#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;
}
};
vector<int> par,sz;
int total_groups;
void init(int n){
par.resize(n); sz.resize(n);
for(int i=0;i<=n;i++){
par[i]=i;
}
}
int find(int x){
if(par[x]==x) return x;
else return par[x]=find(par[x]);
}
void unite(int x, int y) {
x = find(x); y = find(y);
if (x == y) return;
if (sz[x] < sz[y]) swap(x, y);
par[y] = x;
}
bool same(int x,int y){
x = find(x);
y = find(y);
if(x==y) return true;
else return false;
}
//remember to init(n+5) and total_groups=n
const ld R = 1e5;
int n, m;
vector<edge> e;
pair<ll, vector<edge>> f(ld x) {
init(n+1);
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 (!same(it.u,it.v)) {
unite(it.u, it.v);
s1 += it.v1;
s2 += it.v2;
r.pb(it);
}
}
return { s1 * s2,r };
}
int main() {
ios::sync_with_stdio(0); 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) > 2) {
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 |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
5 ms |
340 KB |
Output is correct |
8 |
Correct |
24 ms |
856 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
2 ms |
340 KB |
Output is correct |
15 |
Correct |
2 ms |
340 KB |
Output is correct |
16 |
Correct |
7 ms |
340 KB |
Output is correct |
17 |
Correct |
7 ms |
340 KB |
Output is correct |
18 |
Correct |
7 ms |
340 KB |
Output is correct |
19 |
Correct |
38 ms |
856 KB |
Output is correct |
20 |
Correct |
38 ms |
856 KB |
Output is correct |