#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 <= 17; 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 |
3 ms |
5332 KB |
Output is correct |
2 |
Correct |
4 ms |
5460 KB |
Output is correct |
3 |
Correct |
4 ms |
5460 KB |
Output is correct |
4 |
Correct |
4 ms |
5332 KB |
Output is correct |
5 |
Correct |
5 ms |
5460 KB |
Output is correct |
6 |
Correct |
6 ms |
5572 KB |
Output is correct |
7 |
Correct |
5 ms |
5332 KB |
Output is correct |
8 |
Correct |
3 ms |
5332 KB |
Output is correct |
9 |
Correct |
5 ms |
5472 KB |
Output is correct |
10 |
Correct |
5 ms |
5460 KB |
Output is correct |
11 |
Correct |
5 ms |
5588 KB |
Output is correct |
12 |
Correct |
5 ms |
5460 KB |
Output is correct |
13 |
Correct |
5 ms |
5588 KB |
Output is correct |
14 |
Correct |
5 ms |
5588 KB |
Output is correct |
15 |
Correct |
5 ms |
5588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5332 KB |
Output is correct |
2 |
Correct |
4 ms |
5460 KB |
Output is correct |
3 |
Correct |
4 ms |
5460 KB |
Output is correct |
4 |
Correct |
4 ms |
5332 KB |
Output is correct |
5 |
Correct |
5 ms |
5460 KB |
Output is correct |
6 |
Correct |
6 ms |
5572 KB |
Output is correct |
7 |
Correct |
5 ms |
5332 KB |
Output is correct |
8 |
Correct |
3 ms |
5332 KB |
Output is correct |
9 |
Correct |
5 ms |
5472 KB |
Output is correct |
10 |
Correct |
5 ms |
5460 KB |
Output is correct |
11 |
Correct |
5 ms |
5588 KB |
Output is correct |
12 |
Correct |
5 ms |
5460 KB |
Output is correct |
13 |
Correct |
5 ms |
5588 KB |
Output is correct |
14 |
Correct |
5 ms |
5588 KB |
Output is correct |
15 |
Correct |
5 ms |
5588 KB |
Output is correct |
16 |
Correct |
534 ms |
21776 KB |
Output is correct |
17 |
Correct |
1095 ms |
33532 KB |
Output is correct |
18 |
Correct |
58 ms |
7940 KB |
Output is correct |
19 |
Correct |
218 ms |
21144 KB |
Output is correct |
20 |
Correct |
985 ms |
33484 KB |
Output is correct |
21 |
Correct |
525 ms |
25624 KB |
Output is correct |
22 |
Correct |
289 ms |
22456 KB |
Output is correct |
23 |
Correct |
914 ms |
33544 KB |
Output is correct |
24 |
Correct |
885 ms |
33392 KB |
Output is correct |
25 |
Correct |
886 ms |
33448 KB |
Output is correct |
26 |
Correct |
202 ms |
22092 KB |
Output is correct |
27 |
Correct |
206 ms |
21012 KB |
Output is correct |
28 |
Correct |
208 ms |
21340 KB |
Output is correct |
29 |
Correct |
207 ms |
20556 KB |
Output is correct |
30 |
Correct |
195 ms |
20800 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5332 KB |
Output is correct |
2 |
Correct |
3 ms |
5332 KB |
Output is correct |
3 |
Correct |
3 ms |
5332 KB |
Output is correct |
4 |
Correct |
4 ms |
5332 KB |
Output is correct |
5 |
Correct |
4 ms |
5332 KB |
Output is correct |
6 |
Correct |
3 ms |
5332 KB |
Output is correct |
7 |
Correct |
3 ms |
5448 KB |
Output is correct |
8 |
Correct |
3 ms |
5332 KB |
Output is correct |
9 |
Correct |
3 ms |
5332 KB |
Output is correct |
10 |
Correct |
3 ms |
5332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
431 ms |
14040 KB |
Output is correct |
2 |
Correct |
709 ms |
22016 KB |
Output is correct |
3 |
Correct |
713 ms |
22032 KB |
Output is correct |
4 |
Correct |
139 ms |
10172 KB |
Output is correct |
5 |
Correct |
713 ms |
21928 KB |
Output is correct |
6 |
Correct |
712 ms |
21920 KB |
Output is correct |
7 |
Correct |
710 ms |
22024 KB |
