#include "bits/stdc++.h"
using namespace std;
#define ll long long
#define forn(i,n) for(int i=0;i<n;i++)
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(),v.rend()
#define pb push_back
#define sz(a) (int)a.size()
#define int long long
const int N = 2e5 + 10;
vector<pair<int, int>> adj[N];
ll ans = LLONG_MAX;
int n, m, s, t, a, b;
vector<int> order;
vector<ll> dijkstra(int a) {
order.clear();
priority_queue<pair<int,int>> q;
vector<int> dist(n, (ll)1e18);
vector<bool> vis(n, false);
dist[a] = 0;
q.push({0, a});
while(!q.empty()) {
int u = q.top().second;
q.pop();
if(vis[u]) continue;
vis[u] = true;
order.pb(u);
for(auto x: adj[u]) {
int w = x.second, v = x.first;
if(dist[v] >= dist[u] + w) {
dist[v] = dist[u] + w;
q.push({-dist[v], v});
}
}
}
return dist;
}
vector<ll> distA, distB, distS, distT;
void solve() {
cin >> n >> m >> s >> t >> a >> b; --s, --t, --a, --b;
for(int i = 0;i < m; ++i) {
int u, v, c;
cin >> u >> v >> c; --u, --v;
adj[u].pb({v, c});
adj[v].pb({u, c});
}
distA = dijkstra(a), distB = dijkstra(b);
distS = dijkstra(s), distT = dijkstra(t);
ans = distA[b];
dijkstra(s);
vector<int> dp(n, (ll)1e18);
for(int node: order) {
dp[node] = distA[node];
for(auto f : adj[node]) {
int v = f.first, w = f.second;
if(distS[v] + w == distS[node] && distS[v] + w + distT[node] == distS[t]) {
dp[node] = min(dp[node], dp[v]);
}
ans = min(ans, dp[node] + distB[node]);
}
}
dp.assign(n, (ll)1e18);
for(int node: order) {
dp[node] = distB[node];
for(auto f: adj[node]) {
int v = f.first, w = f.second;
if(distS[v] + w == distS[node] && distS[v] + w + distT[node] == distS[t]) {
dp[node] = min(dp[node], dp[v]);
}
ans = min(ans, dp[node] + distA[node]);
}
}
cout << ans << "\n";
}
int32_t main() {
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
int t = 1;
//cin >> t;
while(t--) {
solve();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
378 ms |
23688 KB |
Output is correct |
2 |
Correct |
358 ms |
22360 KB |
Output is correct |
3 |
Correct |
336 ms |
22588 KB |
Output is correct |
4 |
Correct |
383 ms |
23808 KB |
Output is correct |
5 |
Correct |
405 ms |
22184 KB |
Output is correct |
6 |
Correct |
380 ms |
23872 KB |
Output is correct |
7 |
Correct |
346 ms |
22180 KB |
Output is correct |
8 |
Correct |
438 ms |
22272 KB |
Output is correct |
9 |
Correct |
367 ms |
22112 KB |
Output is correct |
10 |
Correct |
319 ms |
22004 KB |
Output is correct |
11 |
Correct |
149 ms |
15292 KB |
Output is correct |
12 |
Correct |
373 ms |
22164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
413 ms |
22424 KB |
Output is correct |
2 |
Correct |
380 ms |
22296 KB |
Output is correct |
3 |
Correct |
392 ms |
22292 KB |
Output is correct |
4 |
Correct |
366 ms |
22144 KB |
Output is correct |
5 |
Correct |
405 ms |
22088 KB |
Output is correct |
6 |
Correct |
389 ms |
21936 KB |
Output is correct |
7 |
Correct |
369 ms |
21992 KB |
Output is correct |
8 |
Correct |
428 ms |
22080 KB |
Output is correct |
9 |
Correct |
352 ms |
22168 KB |
Output is correct |
10 |
Correct |
397 ms |
22096 KB |
Output is correct |
11 |
Correct |
156 ms |
15224 KB |
Output is correct |
12 |
Correct |
351 ms |
21844 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
17 ms |
6732 KB |
Output is correct |
2 |
Correct |
4 ms |
5000 KB |
Output is correct |
3 |
Correct |
4 ms |
5060 KB |
Output is correct |
4 |
Correct |
35 ms |
