 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 9 9 8 8 7 8 8 9 8 8 8 9 12 14 15 16 16 16 14 14 13 13 13 12 11 9 8 7 6 5 5 5 5 5 7 9 10 10 8 8 7 7 6 6 5 4 4 5 5 5 5 4 4 3 3 3 3 3 4 5 5 5 5 6 6 8 9 9 7 6 5 4 4 5 8 10 9 6 3 2 2 2 3 4 4 5 6 7 7 6 7 7 7 5 6 9 12 12 9 6 4 4 4 8 11 9 8 8 7 8 7 5 6 7 8 7 5 4 5 6 9 11 9 5 3 6 13 22 25 22 15 10 10 12 13 11 8 7 7 7 6 4 5 4 6 8 8 9 10 9 7 6 7 9 7 6 5 6 5 2 2 6 7 7 7 7 6 6 6 4 3 4 5 5 3 2 2 3 5 6 5 2 2 3 7 6 3 6 11 13 14 11 9 9 10 10 11 12 9 10 10 9 9 7 7 6 6 6 7 8 9 11 12 13 12 11 10 10 11 10 9 9 7 6 6 6 7 7 6 6 6 5 4 6 10 10 6 3 3 5 7 6 6 5 4 4 4 6 7 8 7 6 6 6 6 6 7 7 7 6 5 3 4 5 6 6 5 5 3 2 3 6 7 6 6 7 7 7 7 7 6 6 6 6 7 7 6 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 6 5 5 5 6 6 7 8 8 7 6 6 6 6 7 7 7 7 7 6 6 7 8 6 4 3 3 5 8 9 9 8 6 4 3 3 4 7 9 8 5 4 4 4 4 4 5 4 5 5 5 5 6 6 6 6 5 5 5 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 9 8 7 6 8 11 10 7 6 8 9 8 6 5 5 6 6 6 5 5 6 7 8 9 9 9 8 7 7 8 9 10 11 11 12 12 12 12 12 11 10 10 11 12 13 11 6 5 6 7 8 9 9 8 7 6 6 6 6 6 5 5 4 4 3 4 5 5 5 5 4 3 3 3 4 7 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 9 10 10 9 7 6 6 7 7 7 6 6 7 9 10 12 12 13 12 11 10 11 11 11 11 11 10 10 9 9 8 7 6 5 4 5 7 9 10 9 8 7 8 8 7 5 4 4 5 5 5 6 6 5 4 2 2 2 3 4 5 5 5 6 6 6 6 7 7 7 5 5 4 4 5 7 9 9 7 4 3 3 4 4 4 5 6 7 7 7 6 8 8 7 5 8 11 11 10 8 5 4 4 5 8 10 9 9 9 10 11 10 7 7 12 21 25 18 11 8 9 11 9 5 3 4 9 17 23 21 17 13 11 11 12 11 8 7 6 7 8 6 5 5 5 6 7 7 10 11 10 8 5 5 7 8 7 6 5 5 3 1 5 7 6 6 5 6 6 6 5 5 5 7 6 4 2 2 5 7 7 5 3 2 3 6 6 5 6 9 12 12 9 10 13 14 14 13 13 13 12 9 7 6 6 6 5 6 7 8 9 9 10 12 13 12 11 10 10 10 10 9 9 8 7 6 5 6 7 6 6 5 4 6 7 7 7 7 5 5 4 5 5 5 3 3 3 5 7 7 8 7 7 6 6 6 7 6 7 7 6 5 5 5 6 6 6 6 4 3 2 4 6 6 6 6 7 8 8 7 6 6 5 6 7 7 8 7 5 4 4 5 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 7 6 6 6 6 7 7 7 7 7 6 6 7 7 6 4 3 3 4 6 7 8 8 7 5 4 4 5 9 11 7 5 4 4 4 4 4 5 5 4 5 5 5 6 6 6 6 5 5 7 7 5 5 5 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 8 8 9 8 6 7 11 12 9 7 7 8 8 7 5 5 6 6 6 5 5 4 5 5 6 7 8 8 7 6 6 6 7 8 9 10 11 12 12 12 12 11 9 10 12 14 15 14 10 7 5 5 6 9 11 11 9 8 7 7 7 6 6 5 5 4 3 3 3 4 4 5 5 5 4 3 3 4 8 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 8 10 11 10 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 11 10 11 11 10 9 7 5 4 5 7 10 10 9 7 8 8 8 6 4 4 5 6 7 7 7 5 4 3 2 2 3 4 5 5 5 6 6 6 6 6 7 6 5 4 5 6 6 7 7 8 8 7 6 7 7 6 6 7 7 7 6 5 6 7 8 7 5 6 5 3 6 7 6 4 4 5 6 8 9 9 11 14 15 14 10 6 11 20 23 18 12 10 11 9 5 2 2 5 10 14 14 13 13 12 10 11 12 11 8 7 6 7 7 6 5 4 6 6 5 5 6 5 8 7 5 4 5 6 7 6 5 5 4 2 3 6 6 4 3 4 5 6 6 8 9 10 7 5 2 4 6 8 7 5 3 1 2 5 7 7 5 7 12 8 4 8 12 14 15 16 16 14 8 4 4 4 5 5 6 8 9 10 10 10 10 12 12 12 11 10 10 10 10 9 9 9 7 7 6 6 7 6 5 5 5 6 7 7 7 6 5 6 7 5 4 4 2 2 3 5 7 7 8 8 7 6 6 6 7 7 7 7 7 6 6 7 7 7 6 6 4 2 2 4 6 6 4 5 7 7 7 7 6 6 5 6 6 8 8 6 5 5 4 5 6 6 7 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 5 6 6 7 7 6 6 6 6 6 6 5 4 3 3 4 4 6 6 7 7 6 5 4 5 9 12 10 7 5 4 5 5 4 5 5 5 5 5 5 5 6 6 5 5 5 7 6 5 5 5 6 6 6 7 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 7 6 7 11 10 7 6 6 7 6 5 5 4 5 6 6 5 5 4 4 4 4 5 6 7 7 6 6 6 6 7 8 8 9 10 12 12 12 11 9 9 12 15 17 15 12 8 5 6 6 8 11 12 11 10 9 9 9 8 7 7 6 5 5 3 3 3 3 4 5 5 4 4 3 3 5 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 6 8 10 10 10 9 8 7 7 7 7 6 7 7 7 7 7 7 7 8 8 7 7 7 8 10 11 11 11 11 12 13 12 10 7 5 5 6 8 10 10 8 8 8 7 6 5 5 5 7 8 7 6 5 3 2 2 2 3 3 3 4 5 6 6 6 6 6 6 5 5 6 8 9 8 7 6 8 9 10 10 