DDSA Solutions

2683. Neighboring Bitwise XOR

Time: O(n)
Space: O(1)

Problem Overview

Neighboring Bitwise XOR (Medium) asks you to solve a structured algorithmic task. This is a common Array / Bit Manipulation pattern in coding interviews. XOR of all derived values must equal 0 for a valid original array to exist.

A full step-by-step explanation is being added. See the study guide for pattern-based practice.

Approach

XOR of all derived values must equal 0 for a valid original array to exist.

Related patterns: Array, Bit Manipulation, Prefix Sum

2683.cs
C#
// Approach: XOR of all derived values must equal 0 for a valid original array to exist.
// Time: O(n) Space: O(1)

public class Solution
{
    public bool DoesValidArrayExist(int[] derived)
    {
        int n = derived.Length;
        int ans = 0;

        for (int i = 0; i < n - 1; i++)
        {
            if (derived[i] == 1)
                ans ^= 1;
        }

        if (derived[n - 1] == 1)
            return ans != 0;
        else
            return ans == 0;
    }
}
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