#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
#define endl '\n'
#define fi first
#define se second
#define For(i, l, r) for (int i = l; i < r; i++)
#define ForE(i, l, r) for (int i = l; i <= r; i++)
#define FordE(i, l, r) for (int i = l; i >= r; i--)
#define Fora(v, a) for (auto v: a)
#define bend(a) a.begin(), a.end()
#define isz(a) ((signed)a.size())
typedef long long ll;
typedef long double ld;
typedef pair <int, int> pii;
typedef vector <int> vi;
typedef vector <pii> vpii;
typedef vector <vi> vvi;
template <class T>
using min_heap = priority_queue <T, vector <T>, greater <T>>;
const int N = 1e5 + 5;
const ll infll = (ll)1e18 + 7;
int n, m;
int s1, t1, s2, t2;
vpii adj[N];
ll dist[4][N];
ll D;
void bfs(int s, ll* dist){
fill(dist + 1, dist + n + 1, infll);
min_heap <pair <ll, int>> pq;
dist[s] = 0; pq.emplace(0, s);
while (!pq.empty()){
ll d; int u; tie(d, u) = pq.top(); pq.pop();
if (d != dist[u]){
continue;
}
Fora(&edge, adj[u]){
int v, w; tie(v, w) = edge;
if (dist[v] > d + w){
dist[v] = d + w;
pq.emplace(dist[v], v);
}
}
}
}
bool check_edge(int u, int v, int w){
return dist[0][u] + w + dist[1][v] == D or dist[0][v] + w + dist[1][u] == D;
}
int a[N];
ll ans = infll;
ll dp[N];
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
// freopen("KEK.inp", "r", stdin);
// freopen("KEK.out", "w", stdout);
cin >> n >> m;
cin >> s1 >> t1 >> s2 >> t2;
ForE(i, 1, m){
int u, v, w; cin >> u >> v >> w;
adj[u].emplace_back(v, w);
adj[v].emplace_back(u, w);
}
bfs(s1, dist[0]);
bfs(t1, dist[1]);
bfs(s2, dist[2]);
bfs(t2, dist[3]);
D = dist[0][t1];
iota(a + 1, a + n + 1, 1);
sort(a + 1, a + n + 1, [&](int u, int v){
return dist[0][u] < dist[0][v];
});
fill(dp + 1, dp + n + 1, infll);
ForE(i, 1, n){
int u = a[i];
Fora(&edge, adj[u]){
int v, w; tie(v, w) = edge;
if (check_edge(u, v, w)){
dp[u] = min(dp[u], dp[v]);
}
}
dp[u] = min(dp[u], dist[2][u]);
ans = min(ans, dp[u] + dist[3][u]);
}
fill(dp + 1, dp + n + 1, infll);
ForE(i, 1, n){
int u = a[i];
Fora(&edge, adj[u]){
int v, w; tie(v, w) = edge;
if (check_edge(u, v, w)){
dp[u] = min(dp[u], dp[v]);
}
}
dp[u] = min(dp[u], dist[3][u]);
ans = min(ans, dp[u] + dist[2][u]);
}
cout << ans << endl;
}
/*
==================================================+
INPUT: |
--------------------------------------------------|
--------------------------------------------------|
==================================================+
OUTPUT: |
--------------------------------------------------|
--------------------------------------------------|
==================================================+
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
325 ms |
15520 KB |
Output is correct |
2 |
Correct |
284 ms |
14164 KB |
Output is correct |
3 |
Correct |
271 ms |
15076 KB |
Output is correct |
4 |
Correct |
279 ms |
15384 KB |
Output is correct |
5 |
Correct |
268 ms |
14088 KB |
Output is correct |
6 |
Correct |
282 ms |
15484 KB |
Output is correct |
7 |
Correct |
294 ms |
14020 KB |
Output is correct |
8 |
Correct |
246 ms |
14108 KB |
Output is correct |
9 |
Correct |
276 ms |
14024 KB |
Output is correct |
10 |
Correct |
202 ms |
14008 KB |
Output is correct |
11 |
Correct |
100 ms |
10312 KB |
Output is correct |
12 |
Correct |
280 ms |
14200 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
270 ms |
14288 KB |
Output is correct |
2 |
Correct |
277 ms |
14224 KB |
Output is correct |
3 |
Correct |
275 ms |
14224 KB |
Output is correct |
4 |
Correct |
259 ms |
14188 KB |
Output is correct |
5 |
Correct |
312 ms |
14328 KB |
Output is correct |
6 |
Correct |
244 ms |
13996 KB |
Output is correct |
7 |
Correct |
309 ms |
14128 KB |
Output is correct |
8 |
Correct |
303 ms |
14416 KB |
Output is correct |
9 |
Correct |
285 ms |
14132 KB |