10 9 9 8 8 7 6 5 4 5 6 8 7 6 4 1 2 7 9 7 6 6 5 5 6 8 9 14 20 21 16 12 13 18 21 19 15 12 12 9 3 1 2 5 8 10 9 10 12 14 13 10 11 12 11 10 8 6 6 6 7 5 4 6 6 4 3 1 1 4 6 6 5 4 3 5 5 5 5 4 4 5 6 6 5 3 4 6 7 9 11 13 12 9 5 4 5 7 8 6 3 1 -1 1 5 8 6 4 7 11 3 3 9 11 13 15 16 18 17 10 6 5 5 5 6 7 8 10 10 10 10 10 12 13 12 11 10 10 11 10 9 8 8 8 7 6 6 6 6 5 5 5 6 7 7 6 5 5 8 8 5 5 4 2 1 3 5 7 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 6 5 4 2 3 5 6 4 3 5 6 7 7 7 7 6 5 6 6 7 8 6 5 5 5 5 6 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 6 7 8 7 7 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 5 4 3 3 3 3 4 5 6 7 6 6 5 5 8 12 12 9 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 8 8 8 8 7 7 7 7 7 8 8 9 8 6 6 8 9 8 5 5 5 5 5 5 4 4 4 5 5 6 5 5 4 4 4 4 5 5 6 6 7 6 6 6 7 7 8 9 10 11 12 11 10 10 11 14 16 15 12 8 7 7 7 9 10 10 10 10 9 9 10 10 9 10 9 9 8 5 4 3 3 4 4 4 4 5 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 8 10 11 10 9 8 8 7 7 7 8 8 8 8 7 6 7 8 8 7 7 7 9 11 13 12 11 11 11 13 13 12 10 8 6 6 7 9 10 10 8 8 7 7 5 5 6 7 7 7 5 4 3 2 3 2 2 3 3 4 5 6 6 6 6 5 5 4 5 8 11 11 8 6 5 6 9 10 10 10 9 9 8 7 6 4 4 4 5 6 6 6 5 5 6 8 10 10 8 8 8 6 4 4 6 9 15 22 23 16 13 27 31 23 15 11 10 8 3 -1 -1 4 8 9 8 8 11 15 15 13 11 12 12 11 11 9 6 6 7 6 6 5 5 6 5 3 0 1 3 6 7 7 5 4 4 4 4 5 6 6 6 7 7 5 4 5 7 9 13 16 16 12 8 5 5 7 8 7 3 1 -1 -1 1 5 6 4 1 4 6 3 6 11 10 10 12 15 17 18 15 10 5 4 6 7 8 9 9 10 10 10 11 12 12 12 11 10 10 10 9 8 8 8 8 7 6 6 6 7 6 5 5 6 7 7 5 5 6 8 6 4 6 7 4 1 2 4 6 6 7 7 7 6 6 7 6 7 7 7 7 7 6 6 6 6 7 6 4 2 3 5 6 4 4 5 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 6 7 7 6 6 6 6 6 5 5 5 6 5 5 5 5 4 4 4 5 5 5 7 8 8 7 7 6 5 5 5 6 6 6 6 5 5 6 5 5 5 5 4 4 3 3 3 3 3 4 5 6 7 6 5 4 6 10 13 10 6 5 5 5 5 5 5 5 5 5 6 6 5 4 1 2 4 6 5 5 5 6 6 6 6 6 7 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 7 6 6 8 9 6 4 5 5 5 5 5 5 4 4 5 6 6 6 5 5 5 4 4 4 4 5 6 6 6 6 6 7 7 7 8 9 9 10 11 11 11 11 13 14 14 12 9 8 8 9 10 11 10 10 9 9 8 9 10 11 12 12 13 12 10 8 6 5 4 3 3 4 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 4 6 9 10 11 10 8 8 7 6 7 8 9 9 9 7 7 7 8 7 7 7 8 10 12 13 13 12 11 10 11 11 11 10 8 8 8 8 8 9 10 10 9 8 7 6 6 6 6 5 5 4 3 3 3 3 2 3 3 4 4 6 7 9 10 8 5 4 3 5 10 12 9 6 4 4 5 7 8 9 9 8 8 7 5 4 4 4 5 5 5 5 5 5 7 9 11 12 11 9 9 10 7 2 1 3 6 11 17 16 13 13 23 25 12 4 3 3 1 -2 -2 1 6 8 7 6 7 10 12 12 10 11 14 13 11 11 10 7 6 7 5 6 6 5 6 7 5 3 4 4 6 6 5 5 5 6 5 5 5 6 5 5 6 8 6 6 7 8 11 15 16 12 7 5 6 7 8 8 6 3 1 0 0 2 4 5 1 -3 1 5 6 11 14 8 5 8 13 16 15 13 9 5 5 8 9 9 9 9 10 10 10 12 12 11 11 10 10 10 10 9 9 8 8 8 7 6 6 6 7 7 5 4 5 6 6 4 4 6 7 6 5 8 9 5 1 1 3 4 6 7 7 7 7 7 6 7 6 6 6 6 7 7 6 6 7 7 6 4 2 3 6 6 5 4 6 8 8 7 7 8 8 8 7 7 7 6 5 5 5 5 6 7 7 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 7 8 8 7 6 5 5 5 5 5 5 5 6 6 5 6 5 5 5 5 5 4 3 3 3 3 3 4 5 6 7 6 5 5 6 9 11 10 6 5 5 5 6 5 5 6 6 6 7 7 6 5 -0 -2 3 6 6 5 5 6 7 6 6 7 7 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 9 8 7 6 6 8 9 6 5 5 5 5 6 6 5 5 5 6 6 6 6 6 6 6 5 4 3 4 4 5 5 6 6 6 7 7 7 7 7 8 9 10 11 11 11 12 14 14 12 10 9 10 11 12 13 12 11 11 11 10 9 9 10 10 11 12 14 14 13 11 9 7 5 4 4 4 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 5 5 4 4 6 9 10 10 10 9 7 6 6 7 7 8 8 8 8 9 10 10 9 10 10 11 13 13 12 11 11 10 10 10 10 10 9 10 10 10 10 9 10 10 9 8 8 8 7 6 5 4 4 4 4 4 3 2 3 4 4 5 6 8 10 14 15 13 9 6 5 9 12 10 7 4 3 4 5 6 7 7 8 7 6 5 4 4 4 4 5 5 5 5 6 7 9 11 13 13 11 9 9 10 7 2 0 2 2 7 13 14 16 14 6 2 -5 -7 -4 0 1 -0 -1 2 6 