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1. [15 points] Let M be the deterministic finite automaton (K,,,s,F), that accepts the language L(M)={w{a,b}:w does not contain 3 consecutive b 's }. where
1. [15 points] Let M be the deterministic finite automaton (K,,,s,F), that accepts the language L(M)={w{a,b}:w does not contain 3 consecutive b 's }. where K={q0,q1,q2,q3},={a,b},s=q0,F={q0,q1,q2}, and is the function tabulated below. Draw the state diagram and check whether aabba is accepted by M
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