#include <bits/stdc++.h>
// include <ext/pb_ds/assoc_container.hpp>
// include <ext/pb_ds/tree_policy.hpp>
// using namespace __gnu_pbds;
using namespace std;
#define all(x) x.begin(), x.end()
#define pb push_back
// define ordered_set tree<int,null_type,less_equal<int>,rb_tree_tag,tree_order_statistics_node_update>
#define mpr make_pair
#define ln '\n'
void IO(string name){freopen((name+".in").c_str(),"r",stdin); freopen((name+".out").c_str(),"w",stdout);}
#define int long long
const int N = 1e5+1;
vector <pair<int,int>> g[N];
vector <int> G[N];
int lift[N][20], Mn[N][20], val[N], depth[N];
void dfs(int n, int p){
lift[n][0] = p;
Mn[n][0] = val[n];
depth[n] = depth[p]+1;
for ( int i = 1; i < 20; i++ ){
lift[n][i] = lift[lift[n][i-1]][i-1];
Mn[n][i] = min(Mn[n][i-1], Mn[lift[n][i-1]][i-1]);
}
for ( auto to: G[n] ){
if ( to == p ) continue;
dfs(to, n);
}
}
int _lca(int l, int r){
if ( depth[l] < depth[r] ) swap(l, r);
int dif = depth[l]-depth[r], res = numeric_limits <int>::max();
for ( int i = 19; i >= 0; i-- ){
if ( dif >> i & 1 ){
res = min(res, Mn[l][i]);
l = lift[l][i];
}
}
if ( l == r ) return min(res, val[l]);
for ( int i = 19; i >= 0; i-- ){
if ( lift[l][i] == lift[r][i] ) continue;
res = min({res, Mn[l][i], Mn[r][i]});
l = lift[l][i], r = lift[r][i];
}
res = min({res, Mn[l][1], Mn[r][1]});
return res;
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, m; cin >> n >> m;
for ( int i = 1; i <= m; i++ ){
int x, y, w; cin >> x >> y >> w;
g[x].pb({y, w});
g[y].pb({x, w});
}
int k; cin >> k;
priority_queue <pair<int,int>> q;
const int inf = 1e12+1;
vector <int> dis(n+1, inf);
for ( int i = 1; i <= k; i++ ){
int x; cin >> x;
q.push({0, x});
dis[x] = 0;
}
while ( !q.empty() ){
int cur = q.top().second; q.pop();
for ( auto [to, w]: g[cur] ){
int new_dis = dis[cur]+w;
if ( new_dis < dis[to] ){
dis[to] = new_dis;
q.push({-dis[to], to});
}
}
}
vector <int> pos(n+1), par(n+1);
iota(all(pos), 0); iota(all(par), 0);
sort(pos.begin()+1, pos.end(), [&](int &l, int &r){
return dis[l] > dis[r];
});
for ( int i = 1; i <= n; i++ ) val[i] = dis[i];
function <int(int)> find = [&](int x){
return par[x] == x ? x : par[x] = find(par[x]);
};
auto merge = [&](int x, int y){
x = find(x), y = find(y);
if ( x == y ) return false;
par[y] = x;
return true;
};
vector <int> used(n+1);
for ( auto i: pos ){
if ( !i ) continue;
for ( auto [to, w]: g[i] ){
if ( !used[to] ) continue;
if ( merge(to, i) ){
G[to].pb(i), G[i].pb(to);
}
}
used[i] = 1;
}
dfs(1, 0);
int Q; cin >> Q;
while ( Q-- ){
int x, y; cin >> x >> y;
cout << _lca(x, y) << ln;
}
cout << '\n';
}
Compilation message
plan.cpp: In function 'void IO(std::string)':
plan.cpp:11:29: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
11 | void IO(string name){freopen((name+".in").c_str(),"r",stdin); freopen((name+".out").c_str(),"w",stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
plan.cpp:11:70: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
11 | void IO(string name){freopen((name+".in").c_str(),"r",stdin); freopen((name+".out").c_str(),"w",stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
5460 KB |
Output is correct |
3 |
Correct |
3 ms |
5460 KB |
Output is correct |
4 |
Correct |
2 ms |
4948 KB |
