#include <bits/stdc++.h>
using namespace std;
const int N = 201, M = 50000;
int dist[N][N], depth[N], prv[N], n, m;
bool path_1[M], path_n[M], path[M];
vector<array<int, 3>> adj[N];
array<int, 4> edges[M];
int dijkstra(int s, int t, bool *path) {
fill(adj, adj + n + 1, vector<array<int, 3>>());
fill(depth, depth + n + 1, INT_MAX);
for (int j = 0; j < m; ++j) {
auto [u, v, c, d] = edges[j];
adj[u].push_back({v, c, j});
}
priority_queue<array<int, 2>> queue;
queue.push({0, s});
depth[0] = 0;
while (!queue.empty()) {
auto [d, u] = queue.top();
queue.pop();
d = -d;
if (d > depth[u]) {
continue;
}
for (auto [c, w, i] : adj[u]) {
if (d + w < depth[c]) {
prv[c] = i;
depth[c] = d + w;
queue.push({-depth[c], c});
}
}
}
if (depth[t] < INT_MAX) {
int i = t;
while (i != s) {
auto [u, v, c, d] = edges[prv[i]];
path[prv[i]] = true;
i = u;
}
}
return depth[t];
}
int calc(int s, int t, int i) {
auto [u, v, c, d] = edges[i];
if (max(dist[s][u], dist[v][t]) < INT_MAX) {
return min(dist[s][t], dist[s][u] + dist[v][t] + c);
} else {
return dist[s][t];
}
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> m;
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= n; ++j) {
dist[i][j] = i == j ? 0 : INT_MAX;
}
}
for (int i = 0; i < m; ++i) {
auto &[u, v, c, d] = edges[i];
cin >> u >> v >> c >> d;
dist[u][v] = min(dist[u][v], c);
}
for (int k = 1; k <= n; ++k) {
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= n; ++j) {
if (max(dist[i][k], dist[k][j]) < INT_MAX) {
dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);
}
}
}
}
dijkstra(1, n, path_1);
dijkstra(n, 1, path_n);
int ans = max(dist[1][n], dist[n][1]) < INT_MAX ? dist[1][n] + dist[n][1] : INT_MAX;
for (int i = 0; i < m; ++i) {
auto &[u, v, c, d] = edges[i];
swap(u, v);
int dist_1 = path_1[i] ? dijkstra(1, n, path) : calc(1, n, i);
int dist_n = path_n[i] ? dijkstra(n, 1, path) : calc(n, 1, i);
if (max(dist_1, dist_n) < INT_MAX) {
ans = min(ans, dist_1 + dist_n + d);
}
swap(u, v);
}
cout << (ans < INT_MAX ? ans : -1) << "\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
14 ms |
508 KB |
Output is correct |
2 |
Correct |
13 ms |
496 KB |
Output is correct |
3 |
Correct |
15 ms |
460 KB |
Output is correct |
4 |
Correct |
15 ms |
460 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
14 ms |
588 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
35 ms |
460 KB |
Output is correct |
11 |
Correct |
34 ms |
460 KB |
Output is correct |
12 |
Correct |
35 ms |
472 KB |
Output is correct |
13 |
Correct |
15 ms |
536 KB |
Output is correct |
14 |
Correct |
15 ms |
536 KB |
Output is correct |
15 |
Correct |
15 ms |
532 KB |
Output is correct |
16 |
Correct |
15 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
40 ms |
2272 KB |
Output is correct |
2 |
Correct |
40 ms |
2208 KB |
Output is correct |
3 |
Correct |
43 ms |
2288 KB |
Output is correct |
4 |
Correct |
15 ms |
460 KB |
Output is correct |
5 |
Correct |
15 ms |
508 KB |
Output is correct |
6 |
Correct |
14 ms |
460 KB |
Output is correct |
7 |
Correct |
13 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
37 ms |
2140 KB |
Output is correct |
10 |
Correct |
36 ms |
2132 KB |
Output is correct |
11 |
Correct |
45 ms |
2244 KB |
Output is correct |
12 |
Correct |
46 ms |
2252 KB |
Output is correct |
13 |
Correct |
45 ms |
2276 KB |
Output is correct |
14 |
Correct |
43 ms |
2372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
15 ms |
472 KB |
Output is correct |
2 |
Correct |
13 ms |
508 KB |
Output is correct |
3 |
Correct |
31 ms |
1728 KB |
Output is correct |
4 |
Correct |
13 ms |
508 KB |
Output is correct |
5 |
Correct |
41 ms |
2212 KB |
Output is correct |
6 |
Correct |
1 ms |
344 KB |
Output is correct |
7 |
Correct |
1 ms |
344 KB |
Output is correct |
8 |
Correct |
35 ms |
2284 KB |
Output is correct |
9 |
Correct |
35 ms |
3156 KB |
Output is correct |
10 |
Correct |
38 ms |
3212 KB |
Output is correct |
11 |
Correct |
37 ms |
3132 KB |
Output is correct |
12 |
Correct |
38 ms |
3140 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
