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 9 6 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 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 4 4 5 4 4 5 5 5 6 5 5 5 5 4 5 5 6 7 7 7 7 6 6 5 4 4 4 5 5 7 8 8 7 6 5 6 6 6 6 6 5 5 5 3 3 1 1 3 7 6 6 6 3 -3 2 3 2 3 7 5 10 14 8 4 3 4 4 5 8 6 9 12 8 3 7 7 -1 -2 4 9 5 -0 2 12 17 8 -5 -4 2 2 4 3 1 4 2 -4 -8 -9 -5 2 8 12 6 -1 0 3 3 2 2 3 6 6 5 7 23 41 34 15 7 4 3 3 3 3 2 3 3 3 3 3 4 5 5 6 7 8 8 8 9 11 13 13 13 11 10 8 6 6 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 5 7 7 5 5 4 3 4 4 4 3 4 6 5 5 5 5 5 5 5 5 7 9 5 1 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 7 9 12 14 12 10 7 5 5 4 4 4 3 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 5 6 5 5 5 4 4 4 4 4 3 4 7 14 20 16 11 10 12 12 6 2 -1 -5 -10 -3 1 0 5 5 3 3 5 3 2 -1 -5 -5 -3 -2 -1 0 3 5 6 7 7 8 10 11 12 13 13 11 9 8 7 7 8 8 8 8 10 9 8 9 12 14 12 10 9 7 6 5 4 4 5 5 5 5 5 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 13 13 9 5 4 3 3 3 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 3 3 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 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 7 6 6 5 4 4 4 5 6 8 8 8 7 6 6 6 6 6 5 5 5 4 3 2 -1 -0 6 9 5 5 13 8 1 3 -0 4 5 6 5 5 7 8 9 10 7 12 16 9 8 11 11 7 6 12 8 1 1 7 11 9 1 -3 4 16 14 3 -3 -0 9 11 6 3 6 5 0 -0 -3 -5 -1 8 12 5 -0 -1 -1 2 6 8 9 9 9 10 19 34 37 22 9 5 3 3 3 3 3 2 3 3 3 2 3 4 4 5 5 7 7 8 8 8 9 10 11 12 12 12 11 10 9 8 7 6 5 5 5 4 4 4 4 3 3 3 2 3 5 7 6 5 4 4 5 5 4 3 4 5 5 5 5 5 5 5 5 5 5 7 7 1 -1 2 3 2 2 3 4 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 6 8 11 13 13 9 6 5 5 5 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 8 14 18 17 13 12 12 12 10 9 4 2 1 3 4 6 6 5 7 8 4 2 3 2 -1 -0 0 -1 -0 2 4 5 5 5 5 6 6 8 10 11 10 8 7 7 8 8 7 7 8 9 10 11 12 12 10 8 5 5 6 6 4 3 3 4 5 4 3 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 14 15 13 9 7 5 4 4 4 3 3 4 4 5 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 3 4 4 3 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 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 5 5 5 5 6 6 7 8 9 9 8 6 6 5 4 4 4 5 6 7 9 9 8 6 6 6 7 6 5 4 5 4 3 0 -2 3 12 9 4 7 17 9 2 3 -1 5 9 8 4 0 1 5 7 10 7 9 13 9 7 7 6 5 8 11 7 6 8 8 8 10 6 5 9 9 8 7 5 5 11 8 3 5 9 11 7 4 1 -1 2 8 8 5 2 -1 -1 3 7 9 10 10 12 21 35 37 24 10 6 4 3 3 4 3 3 3 3 3 3 2 3 3 4 5 5 6 7 7 8 8 7 8 9 9 10 11 12 12 11 9 8 6 6 5 5 5 5 4 3 3 2 2 2 1 2 5 6 5 4 4 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 6 6 -2 -7 -1 3 1 -1 1 4 5 5 5 5 5 5 6 6 5 5 5 5 4 4 3 3 2 3 3 4 4 4 4 5 5 7 9 12 12 9 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 6 11 15 15 12 8 7 5 3 3 4 3 4 5 5 4 4 7 7 5 3 4 6 5 5 3 2 2 2 3 4 4 5 5 4 5 6 7 8 8 8 9 10 10 9 7 6 7 9 10 11 12 10 7 4 2 2 3 4 4 4 4 4 5 4 3 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 10 13 14 13 10 8 6 5 5 4 3 4 5 5 4 3 3 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 1 2 2 2 2 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 5 5 4 5 5 5 6 6 6 6 7 7 9 10 10 8 6 6 6 5 4 4 4 5 6 8 9 8 7 6 6 6 6 5 5 4 4 3 -1 -4 2 10 6 1 4 11 8 5 4 5 2 8 11 1 -4 2 5 6 6 2 2 4 6 5 5 3 3 6 6 4 9 10 6 4 6 7 9 16 14 9 6 7 12 13 5 -3 -0 11 17 12 2 -4 -3 3 6 7 5 2 0 2 5 6 7 8 12 23 37 40 27 12 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 7 8 8 7 7 7 7 8 10 11 11 11 10 8 7 6 5 5 5 5 3 3 2 3 2 2 0 0 4 6 5 4 5 6 5 5 6 7 6 6 6 5 5 5 5 6 6 6 5 7 3 -5 -5 1 2 -0 0 4 5 6 6 6 6 6 6 6 5 5 5 5 4 3 3 2 3 3 4 4 4 5 4 4 5 6 8 10 11 10 7 5 5 5 4 4 3 3 4 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 3 7 11 11 7 4 2 0 -0 1 3 5 6 5 4 3 5 6 5 4 5 5 5 5 5 3 2 3 4 4 4 4 4 4 5 5 6 7 7 8 9 12 13 12 9 7 7 7 9 10 11 9 5 3 2 1 2 3 5 6 4 4 4 5 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 8 11 13 12 10 8 8 7 5 4 5 6 5 4 4 3 3 4 5 5 6 5 5 5 4 4 4 5 5 4 3 3 3 3 3 3 3 3 2 2 1 2 2 2 2 2 2 2 3 3 3 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 4 4 3 4 4 4 3 3 3 3 4 3 3 3 4 4 5 4 3 3 4 5 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 8 9 10 10 9 7 6 6 5 4 4 4 4 6 7 9 9 8 6 6 6 6 5 5 4 4 3 1 -4 -2 4 5 4 5 4 3 10 11 7 -1 6 13 4 -2 3 8 9 3 -0 -0 1 2 4 5 2 2 4 3 2 6 8 6 4 5 5 5 9 17 17 10 10 9 9 11 3 3 9 11 10 4 0 3 4 3 4 4 4 3 4 4 5 7 8 20 36 40 29 14 6 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 6 7 8 7 7 6 6 7 9 10 10 10 10 9 7 6 6 5 4 4 3 3 3 3 3 3 4 5 6 6 5 5 4 4 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 1 -5 -2 6 7 3 4 5 6 6 7 7 7 7 5 3 4 5 5 4 3 3 2 3 3 4 4 5 5 4 5 5 6 7 9 10 10 8 7 6 5 4 3 3 2 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 3 2 1 1 0 0 -1 -1 1 4 8 8 6 5 3 2 2 3 5 6 5 3 4 6 8 7 5 5 6 6 5 5 4 3 3 4 4 5 4 4 5 6 7 8 8 8 9 11 14 16 14 10 7 6 6 6 7 8 7 5 3 1 2 3 3 4 4 3 3 3 5 5 5 5 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 2 3 6 9 10 9 9 10 10 8 7 6 6 6 5 4 4 4 5 5 6 6 6 5 5 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 9 10 10 9 7 6 6 5 5 5 4 4 5 7 9 10 9 7 6 5 5 5 5 4 4 4 2 -2 -1 5 5 4 6 2 -1 11 15 6 1 3 8 7 4 4 10 8 3 3 1 -2 -2 3 5 3 3 5 6 3 3 3 5 5 5 2 3 4 9 11 9 9 4 2 10 14 11 6 6 7 8 10 10 6 4 4 5 7 6 4 2 3 5 9 24 34 26 13 6 5 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 4 4 5 5 5 5 6 7 7 7 6 6 7 8 9 10 10 10 9 8 7 6 5 4 3 3 3 4 4 4 3 4 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 7 5 -1 -4 2 8 6 4 5 6 7 8 8 8 6 4 3 3 5 5 4 4 3 3 2 3 4 5 5 5 5 5 5 6 7 8 9 10 10 9 7 5 3 3 3 3 2 3 3 3 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 2 1 -1 -3 -4 -3 -4 -4 -1 2 5 7 8 8 7 6 5 4 6 7 6 4 5 6 11 12 8 6 6 7 6 5 4 3 3 3 4 5 5 5 6 7 8 9 9 8 9 12 15 16 13 10 7 6 5 5 5 5 5 4 2 1 1 1 1 2 2 2 1 3 3 4 5 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 3 1 2 5 7 6 7 9 10 10 9 8 8 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 2 2 2 2 3 3 3 3 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 6 6 7 7 7 6 6 6 7 7 8 10 10 10 9 7 6 6 6 5 5 4 4 4 6 8 9 10 9 7 6 5 6 5 5 4 5 4 1 2 6 6 4 7 6 3 7 6 3 4 5 3 5 8 7 7 2 -1 6 7 0 -2 3 5 2 1 5 5 4 3 4 3 1 -0 -1 5 7 6 3 4 4 5 3 1 6 7 6 5 -0 5 11 11 6 5 6 5 5 6 5 4 4 4 11 24 24 13 5 4 5 5 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 6 7 7 6 6 7 7 8 9 9 10 10 9 7 6 5 4 4 3 4 4 4 3 3 2 5 5 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 5 5 6 6 4 -1 -4 1 5 4 4 5 6 9 11 10 6 3 3 4 5 5 4 4 4 3 3 3 4 5 5 6 6 5 5 5 6 7 9 10 11 11 8 6 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 -0 -2 -2 -1 -0 -1 1 3 5 5 6 8 8 8 7 5 6 8 7 5 4 6 11 14 12 8 7 6 6 5 4 3 3 4 4 5 5 4 5 7 9 10 9 8 8 11 13 14 12 9 7 5 5 4 3 3 2 2 1 1 1 1 0 1 1 2 1 1 1 2 3 5 6 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 13 8 3 2 3 4 3 3 5 8 9 10 9 9 9 9 8 7 6 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 3 3 4 4 4 4 3 3 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 3 3 3 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 6 6 8 8 8 7 6 8 9 9 10 11 10 10 9 7 6 5 6 6 5 5 4 4 5 7 9 10 9 8 6 6 6 5 5 5 4 4 4 2 4 6 7 10 10 7 7 6 3 3 5 2 3 8 9 6 -2 -5 2 7 6 2 4 3 1 0 3 3 4 6 7 3 -3 -6 1 8 10 9 1 -1 -1 6 5 1 1 3 6 4 -4 -1 4 5 4 7 11 7 4 5 6 6 6 8 18 26 19 8 5 5 5 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 7 7 8 9 10 9 8 7 6 6 5 5 5 4 4 3 3 3 2 4 6 6 5 5 5 5 5 6 5 5 5 5 6 5 5 4 4 4 6 7 6 5 5 6 6 3 -1 -2 2 4 4 4 4 6 11 11 8 5 5 6 6 5 4 4 3 4 3 3 3 4 5 6 6 6 5 4 5 6 7 10 12 12 10 7 4 3 3 3 3 3 3 3 3 4 4 5 5 5 6 5 5 5 5 5 4 4 4 3 3 2 3 3 4 5 6 4 3 2 3 4 4 3 4 5 5 4 5 7 7 6 5 5 8 8 5 2 4 9 11 11 9 8 7 5 4 5 4 3 3 4 6 6 4 4 5 8 9 8 7 8 9 11 12 11 9 7 6 6 5 3 2 1 0 0 0 1 1 0 1 2 3 2 1 0 1 1 2 3 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 14 13 9 4 3 4 3 1 1 4 6 8 8 8 8 9 9 8 7 6 6 5 4 4 4 4 4 3 2 2 2 3 3 4 4 4 4 4 3 3 3 3 4 4 3 4 3 2 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 3 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 6 7 8 8 8 7 8 9 11 11 11 10 10 10 9 7 6 5 5 6 6 5 4 3 5 6 8 9 9 9 8 7 6 6 5 5 5 5 4 3 2 4 8 9 8 7 8 8 9 10 7 2 1 6 10 9 2 -0 1 5 10 7 8 6 5 4 3 3 5 8 10 6 -3 -5 5 9 10 8 2 -4 -2 3 3 5 9 9 9 6 1 -2 1 -1 1 8 11 7 4 3 5 7 8 13 24 25 14 6 5 5 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 6 6 5 4 3 3 3 2 2 5 11 12 9 7 6 5 6 6 5 5 4 5 5 4 3 3 3 3 4 6 5 5 5 6 5 5 3 -0 1 4 4 3 2 2 5 8 8 6 6 6 6 6 5 4 3 4 4 3 3 4 4 5 6 6 6 5 5 5 7 8 10 12 11 8 5 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 5 5 5 4 3 3 2 3 6 7 7 7 7 5 4 4 4 3 4 3 4 4 3 3 5 7 6 4 4 7 8 4 1 3 7 9 8 8 7 6 6 5 5 5 5 4 5 7 8 6 5 4 6 8 7 6 6 7 9 10 10 9 9 8 8 7 5 3 1 0 1 1 1 2 2 2 2 3 3 2 1 -1 -1 -1 0 2 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 10 14 13 8 6 6 4 1 0 1 3 5 6 7 7 8 8 8 8 7 6 5 5 4 4 4 4 4 3 3 3 2 2 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 2 3 2 2 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 8 8 8 9 11 12 12 11 9 9 9 9 7 6 6 6 6 6 6 5 4 4 5 7 9 9 9 8 7 7 6 6 5 5 5 5 4 3 5 8 8 5 4 3 3 10 12 8 5 4 4 5 6 7 7 5 4 11 13 12 11 10 7 3 4 5 6 6 4 -1 1 8 9 7 5 3 -3 4 5 6 8 7 8 10 3 4 3 5 4 4 8 9 6 3 2 5 7 7 15 25 21 9 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 8 8 8 8 8 7 7 7 6 5 5 4 4 3 2 2 3 6 11 15 15 14 12 10 9 8 7 5 5 4 4 3 2 2 2 2 4 4 5 4 4 5 6 5 5 3 3 4 4 4 2 0 1 3 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 5 6 6 5 4 4 6 7 8 10 11 10 7 5 4 3 2 2 1 2 2 3 3 4 4 5 6 6 6 6 6 6 5 5 4 3 3 2 3 8 12 10 7 7 6 5 5 4 3 3 3 4 5 5 4 5 7 7 5 4 6 8 6 3 4 6 7 8 7 7 6 6 6 6 6 5 4 4 6 8 8 9 9 6 6 5 4 4 5 6 8 9 10 10 10 9 8 6 5 4 2 2 3 4 5 4 3 3 3 3 3 2 -0 -1 -1 -1 -0 1 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 5 11 14 12 9 8 7 4 2 1 1 2 4 5 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 5 5 5 5 5 6 7 7 8 8 9 10 11 11 11 10 10 9 9 9 8 7 6 6 6 6 6 6 4 4 5 6 8 9 9 8 8 7 6 6 5 5 5 5 5 5 8 12 10 5 2 0 0 6 9 7 4 4 2 0 3 9 9 5 3 4 13 14 12 9 6 4 6 8 3 1 1 2 6 9 8 6 4 4 3 7 7 9 6 4 6 4 -2 2 6 7 10 12 11 10 6 3 4 5 4 5 16 23 15 6 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 8 8 8 8 8 8 7 6 6 5 4 4 3 3 3 3 4 7 11 15 17 17 17 15 13 11 10 10 8 6 4 3 2 2 2 2 3 6 8 8 8 8 9 9 8 6 5 5 4 3 0 -1 0 2 2 3 3 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 3 3 5 7 8 10 11 10 8 6 4 2 1 -0 -0 0 2 3 4 4 5 5 6 5 4 5 5 5 3 3 2 2 2 2 6 12 11 8 8 6 5 5 5 3 3 3 5 6 6 6 7 8 8 6 4 5 7 6 5 5 6 6 7 7 7 7 6 6 7 7 6 5 4 5 7 8 9 11 9 6 4 3 2 2 3 5 7 9 9 9 9 8 7 6 6 5 4 5 6 6 6 5 4 4 4 4 3 1 1 2 1 0 0 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 7 11 12 10 9 9 8 5 3 1 1 2 4 5 6 6 6 6 6 5 5 5 5 5 4 5 6 6 6 6 5 4 2 2 2 3 3 3 3 3 3 2 2 2 2 1 1 2 2 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 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 8 9 9 10 11 10 11 10 9 9 9 9 7 6 6 6 6 6 6 5 4 4 5 7 9 10 9 8 7 6 6 6 5 5 6 6 8 14 19 12 7 1 0 4 6 7 8 6 3 2 3 8 10 8 3 0 1 9 13 11 6 2 3 8 13 6 1 3 5 7 7 4 2 2 4 6 5 7 7 1 3 3 5 3 3 3 6 9 9 9 8 5 3 5 6 4 8 18 19 11 5 4 4 3 3 3 4 3 3 3 3 3 3 4 4 4 4 3 4 4 3 4 4 4 4 4 4 5 5 6 6 7 7 6 6 6 6 7 7 7 7 7 6 6 5 5 4 4 3 3 2 3 3 4 6 8 10 11 13 14 14 14 14 14 12 10 8 6 5 5 5 4 7 13 17 19 18 17 15 12 10 6 6 6 5 4 2 1 0 1 2 2 2 3 4 5 5 6 6 6 7 6 6 5 5 5 5 5 5 5 2 -4 -3 3 7 8 9 10 10 9 7 6 4 2 0 -1 -1 0 2 3 5 5 5 3 2 2 2 2 0 -1 -1 -0 0 0 4 9 8 6 7 6 5 6 6 5 4 3 4 6 7 6 6 7 8 6 4 5 5 6 5 4 5 6 6 6 7 7 7 7 7 7 6 5 3 3 5 6 7 10 10 8 6 3 1 1 1 2 4 6 7 7 7 7 6 7 6 7 7 6 7 7 7 7 6 7 7 7 5 6 7 7 5 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 nan nan
