#include<bits/stdc++.h>
#define pii pair<int,int>
#define ll long long
#define pill pair<int,ll>
using namespace std;
const int mxN = 1e5 + 5 , mxLogDepth = 20 , limDepth=17;
struct EDGE {
int u,v;
ll w;
bool operator < (const EDGE &d2) const{
return w > d2.w;
}
};
struct ADJ {
int u;
ll w;
bool operator < (const ADJ &d2) const{
return w > d2.w;
}
};
int n,m,n_npp;
vector<ADJ> adj[mxN];
vector<EDGE> edge_input;
vector<EDGE> edge_new;
vector<ADJ> tree[mxN];
bool npp[mxN];
ll dis[mxN];
int cmp[mxN];
int depth[mxN];
ll dp[mxN][mxLogDepth];
int ancestor[mxN][mxLogDepth];
void dijkstra_npp(){
for(int i=1;i<=n;i++) dis[i] = LLONG_MAX;
priority_queue<ADJ> pq;
for(int i=1;i<=n;i++){
if(npp[i]){
dis[i] = 0;
pq.push({i , dis[i]});
}
}
while(!pq.empty()){
auto [u , w] = pq.top();
pq.pop();
if(dis[u] < w) continue;
for(auto [v , ww] : adj[u]){
if(dis[v] > w + ww){
dis[v] = w + ww;
pq.push({v , dis[v]});
}
}
}
}
int fp(int x){
if(cmp[x] == x) return x;
return cmp[x] = fp(cmp[x]);
}
void dfs(int u , int pa){
for(auto [v , w] : tree[u]){
if(v == pa) continue;
depth[v] = depth[u] + 1;
ancestor[v][0] = u;
dp[v][0] = w;
dfs(v , u);
}
}
void lca(int u, int v){
if(depth[u] > depth[v]) swap(u , v);
int diff = depth[v]- depth[u];
ll ans = min(dis[u] , dis[v]);
for(int k=0;k<=limDepth;k++){
if((1<<k) & diff){
ans = min(ans , dp[v][k]);
v = ancestor[v][k];
}
}
if(u == v){
cout<< ans << '\n';
return ;
}
for(int k=limDepth;k>=0;k--){
if(ancestor[u][k] != ancestor[v][k]){
ans = min({ans , dp[u][k] , dp[v][k]});
u = ancestor[u][k];
v = ancestor[v][k];
}
}
ans = min({ans , dp[u][0] , dp[v][0]});
cout<< ans << '\n';
}
int main(){
cin>> n >> m;
for(int i=0;i<m;i++){
int u,v;
ll w;
cin>> u >> v >> w;
adj[u].push_back({v , w});
adj[v].push_back({u , w});
edge_input.push_back({u , v , w});
}
int n_npp;
cin>> n_npp;
for(int i=1;i<=n;i++) npp[i] = false;
for(int i=0;i<n_npp;i++){
int node;
cin>> node;
npp[node] = true;
}
dijkstra_npp();
for(auto [u,v,w] : edge_input){
edge_new.push_back({u , v , min(dis[u] , dis[v])});
}
sort(edge_new.begin() , edge_new.end());
for(int i=1;i<=n;i++) cmp[i] = i;
for(auto [u,v,w] : edge_new){
int pa_u = fp(u) , pa_v = fp(v);
if(pa_u == pa_v) continue;
tree[u].push_back({v , w});
tree[v].push_back({u , w});
cmp[pa_v] = pa_u;
}
for(int i=0;i<mxN;i++){
for(int j=0;j<mxLogDepth;j++){
dp[i][j] = LLONG_MAX;
ancestor[i][j] = 0;
}
}
dfs(1 , -1);
for(int k=1;k<=limDepth;k++){
for(int node=1;node<=n;node++){
ancestor[node][k] = ancestor[ancestor[node][k-1]][k-1];
dp[node][k] = min(dp[node][k-1] , dp[ancestor[node][k-1]][k-1]);
}
}
int q;
cin>> q;
while(q--){
int u,v;
cin>> u >> v;
lca(u , v);
}
}
Compilation message
plan.cpp: In function 'void dijkstra_npp()':
plan.cpp:53:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
53 | auto [u , w] = pq.top();
| ^
plan.cpp:58:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
58 | for(auto [v , ww] : adj[u]){
| ^
plan.cpp: In function 'void dfs(int, int)':
plan.cpp:73:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
73 | for(auto [v , w] : tree[u]){
| ^
plan.cpp: In function 'int main()':
plan.cpp:138:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
138 | for(auto [u,v,w] : edge_input){
| ^
plan.cpp:144:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
144 | for(auto [u,v,w] : edge_new){
| ^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
