#include <bits/stdc++.h>
using namespace std;
#define N 100002
#define ff first
#define ss second
#define ll long long
int d[N], n, m;
vector<pair<int, int> > adj[N];
priority_queue<pair<int, int> > pq;
vector<int> dis;
vector<pair<int, int> > plist[N];
bool in[N];
int p[N];
vector<int> group[N];
int find(int v){
return v == p[v] ? v : p[v] = find(p[v]);
}
void merge(int v, int u, int dre){
v = find(v);
u = find(u);
if(v == u) return;
if(group[v].size() > group[u].size()) swap(v, u);
p[v] = u;
for(int& x : group[v]){
while(plist[x].back().ff == dre)
plist[x].pop_back();
plist[x].push_back({dre, u});
group[u].push_back(x);
}
group[v].clear();
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
memset(d, 0x3f, sizeof d);
cin>>n>>m;
for(int i = 1; i <= n; i++){
plist[i].push_back({0x3f3f3f3f, i});
p[i] = i;
group[i].push_back(i);
}
while(m--){
int v, u, w;
cin>>v>>u>>w;
adj[v].push_back({u, w});
adj[u].push_back({v, w});
}
cin>>m;
while(m--){
int v;
cin>>v;
d[v] = 0;
pq.push({0, v});
}
while(!pq.empty()){
int v = pq.top().ss;
int dd = pq.top().ff;
pq.pop();
if(dd != -d[v]) continue;
for(auto& x : adj[v]){
if(d[x.ff] > x.ss - dd){
d[x.ff] = x.ss - dd;
pq.push({-d[x.ff], x.ff});
}
}
}
for(int i = 1; i <= n; i++)
dis.push_back(i);
sort(dis.begin(), dis.end(), [](const int& lhs, const int& rhs){
return d[lhs] > d[rhs];
});
for(auto& x : dis){
in[x] = 1;
for(auto& y : adj[x])
if(in[y.ff]) merge(x, y.ff, d[x]);
}
cin>>m;
while(m--){
int v, u;
cin>>v>>u;
int i1 = plist[v].size() - 1, i2 = plist[u].size() - 1;
while(plist[v][i1].ss == plist[u][i2].ss){
i1--; i2--;
}
i1++;
i2++;
cout<<min(plist[v][i1].ff, plist[u][i2].ff)<<'\n';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
7800 KB |
Output is correct |
2 |
Correct |
9 ms |
7928 KB |
Output is correct |
3 |
Correct |
9 ms |
7928 KB |
Output is correct |
4 |
Correct |
8 ms |
7800 KB |
Output is correct |
5 |
Correct |
9 ms |
7928 KB |
Output is correct |
6 |
Correct |
9 ms |
7932 KB |
Output is correct |
7 |
Correct |
8 ms |
7800 KB |
Output is correct |
8 |
Correct |
8 ms |
7800 KB |
Output is correct |
9 |
Correct |
9 ms |
7928 KB |
Output is correct |
10 |
Correct |
9 ms |
7928 KB |
Output is correct |
11 |
Correct |
9 ms |
7928 KB |
Output is correct |
12 |
Correct |
9 ms |
7928 KB |
Output is correct |
13 |
Correct |
9 ms |
7928 KB |
Output is correct |
14 |
Correct |
9 ms |
7988 KB |
Output is correct |
15 |
Correct |
9 ms |
7928 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
7800 KB |
Output is correct |
2 |
Correct |
9 ms |
7928 KB |
Output is correct |
3 |
Correct |
9 ms |
7928 KB |
Output is correct |
4 |
Correct |
8 ms |
7800 KB |
Output is correct |
5 |
Correct |
9 ms |
7928 KB |
Output is correct |
6 |
Correct |
9 ms |
7932 KB |
Output is correct |
7 |
Correct |
8 ms |
7800 KB |
Output is correct |
8 |
Correct |
8 ms |
7800 KB |
Output is correct |
9 |
Correct |
9 ms |
7928 KB |
Output is correct |
10 |
