#include <string>
#include <vector>
class Solution {
public:
    /**
     * 代码中的类名、方法名、参数名已经指定,请勿修改,直接返回方法规定的值即可
     *
     * 
     * @param n int整型 
     * @return string字符串vector
     */
    vector<string> generateParenthesis(int n) {
        // write code here
        vector<string> res;
        if(n==0) return res;
        string temp;
        recursion(0, 0, temp, res, n);
        return res;
    }
    void recursion(int left,int right,string& temp,vector<string>& res,int n){
        //使用一次左括号
        if(left==n&&right==n){
            res.push_back(temp);
        }
        if(left < n){
            string str=temp + "(";
            recursion(left + 1, right, str, res, n);
        }
        //使用右括号个数必须少于左括号
        if(right < n && left > right){ 
            string str=temp + ")";
            recursion(left, right + 1, str, res, n);
        }
    }
};