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;
#define MAXN 100005
#define FOR(i, a, b) for(int i = a; i <= b; i++)
#define f first
#define s second
int n, ec[MAXN];
string st[MAXN], nx[MAXN];
map<string, int> idx;
set<int> adj[MAXN];
bool d[MAXN];
int main(){
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
FOR(i, 1, n) ec[i] = 0;
FOR(i, 1, n){
cin >> st[i];
idx.insert({st[i], i});
cin >> nx[i];
}
if(n % 2) {
cout << -1 << endl;
return 0;
}
int r = 0;
FOR(i, 1, n){
d[i] = (idx[nx[idx[nx[i]]]] == i && idx[nx[i]] != i);
}
FOR(i, 1, n){
if(i == idx[nx[i]] || d[i] || d[idx[nx[i]]]) continue;
ec[i]++, ec[idx[nx[i]]]++;
}
FOR(i, 1, n){
if(i == idx[nx[i]] || d[i] || d[idx[nx[i]]]) continue;
adj[i].insert(idx[nx[i]]);
//cout << "DCVVB: " << idx[nx[i]] << endl;
adj[idx[nx[i]]].insert(i);
}
set<pair<int, int>> se;
FOR(i, 1, n) if(!d[i]) se.insert({ec[i], i});
bool v[MAXN];
FOR(i, 1, n) v[i] = false;
while(se.size()){
auto si = *se.begin();
se.erase(se.begin());
v[si.s] = true;
if(si.f == 0){
r++;
//cout << st[si.s] << " FALLALEUJAH! " << endl;
}else{
int j = 0, jmn = INT_MAX;
for(int i : adj[si.s]){
if(jmn > ec[i]) j = i, jmn = ec[i];
}
r++;
//cout << st[si.s] << " ~ " << st[j] << " : " << si.s << " " << j << endl;
se.erase({jmn, j});
v[j] = true;
for(int j2 : adj[j]) if(!v[j2]) {
se.erase({ec[j2], j2});
adj[j2].erase(j), ec[j2]--;
se.insert({ec[j2], j2});
}
}
for(int i2 : adj[si.s]) if(v[i2]) {
se.erase({ec[i2], i2});
adj[i2].erase(si.s), ec[i2]--;
se.insert({ec[i2], i2});
}
}
cout << r << "\n";
}
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