#include <bits/stdc++.h>
using namespace std;
#define FOR(i, x, y) for (int i = x; i < y; i++)
#define pii pair<int, int>
#define f first
#define s second
struct Edge{ int a, b, w; };
const int mx = 1e5 + 5;
int n, m, k, q, dist[mx], par[mx], ans[mx];
vector<Edge> edg; vector<pii> adj[mx]; set<int> qrys[mx];
void dijkstra(){
priority_queue<pii, vector<pii>, greater<pii>> pq;
fill(dist, dist + n + 1, 2e9);
cin >> k;
FOR(i, 0, k){ int x; cin >> x; dist[x] = 0; pq.push({0, x}); }
while (!pq.empty()){
int cdist, cur; tie(cdist, cur) = pq.top(); pq.pop();
if (dist[cur] != cdist) continue;
for (pii nxt : adj[cur]){
int D = cdist + nxt.s;
if (D < dist[nxt.f]) dist[nxt.f] = D, pq.push({D, nxt.f});
}
}
}
int get(int i){
return i == par[i] ? i : par[i] = get(par[i]);
}
void merge(int a, int b, int w){
a = get(a); b = get(b); if (a == b) return;
if (qrys[a].size() > qrys[b].size()) swap(qrys[a], qrys[b]);
for (int x : qrys[a]){
if (qrys[b].count(x)) ans[x] = w, qrys[b].erase(x);
else qrys[b].insert(x);
}
par[a] = b;
}
int main(){
cin >> n >> m;
FOR(i, 1, m + 1){
int a, b, w; cin >> a >> b >> w;
adj[a].push_back({b, w}); adj[b].push_back({a, w});
edg.push_back({a, b, w});
}
dijkstra();
cin >> q;
FOR(i, 1, q + 1){
int a, b; cin >> a >> b;
qrys[a].insert(i); qrys[b].insert(i);
}
for (Edge &E : edg) E.w = min(dist[E.a], dist[E.b]);
sort(edg.begin(), edg.end(), [](Edge a, Edge b){ return a.w > b.w; });
FOR(i, 1, n + 1) par[i] = i;
for (Edge E : edg) merge(E.a, E.b, E.w);
FOR(i, 1, q + 1) cout<<ans[i]<<endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
7244 KB |
Output is correct |
2 |
Correct |
7 ms |
7500 KB |
Output is correct |
3 |
Correct |
6 ms |
7500 KB |
Output is correct |
4 |
Correct |
4 ms |
7244 KB |
Output is correct |
5 |
Correct |
7 ms |
7420 KB |
Output is correct |
6 |
Correct |
6 ms |
7500 KB |
Output is correct |
7 |
Correct |
4 ms |
7340 KB |
Output is correct |
8 |
Correct |
5 ms |
7372 KB |
Output is correct |
9 |
Correct |
6 ms |
7500 KB |
Output is correct |
10 |
Correct |
7 ms |
7500 KB |
Output is correct |
11 |
Correct |
6 ms |
7500 KB |
Output is correct |
12 |
Correct |
6 ms |
7500 KB |
Output is correct |
13 |
Correct |
6 ms |
7500 KB |
Output is correct |
14 |
Correct |
6 ms |
7500 KB |
Output is correct |
15 |
Correct |
6 ms |
7500 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
7244 KB |
Output is correct |
2 |
Correct |
7 ms |
7500 KB |
Output is correct |
3 |
Correct |
6 ms |
7500 KB |
Output is correct |
4 |
Correct |
4 ms |
7244 KB |
Output is correct |
5 |
Correct |
7 ms |
7420 KB |
Output is correct |
6 |
Correct |
6 ms |
7500 KB |
Output is correct |
7 |
Correct |
4 ms |
7340 KB |
Output is correct |
8 |
Correct |
5 ms |
7372 KB |
Output is correct |
9 |
Correct |
6 ms |
7500 KB |
Output is correct |
10 |
Correct |
7 ms |
7500 KB |
Output is correct |
11 |
Correct |
6 ms |
7500 KB |
Output is correct |
12 |
