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

Explore how to solve the problem of counting triplets that form two subarrays with equal XOR values using prefix XOR arrays and hash maps. Learn to optimize a naive cubic approach to linear time by leveraging bitwise XOR properties and efficient data structures. Understand the step-by-step technique to apply this in Python for effective bitwise problem-solving.

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 ...