Question: 3. (20pt) Construct a deterministic Turing machine M that multiplies two unary numbers. Specifically, given the input string ;, where is the unary encoding of

3. (20pt) Construct a deterministic Turing machine M that multiplies two

3. (20pt) Construct a deterministic Turing machine M that multiplies two unary numbers. Specifically, given the input string ;, where is the unary encoding of a natural number x and is the unary encoding of a natural number y, M should output , the unary encoding of z y. For example, on input 111:1111, M should output 111111111111. Describe M using the macro language 1

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