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;
vi sum;
V<bool> vis;
vi org;
ll n;
// Dist, Node
V<queue<pi>> pqs;
void calcOrg(int x, int p, int orgP) {
org[x] = orgP;
for (auto y : g[x]) {
if (y == p) continue;
calcOrg(y,x,orgP == -1 ? x : orgP);
}
}
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);
}
}
void sumDfs(int x, int p) {
sum[x] = 1;
for (auto y : g[x]) {
if (y == p) continue;
sumDfs(y,x);
sum[x] += sum[y];
}
}
int findCentroid(int x, int p) {
for (auto v : g[x]) {
if (v == p) continue;
if (sum[v] * 2 > n)
return findCentroid(v,x);
}
return x;
}
void genPQS(int x, int p) {
queue<tuple<int,int,int>> nodes;
nodes.emplace(x, 1, p);
pqs[x].emplace(x, 1);
while (!nodes.empty()) {
auto [cur, dist, par] = nodes.front(); nodes.pop();
for (auto y : g[cur]) {
if (y == par) continue;
nodes.emplace(y, dist + 1, cur);
pqs[x].emplace(y, dist + 1);
}
}
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(nullptr);
cin >> n;
g.resize(n + 1);
to.resize(n + 1);
vis.resize(n + 1);
dist.resize(n + 1);
org.resize(n + 1);
sum.resize(n + 1);
pqs.resize(n + 1);
F0R(i, n - 1) {
ll a, b; cin >> a >> b;
g[a].pb(b);
g[b].pb(a);
}
FOR(i, 1, n + 1) sum[i]++;
sumDfs(1,-1);
int cen = findCentroid(1,-1);
sumDfs(cen,-1);
int root = cen;
ll sumV = 0;
int last = -1;
for (auto x : g[cen]) {
genPQS(x, cen);
}
while (true) {
int meow = -1;
for (auto x : g[cen]) {
if (x == last) continue;
if (meow == -1 || (sum[x] > sum[meow])) meow = x;
}
if (meow == -1) meow = last;
last = meow;
sum[last]--;
if (pqs[meow].empty()) break;
auto [sel, distToCen] = pqs[meow].front(); pqs[meow].pop();
to[root] = sel;
root = sel;
sumV += distToCen * 2;
}
cout << sumV << " " << sumV << "\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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