A clocked sequential circuit has three states, A, B and C and one input X. As long as the input X is 0, the circuit alternates between the states A and B. If the input X becomes 1 (either in state A or in State B), the circuit goes to state C and remains in state C as long as long as X continues to be 1. The circuit returns to state A if the input becomes 0 once again and from then on repeats its behaviour. Assume that the state assignments are ,  and C=10.