#include <bits/stdc++.h>
#define fi first
#define se second
#define mp make_pair
#define pb push_back
using namespace std;
typedef long long ll;
const int maxn = 1e5 + 5, maxm = 5e5 + 5;
class DSU
{
vector<int> lab;
public:
void init(int n)
{
lab.assign(n + 5, -1);
}
int finds(int u)
{
if (lab[u] < 0) return u;
return lab[u] = finds(lab[u]);
}
bool same(int u, int v)
{
return finds(u) == finds(v);
}
bool merges(int u, int v)
{
u = finds(u); v = finds(v);
if (u == v) return false;
if (lab[v] < lab[u]) swap(u, v);
lab[u] += lab[v];
lab[v] = u;
return true;
}
}dsu;
class edge_list
{
public:
int u, v, w;
bool operator < (const edge_list & other) const
{
return w > other.w;
}
}edge[maxm];
int N, M, K, Q;
int dist[maxn];
vector<pair<int, int>> Tree[maxn];
vector<int> adj[maxn];
int par[maxn][20], rmq[maxn][20], depth[maxn];
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
void dfs(int u, int p = -1)
{
for (int i = 1; (1 << i) <= N; ++i){
par[u][i] = par[par[u][i - 1]][i - 1];
rmq[u][i] = min(rmq[u][i - 1], rmq[par[u][i - 1]][i - 1]);
}
for (auto v : Tree[u]){
if (v.fi == p) continue;
depth[v.fi] = depth[u] + 1;
par[v.fi][0] = u;
rmq[v.fi][0] = v.se;
dfs(v.fi, u);
}
}
int LCA(int x, int y)
{
if (depth[x] < depth[y]) swap(x, y);
for (int k = 19; k >= 0; --k){
if (depth[par[x][k]] >= depth[y]){
x = par[x][k];
}
}
if (x == y) return x;
for (int k = 19; k >= 0; --k){
if (par[x][k] != par[y][k]){
x = par[x][k];
y = par[y][k];
}
}
return par[x][0];
}
int up(int x, int p)
{
int res = 1e9;
for (int k = 19; k >= 0; --k){
if (depth[par[x][k]] >= depth[p]){
res = min(res, rmq[x][k]);
x = par[x][k];
}
}
return res;
}
signed main(void)
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if (fopen("A.INP", "r")){
freopen("A.INP", "r", stdin);
freopen("A.OUT", "w", stdout);
}
cin >> N >> M;
for (int i = 1; i <= M; ++i){
cin >> edge[i].u >> edge[i].v >> edge[i].w;
adj[edge[i].u].pb(i); adj[edge[i].v].pb(i);
}
fill_n(&dist[0], maxn, 1e9 + 5);
cin >> K;
for (int i = 1; i <= K; ++i){
int x; cin >> x;
dist[x] = 0;
pq.push(mp(0, x));
}
while (pq.size()){
auto now = pq.top(); pq.pop();
if (now.fi != dist[now.se]) continue;
for (int i : adj[now.se]){
int v = edge[i].u + edge[i].v - now.se;
if (dist[v] > now.fi + edge[i].w){
dist[v] = now.fi + edge[i].w;
pq.push(mp(dist[v], v));
}
}
}
for (int i = 1; i <= M; ++i){
edge[i].w = min(dist[edge[i].u], dist[edge[i].v]);
}
sort(edge + 1, edge + 1 + M);
dsu.init(N);
for (int i = 1; i <= M; ++i){
if (dsu.merges(edge[i].u, edge[i].v)){
Tree[edge[i].u].pb(mp(edge[i].v, edge[i].w));
Tree[edge[i].v].pb(mp(edge[i].u, edge[i].w));
///cerr << edge[i].u << ' ' << edge[i].v << ' ' << edge[i].w << '\n';
}
}
for (int i = 1; i <= N; ++i){
if (depth[i] == 0){
depth[i] = 1;
dfs(i);
}
}
cin >> Q;
while (Q--){
int u, v; cin >> u >> v;
assert(dsu.same(u, v));
int lc = LCA(u, v);
cout << min(up(u, lc), up(v, lc)) << '\n';
}
}
Compilation message
plan.cpp: In function 'int main()':
plan.cpp:106:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
freopen("A.INP", "r", stdin);
~~~~~~~^~~~~~~~~~~~~~~~~~~~~
plan.cpp:107:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
freopen("A.OUT", "w", stdout);
~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
5368 KB |
Output is correct |
2 |
Correct |
9 ms |
5880 KB |
Output is correct |
3 |
Correct |
9 ms |
