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 4 4 5 4 3 3 2 2 2 2 2 3 3 2 3 3 3 2 2 3 4 4 5 5 4 3 3 3 4 5 5 6 6 7 8 8 8 7 6 6 6 7 7 6 5 4 4 4 4 5 5 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 5 5 4 4 4 4 5 5 5 6 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 3 3 3 3 5 5 5 4 4 5 4 4 3 3 3 3 4 5 6 6 7 7 6 7 7 7 7 6 5 6 6 6 7 8 8 8 7 7 7 7 6 5 5 5 6 7 7 6 6 5 4 4 1 -0 2 2 3 4 2 -4 6 14 10 5 1 -1 3 6 5 5 9 8 8 10 7 4 5 6 7 10 9 5 5 8 9 7 5 4 5 6 4 5 7 9 9 10 10 9 8 5 2 2 5 8 8 5 4 6 8 7 3 1 3 5 8 9 8 7 7 11 18 20 17 10 5 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 4 5 5 6 6 7 9 14 13 8 5 5 4 5 5 5 4 4 3 3 4 4 4 4 5 6 7 6 5 3 0 -1 2 5 2 2 5 6 5 4 4 3 3 3 5 5 6 6 5 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 4 3 3 3 3 4 5 5 4 4 5 5 5 4 4 4 4 4 4 5 5 6 7 8 9 10 10 10 9 8 8 8 7 6 6 7 14 19 18 14 9 6 8 6 3 2 1 1 -3 -7 0 1 -3 -3 -1 1 -2 -7 -8 -10 -12 -13 -11 -8 -1 8 13 15 14 14 17 21 24 24 21 16 9 7 9 13 14 14 12 10 11 11 6 4 6 6 10 16 23 24 18 13 10 8 7 6 6 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 4 5 5 4 4 2 2 1 2 3 3 3 2 2 2 2 2 2 2 2 3 4 5 5 3 3 3 3 4 5 6 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 4 4 4 5 5 4 3 3 4 4 4 3 4 4 4 3 3 3 3 2 2 2 3 3 3 2 3 3 3 3 4 4 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 4 4 5 4 4 4 4 5 5 5 4 3 3 3 4 5 5 4 4 5 5 4 4 3 3 3 3 4 6 7 7 8 7 6 6 7 7 7 6 5 6 6 7 8 9 9 9 8 7 8 8 7 6 6 5 5 6 7 6 6 5 5 3 -1 2 9 7 8 9 4 -0 12 11 8 5 4 4 10 11 7 6 8 10 12 10 7 9 9 8 10 11 8 4 6 9 10 8 5 4 6 8 9 9 10 9 7 8 11 12 8 3 1 3 6 8 9 7 5 6 6 4 3 5 6 7 9 9 8 7 7 9 13 14 11 6 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 4 4 4 4 5 5 5 5 5 5 5 4 3 3 2 3 3 4 4 5 7 10 16 15 10 6 5 5 5 5 5 6 6 5 4 4 5 4 5 6 7 7 7 5 4 -1 -5 -1 5 4 0 1 6 8 5 4 4 4 3 4 5 5 7 6 6 4 3 3 4 4 4 3 4 3 3 4 4 4 4 4 4 4 5 5 6 7 6 5 3 2 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 7 8 9 10 10 10 10 9 9 8 7 7 7 8 13 16 13 11 9 10 9 7 8 7 4 2 2 4 5 6 7 7 5 1 -3 -7 -11 -12 -10 -8 -7 -4 3 8 10 10 10 9 11 12 13 13 9 4 4 7 10 13 13 10 8 6 2 -1 -1 1 6 12 22 33 31 21 13 8 7 6 5 4 5 6 6 6 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 4 5 5 4 3 2 2 1 2 3 3 2 2 2 2 2 2 1 2 2 3 4 4 4 3 3 3 4 4 5 6 6 7 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 3 3 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 3 3 3 3 4 5 5 4 4 5 5 5 4 4 3 3 4 5 6 7 8 7 7 6 6 7 7 7 7 6 6 7 7 7 8 9 9 8 8 8 8 7 7 6 6 5 5 6 7 6 5 4 2 1 6 8 8 11 10 1 2 11 8 8 7 7 11 16 13 9 6 4 6 8 7 7 9 8 7 9 9 6 4 7 8 9 8 5 5 7 10 13 14 14 9 4 5 10 12 9 3 2 4 7 7 7 8 9 6 1 -1 3 7 8 8 8 7 6 5 5 7 10 10 7 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 3 2 1 1 1 1 2 4 5 10 23 25 12 6 6 6 6 5 5 6 6 5 5 5 5 5 6 7 7 7 7 6 5 3 -5 -8 0 6 1 -4 2 7 7 5 4 4 3 4 5 5 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 6 6 5 4 3 3 3 4 4 5 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 7 8 8 9 8 9 8 7 7 7 6 6 8 10 10 11 10 10 9 8 8 7 6 6 7 8 9 10 9 9 7 5 3 -1 -2 -1 2 3 3 3 5 6 7 7 6 6 6 5 5 6 5 4 4 6 9 10 9 7 5 4 2 0 -0 4 9 11 22 37 35 22 12 7 5 4 3 4 5 6 6 6 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 2 3 5 5 5 5 3 2 1 1 2 3 2 2 2 3 2 2 1 1 1 2 2 3 4 3 3 4 4 3 4 5 6 6 6 6 5 6 6 6 6 5 5 5 4 4 4 4 3 3 4 3 3 3 3 4 4 4 4 3 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 3 4 4 4 3 4 5 5 5 5 4 4 4 4 5 4 5 4 4 5 5 5 5 5 4 5 5 4 5 5 5 4 3 3 3 3 4 4 5 4 4 5 5 4 4 4 3 3 4 6 6 7 7 7 7 7 8 8 9 9 8 8 7 7 6 7 7 7 8 8 8 7 8 8 8 7 6 6 5 6 7 6 5 4 -1 -6 -3 1 5 6 5 0 0 5 8 9 7 7 12 14 9 7 7 4 3 3 5 8 6 6 5 6 7 4 3 5 6 7 6 6 7 9 11 13 16 17 11 5 5 7 9 10 7 4 4 7 5 3 5 10 7 1 1 5 9 10 9 7 5 5 4 5 8 8 7 5 4 4 4 4 4 3 4 4 4 5 5 5 6 6 6 6 5 5 6 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 3 2 1 -0 -1 -1 -0 1 2 4 8 27 30 11 5 6 6 5 5 4 5 5 6 6 6 6 6 7 7 7 7 6 6 5 5 0 -9 -7 5 6 -4 -3 4 7 6 5 3 3 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 5 5 6 6 6 6 4 3 3 3 4 4 4 4 5 5 5 6 5 5 5 4 4 5 5 4 5 5 5 6 6 6 6 6 5 5 5 6 5 5 6 7 9 9 8 7 6 6 5 5 6 8 10 12 11 9 8 8 10 11 8 6 6 7 8 8 7 6 7 6 6 6 6 6 6 5 6 6 6 6 6 7 7 6 6 5 5 5 3 3 7 9 9 14 25 26 16 10 8 6 4 4 4 4 4 5 6 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 3 3 3 5 6 5 4 2 1 1 2 3 2 2 2 2 2 2 2 2 1 1 1 2 3 3 3 3 3 3 3 3 4 6 7 5 5 5 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 5 5 5 4 4 3 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 3 4 5 6 7 7 7 7 8 9 9 9 9 9 9 8 7 7 6 6 6 7 7 8 8 7 8 8 8 8 7 6 6 6 6 7 6 4 -4 -20 -24 -8 4 2 2 5 5 2 7 8 7 4 5 6 6 7 7 6 5 5 7 7 5 5 4 3 4 4 4 5 5 6 6 6 8 10 12 11 12 12 9 6 6 6 5 8 8 4 1 -1 -1 0 4 9 10 6 6 9 10 10 9 6 4 3 4 6 9 7 4 4 4 4 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 6 6 5 4 4 4 4 3 3 2 1 0 -1 -1 -1 -0 0 1 3 7 22 27 13 6 5 5 4 4 4 4 5 6 7 6 7 7 7 6 6 6 6 6 5 4 3 -3 -10 -4 7 4 -2 2 6 6 5 4 3 3 3 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 5 4 4 3 3 3 4 3 3 4 4 5 5 5 5 4 4 4 5 4 4 4 3 4 4 4 4 3 2 2 3 4 4 4 4 5 6 6 6 5 5 5 5 5 4 6 10 12 11 10 8 8 14 20 18 14 9 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 6 6 5 4 4 5 5 5 5 5 5 8 8 9 12 13 10 7 6 7 7 6 5 4 3 4 5 6 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 4 3 3 3 4 5 5 4 3 2 2 2 2 1 1 1 1 1 1 2 3 2 2 1 1 1 1 2 3 4 3 3 2 3 5 6 6 5 5 5 5 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 2 3 3 4 4 4 3 3 4 4 3 3 3 3 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 4 4 4 4 4 3 3 4 4 4 4 6 7 7 7 7 7 9 9 9 10 9 9 9 8 7 6 6 6 6 7 7 8 8 7 7 7 8 8 7 7 6 5 6 6 6 5 -1 -13 -17 -6 0 -2 2 9 12 6 6 6 5 4 4 4 6 7 7 6 7 7 8 6 4 4 4 3 3 5 8 9 6 5 5 6 8 9 8 7 6 6 5 5 4 3 1 1 2 1 -2 -7 -4 4 8 7 8 10 10 10 10 9 7 5 4 3 3 4 6 5 4 4 3 3 3 4 4 4 4 4 4 5 5 6 5 6 6 6 6 6 6 6 5 5 5 6 7 7 7 6 6 6 5 4 4 3 2 1 1 1 1 1 1 1 1 2 3 6 18 29 19 7 5 4 4 4 5 5 6 7 7 7 7 7 6 6 5 5 5 5 5 4 4 2 -5 -10 -5 2 3 3 4 4 5 4 4 3 3 3 3 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 5 5 6 6 6 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 1 -1 -2 -2 1 2 1 2 3 3 4 5 4 4 4 4 4 3 4 7 10 10 11 9 10 16 21 21 15 8 4 4 5 6 5 5 6 6 6 6 6 6 7 7 8 9 8 6 5 4 4 4 5 5 4 4 4 3 4 8 7 6 6 8 7 4 5 6 7 5 4 3 4 5 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 5 5 4 3 3 4 5 5 4 4 3 2 2 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 2 3 3 2 2 3 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 4 4 4 3 3 4 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 7 7 7 7 8 9 9 8 9 10 10 9 8 6 6 6 6 6 6 7 8 8 7 7 7 8 8 8 7 6 5 6 6 7 7 4 1 3 8 4 -4 -5 1 9 10 6 4 5 6 6 6 7 7 5 5 7 8 8 6 6 5 6 6 6 7 9 7 5 4 3 5 7 6 5 4 3 3 0 -1 -2 1 3 -1 -4 1 4 0 -1 6 9 9 9 11 11 9 8 8 7 5 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 12 30 27 10 6 4 4 5 6 7 7 8 8 8 7 6 5 5 4 4 4 4 4 4 4 5 2 -6 -13 -8 1 4 4 3 4 4 4 4 3 2 2 3 4 4 5 5 5 4 4 3 3 3 3 2 2 2 2 3 3 4 3 3 4 4 4 4 5 5 6 6 5 5 4 4 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 3 3 2 1 0 -2 -5 -6 -5 -2 0 2 4 4 4 4 4 4 4 3 3 4 5 5 5 6 7 8 8 11 14 13 11 5 4 4 4 5 5 5 5 4 4 3 4 5 6 5 6 7 9 8 7 6 4 3 3 3 3 3 3 2 1 3 5 4 4 4 5 6 5 4 3 4 5 3 4 5 5 6 6 5 4 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 3 5 5 4 4 3 4 4 5 5 5 4 3 3 2 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 2 2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 4 3 3 2 3 4 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 5 4 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 3 3 3 4 5 6 6 6 6 7 8 8 8 8 9 10 11 10 8 6 5 6 5 5 5 5 6 7 7 6 7 7 8 8 8 6 6 6 6 6 7 7 5 4 6 9 4 -3 -2 4 7 7 6 6 5 5 4 6 5 4 4 5 6 7 8 9 8 9 9 8 7 6 4 4 2 1 1 3 3 3 6 7 5 1 -2 -4 -2 7 9 1 4 8 5 4 6 10 11 9 11 11 8 7 7 6 5 4 6 7 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 6 5 4 4 4 4 4 5 5 4 4 5 5 5 4 3 7 26 30 15 8 6 5 6 7 8 8 7 7 7 7 6 6 5 5 5 4 5 4 4 4 5 4 -0 -10 -13 -3 4 4 4 3 3 4 4 4 3 1 1 3 4 4 4 4 5 5 4 4 3 2 2 2 1 1 2 3 3 4 3 4 4 4 4 5 5 5 5 5 5 5 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 3 1 -2 -6 -6 -2 1 2 4 5 6 5 5 4 4 4 3 4 5 7 7 6 4 3 3 5 9 8 5 3 3 4 4 4 4 5 5 4 3 1 -0 0 2 3 4 5 6 7 8 7 6 4 4 3 2 2 3 2 1 0 1 2 3 4 4 5 5 4 3 2 2 3 4 4 4 5 5 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 5 5 4 4 4 4 4 5 5 5 4 3 3 3 3 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 1 2 3 3 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 4 4 2 2 2 4 5 5 4 4 4 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 4 4 4 4 4 5 4 3 3 4 3 4 3 4 4 4 4 3 4 5 6 6 6 6 6 6 7 7 7 7 9 10 11 10 8 6 5 5 4 4 4 4 5 7 7 7 7 7 8 8 8 7 6 6 6 6 7 8 6 1 -3 2 8 8 9 8 4 3 4 4 3 2 1 2 4 3 4 4 4 6 8 9 9 10 9 7 6 5 3 2 1 -1 -0 1 2 6 8 9 9 7 4 1 2 5 4 1 3 7 5 3 4 10 13 11 11 11 8 6 5 4 4 5 7 8 6 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 14 23 21 13 9 7 6 8 9 9 7 6 6 6 6 6 6 7 7 6 5 6 6 5 5 5 2 -4 -11 -5 3 4 4 4 4 4 4 5 4 3 2 2 3 3 4 4 5 5 5 4 4 3 3 3 3 2 1 1 2 4 4 3 4 4 5 4 4 5 5 5 5 6 5 4 3 2 1 1 1 1 1 2 2 2 3 3 3 3 3 3 3 4 6 6 3 -2 -1 2 3 3 4 4 5 5 5 5 5 6 6 6 6 7 8 9 8 5 3 5 6 4 3 3 4 5 5 4 4 4 5 5 4 1 0 1 1 1 2 3 4 5 6 6 6 5 4 4 3 3 2 1 1 1 1 2 3 4 4 5 5 3 2 2 1 2 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 10 8 5 5 5 4 4 4 3 4 5 5 6 5 4 3 3 3 3 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 2 3 3 3 4 4 4 5 4 4 4 5 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 2 2 3 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 5 6 6 7 7 7 7 8 9 9 10 9 7 5 5 4 4 4 4 5 6 7 8 7 7 7 8 8 7 6 6 6 6 8 8 7 4 -1 -0 6 12 17 12 5 3 2 1 -0 -2 -1 2 4 4 5 5 3 4 6 7 8 9 9 7 6 4 3 3 3 3 3 4 5 8 10 9 8 6 4 3 6 4 -3 -4 0 1 1 -1 -2 4 12 14 12 11 8 4 2 3 3 5 7 6 5 4 3 3 4 5 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 6 6 5 5 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 5 5 4 4 5 11 18 15 11 9 8 9 10 9 8 7 7 6 6 7 8 7 8 7 5 7 8 7 6 5 3 -1 -6 -5 2 4 4 4 4 3 4 5 5 5 3 3 3 3 3 3 4 5 5 5 5 4 4 4 5 4 2 -1 -1 1 3 3 3 3 4 4 4 4 4 5 5 5 6 5 4 2 1 0 0 1 1 1 1 2 2 2 2 2 2 2 2 4 4 4 5 3 3 4 5 4 3 3 3 4 5 6 6 7 8 9 8 7 7 9 11 9 6 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 5 3 2 2 3 4 4 5 5 5 5 5 4 3 2 2 2 2 3 5 5 4 5 6 6 6 4 1 2 4 4 4 4 3 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 nan nan nan nan 12 11 8 5 4 4 3 2 3 3 4 5 6 5 4 4 3 3 3 3 3 3 3 2 3 3 3 3 2 2 2 2 2 2 3 2 1 1 2 2 2 2 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 5 5 5 5 4 4 4 5 5 5 5 4 4 5 5 4 5 5 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 6 5 5 6 6 7 7 7 7 7 7 8 9 9 8 7 5 4 4 4 4 4 6 7 8 8 8 7 8 8 8 6 6 5 6 8 8 8 7 6 5 7 14 17 11 6 4 2 1 0 -3 -2 1 3 4 6 6 4 3 5 5 6 7 6 5 4 4 4 6 7 8 8 6 7 8 8 6 4 2 0 0 8 9 -0 -4 0 -2 -6 -6 -4 3 8 11 11 9 5 3 4 5 4 4 5 5 4 4 3 3 4 4 4 4 3 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 5 5 5 5 5 4 4 5 4 4 4 5 5 4 4 4 5 8 10 9 9 9 11 11 10 8 8 10 10 9 9 9 7 6 7 6 6 7 7 6 6 4 1 -3 -2 2 4 4 4 4 4 3 4 5 6 6 5 4 4 4 3 3 4 4 5 5 5 5 4 6 6 6 1 -5 -5 -1 2 3 2 3 4 4 4 4 4 4 5 5 6 5 4 2 -0 -1 -1 -0 1 1 2 2 2 1 1 2 2 2 2 1 1 1 3 5 5 6 5 4 4 5 5 5 6 5 6 8 10 10 7 6 7 9 8 6 6 6 5 5 6 6 6 5 5 5 5 5 6 7 10 12 11 10 9 6 3 2 2 3 3 3 4 4 5 5 5 5 4 3 4 5 5 6 6 5 4 7 12 13 8 2 2 4 3 3 3 3 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 nan nan
nan nan nan nan nan nan 11 13 11 7 5 3 2 2 2 2 3 4 6 6 5 5 4 3 3 3 4 4 3 2 2 2 3 3 3 2 2 3 3 3 3 2 2 1 2 2 2 3 3 3 4 4 3 4 4 4 3 3 3 3 4 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 5 4 4 3 4 3 4 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 6 5 4 3 4 5 6 8 10 10 10 9 8 7 8 8 7 6 6 7 8 9 8 7 8 8 14 12 8 4 -1 -4 -0 2 0 -3 -1 2 2 4 5 3 3 5 5 5 5 5 4 4 5 8 11 9 8 7 5 6 7 5 3 -0 -0 2 3 9 12 3 -3 4 15 10 -1 -1 6 8 8 7 6 4 4 8 9 6 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 5 4 4 4 5 6 7 9 10 9 6 7 10 11 13 12 9 6 4 5 6 5 5 6 7 7 7 3 -0 1 4 3 4 4 4 3 3 3 4 5 7 7 5 5 6 5 2 2 4 4 4 4 4 4 4 5 9 8 -1 -11 -11 -4 1 2 3 3 3 3 3 3 3 4 4 4 5 5 4 2 -0 -1 -1 0 0 0 1 1 1 1 1 2 4 2 -1 -0 -1 2 4 4 5 6 7 7 6 6 5 5 5 6 6 8 8 7 5 5 5 5 5 6 6 6 5 6 6 6 6 5 5 4 4 5 6 9 11 10 7 6 4 3 2 2 3 2 2 3 4 4 4 4 4 4 4 4 5 6 6 7 5 3 5 12 15 10 6 3 3 4 3 4 3 2 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 10 11 10 7 5 4 2 1 1 2 3 4 6 6 6 5 4 3 3 3 4 3 3 2 1 2 3 2 2 2 3 3 3 2 3 2 2 2 2 2 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 2 2 2 2 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 7 6 6 6 6 7 7 8 8 7 7 7 7 5 3 3 3 5 7 9 11 13 12 10 8 8 10 11 8 6 6 7 8 9 10 8 4 -1 2 2 1 -0 -3 -6 1 3 4 -4 -3 2 4 5 4 3 2 5 6 5 5 5 6 8 10 11 11 8 5 4 4 5 6 5 4 1 -0 5 7 9 7 4 1 8 28 28 11 6 7 7 7 6 5 4 6 10 10 9 6 5 4 3 3 3 3 4 4 3 3 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 6 6 6 4 4 5 7 11 13 11 7 4 3 5 6 5 5 7 7 8 6 2 4 5 4 4 4 4 4 3 3 3 4 6 8 7 5 7 8 4 1 2 4 4 3 3 3 3 4 9 15 10 -5 -14 -12 -3 2 2 2 2 2 2 2 3 3 3 3 3 4 5 4 2 0 -1 -1 -0 -0 1 0 -1 2 1 1 4 2 -0 -1 -1 3 4 3 3 5 7 8 7 6 5 5 5 5 5 5 5 4 5 5 5 4 4 5 6 6 6 5 6 6 6 6 5 4 3 4 5 6 5 5 5 4 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 5 6 6 6 4 3 7 9 10 12 9 6 4 3 4 4 4 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 7 8 9 9 8 7 5 3 2 2 3 3 4 6 6 5 5 4 3 3 4 4 3 2 2 2 2 2 3 3 2 2 2 3 3 3 3 2 2 3 3 2 2 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 6 6 7 6 6 6 7 8 8 8 8 7 7 7 5 3 3 3 5 7 10 12 14 14 12 9 10 14 13 8 6 6 7 7 9 12 10 -1 -11 -9 -4 -5 -1 4 -0 3 1 5 -0 -0 4 7 5 4 4 3 6 6 6 7 7 8 10 12 11 8 7 5 3 4 5 6 6 6 3 0 3 5 6 5 2 0 5 20 22 12 9 7 6 7 6 5 4 5 7 10 9 6 4 4 3 3 3 3 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 3 2 2 3 5 8 8 7 4 3 5 8 8 7 6 5 6 6 5 5 6 5 4 5 4 4 3 4 3 3 5 8 9 6 5 10 10 3 -0 1 3 3 3 3 3 4 8 16 17 6 -4 -7 -4 2 3 2 2 2 1 1 2 2 2 1 1 2 4 5 5 4 2 1 0 2 4 2 -1 -0 -0 1 2 1 3 3 3 5 6 5 4 5 7 10 8 6 5 5 6 6 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 5 4 3 3 4 3 3 3 4 5 7 5 4 3 3 3 4 3 2 1 1 1 2 3 3 3 3 4 6 6 6 5 5 5 4 7 15 20 16 7 2 4 6 5 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 3 3 4 5 7 8 9 9 9 7 5 4 4 3 4 4 5 6 5 5 3 3 3 4 4 3 3 2 2 3 3 3 3 2 2 2 2 3 3 3 3 3 2 2 2 2 2 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 5 5 4 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 6 8 9 9 9 8 7 7 7 5 3 2 3 5 8 11 13 15 16 14 11 10 12 10 8 6 6 7 8 9 12 10 0 -7 -5 1 -2 2 7 5 3 2 4 6 4 6 6 3 5 6 5 7 8 8 9 10 10 10 9 8 7 6 5 3 3 5 5 5 4 0 -1 -0 2 4 5 3 -1 -1 7 10 8 9 8 7 6 6 6 5 5 4 5 5 5 4 3 3 3 3 4 4 4 3 4 4 4 4 4 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 4 4 3 2 2 2 3 4 4 3 4 7 9 9 8 6 5 6 6 6 6 6 6 5 5 4 4 5 4 4 3 3 6 11 9 4 8 16 10 -2 -4 0 2 2 3 3 3 6 13 17 11 3 1 -0 3 3 3 3 2 2 1 -1 0 2 2 0 -0 1 5 8 10 11 9 7 6 6 5 3 2 3 2 2 2 4 7 7 6 7 6 4 4 6 10 10 6 5 6 9 9 6 5 7 7 6 6 6 7 6 6 5 6 6 5 6 6 6 6 6 5 5 4 4 3 3 4 4 7 7 6 4 4 4 4 5 5 4 2 0 1 2 3 3 2 3 4 5 6 6 6 6 5 5 6 12 20 26 16 4 3 6 6 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 3 3 3 4 4 6 7 8 10 10 9 7 5 4 4 4 5 6 6 6 5 4 4 4 4 4 4 3 2 2 2 3 3 2 2 2 2 3 3 4 4 3 3 2 1 2 2 2 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 3 3 3 3 3 3 2 3 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 5 4 4 5 5 5 5 5 6 7 7 7 7 6 7 8 8 9 9 8 7 7 7 5 2 2 3 5 8 11 14 16 16 15 12 9 7 6 6 6 6 7 8 10 12 9 4 1 3 8 9 8 1 7 4 2 1 10 7 7 5 4 6 8 7 5 6 8 9 10 10 9 8 7 6 5 5 4 3 4 4 1 -2 -1 2 2 3 5 6 2 -2 -1 2 6 5 7 8 7 7 5 5 4 4 4 3 2 3 4 3 2 3 3 4 4 4 4 4 3 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 7 6 5 5 5 5 5 4 4 3 3 3 3 3 2 2 2 3 5 7 8 7 7 10 10 8 6 6 6 6 5 5 5 5 6 5 5 4 3 4 10 12 6 6 18 16 2 -5 -2 1 1 1 2 3 4 8 13 12 5 1 3 4 3 4 4 5 5 3 0 0 2 3 1 -1 0 4 10 14 14 11 9 9 7 5 5 5 5 4 3 3 4 5 6 6 6 6 5 2 -1 4 8 5 4 4 7 9 7 6 8 8 7 7 8 8 8 7 7 6 6 5 5 6 6 7 7 7 6 5 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 3 3 4 3 3 4 5 5 6 7 7 6 6 6 6 11 20 17 9 6 6 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 3 3 3 4 5 7 9 10 8 7 5 5 4 5 5 6 6 6 5 4 4 4 5 5 3 3 3 2 3 3 3 3 3 3 3 3 3 4 3 3 2 1 1 2 2 2 3 2 2 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 6 6 7 7 8 7 7 7 8 8 7 8 9 8 8 7 4 2 1 2 4 7 10 13 16 16 15 12 8 6 5 5 5 6 7 7 8 10 9 6 4 5 11 19 17 4 9 5 -1 -3 7 7 7 6 8 9 9 5 2 3 6 8 8 8 8 7 6 6 6 6 5 4 5 3 -2 -5 1 9 8 5 5 5 1 -2 -0 4 6 5 5 6 6 6 5 4 3 3 5 4 3 4 4 3 2 2 3 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 5 5 5 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 3 3 4 5 7 12 15 13 7 5 4 5 4 4 4 5 6 6 6 5 4 3 6 9 6 7 18 19 9 3 3 3 -0 -2 -1 0 2 4 7 9 5 2 3 2 3 3 5 9 12 10 6 4 3 3 3 1 1 5 9 12 12 7 5 8 7 4 4 5 5 4 3 2 3 5 4 4 4 4 6 3 -2 0 4 4 4 3 5 7 7 7 8 7 4 4 7 8 8 8 7 7 6 5 5 5 7 8 8 8 8 7 5 5 4 4 3 4 4 4 4 4 5 5 5 5 5 6 7 5 4 4 5 4 3 3 5 5 5 5 6 7 8 7 6 7 7 11 12 10 9 8 6 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 4 4 3 3 2 2 2 3 6 8 8 8 7 6 5 5 6 6 7 6 6 4 4 4 5 5 4 4 3 2 2 3 3 4 3 3 3 4 4 3 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 2 3 4 4 4 4 3 2 3 2 2 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 5 6 6 6 6 8 8 8 8 8 8 8 7 6 6 8 10 9 6 2 -1 0 2 4 5 8 13 16 17 14 11 8 6 5 5 5 6 6 6 6 8 8 7 5 6 12 22 16 8 8 10 -0 -0 6 6 8 8 10 10 9 2 -2 2 5 6 7 7 6 6 5 5 5 6 6 6 6 6 4 1 2 6 6 4 4 5 3 1 2 6 7 5 4 5 5 5 4 3 3 4 8 5 4 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 2 2 3 4 5 10 16 15 9 4 3 3 4 3 3 4 5 6 6 5 4 4 4 5 5 8 16 21 15 9 6 4 0 -3 -6 -5 -1 0 2 5 5 4 2 2 3 2 6 14 20 18 10 5 4 3 3 3 5 7 8 10 11 9 6 5 4 3 4 6 5 3 3 3 4 3 1 2 1 3 7 6 5 4 5 5 5 5 5 6 5 5 8 8 4 2 3 6 8 7 7 8 7 6 5 5 6 7 8 8 8 7 7 6 5 4 4 3 3 3 3 4 4 4 5 6 7 8 7 6 5 5 5 5 4 4 4 5 4 4 5 8 9 8 7 5 5 7 10 9 9 9 8 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 2 3 3 4 4 3 3 2 2 2 3 5 7 7 6 6 6 5 6 7 7 8 7 6 5 4 4 4 5 4 3 3 3 4 3 3 3 4 4 4 4 4 3 3 3 2 2 2 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 3 3 2 2 2 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 6 6 5 5 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 6 6 5 5 5 5 5 6 6 6 7 7 8 9 9 9 10 9 6 4 4 6 9 7 4 0 -1 0 2 4 5 8 12 16 16 13 10 7 6 6 6 6 6 6 6 6 7 7 7 7 5 11 19 8 5 3 11 7 11 8 5 7 7 10 9 7 -0 -4 2 6 5 5 5 5 5 5 3 3 5 5 5 7 9 8 5 3 3 3 4 4 4 5 5 7 8 7 5 6 7 5 5 5 4 3 5 8 7 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 3 2 3 3 3 4 7 10 12 9 4 2 2 3 3 4 4 5 5 4 4 4 3 4 4 4 6 13 21 18 10 5 3 2 1 -4 -5 -4 -6 -6 -1 5 6 4 3 2 3 7 12 17 17 10 4 3 5 5 5 7 8 8 9 9 9 7 5 5 6 5 6 4 4 6 6 2 -0 1 4 2 1 6 8 9 7 6 5 5 5 5 6 6 6 7 7 5 4 4 5 5 6 7 8 8 8 7 6 6 6 7 8 8 8 8 8 7 6 4 2 2 3 4 4 4 4 4 5 7 8 7 7 6 6 6 6 5 4 4 5 4 4 5 7 9 8 8 6 5 6 6 7 7 7 7 10 13 12 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 3 3 3 4 4 3 3 3 2 2 3 4 5 6 6 5 5 5 7 8 8 8 8 7 6 5 4 5 4 4 4 5 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 2 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 6 7 8 10 11 11 11 11 9 6 3 2 4 6 5 2 0 0 1 2 4 6 8 12 16 15 11 9 7 6 6 6 6 6 5 6 9 8 6 7 7 3 7 12 5 4 4 3 14 16 5 4 3 5 6 7 4 1 1 7 8 6 5 5 5 5 4 4 4 4 4 4 6 8 7 5 4 3 4 4 3 3 6 7 9 9 8 6 8 9 7 5 5 4 4 6 6 4 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 4 4 5 5 4 5 5 5 5 5 5 4 5 5 4 5 5 4 5 4 4 5 4 3 3 3 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 3 2 3 3 4 5 6 7 8 5 3 2 2 4 5 5 4 4 3 3 3 3 3 4 5 5 9 17 20 13 7 4 2 3 3 2 -3 -11 -14 -8 2 9 8 6 4 5 7 8 9 9 8 5 4 4 5 7 8 7 7 7 8 8 8 5 5 7 6 3 2 4 8 4 1 0 3 7 5 1 4 7 9 9 8 6 5 5 5 6 6 7 8 7 4 4 4 5 5 5 6 7 8 9 9 8 7 6 6 7 7 7 8 8 8 7 5 3 3 4 4 5 4 4 3 4 6 6 7 7 7 7 7 7 6 5 5 5 5 5 5 5 7 8 7 6 5 5 5 5 6 5 5 8 15 17 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 2 2 3 3 3 3 3 3 2 2 3 4 4 5 5 5 5 5 7 8 8 8 9 8 7 5 5 4 4 5 5 5 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 3 3 3 3 4 5 5 6 5 5 4 3 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 6 5 5 5 4 4 5 6 5 5 5 4 5 6 5 5 5 5 5 4 5 6 5 5 5 5 4 5 6 7 7 7 9 12 13 13 14 13 10 5 2 1 3 5 5 2 1 2 2 3 4 6 8 13 16 15 11 8 7 6 6 5 6 6 5 7 9 9 6 7 9 3 3 4 5 4 4 -0 11 12 4 4 -1 1 3 6 3 4 8 12 11 8 6 5 5 5 6 9 6 4 2 3 4 5 5 5 4 4 4 3 2 3 5 7 10 10 8 8 10 10 7 5 4 4 4 7 8 5 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 5 4 5 5 4 5 5 5 5 5 4 4 5 5 4 5 5 5 5 4 3 2 2 3 3 4 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 5 6 6 6 6 5 4 3 3 3 3 3 3 4 6 6 5 4 4 5 6 5 3 2 2 2 3 3 4 4 5 5 7 12 17 16 12 8 5 5 7 6 -0 -7 -11 -10 -1 9 13 10 8 6 5 7 8 7 6 5 5 4 5 7 8 6 5 6 6 6 6 5 5 5 5 4 3 6 6 4 4 4 5 6 5 4 3 5 8 10 10 8 7 6 6 5 6 7 7 7 6 5 4 5 6 6 6 6 6 7 8 9 8 7 6 5 5 6 7 7 7 7 7 8 7 6 5 5 5 5 4 4 5 5 6 6 6 7 7 7 7 6 5 5 6 5 5 5 7 7 6 4 4 4 4 4 4 5 5 5 8 10 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 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 7 7 8 9 9 8 7 6 5 5 5 5 6 5 5 4 3 2 3 3 3 3 3 3 4 4 3 4 4 3 3 3 4 4 3 3 3 4 5 5 6 6 5 5 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 5 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 5 6 7 7 7 10 14 17 18 17 13 9 4 1 0 2 5 5 5 4 4 3 3 5 6 9 14 17 15 10 7 6 5 5 5 5 6 8 9 9 9 6 7 12 8 1 -0 4 5 3 -1 6 8 3 4 0 -1 3 8 6 7 11 12 10 8 6 5 5 6 8 8 7 5 3 2 4 5 5 4 3 5 5 4 3 3 6 9 11 9 8 10 11 9 6 4 4 4 4 6 8 6 4 5 4 3 3 3 3 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 4 5 5 5 5 4 5 5 5 5 4 5 5 5 5 4 3 3 2 3 3 5 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 3 4 5 5 6 6 6 8 8 6 3 2 2 2 3 3 4 5 5 6 6 7 9 14 16 12 9 9 9 8 4 -0 -3 -4 0 10 15 13 11 7 5 8 10 7 4 4 5 5 5 7 8 6 4 4 5 5 4 5 4 3 5 6 6 6 6 6 6 6 5 5 5 4 4 4 5 8 9 10 9 9 8 6 6 6 6 7 7 7 6 6 6 7 7 7 5 5 5 7 7 8 7 5 3 4 6 7 7 7 8 10 9 7 7 7 7 7 6 4 4 5 5 5 6 6 7 8 7 6 5 6 6 6 6 6 6 6 6 5 4 3 4 4 3 4 5 4 4 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 2 2 2 3 3 3 2 2 3 3 3 3 3 4 4 5 4 4 4 3 5 5 6 7 7 8 9 9 8 7 6 5 6 7 6 5 4 3 2 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 5 5 5 6 5 5 5 4 4 4 4 4 4 3 3 4 4 5 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 7 7 9 15 20 21 20 17 12 7 2 0 -1 1 4 6 6 5 4 4 4 5 7 10 15 18 14 9 7 5 5 5 5 6 7 9 10 8 7 5 5 9 9 3 -0 3 6 4 1 5 6 3 4 4 2 7 10 9 9 10 10 10 9 6 4 5 6 7 6 5 4 3 2 3 5 5 3 4 7 7 4 2 3 5 8 10 8 9 10 9 7 5 4 4 4 4 3 2 2 4 5 4 2 3 3 4 4 3 3 4 3 3 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 7 6 5 5 5 7 6 6 5 4 5 5 5 6 7 6 6 6 6 7 6 6 6 5 4 4 3 4 4 5 5 5 5 5 9 11 9 5 2 2 3 3 4 5 5 6 6 6 6 7 10 14 13 12 12 12 11 8 5 3 1 4 10 12 10 10 7 6 8 8 6 4 4 5 4 4 6 7 6 5 5 5 5 5 5 4 4 6 7 7 6 6 6 7 6 5 5 5 4 4 3 4 5 7 8 10 12 11 9 8 7 6 6 7 7 7 7 7 8 9 9 8 7 5 5 6 7 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 9 7 5 5 5 5 5 5 5 6 7 6 5 5 6 6 6 6 6 5 6 7 7 6 5 4 4 4 4 5 6 5 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 2 2 2 2 2 2 2 3 3 3 3 2 3 3 3 4 5 4 4 3 3 3 3 4 5 6 7 8 9 10 9 8 6 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 4 4 4 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 4 5 5 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 7 8 18 33 33 25 19 14 8 1 -1 -2 -1 -0 2 5 6 6 5 5 5 6 8 11 16 17 13 8 6 5 4 4 5 7 9 10 8 8 6 3 -1 0 5 5 2 3 4 3 4 5 4 2 4 7 6 9 10 11 10 9 10 12 9 6 5 5 5 5 5 3 2 2 2 3 3 2 3 8 11 8 4 3 3 2 4 6 6 8 9 7 5 4 3 4 4 5 2 -1 1 4 5 5 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 6 6 5 5 5 6 5 4 5 6 6 5 4 5 6 6 5 4 4 3 3 4 5 6 6 6 6 6 6 6 6 6 6 5 4 3 4 4 5 5 4 3 3 7 12 13 7 2 2 3 3 4 4 5 6 6 6 7 7 7 8 8 9 11 13 13 11 9 6 5 7 10 10 10 9 7 6 8 7 6 6 5 5 6 6 5 5 5 6 7 7 7 7 6 6 6 7 7 7 7 6 7 7 7 7 6 5 4 3 3 3 3 4 5 8 10 11 13 12 10 8 6 6 7 8 8 7 8 9 11 11 10 8 7 6 7 9 10 10 9 7 7 7 7 8 7 6 7 7 8 8 8 7 6 5 6 6 5 5 5 5 5 4 3 3 5 6 6 6 5 5 7 8 9 9 6 5 4 3 5 6 6 6 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 3 2 1 2 2 2 2 2 3 3 3 3 3 3 3 4 5 5 4 4 3 2 2 3 4 4 4 6 8 9 9 9 8 6 5 5 5 5 6 7 7 6 4 3 4 4 4 3 4 4 5 4 4 4 3 3 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 5 5 5 5 6 7 8 13 33 45 36 23 15 12 5 -2 -4 -3 -2 -0 2 4 6 6 5 5 6 7 8 12 17 17 12 7 5 5 4 4 5 8 10 8 7 7 6 4 -2 -3 4 6 3 3 1 2 4 4 2 3 6 9 9 9 9 10 10 10 12 12 9 6 6 5 6 5 4 3 1 2 3 4 3 -0 1 7 10 6 2 3 4 0 2 3 2 6 7 5 4 3 3 4 5 6 3 3 6 6 4 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 4 5 5 5 4 3 3 3 2 3 3 4 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 1 1 6 13 15 9 3 3 3 3 4 4 5 5 6 6 7 6 6 6 5 5 7 9 10 10 10 10 8 8 12 14 12 10 8 7 8 7 6 7 7 7 10 8 6 4 1 5 9 9 7 6 6 6 7 7 6 6 6 6 7 7 7 7 6 5 5 3 2 2 2 3 3 5 6 9 12 12 12 10 8 7 7 7 7 7 7 8 9 10 10 10 10 8 9 11 11 8 7 7 6 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 6 5 5 5 4 3 3 3 4 5 6 6 5 5 6 7 8 8 7 6 4 4 5 6 6 6 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 12 8 4 2 2 2 2 2 2 2 3 3 4 3 3 3 3 3 4 5 4 4 4 3 3 2 2 2 2 4 5 7 8 9 9 8 6 5 4 4 6 8 8 6 4 3 3 3 4 4 3 3 4 4 4 4 4 3 3 4 5 5 5 5 6 6 6 6 6 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 5 5 5 5 6 5 5 5 6 7 7 6 6 5 5 6 7 8 10 17 34 33 22 16 14 15 7 -3 -5 -2 -0 0 2 4 6 6 6 5 6 7 9 13 16 15 10 7 5 4 4 5 6 8 9 8 7 7 5 6 2 1 7 9 4 3 0 4 9 6 3 5 7 8 9 8 9 10 11 10 11 10 8 6 6 6 6 5 3 2 2 4 5 6 4 2 2 5 8 3 -1 3 5 2 4 3 2 9 10 5 3 1 2 3 6 8 6 8 15 10 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 6 5 5 6 7 7 6 5 5 5 6 5 5 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 4 3 2 1 1 6 14 15 9 4 3 2 2 4 5 6 6 6 6 6 7 6 6 6 6 5 5 6 7 8 8 7 6 9 14 14 11 10 9 9 7 6 8 8 8 11 9 7 4 -0 3 6 7 7 6 5 6 6 7 7 6 6 7 7 7 8 8 8 7 6 5 2 2 2 2 2 3 3 5 7 9 10 10 9 9 9 7 6 5 6 6 7 7 7 8 10 10 10 11 10 9 7 6 6 7 7 8 9 10 10 9 9 8 7 6 6 7 7 7 7 7 6 6 5 5 3 3 3 4 5 5 5 5 6 7 7 7 7 7 6 5 6 5 6 6 7 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 12 8 6 4 3 2 2 2 1 2 2 3 4 4 3 3 3 3 4 4 4 4 4 3 3 3 2 2 2 2 3 5 6 7 8 9 8 6 5 4 5 6 6 5 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 5 4 4 4 4 4 5 5 5 4 5 5 5 6 6 5 4 5 6 7 7 6 6 5 5 6 7 9 12 18 24 19 10 8 10 14 8 -2 -4 0 2 2 3 4 5 6 6 6 6 7 11 15 15 13 9 6 5 3 3 5 7 8 9 10 8 4 2 6 5 3 8 13 9 7 4 7 10 7 7 7 6 7 8 7 8 11 11 10 9 8 7 6 6 6 6 4 2 2 4 5 7 7 7 5 3 5 6 2 -0 4 7 5 8 8 10 15 13 7 3 -1 -1 3 9 12 10 12 17 10 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 4 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 5 6 6 6 7 7 7 7 6 5 5 5 4 4 4 5 5 5 4 4 4 4 3 3 2 3 4 10 15 14 8 5 4 3 3 4 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 6 8 11 11 11 11 8 8 8 9 8 7 9 7 5 3 1 2 3 4 5 7 7 7 7 6 7 7 6 7 7 8 9 8 8 8 7 5 4 3 3 2 2 2 3 3 4 5 6 7 8 9 9 8 6 5 5 5 5 6 5 6 7 8 9 9 8 9 9 8 7 8 8 8 9 10 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 6 4 4 5 5 4 4 5 6 7 7 6 7 8 7 6 6 7 7 6 7 8 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 10 8 7 5 4 3 2 2 2 2 2 3 3 3 3 3 3 2 3 4 4 4 4 3 4 3 3 2 2 2 2 3 4 5 6 8 9 8 6 5 5 5 5 4 3 3 3 3 2 3 3 3 3 3 3 3 4 3 2 2 3 4 4 4 4 4 4 4 5 4 5 5 5 5 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 5 5 5 4 4 5 5 6 6 5 5 4 5 6 7 8 7 6 5 6 6 8 11 15 18 18 12 2 -0 3 5 4 1 -1 2 4 4 4 4 5 7 7 6 6 8 13 16 13 10 6 5 4 2 2 4 7 7 9 11 10 4 3 7 7 1 3 12 14 13 8 5 6 7 9 9 7 7 9 8 9 10 10 9 8 7 6 6 6 6 5 4 2 2 5 7 7 5 7 6 2 5 5 4 4 4 6 8 10 17 22 18 13 8 3 -1 -1 4 13 16 12 11 12 7 3 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 7 8 8 8 8 8 9 9 9 8 8 8 7 6 6 7 6 6 5 4 5 4 4 4 5 6 9 14 15 10 8 7 5 4 4 5 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 7 8 9 10 8 9 9 9 8 7 6 5 4 3 3 3 2 2 3 6 8 8 7 6 6 6 6 6 6 8 9 8 7 7 7 6 5 5 4 3 1 1 2 3 3 3 3 3 5 6 8 9 8 5 4 4 5 5 5 5 6 7 7 8 7 7 8 8 8 8 8 8 8 9 9 9 9 11 11 9 8 8 8 8 9 9 9 10 11 10 9 7 7 7 6 5 4 4 5 7 7 7 7 6 6 5 6 7 7 7 7 8 7 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 10 9 7 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 3 4 3 3 3 2 2 2 3 3 4 5 6 7 7 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 5 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 5 4 4 5 4 4 4 5 5 4 5 5 4 4 4 4 4 5 5 5 4 5 5 5 6 6 5 5 5 6 7 8 8 7 6 6 6 7 9 15 19 18 12 6 -3 -6 -2 1 2 3 2 4 4 5 5 5 6 8 8 7 7 10 15 17 12 7 5 2 0 -0 2 5 6 6 7 9 7 1 5 11 10 2 2 8 14 14 10 2 2 6 8 9 9 9 9 10 11 11 9 8 8 6 6 5 5 5 4 4 3 5 8 9 3 -3 4 5 1 5 5 5 6 1 3 6 7 14 20 18 16 10 4 -1 -1 7 16 17 10 9 10 6 4 5 5 4 4 4 4 3 4 4 4 3 3 4 3 3 3 3 4 4 4 5 5 6 5 5 5 5 5 5 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 5 5 4 4 5 7 8 11 14 13 10 8 8 6 4 4 5 6 5 4 4 5 6 6 6 6 5 5 6 5 5 5 5 5 5 5 4 5 5 6 7 8 8 9 9 9 8 8 6 5 4 4 4 3 2 1 1 2 6 7 6 6 6 6 6 5 5 6 7 7 6 6 6 6 7 7 7 4 2 2 1 2 2 2 2 2 3 3 5 7 8 6 5 4 4 4 4 5 5 6 7 8 7 6 7 6 7 7 7 7 7 7 8 8 9 10 10 9 8 7 7 8 8 8 9 10 11 11 10 9 9 8 7 6 5 4 6 7 7 7 6 5 5 4 5 6 6 6 6 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
nan 11 12 11 7 5 4 4 5 6 6 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 6 6 7 6 6 5 4 4 3 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 2 3 2 3 3 4 4 5 5 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 5 5 4 5 5 5 6 6 5 5 5 6 7 9 9 7 6 6 5 8 15 22 22 14 10 6 -4 -7 -0 3 2 2 3 5 5 5 5 6 7 7 9 8 8 11 17 16 11 5 2 -1 -4 0 5 6 5 4 3 6 6 2 3 10 10 4 4 6 12 13 9 2 0 5 5 6 8 7 8 10 12 10 9 8 8 7 6 6 6 5 4 4 5 8 9 7 -2 -6 7 9 1 4 5 5 4 -1 1 3 2 6 12 20 23 14 4 -2 -1 9 17 14 9 8 10 6 4 5 5 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 4 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 6 5 4 4 5 6 7 7 6 6 6 5 5 5 6 6 5 5 7 7 7 7 7 6 5 5 5 5 5 6 6 8 10 11 12 11 8 6 4 4 5 5 4 3 4 5 5 6 6 6 5 6 6 6 6 5 5 5 5 5 4 4 4 6 6 7 8 8 8 8 8 8 6 5 4 4 4 4 3 1 0 1 3 5 7 6 5 6 5 4 4 4 5 5 4 5 6 7 8 10 10 5 3 3 2 2 1 1 1 2 2 2 3 4 6 7 6 4 4 3 3 3 4 5 7 7 7 7 7 6 5 5 6 7 7 7 8 8 9 10 11 10 8 7 6 7 7 7 8 8 8 9 9 9 9 8 7 7 6 5 5 6 6 6 6 6 6 5 5 4 4 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 12 13 12 10 7 6 6 7 8 8 6 5 5 4 5 5 5 6 5 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 3 2 2 2 3 4 5 5 6 7 7 6 6 5 4 4 4 4 5 4 3 3 2 3 3 2 2 2 2 2 1 2 2 2 2 2 3 3 3 4 5 5 5 5 6 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 4 5 5 4 4 5 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 6 7 9 10 9 7 6 5 8 15 24 25 19 13 13 8 -4 -6 0 2 1 2 5 6 6 6 5 6 7 8 9 9 9 13 18 17 9 3 -1 -5 -5 1 5 5 6 5 -0 -3 -2 3 5 8 8 4 3 5 11 13 8 5 2 3 2 6 7 6 6 8 9 10 9 7 7 7 6 6 5 4 4 4 5 7 6 1 -2 6 19 15 6 4 3 5 2 -1 2 3 3 4 14 26 26 15 4 -2 1 11 16 12 8 9 10 6 4 5 5 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 4 3 4 6 7 7 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 7 12 14 10 6 4 5 5 4 4 3 3 4 5 6 5 5 6 6 6 6 6 6 5 6 5 5 5 5 5 5 6 7 7 8 8 8 7 6 5 4 4 3 3 4 3 2 2 2 3 4 7 7 6 5 4 3 3 3 4 4 4 4 6 7 11 14 10 4 4 4 4 3 2 2 2 2 2 1 2 3 4 6 6 6 4 3 2 2 2 4 5 5 5 5 6 6 6 5 4 5 6 6 7 8 8 9 11 11 9 8 7 8 7 7 7 6 7 8 7 8 9 8 8 7 6 5 4 4 4 5 5 5 6 6 5 5 5 4 4 3 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 12 13 11 9 8 9 8 8 7 5 3 3 3 3 3 4 6 7 7 5 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 2 2 3 4 4 5 6 6 6 5 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 3 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 5 5 5 4 4 5 4 3 3 3 3 4 5 5 5 5 5 5 6 5 5 5 5 6 8 10 11 10 9 7 7 15 26 29 19 13 13 11 6 -2 -4 -2 -1 1 3 6 8 8 7 6 7 8 8 9 9 10 15 18 15 7 2 -1 -3 -2 2 4 4 3 5 4 -4 -8 -3 4 7 6 4 4 5 9 10 8 8 4 1 3 7 9 8 7 7 7 8 7 6 6 6 6 5 4 3 3 4 6 4 1 -1 5 19 23 15 8 3 3 5 1 2 8 11 5 5 16 28 24 12 3 -1 4 12 13 9 8 9 9 6 4 5 5 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 2 4 6 8 7 6 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 4 4 4 5 8 11 11 8 5 4 4 4 3 2 2 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 4 3 3 3 3 3 3 3 3 3 3 3 4 6 7 7 5 4 3 2 3 3 4 5 5 5 8 16 11 2 4 6 6 5 5 4 3 2 2 2 2 3 3 3 4 5 6 5 4 3 3 2 1 2 4 5 4 3 5 5 4 4 3 4 5 5 6 6 7 9 10 10 9 9 9 8 7 5 5 6 6 7 8 7 7 7 6 5 4 4 4 4 4 4 4 5 7 7 6 5 5 5 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 10 10 9 9 8 7 6 5 3 2 2 2 2 2 3 5 7 9 8 5 3 4 4 4 4 4 4 4 4 3 3 4 4 5 5 4 4 3 3 3 3 4 5 5 5 4 3 3 3 4 4 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 3 3 4 4 4 5 6 5 5 5 4 4 4 3 4 3 3 3 3 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 4 4 5 6 6 5 5 5 6 5 5 5 6 8 11 12 13 12 11 9 11 20 29 24 11 8 12 -0 -5 2 0 0 1 2 5 8 11 11 8 7 7 8 9 8 8 10 14 16 12 4 1 1 -0 2 4 5 4 1 1 5 8 6 2 0 3 7 7 7 5 5 6 6 8 6 3 4 7 8 8 7 6 7 7 3 3 6 7 6 4 3 2 2 4 6 5 2 2 9 17 15 9 6 3 3 4 -2 3 13 16 12 14 21 24 18 9 2 1 6 12 11 8 8 11 12 8 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 4 6 8 7 6 5 5 5 5 6 6 6 6 6 7 7 6 6 6 5 5 4 5 5 6 5 5 5 5 5 5 7 9 9 6 3 2 1 1 1 0 1 2 3 3 3 3 3 4 4 5 5 6 5 5 6 6 6 5 6 6 6 6 5 5 5 5 3 3 3 3 2 2 2 3 3 3 4 4 4 5 6 7 6 5 3 2 2 3 4 5 5 7 11 14 2 -4 4 7 7 7 6 5 4 4 3 2 3 3 3 4 5 5 5 4 5 7 6 4 2 2 4 5 4 3 4 4 4 4 3 3 3 4 4 4 5 6 7 9 8 7 8 7 5 5 5 4 5 5 6 6 5 5 5 5 4 4 5 5 5 4 4 4 6 6 6 6 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 7 7 6 5 4 4 3 3 3 2 2 1 2 3 4 6 9 11 8 4 3 3 4 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 3 4 4 4 5 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 2 2 2 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 4 4 5 5 6 6 5 5 5 5 6 7 11 15 16 16 15 13 12 12 19 22 15 6 6 9 -5 -12 0 3 3 3 4 6 9 13 13 10 7 7 8 8 8 8 9 13 12 5 -2 1 3 2 5 7 7 8 3 4 5 5 6 7 6 7 8 9 8 6 4 4 7 7 7 5 5 5 8 8 7 7 7 6 1 3 11 11 7 3 2 2 2 4 7 7 5 4 8 10 7 5 6 4 4 3 -4 0 9 13 16 20 22 19 13 7 2 3 7 9 9 8 9 12 13 9 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 4 4 4 5 7 8 6 5 5 6 5 6 6 6 6 6 5 6 6 6 6 6 6 5 5 5 6 6 5 6 6 5 5 5 5 6 6 4 1 -2 -2 -2 -1 -0 1 2 3 3 4 4 3 3 4 4 5 5 5 5 5 6 6 5 5 6 6 5 4 4 5 5 4 4 4 4 3 3 2 2 3 4 5 5 5 5 6 7 7 6 4 2 2 3 4 6 6 7 14 10 -0 -2 4 7 8 8 7 6 5 4 4 3 3 3 4 4 6 5 1 1 4 6 8 9 7 5 5 6 5 4 4 5 5 5 4 3 3 3 3 4 4 4 6 6 6 5 5 5 5 5 4 4 4 3 4 5 5 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 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 5 5 5 5 5 4 4 3 3 3 4 4 3 3 2 2 4 5 6 9 13 12 7 3 3 3 3 4 4 4 4 4 4 3 3 3 4 5 4 4 4 4 4 4 5 6 5 4 4 3 2 2 3 3 3 2 2 2 2 2 2 2 2 1 2 2 2 3 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 6 6 5 5 5 5 6 10 16 20 18 16 14 12 12 10 13 16 11 4 5 7 1 -5 -2 3 4 4 5 6 9 13 14 11 8 7 8 8 7 7 9 10 7 0 -2 2 6 7 7 7 9 10 7 9 9 5 0 3 7 9 10 9 8 7 5 6 7 7 6 5 5 6 7 8 7 7 8 7 2 8 16 13 7 3 2 2 4 5 6 5 5 5 5 5 4 4 6 5 3 1 -1 1 3 6 13 17 17 13 9 5 3 4 6 8 8 8 9 11 11 7 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 5 5 5 5 5 4 5 5 5 4 4 4 5 4 4 4 3 3 3 4 5 5 4 4 4 5 6 6 6 6 6 5 5 5 5 5 4 4 5 7 7 6 6 5 6 6 6 6 6 6 6 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 0 -2 -2 -2 -1 0 2 2 4 5 5 6 5 5 4 4 5 5 5 5 4 5 5 6 6 6 6 5 3 3 5 4 4 5 5 5 5 4 3 3 4 5 6 6 5 5 5 6 8 7 5 3 2 3 6 8 7 6 11 9 1 0 3 6 7 8 9 8 7 5 4 3 4 4 5 4 7 6 -1 -1 2 4 7 9 9 7 6 6 7 6 6 6 6 7 6 4 5 4 4 4 4 5 6 5 4 4 4 4 4 4 3 3 4 3 3 3 4 4 4 4 3 4 5 6 6 6 6 6 5 5 5 4 5 5 5 6 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 5 5 5 5 5 5 4 4 3 3 4 4 3 2 2 3 5 6 7 10 15 16 11 5 2 2 2 2 2 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 6 6 6 5 3 2 2 3 4 4 3 2 2 2 2 2 2 2 2 2 2 2 3 4 5 6 5 5 4 4 3 3 3 4 5 5 5 5 5 5 5 4 3 2 3 3 2 2 3 3 3 3 4 3 4 3 3 3 4 3 3 3 4 4 4 3 3 3 3 4 4 5 6 6 5 4 5 6 7 12 20 21 16 13 12 9 9 8 11 16 12 4 3 4 4 2 1 3 4 5 6 7 8 12 14 11 8 7 8 8 8 7 8 8 2 -1 1 4 6 8 9 8 11 10 7 5 6 8 5 4 4 6 7 8 10 9 7 6 7 7 5 5 5 6 7 7 7 8 10 8 6 11 15 11 5 3 3 4 5 5 5 5 5 5 4 5 3 4 6 6 3 3 5 4 3 5 11 14 13 9 5 3 2 3 6 7 7 7 10 13 12 7 4 5 5 5 5 4 4 4 4 4 4 3 4 4 5 5 5 5 4 4 5 4 4 5 5 5 5 4 4 5 4 4 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 7 7 7 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 2 2 1 2 2 2 3 3 4 5 6 6 6 6 4 4 4 5 5 5 5 4 5 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 6 5 5 5 7 7 7 5 3 4 9 13 11 5 3 6 4 3 4 6 6 8 9 9 9 7 5 4 4 5 5 5 6 4 0 1 3 4 5 6 6 6 6 7 7 6 6 6 7 9 8 6 5 4 4 4 4 5 5 5 4 3 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 5 6 6 6 6 5 4 4 4 5 5 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 6 5 4 3 3 3 3 2 1 1 3 5 6 7 10 19 23 16 8 5 4 3 2 2 2 3 3 4 4 3 3 3 3 3 4 4 4 4 5 5 5 6 7 6 5 3 2 3 5 5 4 3 2 1 1 2 3 3 2 2 2 2 3 4 6 7 7 6 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 6 6 6 5 4 5 7 9 14 18 17 11 8 8 8 7 8 16 20 10 1 1 2 4 5 5 6 6 6 6 7 8 12 14 13 10 8 8 8 8 8 9 10 5 1 3 5 6 7 8 9 9 6 5 1 -3 -0 4 7 7 5 5 7 12 11 8 7 6 7 6 5 5 4 5 6 7 10 12 10 8 12 13 9 5 2 4 5 4 3 2 4 5 3 3 4 4 5 6 4 4 5 9 8 9 12 13 12 7 2 1 1 1 3 6 7 7 8 10 12 10 5 4 5 5 5 5 5 4 4 4 4 4 3 3 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 5 6 6 7 6 6 7 6 6 7 6 6 5 6 7 7 6 6 6 6 6 6 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 4 4 5 6 6 6 5 5 6 6 6 6 5 5 4 3 2 2 2 3 4 5 6 6 6 6 7 7 7 7 6 5 5 5 6 7 6 4 5 11 16 13 5 -0 0 3 4 5 7 7 7 8 9 9 8 6 5 5 6 6 6 5 4 3 3 4 5 5 4 2 2 4 6 5 5 6 6 7 8 8 6 5 4 4 4 4 4 5 5 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 5 6 5 5 5 4 3 1 -0 0 2 4 5 5 7 16 22 17 11 9 8 7 5 3 3 3 3 3 4 3 3 3 3 2 3 3 4 4 4 5 5 5 6 7 7 5 3 2 4 6 5 3 2 1 1 2 2 3 3 2 2 2 2 4 5 7 7 7 6 6 5 5 5 5 5 6 5 5 5 5 5 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 5 8 12 16 16 11 8 6 6 7 7 11 21 21 4 -4 -0 3 5 6 8 8 7 7 7 7 8 12 15 15 11 9 9 6 6 7 9 12 11 7 7 8 8 7 7 7 6 5 5 5 -1 -1 3 5 7 6 4 7 11 11 9 9 7 7 8 6 4 5 5 5 8 13 15 11 10 13 12 9 3 1 4 5 2 -1 1 5 4 1 4 7 7 6 6 4 3 6 13 12 14 18 15 10 3 -3 -1 2 1 4 9 9 7 8 9 8 6 5 5 6 6 5 5 5 4 4 4 4 3 3 3 4 5 5 5 4 4 5 5 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 5 5 6 6 6 5 6 6 6 6 7 6 6 7 7 7 6 5 5 5 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 5 5 6 7 7 7 6 6 6 6 7 7 5 5 5 3 2 1 1 2 3 4 6 7 7 7 8 7 7 6 6 5 5 4 5 7 7 4 5 9 10 8 4 0 -1 2 5 6 7 7 6 7 8 8 9 9 8 7 8 8 7 6 5 4 4 4 5 5 5 3 1 2 4 4 5 5 6 6 6 6 4 4 4 3 3 3 3 4 5 4 4 4 4 4 4 4 3 3 2 1 1 2 1 1 2 1 1 2 2 3 3 3 4 4 4 4 4 5 6 6 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 6 6 6 5 4 4 5 6 7 7 7 5 2 0 -1 1 3 4 3 3 7 11 11 9 9 10 10 8 6 4 3 3 3 3 3 3 2 2 2 2 3 3 3 4 5 5 5 5 7 8 7 4 3 4 6 6 4 2 2 1 1 2 2 2 2 3 2 3 4 4 6 7 6 6 6 6 6 5 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 7 11 16 18 15 10 7 6 6 6 8 14 20 14 -3 -7 -1 3 5 7 8 8 7 7 7 7 8 12 16 15 12 10 8 1 -1 6 10 12 11 9 8 8 7 7 7 6 6 6 8 10 7 4 5 5 7 7 4 6 7 8 10 11 8 7 9 8 6 7 7 7 9 13 14 12 11 12 11 7 0 -0 5 5 0 -1 4 10 8 6 10 10 7 6 6 4 3 8 12 12 16 20 15 8 -1 -5 1 5 6 10 12 9 8 8 8 7 6 6 5 6 6 5 5 5 5 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 7 7 6 6 5 5 6 6 5 6 6 6 6 6 7 6 6 6 7 6 6 5 5 5 5 5 4 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 5 5 6 6 6 5 5 5 5 5 6 6 6 7 6 6 7 8 8 7 7 6 6 7 7 6 6 5 4 3 2 1 1 3 4 5 6 7 8 8 7 6 6 6 5 4 4 5 6 6 5 5 6 5 4 4 4 2 4 6 6 6 7 7 6 6 7 9 10 10 10 9 8 8 7 6 5 5 5 5 6 6 6 5 3 3 4 4 4 5 5 5 4 4 3 3 3 2 1 2 4 4 4 5 4 4 5 5 5 6 6 5 4 3 2 1 1 1 2 2 2 2 3 3 3 3 3 3 4 5 5 6 6 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 6 6 5 5 5 6 7 8 8 6 3 1 1 2 3 2 1 2 4 4 4 6 8 9 9 8 7 5 3 3 3 4 4 3 2 2 2 2 2 3 3 4 5 5 5 6 7 8 6 4 3 5 6 4 3 2 1 0 1 1 2 3 2 2 3 3 4 5 6 5 6 7 7 6 6 6 5 5 4 5 5 5 4 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 8 14 17 15 11 8 7 6 6 7 8 14 16 6 -5 -5 0 4 5 6 7 8 8 8 7 6 8 12 17 17 13 9 6 -2 -3 6 11 11 9 8 7 6 5 5 7 9 8 5 6 9 10 7 6 6 9 8 5 4 3 5 10 10 8 7 8 8 7 9 11 12 11 11 11 11 10 10 7 3 -1 1 7 4 1 5 10 10 9 11 11 8 6 6 5 3 1 3 6 13 19 20 14 6 -2 -1 7 11 13 14 13 10 8 8 8 7 8 6 5 6 6 5 5 5 4 5 4 3 3 3 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 6 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 5 6 6 6 6 6 5 4 5 5 6 5 5 4 4 5 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 5 4 4 5 5 7 7 7 6 5 5 6 6 5 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 4 4 4 4 6 7 5 4 5 6 7 7 6 5 5 5 5 4 4 4 5 6 6 6 6 4 2 6 9 6 5 6 6 6 7 7 6 6 7 8 10 11 10 9 7 7 7 7 7 6 7 6 6 7 9 9 7 4 3 3 3 4 4 4 4 4 4 3 3 2 1 2 3 4 4 5 4 4 4 5 5 6 8 10 10 7 5 3 2 2 2 2 3 3 3 3 3 3 3 2 2 3 4 4 6 7 8 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 9 9 8 6 5 6 6 8 9 9 7 4 2 1 2 1 0 -0 -0 1 2 3 5 6 7 7 8 7 6 4 3 4 4 4 3 2 2 1 1 2 2 3 4 5 5 5 6 8 7 5 4 4 5 4 3 1 0 0 0 1 2 2 2 3 2 3 4 5 5 5 5 6 7 7 7 6 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 