#include <bits/stdc++.h>
typedef long long ll;
using namespace std;
int cmp[100001];
ll sz[100001], ans = 0;
set<int> followers[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 there's A new strong connection between A's and B's components, merge them
if (graph[B].count(A)) to_merge.push({A, B});
}
int find(int A) { return (A == cmp[A] ? A : cmp[A] = find(cmp[A])); }
void onion(int A, int B) {
if (A == B) return;
// Merge the smaller component into the larger
if (sz[A] < sz[B]) swap(A, B);
// Add new contribution
ans += sz[B] * followers[A].size() + sz[A] * followers[B].size();
// DSU stuff
cmp[B] = A;
sz[A] += sz[B];
// Merge followers of B into A
for (int i : followers[B]) {
if (followers[A].count(i)) ans -= sz[A];
else followers[A].insert(i);
}
// Erase the connections
graph[A].erase(B), rgraph[A].erase(B);
graph[B].erase(A), rgraph[B].erase(A);
// Merge the weak connections to other components
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;
followers[i].insert(i);
}
while (m--) {
int A, B;
cin >> A >> B;
B = find(B);
// If A isn't in B's component and doesn't already follow someone in B's component...
if (find(A) != B && !followers[B].count(A)) {
// We insert A as A follower of B and add sz[find(B)] to the answer
followers[B].insert(A);
ans += sz[B];
A = find(A);
// Add connections between components
insert_weak_connection(A, B);
// We may have to merge multiple components for each new event
while (to_merge.size()) {
tie(A, B) = to_merge.front();
to_merge.pop();
onion(find(A), find(B));
}
}
cout << ans << '\n';
}
return 0;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 2 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 3 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 4 |
Correct |
10 ms |
14464 KB |
Output is correct |
| 5 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 6 |
Correct |
10 ms |
14464 KB |
Output is correct |
| 7 |
Correct |
11 ms |
14444 KB |
Output is correct |
| 8 |
Correct |
11 ms |
14592 KB |
Output is correct |
| 9 |
Correct |
11 ms |
14572 KB |
Output is correct |
| 10 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 11 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 12 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 13 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 14 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 15 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 16 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 17 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 18 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 19 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 20 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 21 |
Correct |
11 ms |
14572 KB |
Output is correct |
| 22 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 23 |
Correct |
10 ms |
14464 KB |
Output is correct |
| 24 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 25 |
Correct |
11 ms |
14444 KB |
Output is correct |
| 26 |
Correct |
10 ms |
14572 KB |
Output is correct |
| 27 |
Correct |
11 ms |
14572 KB |
Output is correct |
| 28 |
Correct |
10 ms |
14592 KB |
Output is correct |
| 29 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 30 |
Correct |
12 ms |
14572 KB |
Output is correct |
| 31 |
Correct |
11 ms |
14444 KB |
Output is correct |
| 32 |
Correct |
12 ms |
14444 KB |
Output is correct |
| 33 |
Correct |
11 ms |
14444 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 2 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 3 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 4 |
Correct |
10 ms |
14464 KB |
Output is correct |
| 5 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 6 |
Correct |
10 ms |
14464 KB |
Output is correct |
| 7 |
Correct |
11 ms |
14444 KB |
Output is correct |
| 8 |
Correct |
11 ms |
14592 KB |
Output is correct |
| 9 |
Correct |
11 ms |
14572 KB |
Output is correct |
