#include <bits/stdc++.h>

#include <variant>

#define rep2(i, k, n) for (i64 i = (i64)(k); i < (i64)(n); i++)
#define rep(i, n) rep2(i, 0, n)
#define all(x) begin(x), end(x)
#ifdef ENV_LOCAL
#define dump \
  if (1) cerr
#else
#define dump \
  if (0) cerr
#endif

using namespace std;
using namespace std::string_literals;

using i32 = int32_t;
using i64 = int64_t;
using f64 = double;
using f80 = long double;
using vi32 = vector<i32>;
using vi64 = vector<i64>;

// using namespace harudake;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  i64 n;
  cin >> n;
  string s;
  cin >> s;
  vi64 dp(n + 1);
  dp[0] = 1;
  i64 o = 0, c = 0;
  constexpr i64 MOD = 998244353;
  rep(i, n) {
    if (s[i] == '(')
      ++o;
    else
      ++c;
    i64 d = o - c;
    vi64 nxt(n + 1);
    rep(j, n + 1) {
      if (s[i] == '(') {
        if (j + 1 <= d) {
          nxt[j + 1] += dp[j];
          nxt[j + 1] %= MOD;
        }
      } else {
        if (j > 0) {
          nxt[j - 1] += dp[j];
          nxt[j - 1] %= MOD;
        }
      }
      if (j <= d) {
        nxt[j] += dp[j];
        nxt[j] %= MOD;
      }
    }
    swap(dp, nxt);
  }
  cout << dp[0] << endl;
  return 0;
}