leetcode 刷题 22.括号生成 （最快方法）（纯娱乐）

数字 n 代表生成括号的对数，请你设计一个函数，用于能够生成所有可能的并且 有效的 括号组合。

示例 1：

输入：n = 3
输出：["((()))","(()())","(())()","()(())","()()()"]

示例 2：

输入：n = 1
输出：["()"]

提示：

1 <= n <= 8

来源：力扣（LeetCode）
链接：https://leetcode-cn.com/problems/generate-parentheses
著作权归领扣网络所有。商业转载请联系官方授权，非商业转载请注明出处。

最快的方法当然是枚举了！

这个代码大家图一乐就得了，这个题我想到的比较正常的方法还是数学方法，因为每个“（”需要匹配一个“）”，所以只需要确定出“（”的位置即可。然后还需要满足“（”后面留出足够的空白。

大家别学这种代码哈，图一乐就行了
别看，要脸

class Solution {
public:
    vector<string> generateParenthesis(int n) {
        switch (n){
            case 1:return {"()"};
            case 2:return {"()()","(())"};
            case 3:return {"((()))","(()())","(())()","()(())","()()()"};
            case 4:return {"(((())))","((()()))","((())())","((()))()","(()(()))","(()()())","(()())()","(())(())","(())()()","()((()))","()(()())","()(())()","()()(())","()()()()"};
            case 5:return {"((((()))))","(((()())))","(((())()))","(((()))())","(((())))()","((()(())))","((()()()))","((()())())","((()()))()","((())(()))","((())()())","((())())()","((()))(())","((()))()()","(()((())))","(()(()()))","(()(())())","(()(()))()","(()()(()))","(()()()())","(()()())()","(()())(())","(()())()()","(())((()))","(())(()())","(())(())()","(())()(())","(())()()()","()(((())))","()((()()))","()((())())","()((()))()","()(()(()))","()(()()())","()(()())()","()(())(())","()(())()()","()()((()))","()()(()())","()()(())()","()()()(())","()()()()()"};
            case 6:return {"()()()()()()","()()()()(())","()()()(())()","()()()(()())","()()()((()))","()()(())()()","()()(())(())","()()(()())()","()()((()))()","()()(()()())","()()(()(()))","()()((())())","()()((()()))","()()(((())))","()(())()()()","()(())()(())","()(())(())()","()(())(()())","()(())((()))","()(()())()()","()(()())(())","()((()))()()","()((()))(())","()(()()())()","()(()(()))()","()((())())()","()((()()))()","()(((())))()","()(()()()())","()(()()(()))","()(()(())())","()(()(()()))","()(()((())))","()((())()())","()((())(()))","()((()())())","()(((()))())","()((()()()))","()((()(())))","()(((())()))","()(((()())))","()((((()))))","(())()()()()","(())()()(())","(())()(())()","(())()(()())","(())()((()))","(())(())()()","(())(())(())","(())(()())()","(())((()))()","(())(()()())","(())(()(()))","(())((())())","(())((()()))","(())(((())))","(()())()()()","(()())()(())","(()())(())()","(()())(()())","(()())((()))","((()))()()()","((()))()(())","((()))(())()","((()))(()())","((()))((()))","(()()())()()","(()()())(())","(()(()))()()","(()(()))(())","((())())()()","((())())(())","((()()))()()","((()()))(())","(((())))()()","(((())))(())","(()()()())()","(()()(()))()","(()(())())()","(()(()()))()","(()((())))()","((())()())()","((())(()))()","((()())())()","(((()))())()","((()()()))()","((()(())))()","(((())()))()","(((()())))()","((((()))))()","(()()()()())","(()()()(()))","(()()(())())","(()()(()()))","(()()((())))","(()(())()())","(()(())(()))","(()(()())())","(()((()))())","(()(()()()))","(()(()(())))","(()((())()))","(()((()())))","(()(((()))))","((())()()())","((())()(()))","((())(())())","((())(()()))","((())((())))","((()())()())","((()())(()))","(((()))()())","(((()))(()))","((()()())())","((()(()))())","(((())())())","(((()()))())","((((())))())","((()()()()))","((()()(())))","((()(())()))","((()(()())))","((()((()))))","(((())()()))","(((())(())))","(((()())()))","((((()))()))","(((()()())))","(((()(()))))","((((())())))","((((()()))))","(((((())))))"};
            case 7:return 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