You are given an integer array nums of length n where each element is a non-negative integer.
Select two subsequences of nums (they may be empty and are allowed to overlap), each preserving the original order of elements, and let:
X be the bitwise XOR of all elements in the first subsequence.Y be the bitwise XOR of all elements in the second subsequence.Return the maximum possible value of X XOR Y.
Note: The XOR of an empty subsequence is 0.
Example 1:
Input: nums = [1,2,3]
Output: 3
Explanation:
Choose subsequences:
[2], whose XOR is 2.[2,3], whose XOR is 1.Then, XOR of both subsequences = 2 XOR 1 = 3.
This is the maximum XOR value achievable from any two subsequences.
Example 2:
Input: nums = [5,2]
Output: 7
Explanation:
Choose subsequences:
[5], whose XOR is 5.[2], whose XOR is 2.Then, XOR of both subsequences = 5 XOR 2 = 7.
This is the maximum XOR value achievable from any two subsequences.
Constraints:
2 <= nums.length <= 1050 <= nums[i] <= 109