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

using ll = long long;
using ull = unsigned long long;
using ld = long double;
template<class t> using vc = vector<t>;
template<class t> using vvc = vc<vc<t>>;
using pi = pair<int,int>;
using vi = vc<int>;
using vvi = vvc<int>;

#define rep(i,a,b) for (int i = a; i < b; i++)
#define irep(i,a,b) for (int i = a; i > b; i--)
#define print(n) cout << n << endl
#define rup(a,b) (a+b-1)/b


int main(){
    cout << fixed << setprecision(15);
    
    int N;
    string S;
    cin>>N>>S;
    ll mod = 998244353;
    vvc<ll> dp(N,vc<ll>(N,0));
    int now = 1;
    dp[0][1] ++;
    dp[0][0] ++;
    rep(i,0,N-1){
        if (S[i+1]=='('){
            rep(j,0,now+1){
                dp[i+1][j] += dp[i][j];
                dp[i+1][j] %= mod;
                dp[i+1][j+1] += dp[i][j];
                dp[i+1][j+1] %= mod;
            }
            now ++;
        }else{
            rep(j,0,now+1){
                if (j!=0){
                    dp[i+1][j-1] += dp[i][j];
                    dp[i+1][j-1] %= mod;
                }
                if(j!=now){
                    dp[i+1][j] += dp[i][j];
                    dp[i+1][j] %= mod;
                }
            }
            now --;
        }
    }
    print(dp[N-1][0]);
    
    //system("pause");
    return 0;
}