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"
using namespace std;
using ll = long long;
template<typename T>
using V = vector<T>;
using vi = V<ll>;
using vvi = V<vi>;
using pi = pair<ll,ll>;
using vpi = V<pi>;
#define F0R(i, n) for(ll i = 0; i < n;i++)
#define FOR(i,a, n) for(ll i = a; i < n;i++)
#define pb push_back
vvi g;
vi to;
vi dist;
void calc(ll x, ll p, ll d = 0) {
dist[x] = d;
for (auto y : g[x]) {
if (y == p) continue;
calc(y,x, d + 1);
}
}
int solve(int start, ll n) {
ll root = start;
ll sum = 0;
V<bool> vis(n + 1);
while (true) {
calc(root, -1, 0);
ll sel = -1;
FOR(i,1,n + 1) {
if (vis[i]) continue;
if (sel == -1 || dist[i] > dist[sel]) sel = i;
}
if (sel == -1) break;
to[root] = sel;
vis[root] = true;
root = sel;
sum += dist[sel];
}
calc(root, -1, 0);
to[root] = start;
sum += dist[start];
return sum;
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(nullptr);
ll n; cin >> n;
g.resize(n + 1);
to.resize(n + 1);
dist.resize(n + 1);
F0R(i, n - 1) {
ll a, b; cin >> a >> b;
g[a].pb(b);
g[b].pb(a);
}
ll bestRoot = 1, bestSum = 0;
FOR(i,1, n + 1) {
int y = solve(i, n);
if (y > bestSum) {
bestSum = y;
bestRoot = i;
}
}
int sum = solve(bestRoot,n);
cout << sum << " " << sum << "\n";
FOR(i, 1, n + 1) {
cout << to[i] << " ";
}
cout << "\n";
FOR(i, 1, n + 1) {
cout << to[i] << " ";
}
return 0;
}
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