#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
#define fi first
#define se second
#define mp make_pair
#define fastIO ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
const int N = (int)2e5 + 10;
vector<int> nds[N];
set<int> out[N];
set<int> in[N];
set<int> so[N];
set<int> si[N];
int par[N];
int sz[N];
ll res = 0;
int fin(int x){
if(par[x]==x)
return x;
return par[x]=fin(par[x]);
}
ll f(int x){
return x * 1ll * (x - 1);
}
void join(int a, int b){
a = fin(a);
b = fin(b);
if(a == b)
return;
if(sz[a] > sz[b]) swap(a, b);
res -= f(sz[a]);
res -= f(sz[b]);
res -= in[b].size() * 1ll * sz[b];
res -= in[a].size() * 1ll * sz[a];
for(auto v : nds[a]){
nds[b].push_back(v);
auto it = out[v].lower_bound(b);
if(it != out[v].end() && (*it) == b){
in[b].erase(v);
out[v].erase(it);
}
}
nds[a].clear();
for(auto y : in[a]){
if(fin(y) == b){
out[y].erase(a);
}
else{
out[y].erase(a);
out[y].insert(b);
in[b].insert(y);
}
}
in[a].clear();
vector<pii> nxi;
for(auto v : so[a]){
if(v == b){
si[v].erase(a);
continue;
}
else{
si[v].erase(a);
si[v].insert(b);
so[b].insert(v);
if(so[b].count(v) && so[v].count(b)){
nxi.push_back(mp(v, b));
}
}
}
so[a].clear();
for(auto v : si[a]){
if(v == b){
so[v].erase(a);
continue;
}
else{
so[v].erase(a);
so[v].insert(b);
si[b].insert(v);
if(so[b].count(v) && so[v].count(b)){
nxi.push_back(mp(v, b));
}
}
}
si[a].clear();
par[a] = b;
sz[b] += sz[a];
res += in[b].size() * 1ll * sz[b];
res += f(sz[b]);
for(auto qq : nxi)
join(qq.fi, qq.se);
}
void add_edge(int u, int v){
int uf = fin(u);
int vf = fin(v);
if(uf == vf) return;
so[uf].insert(vf);
si[vf].insert(uf);
if(out[u].count(vf)){
return;
}
res += sz[vf];
out[u].insert(vf);
in[vf].insert(u);
if(so[uf].count(vf) && so[vf].count(uf)){
join(uf, vf);
}
}
int main(){
fastIO;
int n, m;
cin >> n >> m;
for(int i = 1; i <= n ; i ++ ){
nds[i].push_back(i);
par[i]=i;
sz[i]=1;
}
int u, v;
for(int i = 0; i < m ; i ++ ){
cin >> u >> v;
add_edge(u, v);
cout << res << "\n";
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
25 ms |
42576 KB |
Output is correct |
2 |
Correct |
25 ms |
42624 KB |
Output is correct |
3 |
Correct |
24 ms |
42624 KB |
Output is correct |
4 |
Correct |
25 ms |
42624 KB |
Output is correct |
5 |
Correct |
25 ms |
42624 KB |
Output is correct |
6 |
Correct |
26 ms |
42624 KB |
Output is correct |
7 |
Correct |
31 ms |
42624 KB |
Output is correct |
8 |
Correct |
26 ms |
42752 KB |
Output is correct |
9 |
Correct |
39 ms |
42744 KB |
Output is correct |
10 |
Correct |
25 ms |
42624 KB |
Output is correct |
11 |
Correct |
33 ms |
42616 KB |
Output is correct |
12 |
Correct |
25 ms |
42624 KB |
Output is correct |
13 |
Correct |
67 ms |
42616 KB |
Output is correct |
14 |
Correct |
30 ms |
42624 KB |
Output is correct |
15 |
Correct |
32 ms |
42624 KB |
Output is correct |
16 |
Correct |
25 ms |
42624 KB |
Output is correct |
17 |
Correct |
26 ms |
42624 KB |
Output is correct |
18 |
Correct |
30 ms |
42616 KB |
Output is correct |
19 |
Correct |
31 ms |
42624 KB |
