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Consider the following finite state machine: What st...

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Consider the following finite state machine:

A finite state machine with 5 states: Q0 is the start state. Q2 and Q4 are accept states. From q0 an a input transitions to q1. From q0 a b input transitions to q3. From q1 an a input transitions to q1. From q1 an b input transitions to q2. From q2 an a input transitions to q1. From q2 a b input transitions to q2. From q3 an a input transitions to q4. From q3 an b input transitions to q3. From q4 an a input transitions to q4. From q4 a b input transitions to q3.

What state is reached after scanning the string  "babbba''?

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