#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
#define name "main"
const int N=(int)1e5;
vector<string>nen;
string s1[N+2],s2[N+2];
int deg[N+2],num[N+2],low[N+2],id[N+2],scc=0,timedfs=0;
int u[N+2],v[N+2],to[N+2],dp[N+2][2],n;
vector<int>ord,bag[N+2],ke[N+2];
bool used[N+2],del[N+2];
void buildup(int u){
num[u]=low[u]=++timedfs;
ord.push_back(u);
if (!num[to[u]]&&!del[to[u]]){
buildup(to[u]);
low[u]=min(low[u],low[to[u]]);
}
else if (!del[to[u]]) low[u]=min(low[u],num[to[u]]);
if (low[u]==num[u]){
int v;
++scc;
do{
v=ord.back();
ord.pop_back();
id[v]=scc;
del[v]=true;
bag[id[v]].push_back(v);
}while(v!=u);
}
}
void dfs(int u){
if (ke[u].size()==0){
dp[u][0]=0;
dp[u][1]=1;
return;
}
for(auto&v:ke[u]){
dfs(v);
dp[u][1]+=dp[v][0];
}
dp[u][1]++;
for(auto&v:ke[u]){
dp[u][0]=max(dp[u][0],dp[u][1]-1+max(0,dp[v][1]-dp[v][0]));
}
}
int32_t main(){
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin>>n;
if (n%2==1){
cout<<-1;
exit(0);
}
for(int i=1;i<=n;++i){
cin>>s1[i]>>s2[i];
nen.push_back(s1[i]);
nen.push_back(s2[i]);
}
sort(nen.begin(),nen.end());
nen.resize(unique(nen.begin(),nen.end())-nen.begin());
for(int i=1;i<=n;++i){
u[i]=upper_bound(nen.begin(),nen.end(),s1[i])-nen.begin();
v[i]=upper_bound(nen.begin(),nen.end(),s2[i])-nen.begin();
to[u[i]]=v[i];
}
assert(nen.size()==n);
for(int i=1;i<=n;++i) if (!num[i]) buildup(i);
for(int i=1;i<=scc;++i){
for(auto&u:bag[i]){
if (id[to[u]]!=i){
ke[id[to[u]]].push_back(i);
deg[i]++;
}
}
}
for(int i=1;i<=scc;++i) {
sort(ke[i].begin(),ke[i].end());
ke[i].resize(unique(ke[i].begin(),ke[i].end())-ke[i].begin());
}
int ans=0;
// for(int i=1;i<=n;++i){
// cout<<u[i]<<' '<<v[i]<<'\n';
// }
// for(int i=1;i<=n;++i) cout<<id[i]<<' '; cout<<'\n';
for(int i=1;i<=scc;++i){
if (deg[i]==0){
dfs(i);
if (bag[i].size()==2) ans+=2; else ans+=bag[i].size()/2;
if (bag[i].size()%2==0) ans+=dp[i][1]-1; else ans+=dp[i][0];
}
}
cout<<n-ans;
exit(0);
}
Compilation message
In file included from /usr/include/c++/10/cassert:44,
from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
from polygon.cpp:1:
polygon.cpp: In function 'int32_t main()':
polygon.cpp:73:19: warning: comparison of integer expressions of different signedness: 'std::vector<std::__cxx11::basic_string<char> >::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
73 | assert(nen.size()==n);
| ~~~~~~~~~~^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
14928 KB |
Output is correct |
2 |
Correct |
4 ms |
14928 KB |
Output is correct |
3 |
Correct |
3 ms |
14928 KB |
Output is correct |
4 |
Correct |
3 ms |
15096 KB |
Output is correct |
5 |
Correct |
3 ms |
13048 KB |
Output is correct |
6 |
Correct |
3 ms |
12720 KB |
Output is correct |
7 |
Correct |
3 ms |
14928 KB |
Output is correct |
8 |
Correct |
3 ms |
14928 KB |
Output is correct |
9 |
Correct |
3 ms |
14928 KB |
Output is correct |
10 |
Correct |
4 ms |
14928 KB |
Output is correct |
11 |
Correct |
3 ms |
14928 KB |
Output is correct |
12 |
Correct |
3 ms |
14928 KB |
Output is correct |
13 |
Correct |
3 ms |
14928 KB |
Output is correct |
14 |
Correct |
3 ms |
14928 KB |
Output is correct |
15 |
Correct |
3 ms |
14928 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
