This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
vector<vector<int>> gra;
vector<int> posmin, posmax, sz, dec1, dec2;
vector<bool> used;
int ansmin = 0, ansmax = 0, n, cnt = 0;
void dfs(int x, int p){
sz[x] = 1;
for(auto i : gra[x]){
if(i == p)continue;
dfs(i,x);
sz[x]+=sz[i];
if(used[i])continue;
used[x] = true;
swap(posmin[x],posmin[i]);
ansmin += 2;
}
if(x)ansmax += min(sz[x], n-sz[x])*2;
else if(!used[0]){
swap(posmin[0], posmin[gra[0][0]]);
ansmin+=2;
}
}
void findroot(int x, int p){
for(auto i : gra[x]){
if(i == p)continue;
if(sz[i] > n/2){
dec1[i] = 0;
dec2[0] = i;
findroot(i,x);
}
}
}
void encode(int x, int p){
dec1[cnt] = x;
dec2[x] = cnt++;
for(auto i : gra[x]){
if(i == p)continue;
encode(i,x);
}
}
int main(){
ios_base::sync_with_stdio(0),cin.tie(0);
cin >> n;
gra.resize(n);
posmin.resize(n);
posmax.resize(n);
dec1.resize(n);
dec2.resize(n);
sz.resize(n);
used.resize(n,false);
iota(posmin.begin(), posmin.end(), 0);
iota(posmax.begin(), posmax.end(), 0);
for(int i = 0; i < n-1; ++i){
int a, b; cin >> a >> b; a--; b--;
gra[a].push_back(b);
gra[b].push_back(a);
}
dfs(0,0);
findroot(0,0);
encode(dec1[0],dec1[0]);
for(int i = 0; i < n; ++i){
posmax[i] = dec1[(dec2[i]+n/2)%n];
}
cout << ansmin << " " << ansmax << "\n";
for(auto x : posmin)cout << x+1 << " ";
cout << "\n";
for(auto x : posmax)cout << x+1 << " ";
cout << "\n";
}
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