7 5 6 7 8 8 7 8 12 14 14 12 11 9 7 6 7 5 6 6 4 6 7 6 6 6 6 6 5 3 4 5 7 8 7 6 4 4 5 6 7 7 7 9 10 11 11 8 5 3 4 7 9 9 8 5 3 3 3 2 2 4 3 -1 -3 1 6 9 13 13 6 3 8 14 16 13 9 8 9 11 12 10 9 9 9 10 10 11 12 11 11 11 10 10 9 9 9 9 8 8 8 7 6 6 6 7 7 4 4 5 6 5 4 4 6 8 7 6 7 6 3 1 -0 1 3 5 5 6 7 7 7 7 7 6 6 6 6 6 6 7 8 9 9 7 4 3 4 7 6 5 6 8 9 8 6 6 8 9 9 8 6 6 6 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 7 7 8 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 3 3 3 3 4 6 6 7 6 5 6 8 10 10 6 4 4 5 5 5 6 6 6 6 7 7 7 5 0 0 5 7 6 5 6 6 6 6 6 7 8 8 8 8 8 9 8 8 8 8 7 8 8 8 8 8 8 9 8 6 5 7 10 10 7 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 6 6 6 7 7 7 8 7 8 8 9 10 10 11 12 14 14 13 12 11 12 13 13 14 14 13 14 13 12 11 10 10 10 10 11 11 13 13 13 13 13 11 8 6 6 6 6 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 13 17 14 11 10 10 10 9 8 6 8 11 14 16 16 14 11 7 9 14 18 18 13 9 6 5 6 7 10 12 12 13 14 13 12 12 14 16 16 15 15 14 14 14 14 14 14 13 13 13 15 15 15 13 12 10 10 10 10 12 13 12 10 9 9 8 7 6 6 7 9 12 11 10 9 8 8 8 8 9 9 9 11 12 13 14 14 14 13 12 11 11 11 12 13 13 14 14 14 14 13 12 12 12 12 11 12 12 12 12 12 12 11 11 12 12 13 12 12 12 13 13 12 12 11 10 9 10 11 12 13 13 13 13 14 14 13 12 12 12 12 14 16 15 12 9 7 11 16 19 17 14 13 14 14 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 11 11 12 12 12 12 11 11 12 14 14 13 12 11 12 14 14 15 15 16 15 14 13 13 13 13 12 13 12 13 14 13 11 10 9 11 19 21 17 16 16 15 14 14 14 14 13 13 13 13 14 15 16 15 14 14 13 14 15 16 17 16 15 15 16 17 16 14 10 7 10 15 14 13 13 15 16 19 20 21 20 17 15 15 15 14 14 15 14 14 14 13 13 13 12 13 14 15 15 15 14 13 12 12 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 11 11 11 11 11 12 13 13 13 12 11 9 9 9 8 9 10 10 10 9 9 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 14 14 14 14 14 14 13 13 13 14 15 16 16 14 13 13 14 15 16 16 15 13 12 13 13 14 14 14 14 14 15 15 14 14 14 14 11 8 11 11 11 11 12 10 9 9 10 10 10 11 10 10 11 15 21 26 24 19 17 16 14 11 11 11 10 10 11 12 13 13 13 13 13 13 13 14 13 13 13 14 14 16 16 15 14 13 13 13 14 15 14 14 15 17 19 20 18 14 13 13 14 15 15 14 13 13 13 12 12 13 14 13 13 13 13 14 16 16 16 17 16 14 14 14 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 7 8 10 13 15 16 15 13 11 10 10 14 19 14 8 6 7 7 8 9 10 10 11 13 16 17 12 8 11 14 16 16 16 15 14 13 13 13 13 13 12 12 12 12 12 11 10 9 9 10 10 11 12 12 11 10 9 8 6 6 7 9 10 12 13 12 11 11 10 9 8 7 7 8 10 12 12 13 15 15 13 11 10 10 10 11 12 13 14 14 14 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 11 10 10 11 12 13 13 13 13 13 13 13 10 12 16 17 17 15 14 13 13 13 10 10 14 17 16 13 12 13 14 14 14 14 14 14 13 13 13 14 14 13 13 13 13 13 12 12 11 12 12 12 12 12 11 11 12 14 14 13 12 10 7 9 16 24 26 20 16 13 13 13 13 12 12 12 13 14 14 14 12 11 8 8 14 17 16 16 16 17 16 15 14 14 14 14 13 12 12 14 16 16 15 13 12 12 12 15 16 16 14 13 15 15 16 18 18 15 12 13 14 15 14 13 12 15 19 23 23 18 16 15 14 14 14 14 15 15 14 13 13 13 13 13 13 14 15 15 15 15 14 13 13 12 12 12 12 11 11 12 12 11 10 9 10 11 11 11 11 12 12 11 11 10 11 11 11 12 12 12 13 14 13 12 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 14 14 13 14 14 13 13 13 15 16 15 13 13 15 14 13 12 9 8 8 10 12 13 14 14 15 14 14 14 15 15 15 15 14 12 10 12 15 16 15 13 11 11 9 9 10 10 11 11 13 15 19 20 20 17 15 14 13 13 13 12 12 11 11 12 13 13 14 14 13 12 13 13 13 13 13 14 14 15 15 15 14 14 15 14 14 14 14 13 14 16 18 20 19 16 13 13 14 14 15 15 14 14 13 13 12 12 13 14 14 13 14 15 15 15 15 16 16 15 15 15 13 13 