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;
typedef long long ll;
const int N = 1e5 + 10, MOD = 998244353;
bool is[N];
vector<int> g[N];
int check(int n){
int res = 1e9;
for(int i = 0;i < (1 << n);i++){
for(int j = 0;j < n;j++){
if((i >> j) & 1){
is[j + 1] = 1;
}else{
is[j + 1] = 0;
}
}
bool ok = true;
for(int j = 1;j <= n;j++){
int x = 0;
for(int to:g[j]){
x += is[to];
}
if(x != 1){
ok = false;
break;
}
}
if(ok){
res = min(res,__builtin_popcount(i));
}
}
if(res == 1e9) res = -1;
return res;
}
int n;
void solve(){
for(int i = 1;i <= n;i++){
int x,y;
cin >> x >> y;
g[x].push_back(y);
g[y].push_back(x);
}
int res = check(n);
if(res == -1){
cout << res;
return;
}
assert(res == n / 2 || res == (n + 1) / 2);
cout << res;
}
void test(){
cin >> n;
if(n <= 20){
solve();
return;
}
if(n % 4){
cout << -1;
return;
}
cout << n / 2;
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int T = 1;
// cin >> T;
for(int i = 1;i <= T;i++)
{
test();
}
}
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