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 int long long
using namespace std;
int n, dp[100100], vln[100100], vlx[100100], ansn, ansx, cen, depth[100100];
vector<int> vc[100100], ans;
void dfs(int u, int pa){
for(auto v:vc[u]){
if(v == pa) continue;
dfs(v, u);
if(vln[v] == v){
ansn+=2;
swap(vln[v], vln[u]);
}
dp[u]+=dp[v];
}
}
void dfs2(int u, int pa){
ans.emplace_back(u);
for(auto v:vc[u]){
if(v == pa) continue;
depth[v] = depth[u] + 1;
dfs2(v, u);
}
}
int centroid(int u, int pa){
for(auto v:vc[u]){
if(v == pa) continue;
if(dp[v] > n / 2) return centroid(v, u);
}
return u;
}
int32_t main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n;
for(int i = 1; i<=n; ++i) vln[i] = i;
for(int i = 1; i<=n; ++i) dp[i] = 1;
for(int i = 1; i<n; ++i){
int a, b; cin >> a >> b;
vc[a].push_back(b);
vc[b].push_back(a);
}
dfs(1, -1);
if(vln[1] == 1){
ansn+=2;
swap(vln[1], vln[vc[1][0]]);
}
cen = centroid(1, -1);
dfs2(cen, -1);
for(int i = 1; i<=n; ++i) ansx+=depth[i]*2;
cout << ansn << ' ' << ansx << '\n';
for(int i = 0; i<n; ++i) vlx[ans[(i+n/2)%n]] = ans[i];
for(int i = 1; i<=n; ++i) cout << vln[i] << ' ';
cout << '\n';
for(int i = 1; i<=n; ++i) cout << vlx[i] << ' ';
}
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