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 13 12 11 16 17 13 8 9 10 11 10 8 9 9 11 13 16 16 10 10 13 14 16 17 16 16 14 13 13 14 14 14 13 12 11 10 10 10 10 10 9 9 9 9 10 11 11 10 9 7 6 7 8 9 11 12 14 14 14 13 11 10 8 6 6 8 8 10 11 12 14 14 13 12 10 9 10 10 12 13 13 12 13 13 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 13 13 13 13 13 14 13 13 13 12 8 10 16 17 17 15 14 13 13 13 11 12 14 15 14 12 13 13 13 14 14 14 14 13 13 13 13 13 13 13 13 14 13 13 13 12 12 12 12 12 12 11 11 11 13 14 13 13 12 10 4 1 6 20 32 32 27 20 14 13 13 13 12 12 13 14 15 14 14 14 13 12 11 12 13 15 16 16 16 16 16 16 15 15 14 14 12 13 15 16 16 15 13 10 10 12 15 16 15 14 13 12 12 17 22 19 15 15 16 16 16 13 7 4 9 14 18 19 18 17 15 14 14 14 15 15 14 15 15 15 15 15 15 15 15 15 15 15 15 14 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 11 13 12 12 12 11 10 10 11 11 12 14 14 14 13 12 11 9 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 10 10 10 10 9 10 10 11 10 11 11 11 11 11 11 12 12 11 12 12 12 12 13 13 13 13 14 14 14 13 13 13 13 14 13 14 15 15 15 14 14 12 9 6 5 6 8 11 13 13 14 14 13 14 15 15 15 15 15 15 15 14 13 14 15 14 12 11 11 12 11 10 11 11 11 12 12 12 12 13 13 13 14 13 13 13 13 14 13 12 12 12 13 13 14 14 13 13 13 12 11 12 13 15 16 15 15 15 15 14 14 14 14 15 14 13 14 16 19 20 18 14 12 13 14 14 14 14 14 14 13 12 12 13 13 13 12 13 14 15 16 16 16 16 15 14 13 14 13 13 14 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 11 11 12 10 9 10 11 12 14 15 13 11 12 14 17 16 17 17 16 14 14 14 14 15 16 15 13 12 10 10 10 10 10 9 8 8 7 8 10 11 11 10 9 9 8 10 11 12 14 15 15 15 14 12 10 8 6 6 7 8 8 9 12 14 16 16 14 11 10 10 10 11 12 12 13 12 11 11 10 10 11 11 12 12 11 11 12 12 13 13 12 12 13 13 12 11 11 11 11 12 13 13 14 14 14 14 14 14 14 14 14 14 13 11 11 13 14 15 14 13 14 14 14 14 14 13 13 13 13 13 12 13 14 15 14 14 14 13 12 13 13 13 13 13 13 14 13 13 12 12 12 12 12 12 11 12 12 12 13 13 13 13 12 8 2 -1 4 15 25 31 32 24 17 13 14 14 13 13 13 14 15 14 15 15 14 13 13 13 14 16 16 15 16 18 18 19 17 16 16 16 14 15 15 16 16 14 12 11 10 13 15 16 16 14 11 8 12 19 18 16 14 15 15 17 17 13 7 7 9 13 16 16 16 16 15 15 15 15 16 16 16 16 16 15 16 15 15 15 15 14 14 14 13 12 13 13 12 11 12 10 10 10 11 12 12 12 11 10 10 10 10 11 12 11 12 12 12 13 14 14 14 13 10 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 14 14 14 14 14 14 14 13 13 13 13 14 15 15 15 15 15 14 12 10 9 10 12 13 13 13 14 14 14 14 15 15 15 15 16 16 16 16 15 13 12 12 11 11 11 12 11 11 11 11 12 11 11 11 11 11 12 13 13 13 12 13 13 12 12 12 11 12 13 14 15 15 14 13 13 13 12 11 13 15 15 15 15 15 15 14 13 13 14 13 14 14 14 15 16 18 20 17 13 12 13 14 13 14 15 14 13 13 13 13 13 13 13 13 13 14 15 16 16 16 16 14 13 12 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 15 16 14 14 15 16 16 16 17 17 16 15 15 15 15 16 17 16 14 12 10 10 10 10 9 9 9 8 7 8 10 11 12 12 12 12 11 12 13 15 16 16 16 15 14 12 9 7 6 7 7 8 9 9 11 14 17 19 16 12 11 10 10 10 12 12 12 12 11 10 11 11 11 12 12 12 11 11 12 12 12 13 13 13 13 13 11 11 11 11 10 12 14 14 15 14 14 14 14 15 14 14 14 14 14 13 12 12 13 13 13 13 14 14 14 14 14 14 14 13 12 13 13 13 14 14 14 15 13 13 12 13 12 13 13 14 13 13 14 14 13 13 12 12 12 12 12 13 13 13 13 13 12 13 14 15 11 4 -1 -1 7 18 34 36 22 16 14 14 14 13 13 14 15 15 16 15 15 14 13 13 14 14 14 14 14 18 24 27 22 19 19 18 17 17 16 15 14 14 14 12 11 12 14 14 15 15 13 11 12 15 16 16 16 15 14 15 17 17 14 11 9 9 10 12 14 15 15 15 15 15 16 16 16 16 16 15 14 14 14 14 13 13 13 13 13 13 13 13 12 12 12 11 11 