#include <bits/stdc++.h>
typedef long long ll;
using namespace std;
int cmp[100001];
ll sz[100001], ans = 0;
set<int> child[100001], graph[100001], rgraph[100001];
queue<pair<int, int>> to_merge;
void insert_weak_connection(int A, int B) {
graph[A].insert(B);
rgraph[B].insert(A);
if (graph[B].count(A)) to_merge.push({A, B});
}
int dsu_size(int A) {
return child[A].size() + graph[A].size() + rgraph[A].size();
}
int find(int A) { return (A == cmp[A] ? A : cmp[A] = find(cmp[A])); }
void onion(int A, int B) {
if (A == B) return;
if (dsu_size(A) < dsu_size(B)) swap(A, B);
ans += sz[B] * child[A].size() + sz[A] * child[B].size();
cmp[B] = A;
sz[A] += sz[B];
for (int i : child[B]) {
if (child[A].count(i)) ans -= sz[A];
else child[A].insert(i);
}
graph[A].erase(B), rgraph[A].erase(B);
graph[B].erase(A), rgraph[B].erase(A);
for (int i : graph[B]) {
rgraph[i].erase(B);
insert_weak_connection(A, i);
}
for (int i : rgraph[B]) {
graph[i].erase(B);
insert_weak_connection(i, A);
}
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int n, m;
cin >> n >> m;
for (int i = 1; i <= n; i++) {
cmp[i] = i;
sz[i] = 1;
child[i].insert(i);
}
while (m--) {
int A, B;
cin >> A >> B;
B = find(B);
if (find(A) != B && !child[B].count(A)) {
child[B].insert(A);
ans += sz[B];
A = find(A);
insert_weak_connection(A, B);
while (to_merge.size()) {
tie(A, B) = to_merge.front();
to_merge.pop();
onion(find(A), find(B));
}
}
cout << ans << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
14940 KB |
Output is correct |
2 |
Correct |
3 ms |
14992 KB |
Output is correct |
3 |
Correct |
4 ms |
14936 KB |
Output is correct |
4 |
Correct |
4 ms |
14940 KB |
Output is correct |
5 |
Correct |
4 ms |
15004 KB |
Output is correct |
6 |
Correct |
3 ms |
14940 KB |
Output is correct |
7 |
Correct |
4 ms |
15040 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
4 ms |
14936 KB |
Output is correct |
10 |
Correct |
5 ms |
14940 KB |
Output is correct |
11 |
Correct |
3 ms |
14940 KB |
Output is correct |
12 |
Correct |
3 ms |
14940 KB |
Output is correct |
13 |
Correct |
3 ms |
15000 KB |
Output is correct |
14 |
Correct |
3 ms |
14940 KB |
Output is correct |
15 |
Correct |
4 ms |
15000 KB |
Output is correct |
16 |
Correct |
3 ms |
14940 KB |
Output is correct |
17 |
Correct |
3 ms |
15012 KB |
Output is correct |
18 |
Correct |
3 ms |
14940 KB |
Output is correct |
19 |
Correct |
4 ms |
14940 KB |
Output is correct |
20 |
Correct |
3 ms |
14940 KB |
Output is correct |
21 |
Correct |
4 ms |
14940 KB |
Output is correct |
22 |
Correct |
3 ms |
15016 KB |
Output is correct |
23 |
Correct |
4 ms |
14940 KB |
Output is correct |
24 |
Correct |
3 ms |
15000 KB |
Output is correct |
25 |
Correct |
4 ms |
14940 KB |
Output is correct |
26 |
Correct |
3 ms |
14940 KB |
Output is correct |
27 |
Correct |
3 ms |
14940 KB |
Output is correct |
28 |
Correct |
3 ms |
14940 KB |
Output is correct |
29 |
Correct |
3 ms |
14940 KB |
Output is correct |
30 |
Correct |
5 ms |
14940 KB |
Output is correct |
31 |
Correct |
4 ms |
14940 KB |
Output is correct |
32 |
Correct |
3 ms |
14940 KB |
Output is correct |
33 |
Correct |
3 ms |
14940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
14940 KB |
Output is correct |
2 |
Correct |
3 ms |
14992 KB |
Output is correct |
3 |
Correct |
4 ms |
14936 KB |
Output is correct |
4 |
Correct |
4 ms |
14940 KB |
Output is correct |
5 |
Correct |
4 ms |
15004 KB |
Output is correct |
6 |
Correct |
3 ms |
14940 KB |
Output is correct |
7 |
Correct |
4 ms |
15040 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
4 ms |
14936 KB |
Output is correct |
10 |
Correct |
5 ms |
14940 KB |
Output is correct |
11 |
Correct |
3 ms |
14940 KB |
Output is correct |
12 |
Correct |
3 ms |
14940 KB |
