/* in the name of allah */
#include<bits/stdc++.h>
using namespace std;
#define endl '\n'
#define pb push_back
#define F first
#define S second
#define mk make_pair
typedef long long ll;
const int N=1e5+7;
int n,m,a[N],vis[N];
ll ans,sz[N];
vector<int>st[N];
set<pair<int,int>>v[N];
vector<int>vec[N],cev[N];
vector<pair<int,int>>can;
void upd(int i,int x){
for(auto u:vec[i]){
v[a[u]].erase(mk(a[i],i));
if(a[u]==x || a[u]==a[i])continue;
v[a[u]].insert(mk(x,i));
auto it=v[x].lower_bound(mk(a[u],0));
if(it!=v[x].end() && it->F==a[u])can.pb(mk(x,a[u]));
}
for(auto u:cev[i]){
v[a[i]].erase(mk(a[u],u));
if(a[u]==x || a[u]==a[i])continue;
v[x].insert(mk(a[u],u));
auto it=v[a[u]].lower_bound(mk(x,0));
if(it!=v[a[u]].end() && it->F==x)can.pb(mk(x,a[u]));
}
a[i]=x;
}
void merge(int x,int y){
ans-=sz[x]*v[x].size();
ans-=sz[y]*v[y].size();
ans-=sz[x]*(sz[x]-1);
ans-=sz[y]*(sz[y]-1);
if(st[x].size()<st[y].size())swap(x,y);
for(auto i:st[y]){
upd(i,x);
st[x].pb(i);
}
vis[y]=1;
sz[x]+=sz[y];
ans+=sz[x]*(sz[x]-1);
ans+=sz[x]*v[x].size();
}
int main(){
ios::sync_with_stdio(0),cin.tie(0),cout.tie(0);
cin>>n>>m;
for(int i=1;i<=n;i++){
a[i]=i;
sz[i]=1;
st[i].pb(i);
}
int u,V;
while(m--){
cin>>u>>V;
vec[u].pb(V);
cev[V].pb(u);
int x=a[u],y=a[V];
if(x==y){
cout<<ans<<endl;
continue;
}
if(!v[y].count(mk(x,u)))ans+=1ll*(sz[y]);
v[y].insert(mk(x,u));
auto it=v[x].lower_bound(mk(y,0));
if(it!=v[x].end() && it->F==y)can.pb(mk(x,y));;
while(can.size()){
int f=can.back().F,s=can.back().S;
can.pop_back();
if(vis[f] || vis[s])continue;
merge(f,s);
}
cout<<ans<<endl;
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
11988 KB |
Output is correct |
2 |
Correct |
6 ms |
12076 KB |
Output is correct |
3 |
Correct |
6 ms |
11988 KB |
Output is correct |
4 |
Correct |
6 ms |
11972 KB |
Output is correct |
5 |
Correct |
6 ms |
11988 KB |
Output is correct |
6 |
Correct |
6 ms |
11988 KB |
Output is correct |
7 |
Correct |
6 ms |
12116 KB |
Output is correct |
8 |
Correct |
6 ms |
12084 KB |
Output is correct |
9 |
Correct |
7 ms |
12116 KB |
Output is correct |
10 |
Correct |
6 ms |
12080 KB |
Output is correct |
11 |
Correct |
8 ms |
12152 KB |
Output is correct |
12 |
Correct |
6 ms |
11988 KB |
Output is correct |
13 |
Correct |
6 ms |
11988 KB |
Output is correct |
14 |
Correct |
6 ms |
11988 KB |
Output is correct |
15 |
Correct |
6 ms |
12072 KB |
Output is correct |
16 |
Correct |
5 ms |
11976 KB |
Output is correct |
17 |
Correct |
6 ms |
11988 KB |
Output is correct |
18 |
Correct |
6 ms |
12076 KB |
Output is correct |
19 |
Correct |
6 ms |
11988 KB |
Output is correct |
20 |
Correct |
6 ms |
11988 KB |
Output is correct |
21 |
Correct |
7 ms |
12116 KB |
Output is correct |
22 |
Correct |
7 ms |
12076 KB |
Output is correct |
23 |
Correct |
6 ms |
12116 KB |
Output is correct |
24 |
Correct |
6 ms |
12104 KB |
Output is correct |