7 12 13 11 9 8 7 6 6 6 8 14 16 6 -1 -1 2 4 5 6 7 8 8 7 6 6 7 12 18 18 13 9 2 -6 -4 7 11 9 8 9 6 5 4 4 6 9 9 5 5 6 7 6 5 8 11 8 7 3 1 4 9 9 7 8 8 8 6 9 12 11 8 7 8 9 8 8 6 1 -1 4 7 3 3 7 8 7 9 9 6 4 5 5 4 1 -1 -3 4 17 23 19 11 3 -0 5 13 16 16 14 11 9 7 7 7 7 8 7 6 5 5 5 5 5 4 5 4 3 3 4 4 5 4 4 5 5 5 5 5 6 5 5 5 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 5 5 4 4 5 6 6 6 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 4 5 5 5 6 6 5 4 4 4 3 3 4 5 5 4 5 5 5 5 6 7 8 7 6 5 5 6 6 5 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 6 4 4 6 10 16 17 11 5 4 5 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 5 4 6 5 5 5 5 5 5 6 6 7 6 6 7 9 11 9 7 6 6 7 8 8 8 9 8 5 6 9 10 8 5 4 3 3 3 4 3 3 4 5 5 5 4 2 2 1 2 3 4 4 4 4 4 4 5 7 10 12 13 11 8 5 3 2 3 4 4 4 5 4 4 3 3 2 2 3 3 3 3 5 8 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 7 6 7 9 10 9 8 7 6 6 7 9 8 5 3 1 0 0 -1 -2 -1 1 3 3 3 3 3 5 8 9 8 5 4 4 5 5 5 4 3 2 1 1 1 2 3 4 5 5 5 7 8 8 6 5 5 3 2 1 0 -0 0 1 2 2 2 2 2 3 4 4 4 4 5 6 7 8 8 7 5 4 4 4 4 4 4 5 5 4 4 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 9 11 9 8 8 7 6 6 6 9 15 16 7 2 2 4 5 6 6 7 8 7 7 6 6 8 12 18 17 12 6 -0 -6 -2 6 9 7 8 9 5 4 5 3 4 7 7 6 4 2 3 4 7 12 10 8 9 5 4 8 11 7 6 6 8 7 6 9 11 8 5 5 7 7 7 6 4 -0 1 6 8 5 5 7 3 1 3 5 3 3 6 6 2 -1 -2 -5 6 20 22 16 7 2 3 9 15 16 14 11 9 8 7 7 7 7 7 6 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 6 6 6 5 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 5 4 5 5 6 6 5 5 5 5 5 4 5 5 4 5 6 6 6 7 7 6 5 5 5 6 6 7 7 7 6 5 4 4 4 5 6 5 5 6 6 6 7 8 8 7 6 5 5 5 5 6 6 6 7 7 6 6 6 6 6 7 7 8 8 7 7 7 6 4 5 9 16 29 29 16 5 2 3 5 5 5 5 5 5 4 5 5 5 6 6 5 6 7 7 5 1 0 3 4 4 4 4 5 6 6 6 5 6 8 10 9 6 5 5 6 7 9 10 11 9 5 3 5 8 8 5 4 4 3 2 3 3 2 3 5 7 8 7 4 2 1 2 2 3 3 3 4 4 4 4 5 7 10 13 13 13 11 8 6 5 5 5 5 6 6 5 4 3 2 2 2 1 0 0 2 5 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 2 -2 1 5 7 8 8 8 7 6 7 7 7 5 3 2 2 2 1 0 1 4 6 4 1 1 2 3 6 8 8 6 4 5 5 6 5 5 4 4 3 2 2 2 3 4 4 4 5 5 7 9 9 7 4 3 2 1 0 -0 0 1 2 2 3 2 2 3 4 5 5 5 5 5 7 8 8 7 6 5 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 6 6 5 6 10 11 10 8 7 6 7 7 10 13 10 5 2 4 5 6 6 7 7 7 7 6 6 6 8 13 16 16 9 1 -1 -1 2 7 8 7 7 6 1 1 3 5 6 8 6 3 1 1 2 5 8 8 6 7 9 9 10 14 13 8 6 4 5 6 7 10 11 7 5 8 11 10 8 7 5 1 4 9 8 7 7 1 -4 0 6 7 4 4 5 3 1 0 -2 -3 8 20 20 12 6 3 6 11 14 14 11 9 7 7 7 7 7 8 8 7 5 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 5 6 6 6 7 8 9 8 8 8 7 7 7 7 7 7 8 8 8 7 8 8 7 6 5 5 5 5 5 5 6 6 7 6 6 7 6 6 7 7 8 8 8 8 7 6 4 4 8 15 25 24 14 7 -0 -1 2 4 5 5 5 4 4 4 5 6 6 6 6 6 6 6 4 -1 2 3 3 3 3 3 4 5 6 7 6 6 7 8 8 7 5 4 4 5 8 12 13 10 5 2 3 5 5 5 3 2 2 2 2 2 3 3 6 8 10 10 8 5 3 2 2 1 1 2 3 3 3 3 4 4 6 8 10 12 13 13 12 9 7 6 5 5 6 6 5 4 3 2 1 0 -0 -1 1 2 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 -0 -5 -4 0 3 4 5 6 6 6 6 6 7 6 4 3 3 3 3 4 5 7 9 6 2 1 2 4 6 7 7 6 5 5 6 6 5 5 4 5 5 4 3 2 2 3 4 4 4 4 6 9 10 8 4 3 2 1 0 0 0 1 1 2 2 2 2 3 4 5 4 4 4 5 7 8 9 8 7 6 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 10 14 12 9 7 7 7 9 10 6 4 3 4 5 5 5 7 8 8 7 6 5 6 6 10 14 14 12 8 2 3 6 8 9 8 6 6 4 4 5 5 4 7 6 3 2 3 3 3 6 6 2 2 7 11 12 13 14 10 9 7 4 4 5 7 9 7 5 9 15 17 14 10 8 5 3 5 8 7 6 -1 -11 -9 5 15 11 4 7 10 4 1 6 5 4 11 18 16 9 5 4 9 12 13 11 9 7 6 6 6 6 7 8 7 4 3 4 5 5 6 6 7 6 4 4 4 5 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 4 4 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 6 5 5 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 8 8 7 6 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 7 7 7 7 7 6 5 5 6 9 10 11 10 7 2 3 4 5 5 5 4 4 5 5 5 6 7 7 6 6 7 6 4 2 3 3 2 3 3 3 4 4 5 6 6 6 6 7 8 7 5 4 2 3 6 10 13 11 6 2 2 3 4 4 4 3 2 1 2 3 5 6 7 9 11 12 11 8 6 4 3 1 1 2 2 3 3 3 3 4 4 4 6 7 9 11 13 12 10 8 7 6 6 6 5 4 3 3 2 2 2 1 1 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 4 -1 -2 -0 2 3 2 3 3 4 4 5 7 7 7 6 4 4 4 4 6 7 8 7 5 5 6 7 7 7 7 6 6 7 6 5 5 4 4 5 6 6 4 3 3 3 3 4 4 3 5 8 10 10 6 4 3 2 1 1 1 1 1 2 2 2 2 3 4 4 4 4 4 5 6 8 9 9 8 7 5 4 3 4 4 4 4 4 4 3 3 2 2 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 4 5 5 5 5 5 6 6 6 5 5 12 16 13 10 8 8 7 14 12 4 2 3 4 5 5 6 7 8 8 7 5 5 6 7 10 13 12 9 9 7 8 11 11 10 8 6 4 4 9 7 5 8 13 7 2 3 5 5 6 6 3 5 10 11 11 11 10 9 8 9 7 5 5 5 4 4 3 5 11 17 18 14 9 5 1 -0 3 7 5 -1 -8 -10 -5 5 14 12 4 10 21 19 14 14 11 10 13 16 11 7 5 7 11 12 12 10 8 6 7 6 6 6 6 7 5 2 1 2 3 5 6 7 6 5 5 4 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 5 4 4 3 4 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 6 5 6 6 7 7 6 6 6 7 7 7 8 7 7 8 8 7 7 8 8 7 8 9 8 7 7 7 7 7 7 7 7 6 6 5 5 6 6 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 5 4 5 5 6 5 6 7 7 7 8 8 5 4 4 4 5 5 5 5 6 7 7 7 7 7 7 6 6 4 3 2 2 3 3 4 4 5 6 6 6 6 6 7 8 7 5 3 2 4 7 10 10 6 3 2 1 3 4 6 7 6 3 3 5 9 11 11 10 10 11 11 9 7 5 4 3 2 2 2 2 2 2 2 3 3 3 3 4 5 6 8 9 10 11 11 10 9 9 9 7 5 5 5 5 5 3 3 3 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 9 7 5 4 3 2 2 2 2 2 4 5 7 7 7 5 4 4 4 4 5 6 7 7 8 9 9 9 8 7 7 7 7 6 5 5 3 3 5 6 7 6 5 3 3 4 4 4 4 4 6 10 11 9 5 4 3 2 1 1 2 2 1 1 2 3 4 4 4 4 4 4 5 6 7 8 9 9 8 6 4 3 4 4 5 4 4 4 4 3 2 3 3 3 4 4 4 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 5 4 5 6 6 6 6 5 6 12 15 12 11 10 11 12 18 12 3 1 3 4 5 5 6 7 7 7 7 5 5 8 9 9 9 9 9 9 9 11 13 13 10 7 5 5 8 8 0 0 11 16 10 3 3 5 6 7 6 2 6 11 8 8 8 7 7 8 9 7 4 3 4 2 1 2 5 10 15 14 9 5 1 -4 -4 4 9 3 -3 -5 -2 3 6 13 14 6 12 28 35 28 20 16 14 14 11 7 4 6 9 12 11 10 8 6 7 6 5 6 6 6 7 5 4 4 3 2 4 6 7 6 6 5 5 5 4 4 4 3 4 5 5 5 6 6 6 6 7 6 6 5 4 4 5 5 6 7 6 6 6 6 6 6 5 6 5 6 6 6 6 7 7 7 6 6 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 8 8 8 8 9 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 6 6 6 7 7 7 8 7 6 5 5 5 5 5 6 6 5 3 3 4 5 6 8 9 9 6 2 2 3 4 5 6 6 6 6 7 8 9 9 8 7 6 6 5 4 3 3 3 4 4 5 5 5 6 6 6 6 7 8 8 7 5 3 2 4 6 7 5 4 3 2 2 4 6 8 9 8 7 9 13 15 12 9 7 6 7 7 6 5 5 5 4 3 3 3 3 3 2 2 4 3 3 3 3 3 3 4 7 9 10 12 13 13 14 13 11 10 9 9 8 7 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 14 15 15 13 9 6 4 4 4 4 3 3 3 4 5 6 5 4 5 5 5 6 7 7 8 9 10 11 11 9 9 9 8 7 6 6 5 5 4 5 7 7 7 6 4 4 4 4 4 4 4 5 9 11 10 7 5 3 3 2 2 2 2 1 1 2 3 4 4 4 3 3 4 5 5 6 6 8 8 8 6 5 5 4 4 4 5 5 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 5 5 5 5 6 7 6 5 4 7 13 14 12 12 12 15 18 16 5 -1 0 3 4 5 6 6 7 8 8 7 5 6 10 12 9 6 7 9 10 11 15 15 13 10 5 4 7 12 7 -4 -2 7 10 8 3 3 6 7 7 7 7 8 6 4 5 5 6 8 10 9 8 6 6 7 6 2 3 6 10 12 10 6 2 -2 -7 -6 5 11 5 -1 1 4 5 3 9 12 8 15 27 31 23 17 19 18 13 7 4 4 8 10 11 9 8 8 7 7 6 6 5 5 6 6 5 5 5 4 2 3 6 7 7 5 5 5 5 3 3 3 4 5 5 5 6 6 6 6 6 7 7 7 6 6 5 6 6 6 6 6 6 6 6 6 6 5 5 5 6 5 6 6 7 7 7 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 7 8 7 7 7 7 8 8 8 8 8 8 9 10 10 11 11 12 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 8 8 7 6 5 5 5 7 12 14 10 5 2 4 6 7 8 9 7 -0 -2 1 3 4 6 7 7 7 7 8 10 11 10 9 7 6 6 6 5 3 3 4 5 5 5 5 5 6 6 6 6 6 7 8 8 7 5 3 3 4 5 5 5 4 3 3 3 4 6 9 11 11 11 12 13 10 7 4 3 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 2 1 2 3 5 7 9 11 13 15 16 15 13 12 11 9 8 7 6 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 15 16 16 13 10 8 7 6 6 6 5 5 4 4 5 5 6 7 7 7 9 10 11 10 9 10 12 12 12 11 11 10 9 8 7 6 7 6 7 7 8 7 6 5 4 4 4 4 4 4 5 7 10 9 7 5 4 3 3 3 3 2 2 2 2 3 4 4 4 3 3 4 4 5 5 6 6 7 7 6 6 5 5 5 5 5 5 5 4 3 3 3 4 4 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 6 6 7 6 5 5 8 13 13 12 10 12 18 17 8 -0 -4 -0 3 4 6 6 7 7 7 8 7 5 5 9 11 8 6 6 10 13 16 19 16 12 10 3 0 7 11 4 -1 1 7 6 5 4 4 7 8 9 7 8 13 10 5 4 3 6 10 12 10 9 10 12 15 15 10 8 8 11 11 8 5 1 -4 -7 -3 4 8 5 1 4 8 5 -4 -1 6 9 17 24 23 15 12 15 15 9 2 1 5 9 10 10 9 8 8 8 7 6 5 4 4 6 6 5 4 6 7 4 3 6 9 8 6 5 5 4 3 3 3 4 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 6 6 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 12 13 13 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 7 8 7 7 6 4 6 14 21 21 14 7 4 6 7 7 7 7 4 0 2 3 3 5 6 7 7 8 8 10 12 13 13 10 8 6 6 7 5 4 3 4 5 6 5 5 5 5 5 6 6 6 6 7 8 8 6 4 3 3 4 5 5 4 4 3 3 3 4 7 11 12 10 7 5 4 3 2 2 2 3 4 5 6 5 6 6 6 6 6 5 5 4 4 4 4 4 3 3 3 1 2 3 4 5 6 8 11 11 11 11 10 9 8 7 6 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 8 11 13 13 11 9 8 8 8 8 8 8 9 8 8 8 8 8 8 9 11 12 11 9 7 8 12 14 14 12 11 10 10 9 9 8 8 8 8 8 9 8 7 6 5 5 5 4 4 4 5 6 8 8 6 5 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 4 5 5 5 5 7 7 7 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 2 3 4 4 3 4 4 4 4 4 4 5 5 5 5 6 7 7 6 5 6 7 12 16 14 10 9 10 12 9 4 2 -2 0 3 4 5 6 6 6 7 8 7 5 3 6 8 7 6 8 11 15 19 21 17 14 10 0 -3 3 7 4 4 6 8 6 5 5 6 7 8 11 9 9 10 5 2 1 3 8 11 12 11 9 9 14 18 19 14 9 10 12 10 7 3 -0 -3 -4 -0 3 5 3 2 4 9 6 -2 -2 4 8 15 20 17 12 10 12 9 2 -4 -1 6 9 11 10 8 8 8 8 6 6 5 4 4 6 6 4 4 7 8 6 4 7 9 8 7 6 5 4 3 3 4 4 5 5 6 6 6 5 6 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 4 4 5 5 6 5 6 6 7 7 7 7 6 6 6 5 5 5 4 5 5 6 6 7 7 7 7 6 7 7 6 7 7 7 7 8 8 9 9 8 8 7 7 7 7 8 9 9 10 12 12 13 13 13 13 12 12 12 13 12 11 11 11 10 10 10 10 9 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 5 7 16 20 17 10 7 7 8 8 7 7 7 4 3 4 4 4 5 6 6 6 6 8 10 14 16 16 12 9 6 6 6 6 4 3 3 5 5 5 5 5 5 5 6 6 6 6 5 6 7 7 6 5 5 5 5 5 5 4 4 3 3 4 6 9 11 7 3 0 -0 0 1 1 2 3 4 6 7 6 5 6 6 7 7 7 7 6 5 5 5 4 4 4 4 2 2 2 3 3 3 4 5 6 6 6 6 5 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 5 4 4 5 7 9 9 8 7 7 7 8 8 11 15 17 15 12 9 9 9 9 11 10 7 5 4 5 8 13 13 11 9 9 9 9 8 8 9 10 11 11 10 10 9 6 5 5 6 5 4 4 4 6 7 8 7 6 5 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 4 5 5 4 5 5 7 8 7 6 5 4 4 4 5 5 5 5 5 4 4 4 4 3 3 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 7 7 7 6 8 11 15 19 18 12 8 6 5 3 -1 0 2 0 1 2 4 4 5 6 7 7 8 8 5 2 3 5 6 6 8 10 12 16 18 19 17 12 2 -1 2 6 5 2 3 6 7 7 6 7 7 8 12 12 10 4 -2 -2 1 6 11 12 12 10 7 6 10 15 15 11 9 10 10 9 5 1 -1 -1 -1 1 3 4 2 1 2 7 11 6 2 5 8 12 14 12 10 12 12 5 -3 -5 3 9 9 11 10 8 8 8 8 6 5 4 4 5 6 5 4 5 7 9 9 7 7 8 7 6 6 5 3 3 3 4 5 5 5 6 6 6 5 6 6 6 6 5 5 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 6 7 6 6 6 6 5 6 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 7 6 6 6 6 7 7 8 9 10 11 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 9 8 8 8 8 8 8 7 7 6 6 5 6 9 9 9 8 7 7 7 7 7 8 7 6 3 0 3 4 5 6 6 5 6 6 9 14 18 18 14 10 6 6 6 6 5 4 3 2 4 5 5 5 5 5 6 6 6 6 5 5 6 6 7 6 6 5 5 5 5 4 4 4 3 4 5 7 8 6 2 -1 -1 -0 0 1 2 3 5 7 7 6 6 6 6 6 7 7 7 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 3 3 3 5 7 7 6 6 5 6 7 11 16 17 14 10 8 8 9 9 9 7 5 4 4 4 4 8 10 10 7 6 6 7 7 8 9 11 12 13 12 11 9 6 5 5 6 6 5 4 4 5 7 8 8 6 5 5 5 5 4 3 3 3 4 3 2 2 2 1 1 2 4 5 5 5 4 5 7 8 8 7 6 5 4 4 4 4 5 5 5 5 4 4 4 4 3 4 4 3 3 3 3 3 4 4 4 5 5 6 6 6 7 8 7 6 9 15 21 24 25 18 8 4 3 1 -3 -6 -3 1 0 1 2 3 4 5 6 7 7 8 7 6 3 1 2 5 7 8 8 8 10 13 19 21 14 6 3 6 8 4 2 2 4 7 7 7 7 6 8 12 14 10 1 -1 0 4 9 12 13 11 8 5 5 8 11 12 10 8 8 7 6 2 -1 1 1 2 3 3 3 2 0 -0 4 12 10 4 4 10 14 13 10 9 11 10 3 -0 4 10 11 10 10 9 8 8 8 7 5 5 4 4 6 6 5 4 6 9 10 10 8 7 6 5 5 6 4 3 3 4 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 3 4 4 4 4 3 3 3 4 4 5 5 5 5 5 6 6 6 5 6 5 5 5 5 5 4 4 5 6 6 6 6 6 6 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 6 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 8 7 7 6 6 3 2 4 7 8 8 8 7 7 8 9 8 8 6 3 5 6 6 6 5 6 5 5 8 12 17 18 15 11 8 7 7 6 5 4 4 3 4 6 6 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 5 6 5 4 3 3 2 3 4 6 7 7 4 1 0 1 2 2 4 5 6 6 6 6 6 6 5 5 6 6 7 7 6 6 6 6 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 4 3 2 3 5 8 8 7 6 6 7 11 12 9 6 4 5 7 9 10 9 7 6 5 4 4 3 5 8 11 10 7 6 5 6 7 8 11 13 14 13 11 8 5 4 4 5 6 6 5 4 5 6 7 7 6 6 5 5 5 5 4 3 4 4 4 2 1 1 1 1 2 3 5 5 5 5 5 7 8 9 9 8 6 5 4 3 3 3 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 6 6 6 7 8 8 7 10 16 23 27 27 25 17 7 4 4 2 -2 -6 -3 0 1 1 2 3 4 5 6 7 7 7 7 8 6 2 1 6 9 10 9 7 7 10 16 20 13 7 5 8 6 4 4 4 5 6 7 7 7 7 9 11 13 8 1 2 3 7 11 13 13 10 6 4 5 9 11 10 8 5 5 5 4 0 -2 2 3 4 4 4 4 3 2 3 7 8 4 5 8 12 17 16 10 6 8 8 6 11 16 15 11 10 10 9 8 8 8 7 6 5 4 5 7 6 6 6 8 9 9 8 6 6 6 4 4 5 4 3 4 5 6 6 6 5 5 5 5 5 6 6 6 5 4 4 3 2 2 2 3 3 3 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 6 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 12 12 12 12 11 11 11 11 10 9 8 7 8 10 9 5 2 4 7 9 8 8 8 8 9 10 10 10 7 5 5 5 5 5 5 6 5 5 7 12 17 18 15 11 8 6 6 6 5 4 3 3 6 9 7 5 4 5 5 6 6 7 6 6 5 4 4 5 6 6 6 6 5 4 3 2 3 3 4 5 6 6 5 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 5 3 3 4 7 10 11 9 8 7 8 9 8 4 1 1 1 4 8 10 9 8 6 5 5 4 4 4 8 13 13 11 8 6 5 6 8 11 14 15 13 10 6 4 3 3 4 5 6 6 5 5 5 6 7 7 6 5 5 4 4 4 4 4 4 4 2 1 1 1 1 2 3 5 5 6 7 8 8 8 8 9 9 8 6 4 4 3 3 3 3 4 5 4 4 4 5 5 4 4 3 3 3 4 4 3 4 6 7 7 8 10 11 9 9 14 20 25 25 20 16 14 13 14 14 8 1 -3 -1 1 2 2 3 4 5 6 6 7 7 7 7 9 9 5 4 7 10 12 11 9 8 9 13 15 12 8 8 7 6 6 5 5 5 5 7 7 8 9 10 11 13 10 6 4 5 9 13 14 11 7 5 4 7 9 10 9 6 4 4 3 3 1 -4 -0 2 4 3 5 7 6 4 6 11 10 5 9 14 14 16 15 8 5 7 7 10 17 18 14 11 10 9 9 8 8 7 7 6 5 5 6 6 6 7 8 9 10 8 6 4 5 5 4 4 4 4 4 5 5 7 8 6 5 5 5 5 5 6 6 6 5 5 5 