Generate Parentheses
題意:
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:
"((()))", "(()())", "(())()", "()(())", "()()()"
解題思路:
updated on 2016.1.10
public class Solution {
public List<String> generateParenthesis(int n) {
List<String> res = new ArrayList<>();
helper(res, "", n, n);
return res;
}
public void helper(List<String> res, String s, int left, int right){
if(left == 0 && right == 0){
res.add(s);
return;
}
if (left > 0)
helper(res, s + "(", left - 1, right);
if(right > left)
helper(res, s + ")", left, right - 1);
}
}
public class Solution {
public List<String> generateParenthesis(int n) {
List<String> res = new ArrayList<String>();
if (n == 0) {
return res;
}
helper(res, n, n, new String());
return res;
}
private void helper(List<String> res, int left, int right, String str) {
if (left < right) {
return;
}
if (left == 0 && right == 0) {
res.add(new String(str));
}
if (left > 0) {
helper(res, left - 1, right, str + ")");
}
if (right > 0) {
helper(res, left, right - 1, str + "(");
}
}
}