Problem A6

Statement
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Description:
You are given an operation that implements a single-qubit unitary transformation: either the identity (I gate) or one of the Pauli gates (X, Y or Z gate). The operation will have Adjoint and Controlled variants defined.

Your task is to perform necessary operations and measurements to figure out which unitary it was and to return

- 0 if it was the I gate,
- 1 if it was the X gate,
- 2 if it was the Y gate,
- 3 if it was the Z gate.

You are allowed to apply the given operation and its adjoint/controlled variants exactly once.

You have to implement an operation which takes a single-qubit operation as an input and returns an integer. Your code should have the following signature:

Input Format:
None

Output Format:
None

Note:
None