Output is correct |
20 |
Correct |
27 ms |
42624 KB |
Output is correct |
21 |
Correct |
26 ms |
42752 KB |
Output is correct |
22 |
Correct |
29 ms |
42624 KB |
Output is correct |
23 |
Correct |
25 ms |
42624 KB |
Output is correct |
24 |
Correct |
27 ms |
42616 KB |
Output is correct |
25 |
Correct |
27 ms |
42624 KB |
Output is correct |
26 |
Correct |
31 ms |
42624 KB |
Output is correct |
27 |
Correct |
25 ms |
42624 KB |
Output is correct |
28 |
Correct |
25 ms |
42616 KB |
Output is correct |
29 |
Correct |
32 ms |
42616 KB |
Output is correct |
30 |
Correct |
25 ms |
42624 KB |
Output is correct |
31 |
Correct |
39 ms |
42616 KB |
Output is correct |
32 |
Correct |
28 ms |
42624 KB |
Output is correct |
33 |
Correct |
26 ms |
42624 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
25 ms |
42576 KB |
Output is correct |
2 |
Correct |
25 ms |
42624 KB |
Output is correct |
3 |
Correct |
24 ms |
42624 KB |
Output is correct |
4 |
Correct |
25 ms |
42624 KB |
Output is correct |
5 |
Correct |
25 ms |
42624 KB |
Output is correct |
6 |
Correct |
26 ms |
42624 KB |
Output is correct |
7 |
Correct |
31 ms |
42624 KB |
Output is correct |
8 |
Correct |
26 ms |
42752 KB |
Output is correct |
9 |
Correct |
39 ms |
42744 KB |
Output is correct |
10 |
Correct |
25 ms |
42624 KB |
Output is correct |
11 |
Correct |
33 ms |
42616 KB |
Output is correct |
12 |
Correct |
25 ms |
42624 KB |
Output is correct |
13 |
Correct |
67 ms |
42616 KB |
Output is correct |
14 |
Correct |
30 ms |
42624 KB |
Output is correct |
15 |
Correct |
32 ms |
42624 KB |
Output is correct |
16 |
Correct |
25 ms |
42624 KB |
Output is correct |
17 |
Correct |
26 ms |
42624 KB |
Output is correct |
18 |
Correct |
30 ms |
42616 KB |
Output is correct |
19 |
Correct |
31 ms |
42624 KB |
Output is correct |
20 |
Correct |
27 ms |
42624 KB |
Output is correct |
21 |
Correct |
26 ms |
42752 KB |
Output is correct |
22 |
Correct |
29 ms |
42624 KB |
Output is correct |
23 |
Correct |
25 ms |
42624 KB |
Output is correct |
24 |
Correct |
27 ms |
42616 KB |
Output is correct |
25 |
Correct |
27 ms |
42624 KB |
Output is correct |
26 |
Correct |
31 ms |
42624 KB |
Output is correct |
27 |
Correct |
25 ms |
42624 KB |
Output is correct |
28 |
Correct |
25 ms |
42616 KB |
Output is correct |
29 |
Correct |
32 ms |
42616 KB |
Output is correct |
30 |
Correct |
25 ms |
42624 KB |
Output is correct |
31 |
Correct |
39 ms |
42616 KB |
Output is correct |
32 |
Correct |
28 ms |
42624 KB |
Output is correct |
33 |
Correct |
26 ms |
42624 KB |
Output is correct |
34 |
Correct |
29 ms |
42872 KB |
Output is correct |
35 |
Correct |
130 ms |
48912 KB |
Output is correct |
36 |
Correct |
179 ms |
52320 KB |
Output is correct |
37 |
Correct |
183 ms |
52420 KB |
Output is correct |
38 |
Correct |
159 ms |
51960 KB |
Output is correct |
39 |
Correct |
35 ms |
42752 KB |
Output is correct |
40 |
Correct |
35 ms |
43008 KB |
Output is correct |
41 |
Correct |
32 ms |
43008 KB |
Output is correct |
