#include<bits/stdc++.h>
using namespace std;
#define ii pair<int , int>
const int N = 1e5 + 5;
int n , m , k , q;
vector<pair<int , int>> edge[N];
int dist[N] , level[N] , parent[N];
priority_queue<ii , vector<ii> , greater<ii>> pq;
set<int> S[N];
vector<ii> tmp;
int ans[N];
void dijkstra()
{
while(!pq.empty())
{
int u = pq.top().second;
int dist_u = pq.top().first;
pq.pop();
if (dist_u != dist[u]) continue;
for (auto adj : edge[u])
{
int v = adj.first;
int w = adj.second;
if (dist[v] > dist[u] + w)
{
dist[v] = dist[u] + w;
pq.push({dist[v] , v});
}
}
}
}
int find_set(int u)
{
return (u == parent[u] ? u : parent[u] = find_set(parent[u]));
}
void union_set(int u , int v , int w)
{
u = find_set(u);
v = find_set(v);
if (u == v) return;
if (level[u] < level[v]) swap(u , v);
parent[v] = u;
if (level[u] == level[v]) ++level[u];
if ((int) S[u].size() < (int) S[v].size()) swap(S[u] , S[v]);
for (int x : S[v])
{
if (S[u].find(x) != S[u].end())
{
ans[x] = w;
S[u].erase(x);
}
else
{
S[u].insert(x);
}
}
}
int main()
{
// freopen(".inp","r",stdin);
// freopen(".out","w",stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n >> m;
for (int i = 1 ; i <= m ; ++i)
{
int u , v , w;
cin >> u >> v >> w;
edge[u].push_back({v , w});
edge[v].push_back({u , w});
}
for (int i = 1 ; i <= n ; ++i) dist[i] = 2e9 , parent[i] = i , level[i] = 0;
cin >> k;
for (int i = 1 ; i <= k ; ++i)
{
int u;
cin >> u;
pq.push({dist[u] = 0 , u});
}
dijkstra();
cin >> q;
for (int i = 1 ; i <= q ; ++i)
{
int u , v;
cin >> u >> v;
S[u].insert(i);
S[v].insert(i);
}
// for (int i = 1 ; i <= n ; ++i) cout << dist[i] << " ";
// cout << "\n";
for (int i = 1 ; i <= n ; ++i) tmp.push_back({dist[i] , i});
sort(tmp.begin() , tmp.end() , greater<ii> ());
for (auto x : tmp)
{
int w = x.first , u = x.second;
for (auto adj : edge[u])
{
int v = adj.first;
if (dist[v] >= w) union_set(u , v , w);
}
}
for (int i = 1 ; i <= q ; ++i) cout << ans[i] << "\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
7372 KB |
Output is correct |
2 |
Correct |
5 ms |
7500 KB |
Output is correct |
3 |
Correct |
5 ms |
7500 KB |
Output is correct |
4 |
Correct |
3 ms |
7372 KB |
Output is correct |
5 |
Correct |
4 ms |
7500 KB |
Output is correct |
6 |
Correct |
4 ms |
7500 KB |
Output is correct |
7 |
Correct |
4 ms |
7372 KB |
Output is correct |
8 |
Correct |
4 ms |
7372 KB |
Output is correct |
9 |
Correct |
4 ms |
7500 KB |
Output is correct |
10 |
Correct |
4 ms |
7500 KB |
Output is correct |
11 |
Correct |
4 ms |
7500 KB |
Output is correct |
12 |
Correct |
5 ms |
7500 KB |
Output is correct |
13 |
Correct |
5 ms |
7500 KB |
Output is correct |
14 |
Correct |
5 ms |
7516 KB |
Output is correct |
15 |
Correct |
4 ms |
7500 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
7372 KB |
Output is correct |
2 |
Correct |
5 ms |
7500 KB |
Output is correct |
3 |
Correct |
5 ms |
7500 KB |
Output is correct |
4 |
Correct |
3 ms |
7372 KB |
Output is correct |
