#include<bits/stdc++.h>
using namespace std;
const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()
const int maxn = 220;
int n, m, ds[maxn], dsz[maxn];
pair<int,pair<int,int>> ans;
vector<pair<pair<int,int>,pair<int,int>>> edg;
vector<pair<int,int>> ansv;
int find(int u) {
if(u == ds[u]) return u;
return ds[u] = find(ds[u]);
}
void join(int u, int v) {
if(dsz[u] < dsz[v]) swap(u,v);
dsz[u]+= dsz[v];
ds[v] = u;
}
pair<int,int> mst(int c1, int t1) {
// priority_queue<pair<dbl,int>, vector<pair<dbl,int>>, greater<pair<dbl,int>>> pq;
for(int i = 1; i <= n; i++) {
ds[i] = i;
dsz[i] = 1;
}
vector<pair<dbl,int>> edgs;
for(int i = 0; i < edg.size(); i++) {
int c = edg[i].sc.fr;
int t = edg[i].sc.sc;
// pq.push(mp(c*c1+t*t1,i));
edgs.pb(mp(c*c1+t*t1,i));
}
sort(all(edgs));
int C = 0;
int T = 0;
vector<pair<int,int>> curv;
int i = 0;
while((int) curv.size() != n-1) {
int id = edgs[i++].sc;
// pq.pop();
int u = find(edg[id].fr.fr);
int v = find(edg[id].fr.sc);
int c = edg[id].sc.fr;
int t = edg[id].sc.sc;
if(u != v) {
join(u,v);
curv.pb(mp(edg[id].fr.fr,edg[id].fr.sc));
C+= c;
T+= t;
}
}
if(ans.fr > C*T) {
ans.fr = C*T;
ans.sc = mp(C,T);
swap(ansv,curv);
}
// cout << " " << c1 << " " << t1 << " " << C << " " << T << endl;
return mp(C,T);
}
void dec(int cl, int tl, int cr, int tr) {
// cout << cl << " " << tl << " " << cr << " " << tr << endl;
int dc = cr-cl; // > 0
int dt = tr-tl; // < 0
auto aux = mst(dt,-dc);
int c = aux.fr;
int t = aux.sc;
if(c == cl || c == cr) return;
dec(cl,tl,c,t);
dec(c,t,cr,tr);
}
void solve() {
cin >> n >> m;
for(int i = 1; i <= m; i++) {
int u,v,c,t; cin >> u >> v >> c >> t;
u++;
v++;
edg.pb(mp(mp(u,v),mp(c,t)));
}
ans.fr = inf1;
pair<int,int> aux;
aux = mst(0,1);
int c0 = aux.fr;
int t0 = aux.sc;
aux = mst(1,0);
int c1 = aux.fr;
int t1 = aux.sc;
dec(c0,t0,c1,t1);
cout << ans.sc.fr << " " << ans.sc.sc << endl;
for(auto x : ansv) {
cout << x.fr-1 << " " << x.sc-1 << endl;
}
}
int32_t main() {
ios::sync_with_stdio(false); cin.tie(0);
// freopen("in.in", "r", stdin);
// freopen("out.out", "w", stdout);
int tt = 1;
// cin >> tt;
while(tt--) {
solve();
}
}
Compilation message
timeismoney.cpp: In function 'std::pair<long long int, long long int> mst(long long int, long long int)':
timeismoney.cpp:40:22: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<std::pair<long long int, long long int>, std::pair<long long int, long long int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
40 | for(int i = 0; i < edg.size(); i++) {
| ~~^~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
0 ms |
212 KB |
Output is correct |
| 3 |
Correct |
0 ms |
212 KB |
Output is correct |
| 4 |
Correct |
0 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 |
2 ms |
468 KB |
Output is correct |
| 8 |
Correct |
9 ms |
1052 KB |
Output is correct |
| 9 |
Correct |
1 ms |
212 KB |
Output is correct |
| 10 |
Correct |
0 ms |
212 KB |
Output is correct |
| 11 |
Correct |
0 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 |
6 ms |
340 KB |
Output is correct |
| 15 |
Correct |
5 ms |
364 KB |
Output is correct |
| 16 |
Correct |
113 ms |
468 KB |
Output is correct |
| 17 |
Correct |
121 ms |
468 KB |
Output is correct |
| 18 |
Correct |
105 ms |
468 KB |
Output is correct |
| 19 |
Correct |
998 ms |
1352 KB |
Output is correct |
| 20 |
Correct |
1058 ms |
1268 KB |
Output is correct |
