Please answer Q 5 ASAP

The Hadamard gate (H for short) plays a fundamental role in quantum computing Definition of H: HO) = * ( 10 ) + 1 1 ) ) H1) = 2 (10) - 1))5. (7 points) Consider the function f : {0.1}3 > {0. 1}3. defined by {(x) = (x + 2) mod 8, and the corresponding unitary version Ur. Write out the B-qubit state vector for the output of the following circuit: 0} 0} 0} Ur 0} 0} 0}