8448 KB |
Output is correct |
5 |
Correct |
13 ms |
6552 KB |
Output is correct |
6 |
Correct |
4 ms |
5068 KB |
Output is correct |
7 |
Correct |
4 ms |
5148 KB |
Output is correct |
8 |
Correct |
5 ms |
5196 KB |
Output is correct |
9 |
Correct |
4 ms |
5068 KB |
Output is correct |
10 |
Correct |
12 ms |
6948 KB |
Output is correct |
11 |
Correct |
3 ms |
5020 KB |
Output is correct |
12 |
Correct |
3 ms |
4940 KB |
Output is correct |
13 |
Correct |
3 ms |
5020 KB |
Output is correct |
14 |
Correct |
4 ms |
5068 KB |
Output is correct |
15 |
Correct |
4 ms |
5068 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
378 ms |
23688 KB |
Output is correct |
2 |
Correct |
358 ms |
22360 KB |
Output is correct |
3 |
Correct |
336 ms |
22588 KB |
Output is correct |
4 |
Correct |
383 ms |
23808 KB |
Output is correct |
5 |
Correct |
405 ms |
22184 KB |
Output is correct |
6 |
Correct |
380 ms |
23872 KB |
Output is correct |
7 |
Correct |
346 ms |
22180 KB |
Output is correct |
8 |
Correct |
438 ms |
22272 KB |
Output is correct |
9 |
Correct |
367 ms |
22112 KB |
Output is correct |
10 |
Correct |
319 ms |
22004 KB |
Output is correct |
11 |
Correct |
149 ms |
15292 KB |
Output is correct |
12 |
Correct |
373 ms |
22164 KB |
Output is correct |
13 |
Correct |
413 ms |
22424 KB |
Output is correct |
14 |
Correct |
380 ms |
22296 KB |
Output is correct |
15 |
Correct |
392 ms |
22292 KB |
Output is correct |
16 |
Correct |
366 ms |
22144 KB |
Output is correct |
17 |
Correct |
405 ms |
22088 KB |
Output is correct |
18 |
Correct |
389 ms |
21936 KB |
Output is correct |
19 |
Correct |
369 ms |
21992 KB |
Output is correct |
20 |
Correct |
428 ms |
22080 KB |
Output is correct |
21 |
Correct |
352 ms |
22168 KB |
Output is correct |
22 |
Correct |
397 ms |
22096 KB |
Output is correct |
23 |
Correct |
156 ms |
15224 KB |
Output is correct |
24 |
Correct |
351 ms |
21844 KB |
Output is correct |
25 |
Correct |
17 ms |
6732 KB |
Output is correct |
26 |
Correct |
4 ms |
5000 KB |
Output is correct |
27 |
Correct |
4 ms |
5060 KB |
Output is correct |
28 |
Correct |
35 ms |
8448 KB |
Output is correct |
29 |
Correct |
13 ms |
6552 KB |
Output is correct |
30 |
Correct |
4 ms |
5068 KB |
Output is correct |
31 |
Correct |
4 ms |
5148 KB |
Output is correct |
32 |
Correct |
5 ms |
5196 KB |
Output is correct |
33 |
Correct |
4 ms |
5068 KB |
Output is correct |
34 |
Correct |
12 ms |
6948 KB |
Output is correct |
35 |
Correct |
3 ms |
5020 KB |
Output is correct |
36 |
Correct |
3 ms |
4940 KB |
Output is correct |
37 |
Correct |
3 ms |
5020 KB |
Output is correct |
38 |
Correct |
4 ms |
5068 KB |
Output is correct |
39 |
Correct |
4 ms |
5068 KB |
Output is correct |
40 |
Correct |
315 ms |
23160 KB |
Output is correct |
41 |
Correct |
370 ms |
22284 KB |
Output is correct |
42 |
Correct |
328 ms |
22192 KB |
Output is correct |
43 |
Correct |
138 ms |
15424 KB |
Output is correct |
44 |
Correct |
153 ms |
15444 KB |
Output is correct |
45 |
Correct |
390 ms |
22044 KB |
Output is correct |
46 |
Correct |
415 ms |
22088 KB |
Output is correct |
47 |
Correct |
400 ms |
23724 KB |
Output is correct |
48 |
Correct |
191 ms |
15372 KB |
Output is correct |
49 |
Correct |
394 ms |
23420 KB |
Output is correct |
50 |
Correct |
387 ms |
22204 KB |
Output is correct |
51 |
Correct |
392 ms |
22228 KB |
Output is correct |