#include <bits/stdc++.h>
#pragma GCC optimize("O3")
using namespace std;
#define FOR(a,b) for(int a=0;a<b;a++)
#define F0R(a,b,c) for(int a = b; a<=c; a++)
#define f first
#define s second
#define m0(x) memset(x,0,sizeof(x))
#define all(x) x.begin(), x.end()
typedef pair<int,int> pi;
typedef long long ll;
typedef vector<int> vi;
typedef vector<pi> vpi;
const int large = 1e5;
struct path{
int start, finish, val, cost;
path(int s, int f, int c){
start = s; finish = f; cost = c;
}
bool operator > (const path &b) const{
return (val > b.val);
}
int other(int x){
if(x == start) return finish;
else return start;
}
};
int n,m;
int cur;
vi edges[large+1];
vector<path> roads;
vi parents;
vi dist;
vi members[large+1];
vpi transfers[large+1];
int bpath(int a, int b){
int asz = transfers[a].size();
int bsz = transfers[b].size();
if(asz > bsz){
swap(a,b);
swap(asz,bsz);
}
int ans = 0;
F0R(i,1,asz){
pi aval = transfers[a][asz-i];
pi bval = transfers[b][bsz-i];
if(aval.f != bval.f) break;
ans = min(aval.s, bval.s);
}
return ans;
}
void mergeNode(int a, int b){
a = parents[a];
b = parents[b];
if(a == b) return;
if(members[a].size() < members[b].size()) swap(a,b);
while(!members[b].empty()){
int node = members[b].back(); members[b].pop_back();
members[a].push_back(node);
parents[node] = a;
transfers[node].push_back({a,cur});
}
}
const int inf = 1e9;
int main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> n >> m;
parents.resize(n+1); iota(all(parents),0);
dist.resize(n+1,inf);
F0R(i,1,n) members[i].push_back(i);
F0R(i,1,n) transfers[i].push_back({i,inf});
FOR(i,m){
int a, b, w; cin >> a >> b >> w;
roads.emplace_back(a,b,w);
edges[a].push_back(i);
edges[b].push_back(i);
}
//run dijkstra
priority_queue<pi, vpi, greater<pi>> pq;
int k; cin >> k;
FOR(i,k){
int a; cin >> a;
dist[a] = 0;
pq.push({0,a});
}
while(!pq.empty()){
pi a = pq.top(); pq.pop();
if(dist[a.s] < a.f) continue;
for(int e: edges[a.s]){
path &p = roads[e];
int b = p.other(a.s);
if(a.f+p.cost >= dist[b]) continue;
dist[b] = a.f+p.cost;
pq.push({dist[b], b});
}
}
//assign values to paths
FOR(i,m){
path &a = roads[i];
a.val = min(dist[a.start], dist[a.finish]);
}
//sort roads
sort(all(roads), greater<path>());
//go through roads and do dsu
for(path &p : roads){
cur = p.val;
mergeNode(p.start, p.finish);
}
//answer queries
int q; cin >> q;
FOR(i,q){
int a, b; cin >> a >> b;
cout << bpath(a,b) << "\n";
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7424 KB |
Output is correct |
2 |
Correct |
6 ms |
7552 KB |
Output is correct |
3 |
Correct |
6 ms |
7552 KB |
Output is correct |
4 |
Correct |
5 ms |
7424 KB |
Output is correct |
5 |
Correct |
6 ms |
7552 KB |
Output is correct |
6 |
Correct |
6 ms |
7552 KB |
Output is correct |
7 |
Correct |
5 ms |
7424 KB |
Output is correct |
8 |
Correct |
5 ms |
7424 KB |
Output is correct |
9 |
Correct |
6 ms |
7552 KB |
Output is correct |
10 |
Correct |
6 ms |
7552 KB |
Output is correct |
11 |
Correct |
6 ms |
7552 KB |
Output is correct |
12 |
Correct |
6 ms |
7552 KB |
Output is correct |
13 |
Correct |
7 ms |
7552 KB |
Output is correct |
14 |
Correct |
6 ms |
