#include <bits/stdc++.h>
using namespace std;
#define T pair<int,int>
#define pb emplace_back
#define db(val) "[" #val " = " << (val) << "] "
const int maxn = 1e5 + 4;
struct DisjointSet {
vector<int> par, Rank;
DisjointSet(int n) {
par.resize(n + 4); Rank.resize(n + 4);
for (int i = 1; i <= n; i++)
par[i] = i, Rank[i] = 1;
}
int find(int x) {
if (x != par[x]) par[x] = find(par[x]);
return par[x];
}
bool join(int u, int v) {
u = find(u); v = find(v);
if (u == v) return 0;
if (Rank[u] < Rank[v]) swap(u, v);
Rank[u] += Rank[v];
par[v] = u;
return 1;
}
};
int n, m, dis[maxn], s[maxn], t[maxn], L[maxn], R[maxn], res[maxn];
vector<T> adj[maxn];
T node[maxn];
vector<int> vals, myVec[maxn];
int main()
{
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n >> m;
for (int i = 1, u, v, w; i <= m; i++) {
cin >> u >> v >> w;
adj[u].pb(v, w);
adj[v].pb(u, w);
}
priority_queue<T, vector<T>, greater<T>> pq;
int q; cin >> q;
memset(dis, 63, sizeof dis);
while (q--) {
int u; cin >> u;
pq.push({0, u});
dis[u] = 0;
}
while (!pq.empty()) {
int d, u; tie(d, u) = pq.top(); pq.pop();
node[u] = {dis[u], u};
if (dis[u] != d) continue;
for (auto it : adj[u]) {
int v, w; tie(v, w) = it;
if (dis[u] + w < dis[v])
dis[v] = dis[u] + w,
pq.push({dis[v], v});
}
}
sort(node + 1, node + 1 + n);
sort(vals.begin(), vals.end());
cin >> q;
for (int i = 1; i <= q; i++)
cin >> s[i] >> t[i],
L[i] = 1, R[i] = n;
for (int time = 1; time <= 30; time++) {
for (int i = 1; i <= q; i++)
myVec[(L[i] + R[i]) / 2].pb(i);
DisjointSet Dsu(n);
for (int i = n; i >= 1; i--) {
int u = node[i].second;
for (auto it : adj[u]) {
int v, w; tie(v, w) = it;
if (dis[v] >= dis[u])
Dsu.join(u, v);
}
while (!myVec[i].empty()) {
int id = myVec[i].back(); myVec[i].pop_back();
if (Dsu.find(s[id]) == Dsu.find(t[id]))
res[id] = dis[u],
L[id] = i + 1;
else R[id] = i - 1;
}
}
}
for (int i = 1; i <= q; i++)
cout << res[i] << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
5460 KB |
Output is correct |
2 |
Correct |
5 ms |
5588 KB |
Output is correct |
3 |
Correct |
5 ms |
5552 KB |
Output is correct |
4 |
Correct |
3 ms |
5412 KB |
Output is correct |
5 |
Correct |
5 ms |
5468 KB |
Output is correct |
6 |
Correct |
5 ms |
5588 KB |
Output is correct |
7 |
Correct |
3 ms |
5416 KB |
Output is correct |
8 |
Correct |
3 ms |
5332 KB |
Output is correct |
9 |
Correct |
6 ms |
5588 KB |
Output is correct |
10 |
Correct |
6 ms |
5588 KB |
Output is correct |
11 |
Correct |
5 ms |
5588 KB |
Output is correct |
12 |
Correct |
5 ms |
5552 KB |
Output is correct |
13 |
Correct |
5 ms |
5588 KB |
Output is correct |
14 |
Correct |
6 ms |
5596 KB |
Output is correct |
15 |
Correct |
5 ms |
5588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
5460 KB |
Output is correct |
2 |
Correct |
5 ms |
5588 KB |
Output is correct |
3 |
Correct |
5 ms |
5552 KB |
Output is correct |
4 |
Correct |
3 ms |
5412 KB |
Output is correct |
5 |
Correct |
5 ms |
5468 KB |
Output is correct |
6 |
Correct |
5 ms |
5588 KB |
Output is correct |
