Given an array of N numbers, we wish to choose a contiguous sub-sequence of the array, so that the bitwise XOR of all chosen numbers is maximum. Bitwise XOR is defined as follows: every bit in the answer is obtained by applying XOR logic on the corresponding bits of the set of numbers. For example 7, 8 and 5 are XORed as follows,
Numbers in binary: 0111 1000 0101 ----- 1010
So the answer is 10 (in decimal). The same answer can be obtained in C/C++/Java by using the XOR operator as 7^8^5.
The first line contains the number of test cases T. The first line of each test-case contains one integer, N (size of the array). The next N lines of each test-case contain integers denoting the elements of the array.
Constraints:
1 <= T <= 10
1 <= N <= 100,000
All input integers will be non-negative and fit into 32 bit signed integer.
For each test case, output a single line containing the maximum sum that can be obtained.