#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf 1000000000000



int main() {
    
	int n;
	cin>>n;
	
	string s;
	cin>>s;
	
	vector<mint> dp(n+1,0);
	dp[0] = 1;
	int sum = 0;
	rep(i,n){
		vector<mint> ndp(n+1,0);
		if(s[i]=='(')sum++;
		else sum--;
		rep(j,n+1){
			if(dp[j]==0)continue;
			{
				int jj = j;
				if(s[i]=='(')jj++;
				else jj--;
				int kk = sum - jj;
				if(kk>=0&&jj>=0){
					ndp[jj] += dp[j];					
				}
			}
			
			{
				int jj = j;
				int kk = sum - jj;
				if(kk>=0&&jj>=0){
					ndp[jj] += dp[j];					
				}
			}
			
		}
		swap(dp,ndp);
	}
		
	cout<<dp[0].val()<<endl;
	
    return 0;
}