Output is correct |
10 |
Correct |
315 ms |
14192 KB |
Output is correct |
11 |
Correct |
114 ms |
10272 KB |
Output is correct |
12 |
Correct |
315 ms |
14044 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
3668 KB |
Output is correct |
2 |
Correct |
2 ms |
2684 KB |
Output is correct |
3 |
Correct |
2 ms |
2644 KB |
Output is correct |
4 |
Correct |
15 ms |
4324 KB |
Output is correct |
5 |
Correct |
10 ms |
3612 KB |
Output is correct |
6 |
Correct |
2 ms |
2772 KB |
Output is correct |
7 |
Correct |
3 ms |
2772 KB |
Output is correct |
8 |
Correct |
4 ms |
2900 KB |
Output is correct |
9 |
Correct |
2 ms |
2772 KB |
Output is correct |
10 |
Correct |
11 ms |
3668 KB |
Output is correct |
11 |
Correct |
2 ms |
2644 KB |
Output is correct |
12 |
Correct |
2 ms |
2708 KB |
Output is correct |
13 |
Correct |
2 ms |
2644 KB |
Output is correct |
14 |
Correct |
2 ms |
2644 KB |
Output is correct |
15 |
Correct |
2 ms |
2688 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
325 ms |
15520 KB |
Output is correct |
2 |
Correct |
284 ms |
14164 KB |
Output is correct |
3 |
Correct |
271 ms |
15076 KB |
Output is correct |
4 |
Correct |
279 ms |
15384 KB |
Output is correct |
5 |
Correct |
268 ms |
14088 KB |
Output is correct |
6 |
Correct |
282 ms |
15484 KB |
Output is correct |
7 |
Correct |
294 ms |
14020 KB |
Output is correct |
8 |
Correct |
246 ms |
14108 KB |
Output is correct |
9 |
Correct |
276 ms |
14024 KB |
Output is correct |
10 |
Correct |
202 ms |
14008 KB |
Output is correct |
11 |
Correct |
100 ms |
10312 KB |
Output is correct |
12 |
Correct |
280 ms |
14200 KB |
Output is correct |
13 |
Correct |
270 ms |
14288 KB |
Output is correct |
14 |
Correct |
277 ms |
14224 KB |
Output is correct |
15 |
Correct |
275 ms |
14224 KB |
Output is correct |
16 |
Correct |
259 ms |
14188 KB |
Output is correct |
17 |
Correct |
312 ms |
14328 KB |
Output is correct |
18 |
Correct |
244 ms |
13996 KB |
Output is correct |
19 |
Correct |
309 ms |
14128 KB |
Output is correct |
20 |
Correct |
303 ms |
14416 KB |
Output is correct |
21 |
Correct |
285 ms |
14132 KB |
Output is correct |
22 |
Correct |
315 ms |
14192 KB |
Output is correct |
23 |
Correct |
114 ms |
10272 KB |
Output is correct |
24 |
Correct |
315 ms |
14044 KB |
Output is correct |
25 |
Correct |
8 ms |
3668 KB |
Output is correct |
26 |
Correct |
2 ms |
2684 KB |
Output is correct |
27 |
Correct |
2 ms |
2644 KB |
Output is correct |
28 |
Correct |
15 ms |
4324 KB |
Output is correct |
29 |
Correct |
10 ms |
3612 KB |
Output is correct |
30 |
Correct |
2 ms |
2772 KB |
Output is correct |
31 |
Correct |
3 ms |
2772 KB |
Output is correct |
32 |
Correct |
4 ms |
2900 KB |
Output is correct |
33 |
Correct |
2 ms |
2772 KB |
Output is correct |
34 |
Correct |
11 ms |
3668 KB |
Output is correct |
35 |
Correct |
2 ms |
2644 KB |
Output is correct |
36 |
Correct |
2 ms |
2708 KB |
Output is correct |
37 |
Correct |
2 ms |
2644 KB |
Output is correct |
38 |
Correct |
2 ms |
2644 KB |
Output is correct |
39 |
Correct |
2 ms |
2688 KB |
Output is correct |
40 |
Correct |
269 ms |
15460 KB |
Output is correct |
41 |
Correct |
291 ms |
14108 KB |
Output is correct |
42 |
Correct |
268 ms |
14204 KB |
Output is correct |
43 |
Correct |
117 ms |
10316 KB |
Output is correct |
44 |
Correct |
116 ms |
10304 KB |
Output is correct |
45 |
Correct |
227 ms |
14332 KB |
Output is correct |
46 |
Correct |
240 ms |
13976 KB |
Output is correct |
47 |
Correct |
247 ms |
15352 KB |
Output is correct |
48 |
Correct |
129 ms |
10316 KB |
Output is correct |
49 |
Correct |
222 ms |
15492 KB |
Output is correct |
50 |
Correct |
260 ms |
13948 KB |
Output is correct |
51 |
Correct |
216 ms |
13756 KB |
Output is correct |