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;
const int N = 500*1000+5;
vector<int> g[N];
bool used[N];
int timer, tin[N], fup[N];
bool f = false;
void dfs (int v, int p = -1) {
used[v] = true;
tin[v] = fup[v] = timer++;
for (size_t i=0; i<g[v].size(); ++i) {
int to = g[v][i];
if (to == p) continue;
if (used[to])
fup[v] = min (fup[v], tin[to]);
else {
dfs (to, v);
fup[v] = min (fup[v], fup[to]);
if (fup[to] > tin[v])
f = true;
}
}
}
int n;
void find_bridges() {
timer = 0;
f = false;
memset(tin,0,sizeof(tin));
memset(fup,0,sizeof(fup));
for (int i=1; i<=n; ++i)
used[i] = false;
for (int i=1; i<=n; ++i)
if (!used[i])
dfs (i);
}
int main(){
ios_base::sync_with_stdio(false);
cin>>n;
for(int i = 1;i<=n-1;i++){
int x,y;
cin>>x>>y;
g[x].push_back(y);
g[y].push_back(x);
}
vector<int> lf;
for(int i = 1;i<=n;i++){
if(g[i].size() == 1) lf.push_back(i);
}
/*
cout<<(lf.size()+1)/2<<endl;
for(int i = 0;i<lf.size()-1;i+=2){
cout<<lf[i]<< " "<<lf[i+1]<<endl;
}
if(lf.size()%2){
cout<<lf[lf.size()-1]<<" "<<lf[lf.size()-2]<<endl;
}*/
int tim = 50;
while(tim--){
random_shuffle(lf.begin(),lf.end());
//cout<<(lf.size()+1)/2<<endl;
for(int i = 0;i<lf.size()-1;i+=2){
//cout<<lf[i]<< " "<<lf[i+1]<<endl;
g[lf[i]].push_back(lf[i+1]);
g[lf[i+1]].push_back(lf[i]);
}
if(lf.size()%2){
// cout<<lf[lf.size()-1]<<" "<<lf[lf.size()-2]<<endl;
g[lf[lf.size()-1]].push_back(lf[lf.size()-2]);
g[lf[lf.size()-2]].push_back(lf[lf.size()-1]);
}
find_bridges();
if(!f){
cout<<(lf.size()+1)/2<<endl;
for(int i = 0;i<lf.size()-1;i+=2){
cout<<lf[i]<< " "<<lf[i+1]<<endl;
}
if(lf.size()%2){
cout<<lf[lf.size()-1]<<" "<<lf[lf.size()-2]<<endl;
}
return 0;
}
for(int i = 0;i<lf.size()-1;i+=2){
//cout<<lf[i]<< " "<<lf[i+1]<<endl;
g[lf[i]].pop_back();
g[lf[i+1]].pop_back();
}
if(lf.size()%2){
// cout<<lf[lf.size()-1]<<" "<<lf[lf.size()-2]<<endl;
g[lf[lf.size()-1]].pop_back();
g[lf[lf.size()-2]].pop_back();
}
}
return 0;
}
Compilation message (stderr)
net.cpp: In function 'int main()':
net.cpp:61:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0;i<lf.size()-1;i+=2){
~^~~~~~~~~~~~
net.cpp:74:28: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0;i<lf.size()-1;i+=2){
~^~~~~~~~~~~~
net.cpp:82:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0;i<lf.size()-1;i+=2){
~^~~~~~~~~~~~
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