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;
typedef long long ll;
const int MX = 5e5 + 5;
int N;
vector<int> g[MX];
int r, sz[MX], pp[MX], minCost = 0;
void dfs(int v, int p) {
for(auto u : g[v]) {
if(u == p) continue;
dfs(u, v);
sz[v] += sz[u];
}
sz[v]++;
int lst = 0;
for(auto u : g[v]) {
if(u == p) continue;
if(sz[u] & 1) {
if(lst) {
minCost += 4;
swap(pp[u], pp[lst]);
lst = 0;
} else {
lst = u;
}
}
}
if(lst) {
minCost += 2;
swap(pp[lst], pp[v]);
}
}
int main() {
cin.tie(0); ios_base::sync_with_stdio(0);
cin >> N;
for(int i = 1; i <= N; i++) pp[i] = i;
for(int i = 0; i < N - 1; i++) {
int u, v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
r = 0;
for(int i = 1; i <= N; i++) {
if(g[i].size() > g[r].size()) r = i;
}
dfs(r, 0);
if(pp[r] == r) {
assert(N & 1);
swap(pp[r], pp[g[r][0]]);
}
cout << minCost << " " << 1 << '\n';
for(int i = 1; i <= N; i++) cout << pp[i] << " ";
cout << '\n';
for(int i = 1; i <= N; i++) cout << 1 << " ";
cout << '\n';
}
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