#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
using ll = long long;
#define all(x) x.begin(), x.end()
#define rep(i, n) for (int i = 0; i < n; i++)
int main(void)
{
    int n;
    cin >> n;
    string s;
    cin >> s;
    int cnt = 0;
    vector<vector<mint>> dp(n, vector<mint>(n));
    dp[0][0] = 1;
    rep(p, n){
        if(s[p] == '('){
            rep(i, cnt + 1){
                int j = cnt - i;
                dp[i+1][j]+=dp[i][j];
                dp[i][j+1]+=dp[i][j];
                dp[i][j] = 0;
            }
            cnt++;
        }
        else{
            rep(i, cnt + 1){
                int j = cnt - i;
                if(i > 0)
                    dp[i-1][j]+=dp[i][j];
                if (j > 0)
                    dp[i][j-1]+=dp[i][j];
                dp[i][j]=0;
            }
            cnt--;
        }
    }
    cout << dp[0][0].val() << endl;
    return 0;
}