Given an array of integers, find the maximum XOR value between any two elements in the array.

Function Signature:

from typing import List

def max_xor_pair(nums: List[int]) -> int:
    """
    Finds the maximum XOR value between any two elements in the array.

    Parameters:
    - nums: A list of integers.

    Returns:
    - int: The maximum XOR value.
    """
    # Your code here

Example:

# Example 1:
nums = [3, 10, 5, 25, 2, 8]
result = max_xor_pair(nums)
print(result)  # Output should be 28
# Explanation: The maximum XOR value between any two elements in the array is obtained by XORing 5 and 25 (5 ^ 25 = 28).

# Example 2:
nums = [0, 1, 2, 3, 4, 5]
result = max_xor_pair(nums)
print(result)  # Output should be 7
# Explanation: The maximum XOR value between any two elements in the array is obtained by XORing 3 and 4 (3 ^ 4 = 7).

Note:

  • The XOR operation (symbolized by ^ in python) computes the bitwise XOR (exclusive OR) of two integers.
  • The maximum XOR value is obtained by finding the bitwise XOR of two elements such that the result is maximum.

Instructions:

  • Implement the max_xor_pair function to solve the problem.
  • Use Python for your implementation.
  • Provide clear comments in your code to explain the logic.
  • Discuss the time and space complexity of your solution.

As always, we’ll share our solution to this problem tomorrow. Stay tuned 😊