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Submission #802151

# Submission time Handle Problem Language Result Execution time Memory
802151 2023-08-02T10:28:06 Z amirhoseinfar1385 Village (BOI20_village) C++17
100 / 100
 72 ms 23336 KB 
#include<bits/stdc++.h>
using namespace std;
const int maxn=100000+10;
vector<int>adj[maxn];
int n,m,sz[maxn],linkmin[maxn],linkmax[maxn];
vector<vector<int>>allk;
long long res=0;

void dfs(int u,int par=0)
{
	sz[u]=1;
	for(auto x:adj[u]){
		if(x!=par){
			dfs(x,u);
			sz[u]+=sz[x];
		}
	}
}

int findcen(int u,int ted,int par=0){
	//cout<<u<<" "<<ted<<" "<<par<<" "<<sz[u]<<endl;
	for(auto x:adj[u]){
		if(x!=par&&sz[x]*2>=ted){
			return findcen(x,ted,u);
		}
	}
	//cout<<u<<endl;
	return u;
}

int finds(){
	dfs(1);
	//cout<<"salam"<<endl;
	return findcen(1,sz[1]);
}

int solve(int u,int rishe,int par=0){
	if(u!=rishe){
		allk.back().push_back(u);
	}
	int ret=1;
	for(auto x:adj[u]){
		if(x!=par){
			if(u==rishe){
				allk.push_back({});
			}
			int z=solve(x,rishe,u);
			res+=2*z;
			ret+=z;
		}
	}
	return ret;
}

long long res2=0;

