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What does this Deterministic finite automaton do?

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Apr3-12, 01:45 PM
P: 1
1. The problem statement, all variables and given/known data
Can someone explain the condition that DFA(Deterministic finite automaton) take as an accepting state and rejecting state?

2. Relevant equations

3. The attempt at a solution
I have tried analyzing through it, but it seems pretty random to me.
It accepts: empty,ab, ba, abab, baba, aabb, bbaa, bbb, aaa, bbaaab, aabbba,....
Rejects: a, aa, aab, aba, b, baa, bb, bba, bbaaa, ....
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