11 12 13 13 13 12 11 10 10 11 11 12 12 13 14 14 15 15 13 12 10 9 9 9 10 10 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 13 13 14 13 15 16 17 16 15 13 13 13 12 13 14 14 15 14 14 15 15 14 14 15 15 16 16 17 17 18 18 18 14 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 13 13 13 13 13 12 12 12 12 12 12 13 14 14 14 15 14 14 15 14 13 13 14 15 15 15 14 14 14 14 14 13 13 13 13 13 15 16 17 17 17 16 16 14 13 13 13 14 15 14 12 12 12 13 12 12 12 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 nan nan nan nan nan nan 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 17 17 16 15 15 16 17 16 15 13 12 11 10 9 9 9 10 9 9 10 11 12 13 13 14 13 13 13 14 14 15 16 16 16 14 12 10 8 7 7 7 8 9 9 10 11 14 17 18 17 14 12 10 10 11 11 11 11 12 11 11 11 12 12 13 13 12 11 11 11 12 13 13 13 13 13 12 11 10 10 10 11 13 15 15 15 14 14 14 14 13 13 14 13 13 14 13 13 13 12 12 12 13 14 14 13 13 14 14 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 14 14 13 14 14 14 14 14 13 14 13 13 13 13 13 13 13 13 13 13 14 15 13 8 2 -3 2 26 40 30 23 17 15 14 14 13 14 15 15 15 15 15 15 15 14 14 14 14 11 7 8 18 30 29 23 23 21 18 17 17 15 14 12 13 14 14 14 14 13 14 14 14 14 15 15 15 15 15 14 13 14 14 14 13 11 10 9 9 9 11 13 14 15 14 13 15 17 16 16 17 17 15 15 14 15 15 13 13 12 12 12 13 12 12 12 12 12 12 12 12 13 14 15 15 15 15 15 15 15 15 16 16 16 15 13 12 10 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 13 12 12 12 12 13 13 13 13 13 14 15 15 14 14 14 14 14 13 13 15 16 16 13 11 11 12 12 12 13 14 14 14 14 15 15 15 15 15 16 16 17 17 18 18 19 19 18 15 13 11 8 7 8 9 9 10 10 11 11 11 11 11 11 12 12 13 12 13 12 12 11 11 12 12 13 14 14 14 14 14 14 13 13 14 13 14 14 14 14 14 14 15 15 14 13 13 13 14 14 14 14 14 15 15 15 17 17 14 13 13 13 14 14 13 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 9 13 19 24 27 28 28 27 26 27 29 30 30 32 30 27 23 22 21 20 23 26 23 18 15 16 17 14 12 11 12 14 15 15 15 16 17 18 18 17 17 17 17 18 19 20 20 20 18 15 13 11 11 11 10 10 11 11 8 6 5 5 5 5 5 6 7 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 12 14 17 20 22 19 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 2 0 0 2 4 5 1 0 0 0 0 0 0 0 0 3 6 8 10 13 15 16 15 12 15 18 12 6 6 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 3 0 0 1 0 11 38 47 49 62 78 84 85 83 81 83 85 82 78 74 74 78 92 104 103 92 102 124 126 108 90 78 75 80 96 99 78 81 98 111 108 101 101 99 92 90 89 92 106 121 138 143 129 109 106 120 125 111 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 nan nan 4 5 5 5 5 5 5 5 5 5 6 8 7 6 5 5 5 6 9 14 17 18 19 20 21 22 23 23 23 23 24 25 25 21 21 21 22 24 27 26 21 15 16 19 17 14 14 15 16 16 16 16 16 16 16 16 15 14 13 12 11 11 11 11 11 10 10 10 10 11 10 10 11 10 7 6 5 5 5 5 5 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 14 16 20 22 19 11 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 1 4 3 0 0 4 10 13 12 3 0 0 0 0 0 0 0 2 6 8 8 10 13 19 22 22 20 23 23 13 6 6 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 2 10 9 9 4 7 8 18 26 26 31 47 60 69 71 83 91 90 88 86 84 79 73 71 78 91 100 107 120 133 137 135 128 116 105 100 95 88 76 76 80 79 79 85 86 87 87 86 94 112 128 139 149 147 136 122 119 122 120 111 107 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 4 4 5 5 5 4 4 4 6 8 8 6 5 5 5 5 7 11 13 12 12 13 14 18 19 20 18 18 19 22 21 17 15 17 20 23 24 25 22 20 20 22 20 18 16 15 15 15 16 16 16 16 16 16 16 15 13 10 8 7 5 5 5 5 6 6 8 9 8 8 8 6 5 5 5 5 5 5 5 6 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 12 15 19 20 17 