int solve2(int u,int par=0){
	vector<int>v;
	v.push_back(u);
	for(auto x:adj[u]){
		if(x!=par){
			if(solve2(x,u)==1){
				v.push_back(x);
			}
		}
	}
	if((int)v.size()==1){
		return 1;
	}
	int sz=(int)v.size();
	res2+=sz*2-2;
	for(int j=0;j<sz;j++){
		linkmin[v[j]]=v[(j+1)%sz];
	}
	return 0;
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin>>n;
	for(int i=0;i<n-1;i++){
		int u,v;
		cin>>u>>v;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}
	int r=finds();
	//cout<<"salam"<<endl;
	solve(r,r);
	int f=solve2(1);
	if(f==1){
		int wtf=adj[1][0];
		for(int j=1;j<=n;j++){
			if(linkmin[j]==wtf){
				wtf=j;
				break;
			}
		}
		linkmin[wtf]=1;
		linkmin[1]=adj[1][0];
		res2+=2;
	}
	cout<<res2<<" "<<res<<"\n";
	for(int i=1;i<=n;i++){
		cout<<linkmin[i]<<" ";
	}
	cout<<"\n";
	set<pair<int,int>>st;
	for(int i=0;i<(int)allk.size();i++){
		st.insert(make_pair((int)allk[i].size(),i));
	}
	//cout<<"salam"<<endl;
	while((int)st.size()>1){
		auto x=*st.rbegin();
		st.erase(x);
		auto y=*st.rbegin();
		st.erase(y);
		linkmax[allk[y.second].back()]=allk[x.second].back();
		linkmax[allk[x.second].back()]=allk[y.second].back();
		allk[x.second].pop_back();
		allk[y.second].pop_back();
		x.first--;
		y.first--;
		if(x.first>0){
			st.insert(x);
		}
		if(y.first>0){
			st.insert(y);
		}
	}
	if((int)st.size()>0){
		auto x=*st.rbegin();
		int z=allk[x.second].back();
		linkmax[z]=r;
		linkmax[r]=z;
	}
	else{
		if(r!=1){
			linkmax[r]=1;
			linkmax[linkmax[1]]=r;
		}
		else{
			linkmax[r]=2;
			linkmax[linkmax[2]]=r;
		}
	}
	for(int i=1;i<=n;i++){
		cout<<linkmax[i]<<" ";
	}
	cout<<"\n";
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2676 KB Output is correct
4 Correct 3 ms 2680 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 2 ms 2672 KB Output is correct
9 Correct 1 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 1 ms 2644 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 1 ms 2644 KB Output is correct
15 Correct 1 ms 2644 KB Output is correct
16 Correct 1 ms 2644 KB Output is correct
17 Correct 1 ms 2644 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2680 KB Output is correct
7 Correct 2 ms 2808 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2680 KB Output is correct
10 Correct 2 ms 2772 KB Output is correct
11 Correct 2 ms 2772 KB Output is correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 2 ms 2772 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 2 ms 2644 KB Output is correct
16 Correct 2 ms 2680 KB Output is correct
17 Correct 2 ms 2680 KB Output is correct
18 Correct 2 ms 2644 KB Output is correct
19 Correct 3 ms 2772 KB Output is correct
20 Correct 2 ms 2684 KB Output is correct
21 Correct 2 ms 2644 KB Output is correct
22 Correct 2 ms 2644 KB Output is correct
23 Correct 2 ms 2644 KB Output is correct
24 Correct 2 ms 2644 KB Output is correct
25 Correct 2 ms 2644 KB Output is correct
26 Correct 2 ms 2644 KB Output is correct
27 Correct 2 ms 2644 KB Output is correct
28 Correct 2 ms 2680 KB Output is correct
29 Correct 2 ms 2644 KB Output is correct
30 Correct 2 ms 2680 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2676 KB Output is correct
4 Correct 3 ms 2680 KB Output is correct
5 Correct 2 ms 2644 KB Output is correct
6 Correct 2 ms 2644 KB Output is correct
7 Correct 1 ms 2644 KB Output is correct
8 Correct 2 ms 2672 KB Output is correct
9 Correct 1 ms 2644 KB Output is correct
10 Correct 2 ms 2644 KB Output is correct
11 Correct 2 ms 2644 KB Output is correct
12 Correct 1 ms 2644 KB Output is correct
13 Correct 2 ms 2644 KB Output is correct
14 Correct 1 ms 2644 KB Output is correct
15 Correct 1 ms 2644 KB Output is correct
16 Correct 1 ms 2644 KB Output is correct
17 Correct 1 ms 2644 KB Output is correct
18 Correct 1 ms 2644 KB Output is correct
19 Correct 2 ms 2644 KB Output is correct
20 Correct 2 ms 2644 KB Output is correct
21 Correct 2 ms 2644 KB Output is correct
22 Correct 2 ms 2644 KB Output is correct
23 Correct 2 ms 2680 KB Output is correct
24 Correct 2 ms 2808 KB Output is correct
25 Correct 2 ms 2644 KB Output is correct
26 Correct 2 ms 2680 KB Output is correct
27 Correct 2 ms 2772 KB Output is correct
28 Correct 2 ms 2772 KB Output is correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 2 ms 2772 KB Output is correct
31 Correct 2 ms 2644 KB Output is correct
32 Correct 2 ms 2644 KB Output is correct
33 Correct 2 ms 2680 KB Output is correct
34 Correct 2 ms 2680 KB Output is correct
35 Correct 2 ms 2644 KB Output is correct
36 Correct 3 ms 2772 KB Output is correct
37 Correct 2 ms 2684 KB Output is correct
38 Correct 2 ms 2644 KB Output is correct
39 Correct 2 ms 2644 KB Output is correct
40 Correct 2 ms 2644 KB Output is correct
41 Correct 2 ms 2644 KB Output is correct
42 Correct 2 ms 2644 KB Output is correct
43 Correct 2 ms 2644 KB Output is correct
44 Correct 2 ms 2644 KB Output is correct
45 Correct 2 ms 2680 KB Output is correct
46 Correct 2 ms 2644 KB Output is correct
47 Correct 2 ms 2680 KB Output is correct
48 Correct 52 ms 9300 KB Output is correct
49 Correct 53 ms 9972 KB Output is correct
50 Correct 52 ms 9928 KB Output is correct
51 Correct 40 ms 8396 KB Output is correct
52 Correct 50 ms 9844 KB Output is correct
53 Correct 55 ms 9304 KB Output is correct
54 Correct 33 ms 12492 KB Output is correct
55 Correct 72 ms 23336 KB Output is correct
56 Correct 72 ms 16044 KB Output is correct
57 Correct 63 ms 13900 KB Output is correct
58 Correct 67 ms 11984 KB Output is correct
59 Correct 57 ms 10040 KB Output is correct
60 Correct 61 ms 19740 KB Output is correct
61 Correct 56 ms 12036 KB Output is correct
62 Correct 47 ms 10260 KB Output is correct
63 Correct 44 ms 9912 KB Output is correct
64 Correct 53 ms 10216 KB Output is correct
65 Correct 45 ms 10412 KB Output is correct
66 Correct 45 ms 10140 KB Output is correct
67 Correct 39 ms 9476 KB Output is correct
68 Correct 41 ms 9156 KB Output is correct
69 Correct 49 ms 10440 KB Output is correct
70 Correct 44 ms 9936 KB Output is correct
71 Correct 32 ms 8012 KB Output is correct
72 Correct 36 ms 8692 KB Output is correct
73 Correct 48 ms 10488 KB Output is correct
74 Correct 46 ms 9776 KB Output is correct
75 Correct 50 ms 9712 KB Output is correct
76 Correct 47 ms 9828 KB Output is correct
77 Correct 59 ms 10164 KB Output is correct
78 Correct 32 ms 7628 KB Output is correct
79 Correct 36 ms 8484 KB Output is correct
80 Correct 49 ms 9808 KB Output is correct
81 Correct 46 ms 10060 KB Output is correct
82 Correct 46 ms 10128 KB Output is correct