Submission #1189160

#TimeUsernameProblemLanguageResultExecution timeMemory
1189160kl0989eNetwork (BOI15_net)C++20
100 / 100
226 ms75484 KiB
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define fi first
#define se second
#define pb push_back
#define vi vector<int>
#define vl vector<ll>
#define pi pair<int, int>
#define pl pair<ll,ll>
#define all(x) (x).begin(),(x).end()

const int maxn=5e5+10;
vector<vi> graph(maxn);
vector<pi> ans;

pi dfs(int cur, int prev=-1) {
	vi tt;
	vi ttt;
	int a=-1;
	bool k=1;
	for (auto to:graph[cur]) {
		if (to==prev) {
			continue;
		}
		pi t=dfs(to,cur);
		tt.pb(t.fi);
		if (t.se!=-1) {
			ttt.pb(t.se);
			if (k) {
				a=t.fi;
			}
		}
		else {
			k=0;
			a=t.fi;
		}
	}
	if (tt.size()==1 && ttt.size()==1) {
		return {tt[0],ttt[0]};
	}
	if (tt.size()==2 && !ttt.size()) {
		return {tt[0],tt[1]};
	}
	if (tt.size()==0) {
		return {cur,-1};
	}
	while (ttt.size()>1) {
		int a=ttt.back();
		ttt.pop_back();
		int b=ttt.back();
		ttt.pop_back();
		ans.pb({a,b});
	}
	if (ttt.size()) {
		ans.pb({ttt.back(),a});
		tt.erase(find(all(tt),a));
	}
	while (tt.size()>2) {
		int a=tt.back();
		tt.pop_back();
		int b=tt.back();
		tt.pop_back();
		ans.pb({a,b});
	}
	if (tt.size()==2) {
		return {tt[0],tt[1]};
	}
	return {tt[0],-1};
}

int32_t main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	int n;
	cin >> n;
	int a,b;
	for (int i=0; i<n-1; i++) {
		cin >> a >> b;
		graph[--a].pb(--b);
		graph[b].pb(a);
	}
	int i=0;
	while (graph[i].size()==1) {
		i++;
	}
	pi t=dfs(i);
	if (t.se==-1) {
		ans.pb({t.fi,i});
	}
	else {
		ans.pb({t.fi,t.se});
	}
	cout << ans.size() << '\n';
	for (int i=0; i<ans.size(); i++) {
		cout << ans[i].fi+1 << ' ' << ans[i].se+1 << '\n';
	}
	return 0;
}
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