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 optimize the naive cubic solution using prefix XOR and hash maps for a linear time complexity approach. Understand managing running XOR, frequency counts, and index sums to solve the problem efficiently.
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Statement
Given an array of integers, arr, we need to find three indices, i, j, and k, such that i j 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:
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