Output is correct |
8 |
Correct |
785 ms |
21984 KB |
Output is correct |
9 |
Correct |
776 ms |
22072 KB |
Output is correct |
10 |
Correct |
802 ms |
21976 KB |
Output is correct |
11 |
Correct |
798 ms |
21956 KB |
Output is correct |
12 |
Correct |
798 ms |
21980 KB |
Output is correct |
13 |
Correct |
806 ms |
22012 KB |
Output is correct |
14 |
Correct |
754 ms |
21956 KB |
Output is correct |
15 |
Correct |
783 ms |
22396 KB |
Output is correct |
16 |
Correct |
746 ms |
21968 KB |
Output is correct |
17 |
Correct |
764 ms |
21968 KB |
Output is correct |
18 |
Correct |
767 ms |
21984 KB |
Output is correct |
19 |
Correct |
128 ms |
10196 KB |
Output is correct |
20 |
Correct |
758 ms |
22020 KB |
Output is correct |
21 |
Correct |
588 ms |
21820 KB |
Output is correct |
22 |
Correct |
146 ms |
11668 KB |
Output is correct |
23 |
Correct |
209 ms |
10648 KB |
Output is correct |
24 |
Correct |
142 ms |
11664 KB |
Output is correct |
25 |
Correct |
156 ms |
11664 KB |
Output is correct |
26 |
Correct |
215 ms |
10752 KB |
Output is correct |
27 |
Correct |
147 ms |
10124 KB |
Output is correct |
28 |
Correct |
146 ms |
11660 KB |
Output is correct |
29 |
Correct |
161 ms |
10120 KB |
Output is correct |
30 |
Correct |
149 ms |
11572 KB |
Output is correct |
31 |
Correct |
143 ms |
10096 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5332 KB |
Output is correct |
2 |
Correct |
4 ms |
5460 KB |
Output is correct |
3 |
Correct |
4 ms |
5460 KB |
Output is correct |
4 |
Correct |
4 ms |
5332 KB |
Output is correct |
5 |
Correct |
5 ms |
5460 KB |
Output is correct |
6 |
Correct |
6 ms |
5572 KB |
Output is correct |
7 |
Correct |
5 ms |
5332 KB |
Output is correct |
8 |
Correct |
3 ms |
5332 KB |
Output is correct |
9 |
Correct |
5 ms |
5472 KB |
Output is correct |
10 |
Correct |
5 ms |
5460 KB |
Output is correct |
11 |
Correct |
5 ms |
5588 KB |
Output is correct |
12 |
Correct |
5 ms |
5460 KB |
Output is correct |
13 |
Correct |
5 ms |
5588 KB |
Output is correct |
14 |
Correct |
5 ms |
5588 KB |
Output is correct |
15 |
Correct |
5 ms |
5588 KB |
Output is correct |
16 |
Correct |
534 ms |
21776 KB |
Output is correct |
17 |
Correct |
1095 ms |
33532 KB |
Output is correct |
18 |
Correct |
58 ms |
7940 KB |
Output is correct |
19 |
Correct |
218 ms |
21144 KB |
Output is correct |
20 |
Correct |
985 ms |
33484 KB |
Output is correct |
21 |
Correct |
525 ms |
25624 KB |
Output is correct |
22 |
Correct |
289 ms |
22456 KB |
Output is correct |
23 |
Correct |
914 ms |
33544 KB |
Output is correct |
24 |
Correct |
885 ms |
33392 KB |
Output is correct |
25 |
Correct |
886 ms |
33448 KB |
Output is correct |
26 |
Correct |
202 ms |
22092 KB |
Output is correct |
27 |
Correct |
206 ms |
21012 KB |
Output is correct |
28 |
Correct |
208 ms |
21340 KB |
Output is correct |
29 |
Correct |
207 ms |
20556 KB |
Output is correct |
30 |
Correct |
195 ms |
20800 KB |
Output is correct |
31 |
Correct |
3 ms |
5332 KB |
Output is correct |
32 |
Correct |
3 ms |
5332 KB |
Output is correct |
33 |
Correct |
3 ms |
5332 KB |
Output is correct |
34 |
Correct |
4 ms |
5332 KB |
Output is correct |
35 |
Correct |
4 ms |
5332 KB |
Output is correct |
36 |
Correct |
3 ms |
5332 KB |
Output is correct |
37 |
Correct |
3 ms |
5448 KB |
Output is correct |
38 |
Correct |
3 ms |
5332 KB |
Output is correct |
39 |
Correct |
3 ms |
5332 KB |