25 |
Correct |
6 ms |
12116 KB |
Output is correct |
26 |
Correct |
6 ms |
12072 KB |
Output is correct |
27 |
Correct |
6 ms |
11988 KB |
Output is correct |
28 |
Correct |
6 ms |
11988 KB |
Output is correct |
29 |
Correct |
6 ms |
12072 KB |
Output is correct |
30 |
Correct |
6 ms |
12076 KB |
Output is correct |
31 |
Correct |
6 ms |
12116 KB |
Output is correct |
32 |
Correct |
6 ms |
12044 KB |
Output is correct |
33 |
Correct |
6 ms |
12152 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
11988 KB |
Output is correct |
2 |
Correct |
6 ms |
12076 KB |
Output is correct |
3 |
Correct |
6 ms |
11988 KB |
Output is correct |
4 |
Correct |
6 ms |
11972 KB |
Output is correct |
5 |
Correct |
6 ms |
11988 KB |
Output is correct |
6 |
Correct |
6 ms |
11988 KB |
Output is correct |
7 |
Correct |
6 ms |
12116 KB |
Output is correct |
8 |
Correct |
6 ms |
12084 KB |
Output is correct |
9 |
Correct |
7 ms |
12116 KB |
Output is correct |
10 |
Correct |
6 ms |
12080 KB |
Output is correct |
11 |
Correct |
8 ms |
12152 KB |
Output is correct |
12 |
Correct |
6 ms |
11988 KB |
Output is correct |
13 |
Correct |
6 ms |
11988 KB |
Output is correct |
14 |
Correct |
6 ms |
11988 KB |
Output is correct |
15 |
Correct |
6 ms |
12072 KB |
Output is correct |
16 |
Correct |
5 ms |
11976 KB |
Output is correct |
17 |
Correct |
6 ms |
11988 KB |
Output is correct |
18 |
Correct |
6 ms |
12076 KB |
Output is correct |
19 |
Correct |
6 ms |
11988 KB |
Output is correct |
20 |
Correct |
6 ms |
11988 KB |
Output is correct |
21 |
Correct |
7 ms |
12116 KB |
Output is correct |
22 |
Correct |
7 ms |
12076 KB |
Output is correct |
23 |
Correct |
6 ms |
12116 KB |
Output is correct |
24 |
Correct |
6 ms |
12104 KB |
Output is correct |
25 |
Correct |
6 ms |
12116 KB |
Output is correct |
26 |
Correct |
6 ms |
12072 KB |
Output is correct |
27 |
Correct |
6 ms |
11988 KB |
Output is correct |
28 |
Correct |
6 ms |
11988 KB |
Output is correct |
29 |
Correct |
6 ms |
12072 KB |
Output is correct |
30 |
Correct |
6 ms |
12076 KB |
Output is correct |
31 |
Correct |
6 ms |
12116 KB |
Output is correct |
32 |
Correct |
6 ms |
12044 KB |
Output is correct |
33 |
Correct |
6 ms |
12152 KB |
Output is correct |
34 |
Correct |
7 ms |
12244 KB |
Output is correct |
35 |
Correct |
63 ms |
21020 KB |
Output is correct |
36 |
Correct |
75 ms |
21724 KB |
Output is correct |
37 |
Correct |
77 ms |
21720 KB |
Output is correct |
38 |
Correct |
79 ms |
21740 KB |
Output is correct |
39 |
Correct |
9 ms |
12504 KB |
Output is correct |
40 |
Correct |
8 ms |
12340 KB |
Output is correct |
41 |
Correct |
8 ms |
12372 KB |
Output is correct |
42 |
Correct |
7 ms |
12372 KB |
Output is correct |
43 |
Correct |
7 ms |
12372 KB |
Output is correct |
44 |
Correct |
8 ms |
12372 KB |
Output is correct |
45 |
Correct |
7 ms |
12324 KB |
