#include<bits/stdc++.h>
#define pb push_back
#define mp make_pair
#define int long long
#define vi vector<int>
#define vvi vector<vector<int>>
#define pii pair<int, int>
#define vpii vector<pair<int, int>>
#define vc vector<char>
#define vb vector<bool>
#define mii map<int,int>
#define f0r(i,n) for(int i=0;i<n;i++)
#define FOR(i,k,n) for(int i=k;i<n;i++)
#define all(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()
#define in(a) int a; cin>>a
#define in2(a,b) int a,b; cin>>a>>b
#define in3(a,b,c) int a,b,c; cin>>a>>b>>c
#define in4(a,b,c,d) int a,b,c,d; cin>>a>>b>>c>>d
#define vin(v,n); vi v(n); f0r(i,n){cin>>v[i];}
#define out(a) cout<<a<<'\n'
#define out2(a,b) cout<<a<<' '<<b<<'\n'
#define out3(a,b,c) cout<<a<<' '<<b<<' '<<c<<'\n'
#define out4(a,b,c,d) cout<<a<<' '<<b<<' '<<c<<' '<<d<<'\n'
#define pout(a) cout<<a.first<<' '<<a.second<<'\n'
#define vout(v) for(auto u : v){cout<<u<<' ';} cout<<endl
#define dout(a) cout<<a<<' '<<#a<<endl
#define dout2(a,b) cout<<a<<' '<<#a<<' '<<b<<' '<<#b<<endl
#define yn(x); if(x){cout<<"YES"<<'\n';}else{cout<<"NO"<<'\n';}
const int leg = 1e9 + 7;
const int mod = 998244353;
using namespace std;
const int mxn = 1e5 + 5;
const int lg = floor(log2(mxn)) + 1;
vvi adj(mxn); vi par(mxn), dep(mxn); vb vis(mxn);
vi ans(mxn);
vvi jmp(mxn, vi(lg));
void dfs(int node, int from){
par[node] = from;
for(auto u : adj[node]){
if(u != from){
dep[u] = 1 + dep[node];
dfs(u, node);
}
}
}
int dist(int a, int b){
int ret = 0;
if(dep[a] > dep[b])swap(a,b);
int dif = dep[b] - dep[a];
f0r(i, lg){
if((1LL << i) & dif){
b = jmp[b][i];
}
}
ret = dif;
if(a == b)return ret;
for(int i = lg - 1; i>=0; i--){
if(jmp[a][i] != jmp[b][i]){
ret += (1LL << (i + 1));
a = jmp[a][i]; b = jmp[b][i];
}
}
return ret + 2;
}
int N;
void solve(int node, int from){
// dout(node);
for(auto u : adj[node]){
if(u != from)solve(u, node);
}
vi tmp;
for(auto u : adj[node]){
if(u != from){
if(ans[u] == -1){
tmp.pb(u);
}
}
}
// vout(tmp);
if(tmp.size() % 2 == 1){
ans[tmp[0]] = node;
ans[node] = tmp[0];
for(int i = 1; i<tmp.size(); i+=2){
ans[tmp[i]] = tmp[i+1];
ans[tmp[i+1]] = tmp[i];
}
}
else if(tmp.size() >= 2){
if(true){
ans[node] = tmp[0]; ans[tmp[0]] = tmp[1]; ans[tmp[1]] = node;
for(int i = 2; i<tmp.size(); i+=2){
ans[tmp[i]] = tmp[i+1];
ans[tmp[i+1]] = tmp[i];
}
}
else{
for(int i = 0; i<tmp.size(); i+=2){
ans[tmp[i]] = tmp[i+1];
ans[tmp[i+1]] = tmp[i];
}
}
}
else if(node == 0){
int a = adj[node][0];
int b = ans[a];
ans[0] = a;
ans[a] = b;
ans[b] = 0;
}
// f0r(i,N)cout<<ans[i] + 1<<' ';
// cout<<'\n';
}
signed main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
//ifstream cin(".in");
//ofstream cout(".out");
in(n); N = n;
f0r(i, n-1){
in2(a,b); a--; b--;
adj[a].pb(b); adj[b].pb(a);
}
dfs(0, -1);
f0r(i,n){
jmp[i][0] = par[i];
}
FOR(i, 1, lg){
f0r(j,n){
if(jmp[j][i-1] == -1)jmp[j][i] = -1;
else jmp[j][i] = jmp[jmp[j][i-1]][i-1];
}
}
if(n<=10){
vi perm;
f0r(i,n){
perm.pb(i);
}
vi mxv, mnv;
int mx = -4e18; int mn = 4e18;
do{
bool ok = 1;
f0r(i,n){
if(i == perm[i])ok = 0;
}
if(!ok)continue;
int sum = 0;
f0r(i,n){
sum += dist(i, perm[i]);
}
if(sum < mn){
mn = sum; mnv = perm;
}
if(sum > mx){
mx = sum; mxv = perm;
}
}while(next_permutation(all(perm)));
out2(mn, mx);
f0r(i,n){
cout<<mnv[i]+1<<' ';
}
cout<<'\n';
f0r(i,n){
cout<<mxv[i]+1<<' ';
}
}
else{
// dout("HERE");
f0r(i,n)ans[i] = -1;
solve(0, -1);
// f0r(i,n)cout<<ans[i] + 1<<' ';
// cout<<'\n';
int mn = 0;
f0r(i, n){
mn += dist(i, ans[i]);
}
out2(mn, 0);
f0r(i,n)cout<<ans[i] + 1<<' ';
cout<<'\n';
f0r(i,n)cout<<0<<' ';
}
}
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |