P = [  1   0   0   0   0
      0.2 0.8  0   0   0
       0  0.2 0.8  0   0
       0   0  0.2 0.8  0
       0   0   0  0.2 0.8]

Q = [ 0.7 0.3  0   0   0
       0  0.7 0.3  0   0
       0   0  0.7 0.3  0
       0   0   0  0.7 0.3
       0   0   0   0   1]
