Submission #386975

# Submission time Handle Problem Language Result Execution time Memory
386975 2021-04-07T17:52:18 Z ogibogi2004 Meetings 2 (JOI21_meetings2) C++14
100 / 100
2669 ms 25716 KB
#include<bits/stdc++.h>
using namespace std;
const int MAXN=2e5+6;
vector<int>g[MAXN];
bool used[MAXN];
int ans[MAXN];
int n;
int subtree[MAXN];
int max1=1;
int dfs(int u,int p)
{
	int val=1;
	for(auto xd:g[u])
	{
		if(xd==p)continue;
		int t=dfs(xd,u);
		max1=max(max1,2*min(t,n-t));
		val+=t;
	}
	return val;
}
void dfs1(int u,int p)
{
	subtree[u]=1;
	for(auto xd:g[u])
	{
		if(xd==p)continue;
		if(used[xd])continue;
		dfs1(xd,u);
		subtree[u]+=subtree[xd];
	}
}
int find_centroid(int u,int p,int n1)
{
	for(auto xd:g[u])
	{
		if(xd==p)continue;
		if(used[xd])continue;
		if(subtree[xd]>n1/2)
		{
			return find_centroid(xd,u,n1);
		}
	}
	return u;
}
struct BIT
{
	int fen[2*MAXN];
	void update(int idx,int val)
	{
		idx++;
		for(;idx<2*MAXN;idx+=idx&(-idx))
		{
			fen[idx]=max(fen[idx],val);
		}
	}
	void wipe(int idx)
	{
		idx++;
		for(;idx<2*MAXN;idx+=idx&(-idx))
		{
			fen[idx]=0;
		}
	}
	int query(int idx)
	{
		idx++;
		int ret=0;
		for(;idx>0;idx-=idx&(-idx))
		{
			ret=max(ret,fen[idx]);
		}
		return ret;
	}
}fen;
void dfs_query(int u,int p,int l)
{
	int t=subtree[u];
	//cout<<"query "<<u<<" "<<t<<" "<<l<<endl;
	//cout<<l+fen.query(MAXN-t)+1<<endl;
	ans[2*t]=max(ans[2*t],l+fen.query(MAXN-t)+1);
	for(auto xd:g[u])
	{
		if(xd==p)continue;
		if(used[xd])continue;
		dfs_query(xd,u,l+1);
	}
}
void dfs_update(int u,int p,int l)
{
	int t=subtree[u];
	fen.update(MAXN-t,l);
	//cout<<"update "<<u<<" "<<t<<" "<<l<<endl;
	for(auto xd:g[u])
	{
		if(xd==p)continue;
		if(used[xd])continue;
		dfs_update(xd,u,l+1);
	}
}
void dfs_wipe(int u,int p)
{
	int t=subtree[u];
	fen.wipe(MAXN-t);
	for(auto xd:g[u])
	{
		if(xd==p)continue;
		if(used[xd])continue;
		dfs_wipe(xd,u);
	}
}
void decompose(int u)
{
	dfs1(u,0);
	int c=find_centroid(u,0,subtree[u]);
	//cout<<"  "<<c<<endl;
	dfs1(c,0);
	used[c]=1;
	for(auto xd:g[c])
	{
		if(used[xd])continue;
		dfs_query(xd,c,1);
		dfs_update(xd,c,1);
	}
	for(auto xd:g[c])
	{
		if(used[xd])continue;
		dfs_wipe(xd,c);
	}
	//cout<<"-------------\n";
	reverse(g[c].begin(),g[c].end());
	for(auto xd:g[c])
	{
		if(used[xd])continue;
		dfs_query(xd,c,1);
		dfs_update(xd,c,1);
	}
	for(auto xd:g[c])
	{
		if(used[xd])continue;
		dfs_wipe(xd,c);
	}
	for(auto xd:g[c])
	{
		if(used[xd]==0)
		{
			decompose(xd);
		}
	}
}
int main()
{
	cin>>n;
	for(int i=1;i<n;i++)
	{
		int a,b;
		cin>>a>>b;
		g[a].push_back(b);
		g[b].push_back(a);
	}
	for(int i=1;i<=n;i++)
	{
		ans[i]=1;
	}
	dfs(1,0);
	for(int i=2;i<=max1;i+=2)
	{
		ans[i]=2;
	}
	decompose(1);
	for(int i=n;i>=3;i--)
	{
		ans[i-2]=max(ans[i-2],ans[i]);
	}
	for(int i=1;i<=n;i++)
	{
		cout<<ans[i]<<endl;
	}
return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4972 KB Output is correct
2 Correct 5 ms 5100 KB Output is correct
3 Correct 4 ms 5100 KB Output is correct
4 Correct 4 ms 5100 KB Output is correct
5 Correct 6 ms 5100 KB Output is correct
6 Correct 4 ms 5100 KB Output is correct
7 Correct 4 ms 5100 KB Output is correct
8 Correct 4 ms 5100 KB Output is correct
9 Correct 4 ms 5100 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 4 ms 5100 KB Output is correct
12 Correct 4 ms 5100 KB Output is correct
13 Correct 5 ms 5100 KB Output is correct
14 Correct 4 ms 5100 KB Output is correct
15 Correct 4 ms 5100 KB Output is correct
16 Correct 4 ms 5100 KB Output is correct
17 Correct 4 ms 5100 KB Output is correct
18 Correct 4 ms 5100 KB Output is correct
19 Correct 4 ms 5100 KB Output is correct
20 Correct 4 ms 5100 KB Output is correct
21 Correct 4 ms 5100 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4972 KB Output is correct