nan nan nan nan nan nan 2 3 5 8 8 7 6 7 9 9 6 3 1 1 2 3 4 5 6 6 5 5 5 4 4 4 3 3 4 5 6 6 5 4 3 2 2 2 3 3 3 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 3 3 3 4 3 3 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 8 8 9 9 10 10 8 9 10 10 10 8 7 6 7 6 6 6 5 4 5 5 7 9 10 10 8 8 7 7 6 5 5 6 7 10 19 19 10 4 -2 2 9 7 -1 6 12 11 6 7 7 7 6 3 1 1 6 9 9 7 3 3 6 10 8 4 6 8 5 5 3 0 1 1 3 1 6 4 0 4 4 8 7 1 -4 -1 4 6 5 6 5 4 4 5 7 15 21 16 8 4 4 3 3 4 3 3 3 3 4 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 6 7 7 7 6 6 5 6 6 6 6 6 5 5 4 4 4 3 3 2 3 3 2 3 3 3 3 3 4 6 8 9 10 9 9 9 8 8 10 11 12 16 20 20 19 20 22 23 20 15 9 5 5 6 7 6 5 3 1 1 1 1 2 2 3 4 5 6 6 6 6 7 6 6 6 5 5 4 5 7 5 -2 -9 -6 3 7 7 8 9 9 9 9 9 8 7 4 -0 -2 -3 -2 0 3 4 2 -0 -1 -0 0 -1 -3 -3 -3 -1 1 3 5 5 5 6 5 5 6 7 9 7 4 3 4 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 6 5 4 3 3 3 5 8 10 10 8 5 2 1 0 0 2 4 5 6 6 5 6 7 7 8 8 7 7 7 7 8 8 10 13 17 18 19 16 11 7 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 4 3 3 5 6 5 3 2 3 8 11 8 5 2 1 1 1 2 3 6 6 6 5 5 4 4 3 3 2 3 4 5 5 5 4 3 2 2 2 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 2 2 3 3 3 3 2 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 8 8 9 9 8 7 8 10 11 10 9 7 7 7 7 7 6 5 4 4 5 7 9 10 10 8 8 8 7 6 6 5 6 7 9 15 12 6 0 -2 7 8 6 -2 9 14 10 7 3 2 5 6 5 4 3 4 7 10 11 10 9 4 1 3 6 9 9 5 7 6 3 2 3 5 3 4 4 5 6 10 10 5 -2 -5 1 5 6 5 6 7 7 5 5 10 20 21 13 6 4 3 3 4 4 3 4 4 4 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 8 7 5 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 4 5 5 6 7 8 10 12 13 16 19 17 14 11 11 13 15 16 13 6 4 4 5 6 7 7 6 4 2 2 1 1 2 2 1 3 5 4 2 4 6 7 6 6 6 5 5 5 8 10 7 -0 -5 -1 5 6 6 6 7 8 9 10 11 12 11 8 3 -2 -5 -6 -4 -1 1 -1 -2 -2 -0 0 -1 -0 -0 0 3 4 3 2 4 6 6 6 6 8 11 9 7 5 4 3 4 4 5 6 7 5 4 5 4 4 5 5 6 6 7 7 7 7 7 7 6 5 5 4 3 2 2 4 6 9 11 10 8 5 3 1 2 2 4 5 5 5 5 5 7 8 8 8 7 7 6 7 8 10 13 19 27 32 30 21 11 7 6 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 4 2 3 4 5 5 3 -1 -1 4 9 9 7 4 3 2 1 1 2 3 4 5 5 5 4 4 4 3 2 2 3 4 4 5 4 4 2 3 3 2 3 2 2 2 2 2 1 2 1 1 1 1 1 1 2 1 1 1 1 2 2 2 2 3 2 2 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 4 4 4 4 5 5 6 5 4 4 5 5 6 6 7 7 8 8 8 9 8 7 7 9 11 10 8 7 6 6 7 7 6 5 4 5 6 8 9 10 10 9 9 9 8 6 5 5 6 7 7 8 5 4 0 5 10 2 -2 1 5 11 7 10 2 -1 3 4 5 9 10 8 6 8 12 14 12 7 -0 1 4 5 6 8 9 6 6 6 8 10 7 5 7 8 7 13 14 10 1 3 6 6 4 5 7 8 7 6 5 14 23 19 9 4 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 4 4 4 4 5 5 6 8 7 5 4 3 3 3 2 2 2 2 1 1 1 1 0 1 1 0 1 1 -0 -0 0 1 1 1 2 3 5 6 6 8 10 11 9 8 8 8 5 5 6 6 6 7 9 8 6 5 4 4 5 6 7 7 6 4 3 2 2 2 3 1 -1 3 4 -2 -5 0 6 7 6 6 6 6 6 9 13 11 8 5 2 3 4 4 4 4 5 6 7 8 10 12 12 11 6 -0 -7 -10 -8 -4 -3 -4 -1 1 1 2 4 4 4 5 5 4 3 3 5 7 6 5 6 10 10 9 8 5 3 3 3 4 6 8 7 5 5 4 4 5 5 6 6 7 8 8 9 9 8 7 6 5 4 4 3 2 2 3 6 9 10 9 7 5 5 4 4 6 6 6 6 6 6 7 9 9 8 7 7 6 7 8 10 14 19 27 32 27 18 11 7 6 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 1 2 4 6 6 4 -1 -3 1 6 7 6 5 5 4 3 3 3 2 3 3 3 3 4 4 4 3 2 2 2 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 4 5 4 4 4 4 4 5 6 6 5 5 5 5 6 6 7 7 8 8 8 10 9 7 7 9 9 8 7 6 6 6 6 7 6 5 5 6 7 9 10 10 10 9 9 9 8 6 5 5 4 6 6 5 4 4 3 10 7 4 -0 8 2 7 10 16 7 3 2 4 2 5 9 9 5 4 11 14 11 6 5 7 4 -1 2 8 7 6 6 6 10 10 6 6 9 8 8 13 16 15 6 7 7 5 3 5 8 8 6 6 8 18 23 14 6 4 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 6 7 7 6 4 4 3 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 1 1 1 2 3 3 4 4 5 6 6 8 9 8 6 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 5 4 3 3 5 6 2 3 6 2 -7 -9 -2 5 6 6 6 7 7 9 13 14 8 6 4 3 3 3 3 3 3 2 2 3 4 5 6 9 10 8 1 -7 -10 -7 -4 -2 -0 1 1 2 4 5 5 5 4 4 4 4 5 5 6 3 1 4 7 7 8 6 4 3 3 4 5 7 7 6 5 5 4 5 5 5 5 6 8 10 11 11 10 8 7 6 5 5 4 3 3 3 3 5 7 8 8 7 7 6 6 7 8 8 7 7 7 7 9 9 9 8 6 6 7 8 10 13 16 17 18 16 12 11 9 7 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 1 2 4 6 7 5 2 0 1 4 5 4 4 6 6 5 5 4 3 3 2 2 3 3 3 3 2 1 2 2 3 4 4 5 4 3 3 4 5 5 5 4 4 4 4 3 3 3 3 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 5 5 4 4 5 6 5 5 5 5 5 6 6 7 8 9 10 10 11 10 8 7 8 8 7 6 5 5 5 6 7 7 6 6 6 8 10 11 11 10 9 9 8 7 7 5 4 4 5 5 4 4 4 5 7 4 6 5 11 4 6 14 16 12 8 4 5 1 -1 4 4 1 2 8 12 9 3 5 9 2 -3 -0 3 6 9 6 2 6 8 4 6 8 7 7 10 12 11 8 9 6 1 2 5 6 7 6 5 10 21 21 10 4 3 4 4 3 3 3 3 2 2 3 3 4 3 3 4 4 4 3 4 3 3 4 4 4 4 4 5 5 4 4 4 5 5 5 5 6 6 5 5 4 3 3 3 2 2 2 2 2 1 2 2 2 2 2 2 2 3 4 4 4 4 5 5 5 4 4 6 6 5 4 3 4 5 5 5 5 5 5 5 5 6 5 5 5 5 6 5 5 6 6 6 6 6 5 4 5 8 9 7 10 10 2 -7 -9 -3 2 2 4 5 7 8 9 11 8 3 2 2 2 1 1 1 -0 -1 -3 -4 -3 -1 -2 -2 3 8 7 4 2 2 3 1 -0 0 2 2 2 3 5 5 5 5 5 5 6 6 6 5 0 1 5 5 6 6 5 4 4 3 4 6 7 6 6 5 5 5 5 4 5 6 9 11 12 12 11 10 8 7 6 6 5 5 4 4 4 4 5 6 7 7 7 7 6 7 8 8 7 7 7 8 8 8 8 8 7 6 5 7 8 10 11 10 8 5 6 8 7 6 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 2 1 2 4 6 6 6 6 6 5 5 5 3 3 4 6 6 6 5 4 3 2 1 2 3 3 3 1 0 1 2 3 3 4 4 3 2 2 3 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 9 10 12 14 12 10 8 7 8 8 7 6 5 5 5 6 6 7 7 7 8 10 11 11 11 10 9 8 7 7 6 5 2 3 4 4 3 5 8 6 3 5 2 5 5 6 6 11 9 9 10 6 6 1 0 7 -0 -5 -0 3 8 10 4 3 5 2 0 -1 -2 5 10 4 -5 -3 3 6 5 6 6 7 9 7 6 9 8 3 -1 1 4 6 7 6 5 11 20 18 8 4 4 3 4 3 3 3 3 2 2 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 5 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 4 5 5 6 6 5 6 6 6 6 7 7 5 5 6 7 8 10 11 7 1 -7 -9 -6 -5 -2 -0 4 8 7 7 6 3 2 1 1 -0 -0 -1 -3 -4 -4 -6 -6 -4 -2 -3 -1 4 8 10 10 8 8 5 2 2 3 2 2 2 3 5 6 7 7 6 4 5 7 7 4 4 5 5 6 6 5 5 5 4 4 5 5 6 6 6 6 5 4 4 4 5 8 11 12 12 12 11 9 8 8 7 7 6 5 4 4 4 5 6 7 8 8 7 6 6 7 6 6 6 6 7 8 8 8 8 7 6 4 5 5 5 5 4 3 3 4 5 4 2 2 2 2 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 3 1 1 2 3 4 5 5 7 10 10 8 5 4 3 3 4 4 5 5 5 5 3 2 2 3 4 3 1 0 0 1 2 3 3 3 3 2 1 2 3 4 5 5 5 5 4 5 4 4 5 5 4 4 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 3 3 3 3 4 4 4 3 3 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 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 7 7 8 8 9 11 14 16 15 12 9 8 8 8 7 6 5 5 4 5 5 6 7 8 8 9 11 12 13 12 10 9 7 6 6 6 4 2 3 4 5 5 8 10 4 2 5 3 8 -0 3 0 7 5 4 7 4 4 3 6 10 -0 -7 -3 -1 5 15 13 6 2 2 4 1 -3 1 4 -0 -4 -2 2 7 4 4 7 10 8 5 3 5 4 3 6 5 4 5 6 5 5 13 21 16 7 4 4 4 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 8 7 7 6 5 5 6 9 11 6 2 -0 -3 -4 -5 -5 -6 -4 3 6 6 6 3 2 2 2 1 1 0 -1 -1 -1 -0 -1 0 3 4 3 4 6 8 8 7 7 7 5 6 5 4 5 7 7 6 7 8 9 8 4 3 6 5 5 5 5 5 6 5 5 5 5 5 4 3 5 5 6 6 6 5 4 4 4 4 7 9 11 11 12 11 11 10 9 8 7 7 6 5 3 4 5 6 7 9 9 8 6 6 6 6 6 5 6 6 7 8 9 7 6 6 5 4 3 2 2 2 2 2 2 4 3 2 2 2 2 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 3 1 0 2 3 3 3 3 5 9 11 10 8 5 3 3 3 3 2 3 4 5 5 3 3 4 5 4 2 1 1 1 2 3 3 3 3 2 2 2 2 3 4 4 4 5 5 4 5 5 5 5 4 4 5 5 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 7 8 8 8 9 11 14 18 18 16 13 9 8 9 9 7 6 5 4 4 4 4 5 6 7 8 9 11 13 13 12 10 8 6 6 6 5 3 2 4 5 5 6 8 9 4 2 2 4 8 7 6 -2 2 3 4 3 5 2 5 12 14 5 0 -3 -4 4 15 15 8 2 2 4 3 0 1 -0 0 5 5 4 4 1 3 8 9 6 6 5 3 0 2 13 11 6 6 5 5 4 14 23 16 6 4 3 4 3 3 3 3 3 3 2 3 3 4 3 4 4 4 4 4 3 3 3 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 8 12 11 5 4 3 2 2 0 -3 -7 -6 -1 2 4 3 2 2 3 3 3 5 6 4 3 4 4 5 5 6 6 5 5 5 6 6 5 5 5 8 8 7 10 13 12 10 8 6 7 8 6 4 4 5 5 5 5 5 5 5 4 4 5 6 5 3 4 5 6 6 6 6 5 4 3 4 5 7 9 9 11 12 12 11 9 8 7 7 7 7 5 4 6 7 7 9 10 9 7 6 6 6 6 5 5 6 7 8 8 7 6 5 5 4 3 2 3 3 4 4 3 3 4 3 2 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 2 1 2 2 3 3 2 3 6 9 10 9 7 5 3 3 2 1 1 3 4 4 4 4 5 6 5 3 1 1 1 2 3 3 3 3 3 2 2 3 3 3 4 4 4 5 5 5 4 5 4 4 4 5 5 5 5 4 4 4 5 4 4 4 4 4 3 3 4 3 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 4 4 3 4 4 4 4 3 3 4 4 4 4 3 3 4 3 3 4 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 6 5 5 5 5 6 7 8 9 9 9 13 18 21 20 17 14 11 9 9 8 7 6 5 4 4 4 4 5 5 7 8 9 12 14 14 12 10 7 6 5 5 4 3 2 4 4 4 5 6 8 8 4 2 4 6 19 13 2 -4 -2 6 2 5 2 3 16 19 13 7 -2 -4 4 11 11 8 4 4 5 3 5 4 1 3 7 8 5 2 3 6 8 7 5 7 9 4 1 4 10 9 8 7 6 6 6 14 23 15 6 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 4 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 5 6 5 5 7 12 16 14 8 4 4 4 4 2 -2 -4 -6 -6 -2 1 -0 -0 2 4 5 7 9 7 5 5 5 4 4 5 5 5 4 5 5 6 7 5 3 7 10 12 13 13 11 9 7 5 5 6 6 5 5 5 5 5 6 6 5 4 4 6 8 9 6 3 4 5 6 7 6 7 5 3 3 4 5 6 7 8 9 11 11 11 10 8 7 7 7 8 7 6 6 7 8 9 11 10 8 7 6 6 6 6 5 6 7 7 7 7 6 5 4 4 4 4 5 6 6 6 5 4 5 4 4 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 3 2 2 2 2 3 3 2 2 4 5 7 8 8 6 4 3 3 2 1 1 2 3 3 4 5 5 5 3 1 1 2 2 2 3 3 3 3 2 2 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 5 5 4 4 4 5 4 4 4 4 4 3 3 3 3 3 4 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 3 4 4 5 4 3 3 4 4 3 4 4 4 4 4 4 4 4 5 4 4 5 5 5 4 4 4 4 5 5 5 5 6 5 6 7 8 9 9 10 17 23 23 19 17 15 12 10 9 8 6 5 5 4 4 4 4 4 5 6 7 10 12 14 13 11 9 7 5 4 4 3 2 2 3 1 4 7 4 5 7 6 6 5 5 17 14 7 0 -4 5 5 6 0 -3 14 19 13 6 -0 0 4 5 3 4 6 5 3 1 4 4 4 4 5 9 7 3 7 10 10 8 4 5 7 4 3 4 3 4 5 7 7 6 10 18 22 14 5 4 4 3 3 3 3 4 3 3 3 3 3 4 4 3 4 4 4 4 3 3 4 3 4 5 5 5 4 4 4 4 4 5 5 5 5 6 6 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 4 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 5 9 13 17 13 8 8 6 3 3 2 2 -1 -6 -6 -3 -4 -3 -1 -0 1 3 6 7 6 6 6 4 3 4 5 5 5 5 4 5 8 9 6 7 10 12 13 11 7 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 6 11 13 8 4 4 5 7 7 7 7 5 4 3 4 5 6 6 7 8 10 10 8 8 8 7 7 7 7 8 7 7 8 8 10 10 10 9 8 7 7 6 6 5 6 7 7 7 6 5 5 4 3 3 5 5 6 6 6 6 6 6 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 nan nan 1 1 2 3 2 2 3 2 3 3 3 3 3 6 7 8 6 5 4 3 1 0 1 2 2 2 4 5 4 3 2 2 3 3 2 3 3 2 2 2 2 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 3 3 3 3 4 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 6 6 5 5 6 7 8 8 9 15 26 29 21 15 13 12 11 9 8 7 6 5 4 5 5 4 4 5 5 6 7 9 12 13 13 10 8 6 5 4 3 1 2 3 1 3 8 10 4 1 3 8 9 6 4 10 12 10 4 2 8 10 8 2 -2 8 11 7 4 3 7 5 2 -1 0 8 10 4 2 4 5 6 5 7 11 8 3 6 10 12 9 5 7 6 6 7 5 2 1 3 6 6 5 9 21 25 14 6 4 4 3 3 3 3 3 4 4 3 3 4 4 4 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 6 8 12 16 17 15 13 9 6 4 4 3 0 -2 -2 -2 -2 0 0 -1 2 4 6 7 7 6 5 4 3 4 6 8 8 7 6 8 10 9 7 8 11 12 9 5 3 3 3 3 3 4 4 5 5 5 6 6 6 6 5 4 4 11 13 9 6 4 4 6 8 8 8 7 5 3 3 4 6 7 6 6 8 11 9 7 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 9 8 8 7 5 5 6 6 7 7 6 5 4 3 3 4 5 6 6 5 5 5 5 7 8 7 6 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan -0 1 2 2 2 2 2 2 2 2 2 1 1 3 5 6 7 6 5 4 2 1 1 2 1 1 3 3 3 3 3 3 3 3 3 2 1 2 2 2 2 3 3 3 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 7 7 6 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 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 5 5 5 5 4 4 4 4 4 5 7 6 5 5 5 6 7 8 9 11 26 38 27 12 8 9 9 8 7 7 6 5 5 4 5 5 5 4 4 5 6 7 8 11 12 11 9 7 5 4 2 1 1 3 3 2 8 11 14 7 1 2 7 5 5 6 10 12 8 3 5 9 11 10 6 2 5 6 4 4 5 8 7 3 1 0 9 12 7 4 5 6 7 9 12 11 7 2 3 8 12 9 7 11 12 10 11 5 2 2 4 7 8 3 5 19 28 18 6 3 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 5 5 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 4 5 5 5 5 5 7 11 15 16 18 18 15 11 9 8 6 6 7 5 3 4 4 4 4 6 6 6 7 8 6 4 5 5 8 12 13 11 9 8 8 7 6 7 8 8 6 3 3 4 4 3 3 4 4 5 5 5 6 6 6 6 6 5 4 7 9 8 6 5 5 6 7 7 8 8 6 4 3 4 6 6 7 6 6 8 9 7 7 7 7 7 8 7 7 8 8 8 9 8 8 8 8 9 10 9 8 6 5 6 6 7 7 8 7 6 5 4 4 5 6 6 5 4 4 4 5 6 6 7 7 6 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 2 2 1 2 2 2 2 2 1 2 2 1 1 1 2 3 5 5 6 5 3 2 1 1 1 1 1 2 1 2 3 3 3 3 2 2 1 2 2 3 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 6 6 7 6 6 6 5 4 4 4 4 4 4 5 4 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 5 4 4 5 4 4 4 4 5 5 5 5 4 4 4 4 4 6 7 6 5 5 5 6 7 9 10 17 34 35 12 2 5 7 6 5 5 6 5 5 4 4 4 5 5 5 5 5 6 7 8 10 11 11 8 6 4 2 -1 -1 1 2 3 6 8 10 12 10 5 3 4 4 3 3 6 8 5 2 2 3 6 9 9 5 4 5 7 9 6 7 9 6 2 0 6 8 4 3 4 4 5 11 13 10 5 3 5 6 6 4 5 12 15 11 12 7 3 2 3 7 9 6 4 14 29 23 8 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 5 5 4 4 5 4 5 5 5 5 4 4 4 5 5 5 5 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 3 2 2 3 4 4 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 9 13 16 18 16 15 16 16 16 17 14 9 7 8 6 6 8 11 10 8 12 11 9 10 9 9 13 14 10 7 5 5 5 6 6 6 5 3 3 4 5 4 4 4 4 4 5 5 5 7 6 6 6 7 6 5 5 5 5 6 6 5 5 5 6 7 8 8 6 4 4 5 6 7 7 7 7 7 7 7 7 6 7 7 6 7 7 8 8 9 9 8 7 7 7 9 10 9 7 6 6 7 7 8 8 8 7 6 6 6 6 6 6 5 4 3 3 3 4 4 5 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 4 3 2 3 2 2 2 3 3 2 1 1 1 1 1 2 3 5 6 4 3 3 2 1 1 1 0 0 1 2 2 3 3 3 2 2 2 3 4 5 5 5 5 4 5 5 5 6 6 6 5 5 5 6 6 7 7 7 6 6 5 4 4 3 2 2 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 6 8 7 6 5 5 6 8 10 14 22 29 18 -0 -2 5 6 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 7 9 9 9 8 5 3 -1 -1 0 3 2 5 7 6 5 5 8 8 5 6 6 4 -1 -1 3 4 5 3 0 0 6 10 8 6 7 10 11 8 8 11 11 10 4 1 0 -2 4 5 4 5 8 10 6 2 5 8 6 2 -0 3 9 14 14 13 10 4 0 -0 3 7 8 6 14 27 25 9 3 3 4 3 3 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 3 3 3 4 4 4 4 5 4 4 4 4 5 5 5 5 4 5 4 4 5 5 5 4 5 5 5 5 5 5 4 5 4 4 4 3 3 4 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 4 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 5 4 4 5 5 7 8 11 14 14 15 16 16 19 21 18 13 13 11 11 12 14 15 14 15 15 15 14 13 9 9 10 7 4 3 4 5 5 5 4 3 3 4 5 5 4 4 4 4 5 5 6 6 7 7 6 7 7 7 6 5 4 4 5 5 5 5 5 5 6 7 9 8 5 3 4 6 6 6 7 8 8 7 6 6 6 6 6 5 6 7 7 7 9 10 9 9 7 6 8 10 10 8 7 6 7 8 9 9 9 7 6 6 7 7 6 6 5 4 4 4 3 3 2 2 3 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 7 5 4 4 4 3 3 3 4 4 2 2 2 2 2 1 1 1 3 4 4 4 4 4 3 2 2 1 0 1 1 1 3 4 4 4 3 3 4 5 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 7 7 7 7 7 6 5 4 4 3 2 1 2 2 1 1 2 2 3 3 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 7 8 7 6 6 6 6 9 12 17 22 22 8 -1 1 4 3 3 2 2 3 4 5 4 4 5 5 6 7 7 7 7 7 7 8 8 8 7 4 0 -1 1 4 4 1 4 9 9 9 5 7 8 3 8 12 8 1 -2 1 4 8 7 2 0 4 7 9 12 10 8 8 7 8 11 13 15 9 3 1 -1 4 5 9 7 0 3 2 2 7 10 9 3 1 3 5 11 17 14 11 5 1 -1 -1 6 12 7 15 28 21 9 4 3 4 4 4 4 4 4 5 5 4 4 3 4 4 3 4 4 4 4 4 3 3 3 3 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 3 3 4 4 3 4 4 4 3 4 3 4 4 4 5 5 5 4 5 5 5 4 4 4 4 4 5 4 4 3 4 5 5 6 6 6 6 7 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 6 8 9 9 9 9 11 15 18 18 16 15 14 12 10 11 12 10 11 11 11 10 8 7 7 6 5 4 4 4 4 5 4 4 4 4 6 5 3 3 4 5 5 5 6 7 7 7 7 7 7 7 7 6 5 3 3 4 4 4 4 5 5 7 8 8 6 4 4 5 5 5 5 6 7 7 8 7 6 5 5 5 5 6 6 6 8 10 10 10 8 7 7 8 9 8 7 7 7 9 10 10 8 6 6 6 7 7 6 5 4 4 4 4 4 3 2 1 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 7 6 6 6 5 4 4 4 5 5 4 3 3 3 2 2 1 1 1 1 3 4 4 5 4 4 3 2 1 1 1 1 3 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 6 7 7 7 7 6 5 4 4 4 4 3 2 1 1 1 1 1 2 3 3 3 3 3 3 3 3 4 4 5 5 5 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 7 7 6 5 5 6 7 10 15 21 23 18 3 -1 4 0 -2 -0 -1 -1 1 3 5 5 5 5 6 7 8 8 8 7 7 6 7 8 7 5 1 -1 0 4 8 7 -1 1 10 10 12 7 9 6 0 9 14 8 6 2 -1 3 9 10 8 5 4 5 8 12 10 4 3 3 5 9 11 8 8 12 11 4 1 4 9 9 0 1 3 6 9 8 10 6 6 8 5 8 19 16 11 5 -0 -2 0 8 17 11 16 29 19 7 4 4 3 4 4 4 4 5 5 5 4 5 4 4 4 4 4 3 4 4 4 4 3 3 3 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 4 4 4 5 5 5 4 3 4 4 5 5 6 6 5 6 5 5 6 6 6 5 5 4 4 4 5 5 5 5 5 6 6 6 7 7 7 7 7 9 11 11 11 9 7 6 5 5 5 5 5 6 7 7 7 7 7 6 5 5 4 4 4 4 3 3 4 4 4 3 3 4 4 5 5 5 6 7 7 7 6 6 6 7 7 6 5 3 3 3 3 3 3 4 6 7 8 6 5 4 4 4 5 5 5 5 6 7 7 6 5 5 4 4 5 6 6 6 8 10 11 10 9 8 7 8 8 8 7 8 10 12 10 8 6 5 5 5 5 5 4 4 4 3 3 4 4 3 3 3 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 6 6 6 6 6 5 5 6 6 4 3 3 4 4 3 3 3 2 1 1 1 2 2 4 5 5 4 3 3 2 1 1 2 3 4 4 4 4 5 4 5 6 6 6 5 5 5 5 6 5 5 4 4 4 4 4 6 6 6 5 5 5 6 6 7 7 6 5 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 5 4 5 4 4 3 3 3 3 3 3 3 3 3 3 2 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 6 7 7 7 6 6 5 6 9 13 20 24 24 17 2 -1 2 -3 -3 -4 -5 -4 -0 3 5 6 6 6 6 7 9 9 9 9 7 6 7 7 6 3 0 0 3 6 8 6 2 5 10 5 3 5 8 3 0 8 12 7 6 6 3 6 7 9 10 8 7 8 10 9 7 2 -2 -2 2 6 8 3 3 13 15 4 -1 0 3 8 7 6 7 10 7 5 6 6 10 13 10 10 19 21 13 5 -3 -8 0 14 21 14 17 29 19 7 5 3 4 4 4 3 4 5 6 5 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 4 5 4 4 4 4 5 5 4 4 5 6 6 5 5 5 5 4 3 4 4 5 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 4 4 5 5 4 5 4 4 4 5 6 6 6 5 3 4 4 5 6 6 5 5 5 5 5 5 5 6 6 5 4 4 5 5 5 5 5 5 6 6 6 6 6 7 6 6 6 5 6 6 5 5 4 4 4 4 4 4 4 5 6 6 8 8 8 7 6 5 4 4 4 3 2 3 3 3 2 2 3 4 4 4 3 4 5 6 7 6 6 6 7 8 7 6 5 4 4 3 2 2 3 4 6 8 7 5 3 3 3 4 5 4 5 5 5 6 5 4 4 4 4 5 5 5 5 7 10 12 13 13 10 9 7 8 9 9 9 11 12 10 8 7 7 6 5 5 5 4 3 3 2 3 3 4 4 4 4 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 5 5 5 5 5 6 6 5 4 3 4 4 4 3 3 4 3 2 1 1 2 2 2 3 5 4 4 4 3 2 1 1 2 3 3 3 4 4 4 4 4 5 5 5 4 4 5 6 6 5 4 3 3 3 3 4 4 4 4 5 6 7 8 8 8 7 7 6 5 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 6 8 7 6 6 7 6 7 12 19 23 23 21 16 4 -1 1 -2 -4 -8 -8 -4 1 4 5 7 7 7 7 7 9 10 11 10 8 6 7 7 6 2 2 4 6 7 6 4 3 7 9 4 1 6 3 2 3 5 9 8 2 6 9 13 6 5 9 8 9 13 10 6 4 2 -1 -2 1 4 5 1 -1 7 9 3 -2 -5 -1 12 14 8 9 7 0 3 1 1 11 18 18 12 19 26 17 5 -7 -12 0 16 18 13 17 30 21 6 4 4 4 4 4 4 4 5 6 5 5 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 4 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 6 6 7 6 6 5 5 5 5 4 4 5 5 5 4 4 4 4 5 6 8 6 4 4 4 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 5 6 6 6 5 4 4 4 3 3 4 4 4 3 4 4 4 5 6 7 8 9 8 7 6 5 4 4 3 3 3 3 3 2 2 2 3 3 2 1 2 4 6 6 7 7 7 7 7 7 7 6 5 5 4 3 2 1 2 4 6 7 5 3 3 3 3 3 4 5 5 5 5 4 3 4 4 4 5 5 4 4 6 9 13 16 17 15 11 9 9 9 9 10 12 12 10 8 9 8 7 6 6 5 5 4 3 3 2 3 4 4 3 5 6 5 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 5 4 4 4 5 4 4 4 4 5 4 4 3 4 5 4 3 2 2 3 3 2 3 3 4 4 4 4 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 7 6 5 3 2 1 2 2 3 4 4 5 6 7 7 7 8 8 8 7 7 6 6 4 3 3 3 2 2 2 2 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 7 8 8 7 7 7 7 11 21 27 22 14 13 9 6 3 1 -4 -8 -10 -6 -0 4 6 7 7 8 8 7 8 10 12 13 11 8 7 7 7 5 4 4 5 5 5 6 7 6 0 0 4 7 6 2 3 8 4 4 6 2 6 11 12 5 5 8 8 10 13 9 3 2 3 5 5 4 3 3 1 3 4 1 -1 -2 -4 3 17 17 7 6 2 -5 2 3 3 8 13 14 13 24 32 19 4 -7 -11 1 12 10 9 19 32 23 6 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 4 4 3 3 3 3 4 3 3 3 4 4 4 4 4 5 5 6 7 7 7 6 5 5 5 4 4 4 4 4 5 5 4 4 3 4 5 7 8 6 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 6 6 7 6 6 5 6 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 7 9 9 8 7 6 5 4 4 5 5 4 3 3 2 2 2 2 2 1 -0 3 5 6 7 7 7 7 7 6 7 7 6 5 4 4 2 1 1 2 4 6 7 6 3 3 2 3 3 4 4 5 5 4 4 3 3 4 4 4 4 4 6 8 13 18 21 19 15 11 10 10 10 10 11 11 9 8 9 9 8 7 7 7 7 6 5 4 4 4 4 4 3 4 6 6 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 8 7 6 6 5 4 4 3 3 4 5 5 5 4 5 5 5 5 4 3 3 4 3 3 3 3 3 3 4 4 4 3 3 3 2 1 2 2 3 3 3 2 3 3 3 4 3 4 5 6 7 5 3 1 0 1 1 2 3 4 4 5 5 5 5 6 7 7 7 8 8 7 6 5 5 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 5 5 4 4 4 4 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 5 5 6 7 8 8 7 8 9 12 22 32 30 13 1 6 8 8 2 -4 -8 -10 -7 -0 5 7 7 7 8 8 8 8 9 11 14 14 11 8 7 7 8 7 6 6 5 4 3 4 8 11 7 4 6 7 2 -0 6 12 6 1 2 3 10 15 9 8 10 8 7 9 11 8 4 3 3 7 11 8 4 4 6 10 8 2 3 2 2 7 17 15 3 2 1 -3 4 6 4 4 9 10 14 28 32 19 5 -4 -6 4 10 7 6 15 33 25 6 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 3 3 4 4 4 4 5 4 4 4 3 4 5 7 6 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 5 4 5 5 6 6 5 6 6 7 7 6 6 5 4 4 4 4 4 3 3 4 3 4 4 4 3 3 3 3 4 5 6 7 8 8 8 7 6 5 5 5 5 6 5 4 4 3 2 2 4 5 -0 -1 4 5 6 7 7 7 7 7 7 7 6 6 5 5 4 2 1 1 2 4 6 7 5 2 2 2 2 3 3 4 4 4 4 4 3 4 4 4 5 5 5 7 12 18 24 23 17 12 10 9 10 10 9 9 9 8 9 8 7 6 7 8 9 9 8 8 8 7 6 5 3 3 5 6 5 3 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 7 7 6 5 5 4 3 3 4 4 5 6 6 6 6 6 5 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 3 2 2 2 2 2 2 2 3 3 3 4 4 4 3 4 6 7 6 4 2 1 -0 0 1 1 2 4 4 3 3 3 4 4 5 6 7 8 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 6 7 8 8 8 10 13 20 30 33 24 7 -5 2 9 -1 -8 -10 -9 -6 0 5 7 8 8 8 8 8 8 9 10 13 15 14 10 8 6 8 9 8 6 6 6 5 5 6 5 5 6 6 6 3 -2 0 10 15 12 7 3 5 12 16 8 8 11 9 5 7 8 8 7 5 2 6 10 6 3 5 9 12 8 7 11 8 4 6 12 8 -1 -2 -1 0 7 4 -0 2 9 8 15 30 31 17 4 -2 -1 7 11 8 5 12 28 25 8 4 5 4 4 4 5 6 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 6 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 5 5 4 4 4 4 3 3 4 3 4 4 3 3 3 3 3 3 4 5 6 7 8 8 8 7 6 6 6 6 7 7 5 5 4 2 2 6 8 3 -1 3 5 6 7 7 7 7 7 7 7 7 6 6 5 4 4 2 1 1 2 4 7 6 3 2 2 2 2 2 3 4 4 4 4 4 3 3 4 5 5 5 7 10 17 23 23 19 13 9 9 9 8 8 7 7 8 7 7 6 6 6 7 8 10 10 9 10 11 10 8 4 3 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 4 5 5 5 5 5 4 4 4 4 5 6 6 7 7 6 5 5 6 6 5 5 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 5 6 6 5 3 2 1 -0 -1 0 1 2 2 2 1 1 2 3 4 5 6 7 8 8 8 7 7 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 5 5 6 6 6 6 7 8 8 9 11 14 17 23 26 23 16 6 -2 -3 -4 -14 -11 -7 -3 2 6 8 8 8 7 7 8 9 9 10 12 15 15 13 10 6 3 4 5 4 5 6 7 7 7 10 11 5 1 -2 -1 -0 1 6 12 18 20 15 9 9 12 13 9 6 10 7 3 6 6 6 6 3 4 8 8 4 3 4 6 6 5 11 17 11 2 4 9 7 2 -0 -2 1 10 8 4 1 -1 -1 13 32 32 16 2 -2 3 10 12 10 8 14 24 19 8 5 5 5 4 5 6 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 2 3 3 4 5 5 6 7 7 8 7 6 6 7 8 8 8 6 5 3 1 3 8 8 3 1 3 5 6 7 8 8 8 8 7 7 7 7 6 6 7 5 3 2 2 1 2 6 7 4 3 2 1 1 1 2 3 4 5 5 4 3 3 3 5 5 5 7 9 14 19 21 18 13 9 9 9 9 7 6 6 6 6 6 7 6 6 7 8 8 8 8 9 11 14 13 9 5 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 3 3 4 5 5 5 4 5 5 5 6 6 7 7 6 6 6 6 6 6 5 4 5 5 5 6 6 6 6 5 5 4 4 4 4 3 3 3 3 4 3 4 5 5 5 4 4 4 5 5 4 4 3 1 -1 -0 0 1 1 1 1 1 1 2 3 4 5 5 6 7 7 7 7 6 7 7 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 5 6 6 6 8 9 8 10 12 15 18 17 15 12 10 9 7 1 -7 -11 -9 -3 2 5 7 9 8 7 6 6 7 8 10 11 12 13 14 14 12 8 4 1 1 3 3 7 5 5 8 6 9 10 4 2 -0 -2 -0 5 9 13 20 23 16 11 11 11 10 9 10 13 6 1 3 4 2 -0 -1 9 16 10 5 2 1 2 1 2 10 15 9 5 5 8 10 7 7 2 3 8 11 9 6 1 5 19 31 27 12 1 -1 6 11 11 9 9 16 24 17 6 5 5 4 4 5 6 5 5 4 4 5 5 5 5 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 4 5 5 4 5 5 4 5 4 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 4 5 5 4 4 3 4 5 6 6 5 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 6 6 6 5 5 6 6 6 6 6 6 5 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 8 9 8 6 4 2 2 5 8 6 2 2 4 5 6 7 7 8 7 8 8 7 7 7 7 7 9 7 3 3 3 3 2 3 5 5 4 3 2 1 1 1 2 3 4 5 5 4 3 3 4 5 6 6 8 11 14 18 17 13 10 9 10 10 8 6 5 5 5 6 7 6 6 6 7 7 6 6 7 9 13 14 13 9 7 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 2 2 2 2 2 3 3 3 4 4 5 5 5 4 4 4 5 6 6 7 7 7 7 7 6 5 5 5 5 5 6 6 6 7 7 6 5 5 4 4 4 3 3 4 4 3 4 5 6 6 5 4 4 4 4 5 5 5 3 2 0 -0 0 1 1 0 0 0 1 2 3 3 4 4 5 6 6 6 7 6 6 7 6 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 10 12 9 13 15 15 16 13 7 3 3 8 9 4 -2 -1 4 6 8 8 9 9 7 6 5 6 7 9 11 13 13 13 13 14 13 9 6 4 4 3 2 6 3 2 2 3 9 7 -0 -1 -2 -2 3 10 9 9 15 15 10 8 9 8 5 6 12 15 10 2 0 2 3 -2 -1 11 17 12 7 1 -2 3 4 5 8 7 6 9 8 8 10 9 10 8 5 0 11 15 15 14 14 21 24 15 5 -0 0 5 10 10 7 9 17 25 17 6 5 5 4 5 6 6 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 4 4 3 3 4 4 3 3 3 3 4 4 5 6 5 6 6 6 6 6 6 5 5 5 4 3 4 5 6 6 5 4 3 3 3 4 4 4 3 3 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 6 5 5 5 5 6 7 8 8 6 3 2 3 5 5 5 4 4 5 5 6 6 6 6 7 7 8 8 8 8 7 8 9 8 5 5 5 5 3 3 3 4 5 5 4 2 2 2 2 3 3 4 5 5 4 3 3 4 5 6 6 8 11 15 16 14 11 11 11 10 8 6 5 5 5 5 6 6 6 6 6 6 6 6 6 8 10 12 13 12 10 8 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 3 3 3 3 4 4 3 4 4 4 4 5 5 4 4 4 3 4 5 7 8 8 8 7 7 6 6 5 4 4 4 5 6 7 7 7 7 6 6 5 4 4 4 3 3 4 4 4 5 6 6 5 5 4 5 5 6 6 5 4 3 2 1 2 1 1 1 0 -0 1 2 3 3 3 3 4 5 5 6 6 6 6 6 6 7 7 6 7 7 6 6 6 5 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 6 5 5 5 5 5 4 4 4 5 6 6 7 11 14 12 14 12 9 11 11 8 5 9 13 10 6 5 8 9 9 9 8 8 8 6 6 5 6 6 9 12 14 13 14 15 17 15 11 7 5 4 3 3 3 3 1 0 4 8 9 10 6 -1 -1 5 10 6 5 7 5 3 3 4 6 5 5 9 14 14 5 0 2 6 5 9 10 11 10 6 1 1 6 6 5 6 6 5 6 7 9 7 5 8 11 8 -5 5 18 20 18 16 15 8 -0 2 2 0 4 9 9 7 9 19 23 14 6 5 6 5 5 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 3 3 4 4 3 4 4 4 3 3 4 5 5 6 6 6 6 6 5 5 6 6 5 5 5 4 4 3 3 3 3 3 3 4 4 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 5 6 5 4 3 3 3 4 4 4 4 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 3 3 4 5 5 5 4 4 5 6 8 8 7 5 4 4 5 5 5 6 7 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 7 7 6 6 4 3 3 4 6 5 4 3 3 3 3 4 4 5 5 4 3 3 3 4 5 6 8 9 11 13 15 15 14 13 11 8 6 5 5 5 4 5 5 5 5 6 6 7 7 7 8 8 9 11 13 13 12 9 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 2 3 5 6 8 8 8 7 6 6 6 5 4 3 4 4 5 6 7 8 8 7 6 5 4 4 4 4 4 4 4 4 5 6 6 6 5 5 6 6 6 6 5 5 4 4 4 3 2 2 1 0 0 1 2 2 3 3 3 3 4 4 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 6 5 6 6 5 5 6 5 5 5 5 4 4 5 5 6 6 8 13 18 15 11 8 7 10 12 12 14 17 11 4 4 8 9 8 9 8 8 6 6 6 6 6 5 7 10 13 14 15 18 19 17 14 9 6 4 2 2 4 5 4 3 3 5 4 6 10 12 8 6 11 7 1 3 4 1 0 1 2 7 9 3 3 9 14 8 3 4 7 11 14 12 10 8 4 -0 3 8 7 1 -1 7 7 5 9 9 2 1 7 11 11 -4 -5 6 22 23 13 4 -7 -8 1 4 3 7 10 10 8 8 16 24 16 6 5 6 5 5 6 5 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 5 6 6 6 6 6 6 6 5 5 4 4 4 3 2 3 3 3 3 4 4 4 3 4 4 5 5 5 4 4 4 4 5 6 6 7 6 5 4 3 4 5 5 4 3 3 3 3 4 4 5 4 4 3 3 4 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 5 4 5 5 5 5 5 5 5 4 4 4 3 3 4 4 3 3 4 3 2 1 2 4 4 5 5 5 5 5 7 8 8 8 6 4 5 6 8 9 8 6 5 4 4 4 4 4 4 5 6 6 6 6 7 8 8 8 8 8 8 7 6 4 3 3 4 4 5 6 6 5 4 4 4 4 5 4 4 3 3 3 4 6 7 9 9 11 15 17 16 13 10 8 7 6 6 5 4 4 3 3 4 5 6 7 8 8 8 8 9 9 10 12 15 15 11 7 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 4 4 4 4 5 5 5 5 5 6 5 5 4 3 2 2 4 6 7 7 7 7 6 6 6 5 4 3 3 3 4 5 7 8 8 7 6 5 4 4 4 4 4 4 4 5 6 7 7 6 6 6 5 4 4 5 5 5 6 6 5 4 3 2 1 1 1 1 2 2 2 2 2 3 3 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 5 5 5 7 10 13 18 18 13 8 7 9 12 13 11 16 11 -1 -4 3 7 7 6 6 5 5 5 5 6 7 7 6 8 12 13 15 18 22 19 14 10 7 7 6 3 2 4 7 6 5 6 5 5 2 4 9 8 8 18 8 -0 3 3 2 5 4 3 8 10 1 -2 6 11 10 9 9 7 7 8 11 13 8 1 -2 4 8 6 1 2 10 11 11 14 7 -0 4 8 9 8 2 -4 3 26 22 8 -6 -13 -4 5 6 9 11 9 9 9 7 11 24 22 8 5 6 6 6 6 5 4 4 4 4 4 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 6 6 5 5 5 4 3 2 2 3 3 3 4 4 5 4 4 4 4 5 5 4 4 4 3 3 3 3 4 5 5 5 4 4 4 3 4 4 3 3 3 3 3 4 4 5 5 5 4 3 4 5 6 6 7 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 2 2 1 0 2 3 5 7 7 6 6 5 5 7 9 12 11 7 5 7 10 11 8 6 5 4 3 2 2 2 3 4 4 5 5 5 6 7 7 8 8 9 8 8 8 7 5 4 3 3 5 7 7 6 6 5 5 4 4 5 4 4 2 2 3 5 7 8 9 12 14 16 15 12 9 8 7 7 7 6 4 4 3 3 3 4 4 6 7 7 8 9 8 8 8 9 12 15 15 12 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 4 4 4 5 4 5 6 6 6 6 6 4 3 2 2 3 4 5 6 6 7 7 7 6 5 4 3 2 2 3 5 6 7 7 6 5 4 4 4 4 4 4 4 5 6 7 8 8 8 6 5 3 3 4 5 5 6 7 7 6 5 4 3 2 1 2 2 2 2 2 1 2 3 2 2 3 3 3 3 3 3 3 3 3 3 2 1 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 5 5 5 10 15 17 17 13 9 7 7 11 13 8 6 10 0 -10 -4 5 6 4 3 3 3 3 4 6 7 8 8 9 10 12 13 14 20 23 16 9 8 7 8 7 5 4 5 7 7 9 8 6 5 -0 0 5 7 7 13 4 1 3 3 6 12 10 6 10 10 1 -3 2 8 13 12 9 7 6 5 6 9 5 1 1 8 9 4 1 5 8 9 14 14 4 3 7 6 7 8 14 8 15 29 19 -0 -17 -14 7 16 18 21 17 11 8 7 6 10 23 24 10 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 3 3 2 2 3 3 4 5 6 5 4 4 4 5 5 4 3 3 2 3 3 2 3 3 3 3 4 4 3 3 4 4 4 4 4 3 3 4 4 4 5 5 5 4 4 4 5 6 7 7 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 6 5 5 5 5 4 4 4 4 3 2 2 2 1 0 0 2 3 6 8 9 8 7 4 4 5 9 14 17 12 7 9 11 10 8 6 5 3 2 1 1 1 1 2 3 3 4 4 4 4 5 6 7 7 8 9 9 8 7 5 4 3 4 6 7 6 6 6 6 5 4 4 4 4 3 2 3 3 5 8 10 10 12 12 12 10 7 6 6 6 6 6 6 5 4 4 4 3 4 4 5 6 7 7 8 8 8 8 9 10 12 13 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 4 3 3 3 4 4 4 5 6 6 6 6 6 5 4 2 2 3 3 5 5 6 6 7 7 7 6 5 3 3 2 3 4 5 6 6 5 5 5 6 5 5 4 4 5 6 8 9 10 9 7 5 4 4 4 4 5 5 7 7 6 5 5 5 4 3 3 2 2 1 1 1 2 3 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 4 4 4 5 5 5 4 5 5 5 5 5 6 6 6 5 5 5 5 4 5 5 6 5 9 16 17 12 8 8 8 8 9 9 4 4 4 -2 -7 1 4 3 2 2 2 2 3 4 6 8 9 10 10 11 11 12 15 21 21 12 6 7 7 6 5 4 4 5 5 5 7 8 6 