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Leetcode
Medium
Arrays
Bit Manipulation
Math
Maximum Bitwise XOR After Rearrangement

Choose an ordering of the numbers to maximize the XOR of a running bitwise process over the array.

Acceptance 0%
Problem Statement

Problem

You are given an array of integers. You may rearrange the elements in any order.

After rearranging, apply the problem's bitwise XOR aggregation rule to the array and return the maximum value that can be obtained.

This problem asks you to reason about how XOR behaves under reordering and to determine the arrangement that yields the best possible result.

Notes

  • XOR is commutative and associative.
  • The goal is to maximize the final bitwise value after choosing the best permutation.

Input Format

  • An integer array nums.

Output Format

  • Return the maximum achievable bitwise XOR value after rearranging the array as required.

Constraints

  • The array length is at least 1.
  • Values are non-negative integers.
  • Exact platform constraints are not provided in the source metadata, so treat this as a standard interview-style array and bit manipulation problem.

Input Format

  • A single integer array nums.
  • Rearrangement of elements is allowed before evaluating the XOR objective.

Output Format

  • Return one integer: the maximum achievable XOR value.

Constraints

  • 1 <= nums.length
  • nums[i] >= 0
  • Exact official limits are unknown from the provided metadata.
Examples
Sample cases returned by the problem API.

Example 1

Input

nums = [1, 2, 3]

Output

0

Explanation

Because XOR is associative and commutative, any rearrangement gives the same result: 1 ^ 2 ^ 3 = 0.

Example 2

Input

nums = [4, 4, 1]

Output

1

Explanation

Any permutation produces the same total XOR. Since 4 ^ 4 ^ 1 = 1, the maximum achievable value is 1.

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