#include <bits/stdc++.h>
using namespace std;
using ll = long long;
int main () {
    ll m = 998244353;
    int N;
    string s;
    cin >> s;
    ll dp[3030][3030];
    for (int i = 0; i <= N; i ++) {
        for (int j = 0; j <= N; j ++) {
            dp[i][j] = 0;
        }
    }
    dp[0][0] = 1;
    int now = 0;
    for (int i = 1; i <= N; i ++) {
        int x = (s[i - 1] == '(' ? 1 : -1);
        now += x;
        for (int j = 0; j <= now; j ++) {
            dp[i][j] = dp[i - 1][j];
            if (0 <= j - x && j - x <= N) {
                dp[i][j] += dp[i - 1][j - x];
                dp[i][j] %= m;
            }
        }
    }
    cout << dp[N][0] << endl;
}