Output is correct |
5 |
Correct |
3 ms |
5460 KB |
Output is correct |
6 |
Correct |
3 ms |
5500 KB |
Output is correct |
7 |
Correct |
3 ms |
5076 KB |
Output is correct |
8 |
Correct |
2 ms |
5076 KB |
Output is correct |
9 |
Correct |
3 ms |
5460 KB |
Output is correct |
10 |
Correct |
4 ms |
5460 KB |
Output is correct |
11 |
Correct |
3 ms |
5396 KB |
Output is correct |
12 |
Correct |
3 ms |
5460 KB |
Output is correct |
13 |
Correct |
3 ms |
5460 KB |
Output is correct |
14 |
Correct |
3 ms |
5436 KB |
Output is correct |
15 |
Correct |
3 ms |
5460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
5460 KB |
Output is correct |
3 |
Correct |
3 ms |
5460 KB |
Output is correct |
4 |
Correct |
2 ms |
4948 KB |
Output is correct |
5 |
Correct |
3 ms |
5460 KB |
Output is correct |
6 |
Correct |
3 ms |
5500 KB |
Output is correct |
7 |
Correct |
3 ms |
5076 KB |
Output is correct |
8 |
Correct |
2 ms |
5076 KB |
Output is correct |
9 |
Correct |
3 ms |
5460 KB |
Output is correct |
10 |
Correct |
4 ms |
5460 KB |
Output is correct |
11 |
Correct |
3 ms |
5396 KB |
Output is correct |
12 |
Correct |
3 ms |
5460 KB |
Output is correct |
13 |
Correct |
3 ms |
5460 KB |
Output is correct |
14 |
Correct |
3 ms |
5436 KB |
Output is correct |
15 |
Correct |
3 ms |
5460 KB |
Output is correct |
16 |
Correct |
179 ms |
41620 KB |
Output is correct |
17 |
Correct |
521 ms |
70188 KB |
Output is correct |
18 |
Correct |
31 ms |
12104 KB |
Output is correct |
19 |
Correct |
145 ms |
51580 KB |
Output is correct |
20 |
Correct |
491 ms |
70212 KB |
Output is correct |
21 |
Correct |
296 ms |
55552 KB |
Output is correct |
22 |
Correct |
197 ms |
54288 KB |
Output is correct |
23 |
Correct |
497 ms |
70192 KB |
Output is correct |
24 |
Correct |
501 ms |
70236 KB |
Output is correct |
25 |
Correct |
519 ms |
70200 KB |
Output is correct |
26 |
Correct |
153 ms |
51388 KB |
Output is correct |
27 |
Correct |
147 ms |
51380 KB |
Output is correct |
28 |
Correct |
146 ms |
51404 KB |
Output is correct |
29 |
Correct |
147 ms |
51496 KB |
Output is correct |
30 |
Correct |
150 ms |
51500 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
2 ms |
5036 KB |
Output is correct |
4 |
Correct |
2 ms |
4948 KB |
Output is correct |
5 |
Correct |
3 ms |
4948 KB |
Output is correct |
6 |
Correct |
4 ms |
5056 KB |
Output is correct |
7 |
Correct |
2 ms |
4948 KB |
Output is correct |
8 |
Correct |
2 ms |
4948 KB |
Output is correct |
9 |
Correct |
3 ms |
4948 KB |
Output is correct |
10 |
Correct |
3 ms |
4948 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
255 ms |
54992 KB |
Output is correct |
2 |
Correct |
450 ms |
69948 KB |
Output is correct |
3 |
Correct |
445 ms |
69812 KB |
Output is correct |
4 |
Correct |
147 ms |
51676 KB |
Output is correct |
5 |
Correct |
479 ms |
69816 KB |
Output is correct |
6 |
Correct |
429 ms |
69832 KB |
Output is correct |
7 |
Correct |
444 ms |
69844 KB |
Output is correct |
8 |
Correct |
470 ms |
69832 KB |
Output is correct |
9 |
Correct |
433 ms |
69828 KB |
Output is correct |
10 |
Correct |
443 ms |
69944 KB |
Output is correct |
11 |
Correct |
452 ms |
69736 KB |
Output is correct |
12 |
Correct |
491 ms |
69864 KB |
Output is correct |
