#include <iostream>
#include <cstdio>
#include <algorithm>
#include <vector>
using namespace std;
#define endl '\n'
#define ll long long
#define pi pair<ll, int>
#define f first
#define s second
const int maxn = 200, maxm = 10000;
int n, m;
int it[maxm], u[maxm], v[maxm], a[maxm], b[maxm];
int par[maxn], rnk[maxn];
vector<pi> ans;
int find(int x){
return x == par[x] ? x : par[x] = find(par[x]);
}
pi mst(ll x, ll y, bool t = 0){
for(int i = 0; i < n; i++) par[i] = i, rnk[i] = 0;
sort(it, it + m, [&](int i, int j){
return a[i] * x + b[i] * y < a[j] * x + b[j] * y;
});
pi ret = {0, 0};
for(int i = 0; i < m; i++){
int j = it[i];
int w = find(u[j]), z = find(v[j]);
if(w != z){
ret.f += a[j], ret.s += b[j];
if(t) ans.push_back({u[j], v[j]});
if(rnk[w] < rnk[z]) swap(w, z);
rnk[w] += rnk[w] == rnk[z];
par[z] = w;
}
}
return ret;
}
pi f(pi x, pi y){
return x.f * x.s < y.f * y.s ? x : y;
}
pi solve(pi l, pi r){
pi p = mst(r.s - l.s, l.f - r.f);
if((p.f - l.f) * (r.s - l.s) == (p.s - l.s) * (r.f - l.f)) return f(l, r);
return f(solve(l, p), solve(p, r));
}
int main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> n >> m;
for(int i = 0; i < m; i++){
cin >> u[i] >> v[i] >> a[i] >> b[i];
it[i] = i;
}
pi ret = solve(mst(0, 1), mst(1, 0));
mst(ret.s, ret.f, 1);
cout << ret.f << " " << ret.s << endl;
for(pi i : ans) cout << i.f << " " << i.s << endl;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
4 ms |
384 KB |
Output is correct |
3 |
Correct |
4 ms |
384 KB |
Output is correct |
4 |
Correct |
4 ms |
384 KB |
Output is correct |
5 |
Correct |
5 ms |
384 KB |
Output is correct |
6 |
Correct |
5 ms |
384 KB |
Output is correct |
7 |
Correct |
5 ms |
384 KB |
Output is correct |
8 |
Correct |
10 ms |
512 KB |
Output is correct |
9 |
Correct |
4 ms |
384 KB |
Output is correct |
10 |
Correct |
5 ms |
384 KB |
Output is correct |
11 |
Correct |
5 ms |
384 KB |
Output is correct |
12 |
Correct |
5 ms |
384 KB |
Output is correct |
13 |
Correct |
5 ms |
384 KB |
Output is correct |
14 |
Correct |
9 ms |
384 KB |
Output is correct |
15 |
Correct |
7 ms |
384 KB |
Output is correct |
16 |
Correct |
69 ms |
384 KB |
Output is correct |
17 |
Correct |
76 ms |
384 KB |
Output is correct |
18 |
Correct |
72 ms |
384 KB |
Output is correct |
19 |
Correct |
631 ms |
512 KB |
Output is correct |
20 |
Correct |
645 ms |
580 KB |
Output is correct |