5752 KB |
Output is correct |
4 |
Correct |
8 ms |
5496 KB |
Output is correct |
5 |
Correct |
9 ms |
5752 KB |
Output is correct |
6 |
Correct |
9 ms |
5752 KB |
Output is correct |
7 |
Correct |
8 ms |
5496 KB |
Output is correct |
8 |
Correct |
8 ms |
5496 KB |
Output is correct |
9 |
Correct |
10 ms |
5752 KB |
Output is correct |
10 |
Correct |
10 ms |
5752 KB |
Output is correct |
11 |
Correct |
10 ms |
5752 KB |
Output is correct |
12 |
Correct |
10 ms |
5752 KB |
Output is correct |
13 |
Correct |
9 ms |
5752 KB |
Output is correct |
14 |
Correct |
10 ms |
5752 KB |
Output is correct |
15 |
Correct |
9 ms |
5752 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
5368 KB |
Output is correct |
2 |
Correct |
9 ms |
5880 KB |
Output is correct |
3 |
Correct |
9 ms |
5752 KB |
Output is correct |
4 |
Correct |
8 ms |
5496 KB |
Output is correct |
5 |
Correct |
9 ms |
5752 KB |
Output is correct |
6 |
Correct |
9 ms |
5752 KB |
Output is correct |
7 |
Correct |
8 ms |
5496 KB |
Output is correct |
8 |
Correct |
8 ms |
5496 KB |
Output is correct |
9 |
Correct |
10 ms |
5752 KB |
Output is correct |
10 |
Correct |
10 ms |
5752 KB |
Output is correct |
11 |
Correct |
10 ms |
5752 KB |
Output is correct |
12 |
Correct |
10 ms |
5752 KB |
Output is correct |
13 |
Correct |
9 ms |
5752 KB |
Output is correct |
14 |
Correct |
10 ms |
5752 KB |
Output is correct |
15 |
Correct |
9 ms |
5752 KB |
Output is correct |
16 |
Correct |
275 ms |
28532 KB |
Output is correct |
17 |
Correct |
739 ms |
49652 KB |
Output is correct |
18 |
Correct |
46 ms |
9976 KB |
Output is correct |
19 |
Correct |
253 ms |
34540 KB |
Output is correct |
20 |
Correct |
770 ms |
49904 KB |
Output is correct |
21 |
Correct |
439 ms |
37356 KB |
Output is correct |
22 |
Correct |
268 ms |
37752 KB |
Output is correct |
23 |
Correct |
749 ms |
49772 KB |
Output is correct |
24 |
Correct |
804 ms |
49528 KB |
Output is correct |
25 |
Correct |
792 ms |
49768 KB |
Output is correct |
26 |
Correct |
272 ms |
34412 KB |
Output is correct |
27 |
Correct |
290 ms |
34548 KB |
Output is correct |
28 |
Correct |
289 ms |
34412 KB |
Output is correct |
29 |
Correct |
295 ms |
34668 KB |
Output is correct |
30 |
Correct |
299 ms |
34536 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
10 ms |
5496 KB |
Output is correct |
2 |
Correct |
8 ms |
5500 KB |
Output is correct |
3 |
Correct |
9 ms |
5496 KB |
Output is correct |
4 |
Correct |
9 ms |
5496 KB |
Output is correct |
5 |
Correct |
9 ms |
5496 KB |
Output is correct |
6 |
Correct |
8 ms |
5496 KB |
Output is correct |
7 |
Correct |
9 ms |
5496 KB |
Output is correct |
8 |
Correct |
9 ms |
5496 KB |
Output is correct |
9 |
Correct |
8 ms |
5496 KB |
Output is correct |
10 |
Correct |
8 ms |
5496 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
371 ms |
35440 KB |
Output is correct |
2 |
Correct |
703 ms |
48112 KB |
Output is correct |
3 |
Correct |
681 ms |
47848 KB |
Output is correct |
4 |
Correct |
212 ms |
33912 KB |
Output is correct |
5 |
Correct |
736 ms |
47980 KB |
Output is correct |
6 |
Correct |
769 ms |
47856 KB |
Output is correct |
7 |
Correct |
823 ms |
47876 KB |
Output is correct |
8 |
Correct |
820 ms |
48004 KB |
Output is correct |
9 |
Correct |
807 ms |
47964 KB |
Output is correct |
10 |
Correct |
656 ms |
