[Algo] 66. All Valid Permutations Of Parentheses I

Given N pairs of parentheses “()”, return a list with all the valid permutations.

Assumptions

• N > 0

Examples

• N = 1, all valid permutations are ["()"]
• N = 3, all valid permutations are ["((()))", "(()())", "(())()", "()(())", "()()()"]

public class Solution {
  public List validParentheses(int n) {
    // Write your solution here
    List res = new ArrayList<>();
    StringBuilder sb = new StringBuilder();
    helper(res, n, n, sb);
    return res;
  }

  private void helper(List res, int left, int right, StringBuilder sb) {
    if (left == 0 && right == 0) {
      res.add(sb.toString());
      return;
    }
    if (left > 0) {
      sb.append("(");
      helper(res, left - 1, right, sb);
      sb.deleteCharAt(sb.length() - 1);
    }
    if (right > left) {
      sb.append(")");
      helper(res, left, right - 1, sb);
      sb.deleteCharAt(sb.length() - 1);
    }
  }
}