5 |
Correct |
4 ms |
7500 KB |
Output is correct |
6 |
Correct |
4 ms |
7500 KB |
Output is correct |
7 |
Correct |
4 ms |
7372 KB |
Output is correct |
8 |
Correct |
4 ms |
7372 KB |
Output is correct |
9 |
Correct |
4 ms |
7500 KB |
Output is correct |
10 |
Correct |
4 ms |
7500 KB |
Output is correct |
11 |
Correct |
4 ms |
7500 KB |
Output is correct |
12 |
Correct |
5 ms |
7500 KB |
Output is correct |
13 |
Correct |
5 ms |
7500 KB |
Output is correct |
14 |
Correct |
5 ms |
7516 KB |
Output is correct |
15 |
Correct |
4 ms |
7500 KB |
Output is correct |
16 |
Correct |
214 ms |
23336 KB |
Output is correct |
17 |
Correct |
503 ms |
36032 KB |
Output is correct |
18 |
Correct |
37 ms |
10180 KB |
Output is correct |
19 |
Correct |
195 ms |
24312 KB |
Output is correct |
20 |
Correct |
489 ms |
36164 KB |
Output is correct |
21 |
Correct |
300 ms |
29500 KB |
Output is correct |
22 |
Correct |
133 ms |
23128 KB |
Output is correct |
23 |
Correct |
496 ms |
36032 KB |
Output is correct |
24 |
Correct |
501 ms |
35976 KB |
Output is correct |
25 |
Correct |
533 ms |
36132 KB |
Output is correct |
26 |
Correct |
207 ms |
24132 KB |
Output is correct |
27 |
Correct |
195 ms |
24196 KB |
Output is correct |
28 |
Correct |
191 ms |
24132 KB |
Output is correct |
29 |
Correct |
204 ms |
24140 KB |
Output is correct |
30 |
Correct |
187 ms |
24324 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
7372 KB |
Output is correct |
2 |
Correct |
4 ms |
7372 KB |
Output is correct |
3 |
Correct |
4 ms |
7372 KB |
Output is correct |
4 |
Correct |
3 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 |
7300 KB |
Output is correct |
8 |
Correct |
4 ms |
7372 KB |
Output is correct |
9 |
Correct |
4 ms |
7372 KB |
Output is correct |
10 |
Correct |
3 ms |
7372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
143 ms |
16560 KB |
Output is correct |
2 |
Correct |
324 ms |
25048 KB |
Output is correct |
3 |
Correct |
304 ms |
25140 KB |
Output is correct |
4 |
Correct |
57 ms |
12732 KB |
Output is correct |
5 |
Correct |
316 ms |
25092 KB |
Output is correct |
6 |
Correct |
314 ms |
25016 KB |
Output is correct |
7 |
Correct |
310 ms |
25016 KB |
Output is correct |
8 |
Correct |
309 ms |
25012 KB |
Output is correct |
9 |
Correct |
309 ms |
24952 KB |
Output is correct |
10 |
Correct |
312 ms |
25088 KB |
Output is correct |
11 |
Correct |
319 ms |
25040 KB |
Output is correct |
12 |
Correct |
310 ms |
25036 KB |
Output is correct |
13 |
Correct |
307 ms |
25040 KB |
Output is correct |
14 |
Correct |
298 ms |
25028 KB |
Output is correct |
15 |
Correct |
340 ms |
25352 KB |
Output is correct |
16 |
Correct |
314 ms |
25020 KB |
Output is correct |
17 |
Correct |
317 ms |
25132 KB |
Output is correct |
18 |
Correct |
310 ms |
25104 KB |
Output is correct |
19 |
Correct |
58 ms |
12716 KB |
Output is correct |
20 |
Correct |
306 ms |
25064 KB |
Output is correct |
21 |
Correct |
282 ms |
