#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vll = vector<ll>;
using vvll = vector<vll>;
using vi = vector<int>;
using vvi = vector<vi>;
using pii = pair<int,int>;

int main() {
    int N;
    cin >> N;
    string S;
    cin >> S;
    vll score(N+1,0);
    vvll dp(N+1,vll(1501,0));
    for (int i = 1; i <= N; i++) {
        if (S[i-1] == '(') {
        score[i] = score[i-1] + 1;
        }
        else {
            score[i] = score[i-1] - 1;
        }
    }
    dp[0][0] = 1;
    ll a = 998244353;
    for (int i = 1; i <= N; i++) {
        for (int j = 0; j <= N/2; j++) {
            if (score[i] - j >= 0) {
                if (S[i-1] == '(') {
                    if (j > 0) {
                        dp[i][j] = dp[i-1][j-1];
                    }
                    dp[i][j] = (dp[i][j] + dp[i-1][j]) % a;
                }
                else {
                    if (j < N/2) {
                        dp[i][j] = dp[i-1][j+1];
                    }
                    dp[i][j] = (dp[i][j] + dp[i-1][j]) % a;
                }
            }
        }
    }
    cout << dp[N][0] << endl;
}