Correct |
9 ms |
7928 KB |
Output is correct |
11 |
Correct |
9 ms |
7928 KB |
Output is correct |
12 |
Correct |
9 ms |
7928 KB |
Output is correct |
13 |
Correct |
9 ms |
7928 KB |
Output is correct |
14 |
Correct |
9 ms |
7988 KB |
Output is correct |
15 |
Correct |
9 ms |
7928 KB |
Output is correct |
16 |
Correct |
202 ms |
19596 KB |
Output is correct |
17 |
Correct |
542 ms |
31304 KB |
Output is correct |
18 |
Correct |
44 ms |
10232 KB |
Output is correct |
19 |
Correct |
200 ms |
20896 KB |
Output is correct |
20 |
Correct |
542 ms |
31612 KB |
Output is correct |
21 |
Correct |
302 ms |
23660 KB |
Output is correct |
22 |
Correct |
192 ms |
19572 KB |
Output is correct |
23 |
Correct |
567 ms |
31472 KB |
Output is correct |
24 |
Correct |
570 ms |
31564 KB |
Output is correct |
25 |
Correct |
563 ms |
31468 KB |
Output is correct |
26 |
Correct |
201 ms |
20712 KB |
Output is correct |
27 |
Correct |
199 ms |
20844 KB |
Output is correct |
28 |
Correct |
207 ms |
20756 KB |
Output is correct |
29 |
Correct |
202 ms |
20888 KB |
Output is correct |
30 |
Correct |
201 ms |
21028 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
7800 KB |
Output is correct |
2 |
Correct |
8 ms |
7800 KB |
Output is correct |
3 |
Correct |
8 ms |
7800 KB |
Output is correct |
4 |
Correct |
8 ms |
7800 KB |
Output is correct |
5 |
Correct |
8 ms |
7800 KB |
Output is correct |
6 |
Correct |
8 ms |
7800 KB |
Output is correct |
7 |
Correct |
8 ms |
7804 KB |
Output is correct |
8 |
Correct |
8 ms |
7800 KB |
Output is correct |
9 |
Correct |
8 ms |
7800 KB |
Output is correct |
10 |
Correct |
8 ms |
7800 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
272 ms |
23272 KB |
Output is correct |
2 |
Correct |
506 ms |
31212 KB |
Output is correct |
3 |
Correct |
495 ms |
31252 KB |
Output is correct |
4 |
Correct |
166 ms |
20980 KB |
Output is correct |
5 |
Correct |
513 ms |
31204 KB |
Output is correct |
6 |
Correct |
493 ms |
31184 KB |
Output is correct |
7 |
Correct |
501 ms |
31068 KB |
Output is correct |
8 |
Correct |
464 ms |
31048 KB |
Output is correct |
9 |
Correct |
498 ms |
31032 KB |
Output is correct |
10 |
Correct |
499 ms |
31192 KB |
Output is correct |
11 |
Correct |
508 ms |
31144 KB |
Output is correct |
12 |
Correct |
529 ms |
31192 KB |
Output is correct |
13 |
Correct |
511 ms |
31208 KB |
Output is correct |
14 |
Correct |
518 ms |
31056 KB |
Output is correct |
15 |
Correct |
518 ms |
31096 KB |
Output is correct |
16 |
Correct |
526 ms |
31348 KB |
Output is correct |
17 |
Correct |
525 ms |
31088 KB |
Output is correct |
18 |
Correct |
537 ms |
31176 KB |
Output is correct |
19 |
Correct |
147 ms |
18800 KB |
Output is correct |
20 |
Correct |
555 ms |
31244 KB |
Output is correct |
21 |
Correct |
492 ms |
30724 KB |
Output is correct |
22 |
Correct |
156 ms |
20576 KB |
Output is correct |
23 |
Correct |
209 ms |
25424 KB |
Output is correct |
24 |
