#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define int ll
int n,m,k,q,curr;
vector<vector<int>> roads[100005];
int best[100005];
bool check[100005];
int ans[100005];
//
int root[100005];
set<int> vals[100005];
int findroot(int x){
if(root[x]!=x){
root[x] = findroot(root[x]);
}
return root[x];
}
void domerge(int x, int y){
x = findroot(x);
y = findroot(y);
if(x==y){
return;
}
if(vals[x].size()>vals[y].size()){
swap(x,y);
}
for(int i:vals[x]){
if(vals[y].find(i)!=vals[y].end()){
ans[i] = curr;
vals[y].erase(i);
}
else{
vals[y].insert(i);
}
}
vals[x].clear();
root[x] = y;
}
signed main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> n >> m;
for(int i=1;i<=n;i++){
best[i] = 2e9;
root[i] = i;
}
for(int i=1;i<=m;i++){
int a,b,c;
cin >> a >> b >> c;
roads[a].push_back({b,c});
roads[b].push_back({a,c});
}
priority_queue<vector<int>,vector<vector<int>>,greater<vector<int>>> pq;
cin >> k;
for(int i=1;i<=k;i++){
int a;
cin >> a;
best[a] = 0;
pq.push({0,a});
}
while(pq.size()>0){
while(pq.size()>0 and check[pq.top()[1]]){
pq.pop();
}
if(pq.size()==0){
break;
}
int x = pq.top()[1];
check[x] = true;
pq.pop();
for(vector<int> i:roads[x]){
if(best[i[0]]>best[x]+i[1]){
best[i[0]] = best[x]+i[1];
pq.push({best[i[0]],i[0]});
}
}
}
vector<vector<int>> ord;
for(int i=1;i<=n;i++){
ord.push_back({best[i],i});
}
sort(ord.begin(),ord.end(),greater<vector<int>>());
cin >> q;
for(int i=1;i<=q;i++){
int a,b;
cin >> a >> b;
vals[a].insert(i);
vals[b].insert(i);
}
for(vector<int> i:ord){
curr = i[0];
for(vector<int> j:roads[i[1]]){
if(best[j[0]]>=curr){
domerge(i[1],j[0]);
}
}
}
for(int i=1;i<=q;i++){
cout << ans[i] << "\n";
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7652 KB |
Output is correct |
3 |
Correct |
5 ms |
7644 KB |
Output is correct |
4 |
Correct |
3 ms |
7372 KB |
Output is correct |
5 |
Correct |
5 ms |
7636 KB |
Output is correct |
6 |
Correct |
4 ms |
7648 KB |
Output is correct |
7 |
Correct |
3 ms |
7380 KB |
Output is correct |
8 |
Correct |
4 ms |
7380 KB |
Output is correct |
9 |
Correct |
4 ms |
7636 KB |
Output is correct |
10 |
Correct |
5 ms |
7644 KB |
Output is correct |
11 |
Correct |
5 ms |
7636 KB |
Output is correct |
12 |
Correct |
5 ms |
7648 KB |
Output is correct |
13 |
Correct |
5 ms |
7644 KB |
Output is correct |
14 |
Correct |
4 ms |
7636 KB |
Output is correct |
15 |
Correct |
4 ms |
7644 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7652 KB |
Output is correct |
3 |
Correct |
5 ms |
7644 KB |
Output is correct |
4 |
Correct |
3 ms |
7372 KB |
Output is correct |
5 |
Correct |
5 ms |
7636 KB |
Output is correct |
6 |
Correct |
4 ms |
7648 KB |
Output is correct |
7 |
Correct |
3 ms |
7380 KB |
Output is correct |
8 |
Correct |
4 ms |
7380 KB |
Output is correct |
9 |
Correct |
4 ms |
7636 KB |
Output is correct |
10 |
Correct |
5 ms |
7644 KB |
Output is correct |
11 |
Correct |
5 ms |
7636 KB |
Output is correct |
12 |
Correct |
5 ms |
7648 KB |
Output is correct |
13 |
Correct |
5 ms |
7644 KB |
Output is correct |
14 |
Correct |
4 ms |
7636 KB |
Output is correct |
15 |
Correct |
4 ms |
7644 KB |
Output is correct |
16 |
Correct |
286 ms |
39764 KB |
Output is correct |
17 |
Correct |
1068 ms |
103452 KB |
Output is correct |
18 |
Correct |
42 ms |
15680 KB |
Output is correct |
19 |
Correct |
263 ms |
42160 KB |
Output is correct |
20 |
Correct |
1066 ms |
103476 KB |
Output is correct |
21 |
Correct |
446 ms |
57164 KB |
Output is correct |
22 |
Correct |
158 ms |
40976 KB |
Output is correct |
23 |
Correct |
1077 ms |
103364 KB |
Output is correct |
24 |
Correct |
1106 ms |
103468 KB |
Output is correct |
25 |
Correct |
950 ms |
103620 KB |
Output is correct |
26 |
Correct |
251 ms |
41904 KB |
Output is correct |
27 |
Correct |
247 ms |
41992 KB |
Output is correct |
28 |
Correct |
242 ms |
41848 KB |
Output is correct |
29 |
Correct |
253 ms |
