#include<bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5;
struct edge{
int x, c;
};
vector<edge> gr[N];
struct dst{
int d, id;
};
int dist[N];
dst ord[N];
bool mark[N];
bool cmpdist(dst a, dst b){
return a.d > b.d;
}
int par[N];
vector<int> arb[N];
int findt(int nod){
if(nod == par[nod])
return nod;
par[nod] = findt(par[nod]);
return par[nod];
}
void join(int son,int dad){
son = findt(son);
if(son != dad){
par[son] = dad;
arb[son].push_back(dad);
arb[dad].push_back(son);
}
}
int pr[20][N];
int in[N], out[N];
int cnt = 0;
void dfs_arb(int nod,int dad){
pr[0][nod] = dad;
in[nod] = ++cnt;
for(auto x:arb[nod]){
if(x!=dad){
dfs_arb(x, nod);
}
}
out[nod] = cnt;
}
bool isdad(int dad, int son){
return in[dad] <= in[son] && out[son] <= out[dad];
}
int main()
{
int n, m;
cin>>n>>m;
for(int i=1;i<=m;i++){
int a, b, c;
cin>>a>>b>>c;
gr[a].push_back({b, c});
gr[b].push_back({a, c});
}
for(int i=1;i<=n;i++){
dist[i] = INT_MAX;
}
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
int k;
cin>>k;
for(int i=1;i<=k;i++){
int o;
cin>>o;
dist[o] = 0;
pq.push({0, o});
}
while(pq.size()){
auto top = pq.top();
pq.pop();
int nod = top.second;
int cost = top.first;
if(cost == dist[nod]){
for(auto e:gr[nod]){
if(cost + e.c < dist[e.x]){
dist[e.x] = cost + e.c;
pq.push({dist[e.x], e.x});
}
}
}
}
for(int i=1;i<=n;i++){
ord[i] = {dist[i], i};
par[i] = i;
}
sort(ord + 1, ord + n + 1, cmpdist);
int root = 0;
for(int i=1; i<=n;i++){
int nod = ord[i].id;
mark[nod] = true;
root = nod;
for(auto x:gr[nod]){
int vec = x.x;
if(mark[vec] == true){
join(vec, nod); // il pun pe nod tata la vec;
}
}
}
dfs_arb(root, 0);
for(int log =1; log < 17;log++){
for(int nod = 1; nod<=n;nod++){
pr[log][nod] = pr[log-1][pr[log-1][nod]];
}
}
int q;
cin>>q;
for(int i =1 ; i<=q;i++){
int a, b;
cin>>a>>b;
for(int p2 = 16;p2>=0;p2--){
if(pr[p2][a] != 0 && isdad(pr[p2][a], b)== false){
a = pr[p2][a];
}
}
if(isdad(a, b) == false){
a = pr[0][a];
}
cout<<dist[a]<<"\n";
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
5100 KB |
Output is correct |
2 |
Correct |
8 ms |
5356 KB |
Output is correct |
3 |
Correct |
9 ms |
5356 KB |
Output is correct |
4 |
Correct |
4 ms |
5100 KB |
Output is correct |
5 |
Correct |
9 ms |
5356 KB |
Output is correct |
6 |
Correct |
8 ms |
5356 KB |
Output is correct |
7 |
Correct |
4 ms |
5100 KB |
Output is correct |
8 |
Correct |
4 ms |
5100 KB |
Output is correct |
9 |
Correct |
8 ms |
5356 KB |
Output is correct |
10 |
Correct |
8 ms |
5356 KB |
Output is correct |
11 |
Correct |
8 ms |
5356 KB |
Output is correct |
12 |
Correct |
8 ms |
5356 KB |
Output is correct |
13 |
Correct |
8 ms |
5356 KB |
Output is correct |
14 |
Correct |
8 ms |
5356 KB |
Output is correct |
15 |
Correct |
8 ms |
5356 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
5100 KB |
Output is correct |
2 |
Correct |
8 ms |
5356 KB |
Output is correct |
3 |
Correct |
9 ms |
5356 KB |
Output is correct |
4 |
Correct |
4 ms |
5100 KB |
Output is correct |
5 |
Correct |
9 ms |
5356 KB |
Output is correct |
6 |
Correct |
8 ms |
5356 KB |
Output is correct |
7 |
Correct |
4 ms |
5100 KB |
Output is correct |
8 |
Correct |
4 ms |
5100 KB |
Output is correct |
9 |
Correct |
8 ms |
5356 KB |
Output is correct |
10 |
Correct |
8 ms |
5356 KB |
Output is correct |
11 |
Correct |
8 ms |
5356 KB |
Output is correct |
12 |
Correct |
8 ms |
5356 KB |
Output is correct |
13 |
Correct |
8 ms |
5356 KB |
Output is correct |
14 |
Correct |
8 ms |
5356 KB |
Output is correct |
15 |
Correct |
8 ms |
5356 KB |
Output is correct |
16 |
Correct |
654 ms |
22760 KB |
Output is correct |
17 |
Correct |
1377 ms |
44680 KB |
Output is correct |
18 |
Correct |
90 ms |
9196 KB |
Output is correct |
19 |
Correct |
522 ms |
25696 KB |
Output is correct |
20 |
Correct |
1371 ms |
44724 KB |
Output is correct |
21 |
Correct |
891 ms |
31568 KB |
Output is correct |
22 |
Correct |
675 ms |
28816 KB |
Output is correct |
23 |
Correct |
1371 ms |
44676 KB |
Output is correct |
24 |
Correct |
1332 ms |
44716 KB |
Output is correct |
25 |
Correct |
1367 ms |
44512 KB |
Output is correct |
26 |
Correct |
534 ms |
25696 KB |
Output is correct |
27 |
Correct |
516 ms |
25640 KB |
Output is correct |
28 |
Correct |
543 ms |
25568 KB |
Output is correct |
29 |
Correct |
518 ms |
25836 KB |
Output is correct |
30 |
Correct |
505 ms |
25648 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
5100 KB |
Output is correct |
2 |
Correct |
5 ms |
5100 KB |
Output is correct |
3 |
Correct |
4 ms |
5100 KB |
Output is correct |
4 |
Correct |
4 ms |
5100 KB |
Output is correct |
5 |
Correct |
4 ms |
5100 KB |
Output is correct |
6 |
Correct |
4 ms |
5100 KB |
Output is correct |
7 |
Correct |
4 ms |
5100 KB |
Output is correct |
8 |
Correct |
4 ms |
5100 KB |
Output is correct |
9 |
Correct |
4 ms |
5100 KB |
Output is correct |
10 |
Correct |
4 ms |
5100 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
397 ms |
29540 KB |
Output is correct |
2 |
Correct |
861 ms |
42848 KB |
Output is correct |
3 |
Correct |
850 ms |
42848 KB |
Output is correct |
4 |
Correct |
172 ms |
24428 KB |
Output is correct |
5 |
Correct |
831 ms |
43060 KB |
Output is correct |
6 |
Correct |
836 ms |
42848 KB |
Output is correct |
7 |
Correct |
844 ms |
42944 KB |
Output is correct |
8 |
Correct |
837 ms |
42848 KB |
Output is correct |
9 |
Correct |
824 ms |
42976 KB |
Output is correct |
10 |
Correct |
829 ms |
42848 KB |
Output is correct |
11 |
Correct |
824 ms |
42868 KB |
Output is correct |
12 |
Correct |
825 ms |
42848 KB |
Output is correct |
13 |
Correct |
825 ms |
42904 KB |
Output is correct |
14 |
Correct |
822 ms |
42976 KB |
Output is correct |
15 |
Correct |
832 ms |
43056 KB |
Output is correct |
16 |
Correct |
819 ms |
42880 KB |
Output is correct |
17 |
Correct |
824 ms |
42848 KB |
Output is correct |
18 |
Correct |
808 ms |
42976 KB |
Output is correct |
19 |
Correct |
171 ms |
26732 KB |
Output is correct |
20 |
Correct |
819 ms |
42848 KB |
Output is correct |
21 |
Correct |
785 ms |
43088 KB |
Output is correct |
22 |
Correct |
177 ms |
24032 KB |
Output is correct |
23 |
Correct |
183 ms |
23532 KB |
Output is correct |
24 |
Correct |
177 ms |
24032 KB |
Output is correct |
25 |
Correct |
181 ms |
24032 KB |
Output is correct |
26 |
Correct |
201 ms |
22892 KB |
Output is correct |
27 |
Correct |
171 ms |
24300 KB |
Output is correct |
28 |
Correct |
174 ms |
24032 KB |
Output is correct |
29 |
Correct |
174 ms |
24300 KB |
Output is correct |
30 |
Correct |
172 ms |
24004 KB |
Output is correct |
31 |
Correct |
171 ms |
24660 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
5100 KB |
Output is correct |
2 |
Correct |
8 ms |
5356 KB |
Output is correct |
3 |
Correct |
9 ms |
5356 KB |
Output is correct |
4 |
Correct |
4 ms |
5100 KB |
Output is correct |
5 |
Correct |
9 ms |
5356 KB |
Output is correct |
6 |
Correct |
8 ms |
5356 KB |
Output is correct |
7 |
Correct |
4 ms |
5100 KB |
Output is correct |
8 |
Correct |
4 ms |
5100 KB |
Output is correct |
9 |
Correct |
8 ms |
5356 KB |
Output is correct |
10 |
Correct |
8 ms |
5356 KB |
Output is correct |
11 |
Correct |
8 ms |
5356 KB |
Output is correct |
12 |
Correct |
8 ms |
5356 KB |
Output is correct |
13 |
Correct |
8 ms |
5356 KB |
Output is correct |
14 |
Correct |
8 ms |
5356 KB |
Output is correct |
15 |
Correct |
8 ms |
5356 KB |
Output is correct |
16 |
Correct |
654 ms |
22760 KB |
Output is correct |
17 |
Correct |
1377 ms |
44680 KB |
Output is correct |
18 |
Correct |
90 ms |
9196 KB |
Output is correct |
19 |
Correct |
522 ms |
25696 KB |
Output is correct |
20 |
Correct |
1371 ms |
44724 KB |
Output is correct |
21 |
Correct |
891 ms |
31568 KB |
Output is correct |
22 |
Correct |
675 ms |
28816 KB |
Output is correct |
23 |
Correct |
1371 ms |
44676 KB |
Output is correct |
24 |
Correct |
1332 ms |
44716 KB |
Output is correct |
25 |
Correct |
1367 ms |
44512 KB |
Output is correct |
26 |
Correct |
534 ms |
25696 KB |
Output is correct |
27 |
Correct |
516 ms |
25640 KB |
Output is correct |
28 |
Correct |
543 ms |
25568 KB |
Output is correct |
29 |
Correct |
518 ms |
25836 KB |
Output is correct |
30 |
Correct |
505 ms |
25648 KB |
Output is correct |
31 |
Correct |
4 ms |
5100 KB |
Output is correct |
32 |
Correct |
5 ms |
5100 KB |
Output is correct |
33 |
Correct |
4 ms |
5100 KB |
Output is correct |
34 |
Correct |
4 ms |
5100 KB |
Output is correct |
35 |
Correct |
4 ms |
5100 KB |
Output is correct |
36 |
Correct |
4 ms |
5100 KB |
Output is correct |
37 |
Correct |
4 ms |
5100 KB |
Output is correct |
38 |
Correct |
4 ms |
5100 KB |
Output is correct |
39 |
Correct |
4 ms |
5100 KB |
Output is correct |
40 |
Correct |
4 ms |
5100 KB |
Output is correct |
41 |
Correct |
397 ms |
29540 KB |
Output is correct |
42 |
Correct |
861 ms |
42848 KB |
Output is correct |
43 |
Correct |
850 ms |
42848 KB |
Output is correct |
44 |
Correct |
172 ms |
24428 KB |
Output is correct |
45 |
Correct |
831 ms |
43060 KB |
Output is correct |
46 |
Correct |
836 ms |
42848 KB |
Output is correct |
47 |
Correct |
844 ms |
42944 KB |
Output is correct |
48 |
Correct |
837 ms |
42848 KB |
Output is correct |
49 |
Correct |
824 ms |
42976 KB |
Output is correct |
50 |
Correct |
829 ms |
42848 KB |
Output is correct |
51 |
Correct |
824 ms |
42868 KB |
Output is correct |
52 |
Correct |
825 ms |
42848 KB |
Output is correct |
53 |
Correct |
825 ms |
42904 KB |
Output is correct |
54 |
Correct |
822 ms |
42976 KB |
Output is correct |
55 |
Correct |
832 ms |
43056 KB |
Output is correct |
56 |
Correct |
819 ms |
42880 KB |
Output is correct |
57 |
Correct |
824 ms |
42848 KB |
Output is correct |
58 |
Correct |
808 ms |
42976 KB |
Output is correct |
59 |
Correct |
171 ms |
26732 KB |
Output is correct |
60 |
Correct |
819 ms |
42848 KB |
Output is correct |
61 |
Correct |
785 ms |
43088 KB |
Output is correct |
62 |
Correct |
177 ms |
24032 KB |
Output is correct |
63 |
Correct |
183 ms |
23532 KB |
Output is correct |
64 |
Correct |
177 ms |
24032 KB |
Output is correct |
65 |
Correct |
181 ms |
24032 KB |
Output is correct |
66 |
Correct |
201 ms |
22892 KB |
Output is correct |
67 |
Correct |
171 ms |
24300 KB |
Output is correct |
68 |
Correct |
174 ms |
24032 KB |
Output is correct |
69 |
Correct |
174 ms |
24300 KB |
Output is correct |
70 |
Correct |
172 ms |
24004 KB |
Output is correct |
71 |
Correct |
171 ms |
24660 KB |
Output is correct |
72 |
Correct |
870 ms |
31204 KB |
Output is correct |
73 |
Correct |
1301 ms |
44528 KB |
Output is correct |
74 |
Correct |
1297 ms |
44640 KB |
Output is correct |
75 |
Correct |
1294 ms |
44896 KB |
Output is correct |
76 |
Correct |
1298 ms |
44640 KB |
Output is correct |
77 |
Correct |
1298 ms |
44640 KB |
Output is correct |
78 |
Correct |
1290 ms |
44512 KB |
Output is correct |
79 |
Correct |
1295 ms |
44560 KB |
Output is correct |
80 |
Correct |
1301 ms |
44540 KB |
Output is correct |
81 |
Correct |
1315 ms |
44640 KB |
Output is correct |
82 |
Correct |
1298 ms |
44640 KB |
Output is correct |
83 |
Correct |
1288 ms |
44640 KB |
Output is correct |
84 |
Correct |
1285 ms |
44632 KB |
Output is correct |
85 |
Correct |
1280 ms |
44636 KB |
Output is correct |
86 |
Correct |
1326 ms |
45044 KB |
Output is correct |
87 |
Correct |
1272 ms |
44640 KB |
Output is correct |
88 |
Correct |
1300 ms |
44768 KB |
Output is correct |
89 |
Correct |
686 ms |
29292 KB |
Output is correct |
90 |
Correct |
1293 ms |
44512 KB |
Output is correct |
91 |
Correct |
1256 ms |
44668 KB |
Output is correct |
92 |
Correct |
520 ms |
25588 KB |
Output is correct |
93 |
Correct |
602 ms |
25580 KB |
Output is correct |
94 |
Correct |
556 ms |
25440 KB |
Output is correct |
95 |
Correct |
519 ms |
25700 KB |
Output is correct |
96 |
Correct |
555 ms |
24300 KB |
Output is correct |
97 |
Correct |
615 ms |
26220 KB |
Output is correct |
98 |
Correct |
557 ms |
25696 KB |
Output is correct |
99 |
Correct |
616 ms |
26240 KB |
Output is correct |
100 |
Correct |
531 ms |
25576 KB |
Output is correct |