Need to find whether there exists such subset of n numbers, that XOR of it's elements is a power of 2

general
,
1

This is a problem from THOUGHTWORKS HIRING CONTEST.

Problem Link: https://www.hackerearth.com/thoughtworks-singapore-codeathon-2015/algorithm/power-of-two-4/

**Problem Statement:
**
Given an array A. Is there any subset of array A in which if we do AND of all elements of that subset then output should be in power of two (for example : 1,2,4,8,16 and so on ).

2
3
1 2 3
2
10 20

Input:

First line contains number of test cases T. Each test first line contains N size of array A and next line contains N space separated integers.

I found this problem somewhat similar to problem XORSUB but still was unable to solve this, Can anyone please explain how to solve this problem?