답안 #771823

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
771823	2023-07-03T09:54:55 Z	Mohammad_Parsa	조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2)	C++17	100 / 100	602 ms	42684 KB

joitter2

/* 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;
	}
}

Subtask #1
1.0 / 1.0

#	결과	실행 시간	메모리	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

Subtask #2
16.0 / 16.0

#	결과	실행 시간	메모리	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

Subtask #3
83.0 / 83.0

#	결과	실행 시간	메모리	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

답안 #771823

Compilation message

Subtask #1 1.0 / 1.0

Subtask #2 16.0 / 16.0

Subtask #3 83.0 / 83.0

Subtask #1
1.0 / 1.0

Subtask #2
16.0 / 16.0

Subtask #3
83.0 / 83.0