#include <bits/stdc++.h>
#define all(i) i.begin(), i.end()
#define rall(i) i.rbegin(), i.rend()
using namespace std;
typedef long long ll;
typedef pair<int, int> pi;
struct sq {
int u, l, d, r;
sq() = default;
sq(int _u, int _l, int _d, int _r) : u(_u), l(_l), d(_d), r(_r) {}
};
int main() {
ios::sync_with_stdio(0), cin.tie(0);
int n, m;
cin >> n >> m;
vector<vector<pi>> g(n);
for (int i = 0; i < m; ++i) {
int x, y, z;
cin >> x >> y >> z;
--x, --y;
g[x].emplace_back(y, z), g[y].emplace_back(x, z);
}
int k;
cin >> k;
vector<int> dis(n, -1);
priority_queue<pi, vector<pi>, greater<pi>> pq;
for (int i = 0; i < k; ++i) {
int x;
cin >> x;
--x;
pq.emplace(0, x);
}
while (!pq.empty()) {
int d = pq.top().first, i = pq.top().second;
pq.pop();
if (dis[i] != -1) continue;
dis[i] = d;
for (pi j : g[i]) if (dis[j.first] == -1)
pq.emplace(d + j.second, j.first);
}
vector<int> ord(n);
iota(all(ord), 0);
sort(all(ord), [&](int i, int j){return dis[i] > dis[j] || dis[i] == dis[j] && i < j;});
vector<pi> p(n, pi(-1, -1));
vector<int> rank(n, -1);
function<int(int)> find = [&](int i) {
return p[i].first == -1 ? i : find(p[i].first);
};
for (int i : ord) {
rank[i] = 0;
int _t = dis[i];
for (pi j : g[i]) if (~rank[j.first]) {
int x = find(j.first);
if (x == i) continue;
if (rank[x] > rank[i]) p[i] = pi(x, _t), i = x;
else if (rank[i] > rank[x]) p[x] = pi(i, _t);
else p[x] = pi(i, _t), ++rank[i];
}
}
int q;
cin >> q;
while (q--) {
int s, t;
cin >> s >> t;
--s, --t;
int ans = min(dis[s], dis[t]);
while (p[s].second >= ans) s = p[s].first;
while (p[t].second >= ans) t = p[t].first;
while (s != t) {
ans = max(p[s].second, p[t].second);
while (p[s].second >= ans) s = p[s].first;
while (p[t].second >= ans) t = p[t].first;
}
cout << ans << '\n';
}
}
/*
* dijkstra min dis(i, g) for every i
* sort 321, add, get persistent dsu, rank, record time
* for q : find max k that s-t connected, every time max(p[s], p[t]) till s = t
*/
Compilation message
plan.cpp: In lambda function:
plan.cpp:43:81: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
43 | sort(all(ord), [&](int i, int j){return dis[i] > dis[j] || dis[i] == dis[j] && i < j;});
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
492 KB |
Output is correct |
3 |
Correct |
1 ms |
492 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
2 ms |
640 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
492 KB |
Output is correct |
10 |
Correct |
2 ms |
492 KB |
Output is correct |
11 |
Correct |
1 ms |
492 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
2 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
492 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
492 KB |
Output is correct |
3 |
Correct |
1 ms |
492 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
2 ms |
640 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
492 KB |
Output is correct |
10 |
Correct |
2 ms |
492 KB |
Output is correct |
11 |
Correct |
1 ms |
492 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
2 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
492 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
140 ms |
8240 KB |
Output is correct |
17 |
Correct |
552 ms |
21976 KB |
Output is correct |
18 |
Correct |
33 ms |
2408 KB |
Output is correct |
19 |
Correct |
130 ms |
9820 KB |
Output is correct |
20 |
Correct |
547 ms |
21976 KB |
Output is correct |
21 |
Correct |
266 ms |
12516 KB |
Output is correct |
22 |
Correct |
112 ms |
8684 KB |
Output is correct |
23 |
Correct |
548 ms |
22072 KB |
Output is correct |
24 |
