#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define fr first
#define sc second
#define clr(a, x) memset(a, x, sizeof(a))
#define dbg(x) cout<<"("<<#x<<"): "<<x<<endl;
#define printvector(arr) for (auto it = arr.begin(); it != arr.end(); ++it) cout<<*it<<" "; cout<<endl;
#define all(v) v.begin(), v.end()
#define lcm(a, b) (a * b)/__gcd(a, b)
#define printvecpairs(vec) for(auto it: vec) cout<<it.fr<<' '<<it.sc<<endl;
#define endl '\n'
#define pii pair<int, int>
#define float long double
const int MOD = 1e9 + 7;
const int INF = 2e15;
const int MAXN = 1e5 + 5;
int n, m, k, l;
vector<pii> adj[MAXN];
vector<int> mst[MAXN];
int dist[MAXN], b[MAXN], up[MAXN][100], tout[MAXN], tin[MAXN], upmn[MAXN][100], depth[MAXN];
int timer = 0;
void dfs(int v, int p, int d = 0){
timer++;
tin[v] = timer;
up[v][0] = p;
upmn[v][0] = min(dist[v], dist[p]);
for(int i=1;i<=l;i++){
up[v][i] = up[up[v][i-1]][i-1];
upmn[v][i] = min(upmn[up[v][i-1]][i-1], upmn[v][i-1]);
}
depth[v] = d;
for(int u: mst[v]){
if(u != p){
dfs(u, v, d+1);
}
}
timer++;
tout[v] = timer;
}
bool isanc(int a, int b){
return tin[a] <= tin[b] && tout[a] >= tout[b];
}
int lca(int u, int v){
if(isanc(u, v)) return u;
if(isanc(v, u)) return v;
for(int i = l;i >= 0;i--){
if(!isanc(up[u][i], v)){
u = up[u][i];
}
}
return up[u][0];
}
int getmn(int u, int kx){
int ans = dist[u];
for(int i= 0;i<=l;i++){
if(kx & (1<<i)){
ans = min(ans, upmn[u][i]);
u = up[u][i];
}
}
return ans;
}
void dstra(){
for(int i=1;i<=n;i++){
dist[i] = INF;
}
priority_queue<pii> pq;
for(int j= 1;j<=k;j++){
dist[b[j]] = 0;
pq.push({0, b[j]});
}
while(!pq.empty()){
int u = pq.top().sc;
pq.pop();
for(auto e: adj[u]){
int w = e.sc, v = e.fr;
if(dist[u]+w < dist[v]){
dist[v] = dist[u] + w;
pq.push({-dist[v], v});
}
}
}
}
int parent[MAXN] = {-1};
void init(){
for(int i= 1;i<=n;i++) parent[i] = i;
timer = 0;
clr(tout, 0);
clr(tin, 0);
l = ceil(log2(n));
clr(up, 0);
}
int find_set(int s){
if(s == parent[s]){
return s;
}
return parent[s] = find_set(parent[s]);
}
bool union_sets(int a, int b){
a = find_set(a);
b = find_set(b);
if(a != b){
parent[b] = a;
return true;
} else {
return false;
}
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
#ifdef LOCAL
freopen("input.txt", "r", stdin);
#endif
cin>>n>>m;
vector<pii> edges;
for(int i=0;i<m;i++){
int u, v, w;
cin>>u>>v>>w;
adj[u].pb({v, w});
adj[v].pb({u, w});
edges.pb({u, v});
}
cin>>k;
for(int i= 1;i<=k;i++){
cin>>b[i];
}
dstra();
init();
vector<pair<int, pii>> wedges;
for(auto edge: edges){
wedges.pb({min(dist[edge.fr], dist[edge.sc]), {edge}});
}
sort(all(wedges));
reverse(all(wedges));
for(auto edge: wedges){
int u = edge.sc.fr, v = edge.sc.sc;
if(union_sets(u, v)){
mst[v].pb(u);
mst[u].pb(v);
}
}
dfs(1, 1);
int q;
cin>>q;
while(q--){
int u, v;
cin>>u>>v;
int lc = lca(u, v);
int du = depth[u]-depth[lc];
int dv = depth[v]-depth[lc];
cout<<min(getmn(u, du), getmn(v, dv))<<endl;
}
return 0;
}
Compilation message
plan.cpp:18:17: warning: overflow in conversion from 'double' to 'int' changes value from '2.0e+15' to '2147483647' [-Woverflow]
18 | const int INF = 2e15;
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
44904 KB |
Output is correct |
2 |
Correct |
24 ms |
45460 KB |
Output is correct |
3 |
Correct |
23 ms |
45416 KB |
Output is correct |
4 |
Correct |
22 ms |
44880 KB |
Output is correct |
5 |
Correct |
