LeetCode 982: Triples with Bitwise AND Equal To Zero Solution

Master LeetCode problem 982 (Triples with Bitwise AND Equal To Zero), a hard 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.

982. Triples with Bitwise AND Equal To Zero

Hard

Array Hash Table Bit Manipulation

Problem Explanation

Explanation:

To solve this problem, we can use a hashmap to store the count of each possible bitwise AND result between pairs of numbers in the input array nums. Then, we iterate over all possible triples and count the number of triples where the bitwise AND operation results in zero.

Algorithm:

Create a hashmap countMap to store the count of each possible bitwise AND result.
Iterate through all pairs of numbers in nums and update the count of their bitwise AND result in the countMap.
Initialize a variable result to store the final count of AND triples.
Iterate over all possible triples (i, j, k) in the array and check if the bitwise AND result is zero. If it is zero, increment the result.
Return the final count result.

Time Complexity:

The time complexity of this approach is O(n^2) where n is the number of elements in the input array nums.

Space Complexity:

The space complexity is O(n^2) to store the count of all possible bitwise AND results in the hashmap.

Solution Code

class Solution {
    public int countTriplets(int[] nums) {
        Map<Integer, Integer> countMap = new HashMap<>();
        for (int i = 0; i < nums.length; i++) {
            for (int j = 0; j < nums.length; j++) {
                int andResult = nums[i] & nums[j];
                countMap.put(andResult, countMap.getOrDefault(andResult, 0) + 1);
            }
        }
        
        int result = 0;
        for (int i = 0; i < nums.length; i++) {
            for (Map.Entry<Integer, Integer> entry : countMap.entrySet()) {
                int andResult = entry.getKey();
                result += entry.getValue() * countMap.getOrDefault(andResult & nums[i], 0);
            }
        }
        
        return result;
    }
}

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