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답안 #389760

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
389760 2021-04-14T13:00:24 Z ogibogi2004 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) C++14
100 / 100
 1491 ms 73796 KB 
#include<bits/stdc++.h>
using namespace std;
#define ll long long
const int MAXN=1e5+6;
int n,m;
int par[MAXN];
ll sz[MAXN];
set<int>edges_in[MAXN];
set<int>edges_out[MAXN];
set<int>comp[MAXN];
ll ans=0;
int getRoot(int u)
{
	if(u==par[u])return u;
	return par[u]=getRoot(par[u]);
}
ll cnt(int u)
{
	return sz[u]*(sz[u]-1ll)+edges_in[u].size()*sz[u];
}
stack<pair<int,int> >merges;
void merge(int a,int b)
{
	a=getRoot(a);b=getRoot(b);
	if(a==b)return;
	if(comp[b].size()+edges_in[b].size()+edges_out[b].size()>comp[a].size()+edges_in[a].size()+edges_out[a].size())swap(a,b);
	for(auto xd:edges_in[b])
	{
		int t=getRoot(xd);
		if(t==a)
		{
			continue;
		}
		edges_out[t].erase(b);
		edges_out[t].insert(a);
		edges_in[a].insert(xd);
		if(edges_out[a].find(t)!=edges_out[a].end())
		{
			merges.push({xd,a});
		}
	}
	for(auto xd:edges_out[b])
	{
		int t=getRoot(xd);
		if(xd==a)
		{
			continue;
		}
		edges_out[a].insert(xd);
		//edges_in[t].erase(b);
		//edges_in[t].insert(a);
		if(edges_out[xd].find(a)!=edges_out[xd].end())
		{
			merges.push({xd,a});
		}
	}
	edges_in[a].erase(b);
	edges_out[a].erase(b);
	for(auto xd:comp[b])
	{
		edges_in[a].erase(xd);
		comp[a].insert(xd);
	}
	par[b]=a;
	sz[a]+=sz[b];
}
int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);
	cin>>n>>m;
	for(int i=1;i<=n;i++)
	{
		par[i]=i;comp[i].insert(i);
		sz[i]=1;
	}
	for(int i=0;i<m;i++)
	{
		int a,b,a1,b1;
		cin>>a>>b;a1=a;b1=b;
		a=getRoot(a);
		b=getRoot(b);
		if(a==b)
		{
			cout<<ans<<endl;
			continue;
		}
		else
		{
			if(edges_out[b].find(a)!=edges_out[b].end())
			{
				merges.push({a,b});
				ans-=cnt(a);ans-=cnt(b);
				edges_in[b].insert(a1);
				edges_out[a].insert(b);
				ans+=cnt(a);ans+=cnt(b);
				int x,y;
				while(!merges.empty())
				{
					tie(x,y)=merges.top();merges.pop();
					x=getRoot(x);y=getRoot(y);
					if(x!=y)
					{
						ans-=cnt(x);
						ans-=cnt(y);
						merge(x,y);
						ans+=cnt(getRoot(x));
					}
					//ans+=cnt(getRoot(y));
				}
			}
			else if(edges_out[b].find(a)==edges_out[b].end())
			{
				ans-=cnt(b);
				edges_in[b].insert(a1);
				edges_out[a].insert(b);
				ans+=cnt(b);
			}
			/*for(int j=1;j<=n;j++)
			{
				cout<<getRoot(j)<<" ";
			}
			cout<<endl;
			for(int j=1;j<=n;j++)
			{
				cout<<cnt(getRoot(j))<<" ";
			}
			cout<<endl;*/
			cout<<ans<<endl;
		}
		/*for(int j=1;j<=n;j++)cout<<getRoot(j)<<" ";
		cout<<endl;
		for(int j=1;j<=n;j++)cout<<cnt(getRoot(j))<<" ";
		cout<<endl;*/
		/*cout<<"**\n";
		for(int j=1;j<=n;j++)
		{
			cout<<getRoot(j)<<":\n";
			for(auto xd:edges_in[getRoot(j)])
			{
				cout<<xd<<" ";
			}
			cout<<endl;
		}*/
	}
return 0;
}

Compilation message

joitter2.cpp: In function 'void merge(int, int)':
joitter2.cpp:44:7: warning: unused variable 't' [-Wunused-variable]
   44 |   int t=getRoot(xd);
      |       ^
joitter2.cpp: In function 'int main()':
joitter2.cpp:80:14: warning: variable 'b1' set but not used [-Wunused-but-set-variable]
   80 |   int a,b,a1,b1;
      |              ^~

