#include <bits/stdc++.h>
using namespace std;
const long long MOD = 998244353;
int main(){
  int N;
  cin >> N;
  string S;
  cin >> S;
  vector<int> sum(N + 1);
  sum[0] = 0;
  for (int i = 0; i < N; i++){
    sum[i + 1] = sum[i];
    if (S[i] == '('){
      sum[i + 1]++;
    }
    if (S[i] == ')'){
      sum[i + 1]--;
    }
  }
  vector<vector<long long>> dp(N + 1, vector<long long>(N + 1, 0));
  dp[0][0] = 1;
  for (int i = 0; i <= N; i++){
    for (int j = 0; j <= i; j++){
      if (S[i] == '('){
        dp[i + 1][j + 1] += dp[i][j];
        dp[i + 1][j + 1] %= MOD;
        dp[i + 1][j] += dp[i][j];
        dp[i + 1][j] %= MOD;
      }
      if (S[i] == ')'){
        if (j > 0){
          dp[i + 1][j - 1] += dp[i][j];
          dp[i + 1][j - 1] %= MOD;
        }
        if (sum[i] - j > 0){
          dp[i + 1][j] += dp[i][j];
          dp[i + 1][j] %= MOD;
        }
      }
    }
  }
  cout << dp[N][0] << endl;
}