14928 KB |
Output is correct |
2 |
Correct |
3 ms |
14928 KB |
Output is correct |
3 |
Correct |
3 ms |
14928 KB |
Output is correct |
4 |
Correct |
115 ms |
31152 KB |
Output is correct |
5 |
Correct |
107 ms |
23984 KB |
Output is correct |
6 |
Correct |
105 ms |
32176 KB |
Output is correct |
7 |
Correct |
3 ms |
12880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
117 ms |
28684 KB |
Output is correct |
2 |
Correct |
116 ms |
30384 KB |
Output is correct |
3 |
Correct |
90 ms |
26288 KB |
Output is correct |
4 |
Correct |
2 ms |
12880 KB |
Output is correct |
5 |
Correct |
119 ms |
35080 KB |
Output is correct |
6 |
Correct |
111 ms |
27912 KB |
Output is correct |
7 |
Correct |
111 ms |
27912 KB |
Output is correct |
8 |
Correct |
103 ms |
27572 KB |
Output is correct |
9 |
Correct |
105 ms |
27340 KB |
Output is correct |
10 |
Correct |
77 ms |
27056 KB |
Output is correct |
11 |
Correct |
2 ms |
14928 KB |
Output is correct |
12 |
Correct |
2 ms |
14928 KB |
Output is correct |
13 |
Correct |
3 ms |
14928 KB |
Output is correct |
14 |
Correct |
3 ms |
14928 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
14928 KB |
Output is correct |
2 |
Correct |
4 ms |
14928 KB |
Output is correct |
3 |
Correct |
3 ms |
14928 KB |
Output is correct |
4 |
Correct |
3 ms |
15096 KB |
Output is correct |
5 |
Correct |
3 ms |
13048 KB |
Output is correct |
6 |
Correct |
3 ms |
12720 KB |
Output is correct |
7 |
Correct |
3 ms |
14928 KB |
Output is correct |
8 |
Correct |
3 ms |
14928 KB |
Output is correct |
9 |
Correct |
3 ms |
14928 KB |
Output is correct |
10 |
Correct |
4 ms |
14928 KB |
Output is correct |
11 |
Correct |
3 ms |
14928 KB |
Output is correct |
12 |
Correct |
3 ms |
14928 KB |
Output is correct |
13 |
Correct |
3 ms |
14928 KB |
Output is correct |
14 |
Correct |
3 ms |
14928 KB |
Output is correct |
15 |
Correct |
3 ms |
14928 KB |
Output is correct |
16 |
Correct |
3 ms |
14928 KB |
Output is correct |
17 |
Correct |
3 ms |
14928 KB |
Output is correct |
18 |
Correct |
3 ms |
14928 KB |
Output is correct |
19 |
Correct |
115 ms |
31152 KB |
Output is correct |
20 |
Correct |
107 ms |
23984 KB |
Output is correct |
21 |
Correct |
105 ms |
32176 KB |
Output is correct |
22 |
Correct |
3 ms |
12880 KB |
Output is correct |
23 |
Correct |
117 ms |
28684 KB |
Output is correct |
24 |
Correct |
116 ms |
30384 KB |
Output is correct |
25 |
Correct |
90 ms |
26288 KB |
Output is correct |
26 |
Correct |
2 ms |
12880 KB |
Output is correct |
27 |
Correct |
119 ms |
35080 KB |
Output is correct |
28 |
Correct |
111 ms |
27912 KB |
Output is correct |
29 |
Correct |
111 ms |
27912 KB |
Output is correct |
30 |
Correct |
103 ms |
27572 KB |
Output is correct |
31 |
Correct |
105 ms |
27340 KB |
Output is correct |
32 |
Correct |
77 ms |
27056 KB |
Output is correct |
33 |
Correct |
2 ms |
14928 KB |
Output is correct |
34 |
Correct |
2 ms |
14928 KB |
Output is correct |
35 |
Correct |
3 ms |
14928 KB |
Output is correct |
36 |
Correct |
3 ms |
14928 KB |
Output is correct |
37 |
Incorrect |
115 ms |
28944 KB |
Output isn't correct |
38 |
Halted |
0 ms |
0 KB |
- |