#include <bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
#define PB push_back
#define EB emplace_back
#define bit(n,i) ((n>>i)&1)
#define all(x) x.begin(),x.end()
#define ll long long
#define sz(x) (int)x.size()
#define TASK "cf"
using namespace std;
const double maxx=1e5;
const int maxn=222;
const double eps=1e-9;
struct data{
ll u,v,t,c;
double w;
};
vector<data> e;
int n,m;
int par[maxn],Rank[maxn];
int find(int x) {
if (x==par[x]) return x; return par[x]=find(par[x]);
}
bool UNION(int x,int y) {
x=find(x);y=find(y);
if (x==y) return 0;
if (Rank[x]<Rank[y]) swap(x,y);
Rank[x]+=Rank[y];
par[y]=x;
return 1;
}
bool cmp(data a,data b) {
return a.w<b.w;
}
void init(ll x){
for (int i=0;i<=n;i++) {par[i]=i;Rank[i]=1;}
for (int i=0;i<m;i++) {
e[i].w=e[i].c*x+e[i].t*(maxx-x);
}
sort(all(e),cmp);
}
ll solve(double mid) {
init(mid);
int solt=0,solc=0;
for (int i=0;i<m;i++) {
if (UNION(e[i].u,e[i].v)){
solt+=e[i].t;
solc+=e[i].c;
}
}
return 1ll*solc*solt;
}
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin>>n>>m;
for (int i=1;i<=m;i++) {
int u,v,x,y; cin>>u>>v>>x>>y;
e.PB({u,v,x,y,0});
}
double lo=0,hi=maxx,res;
while(hi-lo>=eps){
double m1=(2*lo+hi)/3;
double m2=(lo+2*hi)/3;
if (solve(m1)<solve(m2)) hi=m2;else {lo=m1;res=m1;}
}
init(res);
vector<pair<int,int>> ans;
int sumc=0,sumt=0;
for (int i=0;i<m;i++) {
if (UNION(e[i].u,e[i].v)) {
sumc+=e[i].c;sumt+=e[i].t;
ans.PB(mp(e[i].u,e[i].v));
}
}
cout<<sumt<<" "<<sumc<<"\n";
for (auto x:ans) cout<<x.fi<<" "<<x.se<<"\n";
return 0;
}
Compilation message
timeismoney.cpp: In function 'int find(int)':
timeismoney.cpp:32:5: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
32 | if (x==par[x]) return x; return par[x]=find(par[x]);
| ^~
timeismoney.cpp:32:30: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
32 | if (x==par[x]) return x; return par[x]=find(par[x]);
| ^~~~~~
timeismoney.cpp: In function 'int main()':
timeismoney.cpp:83:9: warning: 'res' may be used uninitialized in this function [-Wmaybe-uninitialized]
83 | init(res);
| ~~~~^~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
5 ms |
600 KB |
Output is correct |
6 |
Correct |
2 ms |
348 KB |
Output is correct |
7 |
Correct |
17 ms |
604 KB |
Output is correct |
8 |
Correct |
89 ms |
1176 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
2 ms |
348 KB |
Output is correct |
13 |
Correct |
2 ms |
344 KB |
Output is correct |
14 |
Correct |
5 ms |
348 KB |
Output is correct |
15 |
Correct |
3 ms |
348 KB |
Output is correct |
16 |
Correct |
20 ms |
616 KB |
Output is correct |
17 |
Correct |
28 ms |
604 KB |
Output is correct |
18 |
Correct |
19 ms |
604 KB |
Output is correct |
19 |
Correct |
123 ms |
1428 KB |
Output is correct |
20 |
Correct |
136 ms |
1172 KB |
Output is correct |