7 |
Correct |
3 ms |
5416 KB |
Output is correct |
8 |
Correct |
3 ms |
5332 KB |
Output is correct |
9 |
Correct |
6 ms |
5588 KB |
Output is correct |
10 |
Correct |
6 ms |
5588 KB |
Output is correct |
11 |
Correct |
5 ms |
5588 KB |
Output is correct |
12 |
Correct |
5 ms |
5552 KB |
Output is correct |
13 |
Correct |
5 ms |
5588 KB |
Output is correct |
14 |
Correct |
6 ms |
5596 KB |
Output is correct |
15 |
Correct |
5 ms |
5588 KB |
Output is correct |
16 |
Correct |
686 ms |
24736 KB |
Output is correct |
17 |
Correct |
1461 ms |
42984 KB |
Output is correct |
18 |
Correct |
74 ms |
8748 KB |
Output is correct |
19 |
Correct |
292 ms |
24064 KB |
Output is correct |
20 |
Correct |
1458 ms |
42916 KB |
Output is correct |
21 |
Correct |
844 ms |
30368 KB |
Output is correct |
22 |
Correct |
570 ms |
25328 KB |
Output is correct |
23 |
Correct |
1442 ms |
42904 KB |
Output is correct |
24 |
Correct |
1458 ms |
42844 KB |
Output is correct |
25 |
Correct |
1435 ms |
42872 KB |
Output is correct |
26 |
Correct |
328 ms |
24984 KB |
Output is correct |
27 |
Correct |
293 ms |
24124 KB |
Output is correct |
28 |
Correct |
297 ms |
24284 KB |
Output is correct |
29 |
Correct |
315 ms |
23532 KB |
Output is correct |
30 |
Correct |
292 ms |
23872 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5332 KB |
Output is correct |
2 |
Correct |
3 ms |
5416 KB |
Output is correct |
3 |
Correct |
3 ms |
5332 KB |
Output is correct |
4 |
Correct |
3 ms |
5332 KB |
Output is correct |
5 |
Correct |
3 ms |
5460 KB |
Output is correct |
6 |
Correct |
3 ms |
5460 KB |
Output is correct |
7 |
Correct |
4 ms |
5416 KB |
Output is correct |
8 |
Correct |
3 ms |
5412 KB |
Output is correct |
9 |
Correct |
4 ms |
5332 KB |
Output is correct |
10 |
Correct |
3 ms |
5332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
728 ms |
17272 KB |
Output is correct |
2 |
Correct |
1088 ms |
30076 KB |
Output is correct |
3 |
Correct |
1095 ms |
30120 KB |
Output is correct |
4 |
Correct |
222 ms |
11828 KB |
Output is correct |
5 |
Correct |
1082 ms |
30148 KB |
Output is correct |
6 |
Correct |
1055 ms |
30300 KB |
Output is correct |
7 |
Correct |
1137 ms |
30168 KB |
Output is correct |
8 |
Correct |
1077 ms |
30148 KB |
Output is correct |
9 |
Correct |
1042 ms |
30032 KB |
Output is correct |
10 |
Correct |
1066 ms |
30132 KB |
Output is correct |
11 |
Correct |
1070 ms |
30216 KB |
Output is correct |
12 |
Correct |
1102 ms |
30136 KB |
Output is correct |
13 |
Correct |
1044 ms |
30016 KB |
Output is correct |
14 |
Correct |
1077 ms |
30092 KB |
Output is correct |
15 |
Correct |
1079 ms |
30492 KB |
Output is correct |
16 |
Correct |
1081 ms |
30144 KB |
Output is correct |
17 |
Correct |
1196 ms |
30076 KB |
Output is correct |
18 |
Correct |
1197 ms |
30164 KB |
Output is correct |
19 |
Correct |
198 ms |
11772 KB |
Output is correct |
20 |
Correct |
1147 ms |
30076 KB |
Output is correct |
21 |
Correct |
962 ms |
30204 KB |
Output is correct |
22 |
Correct |