30040 KB |
Output is correct |
2 |
Correct |
9 ms |
30300 KB |
Output is correct |
3 |
Correct |
10 ms |
30300 KB |
Output is correct |
4 |
Correct |
6 ms |
30044 KB |
Output is correct |
5 |
Correct |
8 ms |
30244 KB |
Output is correct |
6 |
Correct |
8 ms |
30296 KB |
Output is correct |
7 |
Correct |
6 ms |
30296 KB |
Output is correct |
8 |
Correct |
6 ms |
30064 KB |
Output is correct |
9 |
Correct |
8 ms |
30300 KB |
Output is correct |
10 |
Correct |
8 ms |
30336 KB |
Output is correct |
11 |
Correct |
8 ms |
30300 KB |
Output is correct |
12 |
Correct |
11 ms |
30300 KB |
Output is correct |
13 |
Correct |
8 ms |
30300 KB |
Output is correct |
14 |
Correct |
8 ms |
30256 KB |
Output is correct |
15 |
Correct |
8 ms |
30328 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
30040 KB |
Output is correct |
2 |
Correct |
9 ms |
30300 KB |
Output is correct |
3 |
Correct |
10 ms |
30300 KB |
Output is correct |
4 |
Correct |
6 ms |
30044 KB |
Output is correct |
5 |
Correct |
8 ms |
30244 KB |
Output is correct |
6 |
Correct |
8 ms |
30296 KB |
Output is correct |
7 |
Correct |
6 ms |
30296 KB |
Output is correct |
8 |
Correct |
6 ms |
30064 KB |
Output is correct |
9 |
Correct |
8 ms |
30300 KB |
Output is correct |
10 |
Correct |
8 ms |
30336 KB |
Output is correct |
11 |
Correct |
8 ms |
30300 KB |
Output is correct |
12 |
Correct |
11 ms |
30300 KB |
Output is correct |
13 |
Correct |
8 ms |
30300 KB |
Output is correct |
14 |
Correct |
8 ms |
30256 KB |
Output is correct |
15 |
Correct |
8 ms |
30328 KB |
Output is correct |
16 |
Correct |
314 ms |
45628 KB |
Output is correct |
17 |
Correct |
745 ms |
83756 KB |
Output is correct |
18 |
Correct |
58 ms |
34868 KB |
Output is correct |
19 |
Correct |
324 ms |
45908 KB |
Output is correct |
20 |
Correct |
737 ms |
83916 KB |
Output is correct |
21 |
Correct |
462 ms |
56224 KB |
Output is correct |
22 |
Correct |
320 ms |
52648 KB |
Output is correct |
23 |
Correct |
752 ms |
84056 KB |
Output is correct |
24 |
Correct |
834 ms |
83880 KB |
Output is correct |
25 |
Correct |
807 ms |
83772 KB |
Output is correct |
26 |
Correct |
302 ms |
45848 KB |
Output is correct |
27 |
Correct |
317 ms |
45972 KB |
Output is correct |
28 |
Correct |
291 ms |
46344 KB |
Output is correct |
29 |
Correct |
303 ms |
45896 KB |
Output is correct |
30 |
Correct |
302 ms |
45952 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
30040 KB |
Output is correct |
2 |
Correct |
6 ms |
30044 KB |
Output is correct |
3 |
Correct |
6 ms |
30044 KB |
Output is correct |
4 |
Correct |
6 ms |
30300 KB |
Output is correct |
5 |
Correct |
6 ms |
30300 KB |
Output is correct |
6 |
Correct |
6 ms |
30300 KB |
Output is correct |
7 |
Correct |
6 ms |
30300 KB |
Output is correct |
8 |
Correct |
6 ms |
30044 KB |
Output is correct |
9 |
Correct |
6 ms |
30288 KB |
Output is correct |
10 |
Correct |
6 ms |
30300 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
254 ms |
53228 KB |
Output is correct |
2 |
Correct |
560 ms |
82316 KB |
Output is correct |
3 |
Correct |
578 ms |
82240 KB |
Output is correct |
4 |
Correct |
134 ms |
48248 KB |
Output is correct |
5 |
Correct |
541 ms |
82120 KB |
Output is correct |
6 |
Correct |
547 ms |
82076 KB |
Output is correct |
7 |
Correct |
549 ms |
82136 KB |
Output is correct |
8 |
Correct |
563 ms |
82112 KB |
Output is correct |