13 |
Correct |
445 ms |
69804 KB |
Output is correct |
14 |
Correct |
462 ms |
69788 KB |
Output is correct |
15 |
Correct |
489 ms |
69944 KB |
Output is correct |
16 |
Correct |
485 ms |
69828 KB |
Output is correct |
17 |
Correct |
483 ms |
69848 KB |
Output is correct |
18 |
Correct |
536 ms |
69744 KB |
Output is correct |
19 |
Correct |
185 ms |
53224 KB |
Output is correct |
20 |
Correct |
450 ms |
69816 KB |
Output is correct |
21 |
Correct |
406 ms |
69296 KB |
Output is correct |
22 |
Correct |
114 ms |
51208 KB |
Output is correct |
23 |
Correct |
136 ms |
50200 KB |
Output is correct |
24 |
Correct |
113 ms |
51176 KB |
Output is correct |
25 |
Correct |
114 ms |
51208 KB |
Output is correct |
26 |
Correct |
161 ms |
50636 KB |
Output is correct |
27 |
Correct |
149 ms |
53004 KB |
Output is correct |
28 |
Correct |
124 ms |
51220 KB |
Output is correct |
29 |
Correct |
151 ms |
52412 KB |
Output is correct |
30 |
Correct |
112 ms |
51084 KB |
Output is correct |
31 |
Correct |
163 ms |
52416 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
5460 KB |
Output is correct |
3 |
Correct |
3 ms |
5460 KB |
Output is correct |
4 |
Correct |
2 ms |
4948 KB |
Output is correct |
5 |
Correct |
3 ms |
5460 KB |
Output is correct |
6 |
Correct |
3 ms |
5500 KB |
Output is correct |
7 |
Correct |
3 ms |
5076 KB |
Output is correct |
8 |
Correct |
2 ms |
5076 KB |
Output is correct |
9 |
Correct |
3 ms |
5460 KB |
Output is correct |
10 |
Correct |
4 ms |
5460 KB |
Output is correct |
11 |
Correct |
3 ms |
5396 KB |
Output is correct |
12 |
Correct |
3 ms |
5460 KB |
Output is correct |
13 |
Correct |
3 ms |
5460 KB |
Output is correct |
14 |
Correct |
3 ms |
5436 KB |
Output is correct |
15 |
Correct |
3 ms |
5460 KB |
Output is correct |
16 |
Correct |
179 ms |
41620 KB |
Output is correct |
17 |
Correct |
521 ms |
70188 KB |
Output is correct |
18 |
Correct |
31 ms |
12104 KB |
Output is correct |
19 |
Correct |
145 ms |
51580 KB |
Output is correct |
20 |
Correct |
491 ms |
70212 KB |
Output is correct |
21 |
Correct |
296 ms |
55552 KB |
Output is correct |
22 |
Correct |
197 ms |
54288 KB |
Output is correct |
23 |
Correct |
497 ms |
70192 KB |
Output is correct |
24 |
Correct |
501 ms |
70236 KB |
Output is correct |
25 |
Correct |
519 ms |
70200 KB |
Output is correct |
26 |
Correct |
153 ms |
51388 KB |
Output is correct |
27 |
Correct |
147 ms |
51380 KB |
Output is correct |
28 |
Correct |
146 ms |
51404 KB |
Output is correct |
29 |
Correct |
147 ms |
51496 KB |
Output is correct |
30 |
Correct |
150 ms |
51500 KB |
Output is correct |
31 |
Correct |
3 ms |
4948 KB |
Output is correct |
32 |
Correct |
2 ms |
4948 KB |
Output is correct |
33 |
Correct |
2 ms |
5036 KB |
Output is correct |
34 |
Correct |
2 ms |
4948 KB |
Output is correct |
35 |
Correct |
3 ms |
4948 KB |
Output is correct |
36 |
Correct |
4 ms |
5056 KB |
Output is correct |
37 |
Correct |
2 ms |
4948 KB |
Output is correct |
38 |
Correct |
2 ms |
4948 KB |
Output is correct |
39 |
Correct |
3 ms |
4948 KB |
Output is correct |
40 |
Correct |
3 ms |
4948 KB |
Output is correct |
41 |
Correct |
255 ms |
54992 KB |
Output is correct |
42 |
Correct |
450 ms |
69948 KB |
