13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T68d,

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

$\text{[math]}$ state, or
$\text{[math]}$ state.
Your task is to perform necessary operations and measurements to figure out which state it was and to return 0 if it was GHZ 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:

Distinguish GHZ state and W state