Correct |
159 ms |
20624 KB |
Output is correct |
25 |
Correct |
162 ms |
20468 KB |
Output is correct |
26 |
Correct |
228 ms |
26096 KB |
Output is correct |
27 |
Correct |
174 ms |
21132 KB |
Output is correct |
28 |
Correct |
162 ms |
20588 KB |
Output is correct |
29 |
Correct |
168 ms |
20980 KB |
Output is correct |
30 |
Correct |
158 ms |
20604 KB |
Output is correct |
31 |
Correct |
156 ms |
20988 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
7800 KB |
Output is correct |
2 |
Correct |
9 ms |
7928 KB |
Output is correct |
3 |
Correct |
9 ms |
7928 KB |
Output is correct |
4 |
Correct |
8 ms |
7800 KB |
Output is correct |
5 |
Correct |
9 ms |
7928 KB |
Output is correct |
6 |
Correct |
9 ms |
7932 KB |
Output is correct |
7 |
Correct |
8 ms |
7800 KB |
Output is correct |
8 |
Correct |
8 ms |
7800 KB |
Output is correct |
9 |
Correct |
9 ms |
7928 KB |
Output is correct |
10 |
Correct |
9 ms |
7928 KB |
Output is correct |
11 |
Correct |
9 ms |
7928 KB |
Output is correct |
12 |
Correct |
9 ms |
7928 KB |
Output is correct |
13 |
Correct |
9 ms |
7928 KB |
Output is correct |
14 |
Correct |
9 ms |
7988 KB |
Output is correct |
15 |
Correct |
9 ms |
7928 KB |
Output is correct |
16 |
Correct |
202 ms |
19596 KB |
Output is correct |
17 |
Correct |
542 ms |
31304 KB |
Output is correct |
18 |
Correct |
44 ms |
10232 KB |
Output is correct |
19 |
Correct |
200 ms |
20896 KB |
Output is correct |
20 |
Correct |
542 ms |
31612 KB |
Output is correct |
21 |
Correct |
302 ms |
23660 KB |
Output is correct |
22 |
Correct |
192 ms |
19572 KB |
Output is correct |
23 |
Correct |
567 ms |
31472 KB |
Output is correct |
24 |
Correct |
570 ms |
31564 KB |
Output is correct |
25 |
Correct |
563 ms |
31468 KB |
Output is correct |
26 |
Correct |
201 ms |
20712 KB |
Output is correct |
27 |
Correct |
199 ms |
20844 KB |
Output is correct |
28 |
Correct |
207 ms |
20756 KB |
Output is correct |
29 |
Correct |
202 ms |
20888 KB |
Output is correct |
30 |
Correct |
201 ms |
21028 KB |
Output is correct |
31 |
Correct |
8 ms |
7800 KB |
Output is correct |
32 |
Correct |
8 ms |
7800 KB |
Output is correct |
33 |
Correct |
8 ms |
7800 KB |
Output is correct |
34 |
Correct |
8 ms |
7800 KB |
Output is correct |
35 |
Correct |
8 ms |
7800 KB |
Output is correct |
36 |
Correct |
8 ms |
7800 KB |
Output is correct |
37 |
Correct |
8 ms |
7804 KB |
Output is correct |
38 |
Correct |
8 ms |
7800 KB |
Output is correct |
39 |
Correct |
8 ms |
7800 KB |
Output is correct |
40 |
Correct |
8 ms |
7800 KB |
Output is correct |
41 |
Correct |
272 ms |
23272 KB |
Output is correct |
42 |
Correct |
506 ms |
31212 KB |
Output is correct |
43 |
Correct |
495 ms |
31252 KB |
Output is correct |
44 |
Correct |
166 ms |
20980 KB |
Output is correct |
45 |
Correct |
513 ms |
31204 KB |
Output is correct |
46 |
Correct |
493 ms |
31184 KB |
Output is correct |
47 |
Correct |
501 ms |
31068 KB |
