#include <bits/stdc++.h>
using namespace std;
struct dsu {
vector<int> parent, rank;
vector<pair<int, int>> parent_old, rank_old;
dsu() {}
dsu(int n) : parent(n), rank(n, 1) {
iota(parent.begin(), parent.end(), 0);
}
int get(int u) {
return parent[u] == u ? u : get(parent[u]);
}
bool unite(int u, int v) {
u = get(u), v = get(v);
if (u != v) {
if (rank[u] < rank[v]) {
swap(u, v);
}
rank_old.push_back({u, rank[u]});
parent_old.push_back({v, parent[v]});
rank[u] += rank[v];
parent[v] = u;
return true;
}
return false;
}
void rollback() {
rank[rank_old.back().first] = rank_old.back().second;
parent[parent_old.back().first] = parent_old.back().second;
rank_old.pop_back(), parent_old.pop_back();
}
};
const int MAX_N = 100000;
const int INF = 1e9;
vector<pair<int, int>> graph[MAX_N];
vector<int> S, T, dist, answer;
vector<int> sorted_v, pos_v;
dsu sets;
void parallel_bs(vector<int> queries, int L, int R) {
if (R - L == 1) {
for (int i : queries) {
answer[i] = dist[sorted_v[L]];
}
} else {
int mid = (L + R) / 2;
int cnt_upd = 0;
for (int i = L; i < mid; i++) {
for (auto [j, w] : graph[sorted_v[i]]) {
if (pos_v[j] < mid) {
cnt_upd += sets.unite(sorted_v[i], j);
}
}
}
vector<int> q_left, q_right;
for (int i : queries) {
if (sets.get(S[i]) == sets.get(T[i])) {
q_left.push_back(i);
} else {
q_right.push_back(i);
}
}
vector<int>().swap(queries);
parallel_bs(q_right, mid, R);
while (cnt_upd--) {
sets.rollback();
}
vector<int>().swap(q_right);
parallel_bs(q_left, L, mid);
vector<int>().swap(q_left);
}
}
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int n, m;
cin >> n >> m;
for (int i = 0; i < m; i++) {
int a, b, w;
cin >> a >> b >> w;
a--, b--;
graph[a].push_back({b, w});
graph[b].push_back({a, w});
}
int k;
cin >> k;
vector<int> cities(k);
for (int &value : cities) {
cin >> value;
value--;
}
int Q;
cin >> Q;
S = T = vector<int>(Q);
for (int i = 0; i < Q; i++) {
cin >> S[i] >> T[i];
S[i]--, T[i]--;
}
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> que;
dist.assign(n, INF);
pos_v.resize(n);
for (int u : cities) {
que.push({dist[u] = 0, u});
}
while (!que.empty()) {
auto [d, u] = que.top();
que.pop();
if (d > dist[u]) {
continue;
}
sorted_v.push_back(u);
pos_v[u] = n - (int)sorted_v.size();
for (auto [v, w] : graph[u]) {
if (dist[v] > dist[u] + w) {
que.push({dist[v] = dist[u] + w, v});
}
}
}
reverse(sorted_v.begin(), sorted_v.end());
answer.resize(Q);
sets = dsu(n);
vector<int> queries(Q);
iota(queries.begin(), queries.end(), 0);
parallel_bs(queries, 0, n);
for (int i = 0; i < Q; i++) {
cout << answer[i] << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2648 KB |
Output is correct |
2 |
Correct |
2 ms |
2904 KB |
Output is correct |
3 |
Correct |
2 ms |
2908 KB |
Output is correct |
4 |
Correct |
2 ms |
2804 KB |
Output is correct |
5 |
Correct |
2 ms |
2908 KB |
Output is correct |
6 |
Correct |
2 ms |
2908 KB |
Output is correct |
7 |
Correct |
1 ms |
2648 KB |
Output is correct |
8 |
Correct |
1 ms |
2652 KB |
Output is correct |
9 |
Correct |
2 ms |
2908 KB |
Output is correct |
10 |
Correct |
2 ms |
2904 KB |
Output is correct |
11 |
Correct |
2 ms |
2908 KB |
Output is correct |