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 14412 KB Output is correct
2 Correct 10 ms 14392 KB Output is correct
3 Correct 9 ms 14308 KB Output is correct
4 Correct 9 ms 14412 KB Output is correct
5 Correct 9 ms 14412 KB Output is correct
6 Correct 10 ms 14412 KB Output is correct
7 Correct 18 ms 14412 KB Output is correct
8 Correct 14 ms 14448 KB Output is correct
9 Correct 14 ms 14412 KB Output is correct
10 Correct 10 ms 14412 KB Output is correct
11 Correct 10 ms 14412 KB Output is correct
12 Correct 9 ms 14412 KB Output is correct
13 Correct 9 ms 14412 KB Output is correct
14 Correct 10 ms 14340 KB Output is correct
15 Correct 9 ms 14416 KB Output is correct
16 Correct 10 ms 14428 KB Output is correct
17 Correct 9 ms 14412 KB Output is correct
18 Correct 10 ms 14412 KB Output is correct
19 Correct 10 ms 14412 KB Output is correct
20 Correct 10 ms 14412 KB Output is correct
21 Correct 14 ms 14412 KB Output is correct
22 Correct 10 ms 14412 KB Output is correct
23 Correct 11 ms 14444 KB Output is correct
24 Correct 10 ms 14412 KB Output is correct
25 Correct 13 ms 14412 KB Output is correct
26 Correct 10 ms 14412 KB Output is correct
27 Correct 9 ms 14416 KB Output is correct
28 Correct 10 ms 14412 KB Output is correct
29 Correct 10 ms 14412 KB Output is correct
30 Correct 10 ms 14416 KB Output is correct
31 Correct 13 ms 14432 KB Output is correct
32 Correct 11 ms 14388 KB Output is correct
33 Correct 13 ms 14440 KB Output is correct

Subtask #2
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 14412 KB Output is correct
2 Correct 10 ms 14392 KB Output is correct
3 Correct 9 ms 14308 KB Output is correct
4 Correct 9 ms 14412 KB Output is correct
5 Correct 9 ms 14412 KB Output is correct
6 Correct 10 ms 14412 KB Output is correct
7 Correct 18 ms 14412 KB Output is correct
8 Correct 14 ms 14448 KB Output is correct
9 Correct 14 ms 14412 KB Output is correct
10 Correct 10 ms 14412 KB Output is correct
11 Correct 10 ms 14412 KB Output is correct
12 Correct 9 ms 14412 KB Output is correct
13 Correct 9 ms 14412 KB Output is correct
14 Correct 10 ms 14340 KB Output is correct
15 Correct 9 ms 14416 KB Output is correct
16 Correct 10 ms 14428 KB Output is correct
17 Correct 9 ms 14412 KB Output is correct
18 Correct 10 ms 14412 KB Output is correct
19 Correct 10 ms 14412 KB Output is correct
20 Correct 10 ms 14412 KB Output is correct
21 Correct 14 ms 14412 KB Output is correct
22 Correct 10 ms 14412 KB Output is correct
23 Correct 11 ms 14444 KB Output is correct
24 Correct 10 ms 14412 KB Output is correct
25 Correct 13 ms 14412 KB Output is correct
26 Correct 10 ms 14412 KB Output is correct
27 Correct 9 ms 14416 KB Output is correct
28 Correct 10 ms 14412 KB Output is correct
29 Correct 10 ms 14412 KB Output is correct
30 Correct 10 ms 14416 KB Output is correct
31 Correct 13 ms 14432 KB Output is correct
32 Correct 11 ms 14388 KB Output is correct
33 Correct 13 ms 14440 KB Output is correct
34 Correct 27 ms 14412 KB Output is correct
35 Correct 543 ms 17540 KB Output is correct
36 Correct 581 ms 19328 KB Output is correct
37 Correct 614 ms 19460 KB Output is correct
38 Correct 576 ms 19220 KB Output is correct
39 Correct 19 ms 14800 KB Output is correct
40 Correct 20 ms 15180 KB Output is correct
41 Correct 20 ms 15104 KB Output is correct
42 Correct 19 ms 14788 KB Output is correct
43 Correct 21 ms 14780 KB Output is correct
44 Correct 21 ms 14796 KB Output is correct
45 Correct 18 ms 14828 KB Output is correct
46 Correct 19 ms 14796 KB Output is correct
47 Correct 20 ms 14940 KB Output is correct
48 Correct 21 ms 14924 KB Output is correct
49 Correct 35 ms 15308 KB Output is correct
50 Correct 578 ms 19488 KB Output is correct
51 Correct 33 ms 14948 KB Output is correct
52 Correct 559 ms 18208 KB Output is correct
53 Correct 35 ms 15272 KB Output is correct
54 Correct 590 ms 18832 KB Output is correct
55 Correct 20 ms 14992 KB Output is correct
56 Correct 21 ms 14924 KB Output is correct
57 Correct 24 ms 14980 KB Output is correct
58 Correct 21 ms 14972 KB Output is correct
59 Correct 21 ms 15180 KB Output is correct
60 Correct 540 ms 17576 KB Output is correct
61 Correct 22 ms 14912 KB Output is correct
62 Correct 598 ms 19152 KB Output is correct