Correct |
551 ms |
21980 KB |
Output is correct |
25 |
Correct |
585 ms |
21976 KB |
Output is correct |
26 |
Correct |
127 ms |
9564 KB |
Output is correct |
27 |
Correct |
142 ms |
9604 KB |
Output is correct |
28 |
Correct |
129 ms |
9564 KB |
Output is correct |
29 |
Correct |
131 ms |
9832 KB |
Output is correct |
30 |
Correct |
137 ms |
9820 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
220 ms |
11996 KB |
Output is correct |
2 |
Correct |
513 ms |
21468 KB |
Output is correct |
3 |
Correct |
514 ms |
21464 KB |
Output is correct |
4 |
Correct |
79 ms |
7788 KB |
Output is correct |
5 |
Correct |
511 ms |
21592 KB |
Output is correct |
6 |
Correct |
522 ms |
21596 KB |
Output is correct |
7 |
Correct |
522 ms |
21588 KB |
Output is correct |
8 |
Correct |
528 ms |
21720 KB |
Output is correct |
9 |
Correct |
543 ms |
21592 KB |
Output is correct |
10 |
Correct |
506 ms |
21544 KB |
Output is correct |
11 |
Correct |
522 ms |
21596 KB |
Output is correct |
12 |
Correct |
511 ms |
21720 KB |
Output is correct |
13 |
Correct |
523 ms |
21532 KB |
Output is correct |
14 |
Correct |
536 ms |
21596 KB |
Output is correct |
15 |
Correct |
507 ms |
21592 KB |
Output is correct |
16 |
Correct |
535 ms |
21848 KB |
Output is correct |
17 |
Correct |
542 ms |
21464 KB |
Output is correct |
18 |
Correct |
521 ms |
21488 KB |
Output is correct |
19 |
Correct |
74 ms |
7788 KB |
Output is correct |
20 |
Correct |
517 ms |
21464 KB |
Output is correct |
21 |
Correct |
504 ms |
22616 KB |
Output is correct |
22 |
Correct |
114 ms |
9308 KB |
Output is correct |
23 |
Correct |
90 ms |
8300 KB |
Output is correct |
24 |
Correct |
101 ms |
9308 KB |
Output is correct |
25 |
Correct |
99 ms |
9308 KB |
Output is correct |
26 |
Correct |
97 ms |
8428 KB |
Output is correct |
27 |
Correct |
74 ms |
7788 KB |
Output is correct |
28 |
Correct |
96 ms |
9308 KB |
Output is correct |
29 |
Correct |
79 ms |
7788 KB |
Output is correct |
30 |
Correct |
100 ms |
9308 KB |
Output is correct |
31 |
Correct |
82 ms |
7788 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
492 KB |
Output is correct |
3 |
Correct |
1 ms |
492 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
2 ms |
640 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
492 KB |
Output is correct |
10 |
Correct |
2 ms |
492 KB |
Output is correct |
11 |
Correct |
1 ms |
492 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
2 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
492 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
140 ms |
8240 KB |
Output is correct |
17 |
Correct |
552 ms |
21976 KB |
Output is correct |
18 |
Correct |
33 ms |
2408 KB |
Output is correct |
19 |
Correct |
130 ms |
9820 KB |
Output is correct |
20 |
Correct |
547 ms |
21976 KB |
Output is correct |
21 |
Correct |
266 ms |
12516 KB |
Output is correct |
22 |
Correct |
112 ms |
8684 KB |
Output is correct |
23 |
Correct |
548 ms |
22072 KB |
Output is correct |
24 |
Correct |
551 ms |
21980 KB |
Output is correct |
25 |
Correct |
585 ms |
21976 KB |
Output is correct |
26 |
Correct |
127 ms |
9564 KB |
Output is correct |
27 |
Correct |
142 ms |
9604 KB |
Output is correct |
28 |
Correct |
129 ms |
9564 KB |
Output is correct |
29 |
Correct |
131 ms |
9832 KB |
Output is correct |
30 |
Correct |
137 ms |
9820 KB |
Output is correct |
31 |
Correct |
1 ms |
364 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
1 ms |
364 KB |
Output is correct |
35 |
Correct |
1 ms |
364 KB |
Output is correct |
36 |
