LeetCode 3199: Count Triplets with Even XOR Set Bits I Solution

Master LeetCode problem 3199 (Count Triplets with Even XOR Set Bits I), a easy challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

3199. Count Triplets with Even XOR Set Bits I

Easy

Array Bit Manipulation

Problem Explanation

Explanation

To solve this problem, we can iterate through all possible triplets of elements in the given array and count the number of triplets where the XOR of the elements is even. We can achieve this by using three nested loops to generate all possible triplets and then checking if the XOR of the elements in the triplet is even.

Initialize a variable count to 0 to store the count of triplets with even XOR.
Use three nested loops to iterate through all possible triplets in the array.
For each triplet, calculate the XOR of the elements.
If the XOR is even, increment the count.
Finally, return the count as the result.

Time Complexity

The time complexity of this approach is O(n^3), where n is the number of elements in the array.

Space Complexity

The space complexity of this approach is O(1) as we are not using any extra space that grows with the input size.

Solution Code

class Solution {
    public int countTriplets(int[] arr) {
        int count = 0;
        int n = arr.length;
        
        for (int i = 0; i < n; i++) {
            for (int j = i + 1; j < n; j++) {
                for (int k = j + 1; k < n; k++) {
                    if ((arr[i] ^ arr[j] ^ arr[k]) % 2 == 0) {
                        count++;
                    }
                }
            }
        }
        
        return count;
    }
}

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