#include <bits/stdc++.h>
using namespace std;
const int N = 100005;
typedef pair<int, int> ii;
int n, m, k, q;
int a[N], dis[N];
int x[N], y[N];
int l[N], r[N];
int par[N];
vector<ii> G[N];
vector<ii> vec;
vector<int> queries[N];
int find(int u) { return par[u] == u ? u : par[u] = find(par[u]); }
void join(int u, int v) { par[find(u)] = find(v); }
void dijkstra() {
for (int i = 1; i <= n; ++i) dis[i] = 1e9;
priority_queue< ii, vector<ii>, greater<ii> > pq;
for (int i = 1; i <= k; ++i) {
pq.push(ii(0, a[i])), dis[a[i]] = 0;
}
while (pq.size()) {
ii u = pq.top(); pq.pop();
if (u.first != dis[u.second]) continue;
for (auto v : G[u.second]) {
v.first += u.first;
if (v.first < dis[v.second]) {
dis[v.second] = v.first, pq.push(v);
}
}
}
}
int main() {
ios::sync_with_stdio(false);
cin >> n >> m;
for (int i = 1; i <= m; ++i) {
int u, v, w; cin >> u >> v >> w;
G[u].push_back(ii(w, v)), G[v].push_back(ii(w, u));
}
cin >> k;
for (int i = 1; i <= k; ++i) cin >> a[i];
dijkstra();
vec.push_back(ii(1e9, 0));
for (int i = 1; i <= n; ++i) vec.push_back(ii(dis[i], i));
sort(vec.begin(), vec.end(), greater<ii>());
cin >> q;
for (int i = 1; i <= q; ++i) {
cin >> x[i] >> y[i];
l[i] = 1, r[i] = n;
}
while (1) {
bool found = 0;
for (int i = 1; i <= q; ++i) found |= l[i] < r[i];
if (!found) break;
for (int i = 1; i <= n; ++i) par[i] = i;
for (int i = 1; i <= n; ++i) queries[i].clear();
for (int i = 1; i <= q; ++i) {
queries[(l[i] + r[i]) / 2].push_back(i);
}
for (int i = 1; i <= n; ++i) {
for (auto j : G[vec[i].second]) {
if (dis[j.second] >= dis[vec[i].second]) join(vec[i].second, j.second);
}
for (auto j : queries[i]) {
if (find(x[j]) == find(y[j])) r[j] = (l[j] + r[j]) / 2;
else l[j] = (l[j] + r[j]) / 2 + 1;
}
}
}
for (int i = 1; i <= q; ++i) cout << vec[l[i]].first << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
4984 KB |
Output is correct |
2 |
Correct |
7 ms |
5112 KB |
Output is correct |
3 |
Correct |
7 ms |
5240 KB |
Output is correct |
4 |
Correct |
6 ms |
4984 KB |
Output is correct |
5 |
Correct |
7 ms |
5112 KB |
Output is correct |
6 |
Correct |
7 ms |
5240 KB |
Output is correct |
7 |
Correct |
6 ms |
5112 KB |
Output is correct |
8 |
Correct |
6 ms |
5112 KB |
Output is correct |
9 |
Correct |
8 ms |
5240 KB |
Output is correct |
10 |
Correct |
8 ms |
5240 KB |
Output is correct |
11 |
Correct |
8 ms |
5240 KB |
Output is correct |
12 |
Correct |
7 ms |
5112 KB |
Output is correct |
13 |
Correct |
8 ms |
5240 KB |
Output is correct |
14 |
Correct |
7 ms |
5240 KB |
Output is correct |
15 |
Correct |
8 ms |
5216 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
4984 KB |
Output is correct |
2 |
Correct |
7 ms |
5112 KB |
Output is correct |
3 |
Correct |
7 ms |
5240 KB |
Output is correct |
4 |
Correct |
6 ms |
4984 KB |
Output is correct |
5 |
Correct |
7 ms |
5112 KB |
Output is correct |
6 |
Correct |
7 ms |
5240 KB |
Output is correct |
7 |
Correct |
6 ms |
5112 KB |
Output is correct |
8 |
Correct |
6 ms |
