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(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.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 | int maxDepth(char * s){ int max = 0; int depth = 0; char* c = s; while(*c!='\0'){ switch(*c){ case '(': ++depth; if(depth>max){ max = depth; } break; case ')': --depth; break; } ++c; } return max; } |