#include"testlib.h"

using ll = long long;
const ll Nmin = 2;
const ll Nmax = 500'000;

int main(){
    registerValidation();
    ll N = inf.readLong(Nmin, Nmax);
    inf.readEoln();
    std::string S = inf.readToken();
    inf.readEoln();
    inf.readEof();

    inf.ensuref(N % 2 == 0, "N is even");
    bool typeA = [&]{
        for (ll i = 0; i < N/2; i++){
            if (S[i] == '(') continue;
            return false;
        }
        for (ll i = N/2; i < N; i++){
            if (S[i] == ')') continue;
            return false;
        }
        return true;
    }();
    bool typeB = [&]{
        for (ll i = 0; i < N; i++){
            if (i % 2 == 0){
                if (S[i] == '(') continue;
                return false;
            }
            else {
                if (S[i] == ')') continue;
                return false;
            }
        }
        return true;
    }();
    inf.ensuref(typeA || typeB, "S is type A or type B");
}