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

Explore how to count triplets in an integer array such that the XOR of two contiguous subarrays are equal. This lesson helps you understand and implement an optimized bitwise XOR approach using prefix XOR and hash maps, improving time complexity from cubic to linear, enabling effective problem-solving in 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 ...