#include<bits/stdc++.h>
//#define cin fin
//#define cout fout
using namespace std;
//ifstream fin("a.in");
//ofstream fout("a.out");
const int N = 2e5;
typedef long long ll;
ll ans = 0;
int n,m;
struct DSU{
int p,sz;
set <int> boys;
vector <int> comp;
}dsu[N];
set <int> edges[N];
multiset <int> compedges[N];
int leader(int x){
if(x == dsu[x].p)return x;
return dsu[x].p = leader(dsu[x].p);
}
bool checkedge(int x,int y){
int compx = leader(x);
int compy = leader(y);
if(compx == compy)return 1;
if(dsu[compy].boys.find(x) != dsu[compy].boys.end())return 1;
return 0;
}
bool check(int x,int y){
if(x == y)return 1;
if(compedges[x].find(y) != compedges[x].end())return 1;
return 0;
}
void connect(int x,int y){
x = leader(x);
y = leader(y);
if(x == y)return;
if(dsu[x].sz + dsu[x].boys.size() + compedges[x].size() > dsu[y].sz + dsu[y].boys.size() + compedges[y].size())swap(x,y);
///check new edges
int nr1 = -1;
for(int i = 0;i < n;i++){
if(check(leader(i),y) && check(x,leader(i)) && leader(i) != y){
nr1 = leader(i);
}
if(check(leader(i),x) && check(y,leader(i)) && leader(i) != y){
nr1 = leader(i);
}
}
///y connected to x
auto it = dsu[x].boys.begin();
while(it != dsu[x].boys.end()){
if(leader(*it) == y){
ans-=dsu[x].sz;
it = dsu[x].boys.erase(it);
edges[*it].erase(x);
compedges[y].erase(compedges[y].find(x));
}else{
it++;
}
}
///x connected to y
for(auto i:dsu[x].comp){
auto it = dsu[y].boys.find(i);
if(it != dsu[y].boys.end()){
ans-=dsu[y].sz;
dsu[y].boys.erase(it);
edges[*it].erase(y);
compedges[x].erase(compedges[x].find(y));
}
dsu[y].comp.push_back(i);
}
ans+=1ll*dsu[x].boys.size()*dsu[y].sz;
ans+=1ll*dsu[y].boys.size()*dsu[x].sz;
///x and y connected to random node
for(auto i:dsu[x].boys){
assert(leader(i) != y);
if(dsu[y].boys.find(i) != dsu[y].boys.end()){
ans-=dsu[x].sz;
ans-=dsu[y].sz;
}
dsu[y].boys.insert(i);
edges[i].erase(x);
compedges[leader(i)].erase(compedges[leader(i)].find(leader(x)));
edges[i].insert(y);
compedges[leader(i)].insert(leader(y));
}
for(auto i:compedges[x]){
compedges[y].insert(i);
}
ans+=2ll*dsu[x].sz*dsu[y].sz;
dsu[x].p = y;
dsu[y].sz+=dsu[x].sz;
dsu[x].comp.clear();
dsu[x].boys.clear();
compedges[x].clear();
///check for new connections
for(auto i:dsu[y].boys){
if(check(leader(i),y) && check(y,leader(i)) && nr1 != -1){
nr1 = leader(i);
}
}
if(nr1 != -1){
connect(y,nr1);
}
}
void addedge(int x,int y){
int compx = leader(x);
int compy = leader(y);
if(checkedge(x,y))return;
if(check(compy,compx)){
connect(x,y);
}else{
dsu[compy].boys.insert(x);
edges[x].insert(compy);
compedges[compx].insert(compy);
ans+=dsu[compy].sz;
}
}
void dbg(){
for(int i = 0;i < n;i++){
cout<<"dsuinvestigate:"<<i<<'\n';
cout<<dsu[i].p<<' '<<dsu[i].sz<<'\n';
for(auto j:dsu[i].boys)cout<<j<<' ';cout<<'\n';
for(auto j:dsu[i].comp)cout<<j<<' ';cout<<'\n';
}
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cin>>n>>m;
for(int i = 0;i < n;i++){
dsu[i] = {i,1};
dsu[i].comp.push_back(i);
}
for(int i = 0;i < m;i++){
int u,w;
cin>>u>>w;
u--;w--;
addedge(u,w);
//dbg();
cout<<ans<<'\n';
}
return 0;
}
/**
5 20
4 2
1 5
2 3
2 5
3 2
3 1
4 5
1 2
5 2
1 4
4 1
3 4
5 1
2 4
