#include <stdio.h>
#define MOD 998244353

int a;
long long int check[3010][3010];
int sum[3010];
char x[3010];
long long int func(int k, int s)
{
	int t = sum[k-1] - s;
	if(k>a)
	{
		if(s==0&&t==0) return 1;
		else return 0;
	}
	if(check[k][s]!=-1) return check[k][s];
	
	long long int s1 = 0, s2 = 0;
	if(x[k]=='(')
	{
		s1 = func(k+1,s+1);
		s2 = func(k+1,s);
	}
	else
	{
		if(s>0) s1 = func(k+1,s-1);
		if(t>0) s2 = func(k+1,s);
	}
	return check[k][s] = (s1+s2)%MOD;
}

int main()
{
	scanf("%d",&a);
	scanf("%s",x+1);
	
	for(int i=1;i<=a;i++)
	{
		if(x[i]=='(') sum[i] = sum[i-1]+1;
		else sum[i] = sum[i-1]-1;
	}
	
	for(int i=0;i<=a;i++) for(int j=0;j<=a;j++) check[i][j] = -1;
	
	printf("%lld",func(1,0));
}