41952 KB |
Output is correct |
30 |
Correct |
258 ms |
42044 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7380 KB |
Output is correct |
3 |
Correct |
3 ms |
7380 KB |
Output is correct |
4 |
Correct |
4 ms |
7380 KB |
Output is correct |
5 |
Correct |
3 ms |
7380 KB |
Output is correct |
6 |
Correct |
3 ms |
7380 KB |
Output is correct |
7 |
Correct |
3 ms |
7380 KB |
Output is correct |
8 |
Correct |
3 ms |
7380 KB |
Output is correct |
9 |
Correct |
4 ms |
7380 KB |
Output is correct |
10 |
Correct |
4 ms |
7380 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
335 ms |
45372 KB |
Output is correct |
2 |
Correct |
740 ms |
94552 KB |
Output is correct |
3 |
Correct |
811 ms |
95156 KB |
Output is correct |
4 |
Correct |
109 ms |
28560 KB |
Output is correct |
5 |
Correct |
865 ms |
95112 KB |
Output is correct |
6 |
Correct |
895 ms |
94844 KB |
Output is correct |
7 |
Correct |
961 ms |
95168 KB |
Output is correct |
8 |
Correct |
889 ms |
94940 KB |
Output is correct |
9 |
Correct |
880 ms |
95052 KB |
Output is correct |
10 |
Correct |
940 ms |
95124 KB |
Output is correct |
11 |
Correct |
774 ms |
95100 KB |
Output is correct |
12 |
Correct |
847 ms |
94692 KB |
Output is correct |
13 |
Correct |
865 ms |
94944 KB |
Output is correct |
14 |
Correct |
896 ms |
94860 KB |
Output is correct |
15 |
Correct |
880 ms |
95104 KB |
Output is correct |
16 |
Correct |
868 ms |
95172 KB |
Output is correct |
17 |
Correct |
765 ms |
94952 KB |
Output is correct |
18 |
Correct |
875 ms |
95044 KB |
Output is correct |
19 |
Correct |
98 ms |
28616 KB |
Output is correct |
20 |
Correct |
849 ms |
95080 KB |
Output is correct |
21 |
Correct |
813 ms |
93204 KB |
Output is correct |
22 |
Correct |
152 ms |
32976 KB |
Output is correct |
23 |
Correct |
153 ms |
28920 KB |
Output is correct |
24 |
Correct |
162 ms |
32960 KB |
Output is correct |
25 |
Correct |
154 ms |
32808 KB |
Output is correct |
26 |
Correct |
161 ms |
29076 KB |
Output is correct |
27 |
Correct |
113 ms |
28612 KB |
Output is correct |
28 |
Correct |
148 ms |
32820 KB |
Output is correct |
29 |
Correct |
101 ms |
28668 KB |
Output is correct |
30 |
Correct |
152 ms |
32988 KB |
Output is correct |
31 |
Correct |
104 ms |
28608 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7380 KB |
Output is correct |
2 |
Correct |
4 ms |
7652 KB |
Output is correct |
3 |
Correct |
5 ms |
7644 KB |
Output is correct |
4 |
Correct |
3 ms |
7372 KB |
Output is correct |
5 |
Correct |
5 ms |
7636 KB |
Output is correct |
6 |
Correct |
4 ms |
7648 KB |
Output is correct |
7 |
Correct |
3 ms |
7380 KB |
Output is correct |
8 |
Correct |
4 ms |
7380 KB |
Output is correct |
9 |
Correct |
4 ms |
7636 KB |
Output is correct |
10 |
Correct |
5 ms |
7644 KB |
Output is correct |
11 |
Correct |
5 ms |
7636 KB |
Output is correct |
12 |
Correct |
5 ms |
7648 KB |
Output is correct |
13 |
Correct |
5 ms |
7644 KB |
Output is correct |
14 |
Correct |
4 ms |
7636 KB |
Output is correct |
15 |
Correct |
4 ms |
7644 KB |
Output is correct |
16 |
Correct |
286 ms |
39764 KB |
Output is correct |
17 |
Correct |
1068 ms |
103452 KB |
Output is correct |
18 |
Correct |
42 ms |
15680 KB |
Output is correct |
19 |
Correct |
263 ms |
42160 KB |
Output is correct |
20 |
Correct |
1066 ms |
103476 KB |
Output is correct |
21 |
Correct |
446 ms |
57164 KB |
Output is correct |
22 |
Correct |
158 ms |
40976 KB |
Output is correct |
23 |
Correct |
1077 ms |
103364 KB |
Output is correct |
24 |
Correct |
1106 ms |
103468 KB |
Output is correct |
25 |
Correct |
950 ms |
103620 KB |
Output is correct |
26 |
Correct |
251 ms |
41904 KB |
Output is correct |
27 |
Correct |
247 ms |
41992 KB |
Output is correct |
28 |
Correct |
242 ms |
41848 KB |
Output is correct |
29 |
Correct |
253 ms |
41952 KB |
Output is correct |
30 |
Correct |
258 ms |
42044 KB |