Correct |
6 ms |
7500 KB |
Output is correct |
13 |
Correct |
6 ms |
7500 KB |
Output is correct |
14 |
Correct |
6 ms |
7500 KB |
Output is correct |
15 |
Correct |
6 ms |
7500 KB |
Output is correct |
16 |
Correct |
391 ms |
23996 KB |
Output is correct |
17 |
Correct |
902 ms |
40152 KB |
Output is correct |
18 |
Correct |
66 ms |
10772 KB |
Output is correct |
19 |
Correct |
374 ms |
23808 KB |
Output is correct |
20 |
Correct |
920 ms |
40272 KB |
Output is correct |
21 |
Correct |
555 ms |
30468 KB |
Output is correct |
22 |
Correct |
317 ms |
23524 KB |
Output is correct |
23 |
Correct |
894 ms |
40240 KB |
Output is correct |
24 |
Correct |
911 ms |
40168 KB |
Output is correct |
25 |
Correct |
957 ms |
40204 KB |
Output is correct |
26 |
Correct |
378 ms |
23728 KB |
Output is correct |
27 |
Correct |
382 ms |
23764 KB |
Output is correct |
28 |
Correct |
379 ms |
23652 KB |
Output is correct |
29 |
Correct |
386 ms |
23792 KB |
Output is correct |
30 |
Correct |
388 ms |
23888 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
7244 KB |
Output is correct |
2 |
Correct |
4 ms |
7280 KB |
Output is correct |
3 |
Correct |
4 ms |
7244 KB |
Output is correct |
4 |
Correct |
4 ms |
7372 KB |
Output is correct |
5 |
Correct |
4 ms |
7372 KB |
Output is correct |
6 |
Correct |
4 ms |
7372 KB |
Output is correct |
7 |
Correct |
4 ms |
7372 KB |
Output is correct |
8 |
Correct |
4 ms |
7244 KB |
Output is correct |
9 |
Correct |
4 ms |
7372 KB |
Output is correct |
10 |
Correct |
6 ms |
7372 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
240 ms |
18344 KB |
Output is correct |
2 |
Correct |
562 ms |
30452 KB |
Output is correct |
3 |
Correct |
553 ms |
30568 KB |
Output is correct |
4 |
Correct |
101 ms |
12916 KB |
Output is correct |
5 |
Correct |
569 ms |
30560 KB |
Output is correct |
6 |
Correct |
578 ms |
30564 KB |
Output is correct |
7 |
Correct |
553 ms |
30552 KB |
Output is correct |
8 |
Correct |
557 ms |
30548 KB |
Output is correct |
9 |
Correct |
555 ms |
30540 KB |
Output is correct |
10 |
Correct |
551 ms |
30508 KB |
Output is correct |
11 |
Correct |
571 ms |
30568 KB |
Output is correct |
12 |
Correct |
680 ms |
30396 KB |
Output is correct |
13 |
Correct |
561 ms |
30424 KB |
Output is correct |
14 |
Correct |
553 ms |
30420 KB |
Output is correct |
15 |
Correct |
584 ms |
31524 KB |
Output is correct |
16 |
Correct |
570 ms |
30384 KB |
Output is correct |
17 |
Correct |
566 ms |
30352 KB |
Output is correct |
18 |
Correct |
568 ms |
30468 KB |
Output is correct |
19 |
Correct |
110 ms |
12788 KB |
Output is correct |
20 |
Correct |
578 ms |
30308 KB |
Output is correct |
21 |
Correct |
551 ms |
30060 KB |
Output is correct |
22 |
Correct |
116 ms |
14960 KB |
Output is correct |
23 |
Correct |
106 ms |
13284 KB |
Output is correct |
24 |
Correct |
110 ms |
14956 KB |
Output is correct |
25 |
Correct |
110 ms |
