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 ar array
#define int long long
#define ld long double
#define crash assert(69 == 420)
const int N = 2e5 + 20;
const int MOD = 1e9 + 7;
const int INF = 1e18;
const int X = 100;
int p[N];
int n;
namespace sub1{
vector<int> g[N];
bitset<N> vis;
int cnt = 0;
void dfs(int x){
vis[x] = 1;
cnt++;
for(auto u: g[x]){
if(!vis[u])dfs(u);
}
}
bool check(int msk){
vector<int> v;
for(int i = 0;i < n;i++){
if(p[i] == i){
if((1 << i) & msk){
}else return 0;
}
}
for(int i = 0;i < n;i++)g[i].clear();
vis &= 0;
for(int i = 0;i < n;i++){
if((1 << i) & msk){
}else{
g[i].push_back(p[i]);
g[p[i]].push_back(i);
}
}
for(int i = 0;i<n;i++){
if(!vis[i]){
cnt = 0;
dfs(i);
if(cnt > 2)return 0;
}
}
return 1;
}
};
namespace sub2{
void solve(){
int ans = 0;
bitset<N> vis;
for(int i = 0;i < n;i++){
if(vis[i])continue;
int u = p[i];
vis[i] = 1;
int cnt = 1;
while(u != i){
vis[u] = 1;
cnt++;
u = p[u];
}
if(cnt % 2)ans += cnt / 2 + 1;
else if(cnt > 2)ans += cnt / 2;
}
cout<<ans;
}
};
signed main(){ios_base::sync_with_stdio(false);cin.tie(0);
//int n;
cin>>n;
if(n % 2){
cout<<-1<<endl;
return 0;
}
map<string, int> mp;
int G = 0;
for(int i = 0;i < n;i++){
string a, b;
cin>>a>>b;
if(!mp.count(a))mp[a] = G++;
if(!mp.count(b))mp[b] = G++;
p[mp[a]] = mp[b];
}
if(n <= 20){
int ans = INF;
for(int i = 0;i < (1 << n);i++){
if(sub1::check(i))ans = min(ans, (int)__builtin_popcount(i));
}
cout<<ans;
return 0;
}
sub2::solve();
}
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