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 4 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 7 7 8 7 7 7 8 9 9 10 10 10 11 11 12 13 13 12 12 11 11 10 9 8 7 9 15 17 13 6 5 8 9 8 8 8 10 11 12 12 12 7 0 -0 3 5 5 6 6 6 5 7 14 18 19 16 12 8 6 6 6 6 4 3 1 5 10 7 4 4 4 5 5 5 6 7 7 6 4 4 4 4 5 6 6 6 5 4 3 3 3 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 4 5 5 5 4 5 5 5 6 7 7 7 7 7 6 5 5 6 7 9 9 9 8 7 6 5 5 6 6 6 6 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 7 5 4 5 7 10 11 9 8 8 8 8 7 3 0 -0 -0 2 6 8 7 7 6 4 5 5 6 5 7 11 15 15 10 7 6 5 7 11 14 16 13 9 6 4 3 3 3 5 7 7 7 6 6 6 7 6 6 5 5 4 4 4 4 4 4 3 3 2 2 1 1 2 3 3 4 6 8 10 8 6 6 6 8 8 8 6 5 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 7 8 10 14 16 14 10 9 14 20 26 26 18 10 12 22 25 19 7 -2 -2 0 1 2 2 3 4 5 6 6 7 7 7 10 13 11 7 8 10 12 13 12 10 8 8 11 13 13 11 11 9 7 5 7 7 6 6 6 5 7 10 13 14 14 12 11 8 8 11 13 12 10 7 5 6 8 9 10 8 6 3 3 2 3 1 -4 -3 1 0 1 6 7 7 7 9 13 13 10 9 9 11 12 10 5 5 4 4 9 13 13 11 10 10 9 8 8 8 7 7 6 5 5 6 5 5 7 8 9 9 8 4 3 4 4 5 5 4 4 4 5 7 9 9 7 6 6 6 6 6 6 6 5 5 6 6 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 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 9 10 10 11 12 11 11 11 10 9 8 7 6 9 16 20 15 8 7 8 8 7 6 7 10 12 13 14 14 8 -3 -4 2 6 7 7 8 7 6 7 12 16 17 16 14 12 10 8 7 6 4 3 3 4 6 6 4 3 4 4 4 4 5 6 7 6 5 5 3 3 3 5 6 7 7 6 5 4 3 4 4 4 4 4 5 5 4 4 2 2 2 2 2 2 2 3 5 4 3 3 4 4 5 5 6 6 7 7 6 6 6 5 6 8 10 12 11 8 7 6 6 5 6 6 6 6 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 9 6 5 5 6 7 6 5 7 10 9 9 7 4 3 1 1 2 4 5 6 5 4 4 5 5 6 6 5 7 12 14 11 8 7 6 7 9 14 17 14 10 7 5 4 3 4 5 7 8 7 7 7 7 6 6 6 5 5 4 4 3 3 4 4 3 3 3 2 2 2 3 2 2 3 6 9 9 6 3 3 4 6 8 9 8 6 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 6 8 11 16 23 24 14 5 6 12 17 25 30 24 14 16 25 23 12 0 -6 -3 0 1 1 2 3 5 6 6 6 7 7 10 16 19 13 9 11 14 15 13 12 10 8 8 9 11 9 7 9 12 10 9 9 7 5 5 2 -0 2 10 15 15 11 8 10 11 11 13 13 12 10 8 6 6 8 9 9 7 5 4 2 2 3 -2 -3 1 4 -1 0 5 5 6 10 14 13 8 7 7 5 8 9 6 3 4 3 5 8 9 9 9 9 9 9 8 8 8 7 6 6 5 6 5 5 5 6 6 6 7 6 4 3 4 5 5 5 4 4 4 5 8 9 9 8 7 7 6 6 5 5 5 5 5 5 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 7 7 8 7 7 7 7 8 8 9 10 11 10 9 8 8 8 7 5 6 9 11 11 9 8 8 7 6 5 7 8 8 11 13 13 9 1 -2 4 8 8 8 8 7 7 7 7 8 10 11 10 10 11 12 12 8 4 1 3 5 5 6 4 3 3 3 3 4 4 5 5 7 7 6 5 4 3 3 5 6 7 8 7 5 4 4 3 4 3 3 4 4 4 4 4 4 4 4 2 2 3 5 5 3 2 2 3 5 5 5 6 6 6 6 6 6 6 5 5 6 9 10 9 7 6 6 5 5 5 5 6 6 6 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 9 8 6 5 5 3 1 2 7 11 11 9 8 7 6 5 4 3 3 4 4 4 3 4 5 6 7 6 4 4 6 9 9 8 7 7 7 9 12 15 14 11 8 7 6 5 5 5 6 7 7 7 8 8 7 7 6 5 5 5 4 3 3 4 4 4 4 3 2 3 3 2 1 1 2 6 7 6 4 2 2 3 4 6 8 8 7 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 4 8 12 16 23 28 22 7 1 6 9 13 23 29 28 23 19 15 8 2 -3 -5 -2 -1 -1 -0 1 2 4 5 6 7 9 10 9 14 17 13 10 13 17 17 14 12 12 9 7 7 6 4 5 10 14 11 9 8 6 5 5 -1 -6 -1 8 14 11 4 1 4 8 10 11 12 12 11 9 7 6 8 9 8 7 6 4 3 2 -0 -3 1 9 10 3 3 5 4 6 11 15 10 2 6 15 20 16 9 3 3 4 4 8 9 8 7 8 9 9 9 8 8 7 7 6 5 5 6 5 5 5 5 4 4 5 6 5 3 4 5 5 5 4 3 4 6 7 8 8 7 7 6 5 5 5 4 4 4 4 4 5 6 6 6 6 5 5 4 5 5 5 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 5 6 6 7 7 7 7 8 8 8 7 7 8 7 6 6 5 6 8 9 9 8 7 8 9 10 6 1 4 10 11 9 4 3 8 10 9 8 8 8 8 7 6 5 5 5 5 4 4 11 17 11 6 1 0 4 6 6 5 4 3 3 3 3 4 3 4 5 6 7 7 6 4 3 3 4 6 7 8 7 5 4 4 3 3 3 3 4 4 4 4 6 8 7 4 3 5 7 6 4 2 1 3 6 6 5 6 6 5 5 6 6 6 5 4 4 6 6 5 4 5 4 4 4 5 5 5 5 6 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 9 8 7 6 5 3 2 4 8 12 11 9 8 7 7 6 5 4 4 4 4 3 3 4 5 6 7 7 7 5 5 6 6 6 7 8 8 9 10 12 12 11 10 8 7 8 9 9 8 6 4 5 7 9 9 8 7 6 5 5 4 3 3 3 4 4 3 3 3 3 3 2 0 1 3 6 6 4 2 2 3 3 4 4 5 7 7 6 5 5 4 4 3 3 3 3 4 4 5 5 5 5 4 2 3 8 13 15 17 19 18 10 0 -1 4 6 11 19 21 20 20 9 0 -4 -4 -4 -4 -3 -3 -2 -1 1 3 4 5 6 11 15 15 12 10 9 9 10 12 15 14 14 15 14 10 7 6 6 6 8 13 13 7 3 4 5 5 6 0 -6 -1 7 10 8 2 -2 2 6 8 9 11 12 10 7 5 5 5 6 7 6 6 4 3 1 -1 -0 5 12 11 3 0 1 3 3 5 8 6 2 6 18 27 20 9 3 6 8 10 11 11 8 7 8 9 9 8 8 8 7 6 6 5 5 6 6 5 5 5 5 5 5 5 5 4 5 6 5 4 3 3 4 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 6 6 7 6 6 5 5 5 6 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 7 6 6 6 5 6 6 6 6 5 6 6 7 7 7 8 8 7 6 5 6 7 9 9 9 9 10 13 15 10 -0 -0 6 9 7 5 8 11 9 8 8 8 8 8 8 7 6 6 5 5 5 5 7 11 12 8 4 3 4 5 5 5 4 3 3 3 3 3 3 3 3 5 6 8 8 7 5 3 3 4 6 8 8 7 5 4 3 3 3 4 4 4 4 4 6 9 9 6 5 7 8 8 7 3 2 4 6 7 8 7 6 5 5 5 5 6 6 5 4 3 4 3 3 2 2 3 3 5 5 5 6 6 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 8 7 6 6 5 6 8 11 12 10 8 6 6 6 6 6 6 6 6 5 4 3 3 4 6 8 9 10 9 7 6 5 4 5 6 8 9 9 10 12 13 13 12 13 17 19 17 11 5 2 3 7 11 11 9 7 6 5 4 3 3 3 3 4 4 3 3 3 4 4 2 0 1 4 7 6 3 1 2 4 5 5 4 4 5 6 6 6 6 5 4 3 2 2 2 3 4 5 6 6 5 3 3 10 20 20 13 11 10 5 -0 -3 -0 5 6 8 12 10 3 2 0 -5 -7 -5 -5 -4 -4 -3 -2 -0 2 2 3 6 11 17 21 19 14 10 8 8 9 9 8 8 13 19 18 10 6 7 9 9 8 9 10 7 4 4 5 5 6 3 -4 0 7 8 6 3 2 4 8 10 10 11 11 9 5 4 3 1 2 3 5 5 4 2 1 0 2 6 9 6 1 -2 1 4 -3 -5 -1 3 5 9 15 19 15 10 9 12 16 18 15 10 7 7 8 9 9 8 8 7 6 6 6 5 5 6 6 6 5 5 5 5 6 6 5 5 6 6 4 3 3 4 5 6 5 4 4 4 4 4 3 3 3 3 4 4 4 5 6 6 7 7 7 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 8 8 8 5 5 5 6 8 9 9 9 10 11 13 12 6 2 4 5 3 7 15 14 9 6 6 7 8 8 8 7 7 7 7 6 6 7 9 10 10 9 7 5 5 5 4 4 3 2 2 3 3 2 3 3 3 3 4 6 8 9 8 6 4 5 6 7 8 9 8 6 5 4 3 4 4 4 4 5 7 8 8 7 6 7 8 8 7 5 3 4 6 7 8 7 7 7 6 5 4 5 5 5 5 4 3 2 3 3 2 2 3 4 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
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nan 7 6 6 6 6 5 5 6 7 9 13 16 16 13 11 9 8 7 7 7 7 7 8 7 6 5 5 7 10 12 13 11 8 6 4 3 2 4 6 7 9 14 19 18 13 8 10 14 16 12 5 1 3 7 12 11 8 5 4 4 4 4 5 5 4 4 4 4 3 3 3 4 3 2 2 4 7 8 7 5 4 6 9 9 6 3 2 2 3 4 5 6 6 5 3 2 3 4 4 5 5 5 5 6 11 18 22 16 2 -0 3 4 2 2 4 8 16 20 15 4 -4 -15 -27 -18 -5 -4 -5 -4 -3 -2 0 2 3 4 5 8 14 17 15 12 10 9 10 13 14 13 10 7 6 8 11 9 7 7 9 8 9 5 6 8 8 8 8 8 7 9 8 -1 -2 4 4 4 6 8 9 11 14 13 10 8 6 5 5 2 0 -2 4 5 1 5 6 3 3 4 4 2 -4 -5 4 15 12 2 -1 0 4 7 9 12 16 19 17 15 14 12 10 7 5 5 6 6 7 8 8 7 6 6 6 6 6 6 6 6 5 5 5 5 7 6 4 3 5 7 7 5 4 4 5 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 5 4 3 3 4 5 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 7 8 8 8 7 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 7 5 4 3 5 7 7 4 4 3 3 3 4 5 6 6 6 6 6 7 7 5 1 -6 -4 9 22 27 24 19 15 14 13 12 12 12 11 13 13 11 9 8 8 10 15 17 15 11 7 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 7 9 11 11 10 8 7 8 10 12 9 6 4 4 4 4 4 6 7 6 5 5 4 4 5 6 6 5 5 5 5 5 6 6 6 7 9 10 7 4 4 5 7 9 10 8 6 6 5 4 5 5 6 6 6 6 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 6 5 5 5 6 8 12 17 19 17 14 10 8 7 6 6 6 6 7 7 7 7 6 7 9 12 13 10 7 6 4 3 4 6 9 9 11 14 17 13 4 -1 1 6 9 7 4 3 5 9 12 9 5 3 3 3 3 4 5 5 5 4 3 3 3 3 3 4 3 3 4 7 8 7 5 4 5 8 12 11 6 3 2 2 2 3 4 5 5 4 4 4 4 5 5 5 5 5 6 13 20 22 14 2 -3 -1 3 5 5 5 6 13 24 31 24 10 2 -4 -15 -18 -10 -6 -5 -4 -2 0 2 4 5 5 5 10 14 14 12 10 9 10 11 14 16 15 11 9 8 6 5 2 5 9 10 11 8 4 4 7 8 10 9 8 8 9 9 2 -1 4 4 3 5 8 11 13 15 14 11 7 6 6 6 3 2 2 9 8 1 4 6 4 3 4 4 1 -3 -6 -1 7 8 6 6 4 4 5 7 9 13 15 14 12 10 9 6 5 5 5 6 6 6 7 8 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 4 3 5 7 8 8 5 5 5 5 7 7 6 6 6 7 7 8 8 8 8 7 7 6 6 6 7 6 6 5 4 3 3 3 4 6 6 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 5 6 5 4 5 5 6 7 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 6 6 7 7 8 8 7 4 2 2 4 4 3 4 4 3 3 3 3 3 3 4 5 5 5 4 3 -3 -6 0 8 14 20 24 23 21 19 18 16 15 15 17 17 18 18 16 14 11 11 14 19 21 17 10 6 5 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 5 7 9 12 12 9 8 8 10 12 10 6 5 5 4 3 4 5 6 6 5 4 3 4 5 6 6 6 6 5 5 6 6 5 3 2 8 12 10 6 4 4 7 10 12 9 7 5 5 5 6 6 6 7 7 7 6 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 7 6 6 5 5 6 7 9 12 13 13 10 8 7 6 5 5 4 4 5 8 9 9 8 8 9 11 13 12 9 6 5 5 6 9 13 13 11 12 12 9 3 -2 -1 4 7 8 6 5 6 8 9 6 2 1 2 2 3 3 4 4 4 4 3 3 3 3 3 3 4 5 7 9 7 4 2 2 4 9 13 12 7 4 3 3 3 3 3 3 4 4 4 5 6 6 6 5 3 4 8 17 19 13 5 -2 -3 -0 5 7 9 7 6 18 25 27 23 10 2 -4 -11 -14 -9 -5 -3 -1 1 3 5 5 5 5 5 8 11 11 12 13 12 10 9 12 14 15 12 11 10 7 7 6 6 9 10 11 7 4 4 6 7 9 9 8 7 7 7 3 1 4 5 4 5 6 9 12 14 14 11 8 6 7 7 6 5 6 8 7 5 4 5 4 3 4 4 1 -1 1 5 5 4 7 8 7 5 5 6 8 10 10 10 9 9 7 6 5 5 5 5 6 6 7 8 7 6 6 6 6 6 6 6 6 5 4 4 5 6 6 4 3 4 7 8 9 7 5 5 6 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 6 6 5 4 4 3 4 4 5 6 7 8 8 8 8 7 7 8 8 9 8 8 7 6 6 6 6 6 6 5 5 6 7 7 8 8 7 6 5 5 5 4 4 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 7 7 8 9 8 7 5 4 2 4 5 5 5 3 2 2 1 1 2 3 3 3 3 2 -2 -3 2 6 7 10 14 16 16 15 15 14 14 14 16 18 20 22 22 20 16 15 16 20 25 24 16 9 6 4 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 7 10 11 10 8 8 10 11 9 6 5 4 4 3 3 5 6 6 5 4 4 4 5 6 5 6 6 5 5 6 7 6 2 1 4 8 10 8 6 4 6 9 11 10 7 5 5 5 6 6 6 7 7 7 7 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 9 8 7 6 6 6 6 7 7 6 6 4 4 5 6 6 6 5 3 3 4 7 9 10 10 9 9 10 13 14 12 9 7 6 7 12 17 15 9 6 8 9 8 5 4 7 9 9 8 5 4 5 6 4 2 1 2 2 3 3 3 4 4 4 4 3 3 3 3 3 4 6 9 8 5 2 0 -0 1 7 12 12 8 5 5 6 5 4 3 3 3 4 5 6 6 7 6 4 3 5 9 12 8 1 -2 -2 0 4 8 9 9 7 7 14 11 6 7 0 -5 -11 -14 -11 -3 0 1 2 4 6 7 6 6 7 7 7 9 11 15 16 13 8 7 9 12 14 14 12 10 7 9 10 7 5 7 9 8 7 6 5 6 7 7 6 6 5 5 3 2 3 5 5 4 5 7 10 12 12 11 8 7 7 8 8 7 7 3 6 9 5 5 5 4 4 3 -0 1 7 9 5 1 3 6 7 5 4 6 7 8 9 8 8 8 6 5 4 5 5 5 6 7 7 8 7 6 6 6 6 6 6 6 6 5 4 4 5 6 6 5 3 3 5 8 10 9 6 5 6 7 7 7 7 8 8 9 9 9 9 8 8 8 7 6 6 4 3 3 3 4 5 6 8 9 9 9 9 8 9 8 9 9 10 10 10 9 7 7 7 7 7 6 6 6 6 7 8 8 8 7 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 9 11 17 20 12 4 4 4 5 5 4 3 2 1 0 -0 0 2 2 1 1 -1 -1 2 3 4 5 7 8 8 8 7 9 9 10 11 14 17 20 21 20 18 17 17 21 25 27 22 15 8 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 4 5 6 8 10 10 8 8 10 11 9 6 4 3 3 3 3 4 5 7 7 6 5 5 5 5 5 5 5 5 6 7 7 6 4 2 2 4 7 9 7 5 5 7 10 11 7 5 5 5 6 6 6 7 6 6 7 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 10 9 7 6 6 7 6 7 7 5 2 -0 1 3 4 5 6 5 4 3 3 5 8 10 10 9 9 10 13 15 14 11 8 6 9 15 19 14 6 2 3 8 12 13 10 9 9 10 7 3 2 3 4 4 3 2 2 3 2 2 3 4 4 5 4 4 4 4 3 4 5 7 9 7 5 3 1 -1 -1 4 9 10 9 7 6 7 7 5 5 4 4 4 4 5 6 7 6 5 5 6 7 5 1 -2 -3 0 6 9 11 10 10 9 8 6 1 -4 -6 -8 -7 -7 -6 -1 3 5 5 6 7 8 9 10 12 16 14 9 8 10 14 14 11 8 7 7 9 11 14 13 11 7 6 7 7 4 6 9 10 9 7 6 6 8 7 4 6 7 7 5 3 3 3 4 4 6 8 10 11 11 9 9 8 8 8 9 8 7 4 6 8 6 7 9 6 4 2 -1 1 7 8 5 2 2 3 6 6 6 8 9 8 7 7 6 6 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 6 5 4 5 5 6 8 9 6 3 3 7 11 11 8 6 6 7 8 8 8 9 8 8 9 9 9 8 8 7 6 5 4 3 3 3 5 6 7 9 10 10 11 10 10 9 9 10 11 11 12 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 7 7 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 11 23 28 17 6 4 4 4 5 5 5 5 4 2 0 -0 1 1 -1 -1 -0 1 2 3 2 4 6 5 5 5 5 5 6 7 8 9 12 15 17 18 19 17 16 17 20 24 23 19 12 8 5 5 4 3 3 4 4 4 3 3 3 3 3 3 4 5 5 6 8 9 8 9 9 9 8 6 5 3 3 3 3 3 5 7 8 8 7 6 5 4 4 5 5 5 5 6 6 6 5 3 2 2 4 7 8 7 6 6 8 8 6 5 5 5 5 6 5 5 6 6 6 6 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 7 5 5 6 7 9 10 7 2 -0 -0 1 3 5 6 6 6 5 4 5 8 10 10 9 9 10 11 12 12 10 7 7 10 16 18 11 4 1 2 5 11 14 12 9 8 8 6 3 2 3 4 4 3 3 3 3 3 3 3 4 5 6 7 6 6 5 4 4 5 8 8 7 6 5 3 1 -0 1 4 7 7 6 6 7 7 7 7 7 5 4 3 4 5 6 8 9 9 6 4 2 1 1 1 6 11 11 11 10 10 11 9 6 6 7 8 9 7 6 6 7 7 7 7 8 9 9 13 18 22 24 20 12 8 8 8 8 7 6 6 6 7 9 13 14 14 9 3 3 6 8 9 9 9 10 9 8 7 8 7 3 7 9 7 4 2 2 2 4 5 7 9 11 12 10 8 8 8 8 8 8 8 8 8 8 7 7 9 9 7 5 3 1 2 5 6 6 4 3 4 8 12 14 14 11 7 6 5 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 6 7 9 9 5 3 3 7 11 11 9 6 7 9 9 9 9 9 8 8 8 8 8 8 7 6 5 4 3 3 4 5 7 9 10 11 12 12 11 10 10 10 10 12 13 13 13 11 10 9 8 8 8 8 7 7 7 7 7 8 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 5 6 6 6 6 6 6 5 6 7 9 20 25 15 8 5 4 4 5 5 6 7 6 5 3 2 1 1 -1 -2 -1 1 2 2 2 3 4 4 5 5 4 4 5 5 5 7 9 11 14 16 16 16 15 14 16 20 21 19 15 12 10 8 5 3 3 4 5 5 4 3 4 4 4 4 4 4 5 5 6 7 9 9 9 8 7 6 5 3 3 2 3 4 5 7 9 10 9 7 6 4 4 4 4 4 4 5 5 5 5 5 3 1 2 4 6 7 7 7 7 7 5 4 4 4 4 5 5 5 6 6 6 6 6 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 6 6 5 4 5 7 11 14 12 8 4 2 1 2 4 6 8 8 9 7 7 8 10 10 9 9 9 8 8 8 7 6 7 10 14 13 8 4 2 2 4 7 10 10 8 7 6 8 7 6 5 5 4 4 3 3 3 3 4 3 4 4 6 9 9 8 6 5 4 6 7 8 8 6 5 3 1 0 0 2 4 4 4 6 7 7 7 8 8 7 5 3 3 4 6 12 15 11 5 3 3 3 4 5 8 10 10 10 10 12 14 12 6 5 12 24 28 22 16 12 9 8 8 8 9 9 10 13 18 21 19 16 11 8 6 6 6 6 6 5 6 6 8 10 14 15 10 4 2 4 8 10 10 9 9 10 10 10 10 9 7 5 5 4 3 2 2 3 4 6 8 10 12 12 10 8 8 8 8 8 8 9 9 10 8 6 8 8 6 6 5 4 4 4 4 4 4 3 2 4 9 14 16 12 9 7 5 4 4 5 5 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 7 6 5 5 4 6 7 9 8 6 4 3 4 6 9 9 8 8 9 10 9 9 9 9 9 8 7 6 7 7 6 6 5 4 4 4 7 9 10 12 12 12 12 11 10 10 10 11 12 14 14 13 12 11 10 9 8 8 8 8 8 7 7 8 7 7 8 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 6 7 7 7 6 6 6 6 7 6 6 6 6 6 5 5 5 5 6 5 6 6 6 6 6 5 6 6 6 8 17 22 15 8 6 5 6 6 6 5 6 7 6 5 4 3 1 -1 -3 -2 1 1 1 2 2 3 3 4 4 4 4 4 5 5 5 6 8 10 13 13 13 14 14 16 18 21 21 20 18 16 12 9 6 4 4 5 5 4 4 5 5 5 4 4 4 4 5 6 7 8 7 8 7 6 6 5 4 3 2 3 3 5 7 9 10 10 9 7 6 5 5 4 4 