#define _USE_MATH_DEFINES
#include<iostream>
#include<vector>
#include<algorithm>
#include<cmath>
#include<string>
#include<iomanip>
#include<numeric>
#include<queue>
#include<deque>
#include<stack>
#include<set>
#include<map>
#include<random>
#include<bitset>
#include<cassert>
using namespace std;
typedef long long ll;
const int mod=998244353;
const int dx[]={1,0,0,-1},dy[]={0,1,-1,0};
int dp[3001][1501];
int main(){
	int n;
	string s;
	cin>>n>>s;
	dp[0][0]=1;
	int nest=0;
	for(int i=0;i<n;i++){
		for(int na=0;na<=nest;na++){
			if(s[i]=='('){
				(dp[i+1][na+1]+=dp[i][na])%=mod;
				(dp[i+1][na]+=dp[i][na])%=mod;
			}else{
				if(na!=0)
					(dp[i+1][na-1]+=dp[i][na])%=mod;
				if(na!=nest)
					(dp[i+1][na]+=dp[i][na])%=mod;
			}
		}
		if(s[i]=='(')
			nest++;
		else
			nest--;
	}
	cout<<dp[n][0]<<endl;
}