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Maximum XOR

Difficulty: HARD
Contributed By
Anup Kumar Singh
Avg. time to solve
10 min
Success Rate
90%

Problem Statement

You are given two arrays of non-negative integers say ‘arr1’ and ‘arr2’. Your task is to find the maximum value of ( ‘A’ xor ‘B’ ) where ‘A’ and ‘B’ are any elements from ‘arr1’ and ‘arr2’ respectively and ‘xor’ represents the bitwise xor operation.

Input Format:

The first line of the input contains an integer, 'T,’ denoting the number of test cases.

The first line of each test case contains two space-separated integers, 'N' and ‘M’ denoting the number of elements in the first and second array.

The second line of each test case contains 'N' space-separated integers denoting the elements of the array first array.

The last line of each test case contains 'M' space-separated integers denoting the elements of the array second array.

Output Format:

For each test case, print a single integer - the maximum possible xor among all possible pairs.

Print the output of each test case in a separate line.

Note :

You do not need to input or print anything, and it has already been taken care of. Just implement the given function.
Constraints:
1 <=  T  <= 5
1 <=  N, M <= 1000
0 <=  arr1[i], arr2[i]  <= 10 ^ 9

Where 'T' denotes the number of test cases, 'N', ‘M’ denotes the number of elements in the first array and second array, ‘arr1[i]', and ‘arr2[i]’ denotes the 'i-th' element of the first array and second array.

Time limit: 1 sec

Sample Input 1:

2
2 3
6  8 
7  8  2
2 2
1 2
1 1

Sample Output 1:

15
3

Explanation of sample input 1:

First testcase:
Possible pairs are (6, 7), (6, 8), (6, 2), (8, 7), (8, 8), (6, 2). And 8 xor 7 will give the maximum result i.e. 15

Second testcase:
3 is the maximum possible xor among all possible pairs.

Sample Input 2:

1
3 3
25 10 2
8 5 3

Sample Output 2:

28

Explanation of sample input 1:

First test case:
28 is the maximum possible xor given by pair = (25, 5). It is the maximum possible xor among all possible pairs.
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