#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <atcoder/modint>

using namespace std;
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
#define rep(i,n) for(int i=0; i<(int)(n); i++)


const i64 INF = 1001001001001001001;
using modint = atcoder::static_modint<998244353>;

const int Z = 1500;

int main(){
    int N; cin >> N;
    string S; cin >> S;
    vector<modint> dp(Z+1);
    dp[0] = 1;
    int dep = 0;
    for(char c : S){
        if(c == '(') dep++; else dep--;
        vector<modint> tmp(Z+1);
        rep(i,Z+1) for(int di : {-1,1}){
            int nx = abs(i + di);
            if(nx > dep) continue;
            tmp[nx] += dp[i];
        }
        swap(dp, tmp);
    }
    modint ans = dp[0];
    cout << ans.val() << '\n';
    return 0;
}


struct ios_do_not_sync{
    ios_do_not_sync(){
        std::ios::sync_with_stdio(false);
        std::cin.tie(nullptr);
    }
} ios_do_not_sync_instance;