#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], mark[maxn];
pair<dbl,int> d[maxn];
vector<int> g[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(dbl c1, dbl t1) {
// priority_queue<pair<dbl,int>, vector<pair<dbl,int>>, greater<pair<dbl,int>>> pq;
for(int i = 1; i <= n; i++) {
d[i] = mp(inf1,0);
mark[i] = 0;
ds[i] = i;
dsz[i] = 1;
}
mark[1] = 1;
for(auto id : g[1]) {
int v = edg[id].fr.fr^edg[id].fr.sc^1;
int c = edg[id].sc.fr;
int t = edg[id].sc.sc;
d[v] = min(d[v],mp(c*c1+t*t1,id));
}
int C = 0;
int T = 0;
vector<pair<int,int>> curv;
while((int) curv.size() != n-1) {
pair<dbl,int> cur = mp(inf1,0);
for(int i = 1; i <= n; i++) {
if(mark[i]) continue;
cur = min(cur,d[i]);
}
int id = cur.sc;
int u = edg[id].fr.fr;
int v = edg[id].fr.sc;
int v1;
if(mark[u]) v1 = v;
else v1 = u;
u = find(u);
v = find(v);
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;
mark[v1] = 1;
for(auto id1 : g[v1]) {
int v2 = edg[id1].fr.fr^edg[id1].fr.sc^v1;
int c2 = edg[id1].sc.fr;
int t2 = edg[id1].sc.sc;
d[v2] = min(d[v2],mp(c2*c1+t2*t1,id1));
}
}
}
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
dbl sz = sqrt(dc*dc + dt*dt);
auto aux = mst(dt/sz,-dc/sz);
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 = 0; i < m; i++) {
int u,v,c,t; cin >> u >> v >> c >> t;
u++;
v++;
edg.pb(mp(mp(u,v),mp(c,t)));
g[u].pb(i);
g[v].pb(i);
}
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();
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
2074 ms |
340 KB |
Time limit exceeded |
| 2 |
Execution timed out |
2068 ms |
212 KB |
Time limit exceeded |
| 3 |
Execution timed out |
2080 ms |
212 KB |
Time limit exceeded |
| 4 |
Execution timed out |
2080 ms |
212 KB |
Time limit exceeded |
| 5 |
Execution timed out |
2092 ms |
340 KB |
Time limit exceeded |
| 6 |
Execution timed out |
2098 ms |
340 KB |
Time limit exceeded |
| 7 |
Execution timed out |
2070 ms |
340 KB |
Time limit exceeded |
| 8 |
Execution timed out |
2074 ms |
724 KB |
Time limit exceeded |
| 9 |
Correct |
1 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 |
7 ms |
340 KB |
Output is correct |
| 15 |
Correct |
16 ms |
356 KB |
Output is correct |
| 16 |
Execution timed out |
2067 ms |
340 KB |
Time limit exceeded |
| 17 |
Execution timed out |
2086 ms |
340 KB |
Time limit exceeded |
| 18 |
Execution timed out |
2083 ms |
1276 KB |
Time limit exceeded |
| 19 |
Execution timed out |
2071 ms |
1228 KB |
Time limit exceeded |
| 20 |
Execution timed out |
2085 ms |
724 KB |
Time limit exceeded |