9 |
Correct |
557 ms |
82884 KB |
Output is correct |
10 |
Correct |
538 ms |
82212 KB |
Output is correct |
11 |
Correct |
542 ms |
82440 KB |
Output is correct |
12 |
Correct |
544 ms |
82316 KB |
Output is correct |
13 |
Correct |
611 ms |
82224 KB |
Output is correct |
14 |
Correct |
538 ms |
83044 KB |
Output is correct |
15 |
Correct |
547 ms |
83112 KB |
Output is correct |
16 |
Correct |
530 ms |
82080 KB |
Output is correct |
17 |
Correct |
555 ms |
82144 KB |
Output is correct |
18 |
Correct |
557 ms |
82796 KB |
Output is correct |
19 |
Correct |
134 ms |
50236 KB |
Output is correct |
20 |
Correct |
546 ms |
82432 KB |
Output is correct |
21 |
Correct |
528 ms |
82764 KB |
Output is correct |
22 |
Correct |
118 ms |
44308 KB |
Output is correct |
23 |
Correct |
127 ms |
45548 KB |
Output is correct |
24 |
Correct |
133 ms |
44464 KB |
Output is correct |
25 |
Correct |
129 ms |
44244 KB |
Output is correct |
26 |
Correct |
139 ms |
45888 KB |
Output is correct |
27 |
Correct |
150 ms |
50100 KB |
Output is correct |
28 |
Correct |
125 ms |
44404 KB |
Output is correct |
29 |
Correct |
157 ms |
49188 KB |
Output is correct |
30 |
Correct |
118 ms |
44456 KB |
Output is correct |
31 |
Correct |
151 ms |
49208 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
30040 KB |
Output is correct |
2 |
Correct |
9 ms |
30300 KB |
Output is correct |
3 |
Correct |
10 ms |
30300 KB |
Output is correct |
4 |
Correct |
6 ms |
30044 KB |
Output is correct |
5 |
Correct |
8 ms |
30244 KB |
Output is correct |
6 |
Correct |
8 ms |
30296 KB |
Output is correct |
7 |
Correct |
6 ms |
30296 KB |
Output is correct |
8 |
Correct |
6 ms |
30064 KB |
Output is correct |
9 |
Correct |
8 ms |
30300 KB |
Output is correct |
10 |
Correct |
8 ms |
30336 KB |
Output is correct |
11 |
Correct |
8 ms |
30300 KB |
Output is correct |
12 |
Correct |
11 ms |
30300 KB |
Output is correct |
13 |
Correct |
8 ms |
30300 KB |
Output is correct |
14 |
Correct |
8 ms |
30256 KB |
Output is correct |
15 |
Correct |
8 ms |
30328 KB |
Output is correct |
16 |
Correct |
314 ms |
45628 KB |
Output is correct |
17 |
Correct |
745 ms |
83756 KB |
Output is correct |
18 |
Correct |
58 ms |
34868 KB |
Output is correct |
19 |
Correct |
324 ms |
45908 KB |
Output is correct |
20 |
Correct |
737 ms |
83916 KB |
Output is correct |
21 |
Correct |
462 ms |
56224 KB |
Output is correct |
22 |
Correct |
320 ms |
52648 KB |
Output is correct |
23 |
Correct |
752 ms |
84056 KB |
Output is correct |
24 |
Correct |
834 ms |
83880 KB |
Output is correct |
25 |
Correct |
807 ms |
83772 KB |
Output is correct |
26 |
Correct |
302 ms |
45848 KB |
Output is correct |
27 |
Correct |
317 ms |
45972 KB |
Output is correct |
28 |
Correct |
291 ms |
46344 KB |
Output is correct |
29 |
Correct |
303 ms |
45896 KB |
Output is correct |
30 |
Correct |
302 ms |
45952 KB |
Output is correct |
31 |
Correct |
6 ms |
30040 KB |
Output is correct |
32 |
Correct |
6 ms |
30044 KB |
Output is correct |
33 |
Correct |
6 ms |
30044 KB |
Output is correct |
34 |
Correct |
6 ms |
30300 KB |
Output is correct |
35 |
Correct |
6 ms |
30300 KB |
Output is correct |
36 |
Correct |
6 ms |
30300 KB |
Output is correct |
37 |
Correct |
6 ms |
30300 KB |
Output is correct |
38 |
Correct |
6 ms |
30044 KB |
Output is correct |
39 |
Correct |
6 ms |
30288 KB |
Output is correct |
