This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Possible Overdose for this coder
#include <bits/stdc++.h>
#define put(x) cerr << #x << ": " << x << '\n'
#define line() cerr << "**************\n"
//#define F first
//#define S second
//#define mul(x, y) (((x) * (y)) %mod)
//#define bit(i, j) (((i)>>(j)) &1)
//#define left(id) ((id<<1) + 1)
//#define right(id) ((id<<1) + 2)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<pii, int> piii;
const int maxn = 5e5 + 10;
int n;
vector <int> G[maxn];
bool mark[maxn];
int leaves[maxn], num;
void dfs(int v){
mark[v] = 1;
if(G[v].size() == 1)
leaves[v] = 1;
for(int u: G[v]){
if(mark[u])
continue;
dfs(u);
leaves[v] += leaves[u];
}
}
vector <int> s[maxn];
void make(int v, int x){
mark[v] = 1;
if(G[v].size() == 1)
s[x].push_back(v);
for(int u: G[v]){
if(mark[u])
continue;
make(u, x);
}
}
int find(int v){
mark[v] = 1;
for(int u: G[v]){
if(mark[u])
continue;
if(leaves[u] > num /2)
return find(u);
}
return v;
}
int cnt = 0;
void solve(){
dfs(1);
for(int i=1; i<=n; i++) mark[i] = 0;
int V = find(1);
for(int i=1; i<=n; i++) mark[i] = 0;
mark[V] = 1;
for(int u: G[V])
make(u, cnt++);
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
cin >> n;
int u, v;
for(int i=1; i<n; i++){
cin >> u >> v;
G[u].push_back(v), G[v].push_back(u);
}
for(int i=1; i<=n; i++)
if(G[i].size() == 1)
num++;
int res = (num+1) / 2;
solve();
vector <int> ans((2 * res));
int pt = 0;
for(int i=0; i<cnt; i++)
for(int vi: s[i]){
ans[pt] = vi;
pt += 2;
if(pt == (2 * res))
pt = 1;
}
if((!ans.empty()) && ans.back() == 0)
ans.back() = s[1][0];
cout << res << '\n';
for(int i=0; i<(int)ans.size(); i+=2)
cout << ans[i] << ' ' << ans[i+1] << '\n';
}
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