#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<string, string> pii;
const int N = 1e5+10;
const int INF = 1e6;
int ind[N], ed[N], n;
map<string, int> sc;
set<string> st;
bool vis[N];
int dfs(int v) {
vis[v]=true;
if (vis[ed[v]]) return 1;
return 1+dfs(ed[v]);
}
bool checksub2() {
for (int i=1; i<=n; ++i) {
if (ind[i] != 1) return false;
} return true;
}
int solvesub2() {
// everything's a cycle
int cnt=0, ans=0;
for (int i=1; i<=n; ++i) {
if (vis[i]) continue;
int sz=dfs(i);
if (sz == 2) continue;
ans+=sz/2;
if (sz%2) ++cnt;
} ans+=cnt;
return ans;
}
bool checksub1() {
return n <= 20;
}
int dp[1<<20];
bool vis2[1<<20];
int edg(int a, int b) {
return 2-(ed[a]==b)-(ed[b]==a);
}
int ssb1(int msk) {
if (vis2[msk]) return dp[msk];
if (msk == 0) return 0;
vis2[msk]=true, dp[msk]=INF;
vector<int> v;
for (int i=0; i<n; ++i) {
if (msk&(1<<i)) v.push_back(i);
} int sz=v.size();
for (int i=0; i<sz; ++i) {
for (int j=i+1; j<sz; ++j) {
dp[msk]=min(dp[msk], ssb1(msk^(1<<v[i])^(1<<v[j]))+edg(v[i]+1, v[j]+1));
}
} return dp[msk];
}
int solvesub1() {
return ssb1((1<<n)-1);
}
// no cycles
bool checksub3() {
return true;
}
int dfss(int v, bool ss) {
vis[v]=true;
if (ed[v] == v) return 0;
if (vis[ed[v]]) return 0;
if (ss) return dfss(ed[v], false);
return dfss(ed[v], true)+1;
}
int solvesub3() {
memset(vis, false, sizeof(vis));
int res=0;
for (int i=1; i<=n; ++i) {
if (vis[i]) continue;
if (ind[i] == 0) res+=dfss(i, false);
}
return res+(n-2*res);
}
void solve() {
cin>>n;
int c=1;
for (int i=1; i<=n; ++i) {
string a, b; cin>>a>>b;
if (st.find(a) == st.end()) sc[a]=c++;
st.insert(a);
if (st.find(b) == st.end()) sc[b]=c++;
st.insert(b);
int ap=sc[a], bp=sc[b];
ed[ap]=bp;
++ind[bp];
}
if (n%2) {
cout<<-1<<"\n";
return;
}
if (checksub2()) cout<<solvesub2()<<"\n";
else if (checksub1()) cout<<solvesub1()<<"\n";
else if (checksub3()) cout<<solvesub3()<<"\n";
else cout<<-1<<"\n";
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(NULL);
cout.tie(NULL);
int t=1;
while (t--) solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
254 ms |
5468 KB |
Output is correct |
2 |
Correct |
269 ms |
5584 KB |
Output is correct |
3 |
Correct |
248 ms |
5580 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
273 ms |
5584 KB |
Output is correct |
9 |
Correct |
289 ms |
5720 KB |
Output is correct |
10 |
Correct |
256 ms |
5576 KB |
Output is correct |
11 |
Correct |
257 ms |
5464 KB |
Output is correct |
12 |
Correct |
1 ms |
2648 KB |
Output is correct |
13 |
Correct |
0 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
257 ms |
19056 KB |
Output is correct |
5 |
Correct |
262 ms |
19028 KB |
Output is correct |
6 |
Correct |
221 ms |
18940 KB |
Output is correct |
7 |
Correct |
268 ms |
19112 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
214 ms |
18972 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
254 ms |
5468 KB |
Output is correct |
2 |
Correct |
269 ms |
5584 KB |
Output is correct |
3 |
Correct |
248 ms |
5580 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
273 ms |
5584 KB |
Output is correct |
9 |
Correct |
289 ms |
5720 KB |
Output is correct |
10 |
Correct |
256 ms |
5576 KB |
Output is correct |
11 |
Correct |
257 ms |
5464 KB |
Output is correct |
12 |
Correct |
1 ms |
2648 KB |
Output is correct |
13 |
Correct |
0 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
344 KB |
Output is correct |
19 |
Correct |
257 ms |
19056 KB |
Output is correct |
20 |
Correct |
262 ms |
19028 KB |
Output is correct |
21 |
Correct |
221 ms |
18940 KB |
Output is correct |
22 |
Correct |
268 ms |
19112 KB |
Output is correct |
23 |
Incorrect |
214 ms |
18972 KB |
Output isn't correct |
24 |
Halted |
0 ms |
0 KB |
- |