#include<bits/stdc++.h>
using namespace std;
#define f first
#define s second
using ll = long long;
const int mxN = 100000;
int par[mxN + 5];
ll sz[mxN + 5];
ll result = 0;
set<int> ccs[mxN + 5], ou[mxN + 5], in[mxN + 5];
queue< pair<int, int> > to_merge;
void weak_connection(int x, int y) {
ou[x].insert(y); in[y].insert(x);
if (ou[y].count(x)) to_merge.emplace(x, y);
}
int tot_sz(int x) {
return ccs[x].size() + in[x].size() + ou[x].size();
}
int find(int x) {
return (x == par[x] ? x: par[x] = find(par[x]));
}
void unite_set(int x, int y) {
if (x == y) return ;
if (tot_sz(x) < tot_sz(y)) swap(x, y);
result += sz[y] * ccs[x].size() + sz[x] * ccs[y].size();
par[y] = x; sz[x] += sz[y];
for (int u: ccs[y]) {
if (ccs[x].count(u)) result -= sz[x];
else ccs[x].emplace(u);
}
ou[x].erase(y); in[x].erase(y);
ou[y].erase(x); in[y].erase(x);
for (int u: ou[y]) {
in[u].erase(y);
weak_connection(x, u);
}
for (int u: in[y]) {
ou[u].erase(y);
weak_connection(u, x);
}
}
int main() {
cin.tie(0)->sync_with_stdio(0);
int n, m; cin >> n >> m;
for (int i = 1; i <= n; i++) {
par[i] = i;
sz[i] = 1;
ccs[i].insert(i);
}
int x, y;
while (m--) {
cin >> x >> y;
y = find(y);
if (find(x) != y && !ccs[y].count(x)) {
ccs[y].emplace(x);
result += sz[y];
x = find(x);
weak_connection(x, y);
while (!to_merge.empty()) {
tie(x, y) = to_merge.front();
to_merge.pop();
unite_set(find(x), find(y));
}
}
cout << result << "\n";
}
return 0;
}
/*
4 6
1 2
2 3
3 2
1 3
3 4
4 3
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
14412 KB |
Output is correct |
2 |
Correct |
10 ms |
14412 KB |
Output is correct |
3 |
Correct |
8 ms |
14408 KB |
Output is correct |
4 |
Correct |
8 ms |
14376 KB |
Output is correct |
5 |
Correct |
10 ms |
14412 KB |
Output is correct |
6 |
Correct |
8 ms |
14336 KB |
Output is correct |
7 |
Correct |
9 ms |
14428 KB |
Output is correct |
8 |
Correct |
9 ms |
14412 KB |
Output is correct |
9 |
Correct |
9 ms |
14412 KB |
Output is correct |
10 |
Correct |
8 ms |
14408 KB |
Output is correct |
11 |
Correct |
8 ms |
14412 KB |
Output is correct |
12 |
Correct |
8 ms |
14412 KB |
Output is correct |
13 |
Correct |
8 ms |
14336 KB |
Output is correct |
14 |
Correct |
8 ms |
14412 KB |
Output is correct |
15 |
Correct |
9 ms |
14360 KB |
Output is correct |
16 |
Correct |
9 ms |
14408 KB |
Output is correct |
17 |
Correct |
9 ms |
14412 KB |
Output is correct |
18 |
Correct |
8 ms |
14416 KB |
Output is correct |
19 |
Correct |
8 ms |
14336 KB |
Output is correct |
20 |
Correct |
9 ms |
14412 KB |
Output is correct |
21 |
Correct |
9 ms |
14424 KB |
Output is correct |
22 |
Correct |
8 ms |
14408 KB |
Output is correct |
23 |
Correct |
8 ms |
14416 KB |
Output is correct |
24 |
Correct |
10 ms |
14412 KB |
Output is correct |
25 |
Correct |
11 ms |
14412 KB |
Output is correct |
26 |
Correct |
9 ms |
14408 KB |
Output is correct |
27 |
Correct |
9 ms |
14436 KB |
Output is correct |
28 |
Correct |
8 ms |
14412 KB |
Output is correct |
29 |
Correct |
8 ms |
14368 KB |
Output is correct |
30 |
Correct |
8 ms |
14344 KB |
Output is correct |
31 |
Correct |
9 ms |
14412 KB |
Output is correct |
32 |
Correct |
8 ms |
14332 KB |
Output is correct |
33 |
Correct |
9 ms |
14412 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
14412 KB |
Output is correct |
2 |
Correct |
10 ms |
14412 KB |
Output is correct |
3 |
Correct |
8 ms |
14408 KB |
Output is correct |
4 |
Correct |
8 ms |
14376 KB |
Output is correct |
5 |
Correct |
10 ms |
14412 KB |
Output is correct |
6 |
Correct |
8 ms |
14336 KB |
Output is correct |
7 |
Correct |
9 ms |
14428 KB |
Output is correct |
8 |
Correct |
9 ms |
14412 KB |
Output is correct |
9 |
Correct |
9 ms |
14412 KB |
Output is correct |
10 |
Correct |
8 ms |
14408 KB |
Output is correct |
11 |
Correct |
8 ms |
14412 KB |
