#include<bits/stdc++.h>
using namespace std;
#define pp pair<int,int>
#define fi first
#define se second
const int MAXN=1e5+6;
const int MAXM=5e5+6;
const int INF=2e9;
vector<pair<int,int> >g[MAXN];
struct edge
{
int u,v;
int w;
bool operator<(edge const& other)const
{
return w>other.w;
}
}e[MAXM];
int n,m,k;
int d[MAXN];
vector<int>q;
int l[MAXN],r[MAXN];
int s[MAXN],t[MAXN];
int par[MAXN],sz[MAXN];
bool used[MAXN];
vector<int>to_check[MAXM];
void dijkstra()
{
priority_queue<pp,vector<pp>,greater<pp> >pq;
for(auto xd:q)
{
pq.push({0,xd});
d[xd]=0;
}
while(!pq.empty())
{
int u=pq.top().second;
pq.pop();
if(used[u])continue;
used[u]=1;
for(auto v:g[u])
{
if(d[u]+v.second<d[v.first])
{
d[v.first]=v.second+d[u];
pq.push({d[v.first],v.first});
}
}
}
}
int getRoot(int u)
{
if(u==par[u])return u;
return par[u]=getRoot(par[u]);
}
void join(int u,int v)
{
if(sz[u]>sz[v])
{
sz[u]+=sz[v];
par[v]=u;
}
else
{
sz[v]+=sz[u];
par[u]=v;
}
}
void add_edge(edge eksdi)
{
int u=getRoot(eksdi.u);
int v=getRoot(eksdi.v);
if(u!=v)join(u,v);
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin>>n>>m;
for(int i=0;i<m;++i)
{
int w;
cin>>e[i].u>>e[i].v>>w;
g[e[i].u].push_back({e[i].v,w});
g[e[i].v].push_back({e[i].u,w});
}
for(int i=1;i<=n;++i)
{
d[i]=INF;
}
cin>>k;
for(int i=1;i<=k;++i)
{
int x;
cin>>x;
q.push_back(x);
}
dijkstra();
for(int i=0;i<m;++i)
{
e[i].w=min(d[e[i].v],d[e[i].u]);
}
sort(e,e+m);
cin>>k;
for(int i=1;i<=k;++i)
{
l[i]=0;r[i]=m-1;
cin>>s[i]>>t[i];
}
for(int step=0;step<20;++step)
{
for(int i=1;i<=k;++i)
{
if(l[i]==r[i])continue;
int mid=(l[i]+r[i])/2;
to_check[mid].emplace_back(i);
}
for(int i=1;i<=n;++i)
{
par[i]=i;sz[i]=1;
}
for(int i=0;i<m;++i)
{
add_edge(e[i]);
for(auto xd:to_check[i])
{
int u=getRoot(s[xd]);
int v=getRoot(t[xd]);
if(u==v)r[xd]=i;
else l[xd]=i+1;
}
to_check[i].clear();
}
}
for(int i=1;i<=k;++i)
{
cout<<e[l[i]].w<<"\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 |
11 ms |
14444 KB |
Output is correct |
2 |
Correct |
16 ms |
14572 KB |
Output is correct |
3 |
Correct |
10 ms |
14572 KB |
Output is correct |
4 |
Correct |
11 ms |
14444 KB |
Output is correct |
5 |
Correct |
11 ms |
14572 KB |
Output is correct |
6 |
Correct |
12 ms |
14572 KB |
Output is correct |
7 |
Correct |
11 ms |
14444 KB |
Output is correct |
8 |
Correct |
10 ms |
14444 KB |
Output is correct |
9 |
Correct |
10 ms |
14572 KB |
Output is correct |
10 |
Correct |
11 ms |
14572 KB |
Output is correct |
11 |
Correct |
10 ms |
14572 KB |
Output is correct |
12 |
Correct |
13 ms |
14572 KB |
Output is correct |
13 |
Correct |
11 ms |
14572 KB |
Output is correct |
14 |
Correct |
13 ms |
14572 KB |
Output is correct |
15 |
Correct |
13 ms |
14572 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
14444 KB |
Output is correct |
2 |
Correct |
16 ms |
14572 KB |
Output is correct |
3 |
Correct |
10 ms |
14572 KB |
Output is correct |
4 |
Correct |
11 ms |
14444 KB |
Output is correct |
5 |
Correct |
11 ms |
14572 KB |
Output is correct |
6 |
Correct |
12 ms |
14572 KB |