42 |
Correct |
28 ms |
42752 KB |
Output is correct |
43 |
Correct |
31 ms |
43008 KB |
Output is correct |
44 |
Correct |
30 ms |
43008 KB |
Output is correct |
45 |
Correct |
28 ms |
42752 KB |
Output is correct |
46 |
Correct |
32 ms |
42752 KB |
Output is correct |
47 |
Correct |
30 ms |
43008 KB |
Output is correct |
48 |
Correct |
30 ms |
43008 KB |
Output is correct |
49 |
Correct |
39 ms |
43904 KB |
Output is correct |
50 |
Correct |
171 ms |
52472 KB |
Output is correct |
51 |
Correct |
35 ms |
43264 KB |
Output is correct |
52 |
Correct |
147 ms |
50424 KB |
Output is correct |
53 |
Correct |
38 ms |
43776 KB |
Output is correct |
54 |
Correct |
164 ms |
51440 KB |
Output is correct |
55 |
Correct |
43 ms |
43516 KB |
Output is correct |
56 |
Correct |
39 ms |
43512 KB |
Output is correct |
57 |
Correct |
32 ms |
43776 KB |
Output is correct |
58 |
Correct |
45 ms |
43768 KB |
Output is correct |
59 |
Correct |
34 ms |
42880 KB |
Output is correct |
60 |
Correct |
131 ms |
47916 KB |
Output is correct |
61 |
Correct |
36 ms |
43000 KB |
Output is correct |
62 |
Correct |
174 ms |
51704 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
25 ms |
42576 KB |
Output is correct |
2 |
Correct |
25 ms |
42624 KB |
Output is correct |
3 |
Correct |
24 ms |
42624 KB |
Output is correct |
4 |
Correct |
25 ms |
42624 KB |
Output is correct |
5 |
Correct |
25 ms |
42624 KB |
Output is correct |
6 |
Correct |
26 ms |
42624 KB |
Output is correct |
7 |
Correct |
31 ms |
42624 KB |
Output is correct |
8 |
Correct |
26 ms |
42752 KB |
Output is correct |
9 |
Correct |
39 ms |
42744 KB |
Output is correct |
10 |
Correct |
25 ms |
42624 KB |
Output is correct |
11 |
Correct |
33 ms |
42616 KB |
Output is correct |
12 |
Correct |
25 ms |
42624 KB |
Output is correct |
13 |
Correct |
67 ms |
42616 KB |
Output is correct |
14 |
Correct |
30 ms |
42624 KB |
Output is correct |
15 |
Correct |
32 ms |
42624 KB |
Output is correct |
16 |
Correct |
25 ms |
42624 KB |
Output is correct |
17 |
Correct |
26 ms |
42624 KB |
Output is correct |
18 |
Correct |
30 ms |
42616 KB |
Output is correct |
19 |
Correct |
31 ms |
42624 KB |
Output is correct |
20 |
Correct |
27 ms |
42624 KB |
Output is correct |
21 |
Correct |
26 ms |
42752 KB |
Output is correct |
22 |
Correct |
29 ms |
42624 KB |
Output is correct |
23 |
Correct |
25 ms |
42624 KB |
Output is correct |
24 |
Correct |
27 ms |
42616 KB |
Output is correct |
25 |
Correct |
27 ms |
42624 KB |
Output is correct |
26 |
Correct |
31 ms |
42624 KB |
Output is correct |
27 |
Correct |
25 ms |
42624 KB |
Output is correct |
28 |
Correct |
25 ms |
42616 KB |
Output is correct |
29 |
Correct |
32 ms |
42616 KB |
Output is correct |
30 |
Correct |
25 ms |
42624 KB |
Output is correct |
31 |
Correct |
39 ms |
42616 KB |
Output is correct |
32 |
Correct |
28 ms |
42624 KB |
Output is correct |
33 |
Correct |
26 ms |
42624 KB |
Output is correct |
34 |
Correct |
29 ms |
42872 KB |
Output is correct |
35 |
Correct |
