CCI 9.6 括号全部组合

实现一种算法,打印n对括号的全部有效组合(即左右括号正确配对)。

示例

输入:3

输出:((())),(()()),(())(),()(()),()()()。

import java.util.ArrayList;

public class CCI_9_6 {
	
	public static ArrayList<String> genePare(int n){
		ArrayList<String> result = new ArrayList<String>();
		if(n <= 0)
			return result;
		genePare(n, 0, 0, "", result);
		return result;
	}
	private static void genePare(int n, int leftCount, int rightCount, String str, ArrayList<String> result){
		//end
		if(rightCount == n){
			String temp = new String(str);
			result.add(temp);
			return;
		}
		//add left
		if(leftCount < n){
			genePare(n, leftCount+1, rightCount, str+"(", result);
		}
		//add right
		if(rightCount < leftCount){
			genePare(n, leftCount, rightCount+1, str+")", result);
		}
	}

	public static void main(String[] args) {
		int n = 3;
		ArrayList<String> result = genePare(n);
		for(String item : result){
			System.out.println(item);
		}
		
	}
}


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