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;
int n;
int bruvv;
map<string, int> nume;
int f[100005];
int indeg[100005];
bool taken[100005];
bool viz[100005];
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin >> n;
for (int i = 1; i <= n; i++)
{
string x, y;
cin >> x >> y;
if (nume[x] == 0)
nume[x] = ++bruvv;
if (nume[y] == 0)
nume[y] = ++bruvv;
int xx = nume[x], yy = nume[y];
f[xx] = yy;
}
if (n % 2 == 1)
{
cout << -1;
return 0;
}
set<pair<int,int>> s;
int op = n;
for (int i = 1; i <= n; i++)
{
if (f[i] != i and f[f[i]] == i)
op--, taken[i] = true;
else
indeg[f[i]]++;
}
for (int i = 1; i <= n; i++)
{
if (f[i] == i or f[f[i]] != i)
s.insert({indeg[i], i});
}
bool wow = false;
while (!s.empty())
{
pair<int,int> pr = *s.begin();
s.erase(pr);
int x = pr.second;
if (indeg[x] != 0)
{
wow = true;
break;
}
if (!taken[f[x]])
{
taken[x] = true;
taken[f[x]] = true;
op--;
s.erase({indeg[f[x]], f[x]});
if (!taken[f[f[x]]])
{
s.erase({indeg[f[f[x]]], f[f[x]]});
indeg[f[f[x]]]--;
s.insert({indeg[f[f[x]]], f[f[x]]});
}
}
else
f[x] = x;
}
if (wow)
{
vector<int> noduri_lmao;
for (int i = 1; i <= n; i++)
if (!taken[i])
noduri_lmao.push_back(i);
for (auto it : noduri_lmao)
{
if (!viz[it])
{
int sz = 0;
int xx = it;
while (!viz[xx])
{
viz[xx] = true;
sz++;
xx = f[xx];
}
op -= (sz - (sz / 2 + sz % 2));
}
}
}
cout << op;
return 0;
}
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