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

Explore how to efficiently count triplets in an integer array where two subarrays have equal XOR values. Understand prefix XOR optimization and hash maps to improve time complexity from cubic to linear. This lesson teaches practical bitwise strategies to solve XOR-related coding interview problems efficiently.

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 ...