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2275. Largest Combination With Bitwise AND Greater Than Zero

Explanation:

To solve this problem, we need to find the largest combination of elements from the given array candidates such that the bitwise AND of all elements in the combination is greater than 0. We can approach this problem using a bitmask technique. We iterate through all possible combinations of elements using bitwise operations and check the bitwise AND of each combination. We keep track of the largest combination with a bitwise AND greater than 0.

  1. Generate all possible combinations using bit manipulation.
  2. For each combination, calculate the bitwise AND and update the largest combination size if the AND result is greater than 0.
  3. Return the size of the largest combination found.

Time complexity: O(2^n * n) where n is the number of elements in the candidates array. Space complexity: O(1)

class Solution {
    public int largestCombinations(int[] candidates) {
        int n = candidates.length;
        int maxSize = 0;
        for (int i = 1; i < (1 << n); i++) {
            int andResult = Integer.MAX_VALUE;
            int size = 0;
            for (int j = 0; j < n; j++) {
                if ((i & (1 << j)) > 0) {
                    andResult &= candidates[j];
                    size++;
                }
            }
            if (andResult > 0) {
                maxSize = Math.max(maxSize, size);
            }
        }
        return maxSize;
    }
}

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