5112 KB |
Output is correct |
9 |
Correct |
8 ms |
5240 KB |
Output is correct |
10 |
Correct |
8 ms |
5240 KB |
Output is correct |
11 |
Correct |
8 ms |
5240 KB |
Output is correct |
12 |
Correct |
7 ms |
5112 KB |
Output is correct |
13 |
Correct |
8 ms |
5240 KB |
Output is correct |
14 |
Correct |
7 ms |
5240 KB |
Output is correct |
15 |
Correct |
8 ms |
5216 KB |
Output is correct |
16 |
Correct |
556 ms |
21380 KB |
Output is correct |
17 |
Correct |
1539 ms |
31436 KB |
Output is correct |
18 |
Correct |
75 ms |
7496 KB |
Output is correct |
19 |
Correct |
230 ms |
20840 KB |
Output is correct |
20 |
Correct |
1494 ms |
31376 KB |
Output is correct |
21 |
Correct |
916 ms |
24256 KB |
Output is correct |
22 |
Correct |
495 ms |
22268 KB |
Output is correct |
23 |
Correct |
1489 ms |
31344 KB |
Output is correct |
24 |
Correct |
1555 ms |
31368 KB |
Output is correct |
25 |
Correct |
1508 ms |
31244 KB |
Output is correct |
26 |
Correct |
296 ms |
20744 KB |
Output is correct |
27 |
Correct |
308 ms |
21212 KB |
Output is correct |
28 |
Correct |
249 ms |
20952 KB |
Output is correct |
29 |
Correct |
244 ms |
20572 KB |
Output is correct |
30 |
Correct |
223 ms |
20540 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
5092 KB |
Output is correct |
2 |
Correct |
6 ms |
4984 KB |
Output is correct |
3 |
Correct |
6 ms |
5112 KB |
Output is correct |
4 |
Correct |
6 ms |
5044 KB |
Output is correct |
5 |
Correct |
6 ms |
4988 KB |
Output is correct |
6 |
Correct |
6 ms |
5112 KB |
Output is correct |
7 |
Correct |
6 ms |
4984 KB |
Output is correct |
8 |
Correct |
6 ms |
4984 KB |
Output is correct |
9 |
Correct |
5 ms |
5112 KB |
Output is correct |
10 |
Correct |
6 ms |
4988 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
628 ms |
13504 KB |
Output is correct |
2 |
Correct |
1174 ms |
21696 KB |
Output is correct |
3 |
Correct |
1258 ms |
21692 KB |
Output is correct |
4 |
Correct |
260 ms |
9924 KB |
Output is correct |
5 |
Correct |
1225 ms |
21692 KB |
Output is correct |
6 |
Correct |
1225 ms |
21736 KB |
Output is correct |
7 |
Correct |
1226 ms |
21628 KB |
Output is correct |
8 |
Correct |
1253 ms |
21672 KB |
Output is correct |
9 |
Correct |
1240 ms |
21692 KB |
Output is correct |
10 |
Correct |
1212 ms |
21584 KB |
Output is correct |
11 |
Correct |
1238 ms |
21604 KB |
Output is correct |
12 |
Correct |
1263 ms |
21728 KB |
Output is correct |
13 |
Correct |
1237 ms |
21584 KB |
Output is correct |
14 |
Correct |
1254 ms |
21820 KB |
Output is correct |
15 |
Correct |
1226 ms |
21668 KB |
Output is correct |
16 |
Correct |
1278 ms |
21704 KB |
Output is correct |
17 |
Correct |
1184 ms |
21800 KB |
Output is correct |
18 |
Correct |
1207 ms |
21908 KB |
Output is correct |
19 |
Correct |
200 ms |
9836 KB |
Output is correct |
20 |
Correct |
1180 ms |
21728 KB |
Output is correct |
21 |
Correct |
1284 ms |
22008 KB |
Output is correct |
22 |
Correct |
172 ms |
13180 KB |
Output is correct |
23 |
