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 speed ios_base::sync_with_stdio(0); cin.tie(0)
#define all(x) (x).begin(),(x).end()
#define F first
#define S second
//#pragma GCC optimize("O3,unroll-loops")
//#pragma GCC target("avx,avx2")
//#pragma GCC target("popcnt")
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef double db;
typedef long double ldb;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const ll MAX=2e5+10,P=1e9+7;
const ll INF=0x3f3f3f3f,oo=0x3f3f3f3f3f3f3f3f;
const ldb eps=1e-6;
const ldb PI=acos(-1.0);
const int dir[4][2]={{0,1},{0,-1},{1,0},{-1,0}};
template<typename T>
using vvector = vector<vector<T>>;
int main() {
speed;
int n;
vector<pair<string,string>> e;
vector<string> d;
cin>>n;
for (int i=0;i<n;i++) {
string a,b;
cin>>a>>b;
e.emplace_back(a,b);
d.push_back(a);
d.push_back(b);
}
if (n&1) {
cout<<"-1\n";
return 0;
}
sort(all(d));
d.resize(unique(all(d))-d.begin());
n=d.size();
vector<int> G(n+1);
vector<int> ind(n+1),vis(n+1);
int ans=0;
for (int i=0;i<n;i++) {
int a=lower_bound(all(d),e[i].F)-d.begin()+1,b=lower_bound(all(d),e[i].S)-d.begin()+1;
// if (a==b) G[a]=0;
// else {
G[a]=b;
ind[b]++;
// }
}
queue<int> q;
for (int i=1;i<=n;i++) {
if (ind[i]==0) q.push(i);
}
while (!q.empty()) {
int v=q.front();
q.pop();
// cout<<v<<" v\n"<<flush;
ans++;
if (!vis[G[v]]) {
// cout<<v<<" "<<G[v]<<" v gv\n";
vis[G[v]]=true;
ind[G[G[v]]]--;
if (ind[G[G[v]]]==0 and !vis[G[G[v]]]) q.push(G[G[v]]);
}
vis[v]=true;
}
for (int i=1;i<=n;i++) {
if (vis[i]) continue;
vector<int> ccl;
ccl.push_back(i);
int now=G[i];
while (now!=ccl[0]) {
// cout<<now<<" now\n"<<flush;
ccl.push_back(now);
now=G[now];
}
for (int i:ccl) vis[i]=true;
if (ccl.size()==1) ans++;
else if (ccl.size()!=2) {
for (int i:ccl) {
if (vis[i]) continue;
if (vis[G[i]]) ans++;
else {
vis[i]=true;
vis[G[i]]=true;
ans++;
}
}
}
}
cout<<ans<<"\n";
return 0;
}
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