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 sz(x) ((int)x.size())
#define PB push_back
#define i2 array<int,2>
using namespace std;
typedef long long ll;
const int N = 100100;
const int oo = 2e9;
set<i2> setik, oth;
vector<int> g[N], vc;
int n, siz[N], cen, who_kto[N], mrk[N];
ll ans, ANS;
void dfs(int v, int p){
for (int u : g[v]){
if (u == p) continue;
dfs(u, v);
if (mrk[u] < 0){
ANS += 2;
if (mrk[v] < 0){
mrk[v] = u;
mrk[u] = v;
} else {
mrk[u] = mrk[v];
mrk[v] = u;
}
}
}
}
void build_sz(int v, int p){
siz[v] = 1;
for (int u : g[v]){
if (u == p) continue;
build_sz(u, v);
siz[v] += siz[u];
ans += min(siz[u], n - siz[u]);
}
}
int search(int v, int p, int SZ){
for (int u : g[v])
if (u != p && siz[u] > SZ / 2)
return search(u, v, SZ);
return v;
}
void add(int v, int p){
vc.PB(v);
for (int u : g[v]){
if (u == p) continue;
add(u, v);
}
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef _LOCAL
freopen("in.txt","r",stdin);
#endif // _LOCAL
cin >> n;
for (int i = 1; i < n; i++){
int x, y; cin >> x >> y;
x--; y--;
g[x].PB(y);
g[y].PB(x);
}
fill(mrk, mrk + n, -1);
dfs(0, -1);
if (mrk[0] < 0) {
ans += 2;
mrk[0] = mrk[g[0][0]];
mrk[g[0][0]] = 0;
}
build_sz(0, -1);
cout << ans * 2 << " " << ANS << '\n';
for (int i = 0; i < n; i++)
who_kto[mrk[i]] = i;
for (int i = 0; i < n; i++)
cout << who_kto[i] + 1 << " ";
cout << '\n';
cen = search(0, -1, siz[0]);
for (int u : g[cen])
add(u, cen);
vc.PB(cen);
for (int i = 0; i < n; i++)
who_kto[vc[i]] = vc[(i + n / 2) % n];
for (int i = 0; i < n; i++)
cout << who_kto[i] + 1 << " ";
return 0;
}
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