#include<bits/stdc++.h>
namespace {
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wunused-function"
#include<atcoder/all>
#pragma GCC diagnostic pop
using namespace std;
using namespace atcoder;
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--)
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; }
template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; }
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;
using mint = modint998244353;

} int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n;
  cin >> n;
  string s;
  cin >> s;
  vector<mint> dp(n + 1), ndp(n + 1);
  int sm = 0;
  dp[0] = 1;
  rep(i, n) {
    ndp.assign(n + 1, 0);
    int si = s[i] == '(' ? 1 : -1;
    rep(x, n) {
      int y = sm - x;
      if (si == 1) {
        ndp[x + 1] += dp[x];
        ndp[x] += dp[x];
      } else {
        if (x) ndp[x - 1] += dp[x];
        if (y) ndp[x] += dp[x];
      }
    }
    swap(dp, ndp);
    sm += si;
  }
  mint ans = dp[0];
  cout << ans.val() << '\n';
}