Submission #654923

# Submission time Handle Problem Language Result Execution time Memory
654923 2022-11-02T01:29:33 Z inksamurai Village (BOI20_village) C++17
100 / 100
221 ms 32672 KB
#include <bits/stdc++.h>
#define int ll
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define vec(...) vector<__VA_ARGS__>
#define _3fm6nhZ ios::sync_with_stdio(0),cin.tie(0)
typedef long long ll;
using pii=pair<int,int>;
using vi=vector<int>;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}

#define all(a) a.begin(),a.end()

signed main(){
_3fm6nhZ;
	int n;
	cin>>n;
	vec(vi) adj(n);
	rep(i,n-1){
		int u,v;
		cin>>u>>v;
		u-=1,v-=1;
		adj[u].pb(v);
		adj[v].pb(u);
	}
	int ans=0;
	vi ert(n);
	auto dfs=[&](auto self,int v,int par)->int{
		vi rbts;
		for(auto u:adj[v]){
			if(u==par) continue;
			int e=self(self,u,v);
			if(e) rbts.pb(u);
		}
		if(sz(rbts)==0) return 1;
		for(int i=0;i<sz(rbts)-sz(rbts)%2;i+=2){
			ert[rbts[i]]=rbts[i+1];
			ert[rbts[i+1]]=rbts[i];
			ans+=4;
		}
		if(sz(rbts)%2){
			ert[v]=rbts.back();
			ert[rbts.back()]=v;
			ans+=2;
		}else{
			ert[v]=rbts.back();
			ert[ert[rbts.back()]]=v;
		}
		return 0;
	};
	int e=dfs(dfs,0,-1);
	if(e){
		int v=0;
		int u=adj[0][0];
		ans+=2;
		rep(s,n){
			if(ert[s]==u){
				ert[v]=u;
				ert[s]=0;
				break;
			}
		}
	}
	int ans1=0;
	vi chs(n);
	auto pre_rfs=[&](auto self,int v,int par)->void{
		chs[v]=1;
		for(auto u:adj[v]){
			if(u==par) continue;
			self(self,u,v);
			chs[v]+=chs[u];
			ans1+=2*min(chs[u],n-chs[u]);
		}
	};
	pre_rfs(pre_rfs,0,-1);
	auto rfs=[&](auto self,int v,int par)->int{
		for(auto u:adj[v]){
			if(u==par) continue;
			if(2*chs[u]>=n){
				return self(self,u,v);
			}
		}
		return v;
	};
	int rt=rfs(rfs,0,-1);
	chs=vi(n,0);
	ans1=0;
	pre_rfs(pre_rfs,rt,-1);
	vi way;
	auto add=[&](auto self,int v,int par)->void{
		way.pb(v);
		for(auto u:adj[v]){
			if(u==par) continue;
			self(self,u,v);
		}
	};
	sort(all(adj[rt]),[&](int l,int r){
		return chs[l]<chs[r];
	});
	set<pii> st;
	vec(vi) rbts;
	rep(i,sz(adj[rt])){
		int u=adj[rt][i];
		way.clear();
		add(add,u,rt);
		for(auto x:way)st.insert(pii(i,x));
		rbts.pb(way);
	}
	st.insert(pii(-1,rt));
	vi usd(n);
	vi ert1(n);
	auto ask=[&](auto self,int v,int par)->void{
		assert(sz(st));
		auto it=st.begin();
		// print((*it).se);
		ert1[(*it).se]=v;
		usd[(*it).se]=1;
		st.erase(it);
		for(auto u:adj[v]){
			if(u==par) continue;
			self(self,u,v);
		}
	};
	per(i,sz(adj[rt])){
		for(auto v:rbts[i]){
			if(!usd[v]){
				// print(st.find(pii(i,v))!=st.end());
				st.erase(st.find(pii(i,v)));
			}
		}
		int u=adj[rt][i];
		ask(ask,u,rt);
		for(auto v:rbts[i]){
			if(!usd[v]){
				st.insert(pii(i,v));
			}
		}
	}
	assert(sz(st));
	ert1[(*st.begin()).se]=rt;
	cout<<ans<<" "<<ans1<<"\n";
	rep(i,n){
		cout<<ert[i]+1<<" ";
	}
	print();
	rep(i,n){
		cout<<ert1[i]+1<<" ";
	}
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 312 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 468 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 1 ms 468 KB Output is correct
7 Correct 1 ms 596 KB Output is correct
8 Correct 1 ms 468 KB Output is correct
