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

Explore how to count triplets in an integer array where two subarrays have equal XOR values. Learn to apply prefix XOR and bitwise manipulation techniques to reduce complexity from cubic to linear, enhancing your coding interview skills with efficient algorithm design.

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 ...