2 1
4 3
1 3
5 4
3 5
5 3
**/
Compilation message
joitter2.cpp: In function 'void dbg()':
joitter2.cpp:123:9: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
123 | for(auto j:dsu[i].boys)cout<<j<<' ';cout<<'\n';
| ^~~
joitter2.cpp:123:45: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
123 | for(auto j:dsu[i].boys)cout<<j<<' ';cout<<'\n';
| ^~~~
joitter2.cpp:124:9: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
124 | for(auto j:dsu[i].comp)cout<<j<<' ';cout<<'\n';
| ^~~
joitter2.cpp:124:45: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
124 | for(auto j:dsu[i].comp)cout<<j<<' ';cout<<'\n';
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
34652 KB |
Output is correct |
2 |
Correct |
5 ms |
34652 KB |
Output is correct |
3 |
Correct |
6 ms |
34896 KB |
Output is correct |
4 |
Correct |
6 ms |
34652 KB |
Output is correct |
5 |
Correct |
5 ms |
34652 KB |
Output is correct |
6 |
Correct |
6 ms |
34652 KB |
Output is correct |
7 |
Correct |
6 ms |
34908 KB |
Output is correct |
8 |
Correct |
6 ms |
34908 KB |
Output is correct |
9 |
Correct |
6 ms |
34936 KB |
Output is correct |
10 |
Correct |
7 ms |
34648 KB |
Output is correct |
11 |
Correct |
6 ms |
34904 KB |
Output is correct |
12 |
Correct |
6 ms |
34908 KB |
Output is correct |
13 |
Correct |
5 ms |
34900 KB |
Output is correct |
14 |
Correct |
6 ms |
34680 KB |
Output is correct |
15 |
Correct |
6 ms |
34908 KB |
Output is correct |
16 |
Correct |
5 ms |
34904 KB |
Output is correct |
17 |
Correct |
5 ms |
34764 KB |
Output is correct |
18 |
Correct |
5 ms |
34652 KB |
Output is correct |
19 |
Correct |
5 ms |
34652 KB |
Output is correct |
20 |
Correct |
6 ms |
34904 KB |
Output is correct |
21 |
Correct |
6 ms |
34908 KB |
Output is correct |
22 |
Correct |
6 ms |
34908 KB |
Output is correct |
23 |
Correct |
6 ms |
34908 KB |
Output is correct |
24 |
Correct |
6 ms |
34908 KB |
Output is correct |
25 |
Correct |
6 ms |
34908 KB |
Output is correct |
26 |
Correct |
5 ms |
34908 KB |
Output is correct |
27 |
Correct |
6 ms |
34908 KB |
Output is correct |
28 |
Correct |
6 ms |
34908 KB |
Output is correct |
29 |
Correct |
6 ms |
34908 KB |
Output is correct |
30 |
Correct |
6 ms |
34648 KB |
Output is correct |
31 |
Correct |
6 ms |
34908 KB |
Output is correct |
32 |
Correct |
5 ms |
34908 KB |
Output is correct |
33 |
Correct |
6 ms |
34908 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
34652 KB |
Output is correct |
2 |
Correct |
5 ms |
34652 KB |
Output is correct |
3 |
Correct |
6 ms |
34896 KB |
Output is correct |
4 |
Correct |
6 ms |
34652 KB |
Output is correct |
5 |
Correct |
5 ms |
34652 KB |
Output is correct |
6 |
Correct |
6 ms |
34652 KB |
Output is correct |
7 |
Correct |
6 ms |
34908 KB |
Output is correct |
8 |
Correct |
6 ms |
34908 KB |
Output is correct |
9 |
Correct |
6 ms |
34936 KB |
Output is correct |
10 |
Correct |
7 ms |
34648 KB |
Output is correct |
11 |
Correct |
6 ms |
34904 KB |
Output is correct |
12 |
Correct |
6 ms |
34908 KB |
Output is correct |
13 |
Correct |
5 ms |
34900 KB |
Output is correct |
14 |
Correct |
6 ms |