4 -1 -0 -1 -1 15 11 -3 2 3 4 11 19 14 6 7 6 2 1 1 5 11 11 8 7 6 6 4 4 -1 3 7 9 11 5 3 2 -1 4 13 9 3 7 10 7 1 8 20 13 22 27 17 -6 -22 -11 13 26 32 31 22 14 10 7 5 10 21 25 12 4 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 2 3 3 4 5 6 7 6 5 4 4 5 5 4 3 2 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 6 7 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 4 3 3 4 3 2 1 1 1 1 1 3 4 7 8 9 9 7 5 4 4 7 14 20 14 9 12 12 9 7 6 5 3 3 2 2 1 1 1 1 2 3 3 3 4 4 4 5 6 7 8 10 9 8 7 5 3 4 4 4 5 5 5 6 5 5 4 5 5 4 3 2 3 4 6 8 9 10 10 9 8 6 5 5 4 5 6 7 7 7 6 5 4 4 4 5 6 6 6 6 7 8 8 8 9 9 11 12 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 3 3 3 3 4 4 4 5 6 7 8 7 7 5 3 3 3 3 4 4 5 6 6 7 8 8 7 6 4 3 3 2 3 4 4 6 6 7 7 7 6 4 4 5 6 8 10 11 10 7 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 3 2 1 1 1 2 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 5 5 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 5 6 14 16 10 8 10 10 9 7 5 4 5 4 1 -0 3 2 1 1 1 2 2 2 4 7 8 9 11 12 10 10 12 18 22 18 8 6 6 5 4 5 1 6 9 7 6 6 8 7 5 3 3 -6 -7 14 8 -3 4 6 4 14 24 15 5 1 -0 6 10 5 3 4 4 6 9 6 4 8 7 0 3 8 9 10 3 -0 -4 -4 4 8 2 3 9 10 7 1 7 15 11 22 26 14 -7 -16 -2 15 25 29 28 19 12 10 7 5 8 19 27 15 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 6 7 7 6 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 4 5 6 6 5 5 5 5 5 5 5 6 7 6 6 6 6 6 6 5 6 5 4 3 4 5 5 6 6 6 7 7 7 8 8 7 6 4 1 1 2 2 1 1 -0 0 1 3 4 6 7 8 9 9 7 5 4 4 4 10 16 13 10 11 11 9 7 6 5 4 3 3 3 3 2 1 1 1 2 2 2 3 3 3 4 4 5 7 9 9 9 8 6 5 4 3 4 5 4 4 4 5 5 5 6 6 5 3 2 3 3 4 5 7 9 9 8 6 6 6 5 5 5 6 7 9 10 9 7 5 5 4 5 6 6 6 6 6 7 8 8 10 10 9 11 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 5 6 7 8 8 7 6 5 4 4 3 3 4 4 5 5 6 8 10 10 9 6 5 4 3 3 3 3 5 6 7 7 7 5 4 4 5 6 8 9 10 8 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 3 1 0 1 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 3 10 16 14 11 10 10 8 6 5 4 6 6 3 2 1 -0 -1 1 2 2 2 2 5 8 8 11 13 12 11 12 18 22 21 14 7 8 7 4 7 6 1 6 8 9 9 9 10 8 6 7 8 6 7 6 -2 -3 4 8 4 10 17 9 4 0 3 12 12 5 3 1 0 7 14 10 6 11 9 5 1 7 8 5 1 -2 0 3 3 -5 -6 3 11 9 1 -0 6 7 10 22 26 13 -3 -5 6 15 17 18 18 13 10 8 6 4 8 21 29 16 4 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 6 7 6 6 5 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 5 5 6 6 6 5 5 5 5 5 6 6 7 7 6 6 6 7 6 6 5 5 4 4 5 6 6 6 6 7 8 9 9 10 9 9 7 5 2 1 1 1 1 0 -0 0 2 5 7 7 7 8 8 8 6 5 5 5 4 5 9 9 7 8 9 8 7 6 5 5 5 5 5 6 6 4 2 1 1 1 2 2 3 3 3 3 4 5 7 9 10 9 8 6 4 4 4 4 4 3 3 4 5 5 6 6 5 4 3 3 3 4 4 6 9 8 7 7 7 7 6 6 6 6 7 9 11 12 11 9 6 5 5 5 5 5 6 6 6 7 8 10 11 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 3 3 3 3 3 4 4 3 3 3 5 6 7 8 7 7 6 5 4 3 3 4 4 4 5 6 8 10 11 10 8 6 5 5 5 4 4 3 5 7 7 6 5 5 5 5 6 7 8 8 7 4 3 3 3 4 4 4 5 4 4 4 4 4 4 5 5 6 6 5 3 1 0 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 4 4 6 17 20 12 10 10 8 5 1 0 5 6 3 2 -0 -1 -1 1 2 2 2 3 6 8 9 13 14 14 15 19 22 20 15 10 6 7 6 4 7 7 12 5 5 6 8 8 7 5 6 8 7 8 11 11 8 4 4 6 3 4 2 2 5 8 12 13 11 10 7 1 -0 7 16 15 10 9 5 4 5 9 8 4 -2 -8 4 18 10 -8 -7 4 7 0 -3 3 7 4 9 20 23 13 4 5 11 16 15 13 10 9 8 7 5 3 11 23 22 10 6 7 6 6 6 5 5 5 5 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 3 3 3 2 2 2 3 4 3 3 3 3 3 2 2 2 3 4 4 5 4 3 3 4 5 6 6 6 5 5 5 4 4 3 3 5 5 5 5 5 6 6 6 6 6 6 6 6 6 4 4 5 5 5 5 5 6 6 5 5 5 6 6 6 6 6 6 7 6 6 7 7 6 6 5 5 6 7 7 8 8 8 8 9 11 12 13 13 12 10 7 6 5 4 3 2 2 1 0 1 3 6 8 7 6 7 7 6 6 5 5 6 6 5 6 7 5 6 7 6 6 6 6 7 7 7 8 10 10 8 5 2 1 1 2 2 2 2 2 2 3 4 5 8 9 10 9 7 5 5 4 4 3 3 3 3 4 5 6 7 7 5 3 2 2 3 4 6 7 7 7 8 8 8 6 6 6 6 7 9 11 13 14 13 10 6 5 4 5 5 5 6 6 7 7 9 10 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 5 4 4 5 5 5 5 4 3 3 4 5 6 7 7 7 6 5 4 3 2 3 3 4 5 5 6 8 10 9 7 6 6 6 6 5 4 4 5 6 7 6 5 5 6 6 6 6 7 6 6 4 3 3 4 5 5 5 5 4 4 3 4 4 4 4 4 5 7 7 5 3 1 1 2 3 4 3 3 3 3 3 2 3 3 3 3 3 4 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 5 6 7 7 7 5 4 4 8 21 23 13 10 10 8 4 -3 -4 0 2 1 1 -0 -1 0 2 2 2 2 4 7 8 12 16 14 16 19 21 19 13 9 8 7 6 4 1 -1 8 17 8 0 3 8 8 4 2 4 4 1 2 3 9 14 13 10 7 2 -0 -2 3 10 18 17 10 7 9 4 -1 0 7 14 12 7 4 0 0 8 11 8 2 -7 -11 6 25 16 -0 -2 3 -3 -8 0 7 5 5 11 19 17 10 8 10 14 17 15 11 7 8 9 7 4 3 9 16 13 8 12 15 9 6 6 6 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 3 3 4 5 5 6 6 6 6 6 5 4 4 5 5 5 6 6 6 6 6 6 6 6 7 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 6 6 6 7 6 6 6 7 7 6 6 6 7 8 10 10 11 11 12 12 13 15 16 17 16 13 10 7 6 6 5 4 4 4 2 0 1 4 7 8 6 5 6 6 6 7 7 7 7 8 8 7 8 7 6 6 5 5 5 6 7 8 9 10 12 14 12 9 5 3 2 1 2 2 3 3 3 2 3 4 6 8 9 9 9 7 6 5 4 3 3 3 2 4 5 6 7 7 6 4 2 2 3 4 5 5 6 8 8 7 6 5 5 6 6 6 8 10 12 15 14 12 9 6 4 4 5 5 5 6 7 7 8 9 9 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 11 12 10 9 8 8 8 8 9 10 9 7 4 3 4 4 5 6 6 5 4 4 3 2 2 3 5 5 5 6 7 8 8 6 4 4 5 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 4 4 4 5 6 7 7 6 5 4 4 4 5 4 4 4 4 6 7 6 4 2 1 2 2 3 3 3 3 3 2 2 2 2 3 4 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 7 7 6 5 4 4 10 23 22 13 10 8 7 5 0 -1 -1 1 1 1 1 0 1 2 2 2 4 5 7 11 17 14 11 16 18 18 14 9 7 7 6 5 2 -5 -5 6 9 6 1 3 7 8 2 3 6 4 7 7 -1 1 9 10 12 9 3 -0 1 6 14 17 10 5 6 3 -1 -1 3 8 9 6 3 2 -1 -1 5 7 4 2 -4 -1 14 21 11 3 -1 -2 -6 -6 1 3 1 7 15 17 12 7 8 11 14 15 13 9 6 8 10 7 3 2 5 9 9 10 16 23 16 6 7 6 6 6 5 4 4 4 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 4 4 4 3 3 4 3 3 3 3 4 3 3 3 4 3 3 3 3 3 3 4 3 3 4 4 3 3 4 5 5 5 6 7 7 7 6 5 5 5 6 5 5 6 6 5 5 5 6 5 6 6 5 5 5 5 6 5 5 6 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 10 11 13 14 14 14 14 15 16 18 19 18 16 13 9 7 5 5 5 5 5 5 3 -0 0 4 8 8 5 5 5 6 7 7 8 8 8 9 9 9 9 8 7 5 5 5 5 6 8 9 8 11 14 17 15 11 7 4 3 3 3 3 4 4 4 3 2 3 4 5 8 9 9 9 8 6 4 4 3 2 2 4 5 6 7 8 7 5 3 3 3 3 4 5 5 7 7 6 4 4 4 5 5 6 7 8 10 12 15 14 12 9 6 5 5 5 6 7 6 6 7 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 9 11 11 10 9 9 10 10 11 13 13 10 8 6 4 3 4 4 4 5 4 3 3 2 2 4 6 6 5 5 6 7 7 5 3 3 4 5 6 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 4 4 4 6 7 8 8 7 6 5 4 5 6 6 5 4 4 4 5 6 5 3 2 3 3 3 3 3 3 3 2 2 2 3 4 5 5 4 4 3 3 3 2 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 5 6 7 8 8 6 5 4 6 13 24 22 14 9 7 6 7 9 11 6 2 2 2 2 2 1 1 2 3 4 6 10 18 20 11 10 14 14 18 16 9 8 7 3 0 -3 -4 4 7 1 3 8 6 7 6 1 4 5 9 21 13 -0 4 9 6 7 7 4 3 5 10 14 7 -1 0 7 4 2 4 7 8 6 3 1 3 1 3 8 6 4 2 -0 4 13 11 5 3 -1 -7 -4 1 3 4 6 11 15 13 8 6 6 11 15 14 12 7 5 8 10 7 1 1 4 7 9 11 16 27 21 8 6 6 6 6 5 4 5 5 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 6 6 6 6 6 6 5 5 6 6 5 5 6 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 7 7 6 6 7 7 8 9 10 11 13 14 16 16 16 16 16 17 18 18 17 16 13 9 5 4 5 6 6 5 6 6 5 1 0 4 9 7 5 6 6 7 7 8 8 7 7 7 7 8 9 8 7 5 4 4 5 7 9 8 8 10 14 16 15 11 9 7 6 6 6 6 6 5 5 4 3 3 3 4 6 8 10 10 9 8 6 4 3 3 3 4 4 5 6 7 7 6 5 3 3 3 3 4 5 6 6 6 5 4 4 4 5 5 6 7 8 9 12 14 13 12 9 7 5 5 5 6 6 6 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 7 7 7 7 8 8 9 11 11 12 11 9 7 5 4 4 4 3 3 3 2 2 2 5 7 7 5 5 6 7 7 6 4 3 3 4 4 5 6 7 7 6 6 6 5 5 5 6 5 5 5 4 4 5 5 6 7 8 8 8 7 6 5 6 6 6 6 5 4 4 5 6 5 5 5 4 3 3 3 4 4 3 2 2 2 3 6 7 5 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 5 5 6 8 8 7 5 4 6 8 17 27 24 13 7 6 7 8 12 11 5 2 1 2 3 2 1 1 2 3 5 8 16 21 17 10 10 10 13 20 17 11 9 7 4 0 -4 3 14 11 1 6 11 9 5 3 1 2 4 14 26 12 6 15 13 5 4 3 4 7 7 10 9 1 -2 0 4 5 7 8 9 9 7 5 4 2 1 5 9 7 2 -0 2 6 6 6 4 5 4 -3 -1 6 9 8 8 10 11 8 6 8 7 10 14 15 12 7 5 8 8 4 0 2 4 7 9 10 16 26 23 10 6 7 6 6 5 5 5 4 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 5 4 4 5 5 4 4 3 4 4 5 5 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 5 6 6 5 6 6 6 6 7 7 7 7 7 8 10 11 13 14 15 16 16 17 16 16 15 15 16 16 14 11 6 2 1 2 5 6 6 6 6 6 5 4 1 3 6 5 6 6 6 7 7 8 7 6 5 5 4 4 5 5 5 5 5 6 7 7 7 7 7 8 11 13 13 11 9 8 8 9 9 10 10 9 7 4 4 3 3 3 5 7 8 9 10 9 8 6 5 4 4 4 4 5 5 5 5 5 5 4 3 3 4 4 4 4 5 6 7 5 4 4 5 5 5 6 7 8 8 10 11 11 11 9 7 5 5 6 6 6 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 1 1 2 3 3 4 4 4 5 6 7 9 10 10 10 8 7 6 6 5 4 4 4 3 3 5 7 7 6 5 5 5 7 7 5 4 3 3 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 6 7 7 7 7 7 6 6 6 7 7 6 6 5 5 6 6 6 7 6 5 4 3 4 4 4 4 3 2 2 4 7 7 6 5 4 4 3 3 2 2 2 2 2 2 2 3 3 2 3 3 4 4 4 5 6 7 8 8 6 5 6 9 14 25 30 22 9 3 5 9 6 4 -1 -2 0 1 2 2 2 1 1 2 4 5 10 18 19 11 8 7 7 12 17 16 13 9 6 7 5 1 5 10 10 4 4 7 7 3 -0 0 2 7 14 15 7 12 18 10 4 2 2 6 8 6 7 4 0 3 4 4 5 7 8 9 10 9 9 8 4 -1 1 5 5 1 -0 6 9 4 6 6 6 5 3 6 10 9 8 7 6 4 4 8 9 8 10 14 16 14 8 7 8 6 2 1 3 5 6 8 9 16 26 25 12 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 6 5 5 5 5 5 4 2 2 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 5 6 6 6 7 7 7 7 8 10 11 13 14 15 16 16 15 15 14 14 13 13 12 12 11 9 4 2 3 4 6 6 7 7 7 7 7 5 1 4 6 5 5 5 6 6 7 7 6 6 5 4 3 2 3 3 4 6 6 7 10 8 6 6 6 6 8 10 11 10 10 9 9 9 11 14 15 14 11 7 5 4 2 2 4 5 6 8 9 9 9 7 6 5 4 4 5 5 4 3 3 4 5 5 5 4 4 4 4 3 4 5 6 6 5 5 5 5 5 5 7 7 7 7 8 10 11 11 9 6 4 5 7 6 5 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 0 0 1 2 2 2 2 2 2 3 4 5 7 7 8 9 9 8 8 8 6 7 7 7 5 6 8 8 7 5 4 4 5 6 7 6 5 4 4 5 5 6 6 5 4 4 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 7 7 6 7 6 7 6 6 7 7 7 7 7 7 7 6 5 4 4 4 5 4 4 3 3 3 4 6 6 6 5 4 4 3 2 2 2 1 2 2 2 2 2 3 2 3 3 4 4 5 5 6 8 9 7 5 6 10 16 27 37 32 16 5 0 1 6 1 -5 -5 -2 0 1 1 2 2 2 2 3 5 7 11 16 16 11 8 6 6 8 10 11 11 7 4 9 8 5 5 7 11 7 2 3 2 -0 -2 0 3 7 11 5 4 8 5 2 2 2 3 7 8 6 5 3 2 4 6 4 5 7 7 8 8 9 9 9 6 -1 -3 1 4 3 7 10 5 0 6 10 8 5 5 9 10 10 9 7 3 3 10 12 8 8 9 12 15 14 10 8 9 5 2 3 5 6 6 6 8 18 28 25 11 5 6 6 6 6 6 5 4 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 5 5 6 5 5 5 5 6 6 6 6 6 7 7 7 8 9 11 13 14 14 14 14 14 13 13 12 11 11 10 9 9 9 10 9 8 7 7 7 7 6 7 8 8 9 8 5 6 6 5 5 5 5 6 7 7 6 6 6 5 4 3 3 4 4 5 5 6 8 9 7 6 6 6 7 8 9 9 9 9 8 8 11 15 18 19 16 12 8 5 3 2 2 3 4 5 7 7 8 7 7 6 5 5 5 6 5 4 3 3 4 5 6 5 4 4 4 3 3 4 4 5 6 5 4 4 5 5 6 6 6 7 8 9 11 11 12 9 5 4 5 5 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 1 2 2 2 2 1 2 2 3 4 4 4 6 7 8 9 10 9 9 9 10 12 12 11 11 10 7 5 4 4 4 5 8 11 11 8 5 5 5 6 5 5 3 3 4 4 5 5 4 4 4 4 5 5 5 5 6 5 6 6 7 7 6 6 5 5 6 7 7 7 8 8 7 6 6 5 5 5 5 5 4 4 3 3 3 4 4 5 4 4 4 4 3 2 2 2 1 1 1 1 2 2 3 3 3 4 4 4 5 6 7 9 8 6 5 11 20 29 39 40 26 11 3 -3 -6 -4 -7 -9 -5 -1 0 1 2 2 3 3 4 5 7 8 9 12 15 15 13 11 9 8 6 6 8 7 5 8 8 8 7 12 13 15 14 10 2 -1 -1 4 9 9 8 6 7 5 -2 -2 1 4 5 6 7 6 6 5 5 6 6 5 6 6 5 6 7 8 8 13 13 4 -3 -3 2 8 15 13 2 3 8 12 13 10 6 8 10 6 9 8 3 10 22 18 9 9 9 10 13 13 10 10 10 7 5 4 5 7 6 5 11 24 28 19 7 4 5 7 7 7 6 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 5 4 4 5 5 5 4 5 5 6 6 4 3 3 4 4 5 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 8 9 10 12 13 14 13 12 12 11 11 11 11 10 9 8 7 8 9 11 11 9 9 8 7 7 7 7 8 9 11 11 9 7 4 5 5 5 6 6 6 7 6 6 6 6 6 6 5 4 4 4 4 4 5 6 5 6 7 7 7 7 7 8 7 7 6 6 8 12 17 20 19 16 12 8 5 4 3 2 3 4 5 6 6 7 7 6 6 5 5 5 6 5 5 4 5 5 6 6 5 4 4 3 3 3 4 5 6 6 5 4 4 5 6 6 7 7 8 9 10 11 12 10 7 4 3 3 3 3 3 3 3 3 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 2 1 1 1 1 2 3 3 3 4 5 7 8 8 9 8 8 10 16 20 19 15 11 8 6 5 4 4 4 9 17 20 14 8 6 6 6 5 4 3 3 3 4 4 4 4 3 3 4 4 4 5 5 6 5 5 6 6 6 6 5 5 4 4 5 6 6 7 7 7 6 6 5 5 4 5 4 4 4 3 3 3 3 3 4 4 4 4 3 3 2 2 2 1 1 1 1 2 3 3 4 4 4 4 5 6 7 9 9 6 5 10 21 30 34 32 28 19 9 4 -3 -5 -8 -12 -9 -4 -0 1 1 2 3 3 4 6 8 9 8 8 9 16 20 19 15 15 11 5 4 8 8 7 7 9 10 8 10 11 15 13 15 10 2 0 7 13 9 3 12 16 13 4 0 1 3 5 6 6 6 9 9 8 8 8 6 5 6 3 6 12 11 5 14 16 9 1 -1 3 9 13 4 0 9 10 5 9 13 8 5 7 7 12 6 4 17 27 20 11 10 10 10 11 12 11 11 10 9 7 6 6 6 6 6 15 28 24 11 4 4 5 6 7 7 7 6 5 5 6 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 5 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 6 5 6 6 6 6 6 6 7 7 7 8 9 11 12 13 13 12 11 10 9 9 10 10 10 9 7 5 6 7 9 9 8 9 8 8 8 9 8 9 10 11 11 7 4 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 5 4 4 4 4 6 9 2 1 6 8 7 7 6 5 6 5 5 5 6 8 13 17 17 16 14 11 8 6 4 3 2 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 3 3 4 4 5 6 5 4 3 4 5 6 6 7 8 9 10 11 11 9 7 4 2 2 3 4 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 3 2 2 2 2 2 1 0 1 1 2 3 4 5 7 8 9 9 8 7 8 14 20 20 15 9 6 5 5 5 4 4 8 18 23 17 9 7 7 7 6 5 4 3 4 4 4 4 3 3 3 3 4 4 4 5 6 6 6 6 6 5 5 5 4 3 3 3 4 5 5 5 6 6 6 5 5 4 4 4 4 3 3 3 3 3 2 3 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 5 7 8 9 8 6 9 18 27 31 28 17 10 8 9 10 5 -0 -9 -12 -7 -1 2 2 2 2 3 4 6 8 11 10 8 8 11 18 22 17 12 14 14 9 5 6 6 6 5 9 10 7 5 7 6 5 13 12 2 -1 6 10 4 4 16 19 13 11 3 -1 -0 4 6 4 7 13 15 13 12 11 6 3 5 1 4 15 10 3 8 12 11 8 5 7 10 11 4 3 8 4 0 6 11 10 6 3 13 12 7 11 21 23 16 11 10 11 10 10 11 11 11 9 7 5 5 6 6 6 9 19 27 19 7 4 4 5 7 7 7 6 6 6 5 6 5 5 5 5 4 5 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 6 6 5 5 6 6 5 4 4 4 4 4 3 3 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 6 6 6 6 7 7 7 8 8 7 7 6 6 6 6 5 5 6 5 5 6 6 6 6 6 6 6 6 7 7 8 9 10 11 12 12 11 10 9 8 8 8 8 8 8 8 8 6 3 1 4 7 7 6 7 7 7 8 8 9 10 11 