This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast,O2,O3,unroll-loops")
#pragma GCC target("avx2")
#include <bits/stdc++.h>
#include <random>
using namespace std;
void debug_out() { cerr << endl; }
template<typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
cerr << "[" << H << "]";
debug_out(T...);
}
#ifdef dddxxz
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
#define SZ(s) ((int)s.size())
#define all(x) (x).begin(), (x).end()
#define lla(x) (x).rbegin(), (x).rend()
#define bpc(x) __builtin_popcount(x)
#define bpcll(x) __builtin_popcountll(x)
clock_t startTime;
double getCurrentTime() {
return (double) (clock() - startTime) / CLOCKS_PER_SEC;
}
#define MP make_pair
typedef long long ll;
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
const double eps = 0.000001;
const int MOD = 1e9 + 7;
const int INF = 1000000101;
const long long LLINF = 1223372000000000555;
const int N = 1e6 + 3e2;
const int M = 1111;
map<string, int> mp;
int id(const string &s){
if (mp.find(s) != mp.end()) return mp[s];
return mp[s] = mp.size() + 1;
}
int f[N];
bool used[N];
int cnt[N];
set<int> s[N];
void solve(int TC) {
int n;
cin >> n;
if (n & 1){
cout << -1;
return;
}
for (int i = 1; i <= n; i++){
string x, y;
cin >> x >> y;
f[id(x)] = id(y);
// cout << id(x) << ' ' << id(y) << endl;
}
// cout << endl;
for (int i = 1; i <= n; i++){
if (!used[i] && !used[f[i]] && f[f[i]] == i && f[i] != i){
used[i] = true;
used[f[i]] = true;
}
}
for (int i = 1; i <= n; i++){
if (f[i] != i && !used[i] && !used[f[i]]) s[f[i]].insert(i);
}
set<pair<int, int>> S;
for (int i = 1; i <= n; i++){
if (f[i] != i && !used[i] && !used[f[i]]) S.insert(MP(s[i].size(), i));
}
int ans = 0;
while (!S.empty()){
int i = S.begin()->second;
S.erase(MP(s[i].size(), i));
S.erase(MP(s[f[i]].size(), f[i]));
ans++;
used[i] = true;
used[f[i]] = true;
for (int j : s[i]) S.erase(MP(s[j].size(), j));
for (int j : s[f[i]]) S.erase(MP(s[j].size(), j));
int j = f[f[i]];
if (S.count(MP(s[j].size(), j))){
S.erase(MP(s[j].size(), j));
s[j].erase(f[i]);
if (!used[j] && !used[f[j]] && f[j] != j) S.insert(MP(s[j].size(), j));
}
}
for (int i = 1; i <= n; i++) ans += !used[i];
// for (int i = 1; i <= n; i++) cout << used[i] << ' '; cout << endl;
cout << ans << endl;
}
int main() {
startTime = clock();
ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
#ifdef dddxxz
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
int TC = 1;
// cin >> TC;
for (int test = 1; test <= TC; test++) {
//debug(test);
//cout << "Case #" << test << ": ";
solve(test);
}
#ifdef dddxxz
cerr << endl << "Time: " << int(getCurrentTime() * 1000) << " ms" << endl;
#endif
return 0;
}
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