Solution: Count Triplets That Can Form Two Arrays of Equal XOR
Understand how to solve the problem of counting triplets in an array that form two subarrays with equal XOR values. Learn to optimize the naive cubic approach with prefix XORs and hash maps, reducing time complexity to linear and space complexity to linear, using bitwise manipulation techniques.
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We'll cover the following...
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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