LeetCode_Medium_40. Combination Sum II

2019.2.15

题目描述:

Given a collection of candidate numbers (candidates) and a target number (target), find all unique combinations in candidates where the candidate numbers sums to target.

Each number in candidates may only be used once in the combination.

Note:

  • All numbers (including target) will be positive integers.
  • The solution set must not contain duplicate combinations.

Example 1:

Input: candidates = [10,1,2,7,6,1,5], target = 8,
A solution set is:
[
  [1, 7],
  [1, 2, 5],
  [2, 6],
  [1, 1, 6]
]

Example 2:

Input: candidates = [2,5,2,1,2], target = 5,
A solution set is:
[
  [1,2,2],
  [5]
]

这题和昨天的https://blog.csdn.net/weixin_41637618/article/details/87250472差不多,就是要求数组中的数不可以重复使用了而已,所以思想上还是差不多的。

解法一:

还是回溯算法,修改一下两个地方,先对原数组进行排序,遇到相同的数字就跳过,这样res中就不会有重复项了,第二个是将递归算法中i+1,就可以保证数字不重复使用了。

C++代码:

class Solution {
public:
    vector<vector<int>> combinationSum2(vector<int>& candidates, int target) {
        vector<vector<int>> res;
        vector<int> out;
        sort(candidates.begin(),candidates.end());
        combinationSum2DFS(candidates,target,0,out,res);
        return res;
    }
    void combinationSum2DFS(vector<int> &candidates,int target,int index,vector<int> &out,vector<vector<int>> &res){
        if(target<0) return;
        if(target==0){
            res.push_back(out);
            return;
        }
        for (int i = index; i < candidates.size(); ++i) {
            if(i>index&&candidates[i-1]==candidates[i]) continue;
            out.push_back(candidates[i]);
            combinationSum2DFS(candidates, target-candidates[i], i+1,out,res);
            out.pop_back();
        }
    }
};

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转载自blog.csdn.net/weixin_41637618/article/details/87340653
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