Output is correct |
31 |
Correct |
3 ms |
7380 KB |
Output is correct |
32 |
Correct |
4 ms |
7380 KB |
Output is correct |
33 |
Correct |
3 ms |
7380 KB |
Output is correct |
34 |
Correct |
4 ms |
7380 KB |
Output is correct |
35 |
Correct |
3 ms |
7380 KB |
Output is correct |
36 |
Correct |
3 ms |
7380 KB |
Output is correct |
37 |
Correct |
3 ms |
7380 KB |
Output is correct |
38 |
Correct |
3 ms |
7380 KB |
Output is correct |
39 |
Correct |
4 ms |
7380 KB |
Output is correct |
40 |
Correct |
4 ms |
7380 KB |
Output is correct |
41 |
Correct |
335 ms |
45372 KB |
Output is correct |
42 |
Correct |
740 ms |
94552 KB |
Output is correct |
43 |
Correct |
811 ms |
95156 KB |
Output is correct |
44 |
Correct |
109 ms |
28560 KB |
Output is correct |
45 |
Correct |
865 ms |
95112 KB |
Output is correct |
46 |
Correct |
895 ms |
94844 KB |
Output is correct |
47 |
Correct |
961 ms |
95168 KB |
Output is correct |
48 |
Correct |
889 ms |
94940 KB |
Output is correct |
49 |
Correct |
880 ms |
95052 KB |
Output is correct |
50 |
Correct |
940 ms |
95124 KB |
Output is correct |
51 |
Correct |
774 ms |
95100 KB |
Output is correct |
52 |
Correct |
847 ms |
94692 KB |
Output is correct |
53 |
Correct |
865 ms |
94944 KB |
Output is correct |
54 |
Correct |
896 ms |
94860 KB |
Output is correct |
55 |
Correct |
880 ms |
95104 KB |
Output is correct |
56 |
Correct |
868 ms |
95172 KB |
Output is correct |
57 |
Correct |
765 ms |
94952 KB |
Output is correct |
58 |
Correct |
875 ms |
95044 KB |
Output is correct |
59 |
Correct |
98 ms |
28616 KB |
Output is correct |
60 |
Correct |
849 ms |
95080 KB |
Output is correct |
61 |
Correct |
813 ms |
93204 KB |
Output is correct |
62 |
Correct |
152 ms |
32976 KB |
Output is correct |
63 |
Correct |
153 ms |
28920 KB |
Output is correct |
64 |
Correct |
162 ms |
32960 KB |
Output is correct |
65 |
Correct |
154 ms |
32808 KB |
Output is correct |
66 |
Correct |
161 ms |
29076 KB |
Output is correct |
67 |
Correct |
113 ms |
28612 KB |
Output is correct |
68 |
Correct |
148 ms |
32820 KB |
Output is correct |
69 |
Correct |
101 ms |
28668 KB |
Output is correct |
70 |
Correct |
152 ms |
32988 KB |
Output is correct |
71 |
Correct |
104 ms |
28608 KB |
Output is correct |
72 |
Correct |
484 ms |
56936 KB |
Output is correct |
73 |
Correct |
1012 ms |
103536 KB |
Output is correct |
74 |
Correct |
1014 ms |
103620 KB |
Output is correct |
75 |
Correct |
1046 ms |
103536 KB |
Output is correct |
76 |
Correct |
1014 ms |
103492 KB |
Output is correct |
77 |
Correct |
995 ms |
103608 KB |
Output is correct |
78 |
Correct |
1018 ms |
103588 KB |
Output is correct |
79 |
Correct |
1066 ms |
103504 KB |
Output is correct |
80 |
Correct |
1012 ms |
103544 KB |
Output is correct |
81 |
Correct |
1036 ms |
103444 KB |
Output is correct |
82 |
Correct |
1012 ms |
103428 KB |
Output is correct |
83 |
Correct |
1010 ms |
103556 KB |
Output is correct |
84 |
Correct |
907 ms |
103456 KB |
Output is correct |
85 |
Correct |
1114 ms |
103560 KB |
Output is correct |
86 |
Correct |
922 ms |
103528 KB |
Output is correct |
87 |
Correct |
1029 ms |
103492 KB |
Output is correct |
88 |
Correct |
1061 ms |
103512 KB |
Output is correct |
89 |
Correct |
258 ms |
40872 KB |
Output is correct |
90 |
Correct |
1076 ms |
103492 KB |
Output is correct |
91 |
Correct |
1000 ms |
102900 KB |
Output is correct |
92 |
Correct |
277 ms |
41848 KB |
Output is correct |
93 |
Correct |
403 ms |
41344 KB |
Output is correct |
94 |
Correct |
278 ms |
41796 KB |
Output is correct |
95 |
Correct |
295 ms |
41968 KB |
Output is correct |
96 |
Correct |
371 ms |
40744 KB |
Output is correct |
97 |
Correct |
256 ms |
40596 KB |
Output is correct |
98 |
Correct |
319 ms |
41788 KB |
Output is correct |
99 |
Correct |
257 ms |
40604 KB |
Output is correct |
100 |
Correct |
297 ms |
42024 KB |
Output is correct |