4 4 5 5 6 6 5 3 2 2 4 6 7 7 7 6 5 4 4 4 4 4 5 5 6 6 6 7 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 7 6 6 5 4 4 4 6 10 15 16 14 10 6 3 3 4 6 9 11 12 11 10 10 11 11 10 8 7 6 6 5 5 5 6 8 9 8 7 6 5 4 5 5 7 7 7 6 6 9 11 10 9 8 6 4 3 3 3 4 4 4 3 4 5 8 11 11 9 6 5 6 8 9 8 5 3 3 2 1 2 2 3 3 3 5 6 5 6 7 8 7 6 4 3 4 6 12 10 5 4 4 4 5 5 5 6 9 10 9 13 17 18 15 8 3 10 22 25 20 14 11 9 9 10 11 11 10 9 8 9 11 11 10 8 7 7 7 7 8 7 6 6 6 6 7 12 14 10 6 4 2 5 8 8 9 9 10 12 13 14 13 11 6 4 3 3 2 2 3 5 6 8 10 12 12 10 9 8 8 9 8 8 8 9 9 8 7 6 4 4 5 2 5 8 6 4 3 2 -0 -2 1 6 10 11 9 8 6 5 5 6 6 6 5 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 7 8 7 5 5 4 4 6 8 8 8 9 9 8 8 7 7 8 8 7 6 5 5 6 5 5 5 6 7 8 10 12 12 12 12 12 10 9 10 10 11 13 13 14 13 12 10 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 7 7 6 6 5 5 5 5 4 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 6 6 7 7 7 6 6 7 6 6 5 5 5 6 6 6 6 6 6 6 5 5 6 6 9 18 21 16 9 7 7 7 8 6 6 5 6 6 6 5 4 1 -3 -4 -0 3 2 1 1 2 2 2 2 3 3 4 4 4 4 4 5 6 8 9 9 10 11 13 15 17 21 24 25 24 22 18 15 11 8 5 3 3 5 6 7 7 6 5 4 3 4 4 5 6 7 7 7 7 6 6 5 4 4 3 2 3 4 6 8 9 10 10 8 7 7 6 5 4 3 4 5 7 8 8 7 5 3 3 4 6 7 7 6 6 5 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 8 7 7 6 6 5 5 6 8 11 14 16 15 11 6 4 3 5 9 13 15 14 12 13 14 13 11 9 7 7 6 5 5 5 5 5 6 6 7 8 7 6 5 5 5 6 6 6 6 8 10 10 11 10 8 6 4 3 3 3 3 3 3 4 5 7 10 11 10 8 7 9 12 12 7 3 2 2 3 3 4 4 4 3 4 4 4 4 4 6 8 8 7 6 5 5 6 7 4 3 4 4 5 5 5 5 6 10 11 11 19 26 27 22 19 18 20 20 15 11 9 8 9 11 13 14 14 12 9 6 5 7 9 9 7 6 6 7 9 10 8 7 6 6 6 6 9 11 8 6 3 1 3 7 7 8 8 8 11 14 15 14 12 9 5 4 3 3 3 3 4 5 7 10 12 12 11 9 8 8 8 9 9 8 9 9 8 7 5 2 3 2 -2 5 12 8 4 2 0 -2 -2 2 6 9 8 8 8 7 7 8 8 7 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 5 6 6 5 5 5 5 7 7 5 6 7 6 5 5 5 5 6 6 6 5 5 5 5 4 5 7 9 11 12 12 13 12 12 11 10 9 9 9 11 12 13 12 12 11 9 9 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 6 6 6 6 5 6 6 6 5 5 5 6 6 5 5 5 5 8 15 20 16 10 8 9 10 9 8 7 6 6 6 6 6 5 -1 -8 -6 1 6 6 4 2 1 1 1 1 2 3 3 4 4 4 4 4 5 6 7 8 8 8 9 11 13 17 23 27 27 24 21 19 16 11 7 5 4 4 6 8 8 8 6 5 4 4 4 5 6 6 7 7 7 7 6 6 5 5 4 3 3 3 5 6 7 8 9 9 8 7 7 5 4 3 4 6 8 9 9 8 6 4 3 4 5 6 7 6 5 4 4 4 4 4 5 5 6 7 7 6 6 6 6 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 9 8 8 8 8 8 8 8 8 10 14 17 14 7 2 1 4 8 12 13 13 12 13 15 15 12 9 8 7 6 7 6 6 5 4 5 6 7 8 8 7 6 5 5 5 5 5 5 5 6 7 8 9 9 8 6 4 4 4 3 3 4 4 5 6 8 10 10 11 13 16 18 13 6 3 2 2 3 5 6 5 4 3 3 4 3 3 4 8 11 11 9 7 6 6 5 5 4 4 4 4 4 5 5 5 6 10 11 14 22 29 34 38 38 35 27 15 8 6 7 8 10 12 14 16 14 12 9 7 7 9 11 10 8 6 6 6 9 10 8 6 6 6 7 6 6 7 6 5 3 3 4 7 7 8 7 8 8 10 12 12 11 10 7 4 3 3 4 5 4 4 7 10 12 13 11 9 7 6 8 9 9 8 8 8 8 7 5 3 5 0 -5 4 12 6 -0 0 1 1 5 9 12 11 8 8 8 8 9 9 8 7 7 6 5 5 6 6 7 7 7 7 7 7 7 7 8 7 7 6 5 4 5 4 4 5 5 5 5 6 7 8 6 4 4 5 3 3 3 4 4 4 5 5 4 4 4 4 5 7 10 13 13 13 13 12 11 10 9 9 9 10 10 11 12 11 10 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 6 7 7 7 6 7 7 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 6 11 18 16 11 9 10 11 9 8 7 8 7 7 7 7 5 -0 -13 -12 2 9 10 7 5 3 2 2 1 1 2 3 3 4 4 4 4 4 4 5 6 7 7 7 6 8 11 14 20 23 23 22 21 19 15 13 12 10 8 6 7 8 9 8 6 5 4 4 5 5 6 7 7 7 7 7 6 6 6 6 5 4 3 4 5 6 7 8 8 7 7 7 6 3 3 4 5 7 9 8 8 6 5 4 4 4 6 7 6 5 4 3 3 4 4 5 5 6 7 6 6 5 5 5 5 5 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 9 12 12 11 10 11 11 12 11 10 10 10 11 12 13 13 12 7 6 12 15 13 6 4 11 17 15 11 11 13 13 14 14 14 14 12 11 9 8 9 10 12 13 12 11 12 11 9 9 8 8 9 8 11 15 14 14 15 15 15 14 15 17 16 9 9 13 17 19 18 16 14 13 15 16 16 14 14 16 17 17 15 13 12 11 11 11 11 11 12 12 13 13 13 13 13 14 13 13 14 14 14 13 13 13 12 12 12 13 15 16 15 15 16 16 17 17 17 16 15 13 12 11 11 12 13 13 13 14 14 14 15 14 14 13 12 11 11 12 14 17 18 17 17 17 18 17 15 15 15 15 16 16 15 15 16 16 17 17 17 18 20 20 21 19 17 16 14 13 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 12 12 13 13 13 12 11 11 11 10 10 10 11 11 12 11 11 11 11 12 11 12 13 14 15 17 17 17 17 17 17 16 17 17 17 17 18 17 17 17 17 16 16 16 16 16 17 17 17 18 18 18 16 14 14 16 16 15 10 7 10 13 15 16 18 20 20 18 16 14 12 13 13 12 12 13 13 13 13 13 14 15 14 13 12 11 12 12 11 11 11 10 11 11 11 11 11 12 11 10 10 10 11 11 10 11 11 11 11 11 10 10 10 9 10 10 11 11 10 10 10 9 8 7 7 9 10 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 11 12 11 11 11 12 12 12 12 12 12 13 12 13 13 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 11 11 15 18 17 14 15 17 16 14 14 13 10 10 10 12 14 15 16 17 17 17 16 17 18 20 21 22 23 22 19 18 17 17 16 13 12 12 12 11 11 11 10 9 8 10 11 12 12 11 10 10 10 10 10 10 10 11 12 12 11 11 11 11 12 12 11 10 10 10 9 11 11 10 11 11 11 11 10 11 11 11 12 12 13 14 15 14 12 9 10 13 13 13 12 11 12 12 12 11 10 11 12 12 12 12 12 13 14 14 14 14 14 13 13 13 13 13 13 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 10 11 12 14 14 13 14 13 12 10 10 14 19 12 4 3 8 10 9 7 8 10 11 12 12 13 13 12 10 8 8 10 11 12 12 11 12 12 11 9 8 9 12 14 12 14 16 16 15 14 14 14 14 14 13 9 8 12 17 20 19 17 14 13 12 13 14 14 14 14 14 14 14 13 12 11 11 11 11 11 12 12 12 13 13 13 13 13 14 14 13 14 14 14 13 13 13 12 12 12 12 13 13 13 14 15 16 17 17 17 15 13 12 12 11 11 11 11 12 12 13 14 14 14 15 15 14 12 12 12 13 14 15 16 17 16 15 15 16 15 15 15 15 16 16 15 14 15 15 16 17 17 18 19 20 21 20 19 18 16 14 12 11 12 12 13 12 12 11 12 12 13 13 13 13 13 12 12 14 16 16 14 13 12 11 11 11 10 11 11 11 11 11 11 11 11 12 12 13 14 14 15 16 16 17 16 16 16 16 17 17 16 16 17 17 17 17 16 15 14 15 16 17 17 17 17 16 14 12 13 15 16 15 14 13 13 15 16 16 18 22 25 21 16 12 12 12 13 13 12 13 13 12 13 13 14 13 13 13 13 12 11 12 12 12 12 11 11 11 12 12 11 12 12 12 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 9 8 9 9 9 11 11 11 12 11 11 11 11 11 11 10 11 11 11 11 11 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 15 16 15 12 13 20 19 14 11 9 7 6 9 13 15 15 16 17 17 17 17 17 18 19 20 22 23 22 21 20 17 16 14 13 12 12 11 10 10 10 10 9 9 9 11 13 13 12 11 10 10 10 10 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 11 12 11 11 11 11 11 12 14 15 16 15 11 7 8 11 14 13 12 12 12 11 11 10 10 11 12 12 12 13 13 14 14 14 13 13 14 13 13 14 13 13 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 11 10 9 14 15 8 4 7 11 13 11 7 7 9 11 12 12 12 13 11 8 9 10 11 12 12 13 12 13 12 10 9 9 12 15 16 15 15 14 14 14 13 13 13 12 11 11 12 15 17 18 18 16 13 11 10 10 11 14 13 12 12 12 12 13 12 12 11 11 11 11 12 13 12 12 13 13 13 13 13 14 15 15 14 14 14 14 13 12 12 12 12 12 12 12 12 13 14 16 16 17 16 14 12 12 12 12 11 11 11 12 13 13 13 14 14 14 15 14 14 14 14 14 15 16 16 16 15 15 16 16 15 15 15 15 15 15 14 15 16 17 18 19 19 19 18 18 18 19 19 18 17 15 14 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 15 17 16 15 14 14 13 12 11 11 11 11 10 11 11 11 12 12 12 12 13 13 14 15 15 16 16 16 16 15 16 16 16 17 17 17 17 17 15 14 13 14 14 15 15 16 16 16 15 12 13 15 18 16 13 14 16 16 16 16 16 16 16 14 10 9 9 12 13 14 13 12 12 12 13 13 13 14 14 13 13 14 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 13 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 9 9 7 8 10 11 11 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 14 14 15 15 14 16 14 10 7 8 10 11 14 15 15 16 16 16 17 17 17 17 19 20 20 22 23 22 22 19 17 14 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 12 12 11 10 10 10 10 10 10 12 13 14 13 12 11 11 11 10 9 10 10 11 11 11 11 11 10 10 11 12 12 11 11 11 12 14 17 17 14 10 8 9 12 13 12 12 13 11 10 10 10 11 11 12 12 12 14 14 14 14 14 14 13 12 12 13 14 14 14 15 16 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 10 14 15 11 9 12 14 14 13 12 12 11 10 10 11 12 12 12 13 13 13 12 11 9 9 10 13 16 15 14 13 13 13 13 12 12 11 11 12 13 14 16 16 16 14 12 11 9 9 10 11 12 12 11 12 14 12 11 12 12 12 11 11 11 12 13 13 13 12 13 13 13 14 14 15 15 15 15 15 13 12 10 10 11 12 12 11 12 13 13 14 13 13 14 15 14 13 13 13 13 12 12 12 13 13 13 14 14 14 13 14 15 15 15 15 15 17 17 16 16 16 16 16 16 15 15 15 15 14 14 14 15 16 17 18 19 19 18 17 17 16 16 16 17 16 16 15 13 12 12 12 13 14 14 14 14 14 14 13 13 13 13 13 14 14 14 13 13 15 16 14 13 11 11 11 11 11 11 11 12 12 12 13 14 14 14 15 15 15 15 16 16 16 17 17 17 18 18 18 18 16 15 14 14 14 15 15 15 15 16 16 14 13 14 16 18 14 11 14 16 16 15 15 14 11 10 9 9 9 12 13 14 13 12 12 12 13 13 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 11 10 10 10 11 10 9 9 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 12 13 12 12 12 13 12 13 13 12 12 12 12 12 12 12 12 13 12 12 12 13 13 13 13 13 14 15 16 16 14 13 11 10 11 13 16 16 15 14 15 16 17 17 17 17 17 19 20 21 22 23 23 23 22 17 14 13 12 11 11 11 11 11 12 12 13 13 13 12 12 13 13 12 11 11 11 10 10 10 9 10 11 13 13 13 12 11 11 11 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 13 14 16 18 15 11 9 9 10 11 12 12 12 11 9 10 11 11 12 12 13 12 12 13 13 14 15 15 13 12 12 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 14 13 10 10 11 12 12 13 13 12 13 13 12 12 10 9 9 11 14 15 14 13 13 12 12 11 11 10 10 10 10 12 13 13 13 13 12 12 11 11 11 10 8 7 9 11 15 15 12 11 11 11 11 11 12 12 12 12 13 13 13 12 13 13 14 14 15 15 15 15 15 14 11 8 9 11 13 12 12 13 13 13 12 12 12 13 13 14 15 15 15 15 14 13 13 13 13 14 14 13 13 14 14 15 15 16 16 16 16 16 16 16 16 17 16 16 16 16 15 15 15 15 15 15 16 16 16 16 16 15 14 16 16 16 16 17 17 17 16 14 13 13 13 12 13 13 14 14 14 13 13 14 13 13 13 14 13 12 11 12 13 14 15 15 13 12 11 12 11 11 11 12 12 13 13 14 15 15 14 14 14 15 16 17 18 19 20 21 20 20 19 18 17 15 14 14 14 14 15 15 15 14 14 14 14 15 15 16 16 16 16 16 15 15 14 12 11 11 11 11 11 10 10 11 11 11 12 13 13 14 14 14 14 13 12 12 12 12 12 13 13 13 13 12 13 13 12 11 12 12 11 12 12 11 11 11 12 11 10 10 10 11 11 11 11 11 10 10 10 10 9 10 10 11 11 12 12 11 11 11 11 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 13 13 13 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 15 17 16 14 12 12 12 13 12 14 16 17 15 14 14 16 17 17 17 17 17 18 20 22 23 24 24 25 24 20 18 15 12 12 12 11 12 12 12 12 12 12 13 13 12 12 12 12 11 11 11 11 10 10 10 10 9 9 11 12 12 12 11 11 11 10 9 9 10 11 11 10 10 10 11 11 11 12 11 11 12 12 13 14 16 16 16 14 11 9 9 10 13 14 11 9 9 9 10 11 11 12 13 13 13 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 13 12 13 13 12 11 10 10 13 14 14 13 13 12 12 11 10 10 10 10 10 10 9 10 11 12 12 12 12 12 12 12 8 3 3 8 14 18 16 11 11 11 11 11 11 11 12 12 12 12 13 12 12 13 13 13 13 15 15 14 14 15 14 12 10 10 11 12 12 12 13 13 12 12 12 12 13 14 14 15 15 15 16 15 13 12 12 13 13 14 14 13 14 15 16 17 17 17 17 17 16 15 15 16 16 16 16 16 16 16 16 16 16 16 15 15 15 14 14 13 13 13 14 15 15 17 18 19 19 18 16 15 13 13 13 13 13 13 13 13 13 12 13 13 13 14 14 13 13 12 12 12 13 16 17 15 13 12 12 11 12 12 12 13 14 14 15 15 15 15 15 15 15 16 18 20 23 25 25 25 22 19 16 15 14 13 13 14 15 16 15 15 13 12 12 14 16 16 16 16 16 16 14 13 12 11 10 10 9 10 10 9 9 8 8 10 12 12 13 14 14 13 14 13 12 12 13 12 12 12 13 13 13 12 12 13 13 12 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 12 12 12 12 13 13 12 12 12 13 14 14 14 15 16 14 11 9 11 13 13 13 14 16 17 15 14 14 15 17 18 18 17 17 19 21 23 25 25 25 26 25 21 18 14 12 12 12 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 10 10 10 9 9 10 9 10 11 12 12 11 11 11 11 10 10 10 10 11 10 10 10 10 11 11 12 12 12 11 11 11 12 14 16 16 14 12 11 11 11 11 12 11 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 7 8 9 7 5 2 1 1 3 7 10 11 10 9 8 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 9 11 12 13 12 12 11 8 6 5 4 4 3 4 4 5 5 5 3 3 3 3 3 2 2 2 2 1 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 4 2 1 7 24 32 33 36 40 40 38 36 30 22 11 1 0 0 0 0 0 0 0 0 0 3 16 35 50 58 61 61 58 47 40 39 43 37 32 26 14 5 0 0 0 0 0 1 2 0 0 0 1 0 0 0 0 0 4 15 20 20 13 10 9 6 3 4 7 7 9 11 26 37 32 30 33 34 34 39 63 89 106 114 119 130 142 141 131 114 93 78 68 60 56 56 56 55 56 61 64 63 58 53 54 63 77 88 92 91 89 89 90 91 94 99 106 113 115 113 110 111 115 117 112 104 96 96 98 95 92 99 110 117 118 116 114 112 113 115 120 125 126 119 108 93 77 68 80 109 119 107 91 87 87 68 59 47 65 53 49 55 54 55 67 85 83 87 97 104 113 123 126 125 130 142 148 147 148 148 149 153 152 140 138 137 122 107 108 108 97 92 86 71 51 38 33 31 33 36 39 46 59 83 108 127 111 76 64 78 96 109 116 107 87 65 63 85 114 130 135 nan nan nan nan nan nan nan nan nan nan nan nan 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 6 7 8 6 5 3 1 1 3 6 9 10 10 10 8 7 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 7 8 9 10 9 9 7 6 5 4 3 2 2 3 4 4 4 3 3 3 3 4 3 1 1 0 0 0 0 0 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 3 3 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 2 9 14 10 4 0 3 13 24 29 33 37 38 38 38 32 19 6 0 0 0 0 0 0 0 0 0 0 1 7 21 38 50 52 45 33 20 19 23 29 26 21 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 2 2 1 0 0 2 10 16 25 46 59 71 56 58 65 75 66 62 66 75 84 89 98 114 131 138 132 117 99 81 65 55 53 55 58 61 64 64 59 51 44 41 41 47 57 69 82 93 99 99 92 86 82 80 82 87 91 93 97 105 115 119 116 109 106 102 94 87 89 100 109 113 112 108 103 100 100 100 98 97 95 92 88 74 59 54 74 