Generate Parentheses

最新推荐文章于 2021-08-24 11:24:33 发布

最新推荐文章于 2021-08-24 11:24:33 发布 · 86 阅读

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本文提供了一个函数，用于生成给定数量的括号对的所有合法组合，例如当n为3时，组合包括((()))

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:

"((()))", "(()())", "(())()", "()(())", "()()()"

public class Solution {
    public List<String> generateParenthesis(int n) {
    	List<String> list = new ArrayList<String>();
    	solve(n,0,0,"",list);
    	return list;
    }

	private void solve(int n, int left, int right, String string, List<String> list) {
		if (left==n && right==n) {
			list.add(string);
		}
		if (left < n) {
			solve(n,left+1,right,string+'(',list);
		}
		if (right<n && left>right) {
			solve(n,left,right+1,string+')',list);
		}
	}
}