24764 KB |
Output is correct |
22 |
Correct |
69 ms |
14672 KB |
Output is correct |
23 |
Correct |
65 ms |
13244 KB |
Output is correct |
24 |
Correct |
78 ms |
14652 KB |
Output is correct |
25 |
Correct |
69 ms |
14724 KB |
Output is correct |
26 |
Correct |
74 ms |
13372 KB |
Output is correct |
27 |
Correct |
57 ms |
12764 KB |
Output is correct |
28 |
Correct |
68 ms |
14748 KB |
Output is correct |
29 |
Correct |
57 ms |
12744 KB |
Output is correct |
30 |
Correct |
72 ms |
14668 KB |
Output is correct |
31 |
Correct |
63 ms |
12752 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
7372 KB |
Output is correct |
2 |
Correct |
5 ms |
7500 KB |
Output is correct |
3 |
Correct |
5 ms |
7500 KB |
Output is correct |
4 |
Correct |
3 ms |
7372 KB |
Output is correct |
5 |
Correct |
4 ms |
7500 KB |
Output is correct |
6 |
Correct |
4 ms |
7500 KB |
Output is correct |
7 |
Correct |
4 ms |
7372 KB |
Output is correct |
8 |
Correct |
4 ms |
7372 KB |
Output is correct |
9 |
Correct |
4 ms |
7500 KB |
Output is correct |
10 |
Correct |
4 ms |
7500 KB |
Output is correct |
11 |
Correct |
4 ms |
7500 KB |
Output is correct |
12 |
Correct |
5 ms |
7500 KB |
Output is correct |
13 |
Correct |
5 ms |
7500 KB |
Output is correct |
14 |
Correct |
5 ms |
7516 KB |
Output is correct |
15 |
Correct |
4 ms |
7500 KB |
Output is correct |
16 |
Correct |
214 ms |
23336 KB |
Output is correct |
17 |
Correct |
503 ms |
36032 KB |
Output is correct |
18 |
Correct |
37 ms |
10180 KB |
Output is correct |
19 |
Correct |
195 ms |
24312 KB |
Output is correct |
20 |
Correct |
489 ms |
36164 KB |
Output is correct |
21 |
Correct |
300 ms |
29500 KB |
Output is correct |
22 |
Correct |
133 ms |
23128 KB |
Output is correct |
23 |
Correct |
496 ms |
36032 KB |
Output is correct |
24 |
Correct |
501 ms |
35976 KB |
Output is correct |
25 |
Correct |
533 ms |
36132 KB |
Output is correct |
26 |
Correct |
207 ms |
24132 KB |
Output is correct |
27 |
Correct |
195 ms |
24196 KB |
Output is correct |
28 |
Correct |
191 ms |
24132 KB |
Output is correct |
29 |
Correct |
204 ms |
24140 KB |
Output is correct |
30 |
Correct |
187 ms |
24324 KB |
Output is correct |
31 |
Correct |
4 ms |
7372 KB |
Output is correct |
32 |
Correct |
4 ms |
7372 KB |
Output is correct |
33 |
Correct |
4 ms |
7372 KB |
Output is correct |
34 |
Correct |
3 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 |
7300 KB |
Output is correct |
38 |
Correct |
4 ms |
7372 KB |
Output is correct |
39 |
Correct |
4 ms |
7372 KB |
Output is correct |
40 |
Correct |
3 ms |
7372 KB |
Output is correct |
41 |
Correct |
143 ms |
16560 KB |
Output is correct |
42 |
Correct |
324 ms |
25048 KB |
Output is correct |
43 |
Correct |
304 ms |
25140 KB |
Output is correct |
44 |
Correct |
57 ms |
12732 KB |
Output is correct |
45 |
Correct |
316 ms |
25092 KB |
Output is correct |
46 |
Correct |
314 ms |
25016 KB |
Output is correct |
47 |
Correct |
310 ms |