34680 KB |
Output is correct |
15 |
Correct |
6 ms |
34908 KB |
Output is correct |
16 |
Correct |
5 ms |
34904 KB |
Output is correct |
17 |
Correct |
5 ms |
34764 KB |
Output is correct |
18 |
Correct |
5 ms |
34652 KB |
Output is correct |
19 |
Correct |
5 ms |
34652 KB |
Output is correct |
20 |
Correct |
6 ms |
34904 KB |
Output is correct |
21 |
Correct |
6 ms |
34908 KB |
Output is correct |
22 |
Correct |
6 ms |
34908 KB |
Output is correct |
23 |
Correct |
6 ms |
34908 KB |
Output is correct |
24 |
Correct |
6 ms |
34908 KB |
Output is correct |
25 |
Correct |
6 ms |
34908 KB |
Output is correct |
26 |
Correct |
5 ms |
34908 KB |
Output is correct |
27 |
Correct |
6 ms |
34908 KB |
Output is correct |
28 |
Correct |
6 ms |
34908 KB |
Output is correct |
29 |
Correct |
6 ms |
34908 KB |
Output is correct |
30 |
Correct |
6 ms |
34648 KB |
Output is correct |
31 |
Correct |
6 ms |
34908 KB |
Output is correct |
32 |
Correct |
5 ms |
34908 KB |
Output is correct |
33 |
Correct |
6 ms |
34908 KB |
Output is correct |
34 |
Correct |
7 ms |
35080 KB |
Output is correct |
35 |
Correct |
122 ms |
40532 KB |
Output is correct |
36 |
Correct |
471 ms |
43344 KB |
Output is correct |
37 |
Correct |
442 ms |
43348 KB |
Output is correct |
38 |
Correct |
418 ms |
43088 KB |
Output is correct |
39 |
Correct |
44 ms |
34908 KB |
Output is correct |
40 |
Correct |
68 ms |
35172 KB |
Output is correct |
41 |
Correct |
68 ms |
35160 KB |
Output is correct |
42 |
Correct |
48 ms |
34908 KB |
Output is correct |
43 |
Correct |
80 ms |
35156 KB |
Output is correct |
44 |
Correct |
79 ms |
35164 KB |
Output is correct |
45 |
Correct |
57 ms |
34908 KB |
Output is correct |
46 |
Correct |
45 ms |
35052 KB |
Output is correct |
47 |
Correct |
85 ms |
35160 KB |
Output is correct |
48 |
Correct |
87 ms |
35160 KB |
Output is correct |
49 |
Correct |
179 ms |
35788 KB |
Output is correct |
50 |
Correct |
466 ms |
43604 KB |
Output is correct |
51 |
Correct |
118 ms |
35400 KB |
Output is correct |
52 |
Correct |
344 ms |
41884 KB |
Output is correct |
53 |
Correct |
174 ms |
35668 KB |
Output is correct |
54 |
Correct |
416 ms |
42580 KB |
Output is correct |
55 |
Correct |
138 ms |
35664 KB |
Output is correct |
56 |
Correct |
129 ms |
35664 KB |
Output is correct |
57 |
Correct |
132 ms |
35664 KB |
Output is correct |
58 |
Correct |
128 ms |
35608 KB |
Output is correct |
59 |
Correct |
23 ms |
35156 KB |
Output is correct |
60 |
Correct |
68 ms |
40020 KB |
Output is correct |
61 |
Correct |
95 ms |
35164 KB |
Output is correct |
62 |
Correct |
430 ms |
42836 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
34652 KB |
Output is correct |
2 |
Correct |
5 ms |
34652 KB |
Output is correct |
3 |
Correct |
6 ms |
34896 KB |
Output is correct |
4 |
Correct |
6 ms |
34652 KB |
Output is correct |
5 |
Correct |
5 ms |
34652 KB |
Output is correct |
6 |
Correct |
6 ms |
34652 KB |
Output is correct |
7 |
Correct |
6 ms |
34908 KB |
Output is correct |
8 |
Correct |
6 ms |
34908 KB |
Output is correct |
9 |
Correct |
6 ms |
34936 KB |
Output is correct |
10 |
Correct |