7552 KB |
Output is correct |
15 |
Correct |
7 ms |
7552 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7424 KB |
Output is correct |
2 |
Correct |
6 ms |
7552 KB |
Output is correct |
3 |
Correct |
6 ms |
7552 KB |
Output is correct |
4 |
Correct |
5 ms |
7424 KB |
Output is correct |
5 |
Correct |
6 ms |
7552 KB |
Output is correct |
6 |
Correct |
6 ms |
7552 KB |
Output is correct |
7 |
Correct |
5 ms |
7424 KB |
Output is correct |
8 |
Correct |
5 ms |
7424 KB |
Output is correct |
9 |
Correct |
6 ms |
7552 KB |
Output is correct |
10 |
Correct |
6 ms |
7552 KB |
Output is correct |
11 |
Correct |
6 ms |
7552 KB |
Output is correct |
12 |
Correct |
6 ms |
7552 KB |
Output is correct |
13 |
Correct |
7 ms |
7552 KB |
Output is correct |
14 |
Correct |
6 ms |
7552 KB |
Output is correct |
15 |
Correct |
7 ms |
7552 KB |
Output is correct |
16 |
Correct |
208 ms |
22988 KB |
Output is correct |
17 |
Correct |
579 ms |
42832 KB |
Output is correct |
18 |
Correct |
38 ms |
10732 KB |
Output is correct |
19 |
Correct |
208 ms |
24676 KB |
Output is correct |
20 |
Correct |
563 ms |
42708 KB |
Output is correct |
21 |
Correct |
312 ms |
29668 KB |
Output is correct |
22 |
Correct |
176 ms |
24040 KB |
Output is correct |
23 |
Correct |
573 ms |
42580 KB |
Output is correct |
24 |
Correct |
572 ms |
42712 KB |
Output is correct |
25 |
Correct |
570 ms |
42712 KB |
Output is correct |
26 |
Correct |
204 ms |
24552 KB |
Output is correct |
27 |
Correct |
199 ms |
24552 KB |
Output is correct |
28 |
Correct |
198 ms |
24552 KB |
Output is correct |
29 |
Correct |
200 ms |
24552 KB |
Output is correct |
30 |
Correct |
200 ms |
24680 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7424 KB |
Output is correct |
2 |
Correct |
5 ms |
7424 KB |
Output is correct |
3 |
Correct |
5 ms |
7424 KB |
Output is correct |
4 |
Correct |
5 ms |
7424 KB |
Output is correct |
5 |
Correct |
5 ms |
7424 KB |
Output is correct |
6 |
Correct |
5 ms |
7424 KB |
Output is correct |
7 |
Correct |
5 ms |
7424 KB |
Output is correct |
8 |
Correct |
5 ms |
7424 KB |
Output is correct |
9 |
Correct |
5 ms |
7424 KB |
Output is correct |
10 |
Correct |
5 ms |
7424 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
281 ms |
27620 KB |
Output is correct |
2 |
Correct |
527 ms |
41044 KB |
Output is correct |
3 |
Correct |
535 ms |
40916 KB |
Output is correct |
4 |
Correct |
162 ms |
22888 KB |
Output is correct |
5 |
Correct |
532 ms |
40916 KB |
Output is correct |
6 |
Correct |
525 ms |
41056 KB |
Output is correct |
7 |
Correct |
527 ms |
41044 KB |
Output is correct |
8 |
Correct |
523 ms |
41044 KB |
Output is correct |
9 |
Correct |
536 ms |
41044 KB |
Output is correct |
10 |
Correct |
542 ms |
41044 KB |
Output is correct |
11 |
Correct |
528 ms |
41044 KB |
Output is correct |
12 |
Correct |
553 ms |
41056 KB |
Output is correct |
13 |
Correct |
528 ms |
41044 KB |
Output is correct |
14 |
Correct |
514 ms |
41044 KB |
Output is correct |
15 |
Correct |
532 ms |
41684 KB |
Output is correct |
16 |
Correct |
530 ms |
41048 KB |
Output is correct |
17 |
Correct |
540 ms |