Output is correct |
12 |
Correct |
8 ms |
14412 KB |
Output is correct |
13 |
Correct |
8 ms |
14336 KB |
Output is correct |
14 |
Correct |
8 ms |
14412 KB |
Output is correct |
15 |
Correct |
9 ms |
14360 KB |
Output is correct |
16 |
Correct |
9 ms |
14408 KB |
Output is correct |
17 |
Correct |
9 ms |
14412 KB |
Output is correct |
18 |
Correct |
8 ms |
14416 KB |
Output is correct |
19 |
Correct |
8 ms |
14336 KB |
Output is correct |
20 |
Correct |
9 ms |
14412 KB |
Output is correct |
21 |
Correct |
9 ms |
14424 KB |
Output is correct |
22 |
Correct |
8 ms |
14408 KB |
Output is correct |
23 |
Correct |
8 ms |
14416 KB |
Output is correct |
24 |
Correct |
10 ms |
14412 KB |
Output is correct |
25 |
Correct |
11 ms |
14412 KB |
Output is correct |
26 |
Correct |
9 ms |
14408 KB |
Output is correct |
27 |
Correct |
9 ms |
14436 KB |
Output is correct |
28 |
Correct |
8 ms |
14412 KB |
Output is correct |
29 |
Correct |
8 ms |
14368 KB |
Output is correct |
30 |
Correct |
8 ms |
14344 KB |
Output is correct |
31 |
Correct |
9 ms |
14412 KB |
Output is correct |
32 |
Correct |
8 ms |
14332 KB |
Output is correct |
33 |
Correct |
9 ms |
14412 KB |
Output is correct |
34 |
Correct |
11 ms |
14532 KB |
Output is correct |
35 |
Correct |
119 ms |
20164 KB |
Output is correct |
36 |
Correct |
131 ms |
22992 KB |
Output is correct |
37 |
Correct |
129 ms |
23292 KB |
Output is correct |
38 |
Correct |
126 ms |
22700 KB |
Output is correct |
39 |
Correct |
14 ms |
14688 KB |
Output is correct |
40 |
Correct |
13 ms |
15056 KB |
Output is correct |
41 |
Correct |
13 ms |
15052 KB |
Output is correct |
42 |
Correct |
11 ms |
14680 KB |
Output is correct |
43 |
Correct |
12 ms |
14804 KB |
Output is correct |
44 |
Correct |
12 ms |
14796 KB |
Output is correct |
45 |
Correct |
11 ms |
14680 KB |
Output is correct |
46 |
Correct |
11 ms |
14796 KB |
Output is correct |
47 |
Correct |
13 ms |
14904 KB |
Output is correct |
48 |
Correct |
13 ms |
14936 KB |
Output is correct |
49 |
Correct |
20 ms |
15692 KB |
Output is correct |
50 |
Correct |
130 ms |
23248 KB |
Output is correct |
51 |
Correct |
16 ms |
15060 KB |
Output is correct |
52 |
Correct |
116 ms |
21412 KB |
Output is correct |
53 |
Correct |
23 ms |
15600 KB |
Output is correct |
54 |
Correct |
122 ms |
22292 KB |
Output is correct |
55 |
Correct |
15 ms |
15188 KB |
Output is correct |
56 |
Correct |
15 ms |
15208 KB |
Output is correct |
57 |
Correct |
14 ms |
15064 KB |
Output is correct |
58 |
Correct |
14 ms |
15060 KB |
Output is correct |
59 |
Correct |
13 ms |
15180 KB |
Output is correct |
60 |
Correct |
103 ms |
20196 KB |
Output is correct |
61 |
Correct |
14 ms |
14924 KB |
Output is correct |
62 |
Correct |
129 ms |
22584 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
8 ms |
14412 KB |
Output is correct |
2 |
Correct |
10 ms |
14412 KB |
Output is correct |
3 |
Correct |
8 ms |
14408 KB |
Output is correct |
4 |
Correct |
8 ms |
14376 KB |
Output is correct |
5 |
Correct |
10 ms |
14412 KB |
Output is correct |
6 |
Correct |
8 ms |
14336 KB |
Output is correct |
7 |
Correct |
9 ms |
14428 KB |
Output is correct |
8 |
Correct |
9 ms |
14412 KB |
Output is correct |
9 |
Correct |
9 ms |
14412 KB |
Output is correct |
10 |
Correct |
8 ms |
14408 KB |
Output is correct |
11 |
Correct |
8 ms |
14412 KB |
Output is correct |
12 |
Correct |
8 ms |
14412 KB |
Output is correct |
13 |
Correct |
8 ms |
14336 KB |
Output is correct |
14 |
Correct |
8 ms |
14412 KB |
Output is correct |
15 |
Correct |
9 ms |
14360 KB |
Output is correct |
16 |
Correct |
9 ms |
14408 KB |
Output is correct |
17 |
Correct |
9 ms |
14412 KB |
Output is correct |
18 |
Correct |
8 ms |
14416 KB |
Output is correct |
19 |
Correct |
8 ms |
14336 KB |
Output is correct |
20 |
Correct |
