This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimization "O2"
#pragma GCC optimization "unroll-loop"
#pragma GCC target ("avx2")
#include<bits/stdc++.h>
#define ll int
#define ld long double
#define fs first
#define sc second
using namespace std;
typedef pair<ll,ll> LL;
const ll N = 5e5 + 9;
const ll inf = 1e9 + 7;
const ll Log2 = 21;
vector<ll> g[N];
deque<ll> leaf;
vector<LL> ans;
ll n,x,y,root,pos[N],d[N],par[N][Log2];
ll now;
void DFS(ll u,ll p){
pos[u] = now; now++;
for (ll i = 1;i < Log2;i++) if ((1 << u) <= d[u])
par[u][i] = par[par[u][i - 1]][i - 1];
for (auto i : g[u]){
if (i != p){
d[i] = d[u] + 1; par[i][0] = u;
DFS(i,u);
}
}
}
bool lf(ll x,ll y){
return pos[x] < pos[y];
}
ll LCA(ll u,ll v){
if (d[u] > d[v]) swap(u,v);
for (ll i = Log2 - 1;i >= 0;i--) if ((1 << i) <= d[v] && d[par[v][i]] >= d[u])
v = par[v][i];
if (u == v) return u;
for (ll i = Log2 - 1;i >= 0;i--) if (par[u][i] != par[v][i])
v = par[v][i],u = par[u][i];
return par[v][0];
}
ll nearest(ll target){
ll scr = leaf.front();
ll l = 0,h = leaf.size() - 1,m;
while(l <= h){
m = (l + h)/2;
//cout<<scr<<" "<<leaf[m]<<" "<<LCA(scr,leaf[m])<<"\n"; //exit(0);
if (LCA(scr,leaf[m]) == target) h = m - 1;
else l = m + 1;
}
//exit(0);
//cout<<leaf[l]<<" "<<LCA(scr,leaf[l]); exit(0);
return l;
}
void out(){
for (auto i : leaf) cout<<i<<" "; exit(0);
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define task "tst"
if (fopen(task".inp","r")){
freopen(task".inp","r",stdin);
//freopen(task".out","w",stdout);
}
cin>>n;
for (ll i = 1;i < n;i++){
cin>>x>>y;
g[x].push_back(y); g[y].push_back(x);
}
for (ll i = 1;i <= n;i++){
if (g[i].size() > 1) root = i;
else leaf.push_back(i);
}
DFS(root,0); sort(leaf.begin(),leaf.end(),lf);
while(!leaf.empty()){
ll sz = leaf.size();
if (sz == 1) break;
ll lca = LCA(leaf.front(),leaf.back());
ll nxt = nearest(lca);
if (nxt <= sz/2){
for (ll i = 0;i < nxt;i++) ans.push_back({leaf[i],leaf[nxt + i]});
for (ll i = 0;i < 2*nxt;i++) leaf.pop_front();
}
else{
for (ll i = sz - 1;i >= nxt;i--) ans.push_back({leaf[i],leaf[nxt - sz + i]});
for (ll i = 0;i < 2*(sz - nxt);i++) leaf.pop_back();
}
//out();
}
if (!leaf.empty()) ans.push_back({leaf.back(),root});
cout<<ans.size()<<"\n";
for (auto i : ans) cout<<i.fs<<" "<<i.sc<<"\n";
}
Compilation message (stderr)
net.cpp:1: warning: ignoring #pragma GCC optimization [-Wunknown-pragmas]
1 | #pragma GCC optimization "O2"
|
net.cpp:2: warning: ignoring #pragma GCC optimization [-Wunknown-pragmas]
2 | #pragma GCC optimization "unroll-loop"
|
net.cpp: In function 'void out()':
net.cpp:61:5: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
61 | for (auto i : leaf) cout<<i<<" "; exit(0);
| ^~~
net.cpp:61:39: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
61 | for (auto i : leaf) cout<<i<<" "; exit(0);
| ^~~~
net.cpp: In function 'int main()':
net.cpp:68:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
68 | freopen(task".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
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