41044 KB |
Output is correct |
18 |
Correct |
518 ms |
41056 KB |
Output is correct |
19 |
Correct |
130 ms |
21736 KB |
Output is correct |
20 |
Correct |
518 ms |
41004 KB |
Output is correct |
21 |
Correct |
477 ms |
41172 KB |
Output is correct |
22 |
Correct |
162 ms |
23016 KB |
Output is correct |
23 |
Correct |
204 ms |
27880 KB |
Output is correct |
24 |
Correct |
161 ms |
23016 KB |
Output is correct |
25 |
Correct |
164 ms |
23144 KB |
Output is correct |
26 |
Correct |
232 ms |
28308 KB |
Output is correct |
27 |
Correct |
155 ms |
22956 KB |
Output is correct |
28 |
Correct |
163 ms |
23148 KB |
Output is correct |
29 |
Correct |
153 ms |
22888 KB |
Output is correct |
30 |
Correct |
156 ms |
23144 KB |
Output is correct |
31 |
Correct |
156 ms |
22888 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7424 KB |
Output is correct |
2 |
Correct |
6 ms |
7552 KB |
Output is correct |
3 |
Correct |
6 ms |
7552 KB |
Output is correct |
4 |
Correct |
5 ms |
7424 KB |
Output is correct |
5 |
Correct |
6 ms |
7552 KB |
Output is correct |
6 |
Correct |
6 ms |
7552 KB |
Output is correct |
7 |
Correct |
5 ms |
7424 KB |
Output is correct |
8 |
Correct |
5 ms |
7424 KB |
Output is correct |
9 |
Correct |
6 ms |
7552 KB |
Output is correct |
10 |
Correct |
6 ms |
7552 KB |
Output is correct |
11 |
Correct |
6 ms |
7552 KB |
Output is correct |
12 |
Correct |
6 ms |
7552 KB |
Output is correct |
13 |
Correct |
7 ms |
7552 KB |
Output is correct |
14 |
Correct |
6 ms |
7552 KB |
Output is correct |
15 |
Correct |
7 ms |
7552 KB |
Output is correct |
16 |
Correct |
208 ms |
22988 KB |
Output is correct |
17 |
Correct |
579 ms |
42832 KB |
Output is correct |
18 |
Correct |
38 ms |
10732 KB |
Output is correct |
19 |
Correct |
208 ms |
24676 KB |
Output is correct |
20 |
Correct |
563 ms |
42708 KB |
Output is correct |
21 |
Correct |
312 ms |
29668 KB |
Output is correct |
22 |
Correct |
176 ms |
24040 KB |
Output is correct |
23 |
Correct |
573 ms |
42580 KB |
Output is correct |
24 |
Correct |
572 ms |
42712 KB |
Output is correct |
25 |
Correct |
570 ms |
42712 KB |
Output is correct |
26 |
Correct |
204 ms |
24552 KB |
Output is correct |
27 |
Correct |
199 ms |
24552 KB |
Output is correct |
28 |
Correct |
198 ms |
24552 KB |
Output is correct |
29 |
Correct |
200 ms |
24552 KB |
Output is correct |
30 |
Correct |
200 ms |
24680 KB |
Output is correct |
31 |
Correct |
5 ms |
7424 KB |
Output is correct |
32 |
Correct |
5 ms |
7424 KB |
Output is correct |
33 |
Correct |
5 ms |
7424 KB |
Output is correct |
34 |
Correct |
5 ms |
7424 KB |
Output is correct |
35 |
Correct |
5 ms |
7424 KB |
Output is correct |
36 |
Correct |
5 ms |
7424 KB |
Output is correct |
37 |
Correct |
5 ms |
7424 KB |
Output is correct |
38 |
Correct |
5 ms |
7424 KB |
Output is correct |
39 |
Correct |
5 ms |
7424 KB |
Output is correct |
40 |
Correct |
5 ms |
7424 KB |
Output is correct |
41 |
Correct |
281 ms |
27620 KB |
Output is correct |
42 |
Correct |
527 ms |
41044 KB |
Output is correct |
43 |
Correct |
535 ms |
40916 KB |
Output is correct |
44 |
Correct |
162 ms |