Output is correct |
48 |
Correct |
464 ms |
31048 KB |
Output is correct |
49 |
Correct |
498 ms |
31032 KB |
Output is correct |
50 |
Correct |
499 ms |
31192 KB |
Output is correct |
51 |
Correct |
508 ms |
31144 KB |
Output is correct |
52 |
Correct |
529 ms |
31192 KB |
Output is correct |
53 |
Correct |
511 ms |
31208 KB |
Output is correct |
54 |
Correct |
518 ms |
31056 KB |
Output is correct |
55 |
Correct |
518 ms |
31096 KB |
Output is correct |
56 |
Correct |
526 ms |
31348 KB |
Output is correct |
57 |
Correct |
525 ms |
31088 KB |
Output is correct |
58 |
Correct |
537 ms |
31176 KB |
Output is correct |
59 |
Correct |
147 ms |
18800 KB |
Output is correct |
60 |
Correct |
555 ms |
31244 KB |
Output is correct |
61 |
Correct |
492 ms |
30724 KB |
Output is correct |
62 |
Correct |
156 ms |
20576 KB |
Output is correct |
63 |
Correct |
209 ms |
25424 KB |
Output is correct |
64 |
Correct |
159 ms |
20624 KB |
Output is correct |
65 |
Correct |
162 ms |
20468 KB |
Output is correct |
66 |
Correct |
228 ms |
26096 KB |
Output is correct |
67 |
Correct |
174 ms |
21132 KB |
Output is correct |
68 |
Correct |
162 ms |
20588 KB |
Output is correct |
69 |
Correct |
168 ms |
20980 KB |
Output is correct |
70 |
Correct |
158 ms |
20604 KB |
Output is correct |
71 |
Correct |
156 ms |
20988 KB |
Output is correct |
72 |
Correct |
306 ms |
23936 KB |
Output is correct |
73 |
Correct |
576 ms |
31808 KB |
Output is correct |
74 |
Correct |
589 ms |
36804 KB |
Output is correct |
75 |
Correct |
595 ms |
37668 KB |
Output is correct |
76 |
Correct |
626 ms |
37652 KB |
Output is correct |
77 |
Correct |
581 ms |
37660 KB |
Output is correct |
78 |
Correct |
581 ms |
37692 KB |
Output is correct |
79 |
Correct |
581 ms |
37452 KB |
Output is correct |
80 |
Correct |
603 ms |
37228 KB |
Output is correct |
81 |
Correct |
584 ms |
37668 KB |
Output is correct |
82 |
Correct |
580 ms |
37940 KB |
Output is correct |
83 |
Correct |
568 ms |
37992 KB |
Output is correct |
84 |
Correct |
557 ms |
37116 KB |
Output is correct |
85 |
Correct |
559 ms |
36668 KB |
Output is correct |
86 |
Correct |
563 ms |
36932 KB |
Output is correct |
87 |
Correct |
571 ms |
37536 KB |
Output is correct |
88 |
Correct |
568 ms |
37164 KB |
Output is correct |
89 |
Correct |
196 ms |
21788 KB |
Output is correct |
90 |
Correct |
534 ms |
36460 KB |
Output is correct |
91 |
Correct |
534 ms |
36584 KB |
Output is correct |
92 |
Correct |
208 ms |
23160 KB |
Output is correct |
93 |
Correct |
252 ms |
28448 KB |
Output is correct |
94 |
Correct |
207 ms |
23012 KB |
Output is correct |
95 |
Correct |
198 ms |
23144 KB |
Output is correct |
96 |
Correct |
279 ms |
28812 KB |
Output is correct |
97 |
Correct |
216 ms |
23852 KB |
Output is correct |
98 |
Correct |
209 ms |
23040 KB |
Output is correct |
99 |
Correct |
217 ms |
23796 KB |
Output is correct |
100 |
Correct |
206 ms |
23140 KB |
Output is correct |