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Design deterministic finite automata for each of the following sets: 1) The set of strings x...

Design deterministic finite automata for each of the following sets:

1) The set of strings x ε {0, 1}* such that #0(x) is even and #1(x) is a multiple of three.

2) The set of all strings in {1, 2, 3}* containing 231 as substring.

3) The set of strings in (a)* whose length is divisible by either 2 or 7.

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