/**
* author: NimaAryan
* created: 2024-08-15 13:30:23
**/
#include <bits/stdc++.h>
using namespace std;
#ifdef LOCAL
#include "algo/debug.h"
#endif
using i64 = long long;
i64 ans = 0;
vector<set<int>> S;
vector<set<int>> T;
vector<set<int>> G;
vector<int> par;
queue<pair<int, int>> to_merge;
int find(int x) {
return par[x] == -1 ? x : par[x] = find(par[x]);
}
inline int size(int A) {
return S[A].size() + T[A].size() + G[A].size();
}
void unite(int A, int B) {
A = find(A), B = find(B);
if (A == B) {
return;
}
if (size(A) < size(B)) {
swap(A, B);
}
ans -= 1LL * S[A].size() * (S[A].size() - 1);
ans -= 1LL * S[A].size() * T[A].size();
ans -= 1LL * S[B].size() * (S[B].size() - 1);
ans -= 1LL * S[B].size() * T[B].size();
G[A].erase(B);
for (int X : G[B]) {
if (X == A) {
continue;
}
if (G[X].count(A)) {
to_merge.emplace(A, X);
}
G[A].insert(X);
}
for (int x : T[B]) {
int X = find(x);
if (X == A) {
continue;
}
T[A].insert(x);
if (G[A].count(X)) {
to_merge.emplace(A, X);
}
G[X].erase(B);
G[X].insert(A);
}
for (int b : S[B]) {
T[A].erase(b);
S[A].insert(b);
}
par[B] = A;
ans += 1LL * S[A].size() * (S[A].size() - 1);
ans += 1LL * S[A].size() * T[A].size();
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n, m;
cin >> n >> m;
S.resize(n);
for (int x = 0; x < n; ++x) {
S[x] = {x};
}
T.resize(n);
G.resize(n);
par.assign(n, -1);
while (m--) {
int a, b;
cin >> a >> b;
--a, --b;
int A = find(a), B = find(b);
if (A != B) {
if (G[B].count(A)) {
unite(A, B);
} else if (!T[B].count(a)) {
ans += S[B].size();
T[B].insert(a);
G[A].insert(B);
}
while (!to_merge.empty()) {
auto [X, Y] = to_merge.front();
to_merge.pop();
unite(X, Y);
}
}
cout << ans << "\n";
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
376 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
376 KB |
Output is correct |
34 |
Correct |
2 ms |
344 KB |
Output is correct |
35 |
Correct |
46 ms |
3664 KB |
Output is correct |
36 |
Correct |
56 ms |
5648 KB |
Output is correct |
37 |
Correct |
57 ms |
5456 KB |
Output is correct |
38 |
Correct |
54 ms |
5280 KB |
Output is correct |
39 |
Correct |
2 ms |
860 KB |
Output is correct |
40 |
Correct |
3 ms |
1372 KB |
Output is correct |
41 |
Correct |
3 ms |
1372 KB |
Output is correct |
42 |
Correct |
3 ms |
860 KB |
Output is correct |
43 |
Correct |
2 ms |
860 KB |
Output is correct |
44 |
Correct |
2 ms |
860 KB |
Output is correct |
45 |
Correct |
2 ms |
860 KB |
Output is correct |
46 |
Correct |
1 ms |
860 KB |
Output is correct |
47 |
Correct |
3 ms |
1116 KB |
Output is correct |
48 |
Correct |
3 ms |
1116 KB |
Output is correct |
49 |
Correct |
6 ms |
1592 KB |
Output is correct |
50 |
Correct |
59 ms |
5712 KB |
Output is correct |
51 |
Correct |
4 ms |
1116 KB |
Output is correct |
52 |
Correct |
50 ms |
4412 KB |
Output is correct |
53 |
Correct |
5 ms |
1372 KB |
Output is correct |
54 |
Correct |
52 ms |
4964 KB |
Output is correct |
55 |
Correct |
3 ms |
1128 KB |
Output is correct |
56 |
Correct |
3 ms |
1116 KB |
Output is correct |
57 |
Correct |
3 ms |
1116 KB |
Output is correct |
58 |
Correct |
3 ms |
1116 KB |
Output is correct |
59 |
Correct |
2 ms |
1372 KB |
Output is correct |
60 |
Correct |
44 ms |
