#include <bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;
using ll = long long;
using vi = vector<int>;
using vvi = vector<vector<int>>;
using pii = pair<int, int>;
#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
#define repr(i, n) for (int i = (int)(n - 1); i >= 0; --i)

using mint = modint998244353;
int main() {
    int n;
    string s;
    cin >> n >> s;
    vi a(n + 1, 0);
    rep(i, n) a[i + 1] = a[i] + (s[i] == '(' ? 1 : -1);
    vector<mint> dp(n + 1, 0);
    dp[0] = 1;
    rep(i, n) {
        for (int j = a[i] + 1; j < n; j++) dp[j] = 0;
        if (s[i] == '(') {
            repr(i, n) dp[i + 1] += dp[i];
        } else {
            rep(i, n) dp[i] += dp[i + 1];
        }
    }
    cout << dp[0].val() << endl;
    return 0;
}