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 ll long long
#define ld long double
#define gcd(a, b) __gcd(a, b)
#define lcm(a,b) a*b/gcd(a,b)
#define pb push_back
#define ii pair<int,int>
#define vi vector<int>
#define vii vector<pair<int,int>>
#define F first
#define S second
#define sz(x) (int)x.size()
#define fast ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define fore(a, b, c) for(int a=b; a<c; ++a)
#define all(x) x.begin(), x.end()
#define endl '\n';
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#define dbg(x...) cerr << "[" << #x << "] = ["; _print(x)
#define raya cerr << "==========================" << endl;
const double EPS = 1e-7;
const double PI = acos(-1);
const int MOD = 1e9+7;
int TC = 1;
const int N = 1e5+5;
vi adj[N];
int main(){
fast;
int n;
cin >> n;
fore(i, 0, n){
int u, v;
cin >> u >> v;
u--;
v--;
adj[u].pb(v);
adj[v].pb(u);
}
bool flag = 1;
fore(i, 0, n){
flag &= sz(adj[i]) == 2;
}
if(flag){
if(n%4 == 0){
cout << n/2;
} else {
cout << -1;
}
return 0;
}
int ans = 1e9;
vector<bool> blue(n);
auto check = [&]() -> bool {
bool ok = 1;
int r;
for(int u=0; u<n; ++u){
r = 0;
for(int v : adj[u]){
if(blue[v]){
r++;
}
}
ok &= r == 1;
}
return ok;
};
for(int mask=0; mask<(1<<n); ++mask){
blue.assign(n, 0);
for(int i=0; (1<<i)<=mask; ++i){
if((1<<i) & mask){
blue[i] = 1;
}
}
if(check()){
ans = min(ans, __builtin_popcount(mask));
}
}
cout << (ans == 1e9 ? -1 : ans);
}
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