Output is correct |
40 |
Correct |
3 ms |
5332 KB |
Output is correct |
41 |
Correct |
431 ms |
14040 KB |
Output is correct |
42 |
Correct |
709 ms |
22016 KB |
Output is correct |
43 |
Correct |
713 ms |
22032 KB |
Output is correct |
44 |
Correct |
139 ms |
10172 KB |
Output is correct |
45 |
Correct |
713 ms |
21928 KB |
Output is correct |
46 |
Correct |
712 ms |
21920 KB |
Output is correct |
47 |
Correct |
710 ms |
22024 KB |
Output is correct |
48 |
Correct |
785 ms |
21984 KB |
Output is correct |
49 |
Correct |
776 ms |
22072 KB |
Output is correct |
50 |
Correct |
802 ms |
21976 KB |
Output is correct |
51 |
Correct |
798 ms |
21956 KB |
Output is correct |
52 |
Correct |
798 ms |
21980 KB |
Output is correct |
53 |
Correct |
806 ms |
22012 KB |
Output is correct |
54 |
Correct |
754 ms |
21956 KB |
Output is correct |
55 |
Correct |
783 ms |
22396 KB |
Output is correct |
56 |
Correct |
746 ms |
21968 KB |
Output is correct |
57 |
Correct |
764 ms |
21968 KB |
Output is correct |
58 |
Correct |
767 ms |
21984 KB |
Output is correct |
59 |
Correct |
128 ms |
10196 KB |
Output is correct |
60 |
Correct |
758 ms |
22020 KB |
Output is correct |
61 |
Correct |
588 ms |
21820 KB |
Output is correct |
62 |
Correct |
146 ms |
11668 KB |
Output is correct |
63 |
Correct |
209 ms |
10648 KB |
Output is correct |
64 |
Correct |
142 ms |
11664 KB |
Output is correct |
65 |
Correct |
156 ms |
11664 KB |
Output is correct |
66 |
Correct |
215 ms |
10752 KB |
Output is correct |
67 |
Correct |
147 ms |
10124 KB |
Output is correct |
68 |
Correct |
146 ms |
11660 KB |
Output is correct |
69 |
Correct |
161 ms |
10120 KB |
Output is correct |
70 |
Correct |
149 ms |
11572 KB |
Output is correct |
71 |
Correct |
143 ms |
10096 KB |
Output is correct |
72 |
Correct |
578 ms |
24952 KB |
Output is correct |
73 |
Correct |
897 ms |
33408 KB |
Output is correct |
74 |
Correct |
894 ms |
33452 KB |
Output is correct |
75 |
Correct |
881 ms |
33280 KB |
Output is correct |
76 |
Correct |
953 ms |
33272 KB |
Output is correct |
77 |
Correct |
955 ms |
33464 KB |
Output is correct |
78 |
Correct |
927 ms |
33416 KB |
Output is correct |
79 |
Correct |
905 ms |
33380 KB |
Output is correct |
80 |
Correct |
926 ms |
33364 KB |
Output is correct |
81 |
Correct |
912 ms |
33296 KB |
Output is correct |
82 |
Correct |
985 ms |
33324 KB |
Output is correct |
83 |
Correct |
890 ms |
33552 KB |
Output is correct |
84 |
Correct |
869 ms |
33276 KB |
Output is correct |
85 |
Correct |
939 ms |
33380 KB |
Output is correct |
86 |
Correct |
935 ms |
33308 KB |
Output is correct |
87 |
Correct |
963 ms |
33368 KB |
Output is correct |
88 |
Correct |
912 ms |
33420 KB |
Output is correct |
89 |
Correct |
328 ms |
22396 KB |
Output is correct |
90 |
Correct |
962 ms |
33276 KB |
Output is correct |
91 |
Correct |
743 ms |
31684 KB |
Output is correct |
92 |
Correct |
218 ms |
21000 KB |
Output is correct |
93 |
Correct |
319 ms |
21172 KB |
Output is correct |
94 |
Correct |
203 ms |
22208 KB |
Output is correct |
95 |
Correct |
214 ms |
20628 KB |
Output is correct |
96 |
Correct |
351 ms |
20004 KB |
Output is correct |
97 |
Correct |
324 ms |
21196 KB |
Output is correct |
98 |
Correct |
209 ms |
21552 KB |
Output is correct |
99 |
Correct |
297 ms |
21176 KB |
Output is correct |
100 |
Correct |
210 ms |
21760 KB |
Output is correct |