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>
#define int long long
using namespace std;
int INF = 1LL<<30;
vector<vector<int>> adjlist,revadjlist;
//revadjlist = original adjlist, adjlist is the reversed version
vector<int> dp0;
vector<int> dp1;
//dp0 = maximum set of unmoved vertices choosable if this vertex is taken, dp1 if it's not taken
signed main() {
/*#ifndef ONLINE_JUDGE
// for getting input from input.txt
freopen("input.txt", "r", stdin);
// for writing output to output.txt
freopen("output.txt", "w", stdout);
#endif*/
/*#ifdef ONLINE_JUDGE
ios_base::sync_with_stdio(false);
cin.tie(NULL);
#endif*/ //fast IO
int n; cin >> n;
adjlist=vector<vector<int>>(n);
revadjlist=vector<vector<int>>(n);
dp0=vector<int>(n,0);
dp1=vector<int>(n,0);
map<string,int> names;
int ct=0;
vector<int> sources;
vector<int> child(n);
vector<set<int>> parents(n);
for (int i=0; i<n; i++) {
string s,t; cin >> s >> t;
if (!names.count(s)) {
names[s] = ct;
ct++;
}
if (!names.count(t)) {
names[t] = ct;
ct++;
}
revadjlist[names[s]].push_back(names[t]);
child[names[s]]=names[t];
parents[names[t]].insert(names[s]);
if (s==t) {
sources.push_back(names[s]);
continue;
}
adjlist[names[s]].push_back(names[t]);
adjlist[names[t]].push_back(names[s]);
}
if (n%2==1) {
cout << -1 << endl; return 0;
}
int ops=0;
set<int> active;
for (int i=0; i<n; i++) active.insert(i);
for (int i=0; i<n; i++) {
if (active.count(i) && active.count(child[i]) && i!=child[i] && i==child[child[i]]) {
//cout << "easy remove" << " " << i <<" " << child[i] << endl;
active.erase(i); active.erase(child[i]);
}
}
vector<int> vals;
for (int i=0; i<n; i++) {
if (parents[i].size()==0) {
vals.push_back(i);
}
}
while (active.size()) {
if (!vals.size()) vals.push_back(*active.begin());
//do a BFS, if it's the last parent of a child, add the child
int rem = vals.back(); vals.pop_back();
ops++;
active.erase(rem);
parents[child[rem]].erase(rem);
//cout << "removing " << rem <<" " << child[rem] << endl;
if (active.count(child[rem])) {
active.erase(child[rem]);
parents[child[child[rem]]].erase(child[rem]);
if (active.count(child[child[rem]]) && parents[child[child[rem]]].size()==0) {
vals.push_back(child[child[rem]]);
}
}
}
cout << ops << endl;
}
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