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The Turing machine works in the following way,
First is reads the ‘a’-s in the first segment. It reads a single ‘a’, marks that by ‘X’ and goes to state S2. Then it just ignores all ‘a’ until it gets the first ‘+’ sign. Then it marks the next two consecutive ‘a’ to the ‘+’ sign as ‘YY’ and again ignores everything until it gets the second ‘+’ sign....
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