Output is correct |
7 |
Correct |
11 ms |
14444 KB |
Output is correct |
8 |
Correct |
10 ms |
14444 KB |
Output is correct |
9 |
Correct |
10 ms |
14572 KB |
Output is correct |
10 |
Correct |
11 ms |
14572 KB |
Output is correct |
11 |
Correct |
10 ms |
14572 KB |
Output is correct |
12 |
Correct |
13 ms |
14572 KB |
Output is correct |
13 |
Correct |
11 ms |
14572 KB |
Output is correct |
14 |
Correct |
13 ms |
14572 KB |
Output is correct |
15 |
Correct |
13 ms |
14572 KB |
Output is correct |
16 |
Correct |
312 ms |
31928 KB |
Output is correct |
17 |
Correct |
845 ms |
48552 KB |
Output is correct |
18 |
Correct |
58 ms |
17680 KB |
Output is correct |
19 |
Correct |
299 ms |
32976 KB |
Output is correct |
20 |
Correct |
833 ms |
48712 KB |
Output is correct |
21 |
Correct |
490 ms |
37300 KB |
Output is correct |
22 |
Correct |
258 ms |
32612 KB |
Output is correct |
23 |
Correct |
871 ms |
48592 KB |
Output is correct |
24 |
Correct |
847 ms |
48532 KB |
Output is correct |
25 |
Correct |
849 ms |
48408 KB |
Output is correct |
26 |
Correct |
293 ms |
32728 KB |
Output is correct |
27 |
Correct |
292 ms |
32720 KB |
Output is correct |
28 |
Correct |
297 ms |
32720 KB |
Output is correct |
29 |
Correct |
284 ms |
32820 KB |
Output is correct |
30 |
Correct |
289 ms |
32952 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
14444 KB |
Output is correct |
2 |
Correct |
9 ms |
14444 KB |
Output is correct |
3 |
Correct |
12 ms |
14444 KB |
Output is correct |
4 |
Correct |
10 ms |
14444 KB |
Output is correct |
5 |
Correct |
10 ms |
14444 KB |
Output is correct |
6 |
Correct |
10 ms |
14444 KB |
Output is correct |
7 |
Correct |
12 ms |
14496 KB |
Output is correct |
8 |
Correct |
9 ms |
14592 KB |
Output is correct |
9 |
Correct |
9 ms |
14444 KB |
Output is correct |
10 |
Correct |
11 ms |
14444 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
313 ms |
24816 KB |
Output is correct |
2 |
Correct |
628 ms |
36072 KB |
Output is correct |
3 |
Correct |
652 ms |
36072 KB |
Output is correct |
4 |
Correct |
120 ms |
20076 KB |
Output is correct |
5 |
Correct |
608 ms |
36012 KB |
Output is correct |
6 |
Correct |
671 ms |
35984 KB |
Output is correct |
7 |
Correct |
639 ms |
36072 KB |
Output is correct |
8 |
Correct |
610 ms |
36012 KB |
Output is correct |
9 |
Correct |
746 ms |
35952 KB |
Output is correct |
10 |
Correct |
637 ms |
36164 KB |
Output is correct |
11 |
Correct |
687 ms |
36068 KB |
Output is correct |
12 |
Correct |
601 ms |
35948 KB |
Output is correct |
13 |
Correct |
610 ms |
35996 KB |
Output is correct |
14 |
Correct |
625 ms |
36104 KB |
Output is correct |
15 |
Correct |
597 ms |
37088 KB |
Output is correct |
16 |
Correct |
641 ms |
35984 KB |
Output is correct |
17 |
Correct |
596 ms |
35944 KB |
Output is correct |
18 |
Correct |
617 ms |
36200 KB |
Output is correct |
19 |
Correct |
118 ms |
20076 KB |
Output is correct |
20 |
Correct |
663 ms |
36072 KB |
Output is correct |
21 |
Correct |
592 ms |
36200 KB |
Output is correct |
