void generate(int n, int l, int r, string paren, vector<string>& parens)
{
if (l == n && r == n)
{
parens.push_back(paren);
}
else
{
if (l < n)
{
generate(n, l + 1, r, paren + '(', parens);
}
if (r < l)
{
generate(n, l, r + 1, paren + ')', parens);
}
}
}
vector<string> generateParenthesis(int n)
{
vector<string> parens;
string paren;
generate(n, 0, 0, paren, parens);
return parens;
}
class Solution {
List<String> res = new ArrayList<>();
public List<String> generateParenthesis(int n) {
dfs(n, n, "");
return res;
}
private void dfs(int left, int right, String curStr) {
if (left == 0 && right == 0) {
res.add(curStr);
return;
}
if (left > 0) {
dfs(left - 1, right, curStr + "(");
}
if (right > left) {
dfs(left, right - 1, curStr + ")");
}
}
}