#include <bits/stdc++.h>
using namespace std;
using ll = long long;


void print_list(vector<int> a){
	for(auto i:a){
		cout << i << ' ';
	}
	cout << '\n';
}

int main(){
    int n;
    string s;
    cin >> n >> s;
    
    vector<int> stack;
    for(auto i:s){
		if(i == '(')
			stack.push_back(0);
		else
			stack.back()++;
	}
	
	ll ansver = 1;
	for(auto i:stack){
		if(i != 0)
			ansver *= i;
	}
	
	cout << ansver << '\n';
	
    
    
    
    
}