Subtask #3
83.0 / 83.0

# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 14412 KB Output is correct
2 Correct 10 ms 14392 KB Output is correct
3 Correct 9 ms 14308 KB Output is correct
4 Correct 9 ms 14412 KB Output is correct
5 Correct 9 ms 14412 KB Output is correct
6 Correct 10 ms 14412 KB Output is correct
7 Correct 18 ms 14412 KB Output is correct
8 Correct 14 ms 14448 KB Output is correct
9 Correct 14 ms 14412 KB Output is correct
10 Correct 10 ms 14412 KB Output is correct
11 Correct 10 ms 14412 KB Output is correct
12 Correct 9 ms 14412 KB Output is correct
13 Correct 9 ms 14412 KB Output is correct
14 Correct 10 ms 14340 KB Output is correct
15 Correct 9 ms 14416 KB Output is correct
16 Correct 10 ms 14428 KB Output is correct
17 Correct 9 ms 14412 KB Output is correct
18 Correct 10 ms 14412 KB Output is correct
19 Correct 10 ms 14412 KB Output is correct
20 Correct 10 ms 14412 KB Output is correct
21 Correct 14 ms 14412 KB Output is correct
22 Correct 10 ms 14412 KB Output is correct
23 Correct 11 ms 14444 KB Output is correct
24 Correct 10 ms 14412 KB Output is correct
25 Correct 13 ms 14412 KB Output is correct
26 Correct 10 ms 14412 KB Output is correct
27 Correct 9 ms 14416 KB Output is correct
28 Correct 10 ms 14412 KB Output is correct
29 Correct 10 ms 14412 KB Output is correct
30 Correct 10 ms 14416 KB Output is correct
31 Correct 13 ms 14432 KB Output is correct
32 Correct 11 ms 14388 KB Output is correct
33 Correct 13 ms 14440 KB Output is correct
34 Correct 27 ms 14412 KB Output is correct
35 Correct 543 ms 17540 KB Output is correct
36 Correct 581 ms 19328 KB Output is correct
37 Correct 614 ms 19460 KB Output is correct
38 Correct 576 ms 19220 KB Output is correct
39 Correct 19 ms 14800 KB Output is correct
40 Correct 20 ms 15180 KB Output is correct
41 Correct 20 ms 15104 KB Output is correct
42 Correct 19 ms 14788 KB Output is correct
43 Correct 21 ms 14780 KB Output is correct
44 Correct 21 ms 14796 KB Output is correct
45 Correct 18 ms 14828 KB Output is correct
46 Correct 19 ms 14796 KB Output is correct
47 Correct 20 ms 14940 KB Output is correct
48 Correct 21 ms 14924 KB Output is correct
49 Correct 35 ms 15308 KB Output is correct
50 Correct 578 ms 19488 KB Output is correct
51 Correct 33 ms 14948 KB Output is correct
52 Correct 559 ms 18208 KB Output is correct
53 Correct 35 ms 15272 KB Output is correct
54 Correct 590 ms 18832 KB Output is correct
55 Correct 20 ms 14992 KB Output is correct
56 Correct 21 ms 14924 KB Output is correct
57 Correct 24 ms 14980 KB Output is correct
58 Correct 21 ms 14972 KB Output is correct
59 Correct 21 ms 15180 KB Output is correct
60 Correct 540 ms 17576 KB Output is correct
61 Correct 22 ms 14912 KB Output is correct
62 Correct 598 ms 19152 KB Output is correct
63 Correct 931 ms 53380 KB Output is correct
64 Correct 949 ms 53852 KB Output is correct
65 Correct 942 ms 54064 KB Output is correct
66 Correct 670 ms 38848 KB Output is correct
67 Correct 808 ms 64252 KB Output is correct
68 Correct 606 ms 38732 KB Output is correct
69 Correct 933 ms 38660 KB Output is correct
70 Correct 609 ms 38780 KB Output is correct
71 Correct 612 ms 38800 KB Output is correct
72 Correct 842 ms 48324 KB Output is correct
73 Correct 850 ms 49980 KB Output is correct
74 Correct 1491 ms 64660 KB Output is correct
75 Correct 1286 ms 43868 KB Output is correct
76 Correct 1186 ms 52540 KB Output is correct
77 Correct 1235 ms 52764 KB Output is correct
78 Correct 527 ms 36548 KB Output is correct
79 Correct 993 ms 43852 KB Output is correct
80 Correct 519 ms 36492 KB Output is correct
81 Correct 991 ms 42316 KB Output is correct
82 Correct 942 ms 47260 KB Output is correct
83 Correct 923 ms 47252 KB Output is correct
84 Correct 841 ms 47424 KB Output is correct
85 Correct 857 ms 47276 KB Output is correct
86 Correct 688 ms 71504 KB Output is correct
87 Correct 926 ms 73796 KB Output is correct
88 Correct 801 ms 49212 KB Output is correct
89 Correct 1216 ms 51700 KB Output is correct