Output is correct |
13 |
Correct |
3 ms |
15000 KB |
Output is correct |
14 |
Correct |
3 ms |
14940 KB |
Output is correct |
15 |
Correct |
4 ms |
15000 KB |
Output is correct |
16 |
Correct |
3 ms |
14940 KB |
Output is correct |
17 |
Correct |
3 ms |
15012 KB |
Output is correct |
18 |
Correct |
3 ms |
14940 KB |
Output is correct |
19 |
Correct |
4 ms |
14940 KB |
Output is correct |
20 |
Correct |
3 ms |
14940 KB |
Output is correct |
21 |
Correct |
4 ms |
14940 KB |
Output is correct |
22 |
Correct |
3 ms |
15016 KB |
Output is correct |
23 |
Correct |
4 ms |
14940 KB |
Output is correct |
24 |
Correct |
3 ms |
15000 KB |
Output is correct |
25 |
Correct |
4 ms |
14940 KB |
Output is correct |
26 |
Correct |
3 ms |
14940 KB |
Output is correct |
27 |
Correct |
3 ms |
14940 KB |
Output is correct |
28 |
Correct |
3 ms |
14940 KB |
Output is correct |
29 |
Correct |
3 ms |
14940 KB |
Output is correct |
30 |
Correct |
5 ms |
14940 KB |
Output is correct |
31 |
Correct |
4 ms |
14940 KB |
Output is correct |
32 |
Correct |
3 ms |
14940 KB |
Output is correct |
33 |
Correct |
3 ms |
14940 KB |
Output is correct |
34 |
Correct |
5 ms |
14940 KB |
Output is correct |
35 |
Correct |
58 ms |
20596 KB |
Output is correct |
36 |
Correct |
79 ms |
23632 KB |
Output is correct |
37 |
Correct |
79 ms |
23952 KB |
Output is correct |
38 |
Correct |
79 ms |
23344 KB |
Output is correct |
39 |
Correct |
5 ms |
15196 KB |
Output is correct |
40 |
Correct |
7 ms |
15708 KB |
Output is correct |
41 |
Correct |
6 ms |
15708 KB |
Output is correct |
42 |
Correct |
5 ms |
15196 KB |
Output is correct |
43 |
Correct |
6 ms |
15332 KB |
Output is correct |
44 |
Correct |
6 ms |
15196 KB |
Output is correct |
45 |
Correct |
5 ms |
15364 KB |
Output is correct |
46 |
Correct |
5 ms |
15196 KB |
Output is correct |
47 |
Correct |
7 ms |
15452 KB |
Output is correct |
48 |
Correct |
6 ms |
15452 KB |
Output is correct |
49 |
Correct |
11 ms |
16216 KB |
Output is correct |
50 |
Correct |
83 ms |
23808 KB |
Output is correct |
51 |
Correct |
8 ms |
15452 KB |
Output is correct |
52 |
Correct |
68 ms |
21844 KB |
Output is correct |
53 |
Correct |
11 ms |
15960 KB |
Output is correct |
54 |
Correct |
79 ms |
23048 KB |
Output is correct |
55 |
Correct |
13 ms |
15704 KB |
Output is correct |
56 |
Correct |
7 ms |
15708 KB |
Output is correct |
57 |
Correct |
8 ms |
15696 KB |
Output is correct |
58 |
Correct |
7 ms |
15660 KB |
Output is correct |
59 |
Correct |
7 ms |
15708 KB |
Output is correct |
60 |
Correct |
57 ms |
20680 KB |
Output is correct |
61 |
Correct |
8 ms |
15452 KB |
Output is correct |
62 |
Correct |
74 ms |
23148 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
14940 KB |
Output is correct |
2 |
Correct |
3 ms |
14992 KB |
Output is correct |
3 |
Correct |
4 ms |
14936 KB |
Output is correct |
4 |
Correct |
4 ms |
14940 KB |
Output is correct |
5 |
Correct |
4 ms |
15004 KB |
Output is correct |
6 |
Correct |
3 ms |
14940 KB |
Output is correct |
7 |
Correct |
4 ms |
15040 KB |
Output is correct |
8 |
Correct |
4 ms |
14940 KB |
Output is correct |
9 |
Correct |
4 ms |
14936 KB |
Output is correct |
10 |
Correct |
5 ms |
14940 KB |
Output is correct |
11 |
Correct |
3 ms |
14940 KB |
Output is correct |
12 |
Correct |
3 ms |
14940 KB |
Output is correct |
13 |
Correct |
3 ms |
15000 KB |
Output is correct |
14 |
Correct |
3 ms |
14940 KB |
Output is correct |
15 |
Correct |
4 ms |
15000 KB |
Output is correct |
16 |
Correct |
3 ms |
14940 KB |
Output is correct |
17 |
Correct |
3 ms |
15012 KB |
Output is correct |
18 |
Correct |
3 ms |
14940 KB |
Output is correct |
19 |
Correct |
4 ms |
14940 KB |
Output is correct |
20 |
Correct |
3 ms |
14940 KB |