Correct |
202 ms |
10348 KB |
Output is correct |
24 |
Correct |
149 ms |
12256 KB |
Output is correct |
25 |
Correct |
159 ms |
12988 KB |
Output is correct |
26 |
Correct |
266 ms |
10428 KB |
Output is correct |
27 |
Correct |
184 ms |
9832 KB |
Output is correct |
28 |
Correct |
159 ms |
12260 KB |
Output is correct |
29 |
Correct |
239 ms |
9964 KB |
Output is correct |
30 |
Correct |
145 ms |
12244 KB |
Output is correct |
31 |
Correct |
192 ms |
9832 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
4984 KB |
Output is correct |
2 |
Correct |
7 ms |
5112 KB |
Output is correct |
3 |
Correct |
7 ms |
5240 KB |
Output is correct |
4 |
Correct |
6 ms |
4984 KB |
Output is correct |
5 |
Correct |
7 ms |
5112 KB |
Output is correct |
6 |
Correct |
7 ms |
5240 KB |
Output is correct |
7 |
Correct |
6 ms |
5112 KB |
Output is correct |
8 |
Correct |
6 ms |
5112 KB |
Output is correct |
9 |
Correct |
8 ms |
5240 KB |
Output is correct |
10 |
Correct |
8 ms |
5240 KB |
Output is correct |
11 |
Correct |
8 ms |
5240 KB |
Output is correct |
12 |
Correct |
7 ms |
5112 KB |
Output is correct |
13 |
Correct |
8 ms |
5240 KB |
Output is correct |
14 |
Correct |
7 ms |
5240 KB |
Output is correct |
15 |
Correct |
8 ms |
5216 KB |
Output is correct |
16 |
Correct |
556 ms |
21380 KB |
Output is correct |
17 |
Correct |
1539 ms |
31436 KB |
Output is correct |
18 |
Correct |
75 ms |
7496 KB |
Output is correct |
19 |
Correct |
230 ms |
20840 KB |
Output is correct |
20 |
Correct |
1494 ms |
31376 KB |
Output is correct |
21 |
Correct |
916 ms |
24256 KB |
Output is correct |
22 |
Correct |
495 ms |
22268 KB |
Output is correct |
23 |
Correct |
1489 ms |
31344 KB |
Output is correct |
24 |
Correct |
1555 ms |
31368 KB |
Output is correct |
25 |
Correct |
1508 ms |
31244 KB |
Output is correct |
26 |
Correct |
296 ms |
20744 KB |
Output is correct |
27 |
Correct |
308 ms |
21212 KB |
Output is correct |
28 |
Correct |
249 ms |
20952 KB |
Output is correct |
29 |
Correct |
244 ms |
20572 KB |
Output is correct |
30 |
Correct |
223 ms |
20540 KB |
Output is correct |
31 |
Correct |
6 ms |
5092 KB |
Output is correct |
32 |
Correct |
6 ms |
4984 KB |
Output is correct |
33 |
Correct |
6 ms |
5112 KB |
Output is correct |
34 |
Correct |
6 ms |
5044 KB |
Output is correct |
35 |
Correct |
6 ms |
4988 KB |
Output is correct |
36 |
Correct |
6 ms |
5112 KB |
Output is correct |
37 |
Correct |
6 ms |
4984 KB |
Output is correct |
38 |
Correct |
6 ms |
4984 KB |
Output is correct |
39 |
Correct |
5 ms |
5112 KB |
Output is correct |
40 |
Correct |
6 ms |
4988 KB |
Output is correct |
41 |
Correct |
628 ms |
13504 KB |
Output is correct |
42 |
Correct |
1174 ms |
21696 KB |
Output is correct |
43 |
Correct |
1258 ms |
21692 KB |
Output is correct |
44 |
Correct |
260 ms |
9924 KB |
Output is correct |
45 |
Correct |
1225 ms |
21692 KB |
Output is correct |
46 |
Correct |
1225 ms |
21736 KB |
Output is correct |
47 |
Correct |
1226 ms |