22 |
Correct |
152 ms |
21472 KB |
Output is correct |
23 |
Correct |
151 ms |
20588 KB |
Output is correct |
24 |
Correct |
167 ms |
21600 KB |
Output is correct |
25 |
Correct |
133 ms |
21472 KB |
Output is correct |
26 |
Correct |
161 ms |
20776 KB |
Output is correct |
27 |
Correct |
146 ms |
20076 KB |
Output is correct |
28 |
Correct |
144 ms |
21600 KB |
Output is correct |
29 |
Correct |
118 ms |
20064 KB |
Output is correct |
30 |
Correct |
161 ms |
21728 KB |
Output is correct |
31 |
Correct |
119 ms |
20076 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
14444 KB |
Output is correct |
2 |
Correct |
16 ms |
14572 KB |
Output is correct |
3 |
Correct |
10 ms |
14572 KB |
Output is correct |
4 |
Correct |
11 ms |
14444 KB |
Output is correct |
5 |
Correct |
11 ms |
14572 KB |
Output is correct |
6 |
Correct |
12 ms |
14572 KB |
Output is correct |
7 |
Correct |
11 ms |
14444 KB |
Output is correct |
8 |
Correct |
10 ms |
14444 KB |
Output is correct |
9 |
Correct |
10 ms |
14572 KB |
Output is correct |
10 |
Correct |
11 ms |
14572 KB |
Output is correct |
11 |
Correct |
10 ms |
14572 KB |
Output is correct |
12 |
Correct |
13 ms |
14572 KB |
Output is correct |
13 |
Correct |
11 ms |
14572 KB |
Output is correct |
14 |
Correct |
13 ms |
14572 KB |
Output is correct |
15 |
Correct |
13 ms |
14572 KB |
Output is correct |
16 |
Correct |
312 ms |
31928 KB |
Output is correct |
17 |
Correct |
845 ms |
48552 KB |
Output is correct |
18 |
Correct |
58 ms |
17680 KB |
Output is correct |
19 |
Correct |
299 ms |
32976 KB |
Output is correct |
20 |
Correct |
833 ms |
48712 KB |
Output is correct |
21 |
Correct |
490 ms |
37300 KB |
Output is correct |
22 |
Correct |
258 ms |
32612 KB |
Output is correct |
23 |
Correct |
871 ms |
48592 KB |
Output is correct |
24 |
Correct |
847 ms |
48532 KB |
Output is correct |
25 |
Correct |
849 ms |
48408 KB |
Output is correct |
26 |
Correct |
293 ms |
32728 KB |
Output is correct |
27 |
Correct |
292 ms |
32720 KB |
Output is correct |
28 |
Correct |
297 ms |
32720 KB |
Output is correct |
29 |
Correct |
284 ms |
32820 KB |
Output is correct |
30 |
Correct |
289 ms |
32952 KB |
Output is correct |
31 |
Correct |
10 ms |
14444 KB |
Output is correct |
32 |
Correct |
9 ms |
14444 KB |
Output is correct |
33 |
Correct |
12 ms |
14444 KB |
Output is correct |
34 |
Correct |
10 ms |
14444 KB |
Output is correct |
35 |
Correct |
10 ms |
14444 KB |
Output is correct |
36 |
Correct |
10 ms |
14444 KB |
Output is correct |
37 |
Correct |
12 ms |
14496 KB |
Output is correct |
38 |
Correct |
9 ms |
14592 KB |
Output is correct |
39 |
Correct |
9 ms |
14444 KB |
Output is correct |
40 |
Correct |
11 ms |
14444 KB |
Output is correct |
41 |
Correct |
313 ms |
24816 KB |
Output is correct |
42 |
Correct |
628 ms |
36072 KB |
Output is correct |
43 |
Correct |
652 ms |
36072 KB |
Output is correct |
44 |
Correct |
120 ms |
20076 KB |
Output is correct |
45 |
Correct |
608 ms |
36012 KB |
Output is correct |
46 |
Correct |
