前言
发现做递归的题目的时候还是会遇到一些问题,有时候就怕转不过弯来题目
Given n pairs of parentheses, write a function to generate all combinations of well-formed parentheses.For example, given n = 3, a solution set is:
思路
其实思路就是先放左括号,再放右括号,直到左右括号的数量均==n即可。注意:放括号的过程中,永远不能出现当前右括号的数量大于左括号数量的情况AC代码
public class Solution {
public static ArrayList
generateParenthesis(int n) {
ArrayList
list = new ArrayList
(); StringBuilder str = new StringBuilder(); if (n == 0) { return list; } recursive(0, 0, n, str, list); return list; } public static void recursive(int left, int right, int n, StringBuilder str, ArrayList
list) { if (left < right) { return; } if (left == n && right == n) { String tmp = str.toString(); list.add(tmp); return; } if (left < n) { StringBuilder newstr = new StringBuilder(str.toString()); newstr.append('('); recursive(left + 1, right, n, newstr, list); } if (right < n) { StringBuilder newstr = new StringBuilder(str.toString()); newstr.append(')'); recursive(left, right + 1, n, newstr, list); } } }