47852 KB |
Output is correct |
11 |
Correct |
938 ms |
47848 KB |
Output is correct |
12 |
Correct |
923 ms |
47916 KB |
Output is correct |
13 |
Correct |
1171 ms |
47980 KB |
Output is correct |
14 |
Correct |
963 ms |
47980 KB |
Output is correct |
15 |
Correct |
1375 ms |
47972 KB |
Output is correct |
16 |
Correct |
898 ms |
47960 KB |
Output is correct |
17 |
Correct |
897 ms |
47852 KB |
Output is correct |
18 |
Correct |
809 ms |
47912 KB |
Output is correct |
19 |
Correct |
182 ms |
35448 KB |
Output is correct |
20 |
Correct |
1158 ms |
48020 KB |
Output is correct |
21 |
Correct |
692 ms |
48232 KB |
Output is correct |
22 |
Correct |
280 ms |
32876 KB |
Output is correct |
23 |
Correct |
164 ms |
31992 KB |
Output is correct |
24 |
Correct |
382 ms |
33072 KB |
Output is correct |
25 |
Correct |
171 ms |
32876 KB |
Output is correct |
26 |
Correct |
187 ms |
32372 KB |
Output is correct |
27 |
Correct |
223 ms |
35192 KB |
Output is correct |
28 |
Correct |
154 ms |
32868 KB |
Output is correct |
29 |
Correct |
420 ms |
34552 KB |
Output is correct |
30 |
Correct |
372 ms |
32876 KB |
Output is correct |
31 |
Correct |
189 ms |
34556 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
5368 KB |
Output is correct |
2 |
Correct |
9 ms |
5880 KB |
Output is correct |
3 |
Correct |
9 ms |
5752 KB |
Output is correct |
4 |
Correct |
8 ms |
5496 KB |
Output is correct |
5 |
Correct |
9 ms |
5752 KB |
Output is correct |
6 |
Correct |
9 ms |
5752 KB |
Output is correct |
7 |
Correct |
8 ms |
5496 KB |
Output is correct |
8 |
Correct |
8 ms |
5496 KB |
Output is correct |
9 |
Correct |
10 ms |
5752 KB |
Output is correct |
10 |
Correct |
10 ms |
5752 KB |
Output is correct |
11 |
Correct |
10 ms |
5752 KB |
Output is correct |
12 |
Correct |
10 ms |
5752 KB |
Output is correct |
13 |
Correct |
9 ms |
5752 KB |
Output is correct |
14 |
Correct |
10 ms |
5752 KB |
Output is correct |
15 |
Correct |
9 ms |
5752 KB |
Output is correct |
16 |
Correct |
275 ms |
28532 KB |
Output is correct |
17 |
Correct |
739 ms |
49652 KB |
Output is correct |
18 |
Correct |
46 ms |
9976 KB |
Output is correct |
19 |
Correct |
253 ms |
34540 KB |
Output is correct |
20 |
Correct |
770 ms |
49904 KB |
Output is correct |
21 |
Correct |
439 ms |
37356 KB |
Output is correct |
22 |
Correct |
268 ms |
37752 KB |
Output is correct |
23 |
Correct |
749 ms |
49772 KB |
Output is correct |
24 |
Correct |
804 ms |
49528 KB |
Output is correct |
25 |
Correct |
792 ms |
49768 KB |
Output is correct |
26 |
Correct |
272 ms |
34412 KB |
Output is correct |
27 |
Correct |
290 ms |
34548 KB |
Output is correct |
28 |
Correct |
289 ms |
34412 KB |
Output is correct |
29 |
Correct |
295 ms |
34668 KB |
Output is correct |
30 |
Correct |
299 ms |
34536 KB |
Output is correct |
31 |
Correct |
10 ms |
5496 KB |
Output is correct |
32 |
Correct |
8 ms |
5500 KB |
Output is correct |
33 |
Correct |
9 ms |
5496 KB |
Output is correct |
34 |
Correct |
9 ms |
5496 KB |
Output is correct |
35 |
Correct |
9 ms |
5496 KB |
Output is correct |
36 |
Correct |
8 ms |
5496 KB |
Output is correct |
37 |
Correct |
9 ms |
5496 KB |
Output is correct |
38 |
Correct |
9 ms |
5496 KB |
Output is correct |
39 |
Correct |
8 ms |
5496 KB |
Output is correct |
40 |
Correct |
8 ms |
5496 KB |
Output is correct |
