216_CombinationSumIII

---

title: 216. Combination Sum III

tags:
- backtracking categories: leetcode comments: false

problem

給定k、n 找出所有和為n，長度為k的有效組合，其元素只能落在1到9區間，且數字必須唯一，不能重複取。

sloution

class Solution {
public:
    void backtracking(int k, int target, vector<int>& path, vector<vector<int>>& ret, int l){
        if(path.size() > k) return;
        if(path.size() ==k){
            if(target==0) ret.push_back(path);
            return;
        }
        for(int i=l;i<=9;++i){
            if(target -i<0) return;
            path.push_back(i);
            backtracking(k, target-i, path, ret,i+1);
            path.pop_back();
        }
        
    }
    vector<vector<int>> combinationSum3(int k, int n) {
        vector<vector<int>> ret;
        vector<int> path;
        backtracking(k, n, path, ret, 1);
        return ret;
    }
};

analysis

• time complexity O(len(nums)^M), M if theight of our recursive
• space complexity L , L is the longest combination