25016 KB |
Output is correct |
48 |
Correct |
309 ms |
25012 KB |
Output is correct |
49 |
Correct |
309 ms |
24952 KB |
Output is correct |
50 |
Correct |
312 ms |
25088 KB |
Output is correct |
51 |
Correct |
319 ms |
25040 KB |
Output is correct |
52 |
Correct |
310 ms |
25036 KB |
Output is correct |
53 |
Correct |
307 ms |
25040 KB |
Output is correct |
54 |
Correct |
298 ms |
25028 KB |
Output is correct |
55 |
Correct |
340 ms |
25352 KB |
Output is correct |
56 |
Correct |
314 ms |
25020 KB |
Output is correct |
57 |
Correct |
317 ms |
25132 KB |
Output is correct |
58 |
Correct |
310 ms |
25104 KB |
Output is correct |
59 |
Correct |
58 ms |
12716 KB |
Output is correct |
60 |
Correct |
306 ms |
25064 KB |
Output is correct |
61 |
Correct |
282 ms |
24764 KB |
Output is correct |
62 |
Correct |
69 ms |
14672 KB |
Output is correct |
63 |
Correct |
65 ms |
13244 KB |
Output is correct |
64 |
Correct |
78 ms |
14652 KB |
Output is correct |
65 |
Correct |
69 ms |
14724 KB |
Output is correct |
66 |
Correct |
74 ms |
13372 KB |
Output is correct |
67 |
Correct |
57 ms |
12764 KB |
Output is correct |
68 |
Correct |
68 ms |
14748 KB |
Output is correct |
69 |
Correct |
57 ms |
12744 KB |
Output is correct |
70 |
Correct |
72 ms |
14668 KB |
Output is correct |
71 |
Correct |
63 ms |
12752 KB |
Output is correct |
72 |
Correct |
328 ms |
31700 KB |
Output is correct |
73 |
Correct |
528 ms |
37064 KB |
Output is correct |
74 |
Correct |
503 ms |
36924 KB |
Output is correct |
75 |
Correct |
564 ms |
36796 KB |
Output is correct |
76 |
Correct |
514 ms |
36876 KB |
Output is correct |
77 |
Correct |
517 ms |
36876 KB |
Output is correct |
78 |
Correct |
530 ms |
37044 KB |
Output is correct |
79 |
Correct |
544 ms |
36868 KB |
Output is correct |
80 |
Correct |
515 ms |
36924 KB |
Output is correct |
81 |
Correct |
542 ms |
36812 KB |
Output is correct |
82 |
Correct |
527 ms |
37044 KB |
Output is correct |
83 |
Correct |
503 ms |
36840 KB |
Output is correct |
84 |
Correct |
518 ms |
36780 KB |
Output is correct |
85 |
Correct |
534 ms |
36916 KB |
Output is correct |
86 |
Correct |
515 ms |
36748 KB |
Output is correct |
87 |
Correct |
537 ms |
36856 KB |
Output is correct |
88 |
Correct |
510 ms |
36796 KB |
Output is correct |
89 |
Correct |
223 ms |
25396 KB |
Output is correct |
90 |
Correct |
522 ms |
36956 KB |
Output is correct |
91 |
Correct |
497 ms |
36964 KB |
Output is correct |
92 |
Correct |
246 ms |
26508 KB |
Output is correct |
93 |
Correct |
315 ms |
49404 KB |
Output is correct |
94 |
Correct |
231 ms |
26300 KB |
Output is correct |
95 |
Correct |
247 ms |
26428 KB |
Output is correct |
96 |
Correct |
360 ms |
53044 KB |
Output is correct |
97 |
Correct |
254 ms |
27416 KB |
Output is correct |
98 |
Correct |
234 ms |
26236 KB |
Output is correct |
99 |
Correct |
251 ms |
27468 KB |
Output is correct |
100 |
Correct |
263 ms |
26624 KB |
Output is correct |