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

Explore how to efficiently count triplets in an array where two subarrays have equal XOR values. Understand the prefix XOR technique, dynamic updates with hash maps, and how these optimize time complexity from cubic to linear. This lesson helps you implement and analyze bitwise manipulation methods useful 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 ...