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 6 14 15 10 2 0 0 0 0 0 0 1 6 9 9 10 11 14 23 31 31 30 30 27 17 7 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 8 10 22 24 28 26 20 17 25 27 26 21 14 15 18 31 45 51 69 93 103 97 89 86 82 76 70 68 73 84 99 112 121 125 129 131 129 121 120 116 114 110 102 91 84 84 89 90 90 89 92 114 138 148 150 148 144 140 136 134 131 126 117 113 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 4 4 4 4 5 5 4 4 3 4 6 7 7 6 5 5 5 7 10 13 11 10 9 10 13 15 18 17 17 17 20 20 14 10 11 14 17 19 20 21 23 24 24 24 21 17 14 11 10 11 12 13 15 15 16 16 15 14 12 9 8 6 4 3 2 2 3 5 6 6 5 5 5 5 5 5 5 5 5 6 6 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 6 9 13 16 17 14 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 0 0 0 0 2 5 8 8 5 1 0 0 0 0 0 0 1 7 12 12 12 13 16 24 37 44 42 37 28 17 8 5 5 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 3 10 12 13 17 18 30 44 48 44 42 41 43 43 41 36 24 16 21 34 49 63 69 81 104 120 108 95 88 84 82 78 75 67 68 79 93 108 112 116 117 121 120 122 124 126 126 119 106 99 98 98 99 100 104 119 145 161 161 154 145 142 144 145 142 137 129 116 109 110 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 5 5 4 4 3 3 4 4 4 4 3 2 4 5 6 6 6 6 6 7 9 12 12 10 9 8 9 13 16 16 17 17 20 21 15 9 9 11 14 16 18 21 22 23 24 22 18 14 10 7 5 4 6 8 10 12 13 13 13 13 12 11 10 8 6 4 2 2 2 4 5 5 5 4 4 4 4 4 5 5 6 6 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 2 2 5 9 12 12 10 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 5 6 3 0 0 0 0 0 1 4 5 4 3 1 0 0 0 0 0 0 0 5 12 15 15 15 16 22 35 50 55 45 28 16 8 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 2 4 14 26 38 50 52 53 59 65 62 56 51 53 71 62 66 74 55 26 30 45 72 96 98 105 119 128 116 100 89 84 84 83 84 76 68 67 74 85 96 104 108 112 115 116 116 118 121 120 115 108 105 108 117 127 139 158 172 170 162 152 144 140 141 146 144 136 124 107 98 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 4 5 3 2 3 4 4 4 2 0 0 2 3 5 7 7 7 7 8 9 11 11 10 10 10 12 15 17 18 20 22 20 16 10 10 12 14 15 17 18 18 17 17 16 13 10 7 4 2 2 3 4 5 7 8 9 10 10 11 11 10 9 7 5 4 3 2 2 3 3 4 4 4 4 4 4 5 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 2 5 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 7 7 5 1 0 0 0 0 1 2 4 3 1 0 0 0 0 0 0 0 0 2 8 13 16 16 15 16 26 43 53 48 31 17 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 20 26 31 38 49 64 77 85 85 75 68 68 69 90 92 94 112 106 73 55 60 102 120 113 110 117 125 123 108 94 85 81 82 85 85 79 72 68 70 77 89 98 104 108 109 109 113 118 121 121 117 115 122 140 163 177 177 171 164 156 146 136 132 133 142 142 132 117 100 91 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 1 2 3 4 3 2 2 4 4 4 2 0 0 0 1 3 6 6 6 7 7 8 10 11 12 13 14 16 17 18 20 21 20 17 13 8 6 8 10 11 11 11 10 8 8 8 7 6 4 2 1 0 0 1 2 2 3 4 5 7 8 9 9 9 8 6 4 2 2 1 2 2 3 3 3 3 3 4 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 4 5 6 4 1 0 0 0 0 0 0 1 1 1 0 0 2 2 0 0 0 0 0 0 2 8 14 15 14 14 17 26 35 38 30 20 12 5 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 3 10 20 30 32 28 26 28 34 45 60 73 81 80 79 86 94 113 114 113 130 131 125 118 137 152 144 130 109 101 103 108 112 107 93 81 77 81 85 85 80 75 71 68 74 85 95 102 106 108 113 117 121 125 127 131 139 161 183 183 170 162 158 157 145 130 124 124 134 135 129 118 104 94 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 1 1 1 1 1 2 4 4 2 1 0 0 0 2 4 4 4 5 6 8 8 8 9 11 15 17 17 17 17 17 16 14 11 6 4 5 6 6 5 5 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 