Output is correct |
21 |
Correct |
4 ms |
14940 KB |
Output is correct |
22 |
Correct |
3 ms |
15016 KB |
Output is correct |
23 |
Correct |
4 ms |
14940 KB |
Output is correct |
24 |
Correct |
3 ms |
15000 KB |
Output is correct |
25 |
Correct |
4 ms |
14940 KB |
Output is correct |
26 |
Correct |
3 ms |
14940 KB |
Output is correct |
27 |
Correct |
3 ms |
14940 KB |
Output is correct |
28 |
Correct |
3 ms |
14940 KB |
Output is correct |
29 |
Correct |
3 ms |
14940 KB |
Output is correct |
30 |
Correct |
5 ms |
14940 KB |
Output is correct |
31 |
Correct |
4 ms |
14940 KB |
Output is correct |
32 |
Correct |
3 ms |
14940 KB |
Output is correct |
33 |
Correct |
3 ms |
14940 KB |
Output is correct |
34 |
Correct |
5 ms |
14940 KB |
Output is correct |
35 |
Correct |
58 ms |
20596 KB |
Output is correct |
36 |
Correct |
79 ms |
23632 KB |
Output is correct |
37 |
Correct |
79 ms |
23952 KB |
Output is correct |
38 |
Correct |
79 ms |
23344 KB |
Output is correct |
39 |
Correct |
5 ms |
15196 KB |
Output is correct |
40 |
Correct |
7 ms |
15708 KB |
Output is correct |
41 |
Correct |
6 ms |
15708 KB |
Output is correct |
42 |
Correct |
5 ms |
15196 KB |
Output is correct |
43 |
Correct |
6 ms |
15332 KB |
Output is correct |
44 |
Correct |
6 ms |
15196 KB |
Output is correct |
45 |
Correct |
5 ms |
15364 KB |
Output is correct |
46 |
Correct |
5 ms |
15196 KB |
Output is correct |
47 |
Correct |
7 ms |
15452 KB |
Output is correct |
48 |
Correct |
6 ms |
15452 KB |
Output is correct |
49 |
Correct |
11 ms |
16216 KB |
Output is correct |
50 |
Correct |
83 ms |
23808 KB |
Output is correct |
51 |
Correct |
8 ms |
15452 KB |
Output is correct |
52 |
Correct |
68 ms |
21844 KB |
Output is correct |
53 |
Correct |
11 ms |
15960 KB |
Output is correct |
54 |
Correct |
79 ms |
23048 KB |
Output is correct |
55 |
Correct |
13 ms |
15704 KB |
Output is correct |
56 |
Correct |
7 ms |
15708 KB |
Output is correct |
57 |
Correct |
8 ms |
15696 KB |
Output is correct |
58 |
Correct |
7 ms |
15660 KB |
Output is correct |
59 |
Correct |
7 ms |
15708 KB |
Output is correct |
60 |
Correct |
57 ms |
20680 KB |
Output is correct |
61 |
Correct |
8 ms |
15452 KB |
Output is correct |
62 |
Correct |
74 ms |
23148 KB |
Output is correct |
63 |
Correct |
534 ms |
68136 KB |
Output is correct |
64 |
Correct |
491 ms |
68128 KB |
Output is correct |
65 |
Correct |
516 ms |
68128 KB |
Output is correct |
66 |
Correct |
176 ms |
34132 KB |
Output is correct |
67 |
Correct |
386 ms |
61056 KB |
Output is correct |
68 |
Correct |
154 ms |
34132 KB |
Output is correct |
69 |
Correct |
349 ms |
35332 KB |
Output is correct |
70 |
Correct |
188 ms |
34216 KB |
Output is correct |
71 |
Correct |
187 ms |
34112 KB |
Output is correct |
72 |
Correct |
358 ms |
45140 KB |
Output is correct |
73 |
Correct |
371 ms |
46856 KB |
Output is correct |
74 |
Correct |
917 ms |
68588 KB |
Output is correct |
75 |
Correct |
442 ms |
42104 KB |
Output is correct |
76 |
Correct |
624 ms |
53876 KB |
Output is correct |
77 |
Correct |
660 ms |
54160 KB |
Output is correct |
78 |
Correct |
193 ms |
37796 KB |
Output is correct |
79 |
Correct |
370 ms |
42036 KB |
Output is correct |
80 |
Correct |
220 ms |
36576 KB |
Output is correct |
81 |
Correct |
291 ms |
40080 KB |
Output is correct |
82 |
Correct |
677 ms |
54792 KB |
Output is correct |
83 |
Correct |
694 ms |
54868 KB |
Output is correct |
84 |
Correct |
572 ms |
53468 KB |
Output is correct |
85 |
Correct |
494 ms |
53332 KB |
Output is correct |
86 |
Correct |
272 ms |
66896 KB |
Output is correct |
87 |
Correct |
290 ms |
69204 KB |
Output is correct |
88 |
Correct |
402 ms |
46140 KB |
Output is correct |
89 |
Correct |
608 ms |
51940 KB |
Output is correct |