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