This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// بِسْمِ اللَّهِ الرَّحْمَنِ الرَّحِيمِ
// Written by Ilia Rahbar
// #pragma GCC optimize ("O3,no-stack-protector,unroll-loops,fast-math")
// #pragma GCC target ("abm,bmi,bmi2,tbm,avx2")
#include <bits/stdc++.h>
using namespace std;
#define int int64_t
#define ai(x) array <int, x>
#define F first
#define S second
const int MOD = 1e9 + 7, N = 1e6 + 100;
int q, c, n, u, v, d[N], stc, l, r;
vector <int> g[N], st[N], ans[2];
int ffv(int inx)
{
memset(d, 0, sizeof d);
queue <int> q;
d[inx] = 1;
q.push(inx);
while (q.size())
{
inx = q.front();
q.pop();
for (auto i : g[inx])
{
if (!d[i])
{
d[i] = d[inx] + 1;
q.push(i);
}
}
}
return inx;
}
void dfs(int inx)
{
if (g[inx].size() == 1)
st[stc].push_back(inx);
for (auto i : g[inx])
{
if (!d[i])
{
d[i] = 1;
dfs(i);
}
}
}
int32_t main()
{
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n;
for (int i = 1; i < n; i++)
cin >> u >> v, g[u].push_back(v), g[v].push_back(u);
q = ffv(1);
q = ffv(q);
for (int i = 1; i <= n; i++)
{
if (d[i] == (d[q] + 1) / 2)
{
c = i;
break;
}
}
memset(d, 0, sizeof d);
d[c] = 1;
for (auto i : g[c])
{
dfs(i);
stc++;
}
sort(st, st+stc, [](vector <int> &x, vector <int> &y){return (x.size() < y.size());});
l = 0;
r = stc-1;
while (st[r].size())
{
for (int i = r-1; st[r].size() && i >= l; i--)
{
ans[0].push_back(st[r].back());
ans[1].push_back(st[i].back());
st[r].pop_back();
st[i].pop_back();
}
if (st[r].empty())
r--;
while (l < r && st[l].empty())
l++;
if (l == r)
{
while (st[r].size())
{
ans[0].push_back(st[r].back());
st[r].pop_back();
if (st[r].size())
{
ans[1].push_back(st[r].back());
st[r].pop_back();
}
else
ans[1].push_back(c);
}
}
}
cout << ans[0].size() << "\n";
for (int i = 0; i < int(ans[0].size()); i++)
cout << ans[0][i] << " " << ans[1][i] << "\n";
}
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