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

using mint = modint998244353;

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int n; cin >> n;
    string s; cin >> s;
    vector<mint> dp(n + 1); dp[0] = 1;
    int sum = 0;
    for (char c : s) {
        sum += (c == '(' ? 1 : -1);
        vector<mint> cur(n + 1);
        for (int j = 0; j <= sum; j++) {
            cur[j] = dp[j];
            if (j > 0 || c == ')') {
                cur[j] += dp[j - (c == '(' ? 1 : -1)];
            }
        }
        dp = cur;
    }
    cout << dp[0].val();
}