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Solution: Count Triplets That Can Form Two Arrays of Equal XOR

Explore techniques to count triplets in an integer array that form two subarrays with equal XOR values. Understand how to optimize brute force methods with prefix XOR arrays and hash maps, reducing the time complexity to O(n). Learn to implement bitwise manipulation for efficient coding interview solutions.

Statement

Given an array of integers, arr, we need to find three indices, i, j, and k, such that 00\leq i << j \leq k << arr.length.

We define two values, a and b, as follows:

  • a = arr[i] ^ arr[i + 1] ^ ... ^ arr[j - 1]

  • b = arr[j] ^ arr[j + 1] ^ ... ^ arr[k]

Note: ^ denotes the bitwise XOR operation.

Return the count of triplets (i, j, k) for which a is equal to b.

Constraints:

  • 11 \leq ...