#include <bits/stdc++.h>
#define sz(x) ((int)x.size())
#define fi first
#define se second
#define pb push_back
using namespace std;
typedef long long ll;
typedef long double ld;
struct edge {
int u,v;
int v1,v2;
ld val;
bool operator<(const edge& b)const {
return val<b.val;
}
};
const ld R=1e5;
int n,m;
int par[210];
vector<edge> e;
int pn(int u){return u==par[u]?u:(par[u]=pn(par[u]));}
void us(int a,int b) {
a=pn(a),b=pn(b);
par[b]=a;
}
pair<ll,vector<edge>> f(ld x) {
for(int i=0;i<=n;i++)par[i]=i;
for(auto& it:e)it.val=it.v1*x+it.v2*(R-x);
sort(e.begin(),e.end());
ll s1=0,s2=0;
vector<edge> r;
for(auto& it:e) {
if(pn(it.u)!=pn(it.v)) {
us(it.u,it.v);
s1+=it.v1;
s2+=it.v2;
r.pb(it);
}
}
return {s1*s2,r};
}
int main() {
ios::sync_with_stdio(stdin);cin.tie(0);
cin>>n>>m;
for(int i=0;i<m;i++) {
int x,y,v1,v2;
cin>>x>>y>>v1>>v2;
e.pb({x,y,v1,v2});
}
ld lo=0,hi=R;
while(abs(lo-hi)>1e-7) {
ld m1=(lo*2+hi)/3;
ld m2=(lo+hi*2)/3;
if(f(m1).fi<f(m2).fi) hi=m2;
else lo=m1;
}
vector<edge> r=f(lo).se;
ll s1=0,s2=0;
for(auto& it:r) {
s1+=it.v1;
s2+=it.v2;
}
cout<<s1<<' '<<s2<<'\n';
for(auto& it:r)cout<<it.u<<' '<<it.v<<'\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
376 KB |
Output is correct |
2 |
Correct |
5 ms |
376 KB |
Output is correct |
3 |
Correct |
5 ms |
256 KB |
Output is correct |
4 |
Correct |
5 ms |
256 KB |
Output is correct |
5 |
Correct |
8 ms |
380 KB |
Output is correct |
6 |
Correct |
7 ms |
376 KB |
Output is correct |
7 |
Correct |
21 ms |
504 KB |
Output is correct |
8 |
Correct |
82 ms |
1140 KB |
Output is correct |
9 |
Correct |
5 ms |
256 KB |
Output is correct |
10 |
Correct |
5 ms |
256 KB |
Output is correct |
11 |
Correct |
5 ms |
256 KB |
Output is correct |
12 |
Correct |
5 ms |
256 KB |
Output is correct |
13 |
Correct |
5 ms |
376 KB |
Output is correct |
14 |
Correct |
8 ms |
376 KB |
Output is correct |
15 |
Correct |
8 ms |
376 KB |
Output is correct |
16 |
Correct |
23 ms |
504 KB |
Output is correct |
17 |
Correct |
23 ms |
504 KB |
Output is correct |
18 |
Correct |
22 ms |
504 KB |
Output is correct |
19 |
Correct |
103 ms |
1140 KB |
Output is correct |
20 |
Correct |
105 ms |
1140 KB |
Output is correct |