1 2 4 6 7 8 8 7 5 3 2 1 0 0 1 2 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 4 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 0 0 0 0 0 2 6 10 11 10 10 14 18 21 21 18 14 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 20 36 42 36 28 26 28 36 46 52 58 68 80 87 89 98 117 125 142 149 149 150 149 160 163 155 146 124 103 92 99 115 122 113 98 84 80 83 84 83 81 78 76 73 75 84 94 104 111 114 116 117 126 134 141 153 177 190 177 161 158 160 160 146 126 119 122 126 128 129 124 112 98 93 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 1 0 0 0 0 1 2 3 2 2 1 1 2 2 2 2 3 4 6 6 6 4 4 6 10 13 14 13 12 12 13 13 12 10 8 5 4 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 4 2 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 2 1 3 3 3 4 3 1 0 0 0 0 0 0 0 1 3 4 0 1 4 4 8 10 10 9 7 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 31 51 53 40 32 28 27 36 51 59 61 68 82 91 92 98 112 129 143 154 157 155 150 151 153 155 156 150 132 111 104 116 129 128 115 104 91 84 84 84 84 81 80 78 70 73 87 102 112 114 112 113 124 133 140 155 180 190 176 160 157 163 161 147 127 116 122 128 130 134 133 120 100 89 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 0 0 0 0 0 0 0 0 2 3 3 2 3 3 4 4 3 2 2 4 5 5 4 3 3 4 6 8 10 12 12 13 13 14 14 13 12 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 11 8 4 5 6 5 5 5 3 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 2 2 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 0 0 0 1 16 47 74 68 44 36 32 27 32 50 64 67 78 90 97 102 108 117 131 141 147 152 151 143 138 144 151 156 160 157 140 120 116 122 124 111 108 101 89 84 84 85 86 87 83 72 68 79 98 111 113 110 111 120 129 138 151 175 188 178 163 158 158 156 147 137 132 138 144 146 148 142 125 99 83 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 8 6 4 2 1 0 0 0 0 0 1 3 4 4 4 4 5 6 6 4 4 3 4 4 4 2 3 4 5 6 8 10 11 13 14 14 14 13 12 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 19 13 6 6 7 7 7 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 5 29 61 78 67 48 42 42 42 46 58 69 76 89 100 107 113 117 122 129 132 138 145 149 146 138 138 144 148 151 151 145 130 118 113 113 103 98 93 84 80 80 82 90 97 94 81 70 75 90 106 113 111 111 118 126 133 149 173 185 179 168 163 159 153 149 149 154 161 160 156 160 154 132 105 87 87 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 12 10 9 7 4 2 1 0 0 0 0 2 4 6 7 6 6 6 7 7 5 3 1 1 2 1 2 4 6 7 7 8 9 11 13 14 14 12 10 9 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 1 3 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 22 20 11 5 4 6 7 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 46 70 74 63 50 47 54 62 68 74 80 88 98 110 116 119 125 130 126 123 128 138 145 149 147 142 140 138 137 136 132 129 122 113 111 107 98 91 81 75 75 80 93 105 105 95 83 81 88 100 110 112 113 121 128 132 150 173 181 178 175 173 166 160 158 156 158 163 162 159 164 160 144 122 102 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 12 11 10 10 10 8 5 2 1 0 0 0 2 4 6 7 6 6 6 6 6 4 1 0 0 0 1 3 5 7 8 8 8 9 11 13 13 11 10 10 10 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 11 17 18 9 3 1 1 1 2 3 2 0 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 1 20 59 79 74 61 55 58 67 76 83 90 92 96 100 107 109 111 114 116 116 114 117 127 136 142 147 144 140 133 130 127 122 124 124 119 118 116 113 109 94 81 78 82 93 104 108 105 97 90 89 96 104 108 113 124 133 133 152 174 175 171 176 181 176 171 166 157 150 147 149 155 160 159 150 134 112 96 94 