#include<cstdio>
#include<algorithm>
using namespace std;
int N;
char S[1<<20];
int C[1<<20],M[1<<20];
main()
{
scanf("%d%s",&N,S);
if(N%2)
{
puts("0");
return 0;
}
int cnt=0;
for(int i=0;i<N;i++)
{
if(S[i]=='(')cnt++;
else cnt--;
C[i+1]=cnt;
}
M[N]=C[N];
for(int i=N;i--;)
{
M[i]=min(C[i],M[i+1]);
}
int ans=0;
for(int i=0;i<N;i++)
{
if(C[i]<0)break;
if(S[i]=='(')
{
if(M[i+1]==2&&cnt==2)ans++;
}
else
{
if(M[i+1]==-2&&cnt==-2)ans++;
}
}
printf("%d\n",ans);
}
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