12 |
Correct |
2 ms |
2908 KB |
Output is correct |
13 |
Correct |
2 ms |
2820 KB |
Output is correct |
14 |
Correct |
2 ms |
2904 KB |
Output is correct |
15 |
Correct |
2 ms |
2904 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2648 KB |
Output is correct |
2 |
Correct |
2 ms |
2904 KB |
Output is correct |
3 |
Correct |
2 ms |
2908 KB |
Output is correct |
4 |
Correct |
2 ms |
2804 KB |
Output is correct |
5 |
Correct |
2 ms |
2908 KB |
Output is correct |
6 |
Correct |
2 ms |
2908 KB |
Output is correct |
7 |
Correct |
1 ms |
2648 KB |
Output is correct |
8 |
Correct |
1 ms |
2652 KB |
Output is correct |
9 |
Correct |
2 ms |
2908 KB |
Output is correct |
10 |
Correct |
2 ms |
2904 KB |
Output is correct |
11 |
Correct |
2 ms |
2908 KB |
Output is correct |
12 |
Correct |
2 ms |
2908 KB |
Output is correct |
13 |
Correct |
2 ms |
2820 KB |
Output is correct |
14 |
Correct |
2 ms |
2904 KB |
Output is correct |
15 |
Correct |
2 ms |
2904 KB |
Output is correct |
16 |
Correct |
139 ms |
15300 KB |
Output is correct |
17 |
Correct |
331 ms |
34520 KB |
Output is correct |
18 |
Correct |
25 ms |
5624 KB |
Output is correct |
19 |
Correct |
72 ms |
23368 KB |
Output is correct |
20 |
Correct |
341 ms |
34524 KB |
Output is correct |
21 |
Correct |
196 ms |
22136 KB |
Output is correct |
22 |
Correct |
92 ms |
15332 KB |
Output is correct |
23 |
Correct |
353 ms |
34776 KB |
Output is correct |
24 |
Correct |
370 ms |
34524 KB |
Output is correct |
25 |
Correct |
366 ms |
34772 KB |
Output is correct |
26 |
Correct |
79 ms |
23436 KB |
Output is correct |
27 |
Correct |
71 ms |
22904 KB |
Output is correct |
28 |
Correct |
74 ms |
23100 KB |
Output is correct |
29 |
Correct |
76 ms |
23436 KB |
Output is correct |
30 |
Correct |
71 ms |
23712 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
Output is correct |
2 |
Correct |
1 ms |
2652 KB |
Output is correct |
3 |
Correct |
1 ms |
2652 KB |
Output is correct |
4 |
Correct |
1 ms |
2652 KB |
Output is correct |
5 |
Correct |
1 ms |
2804 KB |
Output is correct |
6 |
Correct |
1 ms |
2652 KB |
Output is correct |
7 |
Correct |
1 ms |
2652 KB |
Output is correct |
8 |
Correct |
1 ms |
2804 KB |
Output is correct |
9 |
Correct |
1 ms |
2652 KB |
Output is correct |
10 |
Correct |
1 ms |
2652 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
151 ms |
17316 KB |
Output is correct |
2 |
Correct |
287 ms |
30168 KB |
Output is correct |
3 |
Correct |
302 ms |
30212 KB |
Output is correct |
4 |
Correct |
61 ms |
11720 KB |
Output is correct |
5 |
Correct |
274 ms |
30424 KB |
Output is correct |
6 |
Correct |
298 ms |
30284 KB |
Output is correct |
7 |
Correct |
268 ms |
30332 KB |
Output is correct |
8 |
Correct |
283 ms |
30172 KB |
Output is correct |
9 |
Correct |
261 ms |
30168 KB |
Output is correct |
10 |
Correct |
282 ms |
30428 KB |
Output is correct |
11 |
Correct |
262 ms |
30296 KB |
Output is correct |
12 |
Correct |
268 ms |
30176 KB |
Output is correct |
13 |
Correct |
304 ms |
30208 KB |
Output is correct |
14 |
Correct |
264 ms |
30424 KB |
Output is correct |
15 |
Correct |
277 ms |
30912 KB |
