LeetCode 1310: XOR Queries of a Subarray Solution

Master LeetCode problem 1310 (XOR Queries of a Subarray), 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.

1310. XOR Queries of a Subarray

Problem Explanation

Explanation

To efficiently compute the XOR of elements within a subarray, we can precompute the XOR prefix array. The XOR prefix array at index i will store the XOR of all elements from index 0 to i in the original array. Then, to answer a query [left, right], we can XOR the prefix values at index right and left-1 if left is not 0.

Algorithm:

  1. Initialize an XOR prefix array of the same size as the original array.
  2. Compute the XOR prefix array by iterating through the original array.
  3. Answer each query by XORing the prefix values at the query indices.

Time Complexity: O(n) where n is the size of the original array. Space Complexity: O(n) for the XOR prefix array.

Solution Code

class Solution {
    public int[] xorQueries(int[] arr, int[][] queries) {
        int n = arr.length;
        int[] xorPrefix = new int[n];
        
        xorPrefix[0] = arr[0];
        for (int i = 1; i < n; i++) {
            xorPrefix[i] = xorPrefix[i - 1] ^ arr[i];
        }
        
        int[] result = new int[queries.length];
        for (int i = 0; i < queries.length; i++) {
            int left = queries[i][0];
            int right = queries[i][1];
            result[i] = (left == 0) ? xorPrefix[right] : xorPrefix[right] ^ xorPrefix[left - 1];
        }
        
        return result;
    }
}

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