LeetCode 2433: Find The Original Array of Prefix Xor Solution

Master LeetCode problem 2433 (Find The Original Array of Prefix Xor), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

2433. Find The Original Array of Prefix Xor

Medium

Array Bit Manipulation

Problem Explanation

Explanation

To solve this problem, we can iterate through the given pref array and use the properties of bitwise XOR to calculate the corresponding elements of the resulting arr array. We can start by setting arr[0] = pref[0], then for each subsequent element, calculate arr[i] = pref[i] ^ arr[i-1]. The uniqueness of the solution is guaranteed by the properties of XOR operation.

Time Complexity

The time complexity of this solution is O(n) where n is the size of the pref array.

Space Complexity

The space complexity of this solution is O(n) where n is the size of the pref array.

Solution Code

class Solution {
    public int[] decode(int[] encoded) {
        int n = encoded.length + 1;
        int[] arr = new int[n];
        arr[0] = encoded[0];
        for (int i = 1; i < n - 1; i++) {
            arr[i] = encoded[i] ^ arr[i - 1];
        }
        arr[n - 1] = encoded[n - 2] ^ arr[n - 2];
        return arr;
    }
}

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