B1. Distinguish zero state and W state
time limit per test
1 second
memory limit per test
256 megabytes
standard input
standard output

You are given N qubits (2 ≤ N ≤ 8) which are guaranteed to be in one of the two states:

  • state, or
  • state.

    Your task is to perform necessary operations and measurements to figure out which state it was and to return 0 if it was state or 1 if it was W state. The state of the qubits after the operations does not matter.

    You have to implement an operation which takes an array of N qubits as an input and returns an integer.

    Your code should have the following signature:

    namespace Solution {
    open Microsoft.Quantum.Primitive;
    open Microsoft.Quantum.Canon;

    operation Solve (qs : Qubit[]) : Int
    // your code here