Solution: Count Triplets That Can Form Two Arrays of Equal XOR
Explore how to count triplets in an integer array where two subarrays yield equal XOR values. Learn to optimize the naive cubic approach to quadratic time by using prefix XOR and hash maps, enabling efficient bitwise manipulation and understanding of XOR properties in coding interviews.
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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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