9 ms |
14412 KB |
Output is correct |
21 |
Correct |
9 ms |
14424 KB |
Output is correct |
22 |
Correct |
8 ms |
14408 KB |
Output is correct |
23 |
Correct |
8 ms |
14416 KB |
Output is correct |
24 |
Correct |
10 ms |
14412 KB |
Output is correct |
25 |
Correct |
11 ms |
14412 KB |
Output is correct |
26 |
Correct |
9 ms |
14408 KB |
Output is correct |
27 |
Correct |
9 ms |
14436 KB |
Output is correct |
28 |
Correct |
8 ms |
14412 KB |
Output is correct |
29 |
Correct |
8 ms |
14368 KB |
Output is correct |
30 |
Correct |
8 ms |
14344 KB |
Output is correct |
31 |
Correct |
9 ms |
14412 KB |
Output is correct |
32 |
Correct |
8 ms |
14332 KB |
Output is correct |
33 |
Correct |
9 ms |
14412 KB |
Output is correct |
34 |
Correct |
11 ms |
14532 KB |
Output is correct |
35 |
Correct |
119 ms |
20164 KB |
Output is correct |
36 |
Correct |
131 ms |
22992 KB |
Output is correct |
37 |
Correct |
129 ms |
23292 KB |
Output is correct |
38 |
Correct |
126 ms |
22700 KB |
Output is correct |
39 |
Correct |
14 ms |
14688 KB |
Output is correct |
40 |
Correct |
13 ms |
15056 KB |
Output is correct |
41 |
Correct |
13 ms |
15052 KB |
Output is correct |
42 |
Correct |
11 ms |
14680 KB |
Output is correct |
43 |
Correct |
12 ms |
14804 KB |
Output is correct |
44 |
Correct |
12 ms |
14796 KB |
Output is correct |
45 |
Correct |
11 ms |
14680 KB |
Output is correct |
46 |
Correct |
11 ms |
14796 KB |
Output is correct |
47 |
Correct |
13 ms |
14904 KB |
Output is correct |
48 |
Correct |
13 ms |
14936 KB |
Output is correct |
49 |
Correct |
20 ms |
15692 KB |
Output is correct |
50 |
Correct |
130 ms |
23248 KB |
Output is correct |
51 |
Correct |
16 ms |
15060 KB |
Output is correct |
52 |
Correct |
116 ms |
21412 KB |
Output is correct |
53 |
Correct |
23 ms |
15600 KB |
Output is correct |
54 |
Correct |
122 ms |
22292 KB |
Output is correct |
55 |
Correct |
15 ms |
15188 KB |
Output is correct |
56 |
Correct |
15 ms |
15208 KB |
Output is correct |
57 |
Correct |
14 ms |
15064 KB |
Output is correct |
58 |
Correct |
14 ms |
15060 KB |
Output is correct |
59 |
Correct |
13 ms |
15180 KB |
Output is correct |
60 |
Correct |
103 ms |
20196 KB |
Output is correct |
61 |
Correct |
14 ms |
14924 KB |
Output is correct |
62 |
Correct |
129 ms |
22584 KB |
Output is correct |
63 |
Correct |
648 ms |
68036 KB |
Output is correct |
64 |
Correct |
624 ms |
67928 KB |
Output is correct |
65 |
Correct |
620 ms |
68120 KB |
Output is correct |
66 |
Correct |
294 ms |
34008 KB |
Output is correct |
67 |
Correct |
532 ms |
61092 KB |
Output is correct |
68 |
Correct |
289 ms |
33992 KB |
Output is correct |
69 |
Correct |
505 ms |
35104 KB |
Output is correct |
70 |
Correct |
327 ms |
34080 KB |
Output is correct |
71 |
Correct |
297 ms |
34084 KB |
Output is correct |
72 |
Correct |
584 ms |
45124 KB |
Output is correct |
73 |
Correct |
570 ms |
46692 KB |
Output is correct |
74 |
Correct |
1232 ms |
68576 KB |
Output is correct |
75 |
Correct |
822 ms |
41844 KB |
Output is correct |
76 |
Correct |
998 ms |
53884 KB |
Output is correct |
77 |
Correct |
1000 ms |
54144 KB |
Output is correct |
78 |
Correct |
316 ms |
37720 KB |
Output is correct |
79 |
Correct |
541 ms |
42136 KB |
Output is correct |
80 |
Correct |
275 ms |
36612 KB |
Output is correct |
81 |
Correct |
496 ms |
40164 KB |
Output is correct |
82 |
Correct |
1032 ms |
54628 KB |
Output is correct |
83 |
Correct |
1050 ms |
54584 KB |
Output is correct |
84 |
Correct |
791 ms |
53344 KB |
Output is correct |
85 |
Correct |
786 ms |
53320 KB |
Output is correct |
86 |
Correct |
429 ms |
66768 KB |
Output is correct |
87 |
Correct |
466 ms |
69000 KB |
Output is correct |
88 |
Correct |
598 ms |
45988 KB |
Output is correct |
89 |
Correct |
940 ms |
51880 KB |
Output is correct |