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

Explore how to find and count triplets in an integer array where two subarrays have equal XOR values. Understand the use of prefix XOR and hash maps to optimize from a naive cubic approach to a linear time solution, enhancing your problem-solving skills with bitwise operations.

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 ...