#include <bits/stdc++.h>
using namespace std;
const int N = 205;
struct Edge {
int u, v, c, t;
Edge (int u, int v, int c, int t) :
u(u), v(v), c(c), t(t) {}
};
typedef pair<int, int> ii;
int n, m;
int par[N];
vector<Edge> edges;
ii res = ii(1e9, 1e9);
vector<ii> vres, buf;
int find(int u) { return u == par[u] ? u : par[u] = find(par[u]); }
bool join(int u, int v) {
u = find(u), v = find(v), par[u] = v; return u != v;
}
ii get(int c1, int c2) {
sort(edges.begin(), edges.end(), [&] (Edge x, Edge y) {
return 1LL * x.c * c1 + 1LL * x.t * c2 < 1LL * y.c * c1 + 1LL * y.t * c2;
});
ii ret = ii(0, 0); buf.clear();
for (int i = 0; i < n; ++i) par[i] = i;
for (auto i : edges) {
if (join(i.u, i.v)) {
ret.first += i.c, ret.second += i.t;
buf.push_back(ii(i.u, i.v));
}
}
return ret;
}
bool ccw(ii x, ii y, ii z) {
return 1LL * (y.first - x.first) * (z.second - x.second) - 1LL * (y.second - x.second) * (z.first - x.first) > 0;
}
void calc(ii x) {
if (1LL * res.first * res.second > 1LL * x.first * x.second) {
res = x, vres = buf;
}
}
void solve(ii l, ii r) {
ii mid = get(l.second - r.second, r.first - l.first);
if (ccw(mid, r, l)) {
calc(mid), solve(l, mid), solve(mid, r);
}
}
int main() {
ios::sync_with_stdio(false);
cin >> n >> m;
for (int i = 0; i < m; ++i) {
int u, v, c, t; cin >> u >> v >> c >> t;
edges.push_back(Edge(u, v, c, t));
}
ii l = get(1, 0); calc(l);
ii r = get(0, 1); calc(r);
solve(l, r);
cout << res.first << ' ' << res.second << '\n';
for (auto i : vres) cout << i.first << ' ' << i.second << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
1 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
424 KB |
Output is correct |
4 |
Correct |
2 ms |
440 KB |
Output is correct |
5 |
Correct |
2 ms |
440 KB |
Output is correct |
6 |
Correct |
2 ms |
440 KB |
Output is correct |
7 |
Correct |
3 ms |
604 KB |
Output is correct |
8 |
Correct |
7 ms |
920 KB |
Output is correct |
9 |
Correct |
1 ms |
920 KB |
Output is correct |
10 |
Correct |
2 ms |
920 KB |
Output is correct |
11 |
Correct |
1 ms |
920 KB |
Output is correct |
12 |
Correct |
2 ms |
920 KB |
Output is correct |
13 |
Correct |
2 ms |
920 KB |
Output is correct |
14 |
Correct |
7 ms |
920 KB |
Output is correct |
15 |
Correct |
5 ms |
920 KB |
Output is correct |
16 |
Correct |
75 ms |
920 KB |
Output is correct |
17 |
Correct |
107 ms |
920 KB |
Output is correct |
18 |
Correct |
75 ms |
920 KB |
Output is correct |
19 |
Correct |
611 ms |
944 KB |
Output is correct |
20 |
Correct |
602 ms |
944 KB |
Output is correct |