11 5 -2 2 6 6 5 5 6 6 6 7 4 2 3 4 4 5 5 5 4 4 4 6 10 3 -2 4 6 7 7 5 4 5 5 5 5 6 7 10 14 15 15 15 13 11 8 6 5 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 3 3 4 6 7 8 9 10 11 10 8 5 4 3 2 3 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 5 5 4 4 4 3 2 1 1 1 2 3 4 6 7 9 10 9 8 7 7 9 13 14 10 6 5 4 4 4 4 4 7 15 20 14 7 5 7 8 7 6 5 4 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 3 3 2 3 3 4 4 5 5 5 5 4 4 4 3 3 4 3 3 2 2 2 2 2 2 1 1 1 1 2 2 2 3 3 3 3 3 3 4 4 4 5 6 8 10 10 8 10 14 18 20 26 26 14 2 3 14 16 10 -1 -14 -12 -4 2 3 2 2 3 4 5 8 10 11 11 10 11 16 21 19 11 7 10 15 14 8 4 3 3 4 6 8 8 8 8 1 2 6 6 -1 0 6 8 3 5 7 6 5 12 5 -2 -1 6 7 3 6 14 18 18 16 13 7 2 4 0 0 8 3 5 4 8 9 9 12 12 10 9 9 11 9 -1 2 9 12 11 9 5 10 7 9 17 20 16 12 10 10 10 10 10 11 10 7 5 3 2 4 7 8 7 12 22 25 15 6 4 4 5 7 7 7 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 6 6 6 6 8 9 10 11 11 11 10 10 9 8 8 7 7 6 6 7 8 8 4 0 2 6 6 5 5 4 5 6 7 7 8 10 11 6 -2 -2 4 6 5 5 5 6 6 8 8 4 3 2 2 3 2 3 4 5 6 6 6 4 1 3 4 6 7 6 4 3 4 5 5 6 6 7 10 14 15 15 15 13 11 9 8 7 5 4 3 3 3 3 4 4 5 5 5 5 5 4 4 5 5 4 5 5 4 5 5 5 4 4 4 4 4 4 5 5 3 3 3 4 6 8 10 10 10 9 7 4 3 2 2 2 3 3 2 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 7 6 6 5 3 3 2 1 2 4 5 6 7 9 10 10 9 8 6 5 7 8 6 4 3 3 3 4 4 4 7 12 16 11 5 4 6 8 8 7 6 5 5 5 4 3 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 4 4 3 2 2 2 3 3 3 3 4 4 4 4 4 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 2 3 2 3 4 5 4 4 4 4 4 5 6 8 11 14 14 11 11 14 13 9 11 22 28 20 9 9 15 11 -1 -11 -17 -10 -0 3 2 2 2 4 5 6 8 9 12 16 17 15 18 18 14 13 10 9 13 15 12 7 3 3 5 8 7 1 1 2 -1 2 3 1 -2 2 8 8 3 1 1 5 12 11 6 -2 -2 4 7 4 5 10 14 17 19 17 10 4 5 3 3 4 -1 4 0 2 4 6 13 12 9 7 8 13 10 1 3 9 13 12 8 9 4 4 13 17 15 11 9 9 10 10 10 9 8 8 4 2 1 1 4 8 9 8 12 22 24 12 4 4 5 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 5 6 7 7 7 6 5 4 4 3 3 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 7 7 7 7 6 6 7 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 7 8 9 10 11 11 10 10 9 8 8 8 8 7 5 4 4 5 7 10 7 4 5 4 4 4 4 4 5 8 8 7 8 9 7 1 -0 4 6 6 6 6 6 5 7 9 9 7 6 5 4 3 2 3 5 7 8 5 4 4 4 4 5 5 6 5 4 3 3 4 4 5 5 6 10 15 16 14 14 13 12 9 7 6 6 6 5 4 3 3 3 4 4 5 5 4 4 4 5 4 4 4 4 4 5 5 4 4 5 4 3 4 4 4 5 5 4 3 4 4 6 8 9 10 10 8 6 4 3 3 3 3 2 1 2 3 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 10 11 11 11 10 8 7 5 4 3 2 3 4 5 5 6 7 8 9 9 8 7 6 5 5 5 4 3 3 3 4 5 5 6 11 16 13 7 3 5 8 9 8 6 5 5 5 5 4 4 5 5 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 5 4 5 4 3 3 2 3 3 3 3 3 3 3 4 5 5 5 5 4 4 5 8 14 20 22 19 13 10 13 10 3 7 17 21 18 16 10 3 -9 -16 -17 -12 -4 1 2 2 2 3 5 6 7 8 9 15 23 21 15 13 13 13 16 12 9 10 10 12 11 6 2 3 8 6 -3 -5 -0 2 2 3 3 2 3 10 5 -0 -2 -0 5 10 7 7 3 -3 2 6 5 4 7 12 15 20 21 13 9 9 10 6 1 4 6 2 2 1 3 10 7 5 8 12 14 7 0 2 7 9 10 8 7 0 8 19 17 12 8 8 9 10 10 10 9 8 5 3 2 1 1 4 8 10 9 11 21 25 13 4 6 6 7 8 7 7 6 7 7 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 4 5 5 5 5 5 5 6 7 6 6 5 5 4 4 4 4 4 4 5 4 4 2 3 4 4 3 3 3 3 3 3 3 4 4 5 5 5 6 6 6 6 6 6 7 6 6 6 6 6 6 5 5 4 5 5 5 6 6 7 7 7 7 7 7 6 6 6 7 8 9 10 11 11 10 9 8 8 7 7 7 7 5 4 2 -0 1 8 10 6 5 4 4 4 4 2 3 10 12 9 6 7 5 3 3 5 7 7 7 7 6 5 5 6 8 9 9 7 7 6 4 4 4 5 6 6 5 6 5 5 4 5 6 6 5 4 3 2 3 4 4 5 6 10 12 13 14 14 12 9 7 6 8 9 8 7 5 4 3 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 3 3 3 4 5 5 4 3 3 3 5 7 9 11 10 9 7 6 5 5 3 2 1 0 0 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 14 14 13 12 13 12 12 10 8 6 5 4 4 4 5 5 5 6 7 7 8 7 7 7 6 6 6 5 4 4 3 3 4 5 6 10 15 17 10 5 5 7 9 9 6 5 5 4 5 6 6 6 6 5 4 3 3 3 3 4 4 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 5 6 7 7 6 5 4 3 3 3 4 4 3 3 3 3 4 4 5 5 5 4 5 9 16 23 24 19 13 7 4 10 9 1 4 10 11 7 6 -3 -15 -24 -20 -12 -4 0 1 1 2 3 4 6 6 7 9 12 20 24 18 10 8 9 10 11 7 5 8 6 9 11 7 4 6 9 7 6 6 6 5 3 4 7 5 5 13 7 -1 -4 -2 -0 0 5 10 7 1 1 3 2 3 8 10 11 18 20 14 12 12 10 5 5 12 10 8 11 7 7 10 4 0 5 11 10 2 -1 3 8 4 5 9 11 7 12 20 18 12 9 9 8 9 10 11 9 7 4 3 3 3 2 3 7 9 9 11 21 26 15 6 7 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 6 7 6 5 5 4 4 3 4 4 4 5 5 5 4 3 3 4 3 3 4 3 3 3 3 3 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 7 6 5 5 6 7 8 9 10 11 10 9 8 8 7 7 6 6 5 5 4 3 -2 -4 1 6 5 4 4 4 4 3 0 -1 5 12 11 7 4 2 2 4 7 7 8 8 7 6 6 6 6 6 8 8 8 7 6 4 5 4 4 4 5 5 6 6 6 5 5 5 6 6 6 4 3 3 4 4 4 4 5 7 10 13 14 13 11 8 6 8 9 10 9 8 7 7 6 5 6 8 8 6 5 4 4 4 3 3 4 5 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 2 3 5 7 9 11 11 9 8 8 8 6 4 2 0 -1 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 14 14 12 11 12 13 13 13 12 10 8 7 6 6 6 5 5 5 6 6 6 7 7 8 8 7 6 6 6 6 4 3 3 4 5 8 13 16 13 7 4 5 7 8 7 5 4 5 6 7 7 7 6 6 5 4 4 4 4 4 4 3 3 2 2 3 3 4 4 4 4 5 5 5 5 6 6 5 4 4 4 4 4 5 6 8 8 6 6 5 5 5 4 4 4 3 4 4 4 4 5 5 5 4 5 13 23 27 23 14 7 4 2 4 7 2 -3 -1 0 0 -2 -11 -23 -30 -23 -12 -5 -1 0 1 1 2 4 6 7 8 11 14 17 19 17 12 9 9 10 8 4 0 -1 4 3 9 9 6 7 11 12 9 8 8 6 6 8 9 10 7 9 19 11 1 -0 3 4 4 5 6 8 6 4 1 -2 3 9 7 6 9 13 12 11 12 8 6 10 12 5 4 10 10 14 11 3 -3 -0 6 7 3 1 4 8 6 5 8 16 23 20 15 14 13 10 9 8 9 10 10 9 6 4 3 3 3 3 3 6 7 8 13 23 25 15 8 8 8 8 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 4 5 7 7 5 5 4 4 3 3 3 4 5 5 5 5 4 4 4 4 3 3 3 4 4 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 7 7 6 5 5 6 6 7 8 9 11 10 9 8 7 6 6 5 4 3 3 4 3 1 0 1 3 4 4 4 4 4 3 -0 -4 -1 6 9 7 3 0 1 5 7 8 8 8 8 7 6 6 6 6 7 7 7 7 6 5 5 5 4 4 4 5 6 6 6 6 5 5 6 6 7 6 4 3 4 4 4 4 4 4 6 9 11 12 10 9 8 8 9 9 9 8 9 9 9 7 9 13 17 15 11 7 5 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 4 4 4 2 2 3 4 6 8 10 10 10 10 10 10 9 7 3 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 10 10 9 10 12 12 13 13 13 12 11 10 9 8 7 6 5 4 5 6 7 8 9 9 8 6 6 7 6 6 5 4 4 4 6 10 13 12 8 4 4 6 7 7 5 5 5 6 7 7 6 6 6 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 6 6 6 5 4 5 6 8 8 7 8 8 8 7 5 3 4 4 5 5 5 5 6 5 5 5 12 24 29 24 13 2 -0 2 4 4 1 0 2 -0 -5 -8 -6 -16 -28 -27 -13 -5 -1 -0 0 1 2 4 6 8 9 13 18 18 15 12 10 9 10 12 12 10 5 2 -1 -1 5 12 10 7 6 7 8 4 6 11 10 8 7 8 6 6 12 20 13 5 7 10 7 5 3 4 8 9 7 1 -0 7 13 7 5 0 4 7 7 9 8 9 10 5 -1 0 3 5 14 13 4 -1 -2 1 7 9 8 8 9 9 8 12 19 26 20 12 11 11 9 7 7 9 10 9 9 7 4 3 3 3 3 4 5 6 7 15 24 22 12 7 9 9 8 7 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 4 5 4 4 5 5 5 5 5 6 5 4 4 5 7 6 5 4 4 4 4 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 6 7 7 7 7 8 8 8 7 7 7 6 5 5 6 7 7 8 9 10 10 9 7 6 6 6 5 3 2 2 3 3 4 4 4 4 4 5 5 4 4 4 3 -0 -1 3 7 7 3 -0 2 6 7 8 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 6 6 6 5 6 6 7 6 5 4 4 4 5 5 4 4 4 6 7 9 9 8 8 9 9 9 9 8 8 9 10 9 9 12 19 24 21 15 9 6 5 4 4 4 4 4 4 4 4 4 5 4 4 3 2 2 3 4 5 4 3 2 2 3 5 6 8 8 10 11 12 13 13 9 6 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 7 8 9 10 12 12 13 14 13 13 12 11 10 8 7 5 4 5 6 8 10 11 10 9 6 6 7 7 6 5 4 4 5 8 10 10 7 5 4 6 7 6 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 8 8 8 7 6 5 5 6 6 7 8 9 10 9 8 6 4 5 5 5 6 6 6 7 6 6 11 21 24 18 13 6 0 1 4 2 -5 -0 15 22 14 3 -2 -3 -10 -15 -12 -5 -2 -2 -0 1 3 5 7 8 10 15 20 20 15 9 7 9 10 11 12 12 11 8 8 4 1 8 12 10 7 3 4 8 5 9 13 9 6 5 6 5 5 11 11 10 8 11 8 4 4 4 3 4 6 7 4 4 10 13 6 -1 -0 10 8 3 5 8 10 8 4 3 3 0 2 16 17 6 4 -1 -2 6 12 11 11 14 14 15 17 19 18 13 10 9 9 7 6 7 9 9 9 9 6 4 2 2 3 4 5 5 4 6 14 22 19 11 7 9 10 8 6 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 6 6 6 5 4 4 4 3 3 4 4 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 8 7 8 7 8 7 7 7 6 5 5 5 6 7 7 8 8 10 10 9 7 5 5 5 5 4 4 4 3 3 5 5 5 5 5 5 5 5 5 4 5 4 3 4 6 5 2 1 4 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 5 6 7 6 5 4 4 5 6 5 4 5 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 7 8 14 23 28 25 17 11 7 4 3 4 4 4 4 4 4 4 5 5 4 4 3 2 2 3 4 4 4 3 2 2 3 3 3 5 7 10 11 12 15 12 8 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 6 7 7 7 9 11 12 13 13 13 12 12 12 13 12 11 7 4 4 5 7 9 10 11 11 9 7 7 7 7 6 5 5 5 6 7 8 7 6 6 7 8 7 6 6 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 4 4 5 6 6 7 7 8 8 8 7 7 6 5 5 5 6 7 7 6 6 6 6 6 6 6 6 6 7 6 6 12 23 25 15 8 8 5 3 6 6 -2 -10 7 28 38 25 10 4 -1 -9 -10 -6 -4 -3 -1 2 5 7 9 10 11 15 21 22 17 10 7 7 7 7 10 13 13 12 10 11 11 7 7 6 6 4 3 10 12 8 5 2 3 6 6 10 8 5 10 3 4 8 10 6 4 5 4 2 3 5 6 4 5 10 13 7 -5 4 18 10 4 2 5 6 7 6 7 2 -0 12 23 14 5 6 1 -2 5 9 10 14 18 20 19 18 15 12 10 8 7 7 6 6 6 6 6 9 9 7 4 2 2 3 4 5 5 4 4 9 17 21 17 10 9 9 9 7 6 6 6 7 6 5 6 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 5 4 5 6 6 5 5 4 3 3 3 4 4 4 5 4 4 4 4 4 4 5 5 6 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 5 5 7 8 8 8 7 7 7 7 7 7 6 5 5 5 5 6 7 7 7 8 9 10 10 8 6 5 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 1 2 5 6 5 6 7 7 7 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 6 4 4 5 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 5 8 18 29 31 25 16 9 5 4 5 5 4 4 4 4 5 5 5 5 5 4 3 3 3 3 3 4 4 3 3 2 1 1 2 3 5 7 10 12 11 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 7 8 7 6 6 8 10 12 12 13 12 11 10 11 12 14 14 10 4 3 4 5 7 8 11 12 13 11 9 8 8 7 6 5 5 5 5 6 7 7 8 8 8 7 7 7 7 7 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 5 5 5 4 4 4 4 5 6 6 6 7 7 7 7 7 6 5 4 3 3 3 4 4 5 6 6 7 7 7 7 6 7 13 22 25 18 8 3 -1 -2 4 9 6 -4 -10 11 21 24 16 1 -8 -13 -17 -15 -8 -5 -1 3 7 10 12 13 13 14 18 23 19 13 11 11 10 5 3 8 11 15 17 13 12 11 6 6 4 2 3 5 9 5 4 2 2 3 6 9 10 8 7 10 2 2 6 7 6 4 4 4 4 5 7 6 2 1 7 14 11 -1 5 12 11 8 4 6 6 5 5 4 -2 -2 15 19 6 0 6 5 3 6 5 8 13 17 18 18 17 13 10 8 7 6 6 7 7 6 4 5 8 9 7 4 2 2 3 4 4 4 4 4 6 13 23 23 13 8 9 9 7 6 6 7 7 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 5 5 5 6 5 4 4 6 7 5 4 4 4 4 3 4 4 4 5 5 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 3 4 4 5 6 5 6 6 6 6 6 6 5 5 5 5 5 5 6 7 8 8 8 7 7 6 6 6 6 5 4 5 5 5 6 7 7 7 7 9 10 10 9 6 5 4 4 3 3 4 8 9 6 5 5 6 6 6 5 5 5 5 5 5 4 4 5 2 -1 3 6 5 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 7 6 5 5 5 4 5 5 6 6 7 6 5 4 5 6 6 5 6 6 5 5 5 6 6 6 6 6 6 5 5 6 6 7 7 5 5 12 26 33 29 20 11 6 6 6 5 4 4 4 5 5 5 5 6 6 5 4 4 3 3 3 4 4 4 4 3 3 2 2 1 2 3 6 7 8 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 12 11 11 9 6 5 6 8 10 11 12 12 11 10 8 10 12 14 11 6 4 4 4 6 6 8 11 14 16 15 12 9 8 7 6 6 5 5 5 5 6 7 8 8 7 6 6 6 6 6 5 4 4 4 4 4 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 5 5 5 6 6 6 7 7 7 6 5 4 4 3 3 4 4 5 6 7 7 6 6 6 8 14 21 20 11 4 2 -3 -5 -1 8 11 5 -4 -5 4 6 2 0 -17 -25 -26 -19 -12 -4 0 5 10 12 14 15 16 18 17 19 20 15 12 13 15 14 7 2 3 8 15 18 15 12 8 3 4 6 5 5 6 3 -3 1 6 7 4 9 13 9 9 12 11 6 6 7 6 5 4 5 6 7 6 7 7 2 -1 6 12 10 3 1 4 11 7 7 15 14 8 5 0 -4 2 14 8 -0 -1 6 5 3 5 6 8 11 13 14 14 13 10 8 9 8 6 7 7 7 6 4 4 7 9 8 6 3 1 2 3 3 4 5 5 6 13 26 27 14 6 7 8 8 6 6 7 6 6 6 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 4 5 5 6 5 3 4 6 7 5 5 4 3 3 4 4 5 5 5 5 5 5 4 4 4 5 6 7 6 6 6 5 4 4 3 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 7 8 8 7 7 6 6 6 5 5 5 4 4 4 5 5 6 6 6 7 8 10 11 9 7 6 5 4 2 0 -1 4 9 7 5 5 5 6 6 6 6 5 5 6 5 5 5 5 3 2 4 5 5 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 6 5 4 4 4 5 6 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 6 10 20 29 29 22 14 11 11 10 7 5 4 5 5 4 5 6 6 6 5 4 4 4 3 3 3 3 4 4 4 4 4 3 2 1 2 2 3 5 5 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 16 15 14 12 9 7 5 6 7 8 9 10 10 9 8 9 11 12 11 8 5 5 5 5 5 6 7 11 17 19 15 9 6 6 7 7 6 6 4 4 5 6 7 7 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 7 7 6 6 5 5 5 5 6 7 7 7 7 7 6 6 6 6 6 7 11 16 14 5 -3 -5 -7 -7 4 12 15 11 6 2 1 -4 2 -2 -12 -23 -23 -17 -9 -1 5 9 12 14 15 15 17 22 24 20 18 17 13 10 9 11 11 6 2 1 6 13 15 15 13 11 8 5 4 4 6 7 3 0 3 6 6 4 9 7 2 11 16 13 12 11 9 7 6 6 9 8 5 5 6 7 3 3 9 10 5 3 3 9 10 2 11 22 20 14 10 4 0 9 14 3 1 5 5 1 0 5 8 8 8 9 10 9 5 4 8 11 10 8 8 7 6 6 4 4 7 9 10 8 4 1 2 2 2 3 4 5 8 17 28 26 13 4 4 7 8 7 6 5 5 5 5 5 6 6 7 6 7 7 7 5 4 5 5 5 4 4 5 4 4 5 6 6 5 4 4 6 6 5 4 4 4 4 4 5 5 6 5 5 5 5 4 4 5 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 5 5 6 6 7 8 10 11 10 8 6 5 4 3 2 -1 0 5 6 5 5 5 5 6 6 6 5 5 6 6 6 5 4 5 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 9 10 10 10 10 10 10 9 7 6 4 4 4 5 6 6 6 5 5 5 5 5 6 7 7 7 6 6 6 6 6 6 6 5 5 6 6 6 7 8 7 9 14 20 22 21 18 16 16 16 14 11 7 5 5 4 5 6 6 6 5 4 3 4 3 3 3 4 5 5 5 5 5 4 4 3 3 2 1 2 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 13 14 14 13 11 8 6 6 5 6 6 7 8 8 9 10 11 10 9 8 7 6 5 5 4 5 8 13 18 16 9 4 4 6 8 8 7 5 4 5 6 6 6 5 4 3 2 3 4 5 5 5 5 6 5 5 5 5 5 6 6 5 5 4 4 4 5 5 6 6 5 5 4 3 4 4 6 7 7 7 7 6 5 4 4 6 9 11 11 11 9 7 5 4 5 5 7 11 14 12 6 0 -2 -3 -5 2 12 15 13 8 6 7 3 -1 5 3 -8 -7 -2 4 6 9 12 14 14 13 13 16 20 25 25 19 16 16 14 8 3 3 7 9 5 1 3 9 12 13 11 12 14 11 5 1 5 7 6 5 6 4 4 8 5 -3 -4 7 11 9 12 11 7 9 11 10 10 8 4 4 5 7 6 9 13 5 -1 3 10 13 8 4 10 16 18 15 11 8 8 14 13 5 5 10 6 0 2 9 10 6 5 8 8 5 1 2 7 12 11 9 9 7 6 5 3 3 6 9 10 9 6 3 3 2 2 1 2 5 9 19 24 21 14 7 4 5 7 6 5 4 4 4 5 6 7 7 7 7 7 8 7 6 5 4 5 5 5 5 5 