104 117 120 122 131 132 161 126 137 95 82 96 86 90 94 93 89 98 112 116 120 128 128 127 127 129 136 143 153 160 163 162 159 149 140 127 119 121 120 107 91 87 88 79 56 34 22 18 16 17 21 26 41 69 104 131 129 104 98 110 119 123 124 116 102 83 76 87 105 115 120 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 1 1 1 1 3 5 6 6 5 3 2 2 4 6 8 9 10 10 9 7 6 5 5 5 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 3 3 3 3 4 3 4 4 3 3 3 4 4 2 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 2 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 2 8 12 8 2 0 0 3 13 26 34 36 36 37 38 30 13 2 0 0 0 0 0 0 0 0 0 0 0 4 10 21 32 38 33 23 16 20 24 24 20 15 10 6 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 1 3 15 20 34 51 58 66 76 77 80 94 94 80 67 63 66 70 75 87 107 125 135 136 128 110 87 67 57 57 61 65 66 62 54 44 35 31 28 28 31 39 50 65 81 92 94 86 79 71 64 62 63 65 70 79 89 101 109 112 114 110 101 91 87 93 100 102 105 106 102 98 97 97 95 88 85 84 82 71 56 46 45 65 88 107 112 112 115 135 123 148 115 100 105 98 97 93 93 90 96 109 115 117 119 120 123 118 111 114 125 137 143 149 151 150 146 136 124 119 122 119 106 87 79 80 75 56 30 16 12 8 8 17 18 25 56 103 133 142 138 134 132 132 133 133 130 123 112 105 103 100 92 88 88 nan nan nan nan nan nan nan nan nan nan 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 0 0 0 2 4 4 4 3 2 2 3 4 5 6 8 9 9 8 6 5 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 5 5 4 3 3 3 4 4 4 4 4 3 3 3 3 3 4 3 1 0 0 0 0 0 0 0 0 0 0 1 0 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 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 6 2 0 0 0 1 9 25 37 38 38 39 38 25 7 1 0 0 0 0 0 0 0 0 1 0 0 2 5 9 14 20 18 16 15 19 23 22 16 12 10 6 0 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 9 14 22 26 38 54 48 44 58 69 75 88 103 98 83 69 59 56 58 64 78 96 114 129 139 135 119 94 72 62 61 64 65 62 53 41 31 25 21 18 17 19 24 31 43 59 73 79 79 73 63 54 51 52 56 62 67 76 88 98 106 108 104 97 91 92 96 98 102 105 102 98 97 98 96 88 82 79 75 67 56 46 42 46 60 82 99 95 92 94 96 103 104 105 103 104 110 109 102 96 95 98 99 98 103 116 123 114 107 111 118 117 118 120 126 134 140 140 136 131 125 124 110 83 75 77 67 44 21 10 6 5 5 10 6 10 43 108 144 149 150 150 149 148 146 143 142 136 130 126 116 90 56 42 48 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 0 0 0 0 0 2 2 2 2 1 2 2 3 2 2 3 4 6 6 6 5 4 2 3 5 6 6 7 7 6 6 5 5 5 5 5 6 6 6 5 5 4 5 5 5 6 5 5 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 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 3 9 8 2 0 0 0 1 2 9 25 38 41 40 39 33 18 3 0 0 0 0 0 0 0 0 1 2 1 2 2 4 5 8 10 11 11 12 14 16 15 12 11 9 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 7 19 27 30 29 37 48 44 23 36 56 65 74 89 99 96 84 69 56 49 49 56 70 87 101 116 130 135 125 102 77 62 59 61 62 56 46 33 24 18 13 11 11 12 13 17 25 40 55 66 69 66 56 49 50 56 59 59 66 70 78 89 96 97 94 91 91 94 99 103 106 105 101 98 99 98 94 87 81 75 70 65 57 51 50 56 72 93 99 97 96 95 98 106 110 106 107 120 126 113 105 111 111 99 95 116 127 123 109 107 114 109 99 92 90 98 114 126 134 136 133 129 127 114 92 86 82 60 32 12 2 1 1 2 3 2 3 37 107 146 147 148 150 156 153 139 125 114 111 120 128 118 77 27 8 24 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 2 2 3 4 3 1 1 2 4 6 7 8 8 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 3 2 2 3 4 4 3 3 3 3 3 3 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 12 4 0 0 0 1 2 5 10 20 29 30 30 28 21 11 2 0 0 0 0 0 0 0 0 1 2 1 2 2 2 2 4 6 7 8 9 10 11 11 9 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 19 34 34 29 35 47 48 31 27 42 56 64 72 82 90 91 84 69 56 48 47 54 67 78 88 103 121 132 127 105 78 61 56 59 60 52 40 28 19 14 10 8 7 7 8 9 11 21 37 51 60 58 50 49 54 55 54 53 61 65 70 76 79 80 82 86 89 95 102 106 108 105 100 100 102 103 100 94 88 84 83 81 77 74 76 84 97 106 110 110 107 110 120 121 111 108 114 113 112 116 122 127 123 114 120 115 109 107 114 116 98 80 72 69 77 93 107 116 115 116 120 123 118 107 99 89 62 29 8 1 0 0 0 1 1 1 29 94 134 137 145 156 161 149 117 86 74 81 103 126 121 73 20 7 23 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 3 6 8 9 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 5 1 0 0 0 2 5 8 11 13 15 16 18 18 14 8 3 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 2 3 6 7 8 9 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 20 29 36 33 26 33 48 53 46 34 30 39 53 62 68 74 81 85 81 70 59 52 48 53 64 73 81 94 111 125 124 103 78 59 54 58 56 47 33 21 14 11 8 6 6 7 7 5 4 9 21 38 50 52 53 50 46 52 51 51 51 50 51 54 59 65 72 76 81 88 93 98 100 99 99 102 109 112 112 109 105 104 107 108 106 106 109 111 113 116 116 114 122 138 133 119 112 102 92 101 107 108 113 117 106 90 87 100 112 117 110 90 72 62 60 65 76 84 84 84 90 101 110 112 108 103 94 73 45 19 4 0 0 0 0 2 5 21 66 116 139 141 150 165 158 130 100 95 106 125 141 134 95 50 26 33 nan nan nan nan nan nan nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 7 6 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 3 2 2 1 2 2 3 3 3 3 3 3 3 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 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 2 9 7 0 0 0 0 1 4 8 11 12 12 13 17 20 20 16 9 4 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 2 5 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 22 30 34 35 35 32 28 32 45 52 48 42 30 25 38 55 64 66 69 73 76 78 73 66 53 46 51 62 70 75 83 100 116 117 101 78 59 55 56 51 38 23 13 8 5 4 5 7 10 6 2 1 4 13 28 43 54 50 38 41 40 37 33 29 27 29 34 40 47 52 58 63 68 74 81 90 96 99 104 112 116 111 106 108 113 116 122 124 123 119 119 124 125 124 129 147 141 131 125 101 74 73 82 84 86 81 78 78 85 99 107 108 100 87 72 62 58 60 67 71 67 66 72 85 98 102 98 94 91 82 65 42 15 0 0 0 0 0 2 11 32 76 110 127 140 158 162 155 155 161 162 167 166 157 132 88 48 35 36 nan nan nan nan nan nan nan nan 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 6 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 1 2 4 5 5 4 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 1 0 1 2 3 4 4 3 2 2 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 9 4 0 0 0 1 2 6 9 11 12 14 17 22 25 21 17 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 27 34 38 38 33 33 37 38 40 43 46 45 40 31 21 25 47 62 66 66 65 66 70 76 77 65 49 44 50 61 66 68 75 91 106 109 98 78 62 60 59 47 28 11 3 2 1 2 1 4 7 3 0 0 2 8 23 42 48 39 30 22 17 14 12 10 10 12 15 19 25 31 37 42 47 54 68 87 98 100 103 103 96 99 109 116 122 122 123 120 120 126 134 141 144 146 149 147 140 133 115 88 66 62 70 76 77 80 83 88 93 96 96 94 89 82 75 70 71 70 66 64 65 71 80 92 99 100 95 93 90 80 67 40 7 2 0 0 0 0 6 19 42 67 93 122 147 156 154 157 165 168 164 161 160 149 114 69 39 33 nan nan nan nan nan nan nan nan 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 14 7 5 4 1 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 1 2 2 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 2 1 1 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 8 2 0 0 0 1 3 6 9 11 12 15 20 28 30 21 16 10 5 2 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 1 2 2 5 8 9 11 15 24 36 43 43 40 36 37 43 46 45 42 41 40 35 25 14 14 30 49 62 63 62 61 61 64 67 68 59 48 45 52 60 61 61 67 82 95 98 93 79 71 68 60 41 17 2 0 0 0 0 0 2 3 1 0 0 1 6 18 32 34 26 14 4 2 2 2 2 2 3 4 6 12 18 24 29 37 48 67 91 101 98 89 84 97 114 123 124 121 121 121 123 128 137 151 159 159 152 144 135 132 123 103 78 72 76 80 82 83 85 84 85 89 92 94 94 97 100 99 97 89 75 70 73 80 83 92 99 102 101 101 96 90 85 72 44 21 7 1 1 5 15 31 46 58 74 108 141 144 136 134 134 136 134 131 137 138 119 89 56 44 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 24 26 23 14 6 3 1 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 1 2 3 3 3 5 6 5 4 3 3 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 4 0 0 1 1 2 3 7 10 11 12 17 23 25 25 19 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 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 4 7 9 17 26 31 33 34 39 50 54 48 40 36 36 36 34 32 30 30 30 28 18 6 6 15 29 42 50 49 46 53 51 52 58 60 54 47 48 54 55 51 50 59 72 82 86 84 78 71 69 57 35 14 3 0 0 0 0 0 1 0 0 0 0 1 4 9 12 12 7 2 0 0 0 0 0 0 1 4 9 14 18 25 32 41 52 74 94 88 80 80 95 114 127 127 125 124 126 127 124 122 126 138 143 135 124 116 112 110 102 89 84 86 88 86 84 83 84 86 89 95 100 101 105 116 125 122 108 94 86 87 94 93 95 98 97 98 98 96 93 94 96 89 65 34 18 17 23 40 62 80 92 106 124 133 111 94 108 113 116 116 108 116 121 115 104 83 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 21 30 31 23 12 5 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 5 6 5 4 3 4 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 6 4 1 0 0 1 2 2 3 7 10 10 12 20 23 20 19 15 10 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 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 3 8 10 16 25 33 39 44 50 59 60 48 31 18 14 13 11 9 8 11 13 14 8 1 2 6 15 24 32 35 34 34 39 37 47 53 51 47 46 50 51 45 39 42 49 59 69 72 69 63 63 62 53 34 15 4 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 5 16 21 23 29 34 41 51 64 84 76 74 82 96 113 124 129 130 130 132 128 116 102 93 94 103 106 101 98 98 96 94 97 98 101 102 98 94 92 92 92 95 101 107 107 101 109 125 127 116 110 102 99 103 99 94 90 86 86 87 86 86 91 101 106 97 71 50 47 54 65 88 111 125 139 153 129 79 48 74 95 121 128 120 122 124 122 118 109 97 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 12 23 32 30 21 12 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 1 1 2 5 8 9 9 12 18 21 19 17 13 8 3 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 3 5 8 11 16 23 33 48 55 45 26 13 11 8 5 5 4 1 1 3 1 0 0 1 4 10 21 26 29 29 28 26 29 38 37 38 35 41 46 43 33 29 32 38 44 50 50 44 40 46 52 47 31 16 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 21 34 37 39 42 47 56 68 72 62 64 77 97 116 124 127 133 136 136 126 108 91 80 76 81 88 94 100 103 103 106 109 112 117 119 118 115 113 108 106 108 111 114 105 91 91 103 113 113 108 106 106 106 100 91 85 82 83 84 81 75 73 78 90 95 85 71 66 69 79 100 120 124 130 152 137 102 71 64 89 140 157 146 144 146 139 132 126 116 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 13 22 29 27 22 15 9 4 1 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 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 7 9 9 8 11 16 20 19 17 12 6 2 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 1 1 1 3 9 20 27 29 27 23 26 27 24 19 14 8 4 2 0 0 0 0 0 2 11 19 24 27 28 28 26 24 23 25 22 25 33 40 32 21 18 22 25 25 23 20 15 18 30 37 36 26 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 27 45 52 60 61 63 69 71 62 54 55 67 89 106 110 113 125 135 136 130 117 103 97 96 97 99 104 109 110 111 113 115 117 121 127 131 129 128 126 126 127 127 122 107 90 85 90 106 119 123 122 116 110 103 94 92 94 93 91 84 70 59 49 54 65 67 65 71 73 82 102 113 113 113 130 143 142 124 100 98 136 153 137 132 141 140 128 123 118 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 4 10 19 24 24 22 18 13 6 3 1 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 2 2 2 5 9 10 10 8 12 17 19 18 15 10 4 2 0 0 0 0 0 0 0 0 0 0 0 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 0 0 0 0 0 0 0 0 0 1 4 8 16 24 32 44 51 48 40 32 25 20 12 4 2 1 1 0 0 2 8 16 23 27 27 25 24 22 20 17 14 17 29 31 14 3 6 6 2 1 3 2 2 8 18 28 24 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 23 34 42 52 56 63 63 56 55 57 60 65 83 102 98 87 95 115 126 135 143 144 132 120 116 119 124 124 119 120 124 122 118 116 120 132 138 138 138 140 143 142 134 116 99 90 92 108 127 138 138 128 118 111 101 101 107 104 96 87 73 60 44 35 35 39 47 63 76 87 102 111 113 115 123 136 147 153 148 127 104 103 98 102 117 123 111 100 103 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 3 8 11 14 18 21 22 20 14 8 3 0 0 0 1 2 3 3 3 2 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 6 10 11 10 8 12 18 18 17 13 8 4 2 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 15 13 8 4 1 0 0 0 0 0 0 0 0 1 3 9 19 30 40 47 49 47 44 45 42 32 16 9 6 5 2 0 0 1 4 11 19 22 22 21 19 17 15 10 7 15 28 22 7 1 0 0 0 0 0 0 1 5 13 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 9 22 35 44 53 58 60 64 70 72 71 82 104 102 69 60 78 94 119 145 160 160 148 139 141 148 149 137 131 132 131 124 118 115 128 142 143 142 146 150 153 147 131 111 97 93 102 119 130 134 132 126 120 112 109 104 97 91 88 82 71 54 36 25 24 33 50 70 88 103 112 115 123 135 141 141 152 167 160 125 94 91 103 119 118 94 74 77 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 2 1 2 6 13 20 23 22 17 10 4 1 0 0 1 3 5 5 4 4 3 4 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 11 11 9 10 13 17 17 15 10 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 18 22 23 19 12 6 3 1 0 0 0 0 0 0 0 3 7 11 18 23 26 30 36 41 46 49 46 28 17 15 13 10 5 1 0 0 1 6 12 16 16 15 13 10 6 2 4 18 27 21 8 0 0 0 0 0 0 0 1 2 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 2 7 18 36 52 64 72 76 78 80 81 76 76 96 112 93 68 61 65 86 118 148 162 165 158 157 161 160 149 141 139 137 134 130 127 130 136 142 144 147 152 157 157 148 130 112 99 97 105 115 123 127 127 125 125 123 114 99 93 94 98 92 