41 |
Correct |
371 ms |
35440 KB |
Output is correct |
42 |
Correct |
703 ms |
48112 KB |
Output is correct |
43 |
Correct |
681 ms |
47848 KB |
Output is correct |
44 |
Correct |
212 ms |
33912 KB |
Output is correct |
45 |
Correct |
736 ms |
47980 KB |
Output is correct |
46 |
Correct |
769 ms |
47856 KB |
Output is correct |
47 |
Correct |
823 ms |
47876 KB |
Output is correct |
48 |
Correct |
820 ms |
48004 KB |
Output is correct |
49 |
Correct |
807 ms |
47964 KB |
Output is correct |
50 |
Correct |
656 ms |
47852 KB |
Output is correct |
51 |
Correct |
938 ms |
47848 KB |
Output is correct |
52 |
Correct |
923 ms |
47916 KB |
Output is correct |
53 |
Correct |
1171 ms |
47980 KB |
Output is correct |
54 |
Correct |
963 ms |
47980 KB |
Output is correct |
55 |
Correct |
1375 ms |
47972 KB |
Output is correct |
56 |
Correct |
898 ms |
47960 KB |
Output is correct |
57 |
Correct |
897 ms |
47852 KB |
Output is correct |
58 |
Correct |
809 ms |
47912 KB |
Output is correct |
59 |
Correct |
182 ms |
35448 KB |
Output is correct |
60 |
Correct |
1158 ms |
48020 KB |
Output is correct |
61 |
Correct |
692 ms |
48232 KB |
Output is correct |
62 |
Correct |
280 ms |
32876 KB |
Output is correct |
63 |
Correct |
164 ms |
31992 KB |
Output is correct |
64 |
Correct |
382 ms |
33072 KB |
Output is correct |
65 |
Correct |
171 ms |
32876 KB |
Output is correct |
66 |
Correct |
187 ms |
32372 KB |
Output is correct |
67 |
Correct |
223 ms |
35192 KB |
Output is correct |
68 |
Correct |
154 ms |
32868 KB |
Output is correct |
69 |
Correct |
420 ms |
34552 KB |
Output is correct |
70 |
Correct |
372 ms |
32876 KB |
Output is correct |
71 |
Correct |
189 ms |
34556 KB |
Output is correct |
72 |
Correct |
463 ms |
37212 KB |
Output is correct |
73 |
Correct |
853 ms |
49768 KB |
Output is correct |
74 |
Correct |
922 ms |
49644 KB |
Output is correct |
75 |
Correct |
1059 ms |
49644 KB |
Output is correct |
76 |
Correct |
936 ms |
49516 KB |
Output is correct |
77 |
Correct |
1211 ms |
49512 KB |
Output is correct |
78 |
Correct |
764 ms |
49476 KB |
Output is correct |
79 |
Correct |
725 ms |
49524 KB |
Output is correct |
80 |
Correct |
783 ms |
49644 KB |
Output is correct |
81 |
Correct |
922 ms |
49516 KB |
Output is correct |
82 |
Correct |
695 ms |
49640 KB |
Output is correct |
83 |
Correct |
988 ms |
49512 KB |
Output is correct |
84 |
Correct |
984 ms |
49636 KB |
Output is correct |
85 |
Correct |
847 ms |
49700 KB |
Output is correct |
86 |
Correct |
708 ms |
49812 KB |
Output is correct |
87 |
Correct |
713 ms |
49644 KB |
Output is correct |
88 |
Correct |
963 ms |
49644 KB |
Output is correct |
89 |
Correct |
379 ms |
36728 KB |
Output is correct |
90 |
Correct |
1055 ms |
49924 KB |
Output is correct |
91 |
Correct |
893 ms |
49548 KB |
Output is correct |
92 |
Correct |
356 ms |
34412 KB |
Output is correct |
93 |
Correct |
369 ms |
34296 KB |
Output is correct |
94 |
Correct |
239 ms |
34408 KB |
Output is correct |
95 |
Correct |
238 ms |
34604 KB |
Output is correct |
96 |
Correct |
370 ms |
34040 KB |
Output is correct |
97 |
Correct |
410 ms |
35920 KB |
Output is correct |
98 |
Correct |
301 ms |
34408 KB |
Output is correct |
99 |
Correct |
370 ms |
36984 KB |
Output is correct |
100 |
Correct |
485 ms |
34672 KB |
Output is correct |