1614. Maximum Nesting Depth of the Parentheses

#### QUESTION:

A string is a valid parentheses string (denoted VPS) if it meets one of the following:

It is an empty string “”, or a single character not equal to “(“ or “)”, It can be written as AB (A concatenated with B), where A and B are VPS’s, or It can be written as (A), where A is a VPS. We can similarly define the nesting depth depth(S) of any VPS S as follows:

depth(“”) = 0 depth(C) = 0, where C is a string with a single character not equal to “(“ or “)”. depth(A + B) = max(depth(A), depth(B)), where A and B are VPS’s. depth(“(“ + A + “)”) = 1 + depth(A), where A is a VPS. For example, “”, “()()”, and “()(()())” are VPS’s (with nesting depths 0, 1, and 2), and “)(“ and “(()” are not VPS’s.

Given a VPS represented as string s, return the nesting depth of s.

Example 1:

``````Input: s = "(1+(2*3)+((8)/4))+1"
Output: 3
Explanation: Digit 8 is inside of 3 nested parentheses in the string.
``````

Example 2:

``````Input: s = "(1)+((2))+(((3)))"
Output: 3
``````

Example 3:

``````Input: s = "1+(2*3)/(2-1)"
Output: 1
``````

Example 4:

``````Input: s = "1"
Output: 0
``````

Constraints:

``````1 <= s.length <= 100
s consists of digits 0-9 and characters '+', '-', '*', '/', '(', and ')'.
It is guaranteed that parentheses expression s is a VPS.
``````

#### SOLUTION:

``````class Solution {
fun maxDepth(s: String): Int {
var result : Int = 0
var stack : Int = 0
for (a in s.toCharArray()){
when (a) {
'(' -> {
stack++
result = Math.max(result, stack)
}
')' -> stack--
}
}
return result
}
}
``````