5 4 5 5 6 5 4 4 5 6 6 5 4 4 4 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 5 5 5 5 5 4 4 4 3 4 4 5 5 5 6 8 10 12 12 9 7 4 4 5 6 6 4 4 5 5 5 6 5 5 5 5 5 5 6 7 7 5 3 6 7 7 6 6 7 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 11 11 10 9 7 5 4 4 5 5 6 6 5 5 5 6 6 7 7 6 6 6 6 7 7 6 6 6 6 6 6 7 7 8 9 9 9 11 13 16 16 17 18 20 22 20 14 8 5 4 5 6 6 6 5 4 4 4 4 4 4 4 4 6 6 6 6 5 5 4 3 3 2 1 1 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 9 11 12 15 14 12 10 8 6 4 4 3 5 6 7 7 8 9 9 9 8 8 7 6 5 4 5 9 15 14 9 4 3 5 6 7 8 6 5 5 5 5 6 5 5 4 3 3 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 5 5 4 5 8 11 13 13 11 9 5 3 3 4 5 12 18 15 10 7 5 5 5 5 8 8 8 5 3 5 7 5 5 8 7 3 9 14 15 16 16 16 13 10 9 12 18 23 21 16 13 13 15 14 7 2 3 8 12 10 5 2 4 7 11 9 7 10 12 8 4 7 7 5 7 8 5 4 8 1 -3 2 2 2 1 3 2 3 12 19 14 9 8 7 5 5 6 7 11 12 3 0 6 11 12 4 1 4 7 16 15 6 9 13 13 9 5 6 8 4 3 9 13 9 4 4 7 8 7 4 4 7 11 11 10 9 6 6 5 3 3 5 8 9 10 8 5 3 3 2 -0 1 4 8 14 16 17 19 14 9 6 5 4 4 3 3 3 5 6 6 7 7 8 8 8 8 6 5 4 5 5 4 5 6 5 5 5 5 5 5 4 4 5 5 6 5 4 4 4 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 7 7 7 7 6 5 5 5 5 5 5 5 5 5 4 3 3 4 4 5 5 5 5 7 9 12 13 11 7 4 4 6 10 10 6 5 6 6 6 6 5 5 5 5 4 5 6 7 7 5 3 6 8 7 6 6 7 7 7 7 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 11 11 11 11 10 8 7 5 5 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 11 13 12 12 15 20 24 24 19 12 8 6 5 5 6 6 5 5 5 5 6 5 4 4 3 4 5 6 6 6 5 5 4 4 3 3 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 7 8 12 14 14 14 13 10 7 5 3 2 3 3 4 6 7 7 7 8 8 8 8 6 5 4 6 11 13 11 7 5 4 5 6 7 6 6 5 4 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 5 6 5 5 5 5 4 5 4 4 4 4 4 4 4 5 6 5 5 5 5 4 6 8 12 14 13 10 7 4 4 4 5 7 10 7 3 7 9 9 8 7 6 6 6 5 1 1 6 8 7 7 7 7 8 15 21 21 20 17 11 6 4 6 13 20 20 14 9 10 11 13 10 6 6 9 13 15 11 8 4 3 4 6 7 5 6 10 9 10 11 6 5 7 6 8 12 12 1 2 6 2 0 -1 -0 -0 4 14 21 14 8 8 9 7 5 2 3 8 7 4 4 6 9 10 6 3 2 5 16 14 9 15 14 7 2 2 5 6 3 4 10 10 5 2 3 7 10 11 11 9 10 11 10 8 8 6 9 10 7 4 5 7 7 9 10 8 5 3 2 0 0 3 6 8 10 15 19 17 16 13 7 4 4 3 3 3 4 5 6 7 7 8 8 8 8 6 5 5 6 5 4 5 6 6 6 5 5 5 5 5 4 4 4 5 5 5 4 5 5 6 6 6 5 5 5 5 5 5 4 5 6 7 6 5 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 5 4 4 5 4 3 4 3 4 4 4 5 5 6 9 13 14 12 8 5 4 5 8 8 6 6 7 6 5 5 4 4 5 5 4 4 5 6 6 4 4 6 8 7 6 7 7 7 7 5 5 5 5 5 6 6 5 5 5 6 6 6 7 7 7 8 8 8 7 9 10 11 12 12 12 11 10 8 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 8 7 7 8 7 7 8 8 8 8 8 7 9 12 13 10 9 12 18 23 25 23 17 11 9 6 6 6 6 5 4 5 6 7 7 5 3 3 3 4 5 6 6 5 5 6 6 5 5 5 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 7 10 12 14 16 15 13 10 7 3 2 1 2 3 4 5 5 6 7 8 8 8 8 6 5 8 11 12 10 7 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 5 6 7 7 7 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 7 7 10 11 11 8 6 5 5 6 7 7 5 -1 1 8 11 11 10 8 6 7 10 5 -2 4 14 16 8 5 10 14 16 22 25 20 14 7 0 -1 2 9 18 19 14 9 10 10 10 11 10 7 8 12 16 17 10 8 6 5 6 4 5 6 8 10 9 12 14 10 9 9 6 8 15 14 7 5 6 6 5 5 6 4 8 16 18 11 7 10 7 4 2 -2 -1 3 5 5 3 2 6 8 9 10 9 11 14 8 7 13 10 1 -1 3 8 9 8 6 6 5 3 2 5 9 11 13 13 11 11 10 8 6 6 7 12 15 13 9 6 6 6 6 8 10 9 5 2 1 1 2 5 7 8 10 12 16 22 21 11 7 6 4 3 3 3 4 5 6 7 7 7 8 7 6 4 5 6 4 3 5 7 7 7 6 6 5 5 5 5 3 3 5 5 5 4 5 6 7 7 6 5 4 4 5 5 5 4 5 6 6 6 6 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 5 5 5 5 8 12 15 14 10 5 4 5 7 8 6 6 6 5 5 4 4 4 5 5 4 4 5 6 4 -0 3 7 8 6 7 7 7 6 6 5 6 6 6 6 5 6 6 6 6 6 7 7 7 8 8 8 8 8 8 10 12 12 13 13 12 12 12 11 10 9 9 8 8 9 10 9 8 7 6 5 5 6 7 7 8 7 7 8 8 8 8 8 8 9 8 8 8 9 12 12 11 10 11 15 21 27 30 27 20 15 11 8 7 6 4 4 5 7 9 8 5 3 2 3 4 5 5 5 6 5 5 5 6 6 6 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 5 5 5 6 8 10 13 15 16 15 12 8 5 3 3 2 3 3 3 4 5 7 8 9 9 8 7 7 8 10 10 9 8 7 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 5 4 3 3 4 6 7 8 8 7 6 6 6 6 7 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 6 6 7 7 6 5 7 9 10 11 12 12 9 6 8 9 3 -2 11 30 34 21 11 11 13 16 19 17 9 1 -4 -4 -0 8 16 18 14 7 6 9 10 8 9 11 11 9 13 17 16 10 7 7 6 9 8 7 7 8 8 8 11 13 13 12 9 6 6 7 8 8 7 9 9 7 12 9 6 10 17 16 10 10 13 4 -1 -2 -2 -1 2 6 8 6 5 8 8 8 10 14 18 16 3 -2 4 6 1 0 5 10 14 14 10 6 5 3 2 7 10 11 11 11 10 7 7 7 6 7 9 11 14 15 14 9 8 7 7 7 10 11 9 6 4 2 2 4 6 6 6 7 13 21 20 11 12 14 8 4 3 4 4 4 5 6 6 7 7 6 6 5 5 5 3 3 5 8 9 8 7 6 5 5 5 4 3 4 5 4 4 5 5 6 7 6 5 4 4 4 5 5 5 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 6 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 5 5 5 5 7 11 14 15 11 7 3 4 7 9 6 4 5 5 5 5 4 4 5 5 4 4 6 6 3 -4 -1 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 7 8 8 7 7 7 9 12 14 13 13 13 13 14 14 13 12 11 10 10 10 10 10 9 7 6 6 5 6 6 7 8 7 7 7 7 8 8 8 8 9 9 9 8 8 9 10 11 12 12 10 10 15 25 34 39 36 26 16 10 8 7 5 4 4 6 8 8 6 3 3 3 3 5 6 6 6 6 5 5 6 6 6 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 15 18 15 12 6 7 10 14 13 7 4 7 13 16 18 16 12 7 9 10 17 19 18 17 16 11 3 1 5 10 14 15 13 8 9 13 14 15 14 12 10 10 13 14 16 19 19 18 17 17 15 14 13 15 18 15 12 13 15 15 13 12 12 13 14 14 14 13 11 11 11 12 11 12 14 16 15 13 10 10 13 12 8 6 7 10 11 11 12 11 8 6 7 8 10 11 12 12 12 12 12 12 12 12 11 11 11 11 12 11 12 12 12 13 12 12 13 14 14 13 10 9 9 9 9 10 11 12 12 13 12 12 12 12 13 15 14 11 11 11 12 14 17 16 13 9 10 14 17 18 16 14 14 14 14 13 12 11 12 13 13 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 12 12 11 10 12 14 15 15 14 13 13 13 13 13 15 17 19 20 21 23 24 25 29 31 30 30 29 26 24 23 21 22 27 26 19 17 15 14 14 14 15 14 14 13 13 14 15 16 17 17 15 15 14 15 16 17 18 17 15 16 17 17 17 15 13 11 12 14 14 14 14 16 17 20 21 21 18 16 15 14 15 15 15 14 13 12 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 10 10 11 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 11 12 11 9 9 9 9 9 9 11 10 10 10 11 11 11 11 10 10 10 10 10 10 11 10 10 11 11 11 11 11 12 12 11 12 12 11 11 11 10 10 10 11 12 14 14 14 13 12 12 12 11 12 12 12 12 13 13 12 11 13 16 16 14 13 15 15 15 15 14 12 11 11 12 13 13 14 15 15 15 15 15 15 16 16 17 16 13 14 14 15 17 16 11 9 9 9 9 10 11 9 7 7 15 23 30 27 19 17 16 15 13 13 12 11 11 13 13 13 13 13 14 14 14 14 14 13 13 13 14 14 15 15 14 14 14 15 15 15 14 14 14 15 17 18 18 15 12 11 15 16 16 16 15 14 13 13 13 13 14 14 15 16 16 15 15 14 13 13 13 12 12 12 12 12 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 8 5 4 11 16 18 17 16 13 13 7 8 16 16 14 14 14 13 9 9 9 10 14 15 14 10 8 7 10 12 12 12 11 12 14 15 18 20 20 20 17 15 14 14 14 13 11 9 9 11 14 15 13 11 13 13 13 12 11 11 10 11 10 10 9 9 10 13 15 14 11 10 12 11 10 8 10 12 13 12 13 11 8 6 6 7 9 12 12 12 12 12 13 12 11 11 11 11 11 10 11 11 12 12 12 13 13 13 14 14 14 12 11 9 9 9 10 10 11 12 13 12 12 12 12 13 14 14 12 11 13 14 14 14 15 14 13 12 10 11 14 15 15 13 12 14 14 13 12 12 12 13 13 13 13 14 14 14 14 13 13 13 13 14 13 12 13 12 12 11 11 11 13 14 15 15 13 11 7 6 10 19 25 21 20 21 21 21 21 21 21 22 23 22 20 19 16 14 12 12 17 17 15 15 15 15 15 14 14 14 14 13 12 12 13 15 16 16 15 14 13 13 14 16 17 16 15 14 15 16 17 19 18 16 14 15 15 16 15 14 15 17 20 21 19 16 14 14 14 14 13 13 13 12 12 13 13 14 14 13 14 14 14 14 13 13 12 11 11 11 12 11 12 11 11 11 11 11 11 10 11 11 11 12 11 11 11 11 10 10 11 11 11 11 12 13 14 15 14 11 9 9 8 8 9 10 10 10 11 11 11 10 11 10 10 10 10 10 10 10 10 9 10 10 11 12 11 11 12 11 11 12 12 12 11 11 10 10 10 11 12 13 13 14 14 14 13 12 12 12 11 11 12 11 12 12 13 13 12 14 15 14 13 13 16 16 13 10 8 6 6 9 13 14 14 14 13 14 14 14 14 14 14 15 16 15 15 18 19 19 19 16 11 10 10 10 10 11 12 13 13 15 18 21 21 18 15 14 13 14 14 13 12 12 12 13 14 14 13 14 14 14 14 14 12 13 13 14 15 15 15 14 14 14 15 15 15 15 14 14 14 15 18 19 18 14 10 10 13 16 16 15 14 13 14 14 14 13 14 15 15 15 16 15 15 14 13 13 12 12 13 13 12 12 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 10 7 7 14 17 18 12 11 12 19 18 12 10 10 12 14 13 11 9 9 9 9 10 12 12 14 15 14 14 16 16 15 13 12 13 13 12 9 8 9 10 11 12 13 12 10 11 11 12 12 11 10 9 10 9 8 8 9 10 11 13 14 14 11 11 12 13 14 14 14 14 15 15 15 12 8 6 6 9 11 13 12 12 12 12 11 11 10 11 11 10 10 11 11 12 12 12 13 14 14 14 14 13 12 11 9 9 10 11 12 13 13 12 12 12 13 13 13 14 13 12 12 13 15 15 15 15 14 13 13 11 12 13 14 14 13 12 13 14 13 13 12 12 11 11 12 14 14 15 14 14 14 13 13 13 13 13 12 12 12 12 11 11 12 14 14 15 14 13 10 5 2 5 16 28 30 29 26 22 20 18 17 17 15 15 15 15 14 13 12 11 11 11 12 13 14 15 15 15 15 15 14 14 14 14 13 12 12 14 16 15 14 13 11 11 13 16 17 16 15 14 14 14 18 22 18 16 16 16 15 13 11 7 5 8 11 15 17 17 15 14 13 13 14 14 13 13 13 14 15 15 15 15 15 15 14 13 13 12 12 12 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 12 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 10 10 11 12 12 12 12 12 12 12 11 12 11 11 10 11 11 13 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 13 12 13 14 14 15 15 15 15 12 8 5 5 8 9 13 14 15 14 13 13 13 14 15 14 13 14 14 15 16 18 21 20 16 13 11 11 11 11 11 12 12 13 13 14 13 14 14 14 14 14 14 14 14 14 13 12 12 12 13 14 14 14 14 14 14 14 13 12 13 14 15 16 15 15 15 13 14 15 15 15 15 14 14 14 16 19 20 17 13 11 12 14 14 13 14 14 13 13 13 14 14 15 15 14 15 16 16 15 15 13 12 12 12 12 12 13 12 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 15 7 8 16 16 14 8 9 9 11 10 10 11 12 9 7 8 11 13 13 13 12 13 12 10 9 8 8 11 14 13 10 10 11 11 10 9 9 10 10 8 8 10 13 12 10 8 9 9 9 11 11 11 12 13 15 15 11 10 12 13 14 14 14 15 16 16 16 14 10 7 7 8 11 12 13 12 12 12 11 10 10 11 11 11 10 11 12 12 12 13 13 14 14 14 14 13 11 10 9 10 11 13 14 13 13 13 13 13 13 13 13 13 13 13 13 14 15 15 15 14 13 14 14 13 12 12 12 12 12 13 14 14 13 13 13 13 12 11 12 14 14 14 14 14 14 14 13 13 12 13 13 12 12 13 12 13 13 14 14 14 14 14 13 11 8 6 9 15 23 30 36 32 23 17 16 16 15 14 13 13 14 14 15 14 13 12 12 12 13 15 15 15 16 17 17 17 16 15 15 14 13 14 15 16 15 15 13 12 12 15 17 17 17 16 13 10 13 18 17 16 15 14 14 15 13 9 5 6 8 12 15 16 16 16 14 14 15 15 15 15 14 14 15 15 15 14 14 14 13 12 12 13 13 12 12 13 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 12 13 13 14 14 14 12 9 8 8 9 10 10 9 10 9 9 10 10 10 9 10 10 10 10 9 10 10 10 9 9 9 10 10 11 12 13 13 12 12 12 11 11 11 11 11 11 11 12 13 13 13 12 11 11 11 11 11 10 11 12 11 12 12 12 12 12 13 14 14 16 17 16 15 14 11 10 10 12 14 15 16 15 13 13 13 13 14 14 14 14 13 13 13 14 16 19 20 17 13 11 10 11 11 11 11 12 13 13 13 13 12 13 13 14 14 14 14 14 14 13 13 12 11 12 14 14 14 14 14 14 14 14 13 12 13 15 15 16 16 16 15 13 13 14 14 15 14 14 15 16 16 18 21 17 12 11 11 13 12 13 13 14 14 12 12 13 14 15 15 15 14 14 15 15 14 13 12 13 11 11 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 7 12 15 15 12 11 10 8 7 7 9 11 12 12 12 13 11 10 9 10 12 14 14 13 13 12 10 8 6 8 9 6 4 4 6 8 9 9 8 8 8 10 11 12 12 11 12 14 14 10 10 11 13 13 14 14 14 14 15 14 12 9 8 8 9 10 12 12 11 11 11 10 10 10 10 11 11 12 12 13 13 13 13 13 14 14 14 13 12 11 11 10 11 13 14 14 14 14 13 13 13 13 13 13 14 14 12 12 13 13 14 15 14 14 14 13 13 13 12 11 11 13 14 14 14 14 14 14 13 13 13 12 13 13 14 14 14 14 13 13 13 13 13 13 12 13 13 13 13 14 15 14 14 15 15 15 16 14 9 5 4 8 17 38 44 27 18 16 16 15 14 13 13 13 15 16 15 14 13 13 12 13 14 14 14 15 19 25 27 22 18 19 17 16 15 15 14 14 14 14 13 12 12 13 15 16 16 14 12 13 14 15 15 15 15 14 14 15 15 13 11 10 9 11 13 16 16 16 15 15 15 15 15 14 14 14 14 13 13 13 13 13 12 12 13 13 13 13 13 13 12 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 14 14 15 15 14 12 10 9 9 9 10 10 9 9 10 10 10 10 10 10 10 9 10 9 9 9 9 10 10 9 9 10 10 11 12 12 13 13 13 12 12 12 11 11 11 11 11 12 12 13 13 13 12 11 11 10 10 10 9 10 12 12 12 12 13 13 13 13 12 15 18 18 17 15 13 12 13 13 14 16 16 16 15 14 13 13 14 14 14 14 14 13 12 12 12 13 15 18 18 15 13 11 10 10 11 11 12 13 13 13 13 12 13 13 14 15 14 12 13 13 13 12 12 12 12 12 13 14 14 15 15 14 14 14 13 13 14 15 16 15 14 14 14 14 14 14 14 14 13 13 14 16 17 18 19 18 15 12 10 11 12 14 16 14 13 12 12 12 13 14 15 15 15 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 10 12 12 12 11 12 13 12 12 13 15 17 14 13 13 14 13 10 9 8 9 10 9 7 5 5 7 9 12 12 11 12 11 10 11 11 11 11 11 10 11 13 14 14 13 13 13 13 13 12 11 10 8 8 9 11 12 11 11 11 11 12 11 10 10 11 12 13 13 13 13 13 13 13 13 14 14 14 12 11 10 10 12 14 14 15 15 15 14 13 13 12 13 14 14 13 12 12 12 13 14 15 14 13 13 13 12 12 12 13 12 13 13 13 14 14 14 14 14 14 13 13 12 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 14 15 15 15 15 16 16 14 15 15 14 10 3 -4 -0 29 47 36 25 18 16 14 13 13 14 14 14 15 16 16 16 15 14 13 14 13 11 8 9 20 32 29 22 22 19 17 17 16 14 12 12 13 13 13 12 12 13 13 14 13 13 14 13 13 14 14 14 13 13 13 13 13 12 11 10 10 11 13 15 16 16 15 14 15 15 14 15 15 14 14 13 13 14 13 13 13 12 12 13 13 13 13 13 12 12 12 12 12 12 13 14 14 14 15 15 16 16 17 17 17 17 16 14 12 11 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 12 13 13 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 12 11 11 10 9 8 9 10 12 13 13 14 14 13 13 13 14 16 18 17 13 10 11 12 13 13 14 15 16 15 13 13 14 14 14 14 14 14 13 12 12 12 11 13 16 19 19 17 13 10 