24 ms |
45504 KB |
Output is correct |
6 |
Correct |
23 ms |
45388 KB |
Output is correct |
7 |
Correct |
22 ms |
44968 KB |
Output is correct |
8 |
Correct |
22 ms |
45004 KB |
Output is correct |
9 |
Correct |
23 ms |
45396 KB |
Output is correct |
10 |
Correct |
24 ms |
45380 KB |
Output is correct |
11 |
Correct |
24 ms |
45488 KB |
Output is correct |
12 |
Correct |
23 ms |
45388 KB |
Output is correct |
13 |
Correct |
24 ms |
45384 KB |
Output is correct |
14 |
Correct |
23 ms |
45388 KB |
Output is correct |
15 |
Correct |
24 ms |
45432 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
44904 KB |
Output is correct |
2 |
Correct |
24 ms |
45460 KB |
Output is correct |
3 |
Correct |
23 ms |
45416 KB |
Output is correct |
4 |
Correct |
22 ms |
44880 KB |
Output is correct |
5 |
Correct |
24 ms |
45504 KB |
Output is correct |
6 |
Correct |
23 ms |
45388 KB |
Output is correct |
7 |
Correct |
22 ms |
44968 KB |
Output is correct |
8 |
Correct |
22 ms |
45004 KB |
Output is correct |
9 |
Correct |
23 ms |
45396 KB |
Output is correct |
10 |
Correct |
24 ms |
45380 KB |
Output is correct |
11 |
Correct |
24 ms |
45488 KB |
Output is correct |
12 |
Correct |
23 ms |
45388 KB |
Output is correct |
13 |
Correct |
24 ms |
45384 KB |
Output is correct |
14 |
Correct |
23 ms |
45388 KB |
Output is correct |
15 |
Correct |
24 ms |
45432 KB |
Output is correct |
16 |
Correct |
237 ms |
87236 KB |
Output is correct |
17 |
Correct |
721 ms |
119332 KB |
Output is correct |
18 |
Correct |
63 ms |
53048 KB |
Output is correct |
19 |
Correct |
197 ms |
97924 KB |
Output is correct |
20 |
Correct |
703 ms |
119256 KB |
Output is correct |
21 |
Correct |
394 ms |
103308 KB |
Output is correct |
22 |
Correct |
257 ms |
103384 KB |
Output is correct |
23 |
Correct |
722 ms |
118808 KB |
Output is correct |
24 |
Correct |
717 ms |
119032 KB |
Output is correct |
25 |
Correct |
723 ms |
118612 KB |
Output is correct |
26 |
Correct |
202 ms |
97824 KB |
Output is correct |
27 |
Correct |
202 ms |
97968 KB |
Output is correct |
28 |
Correct |
198 ms |
97644 KB |
Output is correct |
29 |
Correct |
202 ms |
97812 KB |
Output is correct |
30 |
Correct |
197 ms |
98068 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
23 ms |
44996 KB |
Output is correct |
2 |
Correct |
22 ms |
44876 KB |
Output is correct |
3 |
Correct |
21 ms |
44876 KB |
Output is correct |
4 |
Correct |
22 ms |
44876 KB |
Output is correct |
5 |
Correct |
22 ms |
44920 KB |
Output is correct |
6 |
Correct |
21 ms |
44864 KB |
Output is correct |
7 |
Correct |
22 ms |
44900 KB |
Output is correct |
8 |
Correct |
22 ms |
44932 KB |
Output is correct |
9 |
Correct |
21 ms |
44876 KB |
Output is correct |
10 |
Correct |
22 ms |
44868 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
331 ms |
101272 KB |
Output is correct |
2 |
Correct |
610 ms |
117840 KB |
Output is correct |
3 |
Correct |
603 ms |
117660 KB |
Output is correct |
4 |
Correct |
192 ms |
98868 KB |
Output is correct |
5 |
Correct |
585 ms |
117512 KB |
Output is correct |
6 |
Correct |
579 ms |
117436 KB |
Output is correct |
7 |
Correct |
608 ms |
117420 KB |
Output is correct |
8 |
Correct |
611 ms |
117172 KB |
Output is correct |
9 |
Correct |
603 ms |
117184 KB |
Output is correct |
10 |
Correct |
602 ms |
117276 KB |
Output is correct |
11 |
Correct |
