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
using namespace std;
typedef long long ll;
typedef double db;
typedef long double ldb;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const ll MAX=1e5+10,P=998244353;
const ll INF=0x3f3f3f3f,oo=0x3f3f3f3f3f3f3f3f;
int n;
vector<pair<string,string> > eg;
int G[MAX];
int main() {
speed;
cin>>n;
vector<string> dct;
for (int i=0;i<n;i++) {
string a,b;
cin>>a>>b;
eg.emplace_back(a,b);
dct.push_back(a);
dct.push_back(b);
}
sort(all(dct));
dct.resize(unique(all(dct))-dct.begin());
for (int i=0;i<n;i++) {
auto [a,b]=eg[i];
int va=lower_bound(all(dct),a)-dct.begin();
int vb=lower_bound(all(dct),b)-dct.begin();
G[va]=vb;
}
if (n&1) {
cout<<"-1\n";
return 0;
}
int ans=n;
for (int st=0;st<(1<<n);st++) {
bool flag=true;
vector<int> cnt(n,0);
for (int i=0;i<n;i++) {
if (st&(1<<i)) continue;
if (G[i]==i) {
flag=false;
break;
}
int tgt=G[i];
if (G[tgt]==i) continue;
if (st&(1<<tgt)) {
if (cnt[tgt]==0) {
cnt[tgt]++;
continue;
}
}
flag=false;
break;
}
// if (flag) cout<<st<<"\n";
if (flag) ans=min(ans,__builtin_popcount(st));
}
cout<<ans<<"\n";
return 0;
}
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