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

#ifdef _RUTHEN
#include "debug.hpp"
#else
#define show(...) true
#endif

using ll = long long;
#define rep(i, n) for (int i = 0; i < (n); i++)
template <class T> using V = vector<T>;

#include <atcoder/modint>
using mint = atcoder::modint998244353;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int N;
    cin >> N;
    string S;
    cin >> S;
    V<mint> dp(N);
    dp[0] = 1;
    int c = 0;
    rep(i, N) {
        V<mint> np(N);
        for (int j = 0; j < N; j++) {
            if (dp[j] == 0) continue;
            if (S[i] == '(') {
                np[j + 1] += dp[j];
                np[j] += dp[j];
            } else {
                if (j > 0) {
                    np[j - 1] += dp[j];
                }
                if (c - j > 0) {
                    np[j] += dp[j];
                }
            }
        }
        if (S[i] == '(') {
            c++;
        } else {
            c--;
        }
        swap(dp, np);
    }
    cout << dp[0].val() << '\n';
    return 0;
}