597 ms |
117124 KB |
Output is correct |
12 |
Correct |
610 ms |
116760 KB |
Output is correct |
13 |
Correct |
608 ms |
116660 KB |
Output is correct |
14 |
Correct |
574 ms |
116648 KB |
Output is correct |
15 |
Correct |
582 ms |
116548 KB |
Output is correct |
16 |
Correct |
594 ms |
116508 KB |
Output is correct |
17 |
Correct |
604 ms |
116380 KB |
Output is correct |
18 |
Correct |
598 ms |
116232 KB |
Output is correct |
19 |
Correct |
210 ms |
101036 KB |
Output is correct |
20 |
Correct |
588 ms |
116220 KB |
Output is correct |
21 |
Correct |
560 ms |
116252 KB |
Output is correct |
22 |
Correct |
149 ms |
96288 KB |
Output is correct |
23 |
Correct |
169 ms |
96312 KB |
Output is correct |
24 |
Correct |
143 ms |
96296 KB |
Output is correct |
25 |
Correct |
147 ms |
96272 KB |
Output is correct |
26 |
Correct |
193 ms |
96808 KB |
Output is correct |
27 |
Correct |
204 ms |
100764 KB |
Output is correct |
28 |
Correct |
146 ms |
96288 KB |
Output is correct |
29 |
Correct |
205 ms |
99780 KB |
Output is correct |
30 |
Correct |
147 ms |
96252 KB |
Output is correct |
31 |
Correct |
201 ms |
99840 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
22 ms |
44904 KB |
Output is correct |
2 |
Correct |
24 ms |
45460 KB |
Output is correct |
3 |
Correct |
23 ms |
45416 KB |
Output is correct |
4 |
Correct |
22 ms |
44880 KB |
Output is correct |
5 |
Correct |
24 ms |
45504 KB |
Output is correct |
6 |
Correct |
23 ms |
45388 KB |
Output is correct |
7 |
Correct |
22 ms |
44968 KB |
Output is correct |
8 |
Correct |
22 ms |
45004 KB |
Output is correct |
9 |
Correct |
23 ms |
45396 KB |
Output is correct |
10 |
Correct |
24 ms |
45380 KB |
Output is correct |
11 |
Correct |
24 ms |
45488 KB |
Output is correct |
12 |
Correct |
23 ms |
45388 KB |
Output is correct |
13 |
Correct |
24 ms |
45384 KB |
Output is correct |
14 |
Correct |
23 ms |
45388 KB |
Output is correct |
15 |
Correct |
24 ms |
45432 KB |
Output is correct |
16 |
Correct |
237 ms |
87236 KB |
Output is correct |
17 |
Correct |
721 ms |
119332 KB |
Output is correct |
18 |
Correct |
63 ms |
53048 KB |
Output is correct |
19 |
Correct |
197 ms |
97924 KB |
Output is correct |
20 |
Correct |
703 ms |
119256 KB |
Output is correct |
21 |
Correct |
394 ms |
103308 KB |
Output is correct |
22 |
Correct |
257 ms |
103384 KB |
Output is correct |
23 |
Correct |
722 ms |
118808 KB |
Output is correct |
24 |
Correct |
717 ms |
119032 KB |
Output is correct |
25 |
Correct |
723 ms |
118612 KB |
Output is correct |
26 |
Correct |
202 ms |
97824 KB |
Output is correct |
27 |
Correct |
202 ms |
97968 KB |
Output is correct |
28 |
Correct |
198 ms |
97644 KB |
Output is correct |
29 |
Correct |
202 ms |
97812 KB |
Output is correct |
30 |
Correct |
197 ms |
98068 KB |
Output is correct |
31 |
Correct |
23 ms |
44996 KB |
Output is correct |
32 |
Correct |
22 ms |
44876 KB |
Output is correct |
33 |
Correct |
21 ms |
44876 KB |
Output is correct |
34 |
Correct |
22 ms |
44876 KB |
Output is correct |
35 |
Correct |
22 ms |
44920 KB |
Output is correct |
36 |
Correct |
21 ms |
44864 KB |
Output is correct |
37 |
Correct |
22 ms |
44900 KB |
Output is correct |
38 |
Correct |
22 ms |
44932 KB |
Output is correct |
39 |
Correct |
21 ms |
44876 KB |
Output is correct |
40 |
Correct |
22 ms |
44868 KB |
Output is correct |
41 |
