java.lang.Object
g1501_1600.s1541_minimum_insertions_to_balance_a_parentheses_string.Solution

public class Solution extends java.lang.Object
1541 - Minimum Insertions to Balance a Parentheses String.

Medium

Given a parentheses string s containing only the characters '(' and ')'. A parentheses string is balanced if:

  • Any left parenthesis '(' must have a corresponding two consecutive right parenthesis '))'.
  • Left parenthesis '(' must go before the corresponding two consecutive right parenthesis '))'.

In other words, we treat '(' as an opening parenthesis and '))' as a closing parenthesis.

  • For example, "())", "())(())))" and "(())())))" are balanced, ")()", "()))" and "(()))" are not balanced.

You can insert the characters '(' and ')' at any position of the string to balance it if needed.

Return the minimum number of insertions needed to make s balanced.

Example 1:

Input: s = “(()))”

Output: 1

Explanation: The second ‘(’ has two matching ‘))’, but the first ‘(’ has only ‘)’ matching. We need to to add one more ‘)’ at the end of the string to be “(())))” which is balanced.

Example 2:

Input: s = “())”

Output: 0

Explanation: The string is already balanced.

Example 3:

Input: s = “))())(”

Output: 3

Explanation: Add ‘(’ to match the first ‘))’, Add ‘))’ to match the last ‘(’.

Constraints:

  • 1 <= s.length <= 105
  • s consists of '(' and ')' only.
  • Constructor Summary

    Constructors
    Constructor
    Description
     
  • Method Summary

    Modifier and Type
    Method
    Description
    int
    minInsertions(java.lang.String s)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • minInsertions

      public int minInsertions(java.lang.String s)