#include <bits/stdc++.h>
using namespace std;
#define int long long
struct edge{
int a, b, c, t;
long double val;
bool operator<(const edge& ot) const{
return val<ot.val;
}
};
int n, m;
vector<edge> v;
vector<int> fat, sz;
int solc, solt;
vector<edge> ans;
int get(int x){
if(x==fat[x]) return x;
return fat[x]=get(fat[x]);
}
void join(edge x){
int a=get(x.a), b=get(x.b);
if(a==b) return;
solc+=x.c;
solt+=x.t;
ans.push_back(x);
if(sz[a]<sz[b]) swap(a, b);
sz[a]+=sz[b];
fat[b]=a;
}
int check(long double rat){
for(int i=0;i<n;++i) fat[i]=i, sz[i]=1;
for(int i=0;i<m;++i) v[i].val=v[i].c*rat+v[i].t*((long double)1e5-rat);
sort(v.begin(), v.end());
solc=0, solt=0;
ans.clear();
for(int i=0;i<m;++i){
join(v[i]);
}
return solc*solt;
}
int32_t main(){
cin>>n>>m;
v.resize(m);
for(int i=0;i<m;++i){
cin>>v[i].a>>v[i].b>>v[i].t>>v[i].c;
}
fat.resize(n), sz.resize(n);
long double st=0, dr=1e5;
while((dr-st)>1e-7){
long double m1=(2*st+dr)/3;
long double m2=(st+2*dr)/3;
if(check(m1)<check(m2)) dr=m2;
else st=m1;
}
check(st);
int sumc=0, sumt=0;
for(auto it:ans){
sumc+=it.c, sumt+=it.t;
}
cout<<sumt<<" "<<sumc<<"\n";
for(auto it:ans) cout<<it.a<<" "<<it.b<<"\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
204 KB |
Output is correct |
5 |
Correct |
4 ms |
332 KB |
Output is correct |
6 |
Correct |
3 ms |
332 KB |
Output is correct |
7 |
Correct |
17 ms |
332 KB |
Output is correct |
8 |
Correct |
89 ms |
844 KB |
Output is correct |
9 |
Correct |
1 ms |
204 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
204 KB |
Output is correct |
12 |
Correct |
1 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
4 ms |
204 KB |
Output is correct |
15 |
Correct |
3 ms |
332 KB |
Output is correct |
16 |
Correct |
19 ms |
332 KB |
Output is correct |
17 |
Correct |
20 ms |
332 KB |
Output is correct |
18 |
Correct |
19 ms |
440 KB |
Output is correct |
19 |
Correct |
110 ms |
916 KB |
Output is correct |
20 |
Correct |
106 ms |
812 KB |
Output is correct |