Output is correct |
43 |
Correct |
445 ms |
69812 KB |
Output is correct |
44 |
Correct |
147 ms |
51676 KB |
Output is correct |
45 |
Correct |
479 ms |
69816 KB |
Output is correct |
46 |
Correct |
429 ms |
69832 KB |
Output is correct |
47 |
Correct |
444 ms |
69844 KB |
Output is correct |
48 |
Correct |
470 ms |
69832 KB |
Output is correct |
49 |
Correct |
433 ms |
69828 KB |
Output is correct |
50 |
Correct |
443 ms |
69944 KB |
Output is correct |
51 |
Correct |
452 ms |
69736 KB |
Output is correct |
52 |
Correct |
491 ms |
69864 KB |
Output is correct |
53 |
Correct |
445 ms |
69804 KB |
Output is correct |
54 |
Correct |
462 ms |
69788 KB |
Output is correct |
55 |
Correct |
489 ms |
69944 KB |
Output is correct |
56 |
Correct |
485 ms |
69828 KB |
Output is correct |
57 |
Correct |
483 ms |
69848 KB |
Output is correct |
58 |
Correct |
536 ms |
69744 KB |
Output is correct |
59 |
Correct |
185 ms |
53224 KB |
Output is correct |
60 |
Correct |
450 ms |
69816 KB |
Output is correct |
61 |
Correct |
406 ms |
69296 KB |
Output is correct |
62 |
Correct |
114 ms |
51208 KB |
Output is correct |
63 |
Correct |
136 ms |
50200 KB |
Output is correct |
64 |
Correct |
113 ms |
51176 KB |
Output is correct |
65 |
Correct |
114 ms |
51208 KB |
Output is correct |
66 |
Correct |
161 ms |
50636 KB |
Output is correct |
67 |
Correct |
149 ms |
53004 KB |
Output is correct |
68 |
Correct |
124 ms |
51220 KB |
Output is correct |
69 |
Correct |
151 ms |
52412 KB |
Output is correct |
70 |
Correct |
112 ms |
51084 KB |
Output is correct |
71 |
Correct |
163 ms |
52416 KB |
Output is correct |
72 |
Correct |
317 ms |
56612 KB |
Output is correct |
73 |
Correct |
511 ms |
79648 KB |
Output is correct |
74 |
Correct |
535 ms |
79868 KB |
Output is correct |
75 |
Correct |
516 ms |
79696 KB |
Output is correct |
76 |
Correct |
508 ms |
79596 KB |
Output is correct |
77 |
Correct |
525 ms |
79692 KB |
Output is correct |
78 |
Correct |
522 ms |
79608 KB |
Output is correct |
79 |
Correct |
503 ms |
79632 KB |
Output is correct |
80 |
Correct |
529 ms |
79636 KB |
Output is correct |
81 |
Correct |
517 ms |
79552 KB |
Output is correct |
82 |
Correct |
523 ms |
79616 KB |
Output is correct |
83 |
Correct |
528 ms |
79696 KB |
Output is correct |
84 |
Correct |
541 ms |
79588 KB |
Output is correct |
85 |
Correct |
518 ms |
79688 KB |
Output is correct |
86 |
Correct |
531 ms |
79612 KB |
Output is correct |
87 |
Correct |
517 ms |
79604 KB |
Output is correct |
88 |
Correct |
519 ms |
79592 KB |
Output is correct |
89 |
Correct |
285 ms |
56352 KB |
Output is correct |
90 |
Correct |
500 ms |
79552 KB |
Output is correct |
91 |
Correct |
500 ms |
79340 KB |
Output is correct |
92 |
Correct |
168 ms |
54300 KB |
Output is correct |
93 |
Correct |
216 ms |
54044 KB |
Output is correct |
94 |
Correct |
168 ms |
54168 KB |
Output is correct |
95 |
Correct |
165 ms |
54328 KB |
Output is correct |
96 |
Correct |
236 ms |
53588 KB |
Output is correct |
97 |
Correct |
268 ms |
55196 KB |
Output is correct |
98 |
Correct |
168 ms |
54256 KB |
Output is correct |
99 |
Correct |
270 ms |
56476 KB |
Output is correct |
100 |
Correct |
178 ms |
54332 KB |
Output is correct |