921. Minimum Add to Make Parentheses Valid LeetCode Solution

Minimum Cost to Merge Stones

Minimum Add to Make Parentheses Valid A parentheses string is valid if and only if:

  • It is the empty string,
  • It can be written as AB (A concatenated with B), where A and B are valid strings, or
  • It can be written as (A), where A is a valid string.

You are given a parentheses string s. In one move, you can insert a parenthesis at any position of the string.

  • For example, if s = "()))", you can insert an opening parenthesis to be "(()))" or a closing parenthesis to be "())))".

Return the minimum number of moves required to make s valid.

Example 1:

Input: s = "())"
Output: 1

Example 2:

Input: s = "((("
Output: 3


  • 1 <= s.length <= 1000
  • s[i] is either '(' or ')'.

Minimum Add to Make Parentheses Valid Solutions

Time: O(n)
Space: O(n)


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