10 10 11 12 13 14 13 13 13 12 12 13 14 14 13 13 13 13 13 12 12 13 13 13 14 14 14 14 14 14 15 15 14 14 15 15 15 14 13 13 13 14 14 13 13 14 14 14 13 13 15 17 19 19 17 13 12 12 13 14 15 15 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 21 17 13 11 11 12 14 15 16 17 19 20 18 16 14 14 17 21 24 25 23 21 21 23 23 23 21 19 17 18 18 17 17 19 21 21 19 19 21 23 22 19 17 15 13 11 9 9 10 11 12 12 12 13 13 11 8 7 6 6 6 6 6 6 6 6 6 7 7 6 4 3 2 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 11 12 15 20 23 25 26 27 29 29 29 30 31 29 25 18 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 18 18 13 7 4 3 2 2 0 0 0 2 10 8 12 16 17 16 22 30 34 40 36 24 8 1 0 0 0 0 0 1 8 20 28 27 20 12 6 3 14 41 49 28 14 6 1 0 2 6 13 20 28 40 57 71 78 78 75 74 77 78 83 87 85 82 79 76 81 87 86 77 61 39 16 4 0 0 0 3 3 1 0 0 0 0 0 0 0 7 3 0 0 1 8 17 18 25 50 72 95 116 127 128 132 140 143 134 117 98 86 92 85 67 60 76 93 94 95 97 97 93 83 73 68 65 65 62 60 62 67 70 80 102 134 156 160 153 144 139 124 110 105 112 125 134 129 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 20 18 13 9 8 10 10 10 10 12 15 16 16 13 11 10 10 12 14 16 14 13 14 17 18 17 16 15 14 14 15 15 14 14 16 16 16 15 16 17 18 16 13 10 8 7 6 7 7 8 9 10 10 10 11 10 8 7 7 7 7 7 6 6 6 7 7 7 7 6 4 2 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 8 8 9 12 14 16 19 24 28 32 32 34 36 34 27 19 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 18 20 17 14 13 11 10 5 1 0 4 14 15 15 17 17 17 19 28 34 34 27 14 3 0 0 0 0 0 0 4 20 37 44 42 34 21 12 10 22 43 41 23 12 5 0 0 0 0 0 4 11 16 29 50 62 67 67 65 64 65 69 74 76 75 77 77 76 75 79 79 77 66 48 28 11 3 1 0 0 0 0 0 0 0 0 0 1 1 8 2 2 2 0 2 2 4 16 39 68 93 121 132 134 139 139 134 125 114 110 115 112 114 128 138 132 115 106 105 104 99 88 78 74 72 69 66 68 75 79 84 99 124 146 155 145 135 129 125 115 109 113 122 130 132 127 121 nan nan nan nan nan nan nan nan nan nan nan 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 14 15 13 10 9 9 8 6 6 7 11 14 14 12 10 8 8 8 8 6 4 2 4 9 14 17 18 16 15 15 15 14 13 12 12 11 12 12 12 12 12 11 8 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 6 6 6 7 7 7 7 7 5 3 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 5 6 7 8 10 12 16 19 23 27 29 25 19 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 23 23 21 20 21 20 14 8 3 9 18 21 21 19 18 19 27 35 33 26 20 10 2 0 0 0 0 0 0 5 20 38 48 49 42 28 16 12 25 42 38 22 12 6 4 3 0 0 0 0 1 3 6 20 37 50 54 53 52 53 55 59 62 62 66 70 69 63 57 63 67 69 64 56 44 28 16 8 3 0 0 0 0 0 2 4 6 8 8 2 10 8 2 0 4 7 6 16 55 90 118 140 141 139 136 130 122 112 108 111 118 134 156 167 157 133 118 115 115 108 98 92 88 85 83 82 83 89 98 112 130 135 130 135 130 122 121 121 116 115 119 126 130 129 125 120 116 nan nan nan nan nan nan nan nan nan nan 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 9 11 13 12 11 10 8 6 4 3 7 11 12 12 10 9 8 8 6 2 1 1 1 5 14 19 22 22 19 16 15 14 13 12 11 10 10 9 8 7 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 3 2 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 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 2 3 3 3 3 3 3 4 4 5 7 11 13 11 8 6 4 1 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 18 24 25 24 24 24 22 17 14 16 21 24 23 20 19 22 34 39 32 26 21 12 3 0 0 0 0 0 0 7 22 35 45 50 45 34 22 19 29 39 33 18 8 4 6 6 0 0 0 0 0 0 0 2 12 23 33 34 36 39 44 47 47 47 42 49 49 36 22 33 44 46 56 60 60 56 47 34 23 14 8 6 3 2 6 10 10 9 10 4 7 13 8 0 3 12 36 72 99 118 132 148 147 143 137 128 121 112 104 106 114 127 146 161 151 135 131 135 136 123 112 108 103 99 99 102 105 112 124 140 150 141 129 129 127 126 132 135 133 129 127 127 128 126 123 117 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 8 10 11 12 11 11 9 4 2 4 7 9 10 10 10 9 9 9 9 8 6 6 9 16 21 24 26 23 18 15 13 13 13 12 10 8 5 4 2 1 1 1 2 2 1 1 1 2 2 3 3 3 3 3 4 4 4 4 4 5 6 6 4 2 2 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 2 3 3 2 2 1 0 0 0 1 3 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 10 20 25 25 23 23 24 22 20 20 22 23 21 19 24 34 39 35 28 25 22 14 4 0 0 0 0 0 0 5 17 27 38 45 45 39 31 28 33 40 32 14 3 0 2 3 0 0 0 0 0 0 0 0 1 4 5 4 10 15 25 36 37 28 13 12 6 1 0 3 13 14 19 36 52 56 60 58 52 46 42 36 23 13 10 11 11 7 3 2 7 25 45 43 13 15 70 130 142 138 137 141 144 143 139 131 125 118 112 109 115 126 140 150 143 138 145 156 157 143 130 123 115 108 110 120 127 132 135 137 137 136 137 135 127 127 137 144 145 142 136 132 132 128 123 116 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 7 8 10 10 11 11 8 5 6 7 8 9 10 10 10 13 17 20 22 20 16 15 16 19 21 23 23 19 15 13 13 13 11 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 19 25 24 21 22 23 23 22 21 20 19 17 20 32 40 35 27 25 25 24 16 4 0 0 0 0 0 0 1 5 13 24 36 41 38 35 34 39 43 34 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 22 32 31 26 11 2 0 0 0 0 1 2 9 20 31 42 54 64 68 68 64 56 40 22 10 7 8 11 14 20 36 90 110 76 43 90 148 150 138 130 122 118 123 129 131 131 128 125 125 130 141 151 155 155 159 166 172 171 156 137 125 117 110 115 130 137 136 130 122 120 132 147 145 131 124 130 140 145 146 142 135 134 130 120 109 99 nan nan nan nan nan nan nan nan nan 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 6 5 6 6 6 7 8 9 10 10 10 10 11 11 11 12 12 13 16 22 26 28 25 20 16 16 17 18 19 20 19 16 14 13 12 11 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 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 2 12 22 24 22 20 20 21 22 24 21 17 14 14 27 42 38 27 24 25 25 25 19 7 0 0 0 0 0 0 0 0 2 8 21 32 38 37 38 42 45 36 17 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 9 23 33 36 28 15 6 1 0 0 0 0 1 0 3 11 28 53 66 74 79 76 66 42 8 2 12 45 61 67 58 115 151 152 123 130 147 146 140 128 115 103 97 104 116 128 134 134 137 144 154 160 162 165 174 181 181 174 156 134 119 114 112 117 129 133 128 120 114 116 131 150 155 145 130 126 131 136 138 135 128 124 117 109 99 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 14 9 5 5 6 6 6 6 7 9 10 11 13 14 15 15 16 16 17 19 22 22 22 19 16 14 14 15 16 17 19 20 19 17 15 14 12 11 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 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 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 1 7 17 22 20 19 19 20 23 26 25 19 12 18 36 44 31 24 23 24 25 25 22 12 0 0 0 0 1 2 1 0 0 1 5 18 27 39 41 45 45 36 23 8 1 0 0 0 0 0 0 0 0 0 0 0 5 13 18 13 8 6 8 16 28 36 35 31 20 8 2 0 0 0 0 0 0 0 6 22 37 51 60 67 69 58 12 0 3 52 85 95 104 125 154 161 150 143 141 144 143 136 126 112 96 93 101 114 127 135 141 151 160 160 160 165 174 180 179 168 148 129 119 116 113 116 126 124 115 109 107 110 121 134 143 146 139 130 124 120 117 112 108 106 104 99 91 86 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 nan 11 14 9 5 7 7 6 4 4 6 8 9 10 11 13 15 17 18 19 19 19 18 15 12 10 9 10 11 12 14 16 19 19 18 16 15 14 13 11 9 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 1 1 1 1 1 1 1 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 2 2 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 18 20 19 20 22 26 34 39 30 21 28 45 39 24 22 22 23 24 25 24 17 2 0 0 0 0 1 1 0 0 0 0 7 16 35 44 47 45 33 23 14 8 2 0 0 0 0 0 0 0 0 0 0 8 19 23 21 18 18 17 18 25 29 29 31 28 19 5 0 0 0 0 0 0 0 0 1 7 14 21 44 56 57 31 14 7 37 72 78 82 110 141 152 148 145 146 146 146 143 138 129 116 105 106 114 126 136 145 155 162 158 156 161 169 176 176 168 152 139 135 130 119 115 123 121 113 106 105 108 114 118 125 135 140 135 122 106 96 88 85 87 91 90 84 81 81 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 11 13 9 6 10 8 3 2 4 7 8 9 10 11 13 14 15 17 17 16 15 12 9 7 6 6 6 7 9 11 13 15 16 16 16 15 13 11 9 8 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 1 1 1 1 1 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 1 0 0 0 0 0 0 0 0 0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 19 19 20 22 26 32 39 38 32 34 38 29 25 25 24 23 25 26 28 23 8 0 0 0 0 0 0 0 0 0 0 1 7 26 43 48 45 30 21 18 14 5 0 0 0 0 0 0 0 0 0 0 3 10 15 16 17 18 18 18 20 23 24 26 27 22 8 1 0 0 0 0 0 0 0 0 8 19 26 36 51 62 60 49 46 60 77 81 85 102 129 143 143 143 143 143 144 144 142 139 131 121 120 130 143 152 157 159 162 156 152 154 161 171 177 177 172 168 163 153 136 123 120 120 119 118 118 118 115 110 113 125 134 135 125 105 88 78 73 74 77 78 74 69 69 nan nan nan nan nan nan nan 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 7 12 14 15 15 12 6 1 1 4 7 10 11 12 12 12 12 13 14 14 13 12 9 7 6 6 5 6 6 7 7 9 13 15 16 15 13 11 9 7 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 1 1 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 19 20 21 23 25 28 32 31 29 29 27 26 24 24 25 25 26 26 28 26 15 2 0 0 0 0 0 0 0 0 0 0 1 11 30 42 44 37 26 21 17 9 2 0 0 0 0 0 0 0 0 0 0 1 2 6 8 8 9 7 8 10 11 20 21 14 10 6 4 1 2 1 0 0 1 11 34 50 53 50 53 67 76 75 79 90 94 91 90 99 117 133 137 135 135 137 140 141 140 138 135 130 131 139 150 158 171 171 164 157 149 146 152 160 169 178 183 183 179 170 154 137 128 125 128 133 136 133 125 114 110 116 123 129 128 114 96 83 76 70 68 71 65 58 55 nan nan nan nan nan nan nan 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 5 8 13 17 19 18 13 4 1 1 3 7 10 12 13 12 11 10 10 11 11 12 10 9 8 8 8 8 8 6 5 5 8 12 15 15 14 12 10 9 8 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 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 19 21 20 22 24 26 28 25 21 18 16 14 14 14 17 18 20 18 20 22 16 3 0 0 0 0 0 0 0 0 0 0 0 1 6 20 31 33 30 26 21 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 6 11 9 10 11 12 15 15 12 6 3 2 13 35 53 62 60 56 62 74 83 92 105 113 107 100 103 111 122 131 132 128 128 134 140 141 136 137 135 134 137 142 147 168 182 178 166 152 146 146 149 154 164 176 181 179 172 164 154 146 144 145 145 144 141 131 121 116 115 119 124 132 132 116 100 87 74 66 66 62 55 50 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 4 6 9 12 16 20 21 14 4 1 1 2 6 9 12 14 14 11 10 9 9 9 9 8 7 7 10 12 12 10 8 6 5 7 11 13 14 13 12 10 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 2 1 1 4 17 21 21 22 25 26 26 24 19 10 5 0 2 3 5 6 8 8 9 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 14 17 19 16 13 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 13 17 23 31 44 37 26 16 9 16 31 48 63 62 62 69 78 90 105 118 114 108 111 114 114 118 127 125 121 128 139 145 145 140 136 134 133 134 139 160 184 190 179 162 150 144 142 143 147 157 167 171 169 165 160 158 156 154 148 141 135 129 125 126 128 131 136 142 147 140 123 102 81 70 68 67 61 56 56 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 3 4 6 8 9 11 15 22 22 15 6 2 1 2 4 8 12 15 15 12 10 8 7 7 7 6 5 7 11 14 13 12 8 5 4 6 9 11 13 12 11 10 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 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 1 2 3 4 4 3 2 2 4 3 3 4 3 2 3 5 6 4 2 1 3 12 19 22 24 26 26 25 24 19 9 3 1 0 0 0 0 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 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 2 7 12 16 21 32 52 67 67 52 26 9 9 27 49 61 68 70 72 79 88 97 101 105 114 122 119 116 118 122 120 123 134 144 146 139 134 133 132 131 132 144 171 191 188 173 158 150 144 141 139 143 150 158 160 155 150 148 148 145 140 133 130 130 136 144 144 142 141 143 144 137 130 117 96 85 85 85 79 74 79 nan nan nan nan nan 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 6 8 9 8 7 8 14 21 20 13 7 3 2 2 3 8 13 16 16 13 10 6 6 6 5 4 5 9 12 12 12 10 7 5 5 8 11 13 14 12 11 10 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 10 11 12 12 13 12 9 6 4 4 5 5 5 5 6 5 2 1 2 6 12 18 23 26 26 27 27 24 16 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 3 6 10 13 18 32 52 69 77 58 21 1 7 22 49 74 77 75 74 76 78 80 88 102 121 127 124 123 125 125 123 129 138 139 133 129 130 131 130 126 128 150 176 182 174 164 158 151 144 137 136 141 146 147 145 139 136 135 134 133 133 134 141 152 156 147 135 129 125 121 122 124 125 114 112 113 108 98 90 99 nan nan nan nan nan 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 4 7 11 13 10 5 2 3 6 11 13 12 10 9 6 4 4 7 11 14 15 12 8 6 5 4 4 4 7 10 11 10 10 9 7 8 11 13 14 15 14 12 11 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 3 5 7 9 11 13 14 16 17 20 26 29 25 14 6 5 6 6 5 5 5 6 5 3 2 3 4 6 10 14 20 23 26 27 27 22 12 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 2 5 6 5 4 4 2 2 3 4 6 18 25 38 60 66 37 4 0 1 27 70 85 83 77 74 74 75 76 86 109 125 132 136 138 139 136 133 133 131 126 124 125 126 126 120 114 124 144 157 164 158 157 154 145 134 129 134 137 139 137 133 132 132 134 137 142 148 158 163 151 129 118 118 113 104 102 118 126 121 119 120 109 100 98 106 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 0 0 2 8 14 16 13 6 2 2 3 5 7 10 14 16 13 10 7 5 6 8 11 13 9 5 3 2 2 3 5 7 9 9 8 7 6 8 12 15 15 16 16 13 11 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 0 0 0 0 0 0 0 2 3 4 5 4 3 2 1 1 2 2 1 1 3 5 7 8 8 7 6 6 7 8 10 11 13 15 17 17 16 16 18 23 24 17 9 6 6 8 9 8 7 6 6 6 4 3 3 3 4 5 6 9 15 19 21 21 19 14 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 1 0 0 0 4 10 12 11 10 9 6 3 0 1 5 13 15 