Description

Given a set of candidate numbers (C) (without duplicates) and a target number (T), find all unique combinations in C where the candidate numbers sums to T.

The same repeated number may be chosen from C unlimited number of times.

Note:

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

Example

For example, given candidate set [2, 3, 6, 7] and target 7, 
A solution set is: 

[
    [7],
    [2, 2, 3]
]

思路

  • dfs
  • 按照下图方式剪枝,可保证没有重复

代码

class Solution {
public:
    vector<vector<int>> combinationSum(vector<int>& candidates, int target) {
        vector<vector<int>> res;

        sort(candidates.begin(), candidates.end());
        
        vector<int> tmp;
        dfs(candidates, target, candidates.size(), 0, res, tmp, 0);
        

        return res;
    }

    bool dfs(vector<int> &candidates, int target, int len, int t, vector<vector<int>> &res, vector<int> &tmp, int sum){
        if (sum == target){
            res.push_back(tmp);
            return true;
        }

        else if (sum < target){
            for (int i = t; i < len; ++i){
                if (sum + candidates[i] > target) return false;
                sum += candidates[i];
                tmp.push_back(candidates[i]);
                bool flag = dfs(candidates, target, len, i, res, tmp, sum);
                
                sum -= candidates[i];
                tmp.pop_back();
                
                if (flag){
                    break;
                }
            }
        }

        return false;
    }
};
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