#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;
int n, m;
struct Line {
int u, v;
ll t, c, w;
bool operator<(Line B) { return w < B.w; }
} lines[10000];
struct Point {
ll x, y;
};
bool collinear(Point A, Point B, Point C){
return (B.x - A.x) * (C.y - A.y) == (B.y - A.y) * (C.x - A.x);
}
int cmp[200];
int find(int A) {
while (A != cmp[A]) cmp[A] = cmp[cmp[A]], A = cmp[A];
return A;
}
void onion(int A, int B) { cmp[find(A)] = cmp[find(B)]; }
ll best_t = INT_MAX, best_c = INT_MAX;
vector<Line> best_res;
Point mst(ll dx, ll dy) {
FOR(i, 0, m) lines[i].w = dy * lines[i].t + dx * lines[i].c;
sort(lines, lines + m);
iota(cmp, cmp + n, 0);
ll t = 0, c = 0;
vector<Line> res;
FOR(i, 0, m) {
if (find(lines[i].u) != find(lines[i].v)) {
t += lines[i].t;
c += lines[i].c;
onion(lines[i].u, lines[i].v);
res.push_back(lines[i]);
}
}
if (t * c < best_t * best_c) {
best_t = t, best_c = c;
best_res = res;
}
return {t, c};
}
void recurse(Point A, Point B) {
Point C = mst(B.x - A.x, A.y - B.y);
if (collinear(A, B, C)) return;
recurse(A, C);
recurse(C, B);
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> m;
FOR(i, 0, m) cin >> lines[i].u >> lines[i].v >> lines[i].t >> lines[i].c;
Point A = mst(0, 1), B = mst(1, 0);
recurse(A, B);
cout << best_t << ' ' << best_c << '\n';
for (Line i : best_res) cout << i.u << ' ' << i.v << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
384 KB |
Output is correct |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
5 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 |
6 ms |
512 KB |
Output is correct |
8 |
Correct |
10 ms |
768 KB |
Output is correct |
9 |
Correct |
5 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 |
8 ms |
384 KB |
Output is correct |
15 |
Correct |
7 ms |
384 KB |
Output is correct |
16 |
Correct |
54 ms |
384 KB |
Output is correct |
17 |
Correct |
56 ms |
384 KB |
Output is correct |
18 |
Correct |
53 ms |
384 KB |
Output is correct |
19 |
Correct |
410 ms |
768 KB |
Output is correct |
20 |
Correct |
420 ms |
896 KB |
Output is correct |