#include <bits/stdc++.h>
#include <atcoder/all>

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(a) a.begin(), a.end()
#define Sort(a) sort(a.begin(), a.end())
#define RSort(a) sort(a.rbegin(), a.rend())
#define out(a) cout << a << "\n"

typedef long long int ll;
typedef long double ld;
typedef vector<int> vi;
typedef vector<long long> vll;
typedef vector<char> vc;
typedef vector<string> vst;
typedef vector<double> vd;
typedef pair<long long, long long> P;

const long long INF = 0x1fffffffffffffff;
const long long MOD = 998244353;
const double PI = acos(-1);
 
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
template<class T, class U> inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; }
template<class T> inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; }

ll n;
string s;

void input(){
    cin >> n >> s;
}
 
void solve(){
    vector<vector<ll>> dp(n / 2 + 1, vector<ll>(n / 2 + 1));
    vector<vector<ll>> tmp(n / 2 + 1, vector<ll>(n / 2 + 1));
    ll l = 0, r = 0, currdiff = 0, prevdiff = 0;
    dp[0][0] = 1;
    vector<P> currP, prevP;
    rep(i, n){
        if(s[i] == '('){
            l++;
        }else{
            r++;
        }
        currdiff = l - r;
        for(int j = 0; j <= n / 2; j++){
            ll jj = j;
            if(s[i] == '('){
                jj++;
            }else{
                jj--;
            }
            if(jj < 0) continue;
            ll k1 = currdiff - jj, k2 = prevdiff - j;
            if(k1 < 0 || k2 < 0) continue;
            tmp[jj][k1] += dp[j][k2];
            tmp[jj][k1] %= MOD; 
            tmp[k1][jj] += dp[k2][j];
            tmp[k1][jj] %= MOD; 
            currP.push_back({jj, k1});
        }
        for(auto x : prevP){
            dp[x.first][x.second] = 0;
            dp[x.second][x.first] = 0;
        }
        for(auto x : currP){
            dp[x.first][x.second] = tmp[x.first][x.second];
            dp[x.second][x.first] = tmp[x.second][x.first];
        }
        for(auto x : currP){
            tmp[x.first][x.second] = 0;
            tmp[x.second][x.first] = 0;
        }
        prevP = currP;
        currP.clear();
        prevdiff = currdiff;
    }
    out(dp[0][0]);
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    
    input();
    solve();
}