# Minimum Bracket Addition

Given a string `s`

containing brackets `(`

and `)`

, return the minimum number of brackets that can be inserted so that the brackets are balanced.

**Constraints**

`n ≤ 100,000`

where`n`

is the length of`s`

https://binarysearch.com/problems/Minimum-Bracket-Addition

## Examples

### Example 1

**Input**

- s =
`)))((`

**Output**

- answer =
`5`

**Explanation**

We can insert `(((`

to the front and `))`

to the end

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