328 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
344 KB |
Output is correct |
18 |
Correct |
1 ms |
332 KB |
Output is correct |
19 |
Correct |
38 ms |
3172 KB |
Output is correct |
20 |
Correct |
39 ms |
3312 KB |
Output is correct |
21 |
Correct |
38 ms |
3076 KB |
Output is correct |
22 |
Correct |
38 ms |
3104 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
14 ms |
508 KB |
Output is correct |
2 |
Correct |
13 ms |
496 KB |
Output is correct |
3 |
Correct |
15 ms |
460 KB |
Output is correct |
4 |
Correct |
15 ms |
460 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
14 ms |
588 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
35 ms |
460 KB |
Output is correct |
11 |
Correct |
34 ms |
460 KB |
Output is correct |
12 |
Correct |
35 ms |
472 KB |
Output is correct |
13 |
Correct |
15 ms |
536 KB |
Output is correct |
14 |
Correct |
15 ms |
536 KB |
Output is correct |
15 |
Correct |
15 ms |
532 KB |
Output is correct |
16 |
Correct |
15 ms |
460 KB |
Output is correct |
17 |
Correct |
40 ms |
2272 KB |
Output is correct |
18 |
Correct |
40 ms |
2208 KB |
Output is correct |
19 |
Correct |
43 ms |
2288 KB |
Output is correct |
20 |
Correct |
15 ms |
460 KB |
Output is correct |
21 |
Correct |
15 ms |
508 KB |
Output is correct |
22 |
Correct |
14 ms |
460 KB |
Output is correct |
23 |
Correct |
13 ms |
492 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
37 ms |
2140 KB |
Output is correct |
26 |
Correct |
36 ms |
2132 KB |
Output is correct |
27 |
Correct |
45 ms |
2244 KB |
Output is correct |
28 |
Correct |
46 ms |
2252 KB |
Output is correct |
29 |
Correct |
45 ms |
2276 KB |
Output is correct |
30 |
Correct |
43 ms |
2372 KB |
Output is correct |
31 |
Correct |
15 ms |
472 KB |
Output is correct |
32 |
Correct |
13 ms |
508 KB |
Output is correct |
33 |
Correct |
31 ms |
1728 KB |
Output is correct |
34 |
Correct |
13 ms |
508 KB |
Output is correct |
35 |
Correct |
41 ms |
2212 KB |
Output is correct |
36 |
Correct |
1 ms |
344 KB |
Output is correct |
37 |
Correct |
1 ms |
344 KB |
Output is correct |
38 |
Correct |
35 ms |
2284 KB |
Output is correct |
39 |
Correct |
35 ms |
3156 KB |
Output is correct |
40 |
Correct |
38 ms |
3212 KB |
Output is correct |
41 |
Correct |
37 ms |
3132 KB |
Output is correct |
42 |
Correct |
38 ms |
3140 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
1 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
328 KB |
Output is correct |
46 |
Correct |
1 ms |
348 KB |
Output is correct |
47 |
Correct |
1 ms |
344 KB |
Output is correct |
48 |
Correct |
1 ms |
332 KB |
Output is correct |
49 |
Correct |
38 ms |
3172 KB |
Output is correct |
50 |
Correct |
39 ms |
3312 KB |
Output is correct |
51 |
Correct |
38 ms |
3076 KB |
Output is correct |
52 |
Correct |
38 ms |
3104 KB |
Output is correct |
53 |
Correct |
39 ms |
3228 KB |
Output is correct |
54 |
Correct |
44 ms |
3268 KB |
Output is correct |
55 |
Correct |
43 ms |
3220 KB |
Output is correct |
56 |
Correct |
15 ms |
568 KB |
Output is correct |
57 |
Correct |
15 ms |
476 KB |
Output is correct |
58 |
Correct |
284 ms |
2772 KB |
Output is correct |
59 |
Correct |
284 ms |
2768 KB |
Output is correct |
60 |
Correct |
291 ms |
2756 KB |
Output is correct |
61 |
Correct |
214 ms |
2716 KB |
Output is correct |
62 |
Correct |
262 ms |
2888 KB |
Output is correct |
63 |
Correct |
265 ms |
2692 KB |
Output is correct |
64 |
Correct |
847 ms |
3200 KB |
Output is correct |
65 |
Correct |
782 ms |
3068 KB |
Output is correct |
66 |
Correct |
767 ms |
3328 KB |
Output is correct |
67 |
Correct |
18 ms |
2632 KB |
Output is correct |
68 |
Correct |
37 ms |
3392 KB |
Output is correct |
69 |
Correct |
37 ms |
3324 KB |
Output is correct |
70 |
Correct |
46 ms |
3408 KB |
Output is correct |
71 |
Correct |
43 ms |
3412 KB |
Output is correct |
72 |
Correct |
43 ms |
3396 KB |
Output is correct |
73 |
Correct |
42 ms |
3444 KB |
Output is correct |
74 |
Correct |
45 ms |
3476 KB |
Output is correct |