Output is correct |
16 |
Correct |
270 ms |
30428 KB |
Output is correct |
17 |
Correct |
279 ms |
30424 KB |
Output is correct |
18 |
Correct |
266 ms |
30308 KB |
Output is correct |
19 |
Correct |
47 ms |
11716 KB |
Output is correct |
20 |
Correct |
293 ms |
30404 KB |
Output is correct |
21 |
Correct |
238 ms |
30668 KB |
Output is correct |
22 |
Correct |
43 ms |
13384 KB |
Output is correct |
23 |
Correct |
66 ms |
12456 KB |
Output is correct |
24 |
Correct |
51 ms |
13396 KB |
Output is correct |
25 |
Correct |
48 ms |
13380 KB |
Output is correct |
26 |
Correct |
65 ms |
12400 KB |
Output is correct |
27 |
Correct |
46 ms |
11960 KB |
Output is correct |
28 |
Correct |
51 ms |
13396 KB |
Output is correct |
29 |
Correct |
53 ms |
11716 KB |
Output is correct |
30 |
Correct |
51 ms |
13412 KB |
Output is correct |
31 |
Correct |
46 ms |
11972 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2648 KB |
Output is correct |
2 |
Correct |
2 ms |
2904 KB |
Output is correct |
3 |
Correct |
2 ms |
2908 KB |
Output is correct |
4 |
Correct |
2 ms |
2804 KB |
Output is correct |
5 |
Correct |
2 ms |
2908 KB |
Output is correct |
6 |
Correct |
2 ms |
2908 KB |
Output is correct |
7 |
Correct |
1 ms |
2648 KB |
Output is correct |
8 |
Correct |
1 ms |
2652 KB |
Output is correct |
9 |
Correct |
2 ms |
2908 KB |
Output is correct |
10 |
Correct |
2 ms |
2904 KB |
Output is correct |
11 |
Correct |
2 ms |
2908 KB |
Output is correct |
12 |
Correct |
2 ms |
2908 KB |
Output is correct |
13 |
Correct |
2 ms |
2820 KB |
Output is correct |
14 |
Correct |
2 ms |
2904 KB |
Output is correct |
15 |
Correct |
2 ms |
2904 KB |
Output is correct |
16 |
Correct |
139 ms |
15300 KB |
Output is correct |
17 |
Correct |
331 ms |
34520 KB |
Output is correct |
18 |
Correct |
25 ms |
5624 KB |
Output is correct |
19 |
Correct |
72 ms |
23368 KB |
Output is correct |
20 |
Correct |
341 ms |
34524 KB |
Output is correct |
21 |
Correct |
196 ms |
22136 KB |
Output is correct |
22 |
Correct |
92 ms |
15332 KB |
Output is correct |
23 |
Correct |
353 ms |
34776 KB |
Output is correct |
24 |
Correct |
370 ms |
34524 KB |
Output is correct |
25 |
Correct |
366 ms |
34772 KB |
Output is correct |
26 |
Correct |
79 ms |
23436 KB |
Output is correct |
27 |
Correct |
71 ms |
22904 KB |
Output is correct |
28 |
Correct |
74 ms |
23100 KB |
Output is correct |
29 |
Correct |
76 ms |
23436 KB |
Output is correct |
30 |
Correct |
71 ms |
23712 KB |
Output is correct |
31 |
Correct |
1 ms |
2652 KB |
Output is correct |
32 |
Correct |
1 ms |
2652 KB |
Output is correct |
33 |
Correct |
1 ms |
2652 KB |
Output is correct |
34 |
Correct |
1 ms |
2652 KB |
Output is correct |
35 |
Correct |
1 ms |
2804 KB |
Output is correct |
36 |
Correct |
1 ms |
2652 KB |
Output is correct |
37 |
Correct |
1 ms |
2652 KB |
Output is correct |
38 |
Correct |
1 ms |
2804 KB |
Output is correct |
39 |
Correct |
1 ms |
2652 KB |
Output is correct |
40 |
Correct |
1 ms |
2652 KB |
Output is correct |
41 |
Correct |
151 ms |
17316 KB |
Output is correct |
42 |
Correct |
287 ms |
30168 KB |
Output is correct |
43 |
Correct |
302 ms |
30212 KB |