304 ms |
13340 KB |
Output is correct |
23 |
Correct |
312 ms |
12288 KB |
Output is correct |
24 |
Correct |
245 ms |
13340 KB |
Output is correct |
25 |
Correct |
275 ms |
13336 KB |
Output is correct |
26 |
Correct |
361 ms |
12420 KB |
Output is correct |
27 |
Correct |
251 ms |
11860 KB |
Output is correct |
28 |
Correct |
247 ms |
13336 KB |
Output is correct |
29 |
Correct |
247 ms |
11776 KB |
Output is correct |
30 |
Correct |
234 ms |
13300 KB |
Output is correct |
31 |
Correct |
248 ms |
11768 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
5460 KB |
Output is correct |
2 |
Correct |
5 ms |
5588 KB |
Output is correct |
3 |
Correct |
5 ms |
5552 KB |
Output is correct |
4 |
Correct |
3 ms |
5412 KB |
Output is correct |
5 |
Correct |
5 ms |
5468 KB |
Output is correct |
6 |
Correct |
5 ms |
5588 KB |
Output is correct |
7 |
Correct |
3 ms |
5416 KB |
Output is correct |
8 |
Correct |
3 ms |
5332 KB |
Output is correct |
9 |
Correct |
6 ms |
5588 KB |
Output is correct |
10 |
Correct |
6 ms |
5588 KB |
Output is correct |
11 |
Correct |
5 ms |
5588 KB |
Output is correct |
12 |
Correct |
5 ms |
5552 KB |
Output is correct |
13 |
Correct |
5 ms |
5588 KB |
Output is correct |
14 |
Correct |
6 ms |
5596 KB |
Output is correct |
15 |
Correct |
5 ms |
5588 KB |
Output is correct |
16 |
Correct |
686 ms |
24736 KB |
Output is correct |
17 |
Correct |
1461 ms |
42984 KB |
Output is correct |
18 |
Correct |
74 ms |
8748 KB |
Output is correct |
19 |
Correct |
292 ms |
24064 KB |
Output is correct |
20 |
Correct |
1458 ms |
42916 KB |
Output is correct |
21 |
Correct |
844 ms |
30368 KB |
Output is correct |
22 |
Correct |
570 ms |
25328 KB |
Output is correct |
23 |
Correct |
1442 ms |
42904 KB |
Output is correct |
24 |
Correct |
1458 ms |
42844 KB |
Output is correct |
25 |
Correct |
1435 ms |
42872 KB |
Output is correct |
26 |
Correct |
328 ms |
24984 KB |
Output is correct |
27 |
Correct |
293 ms |
24124 KB |
Output is correct |
28 |
Correct |
297 ms |
24284 KB |
Output is correct |
29 |
Correct |
315 ms |
23532 KB |
Output is correct |
30 |
Correct |
292 ms |
23872 KB |
Output is correct |
31 |
Correct |
3 ms |
5332 KB |
Output is correct |
32 |
Correct |
3 ms |
5416 KB |
Output is correct |
33 |
Correct |
3 ms |
5332 KB |
Output is correct |
34 |
Correct |
3 ms |
5332 KB |
Output is correct |
35 |
Correct |
3 ms |
5460 KB |
Output is correct |
36 |
Correct |
3 ms |
5460 KB |
Output is correct |
37 |
Correct |
4 ms |
5416 KB |
Output is correct |
38 |
Correct |
3 ms |
5412 KB |
Output is correct |
39 |
Correct |
4 ms |
5332 KB |
Output is correct |
40 |
Correct |
3 ms |
5332 KB |
Output is correct |
41 |
Correct |
728 ms |
17272 KB |
Output is correct |
42 |
Correct |
1088 ms |
30076 KB |
Output is correct |
43 |
Correct |
1095 ms |
30120 KB |
Output is correct |
44 |
Correct |
222 ms |
11828 KB |
Output is correct |
45 |
Correct |
1082 ms |
30148 KB |
Output is correct |
46 |
Correct |
1055 ms |
30300 KB |
Output is correct |