671 ms |
35984 KB |
Output is correct |
47 |
Correct |
639 ms |
36072 KB |
Output is correct |
48 |
Correct |
610 ms |
36012 KB |
Output is correct |
49 |
Correct |
746 ms |
35952 KB |
Output is correct |
50 |
Correct |
637 ms |
36164 KB |
Output is correct |
51 |
Correct |
687 ms |
36068 KB |
Output is correct |
52 |
Correct |
601 ms |
35948 KB |
Output is correct |
53 |
Correct |
610 ms |
35996 KB |
Output is correct |
54 |
Correct |
625 ms |
36104 KB |
Output is correct |
55 |
Correct |
597 ms |
37088 KB |
Output is correct |
56 |
Correct |
641 ms |
35984 KB |
Output is correct |
57 |
Correct |
596 ms |
35944 KB |
Output is correct |
58 |
Correct |
617 ms |
36200 KB |
Output is correct |
59 |
Correct |
118 ms |
20076 KB |
Output is correct |
60 |
Correct |
663 ms |
36072 KB |
Output is correct |
61 |
Correct |
592 ms |
36200 KB |
Output is correct |
62 |
Correct |
152 ms |
21472 KB |
Output is correct |
63 |
Correct |
151 ms |
20588 KB |
Output is correct |
64 |
Correct |
167 ms |
21600 KB |
Output is correct |
65 |
Correct |
133 ms |
21472 KB |
Output is correct |
66 |
Correct |
161 ms |
20776 KB |
Output is correct |
67 |
Correct |
146 ms |
20076 KB |
Output is correct |
68 |
Correct |
144 ms |
21600 KB |
Output is correct |
69 |
Correct |
118 ms |
20064 KB |
Output is correct |
70 |
Correct |
161 ms |
21728 KB |
Output is correct |
71 |
Correct |
119 ms |
20076 KB |
Output is correct |
72 |
Correct |
482 ms |
36788 KB |
Output is correct |
73 |
Correct |
853 ms |
48536 KB |
Output is correct |
74 |
Correct |
865 ms |
48648 KB |
Output is correct |
75 |
Correct |
842 ms |
48516 KB |
Output is correct |
76 |
Correct |
845 ms |
48568 KB |
Output is correct |
77 |
Correct |
854 ms |
48556 KB |
Output is correct |
78 |
Correct |
815 ms |
48392 KB |
Output is correct |
79 |
Correct |
838 ms |
48516 KB |
Output is correct |
80 |
Correct |
849 ms |
48516 KB |
Output is correct |
81 |
Correct |
829 ms |
48516 KB |
Output is correct |
82 |
Correct |
818 ms |
48520 KB |
Output is correct |
83 |
Correct |
824 ms |
48604 KB |
Output is correct |
84 |
Correct |
834 ms |
48444 KB |
Output is correct |
85 |
Correct |
834 ms |
48416 KB |
Output is correct |
86 |
Correct |
822 ms |
48520 KB |
Output is correct |
87 |
Correct |
831 ms |
48520 KB |
Output is correct |
88 |
Correct |
816 ms |
48648 KB |
Output is correct |
89 |
Correct |
254 ms |
32868 KB |
Output is correct |
90 |
Correct |
827 ms |
48520 KB |
Output is correct |
91 |
Correct |
765 ms |
48044 KB |
Output is correct |
92 |
Correct |
271 ms |
32964 KB |
Output is correct |
93 |
Correct |
264 ms |
31332 KB |
Output is correct |
94 |
Correct |
271 ms |
32728 KB |
Output is correct |
95 |
Correct |
275 ms |
32976 KB |
Output is correct |
96 |
Correct |
277 ms |
29596 KB |
Output is correct |
97 |
Correct |
231 ms |
31076 KB |
Output is correct |
98 |
Correct |
279 ms |
32860 KB |
Output is correct |
99 |
Correct |
228 ms |
31076 KB |
Output is correct |
100 |
Correct |
284 ms |
32960 KB |
Output is correct |