9 Correct 1 ms 468 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 468 KB Output is correct
14 Correct 1 ms 512 KB Output is correct
15 Correct 1 ms 468 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 468 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 468 KB Output is correct
20 Correct 1 ms 468 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 2 ms 468 KB Output is correct
24 Correct 1 ms 468 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 1 ms 468 KB Output is correct
30 Correct 1 ms 468 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 312 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 468 KB Output is correct
22 Correct 1 ms 468 KB Output is correct
23 Correct 1 ms 468 KB Output is correct
24 Correct 1 ms 596 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 1 ms 468 KB Output is correct
28 Correct 1 ms 468 KB Output is correct
29 Correct 2 ms 468 KB Output is correct
30 Correct 1 ms 468 KB Output is correct
31 Correct 1 ms 512 KB Output is correct
32 Correct 1 ms 468 KB Output is correct
33 Correct 1 ms 468 KB Output is correct
34 Correct 1 ms 468 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 1 ms 468 KB Output is correct
37 Correct 1 ms 468 KB Output is correct
38 Correct 1 ms 468 KB Output is correct
39 Correct 1 ms 468 KB Output is correct
40 Correct 2 ms 468 KB Output is correct
41 Correct 1 ms 468 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 468 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 468 KB Output is correct
47 Correct 1 ms 468 KB Output is correct
48 Correct 159 ms 16520 KB Output is correct
49 Correct 146 ms 18132 KB Output is correct
50 Correct 164 ms 18104 KB Output is correct
51 Correct 104 ms 14160 KB Output is correct
52 Correct 136 ms 17696 KB Output is correct
53 Correct 159 ms 16124 KB Output is correct
54 Correct 66 ms 15992 KB Output is correct
55 Correct 219 ms 32672 KB Output is correct
56 Correct 168 ms 25160 KB Output is correct
57 Correct 213 ms 22712 KB Output is correct
58 Correct 160 ms 20592 KB Output is correct
59 Correct 180 ms 18536 KB Output is correct
60 Correct 93 ms 22572 KB Output is correct
61 Correct 148 ms 19008 KB Output is correct
62 Correct 120 ms 18484 KB Output is correct
63 Correct 163 ms 17336 KB Output is correct
64 Correct 123 ms 18376 KB Output is correct
65 Correct 147 ms 18668 KB Output is correct
66 Correct 125 ms 17388 KB Output is correct
67 Correct 81 ms 14152 KB Output is correct
68 Correct 136 ms 15668 KB Output is correct
69 Correct 134 ms 18608 KB Output is correct
70 Correct 128 ms 17388 KB Output is correct
71 Correct 75 ms 13008 KB Output is correct
72 Correct 100 ms 14692 KB Output is correct
73 Correct 127 ms 18620 KB Output is correct
74 Correct 109 ms 16992 KB Output is correct
75 Correct 201 ms 18508 KB Output is correct
76 Correct 151 ms 17944 KB Output is correct
77 Correct 142 ms 17664 KB Output is correct
78 Correct 73 ms 12288 KB Output is correct
79 Correct 89 ms 14172 KB Output is correct
80 Correct 221 ms 18616 KB Output is correct
81 Correct 114 ms 17636 KB Output is correct
82 Correct 147 ms 17964 KB Output is correct