> For the complete documentation index, see [llms.txt](https://jenhsuan.gitbook.io/algorithm/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://jenhsuan.gitbook.io/algorithm/leetcode/46.-permutations-medium.md).

# 46. Permutations (Medium)

## 1.問題 

* 給予一個不重複數字的集合, 回傳所有可能的排列組合

![](/files/-LHx8ZXUKAjHwX1XU5Fj)

## 2.想法 

* Recursive + back tracking

## 3.程式碼

```
class Solution {
public:
    vector<vector<int>> permute(vector<int>& nums) {
        vector<vector<int>> res;
        vector<int> record;
        vector<bool> used(nums.size(), false);
        helper(res, nums, record, used);
        return res;
    }
private:
    void helper(vector<vector<int>>& res, vector<int>& nums, vector<int>& record, vector<bool>& used) {
        if (record.size() == nums.size()) {
            res.push_back(record);
            return;
        }
        for (int i = 0 ; i < nums.size(); i++) {
            if (!used[i]) {
                used[i] = true;
                record.push_back(nums[i]);
                helper(res, nums, record, used);
                record.pop_back();
                used[i] = false;
            }
        }
    }
};
```

## 4.Performance

![](/files/-LHx9Jlio2V-jrLfFCfD)