Output is correct |
46 |
Correct |
7 ms |
12372 KB |
Output is correct |
47 |
Correct |
8 ms |
12372 KB |
Output is correct |
48 |
Correct |
8 ms |
12372 KB |
Output is correct |
49 |
Correct |
11 ms |
12628 KB |
Output is correct |
50 |
Correct |
76 ms |
21768 KB |
Output is correct |
51 |
Correct |
11 ms |
12468 KB |
Output is correct |
52 |
Correct |
70 ms |
21580 KB |
Output is correct |
53 |
Correct |
11 ms |
12628 KB |
Output is correct |
54 |
Correct |
74 ms |
21776 KB |
Output is correct |
55 |
Correct |
8 ms |
12500 KB |
Output is correct |
56 |
Correct |
10 ms |
12556 KB |
Output is correct |
57 |
Correct |
8 ms |
12472 KB |
Output is correct |
58 |
Correct |
8 ms |
12472 KB |
Output is correct |
59 |
Correct |
8 ms |
12380 KB |
Output is correct |
60 |
Correct |
64 ms |
21724 KB |
Output is correct |
61 |
Correct |
9 ms |
12336 KB |
Output is correct |
62 |
Correct |
78 ms |
21664 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
11988 KB |
Output is correct |
2 |
Correct |
6 ms |
12076 KB |
Output is correct |
3 |
Correct |
6 ms |
11988 KB |
Output is correct |
4 |
Correct |
6 ms |
11972 KB |
Output is correct |
5 |
Correct |
6 ms |
11988 KB |
Output is correct |
6 |
Correct |
6 ms |
11988 KB |
Output is correct |
7 |
Correct |
6 ms |
12116 KB |
Output is correct |
8 |
Correct |
6 ms |
12084 KB |
Output is correct |
9 |
Correct |
7 ms |
12116 KB |
Output is correct |
10 |
Correct |
6 ms |
12080 KB |
Output is correct |
11 |
Correct |
8 ms |
12152 KB |
Output is correct |
12 |
Correct |
6 ms |
11988 KB |
Output is correct |
13 |
Correct |
6 ms |
11988 KB |
Output is correct |
14 |
Correct |
6 ms |
11988 KB |
Output is correct |
15 |
Correct |
6 ms |
12072 KB |
Output is correct |
16 |
Correct |
5 ms |
11976 KB |
Output is correct |
17 |
Correct |
6 ms |
11988 KB |
Output is correct |
18 |
Correct |
6 ms |
12076 KB |
Output is correct |
19 |
Correct |
6 ms |
11988 KB |
Output is correct |
20 |
Correct |
6 ms |
11988 KB |
Output is correct |
21 |
Correct |
7 ms |
12116 KB |
Output is correct |
22 |
Correct |
7 ms |
12076 KB |
Output is correct |
23 |
Correct |
6 ms |
12116 KB |
Output is correct |
24 |
Correct |
6 ms |
12104 KB |
Output is correct |
25 |
Correct |
6 ms |
12116 KB |
Output is correct |
26 |
Correct |
6 ms |
12072 KB |
Output is correct |
27 |
Correct |
6 ms |
11988 KB |
Output is correct |
28 |
Correct |
6 ms |
11988 KB |
Output is correct |
29 |
Correct |
6 ms |
12072 KB |
Output is correct |
30 |
Correct |
6 ms |
12076 KB |
Output is correct |
31 |
Correct |
6 ms |
12116 KB |
Output is correct |
32 |
Correct |
6 ms |
12044 KB |
Output is correct |
33 |
Correct |
6 ms |
12152 KB |
Output is correct |
34 |
Correct |
7 ms |
12244 KB |
Output is correct |
35 |
Correct |
63 ms |
21020 KB |
Output is correct |
36 |
Correct |
75 ms |
21724 KB |
Output is correct |
37 |
Correct |