2 Correct 5 ms 5100 KB Output is correct
3 Correct 4 ms 5100 KB Output is correct
4 Correct 4 ms 5100 KB Output is correct
5 Correct 6 ms 5100 KB Output is correct
6 Correct 4 ms 5100 KB Output is correct
7 Correct 4 ms 5100 KB Output is correct
8 Correct 4 ms 5100 KB Output is correct
9 Correct 4 ms 5100 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 4 ms 5100 KB Output is correct
12 Correct 4 ms 5100 KB Output is correct
13 Correct 5 ms 5100 KB Output is correct
14 Correct 4 ms 5100 KB Output is correct
15 Correct 4 ms 5100 KB Output is correct
16 Correct 4 ms 5100 KB Output is correct
17 Correct 4 ms 5100 KB Output is correct
18 Correct 4 ms 5100 KB Output is correct
19 Correct 4 ms 5100 KB Output is correct
20 Correct 4 ms 5100 KB Output is correct
21 Correct 4 ms 5100 KB Output is correct
22 Correct 22 ms 5228 KB Output is correct
23 Correct 22 ms 5248 KB Output is correct
24 Correct 21 ms 5228 KB Output is correct
25 Correct 21 ms 5228 KB Output is correct
26 Correct 21 ms 5228 KB Output is correct
27 Correct 21 ms 5228 KB Output is correct
28 Correct 21 ms 5356 KB Output is correct
29 Correct 21 ms 5376 KB Output is correct
30 Correct 22 ms 5356 KB Output is correct
31 Correct 21 ms 5228 KB Output is correct
32 Correct 26 ms 5356 KB Output is correct
33 Correct 25 ms 5484 KB Output is correct
34 Correct 17 ms 5328 KB Output is correct
35 Correct 19 ms 5228 KB Output is correct
36 Correct 21 ms 5356 KB Output is correct
37 Correct 17 ms 5228 KB Output is correct
38 Correct 20 ms 5356 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 4972 KB Output is correct
2 Correct 5 ms 5100 KB Output is correct
3 Correct 4 ms 5100 KB Output is correct
4 Correct 4 ms 5100 KB Output is correct
5 Correct 6 ms 5100 KB Output is correct
6 Correct 4 ms 5100 KB Output is correct
7 Correct 4 ms 5100 KB Output is correct
8 Correct 4 ms 5100 KB Output is correct
9 Correct 4 ms 5100 KB Output is correct
10 Correct 4 ms 5100 KB Output is correct
11 Correct 4 ms 5100 KB Output is correct
12 Correct 4 ms 5100 KB Output is correct
13 Correct 5 ms 5100 KB Output is correct
14 Correct 4 ms 5100 KB Output is correct
15 Correct 4 ms 5100 KB Output is correct
16 Correct 4 ms 5100 KB Output is correct
17 Correct 4 ms 5100 KB Output is correct
18 Correct 4 ms 5100 KB Output is correct
19 Correct 4 ms 5100 KB Output is correct
20 Correct 4 ms 5100 KB Output is correct
21 Correct 4 ms 5100 KB Output is correct
22 Correct 22 ms 5228 KB Output is correct
23 Correct 22 ms 5248 KB Output is correct
24 Correct 21 ms 5228 KB Output is correct
25 Correct 21 ms 5228 KB Output is correct
26 Correct 21 ms 5228 KB Output is correct
27 Correct 21 ms 5228 KB Output is correct
28 Correct 21 ms 5356 KB Output is correct
29 Correct 21 ms 5376 KB Output is correct
30 Correct 22 ms 5356 KB Output is correct
31 Correct 21 ms 5228 KB Output is correct
32 Correct 26 ms 5356 KB Output is correct
33 Correct 25 ms 5484 KB Output is correct
34 Correct 17 ms 5328 KB Output is correct
35 Correct 19 ms 5228 KB Output is correct
36 Correct 21 ms 5356 KB Output is correct
37 Correct 17 ms 5228 KB Output is correct
38 Correct 20 ms 5356 KB Output is correct
39 Correct 1844 ms 16236 KB Output is correct
40 Correct 1739 ms 15960 KB Output is correct
41 Correct 1817 ms 16236 KB Output is correct
42 Correct 1722 ms 16492 KB Output is correct
43 Correct 1832 ms 16460 KB Output is correct
44 Correct 1771 ms 16492 KB Output is correct
45 Correct 2669 ms 21740 KB Output is correct
46 Correct 2037 ms 25716 KB Output is correct
47 Correct 841 ms 16700 KB Output is correct
48 Correct 733 ms 16864 KB Output is correct
49 Correct 1601 ms 17388 KB Output is correct
50 Correct 809 ms 16868 KB Output is correct
51 Correct 1355 ms 24368 KB Output is correct