#include <bits/stdc++.h>
#define int long long
#define pii pair <int, int>
#define fi first
#define se second
using namespace std;
struct edge{
int u,v,t,c;
}e[10001];
int n,m,p[201],sz[201],mn=1e18;
vector <edge> v,res;
pii q;
int f(int i){
return (p[i]==i?i:p[i]=f(p[i]));
}
int unite(int i, int j){
i=f(i);
j=f(j);
if (i==j)
return 0;
if (sz[i]<sz[j])
swap(i,j);
p[j]=i;
sz[i]+=sz[j];
return 1;
}
int A,B;
pii calc(int a, int b){
int t=0,c=0;
A=a,B=b;
for (int i=0;i<n;i++){
p[i]=i;
sz[i]=1;
}
sort(e+1,e+m+1,[](edge x, edge y){return x.t*A+x.c*B<y.t*A+y.c*B;});
v.clear();
for (int i=1;i<=m;i++){
int y=unite(e[i].u,e[i].v);
t+=y*e[i].t;
c+=y*e[i].c;
if (y)
v.push_back(e[i]);
}
if (mn>t*c){
mn=t*c;
q={t,c};
res=v;
}
return {t,c};
}
void g(pii a, pii b){
auto c=calc(a.se-b.se,b.fi-a.fi);
if ((c.se-a.se)*(b.fi-a.fi)==(b.se-a.se)*(c.fi-a.fi))
return;
g(a,c);
g(c,b);
}
int32_t main(){
ios_base::sync_with_stdio(NULL);cin.tie(nullptr);
cin >> n >> m;
for (int i=1;i<=m;i++)
cin >> e[i].u >> e[i].v >> e[i].t >> e[i].c;
g(calc(1,0),calc(0,1));
cout << q.first << ' ' << q.second << '\n';
for (auto e:res)
cout << e.u << ' ' << e.v << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
2 ms |
340 KB |
Output is correct |
8 |
Correct |
4 ms |
596 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
3 ms |
340 KB |
Output is correct |
15 |
Correct |
3 ms |
340 KB |
Output is correct |
16 |
Correct |
50 ms |
396 KB |
Output is correct |
17 |
Correct |
51 ms |
400 KB |
Output is correct |
18 |
Correct |
46 ms |
340 KB |
Output is correct |
19 |
Correct |
415 ms |
644 KB |
Output is correct |
20 |
Correct |
425 ms |
644 KB |
Output is correct |