76 54 34 28 32 43 58 80 103 116 122 133 149 161 156 157 184 195 189 157 149 147 148 134 102 74 71 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 4 10 17 22 22 19 12 5 2 1 1 4 7 7 6 6 7 7 9 10 8 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 4 8 11 10 8 10 13 16 16 12 8 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 12 15 18 18 15 10 4 1 0 0 0 0 0 0 0 1 4 5 6 10 15 18 24 31 33 38 51 40 28 25 23 19 14 7 2 0 0 0 2 6 9 8 6 3 1 0 0 9 20 22 16 4 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 18 33 46 65 82 87 84 81 86 86 78 86 108 128 109 91 78 73 92 130 153 162 158 156 155 152 144 140 142 142 142 142 142 139 134 134 141 148 150 156 162 163 153 138 119 106 102 104 110 118 121 123 129 135 135 127 118 115 115 110 99 80 58 47 49 52 56 76 104 126 130 137 154 171 172 176 196 207 208 204 200 189 176 159 135 108 102 109 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan 0 0 0 0 0 0 0 0 0 0 0 1 6 13 21 23 21 19 16 12 8 7 9 11 12 12 11 11 13 14 13 11 10 8 7 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 2 5 5 6 9 11 11 9 8 11 12 9 7 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 15 27 50 63 65 53 36 29 24 18 10 5 2 0 0 0 0 0 0 0 0 0 1 2 4 7 12 14 17 19 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 9 12 26 36 42 48 56 70 86 98 114 126 120 114 120 124 115 110 124 136 133 130 142 143 126 118 118 126 139 146 150 150 154 154 147 141 143 143 146 153 159 164 166 164 154 135 118 108 102 100 104 111 121 133 144 152 157 159 158 152 135 111 93 90 95 99 104 124 140 133 127 139 157 166 182 196 192 184 179 177 174 171 155 139 152 148 120 65 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 18 21 22 23 22 19 13 10 10 12 14 14 14 14 13 13 14 15 16 14 9 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 8 11 12 12 10 8 8 7 6 6 6 6 6 4 2 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 2 6 9 11 12 11 10 8 6 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 16 31 49 65 64 48 34 28 25 20 15 11 6 1 0 0 0 0 0 0 0 0 0 0 0 3 7 12 14 16 12 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 14 17 20 31 52 71 83 103 127 135 120 110 110 105 104 120 131 118 111 125 123 95 95 99 117 133 140 145 144 147 154 160 156 150 142 139 142 147 153 159 164 162 152 141 131 119 109 109 115 125 133 141 148 158 172 178 177 163 143 123 112 118 125 126 135 143 133 124 131 150 171 180 182 180 175 165 159 157 155 138 128 155 168 151 103 nan nan nan 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 0 0 0 0 0 0 0 0 0 0 2 4 8 13 17 20 22 22 19 15 11 11 14 16 17 18 17 16 15 16 18 20 16 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 1 3 6 8 9 10 11 11 10 8 7 6 6 6 6 6 6 6 4 1 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 0 1 2 5 10 17 21 22 22 20 18 15 12 10 9 9 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 20 32 43 45 39 33 31 29 24 21 14 5 2 1 0 0 0 0 0 0 0 0 0 0 0 3 7 7 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 13 31 51 68 87 108 124 126 118 107 93 83 94 110 112 110 117 109 87 89 83 93 118 128 134 135 136 142 153 157 155 148 140 137 137 141 147 152 156 156 158 155 139 123 119 125 140 154 156 154 158 176 186 184 178 166 149 138 140 143 138 137 138 130 128 138 153 170 172 156 155 166 163 163 164 166 150 145 160 172 172 158 nan nan 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 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 12 15 18 18 18 16 13 12 14 17 22 25 24 20 16 16 21 22 16 11 7 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 6 8 8 9 9 9 8 8 6 6 6 5 5 6 6 6 4 1 0 0 0 0 0 0 1 0 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 8 15 21 24 25 26 25 24 21 17 14 12 12 11 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 11 20 29 36 38 34 30 27 22 13 9 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 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 3 11 29 52 72 89 102 114 122 120 110 94 83 85 101 119 122 110 102 104 100 98 106 115 121 128 130 126 127 134 141 146 146 142 134 132 139 145 147 150 154 155 145 132 127 132 147 170 176 170 166 176 185 186 183 177 168 160 161 158 145 136 132 125 133 147 154 167 164 140 129 140 156 166 167 162 148 140 151 164 172 179 181 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 19 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 10 14 17 15 13 12 13 18 25 27 26 22 18 19 22 20 15 11 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 7 8 8 8 8 7 8 7 6 6 6 5 5 5 6 5 4 3 1 0 0 0 0 2 2 0 1 2 2 3 2 2 2 0 0 0 0 0 0 0 0 1 3 3 3 4 4 4 6 10 16 20 23 24 23 22 20 19 15 12 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 27 45 49 37 31 29 24 18 14 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 30 50 66 80 92 105 114 120 125 110 89 90 112 119 111 112 118 119 119 117 117 119 126 133 130 117 110 116 131 144 145 135 124 134 141 144 146 145 142 142 140 138 143 157 175 184 180 174 175 181 185 186 184 178 174 175 171 152 137 129 127 143 152 152 159 162 141 112 108 130 149 146 118 89 99 126 148 161 169 172 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 31 19 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 12 16 15 13 10 11 15 20 24 26 26 22 19 17 14 15 18 18 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 9 8 7 7 8 8 8 7 6 6 5 5 5 6 5 4 3 1 0 0 0 1 4 3 0 0 1 2 2 3 3 2 0 0 0 0 0 0 0 0 3 6 6 6 6 5 4 4 4 7 13 19 22 20 18 18 19 16 10 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 3 17 45 63 54 40 34 30 24 19 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 20 33 49 67 81 90 100 113 122 114 106 111 113 107 108 118 126 129 128 127 126 126 132 140 137 120 115 126 140 144 137 130 127 131 139 146 148 148 148 147 147 150 161 177 184 179 173 172 177 182 186 185 180 174 175 165 145 131 125 131 146 146 136 142 160 160 131 106 112 130 127 93 55 65 98 126 158 158 162 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 40 26 17 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 13 11 8 7 10 14 19 24 26 22 15 10 13 22 28 26 18 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 11 8 7 7 9 9 8 7 6 5 5 5 6 6 5 5 3 1 0 0 0 1 4 4 2 2 1 1 2 2 1 0 0 0 0 0 0 1 2 4 7 9 9 9 8 6 4 3 2 2 7 14 19 20 18 19 21 20 14 6 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 49 70 64 53 40 32 24 18 13 10 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 4 12 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 17 34 55 66 74 83 96 107 114 117 115 108 107 117 128 128 125 123 124 127 130 138 148 141 133 139 150 144 136 126 119 119 126 137 149 157 156 153 152 152 157 164 166 162 158 161 168 172 180 180 177 172 168 153 127 110 110 122 136 129 110 112 134 151 150 130 117 125 131 107 82 86 100 122 153 156 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 64 51 39 32 22 12 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 9 10 8 6 5 6 9 17 25 26 20 12 10 18 28 30 21 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 12 11 8 8 9 9 8 7 6 6 6 5 5 5 6 5 4 4 2 1 0 0 1 4 6 6 6 5 3 1 2 1 0 0 0 0 0 0 3 6 8 9 10 10 10 10 8 6 4 2 1 3 9 15 19 19 22 25 25 21 16 11 10 9 8 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 34 69 84 72 63 53 36 23 16 13 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 27 26 16 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 27 42 50 58 65 76 91 103 107 107 111 124 129 125 117 106 104 111 121 128 134 133 132 138 148 147 145 137 126 120 120 126 137 148 153 154 156 159 162 162 160 151 143 148 156 160 168 173 177 177 172 156 127 103 98 109 116 108 91 86 97 114 131 140 125 126 134 126 123 133 132 136 147 153 153 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 67 59 58 54 42 28 18 10 5 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 5 3 2 3 8 17 24 24 18 13 15 24 28 19 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 12 11 8 9 11 10 8 7 6 7 6 5 5 5 5 5 4 4 4 3 2 4 5 7 8 8 8 7 5 0 1 1 0 0 1 2 4 6 8 8 10 10 10 10 10 9 8 6 4 2 1 1 5 10 14 17 22 25 25 24 22 20 21 24 25 24 22 16 14 10 4 2 2 2 1 0 0 0 0 0 0 2 3 5 11 27 61 89 89 77 68 55 39 25 18 16 16 12 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 4 13 23 33 38 26 11 2 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 9 21 30 36 42 48 58 68 77 85 96 114 123 125 117 98 90 91 97 103 110 116 120 123 128 134 141 143 139 134 128 124 126 131 138 144 152 160 168 169 166 155 145 146 150 154 160 170 179 183 182 174 152 126 110 104 102 93 81 76 77 85 98 118 128 126 126 126 132 141 143 138 135 135 140 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 63 63 66 69 62 49 37 27 21 18 17 17 14 10 8 5 3 2 1 1 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 1 7 15 22 22 19 18 21 23 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 14 12 9 11 12 10 8 6 6 6 6 5 5 5 6 5 4 4 4 4 4 5 7 9 10 10 8 6 4 1 1 1 0 0 4 6 7 8 8 8 9 10 10 9 8 8 7 7 5 4 2 0 1 4 6 11 14 18 20 20 19 17 19 25 29 33 36 35 32 30 27 21 17 13 9 5 4 3 4 4 6 11 16 22 31 53 84 95 83 76 68 51 35 26 22 22 22 20 15 10 6 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 15 22 36 48 35 10 1 0 0 0 0 0 1 6 6 6 3 1 0 0 0 0 0 3 9 15 20 25 30 36 40 43 50 61 80 105 118 121 115 103 93 88 88 93 103 112 118 119 120 122 127 132 135 132 130 126 124 126 129 137 144 153 161 164 159 151 147 149 153 159 167 177 181 182 180 169 150 133 110 95 86 85 86 84 84 89 103 113 115 112 108 110 121 128 126 122 119 121 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 82 80 74 73 71 63 53 43 36 33 34 33 28 23 18 14 10 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 18 20 20 21 21 18 12 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 10 14 11 9 10 10 9 8 6 6 6 6 5 5 5 5 4 4 3 3 4 5 6 8 11 12 11 8 4 1 1 1 0 0 2 6 8 8 8 8 8 9 9 10 9 8 7 7 6 6 5 4 2 1 0 2 4 6 9 14 15 13 11 11 13 16 18 20 23 26 29 32 33 34 33 28 24 20 18 18 21 24 28 32 36 42 61 83 94 83 74 64 49 32 26 26 27 28 27 24 18 12 10 11 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 5 5 10 17 33 42 30 9 1 0 0 0 0 2 11 16 12 6 2 0 0 0 0 0 0 2 5 10 14 18 22 25 24 26 33 45 68 96 112 119 118 108 97 89 87 92 102 111 116 119 117 111 110 114 120 125 127 126 125 124 124 126 130 137 147 150 145 142 144 149 154 158 165 168 169 171 164 153 140 115 95 88 96 105 110 109 105 102 103 103 103 100 97 106 117 120 118 114 108 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
94 102 105 95 84 77 72 66 60 54 48 50 51 50 46 41 34 28 22 16 10 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 12 15 17 18 17 16 12 8 5 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 11 8 8 9 9 8 7 6 6 6 6 5 4 4 4 3 3 3 4 4 6 7 9 11 11 10 8 4 0 0 0 0 0 4 7 9 9 8 8 10 11 10 8 8 7 6 6 6 6 6 6 5 3 1 0 1 1 4 10 13 11 8 6 7 8 8 8 8 9 11 12 17 23 29 33 35 36 33 33 35 38 38 36 35 33 34 52 77 89 83 67 50 37 32 32 33 34 34 33 29 23 16 11 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 6 1 0 3 6 12 25 38 27 8 1 0 0 0 1 5 7 6 3 1 0 0 0 0 0 0 0 1 4 8 12 16 17 18 18 20 24 36 57 83 104 116 115 108 100 94 93 96 100 105 112 116 111 100 96 99 106 114 120 121 121 121 119 117 118 128 135 133 132 135 140 140 138 139 140 141 141 141 139 132 119 106 101 107 117 124 127 124 109 96 95 103 110 110 113 120 121 115 105 93 85 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
94 109 120 119 112 102 96 94 95 91 82 77 75 76 76 71 63 55 46 34 23 15 12 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 12 15 17 16 12 10 7 3 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 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 4 8 7 6 8 8 7 6 6 6 6 6 5 4 3 2 1 1 3 5 6 7 8 9 10 10 9 8 5 0 0 0 1 3 6 8 11 13 15 16 16 15 12 8 7 7 6 6 6 7 7 7 7 5 3 1 0 0 2 10 14 12 9 7 6 8 9 9 7 6 6 5 4 5 11 18 23 27 28 29 29 29 27 25 24 22 21 25 40 72 90 79 61 49 43 40 39 41 44 44 44 40 30 16 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 13 12 12 9 5 2 0 0 0 1 6 11 27 36 19 4 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 1 2 7 10 13 15 15 15 16 18 27 49 78 102 110 103 100 102 102 100 95 92 96 98 108 102 93 88 87 91 98 104 108 111 112 111 112 116 123 126 126 132 137 128 118 113 111 111 111 112 117 121 120 116 113 110 110 109 110 108 98 85 84 100 118 124 122 122 120 113 99 82 67 59 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
100 107 121 131 134 132 128 129 130 122 111 104 99 96 90 83 75 71 65 57 46 34 26 21 15 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 14 15 15 13 11 9 7 4 2 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 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 3 8 7 6 7 6 6 6 6 7 6 5 5 4 4 3 2 3 5 6 7 8 7 8 9 8 7 6 6 1 1 2 3 5 7 8 12 14 14 15 16 15 12 8 6 6 5 5 6 7 7 8 7 5 3 2 1 0 3 11 14 12 10 10 9 10 12 14 14 12 10 8 6 5 5 9 13 15 16 16 15 12 13 13 14 16 17 19 23 38 65 80 76 66 58 50 48 51 55 57 57 56 52 41 26 15 10 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 7 17 22 20 15 10 3 0 0 0 0 0 0 3 5 15 31 29 14 3 0 0 2 7 7 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 11 12 12 11 11 13 23 46 78 96 92 82 88 100 105 97 88 84 84 90 92 90 84 79 74 74 78 84 90 94 97 101 106 114 125 128 128 124 114 105 98 93 92 94 98 103 108 112 113 108 98 88 81 78 76 72 67 71 90 109 119 120 117 114 110 102 88 71 61 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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