Hello! I need help with Hidden Markov models problem. Thank you in advance..!

Consider a Hidden Markov model with discrete emission function (i.e., discrete observations), specied by the fol- lowing parameters: - three latent states 51, 5'2, 5'3; observations at\" E {1, 2, 3}. 0 0.5 0.5 - Transition probabilities A = 1.0 0.0 0.0 0.0 1.0 0.0 - Starting probabilities: 7r = (1, 0, 0)T 0.5 0.5 0.0 - Emission probabilities: B = 0.5 0.0 0.5 0.0 0.5 0.5 List all possible latent state sequences for the following observed sequences X. For each possible sequence, also compute P(X|7r, A, B). (a) x1=1,x2=2,x3=3. (b) $1=1,$2=3,$3=1