Search⌘ K
AI Features

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

Explore how to efficiently count triplets in an array where two subarrays have equal XOR values. Learn to apply prefix XOR arrays and hash maps to optimize from cubic to linear time complexity, mastering bitwise operations for coding interview success.

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 ...