#include <algorithm>
#include <iostream>
#include <climits>
#include <vector>
#include <deque>
#include <queue>
#include <stack>
#include <map>
#include <set>
#include <iomanip>
#include <cassert>
#include <random>
#include <chrono>
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
using ull = unsigned long long;
using ll = long long;
//#define int __int128
//#define int ll
#define pii pair <int, int>
#define all(a) (a).begin(), (a).end()
#define fr first
#define sc second
#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define vt vector
#define FOR(a, b) for(int i = (a); i <= (b); i++)
#define FORr(a, b) for(int i = (a); i >= (b); i--)
#define sz(x) (int)(x).size()
#define YES cout << "YES\n"
#define NO cout << "NO\n"
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int rangerng(int l, int r){
return uniform_int_distribution<>(l, r)(rng);
}
////////////////////////////////////////////////////////////////////////////////////
const int NMAX = 1e5;
const int INF = 1e9;
int to[NMAX + 1];
vt <int> in[NMAX + 1];
int viz[NMAX + 1];
int CYCID = 0;
int cycid[NMAX + 1];
vt <int> st;
void dfs(int node){
viz[node] = 1;
st.pb(node);
if(viz[to[node]] == 0){
dfs(to[node]);
}else if(viz[to[node]] == 1){
++CYCID;
while(st.back() != to[node]){
cycid[st.back()] = CYCID;
st.pop_back();
}
cycid[st.back()] = CYCID;
st.pop_back();
}
viz[node] = 2;
}
int dp[NMAX + 1][2];
void dfs2(int node, int par){
int sum = 0;
for(int vec : in[node]){
if(vec != par && cycid[vec] == 0){
dfs2(vec, node);
sum += max(dp[vec][0], dp[vec][1]);
}
}
dp[node][0] = dp[node][1] = sum;
for(int vec : in[node]){
if(vec != par && cycid[vec] == 0){
dp[node][1] = max(dp[node][1], dp[node][1] + sum - max(dp[vec][0], dp[vec][1]) + dp[vec][1]);
}
}
}
int D[NMAX + 1][2];
void solve(){
int n;
cin >> n;
int Id = 0;
map <string, int> ids;
for(int i = 1; i <= n; i++){
string a, b;
cin >> a >> b;
if(ids[a] == 0){
ids[a] = ++Id;
}
if(ids[b] == 0){
ids[b] = ++Id;
}
to[ids[a]] = ids[b];
in[ids[b]].pb(ids[a]);
}
for(int i = 1; i <= n; i++){
if(!viz[i]){
dfs(i);
}
}
if(n & 1){
cout << -1 << '\n';
return;
}
for(int i = 1; i <= n; i++){
if(cycid[i] != 0){
dfs2(i, 0);
}
}
for(int i = 1; i <= n; i++){
viz[i] = 0;
}
int ans = 0;
for(int i = 1; i <= n; i++){
if(cycid[i] != 0 && !viz[cycid[i]]){
viz[cycid[i]] = 1;
vt <int> aux;
aux.pb(i);
int node = to[i];
while(node != i){
aux.pb(node);
node = to[node];
}
int tmp = 0;
// cazul liber:
D[aux[0]][0] = dp[aux[0]][0];
D[aux[0]][1] = dp[aux[0]][1];
for(int j = 1; j < sz(aux); j++){
D[aux[j]][0] = max(D[aux[j - 1]][0], D[aux[j - 1]][1]) + dp[aux[j]][0];
D[aux[j]][1] = max(D[aux[j - 1]][0], D[aux[j - 1]][1] + 1) + dp[aux[j]][1];
}
tmp = max(D[aux.back()][0], D[aux.back()][1]);
// cazul fortam muchie:
D[aux[0]][0] = -INF;
D[aux[0]][1] = dp[aux[0]][1];
for(int j = 1; j < sz(aux); j++){
D[aux[j]][0] = max(D[aux[j - 1]][0], D[aux[j - 1]][1]) + dp[aux[j]][0];
D[aux[j]][1] = max(D[aux[j - 1]][0], D[aux[j - 1]][1] + 1) + dp[aux[j]][1];
}
tmp = max(tmp, D[aux.back()][1] + 1);
ans += tmp;
}
}
cout << n - ans << '\n';
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int T;
//cin >> T;
T = 1;
while(T--){
solve();
}
return 0;
}
/*
8
1 2
3 2
4 1
2 5
5 6
6 2
7 8
8 7
4
1 3
2 3
3 4
4 4
3
1 2
2 3
3 1
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
2652 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
4956 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
241 ms |
18124 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
2652 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |