#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
const int N = 1e5+5;
vector<pair<int,int> > side[N];
ll dis[N];
pair<int,ll> p[N];
int sz[N];
int query(int a){
while(a!=p[a].first){
a = p[a].first;
}
return a;
}
void join(int a,int b,ll v){
a = query(a);
b = query(b);
if(a==b) return ;
if(sz[a]>sz[b]) swap(a,b);
p[a].first=b;
p[a].second=v;
sz[b]+=sz[a];
}
int main(){
ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
int n,m;cin>>n>>m;
for(int i=0;i<m;i++){
int a,b,w;cin>>a>>b>>w;
side[a].push_back({b,w});
side[b].push_back({a,w});
}
for(int i=1;i<=n;i++) dis[i]=1e18;
priority_queue<pair<ll,int>,vector<pair<ll,int>>,greater<pair<ll,int>>> pq;
int k;cin>>k;
for(int i=0;i<k;i++){
int g;cin>>g;
dis[g]=0;
pq.push({dis[g],g});
}
while(pq.size()){
pair<ll,int> cur= pq.top();
pq.pop();
if(cur.first!=dis[cur.second]) continue;
for(auto e : side[cur.second]){
if(dis[e.first]>dis[cur.second]+e.second){
dis[e.first] = dis[cur.second]+e.second;
pq.push({dis[e.first],e.first});
}
}
}
vector<int> order;
for(int i=1;i<=n;i++){
order.push_back(i);
p[i] = {i,0};
sz[i]=1;
}
sort(order.begin(),order.end(),[&](const int a,const int b){return dis[a]>dis[b];});
for(auto i : order){
for(auto e : side[i]){
if(dis[e.first]<dis[i] || (dis[e.first]==dis[i] && e.first<i)) continue;
join(i,e.first,dis[i]);
}
}
int q;cin>>q;
while(q--){
int s,t;cin>>s>>t;
ll minn = 1e18;
while(s!=t){
if(sz[s]>sz[t]) swap(s,t);
minn = min(p[s].second,minn);
s = p[s].first;
}
cout<<minn<<"\n";
}
return 0;
}
/*
9 12
1 9 4
1 2 5
2 3 7
2 4 3
4 3 6
3 6 4
8 7 10
6 7 5
5 8 1
9 5 7
5 4 12
6 8 2
2
4 7
5
1 6
5 3
4 8
5 8
1 5
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
2 ms |
2772 KB |
Output is correct |
3 |
Correct |
2 ms |
2772 KB |
Output is correct |
4 |
Correct |
1 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2772 KB |
Output is correct |
6 |
Correct |
2 ms |
2772 KB |
Output is correct |
7 |
Correct |
1 ms |
2644 KB |
Output is correct |
8 |
Correct |
1 ms |
2644 KB |
Output is correct |
9 |
Correct |
2 ms |
2644 KB |
Output is correct |
10 |
Correct |
2 ms |
2728 KB |
Output is correct |
11 |
Correct |
2 ms |
2772 KB |
Output is correct |
12 |
Correct |
2 ms |
2772 KB |
Output is correct |
13 |
Correct |
2 ms |
2644 KB |
Output is correct |
14 |
Correct |
2 ms |
2772 KB |
Output is correct |
15 |
Correct |
2 ms |
2772 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
2 ms |
2772 KB |
Output is correct |
3 |
Correct |
2 ms |
2772 KB |
Output is correct |
4 |
Correct |
1 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2772 KB |
Output is correct |
6 |
Correct |
2 ms |
2772 KB |
Output is correct |
7 |
Correct |
1 ms |
2644 KB |
Output is correct |
8 |
Correct |
1 ms |
2644 KB |
Output is correct |
9 |
Correct |
2 ms |
2644 KB |
Output is correct |
10 |
Correct |
2 ms |
2728 KB |
Output is correct |
11 |
Correct |
2 ms |
2772 KB |
Output is correct |
12 |
Correct |
2 ms |
2772 KB |
Output is correct |
13 |
Correct |
2 ms |
2644 KB |
Output is correct |
14 |
Correct |
2 ms |
2772 KB |
Output is correct |
15 |
Correct |
2 ms |
2772 KB |
Output is correct |
16 |
Correct |
73 ms |
9592 KB |
Output is correct |
17 |
Correct |
287 ms |
22728 KB |
Output is correct |
18 |
Correct |
19 ms |
5328 KB |
Output is correct |
19 |
Correct |
69 ms |
14976 KB |
Output is correct |
20 |
Correct |
247 ms |
32024 KB |
Output is correct |
21 |
Correct |
146 ms |
18832 KB |
Output is correct |
22 |
Correct |
62 ms |
12792 KB |
Output is correct |
23 |
Correct |
274 ms |
32016 KB |
Output is correct |
24 |
Correct |
295 ms |
32120 KB |
Output is correct |
25 |
Correct |
251 ms |
32016 KB |
Output is correct |
26 |
Correct |
74 ms |
14820 KB |
Output is correct |
27 |
Correct |
69 ms |
14936 KB |
Output is correct |
28 |
Correct |
80 ms |
14804 KB |
Output is correct |
29 |
Correct |
68 ms |
14952 KB |
Output is correct |
30 |
Correct |
68 ms |
15004 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
1 ms |
2644 KB |
Output is correct |
3 |
Correct |
1 ms |
2644 KB |
Output is correct |
4 |
Correct |
1 ms |
2644 KB |
Output is correct |
5 |
Correct |
1 ms |
2644 KB |
Output is correct |
6 |
Correct |
1 ms |
2644 KB |
Output is correct |
7 |
Correct |
1 ms |
2644 KB |
Output is correct |
8 |
Correct |
2 ms |
2644 KB |
Output is correct |
9 |
Correct |
1 ms |
2644 KB |
Output is correct |
10 |
Correct |
1 ms |
2644 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
98 ms |
13632 KB |
Output is correct |
2 |
Correct |
231 ms |
30388 KB |
Output is correct |
3 |
Correct |
237 ms |
30364 KB |
Output is correct |
4 |
Correct |
45 ms |
10648 KB |
Output is correct |
5 |
Correct |
230 ms |
30396 KB |
Output is correct |
6 |
Correct |
280 ms |
30424 KB |
Output is correct |
7 |
Correct |
246 ms |
30516 KB |
Output is correct |
8 |
Correct |
227 ms |
30436 KB |
Output is correct |
9 |
Correct |
225 ms |
30384 KB |
Output is correct |
10 |
Correct |
256 ms |
30468 KB |
Output is correct |
11 |
Correct |
242 ms |
30344 KB |
Output is correct |
12 |
Correct |
295 ms |
30444 KB |
Output is correct |
13 |
Correct |
245 ms |
30388 KB |
Output is correct |
14 |
Correct |
225 ms |
30400 KB |
Output is correct |
15 |
Correct |
243 ms |
30552 KB |
Output is correct |
16 |
Correct |
225 ms |
30392 KB |
Output is correct |
17 |
Correct |
236 ms |
30384 KB |
Output is correct |
18 |
Correct |
302 ms |
30436 KB |
Output is correct |
19 |
Correct |
40 ms |
10648 KB |
Output is correct |
20 |
Correct |
257 ms |
30340 KB |
Output is correct |
21 |
Correct |
288 ms |
30300 KB |
Output is correct |
22 |
Correct |
50 ms |
13372 KB |
Output is correct |
23 |
Correct |
48 ms |
11180 KB |
Output is correct |
24 |
Correct |
54 ms |
13324 KB |
Output is correct |
25 |
Correct |
50 ms |
13408 KB |
Output is correct |
26 |
Correct |
58 ms |
11320 KB |
Output is correct |
27 |
Correct |
40 ms |
10624 KB |
Output is correct |
28 |
Correct |
59 ms |
13404 KB |
Output is correct |
29 |
Correct |
40 ms |
10584 KB |
Output is correct |
30 |
Correct |
54 ms |
13320 KB |
Output is correct |
31 |
Correct |
39 ms |
10656 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
Output is correct |
2 |
Correct |
2 ms |
2772 KB |
Output is correct |
3 |
Correct |
2 ms |
2772 KB |
Output is correct |
4 |
Correct |
1 ms |
2644 KB |
Output is correct |
5 |
Correct |
2 ms |
2772 KB |
Output is correct |
6 |
Correct |
2 ms |
2772 KB |
Output is correct |
7 |
Correct |
1 ms |
2644 KB |
Output is correct |
8 |
Correct |
1 ms |
2644 KB |
Output is correct |
9 |
Correct |
2 ms |
2644 KB |
Output is correct |
10 |
Correct |
2 ms |
2728 KB |
Output is correct |
11 |
Correct |
2 ms |
2772 KB |
Output is correct |
12 |
Correct |
2 ms |
2772 KB |
Output is correct |
13 |
Correct |
2 ms |
2644 KB |
Output is correct |
14 |
Correct |
2 ms |
2772 KB |
Output is correct |
15 |
Correct |
2 ms |
2772 KB |
Output is correct |
16 |
Correct |
73 ms |
9592 KB |
Output is correct |
17 |
Correct |
287 ms |
22728 KB |
Output is correct |
18 |
Correct |
19 ms |
5328 KB |
Output is correct |
19 |
Correct |
69 ms |
14976 KB |
Output is correct |
20 |
Correct |
247 ms |
32024 KB |
Output is correct |
21 |
Correct |
146 ms |
18832 KB |
Output is correct |
22 |
Correct |
62 ms |
12792 KB |
Output is correct |
23 |
Correct |
274 ms |
32016 KB |
Output is correct |
24 |
Correct |
295 ms |
32120 KB |
Output is correct |
25 |
Correct |
251 ms |
32016 KB |
Output is correct |
26 |
Correct |
74 ms |
14820 KB |
Output is correct |
27 |
Correct |
69 ms |
14936 KB |
Output is correct |
28 |
Correct |
80 ms |
14804 KB |
Output is correct |
29 |
Correct |
68 ms |
14952 KB |
Output is correct |
30 |
Correct |
68 ms |
15004 KB |