14952 KB |
Output is correct |
26 |
Correct |
116 ms |
13416 KB |
Output is correct |
27 |
Correct |
104 ms |
12784 KB |
Output is correct |
28 |
Correct |
113 ms |
14952 KB |
Output is correct |
29 |
Correct |
103 ms |
12752 KB |
Output is correct |
30 |
Correct |
111 ms |
14948 KB |
Output is correct |
31 |
Correct |
109 ms |
12796 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
7244 KB |
Output is correct |
2 |
Correct |
7 ms |
7500 KB |
Output is correct |
3 |
Correct |
6 ms |
7500 KB |
Output is correct |
4 |
Correct |
4 ms |
7244 KB |
Output is correct |
5 |
Correct |
7 ms |
7420 KB |
Output is correct |
6 |
Correct |
6 ms |
7500 KB |
Output is correct |
7 |
Correct |
4 ms |
7340 KB |
Output is correct |
8 |
Correct |
5 ms |
7372 KB |
Output is correct |
9 |
Correct |
6 ms |
7500 KB |
Output is correct |
10 |
Correct |
7 ms |
7500 KB |
Output is correct |
11 |
Correct |
6 ms |
7500 KB |
Output is correct |
12 |
Correct |
6 ms |
7500 KB |
Output is correct |
13 |
Correct |
6 ms |
7500 KB |
Output is correct |
14 |
Correct |
6 ms |
7500 KB |
Output is correct |
15 |
Correct |
6 ms |
7500 KB |
Output is correct |
16 |
Correct |
391 ms |
23996 KB |
Output is correct |
17 |
Correct |
902 ms |
40152 KB |
Output is correct |
18 |
Correct |
66 ms |
10772 KB |
Output is correct |
19 |
Correct |
374 ms |
23808 KB |
Output is correct |
20 |
Correct |
920 ms |
40272 KB |
Output is correct |
21 |
Correct |
555 ms |
30468 KB |
Output is correct |
22 |
Correct |
317 ms |
23524 KB |
Output is correct |
23 |
Correct |
894 ms |
40240 KB |
Output is correct |
24 |
Correct |
911 ms |
40168 KB |
Output is correct |
25 |
Correct |
957 ms |
40204 KB |
Output is correct |
26 |
Correct |
378 ms |
23728 KB |
Output is correct |
27 |
Correct |
382 ms |
23764 KB |
Output is correct |
28 |
Correct |
379 ms |
23652 KB |
Output is correct |
29 |
Correct |
386 ms |
23792 KB |
Output is correct |
30 |
Correct |
388 ms |
23888 KB |
Output is correct |
31 |
Correct |
4 ms |
7244 KB |
Output is correct |
32 |
Correct |
4 ms |
7280 KB |
Output is correct |
33 |
Correct |
4 ms |
7244 KB |
Output is correct |
34 |
Correct |
4 ms |
7372 KB |
Output is correct |
35 |
Correct |
4 ms |
7372 KB |
Output is correct |
36 |
Correct |
4 ms |
7372 KB |
Output is correct |
37 |
Correct |
4 ms |
7372 KB |
Output is correct |
38 |
Correct |
4 ms |
7244 KB |
Output is correct |
39 |
Correct |
4 ms |
7372 KB |
Output is correct |
40 |
Correct |
6 ms |
7372 KB |
Output is correct |
41 |
Correct |
240 ms |
18344 KB |
Output is correct |
42 |
Correct |
562 ms |
30452 KB |
Output is correct |
43 |
Correct |
553 ms |
30568 KB |
Output is correct |
44 |
Correct |
101 ms |
12916 KB |
Output is correct |
45 |
Correct |
569 ms |
30560 KB |
Output is correct |
46 |
Correct |
578 ms |
30564 KB |
Output is correct |
47 |
Correct |
553 ms |
30552 KB |
Output is correct |
48 |
Correct |
557 ms |