| 10 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 11 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 12 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 13 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 14 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 15 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 16 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 17 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 18 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 19 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 20 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 21 |
Correct |
11 ms |
14572 KB |
Output is correct |
| 22 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 23 |
Correct |
10 ms |
14464 KB |
Output is correct |
| 24 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 25 |
Correct |
11 ms |
14444 KB |
Output is correct |
| 26 |
Correct |
10 ms |
14572 KB |
Output is correct |
| 27 |
Correct |
11 ms |
14572 KB |
Output is correct |
| 28 |
Correct |
10 ms |
14592 KB |
Output is correct |
| 29 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 30 |
Correct |
12 ms |
14572 KB |
Output is correct |
| 31 |
Correct |
11 ms |
14444 KB |
Output is correct |
| 32 |
Correct |
12 ms |
14444 KB |
Output is correct |
| 33 |
Correct |
11 ms |
14444 KB |
Output is correct |
| 34 |
Correct |
13 ms |
14572 KB |
Output is correct |
| 35 |
Correct |
102 ms |
20332 KB |
Output is correct |
| 36 |
Correct |
139 ms |
23148 KB |
Output is correct |
| 37 |
Correct |
170 ms |
23276 KB |
Output is correct |
| 38 |
Correct |
137 ms |
22892 KB |
Output is correct |
| 39 |
Correct |
13 ms |
14828 KB |
Output is correct |
| 40 |
Correct |
14 ms |
15212 KB |
Output is correct |
| 41 |
Correct |
14 ms |
15232 KB |
Output is correct |
| 42 |
Correct |
14 ms |
14828 KB |
Output is correct |
| 43 |
Correct |
16 ms |
14828 KB |
Output is correct |
| 44 |
Correct |
14 ms |
14828 KB |
Output is correct |
| 45 |
Correct |
13 ms |
14860 KB |
Output is correct |
| 46 |
Correct |
13 ms |
14828 KB |
Output is correct |
| 47 |
Correct |
18 ms |
15084 KB |
Output is correct |
| 48 |
Correct |
15 ms |
15084 KB |
Output is correct |
| 49 |
Correct |
22 ms |
15852 KB |
Output is correct |
| 50 |
Correct |
135 ms |
23404 KB |
Output is correct |
| 51 |
Correct |
18 ms |
15212 KB |
Output is correct |
| 52 |
Correct |
114 ms |
21632 KB |
Output is correct |
| 53 |
Correct |
23 ms |
15724 KB |
Output is correct |
| 54 |
Correct |
124 ms |
22380 KB |
Output is correct |
| 55 |
Correct |
17 ms |
15400 KB |
Output is correct |
| 56 |
Correct |
16 ms |
15212 KB |
Output is correct |
| 57 |
Correct |
15 ms |
15212 KB |
Output is correct |
| 58 |
Correct |
16 ms |
15340 KB |
Output is correct |
| 59 |
Correct |
14 ms |
15212 KB |
Output is correct |
| 60 |
Correct |
98 ms |
20204 KB |
Output is correct |
| 61 |
Correct |
15 ms |
15084 KB |
Output is correct |
| 62 |
Correct |
129 ms |
22636 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 2 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 3 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 4 |
Correct |
10 ms |
14464 KB |
Output is correct |
| 5 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 6 |
Correct |
10 ms |
14464 KB |
Output is correct |
| 7 |
Correct |
11 ms |
14444 KB |
Output is correct |
| 8 |
Correct |
11 ms |
14592 KB |
Output is correct |
| 9 |
Correct |
11 ms |
14572 KB |
Output is correct |
| 10 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 11 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 12 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 13 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 14 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 15 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 16 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 17 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 18 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 19 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 20 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 21 |
