#include<bits/stdc++.h>
using namespace std;
using Int = long long;
//INSERT ABOVE HERE
signed main(){
  Int n;
  string s;
  cin>>n>>s;

  using P = pair<Int, Int>;
  vector<P> v;
  Int a=0,b=0,c=0,ans=0;
  for(Int i=0;i<n;i++){
    if(s[i]=='(') a++;
    else if(a) a--,c++;
    else b++;
    ans+=c;
    v.emplace_back(a,b);
  }
  a=0;b=0;
  for(Int i=0;i<n;i++){
    Int x,y;
    tie(x,y)=v[i];
    if(min(a,y)<min(x,b)) swap(a,x),swap(b,y);
    Int z=min(a,y);
    b+=y-z;
    a=x+a-z;
    ans+=z;
  }
  
  ans<<=1;
  cout<<ans<<endl;
  return 0;
}