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>
#define speed ios_base::sync_with_stdio(0); cin.tie(0)
#define all(x) (x).begin(),(x).end()
#define F first
#define S second
#pragma GCC optimize("O3")
#pragma GCC target("avx2")
namespace{using namespace std;}
typedef long long ll;
typedef double db;
typedef long double ldb;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const ll MAX=10+10,P=1e9+7;
const ll INF=0x3f3f3f3f,oo=0x3f3f3f3f3f3f3f3f;
const ldb eps=1e-6;
int n;
vector<int> G[MAX];
int dfs(int v,int p,int d,int tar) {
// cout<<v<<" "<<p<<"\n"<<flush;
if (v==tar) return d;
for (int i:G[v]) {
if (i==p) continue;
int rlt=dfs(i,v,d+1,tar);
if (rlt!=-1) return rlt;
}
return -1;
}
int main() {
speed;
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);
}
int perm[11]={0,1,2,3,4,5,6,7,8,9,10};
int ans[11];
int ans2[11];
int maxx=0;
int minn=INF;
do {
for (int i=1;i<=n;i++) {
if (perm[i]==i) goto die;
}
{
// for (int i=1;i<=n;i++) {
// cout<<perm[i]<<" ";
// }
// cout<<"\n"<<flush;
int ttl=0;
for (int i=1;i<=n;i++) {
ttl+=dfs(i,0,0,perm[i]);
}
// cout<<ttl<<" ttl\n"<<flush;
if (ttl>maxx) {
maxx=ttl;
for (int i=1;i<=n;i++) {
ans[i]=perm[i];
}
}
if (ttl<minn) {
minn=ttl;
for (int i=1;i<=n;i++) {
ans2[i]=perm[i];
}
}
}
die:
;
} while (next_permutation(perm+1,perm+n+1));
cout<<minn<<" "<<maxx<<"\n";
for (int i=1;i<=n;i++) {
cout<<ans2[i]<<" ";
}
cout<<"\n";
for (int i=1;i<=n;i++) {
cout<<ans[i]<<" ";
}
cout<<"\n";
return 0;
}
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