#include <iostream>
#include <vector>
#include <queue>
#include <algorithm>
using namespace std;
const long long INF = 1e18;
int main(){
cin.tie(0)->sync_with_stdio(0);
int n, m; cin >> n >> m;
int S, T, U, V; cin >> S >> T >> U >> V;
S--, T--, U--, V--;
vector<vector<pair<int, long long>>> g(n);
for (int i = 0; i < m; i++){
int u, v, w; cin >> u >> v >> w;
u--, v--;
g[u].emplace_back(v, w);
g[v].emplace_back(u, w);
}
auto dijkstra = [&](int s){
priority_queue<pair<long long, int>, vector<pair<long long, int>>, greater<pair<long long, int>>> pq;
pq.emplace(0, s);
vector<long long> dis(n, INF);
dis[s] = 0;
vector<bool> vis(n);
while (pq.size()){
auto [d, u] = pq.top();
pq.pop();
if (vis[u]) continue;
vis[u] = 1;
for (auto &[v, w]: g[u]){
if (dis[v] > dis[u] + w){
dis[v] = dis[u] + w;
pq.emplace(dis[v], v);
}
}
}
return dis;
};
auto disU = dijkstra(U), disV = dijkstra(V);
priority_queue<pair<long long, int>, vector<pair<long long, int>>, greater<pair<long long, int>>> pq;
pq.emplace(0, S);
vector<long long> dis(n, INF);
dis[S] = 0;
vector<bool> vis(n);
vector<vector<int>> stk(n);
vector<long long> ans(n, INF), minU(n, INF), minV(n, INF);
while (pq.size()){
auto [d, u] = pq.top();
pq.pop();
if (vis[u]) continue;
vis[u] = 1;
minU[u] = disU[u], minV[u] = disV[u];
for (auto &v: stk[u]){
ans[u] = min(ans[u], ans[v]);
minU[u] = min(minU[u], minU[v]);
minV[u] = min(minV[u], minV[v]);
}
ans[u] = min({ans[u], minU[u] + disV[u], minV[u] + disU[u]});
for (auto &[v, w]: g[u]){
if (dis[v] > dis[u] + w){
stk[v].clear();
stk[v].push_back(u);
dis[v] = dis[u] + w;
pq.emplace(dis[v], v);
}else if (dis[v] == dis[u] + w){
stk[v].push_back(u);
}
}
}
cout << min(ans[T], disU[V]) << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
262 ms |
27936 KB |
Output is correct |
2 |
Correct |
259 ms |
26888 KB |
Output is correct |
3 |
Correct |
257 ms |
26828 KB |
Output is correct |
4 |
Correct |
250 ms |
27256 KB |
Output is correct |
5 |
Correct |
254 ms |
26624 KB |
Output is correct |
6 |
Correct |
299 ms |
27844 KB |
Output is correct |
7 |
Correct |
240 ms |
26856 KB |
Output is correct |
8 |
Correct |
297 ms |
26964 KB |
Output is correct |
9 |
Correct |
258 ms |
27640 KB |
Output is correct |
10 |
Correct |
227 ms |
27576 KB |
Output is correct |
11 |
Correct |
121 ms |
19704 KB |
Output is correct |
12 |
Correct |
263 ms |
27548 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
279 ms |
27200 KB |
Output is correct |
2 |
Correct |
286 ms |
26920 KB |
Output is correct |
3 |
Correct |
261 ms |
26768 KB |
Output is correct |
4 |
Correct |
288 ms |
26828 KB |
Output is correct |
5 |
Correct |
253 ms |
26784 KB |
Output is correct |
6 |
Correct |
296 ms |
26844 KB |
Output is correct |
7 |
Correct |
274 ms |
26888 KB |
Output is correct |
8 |
Correct |
261 ms |
26936 KB |
Output is correct |
9 |
Correct |
287 ms |
26820 KB |
Output is correct |
10 |
Correct |
262 ms |
26768 KB |
Output is correct |
11 |
Correct |
107 ms |
19780 KB |
Output is correct |
12 |
Correct |
281 ms |
26940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
2004 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
15 ms |
3732 KB |
Output is correct |
5 |
Correct |
7 ms |
1992 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
2 ms |
468 KB |
Output is correct |
8 |
Correct |
2 ms |
596 KB |
Output is correct |
9 |
Correct |
1 ms |
372 KB |
Output is correct |
10 |
Correct |
7 ms |
2004 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
328 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
262 ms |
27936 KB |
Output is correct |
2 |
Correct |
259 ms |
26888 KB |
Output is correct |
3 |
Correct |
257 ms |
26828 KB |
Output is correct |
4 |
Correct |
250 ms |
27256 KB |
Output is correct |
5 |
Correct |
254 ms |
26624 KB |
Output is correct |
6 |
Correct |
299 ms |
27844 KB |
Output is correct |
7 |
Correct |
240 ms |
26856 KB |
Output is correct |
8 |
Correct |
297 ms |
26964 KB |
Output is correct |
9 |
Correct |
258 ms |
27640 KB |
Output is correct |
10 |
Correct |
227 ms |
27576 KB |
Output is correct |
11 |
Correct |
121 ms |
19704 KB |
Output is correct |
12 |
Correct |
263 ms |
27548 KB |
Output is correct |
13 |
Correct |
279 ms |
27200 KB |
Output is correct |
14 |
Correct |
286 ms |
26920 KB |
Output is correct |
15 |
Correct |
261 ms |
26768 KB |
Output is correct |
16 |
Correct |
288 ms |
26828 KB |
Output is correct |
17 |
Correct |
253 ms |
26784 KB |
Output is correct |
18 |
Correct |
296 ms |
26844 KB |
Output is correct |
19 |
Correct |
274 ms |
26888 KB |
Output is correct |
20 |
Correct |
261 ms |
26936 KB |
Output is correct |
21 |
Correct |
287 ms |
26820 KB |
Output is correct |
22 |
Correct |
262 ms |
26768 KB |
Output is correct |
23 |
Correct |
107 ms |
19780 KB |
Output is correct |
24 |
Correct |
281 ms |
26940 KB |
Output is correct |
25 |
Correct |
7 ms |
2004 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
328 KB |
Output is correct |
28 |
Correct |
15 ms |
3732 KB |
Output is correct |
29 |
Correct |
7 ms |
1992 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
2 ms |
468 KB |
Output is correct |
32 |
Correct |
2 ms |
596 KB |
Output is correct |
33 |
Correct |
1 ms |
372 KB |
Output is correct |
34 |
Correct |
7 ms |
2004 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
328 KB |
Output is correct |
40 |
Correct |
240 ms |
27652 KB |
Output is correct |
41 |
Correct |
239 ms |
27492 KB |
Output is correct |
42 |
Correct |
253 ms |
27588 KB |
Output is correct |
43 |
Correct |
153 ms |
19824 KB |
Output is correct |
44 |
Correct |
124 ms |
19816 KB |
Output is correct |
45 |
Correct |
235 ms |
26572 KB |
Output is correct |
46 |
Correct |
238 ms |
26380 KB |
Output is correct |
47 |
Correct |
253 ms |
27044 KB |
Output is correct |
48 |
Correct |
105 ms |
19224 KB |
Output is correct |
49 |
Correct |
236 ms |
27240 KB |
Output is correct |
50 |
Correct |
261 ms |
26472 KB |
Output is correct |
51 |
Correct |
240 ms |
26588 KB |
Output is correct |