Output is correct |
44 |
Correct |
61 ms |
11720 KB |
Output is correct |
45 |
Correct |
274 ms |
30424 KB |
Output is correct |
46 |
Correct |
298 ms |
30284 KB |
Output is correct |
47 |
Correct |
268 ms |
30332 KB |
Output is correct |
48 |
Correct |
283 ms |
30172 KB |
Output is correct |
49 |
Correct |
261 ms |
30168 KB |
Output is correct |
50 |
Correct |
282 ms |
30428 KB |
Output is correct |
51 |
Correct |
262 ms |
30296 KB |
Output is correct |
52 |
Correct |
268 ms |
30176 KB |
Output is correct |
53 |
Correct |
304 ms |
30208 KB |
Output is correct |
54 |
Correct |
264 ms |
30424 KB |
Output is correct |
55 |
Correct |
277 ms |
30912 KB |
Output is correct |
56 |
Correct |
270 ms |
30428 KB |
Output is correct |
57 |
Correct |
279 ms |
30424 KB |
Output is correct |
58 |
Correct |
266 ms |
30308 KB |
Output is correct |
59 |
Correct |
47 ms |
11716 KB |
Output is correct |
60 |
Correct |
293 ms |
30404 KB |
Output is correct |
61 |
Correct |
238 ms |
30668 KB |
Output is correct |
62 |
Correct |
43 ms |
13384 KB |
Output is correct |
63 |
Correct |
66 ms |
12456 KB |
Output is correct |
64 |
Correct |
51 ms |
13396 KB |
Output is correct |
65 |
Correct |
48 ms |
13380 KB |
Output is correct |
66 |
Correct |
65 ms |
12400 KB |
Output is correct |
67 |
Correct |
46 ms |
11960 KB |
Output is correct |
68 |
Correct |
51 ms |
13396 KB |
Output is correct |
69 |
Correct |
53 ms |
11716 KB |
Output is correct |
70 |
Correct |
51 ms |
13412 KB |
Output is correct |
71 |
Correct |
46 ms |
11972 KB |
Output is correct |
72 |
Correct |
206 ms |
20964 KB |
Output is correct |
73 |
Correct |
398 ms |
34720 KB |
Output is correct |
74 |
Correct |
330 ms |
34512 KB |
Output is correct |
75 |
Correct |
337 ms |
34928 KB |
Output is correct |
76 |
Correct |
321 ms |
34704 KB |
Output is correct |
77 |
Correct |
339 ms |
34524 KB |
Output is correct |
78 |
Correct |
327 ms |
34520 KB |
Output is correct |
79 |
Correct |
335 ms |
34864 KB |
Output is correct |
80 |
Correct |
331 ms |
34624 KB |
Output is correct |
81 |
Correct |
352 ms |
34580 KB |
Output is correct |
82 |
Correct |
343 ms |
34588 KB |
Output is correct |
83 |
Correct |
347 ms |
34524 KB |
Output is correct |
84 |
Correct |
316 ms |
34520 KB |
Output is correct |
85 |
Correct |
332 ms |
35268 KB |
Output is correct |
86 |
Correct |
310 ms |
34696 KB |
Output is correct |
87 |
Correct |
337 ms |
34688 KB |
Output is correct |
88 |
Correct |
331 ms |
34520 KB |
Output is correct |
89 |
Correct |
95 ms |
15896 KB |
Output is correct |
90 |
Correct |
326 ms |
34508 KB |
Output is correct |
91 |
Correct |
345 ms |
35020 KB |
Output is correct |
92 |
Correct |
70 ms |
23364 KB |
Output is correct |
93 |
Correct |
153 ms |
17204 KB |
Output is correct |
94 |
Correct |
73 ms |
23292 KB |
Output is correct |
95 |
Correct |
75 ms |
23364 KB |
Output is correct |
96 |
Correct |
137 ms |
20152 KB |
Output is correct |
97 |
Correct |
89 ms |
18556 KB |
Output is correct |
98 |
Correct |
78 ms |
23380 KB |
Output is correct |
99 |
Correct |
96 ms |
18492 KB |
Output is correct |
100 |
Correct |
75 ms |
23080 KB |
Output is correct |