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 all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
//#define int long long
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
const int mod = 1e9 + 7;
const int LOG = 20;
const int maxn = 1e5 + 5;
int n;
vector<int> graph[maxn];
ll mn=0, mx=0;
vector<int> ansMn(maxn), ansMx(maxn), sub(maxn), euler;
void dfs(int u, int p) {
sub[u] = 1;
euler.push_back(u);
for(int &v : graph[u]) {
if(v == p) continue;
dfs(v, u);
sub[u] += sub[v];
}
mx += min(sub[u], n - sub[u]);
if(u == ansMn[u]) {
mn += 2;
if(p) swap(ansMn[u], ansMn[p]);
else swap(ansMn[u], ansMn[graph[u].back()]);
}
}
signed main() {
ios_base::sync_with_stdio(false);
cout.tie(0); cin.tie(0);
cin >> n;
for(int i=1; i<=n; i++) ansMn[i] = ansMx[i] = i;
for(int i=0; i<n-1; i++) {
int a, b;
cin >> a >> b;
graph[a].push_back(b);
graph[b].push_back(a);
}
dfs(1, 0);
cout << mn << " " << 2 * mx << '\n';
for(int i=0; i<n; i++) ansMx[euler[i]] = euler[(i+n/2)%n];
for(int i=1; i<=n; i++) cout << ansMn[i] << " ";
cout << '\n';
for(int i=1; i<=n; i++) cout << ansMx[i] << " ";
return 0;
}
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