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

Understand how to count triplets in an array where two subarrays produce equal XOR values. Explore prefix XOR optimizations and bitwise manipulation to reduce time complexity from cubic to linear, enhancing problem-solving efficiency 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 ...