30548 KB |
Output is correct |
49 |
Correct |
555 ms |
30540 KB |
Output is correct |
50 |
Correct |
551 ms |
30508 KB |
Output is correct |
51 |
Correct |
571 ms |
30568 KB |
Output is correct |
52 |
Correct |
680 ms |
30396 KB |
Output is correct |
53 |
Correct |
561 ms |
30424 KB |
Output is correct |
54 |
Correct |
553 ms |
30420 KB |
Output is correct |
55 |
Correct |
584 ms |
31524 KB |
Output is correct |
56 |
Correct |
570 ms |
30384 KB |
Output is correct |
57 |
Correct |
566 ms |
30352 KB |
Output is correct |
58 |
Correct |
568 ms |
30468 KB |
Output is correct |
59 |
Correct |
110 ms |
12788 KB |
Output is correct |
60 |
Correct |
578 ms |
30308 KB |
Output is correct |
61 |
Correct |
551 ms |
30060 KB |
Output is correct |
62 |
Correct |
116 ms |
14960 KB |
Output is correct |
63 |
Correct |
106 ms |
13284 KB |
Output is correct |
64 |
Correct |
110 ms |
14956 KB |
Output is correct |
65 |
Correct |
110 ms |
14952 KB |
Output is correct |
66 |
Correct |
116 ms |
13416 KB |
Output is correct |
67 |
Correct |
104 ms |
12784 KB |
Output is correct |
68 |
Correct |
113 ms |
14952 KB |
Output is correct |
69 |
Correct |
103 ms |
12752 KB |
Output is correct |
70 |
Correct |
111 ms |
14948 KB |
Output is correct |
71 |
Correct |
109 ms |
12796 KB |
Output is correct |
72 |
Correct |
570 ms |
32816 KB |
Output is correct |
73 |
Correct |
925 ms |
41108 KB |
Output is correct |
74 |
Correct |
894 ms |
41048 KB |
Output is correct |
75 |
Correct |
889 ms |
40824 KB |
Output is correct |
76 |
Correct |
892 ms |
40700 KB |
Output is correct |
77 |
Correct |
941 ms |
40836 KB |
Output is correct |
78 |
Correct |
904 ms |
40852 KB |
Output is correct |
79 |
Correct |
889 ms |
40868 KB |
Output is correct |
80 |
Correct |
890 ms |
40804 KB |
Output is correct |
81 |
Correct |
914 ms |
40924 KB |
Output is correct |
82 |
Correct |
909 ms |
40888 KB |
Output is correct |
83 |
Correct |
897 ms |
40864 KB |
Output is correct |
84 |
Correct |
940 ms |
40688 KB |
Output is correct |
85 |
Correct |
907 ms |
40780 KB |
Output is correct |
86 |
Correct |
896 ms |
40716 KB |
Output is correct |
87 |
Correct |
906 ms |
40792 KB |
Output is correct |
88 |
Correct |
902 ms |
40752 KB |
Output is correct |
89 |
Correct |
399 ms |
25572 KB |
Output is correct |
90 |
Correct |
901 ms |
40680 KB |
Output is correct |
91 |
Correct |
910 ms |
42344 KB |
Output is correct |
92 |
Correct |
413 ms |
25852 KB |
Output is correct |
93 |
Correct |
514 ms |
51824 KB |
Output is correct |
94 |
Correct |
425 ms |
25680 KB |
Output is correct |
95 |
Correct |
406 ms |
25680 KB |
Output is correct |
96 |
Correct |
539 ms |
54816 KB |
Output is correct |
97 |
Correct |
424 ms |
27516 KB |
Output is correct |
98 |
Correct |
426 ms |
25704 KB |
Output is correct |
99 |
Correct |
429 ms |
27512 KB |
Output is correct |
100 |
Correct |
434 ms |
25788 KB |
Output is correct |