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

Explore how to apply bitwise manipulation to count triplets in an array where the XOR of two subarrays matches. Understand the prefix XOR method and map-based optimization to reduce time complexity from cubic to linear, enhancing your ability to solve similar 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 arr.length 300\leq 300

  • 11 \leq ...