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 <iostream>
#include <vector>
using namespace std;
const int stala=3e6+10;
vector<int>w[stala];
int dp[stala][2];
int tab[stala]; //0-? 1-min 2-max
int index=0,l=0;
string s;
void make_edge(int x,int y)
{
if(x==-1||y==-1){
return;
}
w[x].push_back(y);
w[y].push_back(x);
}
int f(int pop,int start)
{
index++;
make_edge(pop,index);
int current_index=index;
if(s[start]=='?'){
l++;
return start;
}
else if(s[start+1]=='i'){
tab[current_index]=1;
int pom=f(current_index,start+4)+2;
return f(current_index,pom)+1;
}
else{
tab[current_index]=2;
int pom=f(current_index,start+4)+2;
return f(current_index,pom)+1;
}
}
void dfs(int k)
{
if(tab[k]==0){
dp[k][0]=1;
dp[k][1]=1;
}
else if(k==1){
dfs(w[k][0]);
dfs(w[k][1]);
int a1=dp[w[k][0]][0];
int b1=dp[w[k][1]][0];
int a2=dp[w[k][0]][1];
int b2=dp[w[k][1]][1];
if(tab[k]==1){
dp[k][0]=min(a1,b1);
dp[k][1]=a2+b2;
}
else{
dp[k][0]=a1+b1;
dp[k][1]=min(a2,b2);
}
}
else{
dfs(w[k][1]);
dfs(w[k][2]);
int a1=dp[w[k][1]][0];
int b1=dp[w[k][2]][0];
int a2=dp[w[k][1]][1];
int b2=dp[w[k][2]][1];
if(tab[k]==1){
dp[k][0]=min(a1,b1);
dp[k][1]=a2+b2;
}
else{
dp[k][0]=a1+b1;
dp[k][1]=min(a2,b2);
}
}
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>s;
f(-1,0);
dfs(1);
int x=dp[1][0];
int y=l-dp[1][1]+1;
cout<<max(0,y-x+1);
return 0;
}
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