The unary numeral system is a numeral system to represent natural numbers as sequences of ones, that is, to represent a number ?, a symbol representing “1” is repeated ? times. For example, the number 4 is represented by 1111. The number 0 would be represented by the empty string. Create a Turing machine which adds 3 to a natural number, that is, writes three times a 1 after the given unary number. Afterwards move the head to the left-most position of input.

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