3800 KB |
Output is correct |
61 |
Correct |
3 ms |
1112 KB |
Output is correct |
62 |
Correct |
54 ms |
5324 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
376 KB |
Output is correct |
34 |
Correct |
2 ms |
344 KB |
Output is correct |
35 |
Correct |
46 ms |
3664 KB |
Output is correct |
36 |
Correct |
56 ms |
5648 KB |
Output is correct |
37 |
Correct |
57 ms |
5456 KB |
Output is correct |
38 |
Correct |
54 ms |
5280 KB |
Output is correct |
39 |
Correct |
2 ms |
860 KB |
Output is correct |
40 |
Correct |
3 ms |
1372 KB |
Output is correct |
41 |
Correct |
3 ms |
1372 KB |
Output is correct |
42 |
Correct |
3 ms |
860 KB |
Output is correct |
43 |
Correct |
2 ms |
860 KB |
Output is correct |
44 |
Correct |
2 ms |
860 KB |
Output is correct |
45 |
Correct |
2 ms |
860 KB |
Output is correct |
46 |
Correct |
1 ms |
860 KB |
Output is correct |
47 |
Correct |
3 ms |
1116 KB |
Output is correct |
48 |
Correct |
3 ms |
1116 KB |
Output is correct |
49 |
Correct |
6 ms |
1592 KB |
Output is correct |
50 |
Correct |
59 ms |
5712 KB |
Output is correct |
51 |
Correct |
4 ms |
1116 KB |
Output is correct |
52 |
Correct |
50 ms |
4412 KB |
Output is correct |
53 |
Correct |
5 ms |
1372 KB |
Output is correct |
54 |
Correct |
52 ms |
4964 KB |
Output is correct |
55 |
Correct |
3 ms |
1128 KB |
Output is correct |
56 |
Correct |
3 ms |
1116 KB |
Output is correct |
57 |
Correct |
3 ms |
1116 KB |
Output is correct |
58 |
Correct |
3 ms |
1116 KB |
Output is correct |
59 |
Correct |
2 ms |
1372 KB |
Output is correct |
60 |
Correct |
44 ms |
3800 KB |
Output is correct |
61 |
Correct |
3 ms |
1112 KB |
Output is correct |
62 |
Correct |
54 ms |
5324 KB |
Output is correct |
63 |
Correct |
192 ms |
49588 KB |
Output is correct |
64 |
Correct |
195 ms |
49704 KB |
Output is correct |
65 |
Correct |
186 ms |
49748 KB |
Output is correct |
66 |
Correct |
92 ms |
30988 KB |
Output is correct |
67 |
Correct |
179 ms |
56660 KB |
Output is correct |
68 |
Correct |
94 ms |
31060 KB |
Output is correct |
69 |
Correct |
201 ms |
30888 KB |
Output is correct |
70 |
Correct |
93 ms |
31060 KB |
Output is correct |
71 |
Correct |
97 ms |
31056 KB |
Output is correct |
72 |
Correct |
177 ms |
40532 KB |
Output is correct |
73 |
Correct |
173 ms |
42324 KB |
Output is correct |
74 |
Correct |
347 ms |
55860 KB |
Output is correct |
75 |
Correct |
264 ms |
35900 KB |
Output is correct |
76 |
Correct |
278 ms |
45136 KB |
Output is correct |
77 |
Correct |
285 ms |
45140 KB |
Output is correct |
78 |
Correct |
102 ms |
32856 KB |
Output is correct |
79 |
Correct |
196 ms |
36944 KB |
Output is correct |
80 |
Correct |
107 ms |
32852 KB |
Output is correct |
81 |
Correct |
179 ms |
35408 KB |
Output is correct |
82 |
Correct |
299 ms |
44680 KB |
Output is correct |
83 |
Correct |
281 ms |
44724 KB |
Output is correct |
84 |
Correct |
268 ms |
44240 KB |
Output is correct |
85 |
Correct |
249 ms |
44264 KB |
Output is correct |
86 |
Correct |
163 ms |
63828 KB |
Output is correct |
87 |
Correct |
193 ms |
64848 KB |
Output is correct |
88 |
Correct |
176 ms |
41580 KB |
Output is correct |
89 |
Correct |
288 ms |
44116 KB |
Output is correct |