This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
long long n,l1,l2,k,ans,gaxs,shekr;
string s;
int main()
{
cin>>n;
cin>>s;
for(k=1;k<=n-1;k++)
{
cin>>l1>>l2;
}
for(k=1;k<=n;k++)
{
if(s[k-1]=='('){
gaxs++;
}
else{
if(gaxs==0)
{
shekr=0;
continue;
}
if(gaxs>1)
{
ans+=1;
}
if(gaxs==1)
{
ans+=1;
ans+=shekr;
shekr++;
}
gaxs--;
}
}
gaxs=0;
shekr=0;
for(k=n;k>=1;k--)
{
if(s[k-1]=='('){
gaxs++;
}
else{
if(gaxs==0)
{
shekr=0;
continue;
}
if(gaxs>1)
{
ans+=1;
}
if(gaxs==1)
{
ans+=1;
ans+=shekr;
shekr++;
}
gaxs--;
}
}
cout<<ans;
}
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