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

Explore how to count triplets in an array so that two subarrays have equal XOR. Understand the use of bitwise XOR, prefix XOR arrays, and hash maps for an optimized O(n) solution, improving beyond naive cubic approaches. This lesson helps you grasp efficient problem-solving in bitwise manipulation for coding interviews.

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 ...