Correct |
11 ms |
14572 KB |
Output is correct |
| 22 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 23 |
Correct |
10 ms |
14464 KB |
Output is correct |
| 24 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 25 |
Correct |
11 ms |
14444 KB |
Output is correct |
| 26 |
Correct |
10 ms |
14572 KB |
Output is correct |
| 27 |
Correct |
11 ms |
14572 KB |
Output is correct |
| 28 |
Correct |
10 ms |
14592 KB |
Output is correct |
| 29 |
Correct |
10 ms |
14444 KB |
Output is correct |
| 30 |
Correct |
12 ms |
14572 KB |
Output is correct |
| 31 |
Correct |
11 ms |
14444 KB |
Output is correct |
| 32 |
Correct |
12 ms |
14444 KB |
Output is correct |
| 33 |
Correct |
11 ms |
14444 KB |
Output is correct |
| 34 |
Correct |
13 ms |
14572 KB |
Output is correct |
| 35 |
Correct |
102 ms |
20332 KB |
Output is correct |
| 36 |
Correct |
139 ms |
23148 KB |
Output is correct |
| 37 |
Correct |
170 ms |
23276 KB |
Output is correct |
| 38 |
Correct |
137 ms |
22892 KB |
Output is correct |
| 39 |
Correct |
13 ms |
14828 KB |
Output is correct |
| 40 |
Correct |
14 ms |
15212 KB |
Output is correct |
| 41 |
Correct |
14 ms |
15232 KB |
Output is correct |
| 42 |
Correct |
14 ms |
14828 KB |
Output is correct |
| 43 |
Correct |
16 ms |
14828 KB |
Output is correct |
| 44 |
Correct |
14 ms |
14828 KB |
Output is correct |
| 45 |
Correct |
13 ms |
14860 KB |
Output is correct |
| 46 |
Correct |
13 ms |
14828 KB |
Output is correct |
| 47 |
Correct |
18 ms |
15084 KB |
Output is correct |
| 48 |
Correct |
15 ms |
15084 KB |
Output is correct |
| 49 |
Correct |
22 ms |
15852 KB |
Output is correct |
| 50 |
Correct |
135 ms |
23404 KB |
Output is correct |
| 51 |
Correct |
18 ms |
15212 KB |
Output is correct |
| 52 |
Correct |
114 ms |
21632 KB |
Output is correct |
| 53 |
Correct |
23 ms |
15724 KB |
Output is correct |
| 54 |
Correct |
124 ms |
22380 KB |
Output is correct |
| 55 |
Correct |
17 ms |
15400 KB |
Output is correct |
| 56 |
Correct |
16 ms |
15212 KB |
Output is correct |
| 57 |
Correct |
15 ms |
15212 KB |
Output is correct |
| 58 |
Correct |
16 ms |
15340 KB |
Output is correct |
| 59 |
Correct |
14 ms |
15212 KB |
Output is correct |
| 60 |
Correct |
98 ms |
20204 KB |
Output is correct |
| 61 |
Correct |
15 ms |
15084 KB |
Output is correct |
| 62 |
Correct |
129 ms |
22636 KB |
Output is correct |
| 63 |
Correct |
658 ms |
68208 KB |
Output is correct |
| 64 |
Correct |
677 ms |
68204 KB |
Output is correct |
| 65 |
Correct |
656 ms |
68240 KB |
Output is correct |
| 66 |
Correct |
307 ms |
34156 KB |
Output is correct |
| 67 |
Correct |
610 ms |
61932 KB |
Output is correct |
| 68 |
Correct |
292 ms |
34212 KB |
Output is correct |
| 69 |
Correct |
572 ms |
35308 KB |
Output is correct |
| 70 |
Correct |
350 ms |
34156 KB |
Output is correct |
| 71 |
Correct |
337 ms |
34156 KB |
Output is correct |
| 72 |
Correct |
635 ms |
46700 KB |
Output is correct |
| 73 |
Correct |
643 ms |
48236 KB |
Output is correct |
| 74 |
Correct |
1342 ms |
71200 KB |
Output is correct |
| 75 |
Correct |
843 ms |
41964 KB |
Output is correct |
| 76 |
Correct |
1042 ms |
55672 KB |
Output is correct |
| 77 |
Correct |
1004 ms |
55660 KB |
Output is correct |
| 78 |
Correct |
376 ms |
37740 KB |
Output is correct |
| 79 |
Correct |
574 ms |
42220 KB |
Output is correct |
| 80 |
Correct |
291 ms |
36588 KB |
Output is correct |
| 81 |
Correct |
468 ms |
40300 KB |
Output is correct |
| 82 |
Correct |
1091 ms |
54764 KB |
Output is correct |
| 83 |
Correct |
1080 ms |
54636 KB |
Output is correct |
| 84 |
Correct |
843 ms |
53484 KB |
Output is correct |
| 85 |
Correct |
826 ms |
53484 KB |
Output is correct |
| 86 |
Correct |
437 ms |
66924 KB |
Output is correct |
| 87 |
Correct |
472 ms |
69228 KB |
Output is correct |
| 88 |
Correct |
655 ms |
47596 KB |
Output is correct |
| 89 |
Correct |
985 ms |
53720 KB |
Output is correct |