47 |
Correct |
1137 ms |
30168 KB |
Output is correct |
48 |
Correct |
1077 ms |
30148 KB |
Output is correct |
49 |
Correct |
1042 ms |
30032 KB |
Output is correct |
50 |
Correct |
1066 ms |
30132 KB |
Output is correct |
51 |
Correct |
1070 ms |
30216 KB |
Output is correct |
52 |
Correct |
1102 ms |
30136 KB |
Output is correct |
53 |
Correct |
1044 ms |
30016 KB |
Output is correct |
54 |
Correct |
1077 ms |
30092 KB |
Output is correct |
55 |
Correct |
1079 ms |
30492 KB |
Output is correct |
56 |
Correct |
1081 ms |
30144 KB |
Output is correct |
57 |
Correct |
1196 ms |
30076 KB |
Output is correct |
58 |
Correct |
1197 ms |
30164 KB |
Output is correct |
59 |
Correct |
198 ms |
11772 KB |
Output is correct |
60 |
Correct |
1147 ms |
30076 KB |
Output is correct |
61 |
Correct |
962 ms |
30204 KB |
Output is correct |
62 |
Correct |
304 ms |
13340 KB |
Output is correct |
63 |
Correct |
312 ms |
12288 KB |
Output is correct |
64 |
Correct |
245 ms |
13340 KB |
Output is correct |
65 |
Correct |
275 ms |
13336 KB |
Output is correct |
66 |
Correct |
361 ms |
12420 KB |
Output is correct |
67 |
Correct |
251 ms |
11860 KB |
Output is correct |
68 |
Correct |
247 ms |
13336 KB |
Output is correct |
69 |
Correct |
247 ms |
11776 KB |
Output is correct |
70 |
Correct |
234 ms |
13300 KB |
Output is correct |
71 |
Correct |
248 ms |
11768 KB |
Output is correct |
72 |
Correct |
1108 ms |
29440 KB |
Output is correct |
73 |
Correct |
1647 ms |
42832 KB |
Output is correct |
74 |
Correct |
1657 ms |
42784 KB |
Output is correct |
75 |
Correct |
1538 ms |
42588 KB |
Output is correct |
76 |
Correct |
1564 ms |
42704 KB |
Output is correct |
77 |
Correct |
1561 ms |
42792 KB |
Output is correct |
78 |
Correct |
1529 ms |
42764 KB |
Output is correct |
79 |
Correct |
1486 ms |
42704 KB |
Output is correct |
80 |
Correct |
1543 ms |
42756 KB |
Output is correct |
81 |
Correct |
1501 ms |
42740 KB |
Output is correct |
82 |
Correct |
1600 ms |
42628 KB |
Output is correct |
83 |
Correct |
1608 ms |
42736 KB |
Output is correct |
84 |
Correct |
1551 ms |
42700 KB |
Output is correct |
85 |
Correct |
1635 ms |
42832 KB |
Output is correct |
86 |
Correct |
1547 ms |
42716 KB |
Output is correct |
87 |
Correct |
1489 ms |
42824 KB |
Output is correct |
88 |
Correct |
1594 ms |
42764 KB |
Output is correct |
89 |
Correct |
585 ms |
25348 KB |
Output is correct |
90 |
Correct |
1623 ms |
42724 KB |
Output is correct |
91 |
Correct |
1253 ms |
41508 KB |
Output is correct |
92 |
Correct |
340 ms |
23868 KB |
Output is correct |
93 |
Correct |
627 ms |
24000 KB |
Output is correct |
94 |
Correct |
369 ms |
24976 KB |
Output is correct |
95 |
Correct |
383 ms |
23508 KB |
Output is correct |
96 |
Correct |
559 ms |
22944 KB |
Output is correct |
97 |
Correct |
585 ms |
24416 KB |
Output is correct |
98 |
Correct |
323 ms |
24456 KB |
Output is correct |
99 |
Correct |
555 ms |
24128 KB |
Output is correct |
100 |
Correct |
330 ms |
24648 KB |
Output is correct |