Updating the parameters of the Viterbi Algorithmm

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I am currently studying Viterbi Algorithm within the context of probability and sequence generation. My understanding of it so far, is that it helps us generate a sequence of events such that it is most likely to cause a specific sequence of observed events. My question now is, is it possible for me to find the initial state, emission and transition probabilities such that it generates a specific sequence of events that I want it to? I know that the algorithm takes (Number of States)^2 * T, where T is the length of the sequence. If anyone could help me solve such a problem I'd be highly grateful thank you.