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;
typedef long long ll;
#define x first
#define y second
string s;
ll n=0;
pair<ll,ll> sol(ll a, ll b)
{
if(a==b) return {1,n};
ll temp=a+4;
ll pl=true;ll c1=0;
while(pl)
{
c1+=(s[temp]=='(');
c1-=(s[temp]==')');
if(c1==0&&s[temp]==',') break;
temp++;
}
pair<ll,ll> o1=sol(a+4,temp-1);
pair<ll,ll> o2=sol(temp+1,b-1);
if(s[a+2]=='n')
{
ll temp1=0;
if(s[a+4]!='?'&&s[a+6]=='n'&&s[temp+1]!='?'&&s[temp+3]=='n') temp1++;
return {min(o1.x,o2.x),min(o1.y,o2.y)-1-temp1};
}
else
{
ll temp1=0;
if(s[a+4]!='?'&&s[a+6]=='x'&&s[temp+1]!='?'&&s[temp+3]=='x') temp1++;
return {max(o1.x,o2.x)+1+temp1,max(o1.y,o2.y)};
}
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
cin>>s;
for(auto i:s)n+=(i=='?');
cout<<(sol(0,s.size()-1).y-sol(0,s.size()-1).x+1);
return 0;
}
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