Correct |
331 ms |
101272 KB |
Output is correct |
42 |
Correct |
610 ms |
117840 KB |
Output is correct |
43 |
Correct |
603 ms |
117660 KB |
Output is correct |
44 |
Correct |
192 ms |
98868 KB |
Output is correct |
45 |
Correct |
585 ms |
117512 KB |
Output is correct |
46 |
Correct |
579 ms |
117436 KB |
Output is correct |
47 |
Correct |
608 ms |
117420 KB |
Output is correct |
48 |
Correct |
611 ms |
117172 KB |
Output is correct |
49 |
Correct |
603 ms |
117184 KB |
Output is correct |
50 |
Correct |
602 ms |
117276 KB |
Output is correct |
51 |
Correct |
597 ms |
117124 KB |
Output is correct |
52 |
Correct |
610 ms |
116760 KB |
Output is correct |
53 |
Correct |
608 ms |
116660 KB |
Output is correct |
54 |
Correct |
574 ms |
116648 KB |
Output is correct |
55 |
Correct |
582 ms |
116548 KB |
Output is correct |
56 |
Correct |
594 ms |
116508 KB |
Output is correct |
57 |
Correct |
604 ms |
116380 KB |
Output is correct |
58 |
Correct |
598 ms |
116232 KB |
Output is correct |
59 |
Correct |
210 ms |
101036 KB |
Output is correct |
60 |
Correct |
588 ms |
116220 KB |
Output is correct |
61 |
Correct |
560 ms |
116252 KB |
Output is correct |
62 |
Correct |
149 ms |
96288 KB |
Output is correct |
63 |
Correct |
169 ms |
96312 KB |
Output is correct |
64 |
Correct |
143 ms |
96296 KB |
Output is correct |
65 |
Correct |
147 ms |
96272 KB |
Output is correct |
66 |
Correct |
193 ms |
96808 KB |
Output is correct |
67 |
Correct |
204 ms |
100764 KB |
Output is correct |
68 |
Correct |
146 ms |
96288 KB |
Output is correct |
69 |
Correct |
205 ms |
99780 KB |
Output is correct |
70 |
Correct |
147 ms |
96252 KB |
Output is correct |
71 |
Correct |
201 ms |
99840 KB |
Output is correct |
72 |
Correct |
436 ms |
102468 KB |
Output is correct |
73 |
Correct |
739 ms |
116112 KB |
Output is correct |
74 |
Correct |
707 ms |
116120 KB |
Output is correct |
75 |
Correct |
713 ms |
115988 KB |
Output is correct |
76 |
Correct |
707 ms |
115764 KB |
Output is correct |
77 |
Correct |
719 ms |
115720 KB |
Output is correct |
78 |
Correct |
712 ms |
115488 KB |
Output is correct |
79 |
Correct |
722 ms |
115436 KB |
Output is correct |
80 |
Correct |
713 ms |
115356 KB |
Output is correct |
81 |
Correct |
727 ms |
115064 KB |
Output is correct |
82 |
Correct |
708 ms |
114992 KB |
Output is correct |
83 |
Correct |
700 ms |
114928 KB |
Output is correct |
84 |
Correct |
700 ms |
114852 KB |
Output is correct |
85 |
Correct |
729 ms |
114564 KB |
Output is correct |
86 |
Correct |
734 ms |
114468 KB |
Output is correct |
87 |
Correct |
712 ms |
114332 KB |
Output is correct |
88 |
Correct |
726 ms |
114192 KB |
Output is correct |
89 |
Correct |
351 ms |
100628 KB |
Output is correct |
90 |
Correct |
702 ms |
113964 KB |
Output is correct |
91 |
Correct |
696 ms |
113904 KB |
Output is correct |
92 |
Correct |
232 ms |
96220 KB |
Output is correct |
93 |
Correct |
323 ms |
96908 KB |
Output is correct |
94 |
Correct |
234 ms |
96128 KB |
Output is correct |
95 |
Correct |
229 ms |
96280 KB |
Output is correct |
96 |
Correct |
323 ms |
96284 KB |
Output is correct |
97 |
Correct |
374 ms |
99432 KB |
Output is correct |
98 |
Correct |
225 ms |
96188 KB |
Output is correct |
99 |
Correct |
352 ms |
101020 KB |
Output is correct |
100 |
Correct |
231 ms |
96248 KB |
Output is correct |