40 |
Correct |
6 ms |
30300 KB |
Output is correct |
41 |
Correct |
254 ms |
53228 KB |
Output is correct |
42 |
Correct |
560 ms |
82316 KB |
Output is correct |
43 |
Correct |
578 ms |
82240 KB |
Output is correct |
44 |
Correct |
134 ms |
48248 KB |
Output is correct |
45 |
Correct |
541 ms |
82120 KB |
Output is correct |
46 |
Correct |
547 ms |
82076 KB |
Output is correct |
47 |
Correct |
549 ms |
82136 KB |
Output is correct |
48 |
Correct |
563 ms |
82112 KB |
Output is correct |
49 |
Correct |
557 ms |
82884 KB |
Output is correct |
50 |
Correct |
538 ms |
82212 KB |
Output is correct |
51 |
Correct |
542 ms |
82440 KB |
Output is correct |
52 |
Correct |
544 ms |
82316 KB |
Output is correct |
53 |
Correct |
611 ms |
82224 KB |
Output is correct |
54 |
Correct |
538 ms |
83044 KB |
Output is correct |
55 |
Correct |
547 ms |
83112 KB |
Output is correct |
56 |
Correct |
530 ms |
82080 KB |
Output is correct |
57 |
Correct |
555 ms |
82144 KB |
Output is correct |
58 |
Correct |
557 ms |
82796 KB |
Output is correct |
59 |
Correct |
134 ms |
50236 KB |
Output is correct |
60 |
Correct |
546 ms |
82432 KB |
Output is correct |
61 |
Correct |
528 ms |
82764 KB |
Output is correct |
62 |
Correct |
118 ms |
44308 KB |
Output is correct |
63 |
Correct |
127 ms |
45548 KB |
Output is correct |
64 |
Correct |
133 ms |
44464 KB |
Output is correct |
65 |
Correct |
129 ms |
44244 KB |
Output is correct |
66 |
Correct |
139 ms |
45888 KB |
Output is correct |
67 |
Correct |
150 ms |
50100 KB |
Output is correct |
68 |
Correct |
125 ms |
44404 KB |
Output is correct |
69 |
Correct |
157 ms |
49188 KB |
Output is correct |
70 |
Correct |
118 ms |
44456 KB |
Output is correct |
71 |
Correct |
151 ms |
49208 KB |
Output is correct |
72 |
Correct |
463 ms |
56140 KB |
Output is correct |
73 |
Correct |
754 ms |
84008 KB |
Output is correct |
74 |
Correct |
738 ms |
84460 KB |
Output is correct |
75 |
Correct |
753 ms |
84028 KB |
Output is correct |
76 |
Correct |
713 ms |
83788 KB |
Output is correct |
77 |
Correct |
742 ms |
83972 KB |
Output is correct |
78 |
Correct |
718 ms |
83748 KB |
Output is correct |
79 |
Correct |
753 ms |
83924 KB |
Output is correct |
80 |
Correct |
761 ms |
83796 KB |
Output is correct |
81 |
Correct |
726 ms |
83708 KB |
Output is correct |
82 |
Correct |
732 ms |
83840 KB |
Output is correct |
83 |
Correct |
751 ms |
84584 KB |
Output is correct |
84 |
Correct |
761 ms |
83924 KB |
Output is correct |
85 |
Correct |
741 ms |
83964 KB |
Output is correct |
86 |
Correct |
712 ms |
83948 KB |
Output is correct |
87 |
Correct |
770 ms |
83784 KB |
Output is correct |
88 |
Correct |
733 ms |
83972 KB |
Output is correct |
89 |
Correct |
383 ms |
51416 KB |
Output is correct |
90 |
Correct |
722 ms |
83860 KB |
Output is correct |
91 |
Correct |
734 ms |
84704 KB |
Output is correct |
92 |
Correct |
310 ms |
45836 KB |
Output is correct |
93 |
Correct |
336 ms |
47928 KB |
Output is correct |
94 |
Correct |
310 ms |
45900 KB |
Output is correct |
95 |
Correct |
313 ms |
45848 KB |
Output is correct |
96 |
Correct |
330 ms |
47672 KB |
Output is correct |
97 |
Correct |
381 ms |
50036 KB |
Output is correct |
98 |
Correct |
305 ms |
45860 KB |
Output is correct |
99 |
Correct |
396 ms |
51824 KB |
Output is correct |
100 |
Correct |
314 ms |
46436 KB |
Output is correct |