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Design a Turing machine with input alphabet {a, b} that accepts a string if and only if the string has the property described. (a) The

Design a Turing machine with input alphabet {a, b} that accepts a string if and only if the string has the property described.

(a) The input string has an even number of b's.

(b) The input string has the same number of a's and b's.

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