/**
	author:  shobonvip
	created: 2025.04.09 20:59:28
**/

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

//* ATCODER
#include<atcoder/all>
using namespace atcoder;
typedef modint998244353 mint;
//*/

/* BOOST MULTIPRECISION
#include<boost/multiprecision/cpp_int.hpp>
using namespace boost::multiprecision;
//*/

typedef long long ll;

#define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++)
#define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--)
#define all(v) v.begin(), v.end()

template <typename T> bool chmin(T &a, const T &b) {
	if (a <= b) return false;
	a = b;
	return true;
}

template <typename T> bool chmax(T &a, const T &b) {
	if (a >= b) return false;
	a = b;
	return true;
}

template <typename T> T max(vector<T> &a){
	assert(!a.empty());
	T ret = a[0];
	for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]);
	return ret;
}

template <typename T> T min(vector<T> &a){
	assert(!a.empty());
	T ret = a[0];
	for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]);
	return ret;
}

template <typename T> T sum(vector<T> &a){
	T ret = 0;
	for (int i=0; i<(int)a.size(); i++) ret += a[i];
	return ret;
}

int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);

	auto check = [&](string &s) {
		int x = 0;
		rep(i,0,(int)s.size()) {
			if (s[i] == '(') {
				x++;
			}else{
				x--;
				if(x < 0) return false;
			}
		}
		return x == 0;
	};
	
	int n; cin >> n;
	if (n >= 20) assert(false);
	string s; cin >> s;
	ll ans = 0;
	rep(i,0,1 << n) {
		string t1 = "";
		string t2 = "";
		rep(j,0,n) {
			if (i >> j & 1) {
				t1 += s[j];
			}else{
				t2 += s[j];
			}
		}
		if (check(t1) && check(t2)) {
			ans++;
		}
	}
	cout << ans << endl;

}