This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//Sylwia Sapkowska
#include <bits/stdc++.h>
#pragma GCC optimize("O3", "unroll-loops")
using namespace std;
void __print(int x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifdef LOCAL
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif
#define int long long
typedef pair<int, int> T;
const int oo = 1e18, oo2 = 1e9+7, K = 30;
const int mod = 998244353;
void solve(){
int n; cin >> n;
vector<vector<int>>g(n+1);
for (int i = 1; i<n; i++){
int a, b; cin >> a >> b;
g[a].emplace_back(b);
g[b].emplace_back(a);
}
int ans = 0;
vector<int>mn(n+1);
function<int(int, int)>dfs = [&](int v, int pa){
int ile = -1;
for (auto x: g[v]){
if (x == pa) continue;
auto now = dfs(x, v);
if (now != -1) {
if (ile != -1){
mn[now] = ile;
mn[ile] = now;
ans += 4;
ile = -1;
} else {
ile = now;
}
}
}
if (ile != -1) {
mn[v] = ile;
mn[ile] = v;
ans += 2;
return -1LL;
}
return v;
};
dfs(1, 1);
if (n&1){
int x = g[1][0];
int y = mn[x];
mn[1] = x;
mn[x] = y;
mn[y] = 1;
ans += 2;
}
cout << ans << " " << 2137 << "\n";
for (int i = 1; i<=n; i++) cout << mn[i] << " ";
cout << "\n";
for (int i = 1; i<=n; i++) cout << 1 << " ";
cout << "\n";
}
int32_t main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t = 1;
// cin >> t;
while (t--) solve();
return 0;
}
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