40. Combination Sum II

1. Description

Given a collection of candidate numbers (candidates) and a target number (target), find all unique combinations in candidates where the candidate numbers sum to target.
Each number in candidates may only be used once in the combination.

2. Note

  • The solution set must not contain duplicate combinations.

3. Example

Example 1:
Input: candidates = [10,1,2,7,6,1,5], target = 8
Output:
[
[1,1,6],
[1,2,5],
[1,7],
[2,6]
]

Example 2:
Input: candidates = [2,5,2,1,2], target = 5
Output:
[
[1,2,2],
[5]
]

4. Constraints

  • 1 <= candidates.length <= 100
  • 1 <= candidates[i] <= 50
  • 1 <= target <= 30

5. Solutions

My Accepted Solution

n = m_candidates.size()
Time complexity : O($2^nn$)
Space complexity : O(n)

class Solution {
public:
    void combinationSum(
            const vector<int>& i_candidates,
            vector<int>& m_subarray,
            vector<vector<int>>& o_output,
            int target,
            int index) {
        for (int beginning = index; index < i_candidates.size(); index++) {
            if (index != beginning && i_candidates[index] == i_candidates[index - 1]) {
                continue;
            }

            if (target < i_candidates[index]) {
                break;
            } else if (target == i_candidates[index]) {
                m_subarray.push_back(i_candidates[index]);
                o_output.push_back(m_subarray);
                m_subarray.pop_back();
                break;
            } else if (target > i_candidates[index]) {
                m_subarray.push_back(i_candidates[index]);
                combinationSum(
                        i_candidates,
                        m_subarray,
                        o_output,
                        target - i_candidates[index],
                        index + 1);
                m_subarray.pop_back();
            }
        }
    }

    // vector<vector<int>> combinationSum2(vector<int>& candidates, int target)
    vector<vector<int>> combinationSum2(vector<int>& m_candidates, int target) {
        vector<int> subArray;
        vector<vector<int>> combinations;
        sort(m_candidates.begin(), m_candidates.end());
        combinationSum(m_candidates, subArray, combinations, target, 0);

        return combinations;
    }
};
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