77 ms |
21720 KB |
Output is correct |
38 |
Correct |
79 ms |
21740 KB |
Output is correct |
39 |
Correct |
9 ms |
12504 KB |
Output is correct |
40 |
Correct |
8 ms |
12340 KB |
Output is correct |
41 |
Correct |
8 ms |
12372 KB |
Output is correct |
42 |
Correct |
7 ms |
12372 KB |
Output is correct |
43 |
Correct |
7 ms |
12372 KB |
Output is correct |
44 |
Correct |
8 ms |
12372 KB |
Output is correct |
45 |
Correct |
7 ms |
12324 KB |
Output is correct |
46 |
Correct |
7 ms |
12372 KB |
Output is correct |
47 |
Correct |
8 ms |
12372 KB |
Output is correct |
48 |
Correct |
8 ms |
12372 KB |
Output is correct |
49 |
Correct |
11 ms |
12628 KB |
Output is correct |
50 |
Correct |
76 ms |
21768 KB |
Output is correct |
51 |
Correct |
11 ms |
12468 KB |
Output is correct |
52 |
Correct |
70 ms |
21580 KB |
Output is correct |
53 |
Correct |
11 ms |
12628 KB |
Output is correct |
54 |
Correct |
74 ms |
21776 KB |
Output is correct |
55 |
Correct |
8 ms |
12500 KB |
Output is correct |
56 |
Correct |
10 ms |
12556 KB |
Output is correct |
57 |
Correct |
8 ms |
12472 KB |
Output is correct |
58 |
Correct |
8 ms |
12472 KB |
Output is correct |
59 |
Correct |
8 ms |
12380 KB |
Output is correct |
60 |
Correct |
64 ms |
21724 KB |
Output is correct |
61 |
Correct |
9 ms |
12336 KB |
Output is correct |
62 |
Correct |
78 ms |
21664 KB |
Output is correct |
63 |
Correct |
303 ms |
42660 KB |
Output is correct |
64 |
Correct |
292 ms |
42684 KB |
Output is correct |
65 |
Correct |
302 ms |
42676 KB |
Output is correct |
66 |
Correct |
115 ms |
27832 KB |
Output is correct |
67 |
Correct |
340 ms |
31740 KB |
Output is correct |
68 |
Correct |
115 ms |
28604 KB |
Output is correct |
69 |
Correct |
226 ms |
29424 KB |
Output is correct |
70 |
Correct |
140 ms |
27972 KB |
Output is correct |
71 |
Correct |
128 ms |
27948 KB |
Output is correct |
72 |
Correct |
286 ms |
29088 KB |
Output is correct |
73 |
Correct |
274 ms |
29388 KB |
Output is correct |
74 |
Correct |
602 ms |
35988 KB |
Output is correct |
75 |
Correct |
328 ms |
32580 KB |
Output is correct |
76 |
Correct |
456 ms |
34320 KB |
Output is correct |
77 |
Correct |
411 ms |
34336 KB |
Output is correct |
78 |
Correct |
96 ms |
27712 KB |
Output is correct |
79 |
Correct |
211 ms |
32184 KB |
Output is correct |
80 |
Correct |
144 ms |
27680 KB |
Output is correct |
81 |
Correct |
292 ms |
31792 KB |
Output is correct |
82 |
Correct |
328 ms |
36868 KB |
Output is correct |
83 |
Correct |
411 ms |
36860 KB |
Output is correct |
84 |
Correct |
321 ms |
36696 KB |
Output is correct |
85 |
Correct |
300 ms |
36732 KB |
Output is correct |
86 |
Correct |
209 ms |
32652 KB |
Output is correct |
87 |
Correct |
297 ms |
34752 KB |
Output is correct |
88 |
Correct |
270 ms |
29128 KB |
Output is correct |
89 |
Correct |
424 ms |
34012 KB |
Output is correct |