19 28 43 35 12 1 0 12 45 77 88 85 81 81 82 78 80 94 113 130 144 152 155 152 145 135 124 120 123 124 125 124 117 103 100 108 124 137 141 146 149 143 133 124 126 128 126 126 125 125 128 137 147 157 165 172 170 141 112 108 109 102 93 78 92 101 101 94 90 95 97 98 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 2 8 13 15 14 10 6 6 8 6 3 4 9 13 16 15 13 10 6 4 4 8 10 6 1 0 0 1 3 6 8 8 7 5 3 4 8 12 14 15 15 14 13 10 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 4 5 5 5 6 8 11 12 13 13 13 13 12 10 9 9 10 10 11 13 14 15 14 12 11 11 12 11 8 7 7 7 8 9 9 8 7 7 6 5 4 3 2 3 3 4 4 6 9 9 7 9 9 8 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 1 3 3 2 0 0 1 4 12 12 10 8 7 7 1 2 2 10 12 13 14 17 17 6 1 0 2 16 52 80 88 90 94 94 89 85 87 103 126 147 160 163 160 155 143 124 120 126 126 127 129 117 104 95 94 103 114 126 138 146 144 136 128 125 123 122 119 117 118 123 133 149 164 175 181 170 128 103 105 101 92 81 70 67 69 76 88 97 103 103 100 97 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 0 0 0 3 8 11 12 12 14 17 19 18 12 5 2 2 6 10 14 16 16 12 6 2 4 8 7 2 0 0 0 1 3 7 8 5 2 1 0 2 7 10 12 13 14 13 11 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 8 12 15 16 16 14 14 13 12 11 9 8 8 9 9 9 10 10 10 9 8 7 6 6 6 7 6 7 7 8 8 8 7 7 7 6 5 3 2 2 2 2 3 4 4 5 5 5 6 6 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 6 5 3 2 1 0 1 7 9 8 6 5 9 10 10 9 10 11 11 10 6 4 1 0 0 0 1 24 57 77 90 104 111 104 94 87 96 120 144 162 163 159 156 152 139 133 134 131 127 122 110 102 100 101 105 111 122 141 157 156 144 134 127 124 120 117 114 115 118 123 144 163 175 181 169 136 113 106 100 89 78 72 70 76 92 110 119 118 111 103 95 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 1 1 5 9 10 9 9 14 24 31 30 22 11 4 0 1 4 7 12 16 16 12 6 5 8 9 4 1 0 0 0 2 5 5 2 0 0 0 0 2 5 7 8 10 10 8 7 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 10 12 13 13 12 12 11 10 9 7 6 6 7 7 7 8 9 8 7 6 6 5 6 6 6 6 7 6 7 7 7 7 7 6 6 5 4 3 2 2 2 2 2 3 4 4 4 5 5 6 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 0 0 1 5 8 7 4 2 2 4 5 6 6 6 5 4 4 8 13 16 18 17 14 12 7 2 0 0 0 2 0 0 9 32 58 76 94 109 115 105 90 90 107 134 154 157 153 149 149 146 142 138 133 126 115 103 99 104 110 113 114 117 141 176 178 154 138 130 128 125 121 114 113 113 117 132 150 167 177 175 158 137 124 115 103 90 88 95 107 120 128 123 116 111 106 99 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 12 9 5 5 7 8 8 7 11 19 26 29 24 17 10 4 1 0 1 4 8 12 13 10 8 9 10 6 2 0 0 0 1 3 4 2 0 0 0 0 0 1 2 3 5 6 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 4 6 7 7 7 7 6 4 2 1 2 4 6 6 7 7 8 7 6 6 6 6 7 6 7 9 13 10 8 7 7 7 6 6 6 6 5 4 3 2 2 1 2 2 3 3 3 4 4 5 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 1 5 8 7 4 2 3 8 13 7 4 4 5 6 8 12 16 21 25 27 24 18 10 3 2 9 18 19 7 1 2 13 43 64 76 87 105 112 98 86 93 116 141 149 147 143 142 141 140 139 134 126 118 109 106 113 117 120 117 116 136 177 189 159 136 131 130 131 127 119 116 113 112 120 137 154 167 174 172 160 148 142 136 126 121 126 129 128 122 110 104 105 108 109 107 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 26 17 5 2 4 5 5 4 5 8 11 16 18 18 15 10 4 1 0 0 1 4 8 10 9 9 9 7 3 1 0 0 0 2 2 1 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 6 7 8 8 7 7 7 7 7 7 7 11 16 13 7 6 6 6 6 6 6 6 5 5 5 4 3 2 2 3 3 3 2 3 3 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 15 13 8 8 13 18 14 7 5 8 13 17 20 20 22 26 28 28 24 17 11 9 16 35 56 34 10 1 4 35 62 67 70 86 104 104 92 88 100 125 142 146 142 140 139 140 142 140 131 125 120 120 125 126 125 122 121 137 179 191 162 140 133 134 137 133 127 124 119 114 118 131 146 158 164 164 160 155 155 157 159 160 158 149 133 111 96 95 98 107 118 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 20 20 11 2 0 1 1 1 1 1 1 1 4 8 13 15 14 10 5 2 0 0 1 3 5 6 7 7 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 9 8 6 6 6 6 6 6 6 7 10 8 7 6 6 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 4 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 7 20 29 29 21 24 30 28 18 7 7 14 23 27 26 23 20 18 18 20 18 16 12 12 14 30 66 72 33 6 5 33 64 73 74 82 98 107 100 88 89 109 132 143 141 138 136 139 145 148 140 132 132 135 136 133 132 130 132 147 182 190 172 158 153 151 148 140 133 130 128 125 125 132 145 155 160 159 151 147 147 149 158 168 169 161 150 134 118 112 109 109 118 132 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 2 0 0 0 0 0 0 0 0 0 0 2 6 11 14 12 9 5 1 0 0 0 1 1 2 3 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 9 11 9 7 6 6 6 6 6 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 6 6 6 6 6 7 7 7 7 6 5 6 7 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 5 14 23 38 39 35 39 42 34 19 9 6 14 22 26 27 25 17 8 8 8 7 9 6 9 10 15 54 78 53 18 5 26 64 81 87 94 104 113 108 90 83 97 120 135 136 137 134 142 144 150 144 139 137 140 140 138 136 137 143 160 183 193 190 186 182 176 164 150 135 129 130 130 127 133 142 151 158 162 160 153 144 140 143 149 150 148 150 154 159 153 146 133 127 128 132 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 4 3 2 2 2 1 0 0 0 0 0 0 0 0 2 4 6 8 8 7 2 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 10 12 13 10 8 6 7 7 7 6 5 5 5 5 6 6 6 6 5 5 4 4 4 5 5 5 5 6 6 7 7 7 7 7 7 8 9 8 8 7 6 6 7 6 6 6 6 5 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 18 18 20 27 39 42 39 37 33 23 11 4 4 7 11 16 21 23 18 10 7 5 5 6 3 3 5 10 26 55 55 32 15 24 54 79 95 107 115 120 114 97 86 93 108 125 134 140 141 139 138 139 140 138 137 139 138 135 135 137 145 161 180 195 202 204 201 196 184 163 139 124 122 123 124 127 134 142 153 169 178 173 158 143 137 133 126 121 122 129 142 158 166 163 152 141 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 18 14 11 9 7 4 1 0 0 0 0 0 0 0 0 0 0 2 4 5 3 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 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 8 10 11 13 14 13 10 8 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 7 8 8 8 8 7 7 8 7 6 5 5 5 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 1 2 1 1 2 1 1 1 3 5 11 18 20 20 19 23 37 47 43 31 14 4 1 0 2 3 3 5 11 18 18 8 7 5 3 5 5 4 3 5 13 28 40 39 29 26 42 70 90 107 122 130 125 105 90 92 99 113 130 141 149 147 138 134 134 134 134 132 129 127 128 133 143 159 174 188 198 201 198 195 191 178 149 123 113 114 120 126 132 139 152 173 186 186 174 155 140 129 118 109 104 104 111 136 151 159 157 150 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 28 27 25 24 20 15 9 4 1 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 1 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 4 6 9 10 11 11 11 11 12 11 10 9 8 7 7 7 7 8 7 6 6 7 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 6 6 7 8 7 7 8 7 9 9 7 6 5 5 5 5 5 5 5 4 2 1 0 1 1 0 1 1 2 3 6 4 3 5 7 9 8 8 10 11 12 14 15 16 17 20 31 45 47 36 15 3 2 2 2 1 0 1 5 10 19 17 9 5 2 2 5 8 4 1 4 10 21 32 35 31 36 63 81 96 118 136 140 117 94 90 92 99 113 129 143 152 152 146 140 137 132 125 120 117 120 127 138 154 168 176 183 185 181 183 185 180 157 129 115 116 129 142 147 147 154 170 180 184 182 168 151 132 120 113 107 104 110 123 134 140 141 139 134 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 17 20 23 26 26 22 16 11 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 2 4 8 10 11 12 11 11 11 10 10 10 9 8 6 6 7 8 9 8 7 6 6 7 6 5 5 4 4 5 5 4 4 4 4 5 5 6 6 6 6 6 7 7 7 8 8 10 10 8 6 5 5 5 5 5 5 5 5 3 1 0 1 2 2 2 3 5 6 11 10 9 10 12 14 16 17 16 13 10 8 7 9 14 17 23 35 44 43 35 27 22 23 16 7 3 3 6 9 13 16 13 7 3 1 3 7 9 7 2 2 7 17 25 29 34 56 76 86 104 130 144 132 107 92 88 89 94 105 123 143 154 153 148 145 141 131 122 115 115 118 126 141 152 158 163 164 162 167 172 168 153 135 122 124 143 163 166 154 149 159 167 173 177 170 155 136 123 117 115 116 119 124 127 129 131 131 128 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 13 17 22 23 22 20 17 12 6 2 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 4 4 6 8 10 12 12 11 10 10 10 10 9 8 8 7 7 7 8 9 8 8 7 6 6 6 5 4 4 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 8 9 10 10 9 7 6 5 5 5 6 6 6 5 4 3 2 1 1 0 2 4 6 11 16 16 15 15 16 18 19 19 18 14 10 5 1 1 5 13 17 23 30 35 38 44 49 52 42 23 10 9 12 13 14 18 16 9 5 2 1 3 7 10 5 0 1 4 8 13 22 37 63 79 92 116 139 142 123 100 89 86 83 85 94 112 128 138 142 143 144 144 135 126 120 118 118 124 131 137 142 146 148 152 155 150 140 135 130 132 156 174 177 158 140 139 145 154 159 156 145 131 120 115 118 122 124 122 120 122 126 131 132 123 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 13 16 19 22 20 15 8 2 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 1 1 1 1 0 0 1 2 3 4 4 4 4 3 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 1 3 5 5 5 5 6 7 9 10 11 10 8 7 8 8 9 8 7 7 7 7 8 9 8 6 6 6 6 6 5 5 4 4 3 4 4 3 4 4 5 5 6 3 2 3 4 5 6 7 7 7 7 8 9 9 8 6 6 5 5 5 6 6 6 5 5 5 4 3 2 3 4 5 7 14 18 19 19 19 20 20 20 19 17 14 10 4 0 0 1 8 14 18 18 21 22 22 34 43 41 27 13 11 14 14 15 21 18 8 7 4 0 0 2 7 6 0 0 0 1 2 7 14 35 58 76 99 124 137 132 114 97 87 82 79 82 90 101 114 125 132 141 142 137 133 127 123 120 121 122 123 128 135 140 142 143 141 135 137 140 147 172 180 182 164 147 137 135 139 143 143 137 128 117 112 117 125 126 123 119 119 121 130 134 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 17 17 16 13 11 10 10 12 12 10 4 3 4 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 0 0 0 1 2 3 3 3 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 7 8 8 8 8 8 7 6 6 7 7 6 7 7 7 7 7 7 6 5 5 6 6 5 5 5 5 4 4 6 7 5 4 4 5 5 3 1 0 0 0 2 4 6 7 7 6 6 7 7 6 5 5 4 5 5 6 6 5 5 5 6 5 5 4 5 6 7 9 14 19 20 21 21 21 19 17 16 15 12 9 2 0 0 0 3 8 16 20 23 23 19 15 16 17 12 6 5 8 13 20 22 18 10 8 6 4 2 0 1 3 1 0 0 0 0 0 4 12 28 51 75 100 121 131 122 107 90 81 78 78 80 84 92 103 116 124 126 124 124 124 125 124 124 122 120 123 127 131 133 138 141 142 146 152 167 181 187 184 173 161 151 142 136 134 133 132 126 117 112 116 124 129 126 122 120 118 128 135 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
15 19 21 22 21 16 12 8 6 5 4 3 4 7 7 5 3 4 4 1 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 2 2 3 3 2 0 0 0 0 0 2 2 3 3 3 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 7 6 6 6 6 6 6 6 6 7 7 6 7 7 6 6 6 6 5 5 5 6 6 5 5 6 5 5 6 12 12 6 4 4 5 4 1 0 0 0 0 0 1 2 5 8 8 7 6 6 5 5 4 4 5 5 6 5 4 4 5 6 6 6 6 6 8 11 14 17 19 20 21 20 17 14 12 11 11 8 7 2 1 0 0 0 2 11 18 28 33 31 20 12 9 8 3 0 2 10 27 38 28 12 7 6 6 4 0 0 0 0 0 0 0 0 0 1 3 10 24 44 73 99 119 119 112 89 79 74 74 72 72 75 83 95 105 109 109 111 116 122 128 127 122 118 119 121 123 124 134 146 150 152 157 173 186 188 182 173 163 154 144 135 129 127 127 127 123 116 117 126 133 132 128 125 121 126 132 133 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 14 18 23 25 23 18 13 8 5 4 5 6 6 7 6 6 8 7 2 1 1 2 1 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 0 0 0 0 1 2 3 3 3 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 5 5 6 6 6 6 6 6 6 5 7 16 14 6 4 4 5 3 1 0 0 0 0 0 0 0 4 8 11 11 10 8 6 6 5 5 6 6 7 5 3 4 5 6 6 6 7 8 10 12 16 19 20 20 20 18 13 8 7 7 7 6 8 9 9 6 2 1 1 7 13 22 31 30 22 12 8 8 3 0 0 5 29 51 41 16 8 4 5 5 1 0 0 0 0 0 0 0 0 0 0 2 7 19 46 74 96 109 113 93 78 70 68 65 62 59 62 71 84 95 100 102 106 114 126 132 128 118 115 117 122 121 132 147 154 154 156 168 179 177 167 159 150 142 136 130 126 128 131 132 133 130 132 140 145 142 136 133 131 128 128 132 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 9 11 14 19 21 21 18 13 9 8 9 9 8 7 6 6 5 4 1 2 4 7 6 3 1 0 2 4 5 4 3 3 3 2 1 1 0 0 1 0 0 0 0 1 2 3 5 7 6 4 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 2 3 3 3 3 3 3 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 7 7 6 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 7 15 12 5 4 4 4 4 2 1 0 0 0 0 0 0 2 7 11 13 13 12 11 9 8 8 8 8 6 4 2 1 2 4 5 7 7 8 10 10 12 14 16 15 17 16 13 9 7 6 4 6 11 15 15 13 10 7 5 8 12 16 23 26 17 4 1 2 0 0 2 11 40 58 46 24 10 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 20 42 68 91 108 104 84 68 61 57 53 48 46 50 60 79 94 97 96 98 115 130 137 127 117 115 120 126 136 149 157 159 160 162 161 149 142 140 132 127 122 115 116 123 130 137 143 146 151 157 161 156 144 139 140 135 127 127 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
4 5 5 6 7 11 14 15 15 13 12 12 12 11 10 8 6 3 1 0 0 0 2 5 6 4 3 5 7 9 10 8 6 5 5 5 7 9 9 8 4 1 0 0 3 5 7 10 14 14 11 7 3 2 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 2 2 2 1 2 2 3 4 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 5 4 5 6 6 6 6 5 4 4 5 5 6 7 8 8 7 6 6 6 6 6 6 6 6 6 6 5 5 7 12 10 6 5 5 5 4 5 4 2 1 0 0 0 0 2 6 9 12 13 13 12 11 8 7 6 5 3 1 0 0 0 1 1 1 3 4 5 6 7 9 11 12 12 12 11 9 7 4 3 7 13 20 24 22 16 13 12 12 14 16 23 31 23 5 0 0 0 1 6 21 53 65 49 26 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 36 62 92 109 96 71 54 48 43 38 37 38 43 55 78 90 91 89 101 120 136 137 127 118 119 129 145 158 165 167 169 164 145 122 121 127 125 120 111 100 100 113 128 138 145 147 149 154 160 165 154 143 138 138 132 126 123 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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