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User's AC Ratio

NaN% (0/0)

Submission's AC Ratio

NaN% (0/0)

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Description

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 785.

Input Format

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.

Output Format

For each test case, output a single line containing the maximum sum that can be obtained.
Constraints


1 <= T <= 20

1 <= N <= 100,000

All input integers will be non-negative and fit into 32 bit signed integer.

Sample Input 1

2
5
3
7
7
7
0
5
3
8
2
6
4 

Sample Output 1

7
15

Hints

Problem Source

Migrated from old NTUJ.

ACM-ICPC Asia-Amritapuri Site 2009

Subtasks

No. Testdata Range Score

Testdata and Limits

No. Time Limit (ms) Memory Limit (VSS, KiB) Output Limit (KiB) Subtasks
0 10000 65536 200