Correct |
1 ms |
364 KB |
Output is correct |
37 |
Correct |
1 ms |
364 KB |
Output is correct |
38 |
Correct |
1 ms |
364 KB |
Output is correct |
39 |
Correct |
1 ms |
364 KB |
Output is correct |
40 |
Correct |
1 ms |
364 KB |
Output is correct |
41 |
Correct |
220 ms |
11996 KB |
Output is correct |
42 |
Correct |
513 ms |
21468 KB |
Output is correct |
43 |
Correct |
514 ms |
21464 KB |
Output is correct |
44 |
Correct |
79 ms |
7788 KB |
Output is correct |
45 |
Correct |
511 ms |
21592 KB |
Output is correct |
46 |
Correct |
522 ms |
21596 KB |
Output is correct |
47 |
Correct |
522 ms |
21588 KB |
Output is correct |
48 |
Correct |
528 ms |
21720 KB |
Output is correct |
49 |
Correct |
543 ms |
21592 KB |
Output is correct |
50 |
Correct |
506 ms |
21544 KB |
Output is correct |
51 |
Correct |
522 ms |
21596 KB |
Output is correct |
52 |
Correct |
511 ms |
21720 KB |
Output is correct |
53 |
Correct |
523 ms |
21532 KB |
Output is correct |
54 |
Correct |
536 ms |
21596 KB |
Output is correct |
55 |
Correct |
507 ms |
21592 KB |
Output is correct |
56 |
Correct |
535 ms |
21848 KB |
Output is correct |
57 |
Correct |
542 ms |
21464 KB |
Output is correct |
58 |
Correct |
521 ms |
21488 KB |
Output is correct |
59 |
Correct |
74 ms |
7788 KB |
Output is correct |
60 |
Correct |
517 ms |
21464 KB |
Output is correct |
61 |
Correct |
504 ms |
22616 KB |
Output is correct |
62 |
Correct |
114 ms |
9308 KB |
Output is correct |
63 |
Correct |
90 ms |
8300 KB |
Output is correct |
64 |
Correct |
101 ms |
9308 KB |
Output is correct |
65 |
Correct |
99 ms |
9308 KB |
Output is correct |
66 |
Correct |
97 ms |
8428 KB |
Output is correct |
67 |
Correct |
74 ms |
7788 KB |
Output is correct |
68 |
Correct |
96 ms |
9308 KB |
Output is correct |
69 |
Correct |
79 ms |
7788 KB |
Output is correct |
70 |
Correct |
100 ms |
9308 KB |
Output is correct |
71 |
Correct |
82 ms |
7788 KB |
Output is correct |
72 |
Correct |
254 ms |
12388 KB |
Output is correct |
73 |
Correct |
547 ms |
22104 KB |
Output is correct |
74 |
Correct |
533 ms |
22104 KB |
Output is correct |
75 |
Correct |
569 ms |
22164 KB |
Output is correct |
76 |
Correct |
588 ms |
22156 KB |
Output is correct |
77 |
Correct |
537 ms |
22104 KB |
Output is correct |
78 |
Correct |
540 ms |
21976 KB |
Output is correct |
79 |
Correct |
589 ms |
21972 KB |
Output is correct |
80 |
Correct |
625 ms |
21972 KB |
Output is correct |
81 |
Correct |
584 ms |
22044 KB |
Output is correct |
82 |
Correct |
597 ms |
21888 KB |
Output is correct |
83 |
Correct |
599 ms |
22004 KB |
Output is correct |
84 |
Correct |
629 ms |
21852 KB |
Output is correct |
85 |
Correct |
568 ms |
21980 KB |
Output is correct |
86 |
Correct |
539 ms |
21976 KB |
Output is correct |
87 |
Correct |
581 ms |
22060 KB |
Output is correct |
88 |
Correct |
552 ms |
21976 KB |
Output is correct |
89 |
Correct |
109 ms |
8940 KB |
Output is correct |
90 |
Correct |
556 ms |
21972 KB |
Output is correct |
91 |
Correct |
531 ms |
22620 KB |
Output is correct |
92 |
Correct |
143 ms |
9692 KB |
Output is correct |
93 |
Correct |
126 ms |
9068 KB |
Output is correct |
94 |
Correct |
131 ms |
9600 KB |
Output is correct |
95 |
Correct |
126 ms |
9820 KB |
Output is correct |
96 |
Correct |
137 ms |
8812 KB |
Output is correct |
97 |
Correct |
106 ms |
8376 KB |
Output is correct |
98 |
Correct |
143 ms |
9648 KB |
Output is correct |
99 |
Correct |
103 ms |
8300 KB |
Output is correct |
100 |
Correct |
133 ms |
9820 KB |
Output is correct |