Output is correct |
31 |
Correct |
1 ms |
2644 KB |
Output is correct |
32 |
Correct |
1 ms |
2644 KB |
Output is correct |
33 |
Correct |
1 ms |
2644 KB |
Output is correct |
34 |
Correct |
1 ms |
2644 KB |
Output is correct |
35 |
Correct |
1 ms |
2644 KB |
Output is correct |
36 |
Correct |
1 ms |
2644 KB |
Output is correct |
37 |
Correct |
1 ms |
2644 KB |
Output is correct |
38 |
Correct |
2 ms |
2644 KB |
Output is correct |
39 |
Correct |
1 ms |
2644 KB |
Output is correct |
40 |
Correct |
1 ms |
2644 KB |
Output is correct |
41 |
Correct |
98 ms |
13632 KB |
Output is correct |
42 |
Correct |
231 ms |
30388 KB |
Output is correct |
43 |
Correct |
237 ms |
30364 KB |
Output is correct |
44 |
Correct |
45 ms |
10648 KB |
Output is correct |
45 |
Correct |
230 ms |
30396 KB |
Output is correct |
46 |
Correct |
280 ms |
30424 KB |
Output is correct |
47 |
Correct |
246 ms |
30516 KB |
Output is correct |
48 |
Correct |
227 ms |
30436 KB |
Output is correct |
49 |
Correct |
225 ms |
30384 KB |
Output is correct |
50 |
Correct |
256 ms |
30468 KB |
Output is correct |
51 |
Correct |
242 ms |
30344 KB |
Output is correct |
52 |
Correct |
295 ms |
30444 KB |
Output is correct |
53 |
Correct |
245 ms |
30388 KB |
Output is correct |
54 |
Correct |
225 ms |
30400 KB |
Output is correct |
55 |
Correct |
243 ms |
30552 KB |
Output is correct |
56 |
Correct |
225 ms |
30392 KB |
Output is correct |
57 |
Correct |
236 ms |
30384 KB |
Output is correct |
58 |
Correct |
302 ms |
30436 KB |
Output is correct |
59 |
Correct |
40 ms |
10648 KB |
Output is correct |
60 |
Correct |
257 ms |
30340 KB |
Output is correct |
61 |
Correct |
288 ms |
30300 KB |
Output is correct |
62 |
Correct |
50 ms |
13372 KB |
Output is correct |
63 |
Correct |
48 ms |
11180 KB |
Output is correct |
64 |
Correct |
54 ms |
13324 KB |
Output is correct |
65 |
Correct |
50 ms |
13408 KB |
Output is correct |
66 |
Correct |
58 ms |
11320 KB |
Output is correct |
67 |
Correct |
40 ms |
10624 KB |
Output is correct |
68 |
Correct |
59 ms |
13404 KB |
Output is correct |
69 |
Correct |
40 ms |
10584 KB |
Output is correct |
70 |
Correct |
54 ms |
13320 KB |
Output is correct |
71 |
Correct |
39 ms |
10656 KB |
Output is correct |
72 |
Correct |
134 ms |
18672 KB |
Output is correct |
73 |
Correct |
322 ms |
32060 KB |
Output is correct |
74 |
Correct |
263 ms |
32056 KB |
Output is correct |
75 |
Correct |
313 ms |
32088 KB |
Output is correct |
76 |
Correct |
242 ms |
32044 KB |
Output is correct |
77 |
Correct |
270 ms |
32068 KB |
Output is correct |
78 |
Correct |
285 ms |
31952 KB |
Output is correct |
79 |
Correct |
271 ms |
32044 KB |
Output is correct |
80 |
Correct |
253 ms |
32092 KB |
Output is correct |
81 |
Correct |
264 ms |
32064 KB |
Output is correct |
82 |
Correct |
306 ms |
32124 KB |
Output is correct |
83 |
Correct |
273 ms |
32000 KB |
Output is correct |
84 |
Correct |
244 ms |
32100 KB |
Output is correct |
85 |
Correct |
291 ms |
32124 KB |
Output is correct |
86 |
Correct |
258 ms |
31996 KB |
Output is correct |
87 |
Correct |
258 ms |
32084 KB |
Output is correct |
88 |
Correct |
266 ms |
32068 KB |
Output is correct |
89 |
Correct |
60 ms |
12784 KB |
Output is correct |
90 |
Correct |
254 ms |
32064 KB |
Output is correct |
91 |
Correct |
278 ms |
31788 KB |
Output is correct |
92 |
Correct |
76 ms |
14904 KB |
Output is correct |
93 |
Correct |
72 ms |
13216 KB |
Output is correct |
94 |
Correct |
73 ms |
14840 KB |
Output is correct |
95 |
Correct |
71 ms |
14996 KB |
Output is correct |
96 |
Correct |
78 ms |
12748 KB |
Output is correct |
97 |
Correct |
67 ms |
12368 KB |
Output is correct |
98 |
Correct |
66 ms |
14884 KB |
Output is correct |
99 |
Correct |
62 ms |
12376 KB |
Output is correct |
100 |
Correct |
71 ms |
14992 KB |
Output is correct |