7 ms |
34648 KB |
Output is correct |
11 |
Correct |
6 ms |
34904 KB |
Output is correct |
12 |
Correct |
6 ms |
34908 KB |
Output is correct |
13 |
Correct |
5 ms |
34900 KB |
Output is correct |
14 |
Correct |
6 ms |
34680 KB |
Output is correct |
15 |
Correct |
6 ms |
34908 KB |
Output is correct |
16 |
Correct |
5 ms |
34904 KB |
Output is correct |
17 |
Correct |
5 ms |
34764 KB |
Output is correct |
18 |
Correct |
5 ms |
34652 KB |
Output is correct |
19 |
Correct |
5 ms |
34652 KB |
Output is correct |
20 |
Correct |
6 ms |
34904 KB |
Output is correct |
21 |
Correct |
6 ms |
34908 KB |
Output is correct |
22 |
Correct |
6 ms |
34908 KB |
Output is correct |
23 |
Correct |
6 ms |
34908 KB |
Output is correct |
24 |
Correct |
6 ms |
34908 KB |
Output is correct |
25 |
Correct |
6 ms |
34908 KB |
Output is correct |
26 |
Correct |
5 ms |
34908 KB |
Output is correct |
27 |
Correct |
6 ms |
34908 KB |
Output is correct |
28 |
Correct |
6 ms |
34908 KB |
Output is correct |
29 |
Correct |
6 ms |
34908 KB |
Output is correct |
30 |
Correct |
6 ms |
34648 KB |
Output is correct |
31 |
Correct |
6 ms |
34908 KB |
Output is correct |
32 |
Correct |
5 ms |
34908 KB |
Output is correct |
33 |
Correct |
6 ms |
34908 KB |
Output is correct |
34 |
Correct |
7 ms |
35080 KB |
Output is correct |
35 |
Correct |
122 ms |
40532 KB |
Output is correct |
36 |
Correct |
471 ms |
43344 KB |
Output is correct |
37 |
Correct |
442 ms |
43348 KB |
Output is correct |
38 |
Correct |
418 ms |
43088 KB |
Output is correct |
39 |
Correct |
44 ms |
34908 KB |
Output is correct |
40 |
Correct |
68 ms |
35172 KB |
Output is correct |
41 |
Correct |
68 ms |
35160 KB |
Output is correct |
42 |
Correct |
48 ms |
34908 KB |
Output is correct |
43 |
Correct |
80 ms |
35156 KB |
Output is correct |
44 |
Correct |
79 ms |
35164 KB |
Output is correct |
45 |
Correct |
57 ms |
34908 KB |
Output is correct |
46 |
Correct |
45 ms |
35052 KB |
Output is correct |
47 |
Correct |
85 ms |
35160 KB |
Output is correct |
48 |
Correct |
87 ms |
35160 KB |
Output is correct |
49 |
Correct |
179 ms |
35788 KB |
Output is correct |
50 |
Correct |
466 ms |
43604 KB |
Output is correct |
51 |
Correct |
118 ms |
35400 KB |
Output is correct |
52 |
Correct |
344 ms |
41884 KB |
Output is correct |
53 |
Correct |
174 ms |
35668 KB |
Output is correct |
54 |
Correct |
416 ms |
42580 KB |
Output is correct |
55 |
Correct |
138 ms |
35664 KB |
Output is correct |
56 |
Correct |
129 ms |
35664 KB |
Output is correct |
57 |
Correct |
132 ms |
35664 KB |
Output is correct |
58 |
Correct |
128 ms |
35608 KB |
Output is correct |
59 |
Correct |
23 ms |
35156 KB |
Output is correct |
60 |
Correct |
68 ms |
40020 KB |
Output is correct |
61 |
Correct |
95 ms |
35164 KB |
Output is correct |
62 |
Correct |
430 ms |
42836 KB |
Output is correct |
63 |
Correct |
303 ms |
85584 KB |
Output is correct |
64 |
Correct |
297 ms |
85488 KB |
Output is correct |
65 |
Correct |
327 ms |
85588 KB |
Output is correct |
66 |
Execution timed out |
5066 ms |
39252 KB |
Time limit exceeded |
67 |
Halted |
0 ms |
0 KB |
- |