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 11 11 9 9 10 11 9 6 4 1 0 0 2 3 4 4 4 4 5 5 6 6 4 1 0 0 0 1 2 4 6 8 10 11 12 14 15 14 12 12 12 12 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 12 14 15 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 18 51 75 78 73 76 81 85 94 100 99 95 91 88 85 80 86 96 102 103 105 105 111 117 123 130 133 132 130 128 125 122 121 121 121 122 120 116 113 105 93 87 89 95 105 110 110 106 96 86 87 96 100 106 121 132 133 148 159 155 153 158 167 174 174 167 153 138 130 133 144 153 154 147 134 114 98 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 9 8 7 6 6 7 8 9 8 6 4 3 3 3 3 3 2 2 2 3 4 6 6 5 4 3 2 1 0 1 3 7 11 13 14 16 17 17 15 13 12 12 12 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 16 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 2 14 41 71 82 87 98 104 103 105 105 96 86 77 64 59 56 61 68 78 91 95 94 96 95 95 100 106 110 115 119 123 124 122 120 119 118 120 120 117 111 103 99 98 100 104 107 112 112 104 90 81 86 92 100 113 127 133 137 139 136 134 136 143 157 165 158 144 133 124 125 135 143 143 141 138 123 106 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 4 4 4 3 2 4 5 8 10 10 9 8 6 6 4 3 1 0 1 2 3 5 8 9 9 9 6 4 2 2 3 5 8 11 14 18 19 17 14 12 11 11 12 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 14 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 11 15 23 42 72 82 94 110 122 123 112 98 89 82 72 51 47 46 48 54 59 77 85 86 86 81 75 73 76 81 86 92 102 114 120 121 120 117 116 119 121 116 110 107 103 103 104 106 109 113 114 105 91 85 88 94 104 118 129 130 129 128 130 132 134 143 149 139 124 122 124 128 132 132 127 134 141 135 124 122 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 3 0 1 1 2 1 0 1 2 3 5 8 10 11 12 11 9 7 5 3 2 1 1 3 6 10 12 13 13 10 6 3 1 0 1 4 8 13 17 18 17 14 12 10 10 10 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 9 7 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 2 10 22 35 45 59 87 102 108 121 134 134 122 101 82 78 72 57 48 45 45 48 57 70 78 79 79 75 67 61 59 58 59 60 66 78 95 112 122 122 114 114 114 112 111 111 108 105 106 107 107 111 118 117 105 94 90 92 98 109 121 126 125 125 130 139 146 149 144 122 100 98 117 133 134 125 118 125 130 129 130 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 3 2 2 1 1 0 0 0 0 2 4 6 8 11 12 13 12 10 7 4 2 1 1 4 6 9 12 13 12 8 5 2 1 0 0 2 4 9 14 16 16 15 12 10 10 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 8 8 7 4 1 1 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 34 54 68 93 110 114 117 123 128 126 112 84 74 71 58 48 46 46 45 49 60 68 70 70 66 62 54 47 43 41 38 36 41 56 85 112 124 114 112 109 106 106 109 111 110 109 109 107 108 114 118 114 105 98 96 101 109 119 126 124 124 127 140 156 162 152 128 105 94 114 138 142 131 119 115 116 118 125 135 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 9 8 7 6 4 3 1 0 0 0 0 0 2 3 4 6 8 11 14 14 12 9 6 2 1 1 3 5 6 6 6 5 3 3 2 2 2 2 2 3 6 11 15 16 14 11 9 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 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 2 5 7 8 7 4 3 3 4 5 6 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 8 18 36 51 78 98 105 106 110 119 126 122 98 79 70 55 46 44 36 32 38 44 50 54 55 52 51 44 35 29 26 18 6 12 25 49 82 105 110 108 102 95 94 99 106 112 114 112 109 106 107 111 113 110 107 107 112 118 123 125 122 121 124 137 156 170 166 152 136 126 132 147 152 144 134 126 122 122 127 132 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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