22888 KB |
Output is correct |
45 |
Correct |
532 ms |
40916 KB |
Output is correct |
46 |
Correct |
525 ms |
41056 KB |
Output is correct |
47 |
Correct |
527 ms |
41044 KB |
Output is correct |
48 |
Correct |
523 ms |
41044 KB |
Output is correct |
49 |
Correct |
536 ms |
41044 KB |
Output is correct |
50 |
Correct |
542 ms |
41044 KB |
Output is correct |
51 |
Correct |
528 ms |
41044 KB |
Output is correct |
52 |
Correct |
553 ms |
41056 KB |
Output is correct |
53 |
Correct |
528 ms |
41044 KB |
Output is correct |
54 |
Correct |
514 ms |
41044 KB |
Output is correct |
55 |
Correct |
532 ms |
41684 KB |
Output is correct |
56 |
Correct |
530 ms |
41048 KB |
Output is correct |
57 |
Correct |
540 ms |
41044 KB |
Output is correct |
58 |
Correct |
518 ms |
41056 KB |
Output is correct |
59 |
Correct |
130 ms |
21736 KB |
Output is correct |
60 |
Correct |
518 ms |
41004 KB |
Output is correct |
61 |
Correct |
477 ms |
41172 KB |
Output is correct |
62 |
Correct |
162 ms |
23016 KB |
Output is correct |
63 |
Correct |
204 ms |
27880 KB |
Output is correct |
64 |
Correct |
161 ms |
23016 KB |
Output is correct |
65 |
Correct |
164 ms |
23144 KB |
Output is correct |
66 |
Correct |
232 ms |
28308 KB |
Output is correct |
67 |
Correct |
155 ms |
22956 KB |
Output is correct |
68 |
Correct |
163 ms |
23148 KB |
Output is correct |
69 |
Correct |
153 ms |
22888 KB |
Output is correct |
70 |
Correct |
156 ms |
23144 KB |
Output is correct |
71 |
Correct |
156 ms |
22888 KB |
Output is correct |
72 |
Correct |
326 ms |
29308 KB |
Output is correct |
73 |
Correct |
574 ms |
42708 KB |
Output is correct |
74 |
Correct |
574 ms |
42580 KB |
Output is correct |
75 |
Correct |
576 ms |
42660 KB |
Output is correct |
76 |
Correct |
579 ms |
42696 KB |
Output is correct |
77 |
Correct |
570 ms |
42760 KB |
Output is correct |
78 |
Correct |
565 ms |
42708 KB |
Output is correct |
79 |
Correct |
562 ms |
42728 KB |
Output is correct |
80 |
Correct |
565 ms |
42836 KB |
Output is correct |
81 |
Correct |
572 ms |
42756 KB |
Output is correct |
82 |
Correct |
561 ms |
42708 KB |
Output is correct |
83 |
Correct |
567 ms |
42716 KB |
Output is correct |
84 |
Correct |
563 ms |
42712 KB |
Output is correct |
85 |
Correct |
564 ms |
43536 KB |
Output is correct |
86 |
Correct |
560 ms |
42836 KB |
Output is correct |
87 |
Correct |
575 ms |
42708 KB |
Output is correct |
88 |
Correct |
570 ms |
42836 KB |
Output is correct |
89 |
Correct |
173 ms |
23784 KB |
Output is correct |
90 |
Correct |
573 ms |
42836 KB |
Output is correct |
91 |
Correct |
526 ms |
42580 KB |
Output is correct |
92 |
Correct |
211 ms |
24680 KB |
Output is correct |
93 |
Correct |
256 ms |
29928 KB |
Output is correct |
94 |
Correct |
206 ms |
24552 KB |
Output is correct |
95 |
Correct |
205 ms |
24552 KB |
Output is correct |
96 |
Correct |
295 ms |
30056 KB |
Output is correct |
97 |
Correct |
210 ms |
24808 KB |
Output is correct |
98 |
Correct |
209 ms |
24424 KB |
Output is correct |
99 |
Correct |
207 ms |
24808 KB |
Output is correct |
100 |
Correct |
202 ms |
24552 KB |
Output is correct |