130 ms |
48912 KB |
Output is correct |
36 |
Correct |
179 ms |
52320 KB |
Output is correct |
37 |
Correct |
183 ms |
52420 KB |
Output is correct |
38 |
Correct |
159 ms |
51960 KB |
Output is correct |
39 |
Correct |
35 ms |
42752 KB |
Output is correct |
40 |
Correct |
35 ms |
43008 KB |
Output is correct |
41 |
Correct |
32 ms |
43008 KB |
Output is correct |
42 |
Correct |
28 ms |
42752 KB |
Output is correct |
43 |
Correct |
31 ms |
43008 KB |
Output is correct |
44 |
Correct |
30 ms |
43008 KB |
Output is correct |
45 |
Correct |
28 ms |
42752 KB |
Output is correct |
46 |
Correct |
32 ms |
42752 KB |
Output is correct |
47 |
Correct |
30 ms |
43008 KB |
Output is correct |
48 |
Correct |
30 ms |
43008 KB |
Output is correct |
49 |
Correct |
39 ms |
43904 KB |
Output is correct |
50 |
Correct |
171 ms |
52472 KB |
Output is correct |
51 |
Correct |
35 ms |
43264 KB |
Output is correct |
52 |
Correct |
147 ms |
50424 KB |
Output is correct |
53 |
Correct |
38 ms |
43776 KB |
Output is correct |
54 |
Correct |
164 ms |
51440 KB |
Output is correct |
55 |
Correct |
43 ms |
43516 KB |
Output is correct |
56 |
Correct |
39 ms |
43512 KB |
Output is correct |
57 |
Correct |
32 ms |
43776 KB |
Output is correct |
58 |
Correct |
45 ms |
43768 KB |
Output is correct |
59 |
Correct |
34 ms |
42880 KB |
Output is correct |
60 |
Correct |
131 ms |
47916 KB |
Output is correct |
61 |
Correct |
36 ms |
43000 KB |
Output is correct |
62 |
Correct |
174 ms |
51704 KB |
Output is correct |
63 |
Correct |
756 ms |
108424 KB |
Output is correct |
64 |
Correct |
769 ms |
108412 KB |
Output is correct |
65 |
Correct |
731 ms |
108284 KB |
Output is correct |
66 |
Correct |
225 ms |
51440 KB |
Output is correct |
67 |
Correct |
497 ms |
61424 KB |
Output is correct |
68 |
Correct |
231 ms |
51492 KB |
Output is correct |
69 |
Correct |
694 ms |
60656 KB |
Output is correct |
70 |
Correct |
245 ms |
51436 KB |
Output is correct |
71 |
Correct |
241 ms |
51572 KB |
Output is correct |
72 |
Correct |
561 ms |
60796 KB |
Output is correct |
73 |
Correct |
758 ms |
60808 KB |
Output is correct |
74 |
Correct |
1578 ms |
75760 KB |
Output is correct |
75 |
Correct |
855 ms |
67884 KB |
Output is correct |
76 |
Correct |
1016 ms |
74616 KB |
Output is correct |
77 |
Correct |
1176 ms |
74668 KB |
Output is correct |
78 |
Correct |
400 ms |
61812 KB |
Output is correct |
79 |
Correct |
596 ms |
65508 KB |
Output is correct |
80 |
Correct |
361 ms |
61812 KB |
Output is correct |
81 |
Correct |
582 ms |
65292 KB |
Output is correct |
82 |
Correct |
996 ms |
88564 KB |
Output is correct |
83 |
Correct |
1012 ms |
88436 KB |
Output is correct |
84 |
Correct |
883 ms |
99200 KB |
Output is correct |
85 |
Correct |
882 ms |
99368 KB |
Output is correct |
86 |
Correct |
296 ms |
56172 KB |
Output is correct |
87 |
Correct |
341 ms |
58444 KB |
Output is correct |
88 |
Correct |
556 ms |
60920 KB |
Output is correct |
89 |
Correct |
985 ms |
73764 KB |
Output is correct |