21628 KB |
Output is correct |
48 |
Correct |
1253 ms |
21672 KB |
Output is correct |
49 |
Correct |
1240 ms |
21692 KB |
Output is correct |
50 |
Correct |
1212 ms |
21584 KB |
Output is correct |
51 |
Correct |
1238 ms |
21604 KB |
Output is correct |
52 |
Correct |
1263 ms |
21728 KB |
Output is correct |
53 |
Correct |
1237 ms |
21584 KB |
Output is correct |
54 |
Correct |
1254 ms |
21820 KB |
Output is correct |
55 |
Correct |
1226 ms |
21668 KB |
Output is correct |
56 |
Correct |
1278 ms |
21704 KB |
Output is correct |
57 |
Correct |
1184 ms |
21800 KB |
Output is correct |
58 |
Correct |
1207 ms |
21908 KB |
Output is correct |
59 |
Correct |
200 ms |
9836 KB |
Output is correct |
60 |
Correct |
1180 ms |
21728 KB |
Output is correct |
61 |
Correct |
1284 ms |
22008 KB |
Output is correct |
62 |
Correct |
172 ms |
13180 KB |
Output is correct |
63 |
Correct |
202 ms |
10348 KB |
Output is correct |
64 |
Correct |
149 ms |
12256 KB |
Output is correct |
65 |
Correct |
159 ms |
12988 KB |
Output is correct |
66 |
Correct |
266 ms |
10428 KB |
Output is correct |
67 |
Correct |
184 ms |
9832 KB |
Output is correct |
68 |
Correct |
159 ms |
12260 KB |
Output is correct |
69 |
Correct |
239 ms |
9964 KB |
Output is correct |
70 |
Correct |
145 ms |
12244 KB |
Output is correct |
71 |
Correct |
192 ms |
9832 KB |
Output is correct |
72 |
Correct |
950 ms |
24480 KB |
Output is correct |
73 |
Correct |
1448 ms |
31416 KB |
Output is correct |
74 |
Correct |
1485 ms |
31336 KB |
Output is correct |
75 |
Correct |
1491 ms |
31368 KB |
Output is correct |
76 |
Correct |
1517 ms |
31236 KB |
Output is correct |
77 |
Correct |
1514 ms |
31356 KB |
Output is correct |
78 |
Correct |
1451 ms |
32792 KB |
Output is correct |
79 |
Correct |
1506 ms |
32636 KB |
Output is correct |
80 |
Correct |
1540 ms |
32480 KB |
Output is correct |
81 |
Correct |
1483 ms |
32848 KB |
Output is correct |
82 |
Correct |
1509 ms |
32840 KB |
Output is correct |
83 |
Correct |
1544 ms |
32480 KB |
Output is correct |
84 |
Correct |
1588 ms |
33068 KB |
Output is correct |
85 |
Correct |
1560 ms |
33060 KB |
Output is correct |
86 |
Correct |
1551 ms |
33060 KB |
Output is correct |
87 |
Correct |
1502 ms |
33008 KB |
Output is correct |
88 |
Correct |
1508 ms |
33108 KB |
Output is correct |
89 |
Correct |
435 ms |
24192 KB |
Output is correct |
90 |
Correct |
1551 ms |
32968 KB |
Output is correct |
91 |
Correct |
1605 ms |
32096 KB |
Output is correct |
92 |
Correct |
249 ms |
23004 KB |
Output is correct |
93 |
Correct |
442 ms |
22716 KB |
Output is correct |
94 |
Correct |
281 ms |
22416 KB |
Output is correct |
95 |
Correct |
260 ms |
22664 KB |
Output is correct |
96 |
Correct |
423 ms |
20848 KB |
Output is correct |
97 |
Correct |
413 ms |
23028 KB |
Output is correct |
98 |
Correct |
275 ms |
22884 KB |
Output is correct |
99 |
Correct |
492 ms |
22956 KB |
Output is correct |
100 |
Correct |
254 ms |
22996 KB |
Output is correct |