Solution: Count Triplets That Can Form Two Arrays of Equal XOR
Explore how to find the count of triplets in an integer array where two subarrays have equal bitwise XOR values. Learn to optimize a naive O(n^3) approach using prefix XOR techniques and hash maps to achieve O(n) time complexity. Understand implementation details, complexity analysis, and how bitwise operations help solve this 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:
arr.length...