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/// Mesaj4
/// Toate mesajele stranse in nodul de gard maxim cu n-1 pasi
/// Distribuirea lor la restul de noduri prin n-1 pasi
#include <bits/stdc++.h>
using namespace std;
ifstream in("mesaj4.in");
ofstream out("mesaj4.out");
#define NMAX 100000
vector <int> G[NMAX+5];
int N, M, Use[NMAX+5], Grad[NMAX+5], K;
pair <int,int> V[NMAX+5];
void Read () {
in >> N >> M;
int x, y;
for (int i = 0; i < M; i++) {
in >> x >> y;
G[x].push_back(y);
G[y].push_back(x);
}
}
void DFS1 (int Node) {
Use[Node] = 1;
for (int i = 0; i < (int)G[Node].size(); i++) {
int Vecin = G[Node][i];
if (!Use[Vecin]) {
V[++K] = {Node, Vecin};///inlocuieste DFS2
DFS1(Vecin);
out << Vecin << " " << Node << '\n';
}
}
}
int main () {
Read();
for(int i = 1; i <= N; i++)
if(G[i].empty()) {
out << "-1\n";
return 0;
}
out << 2 * N - 2 << '\n';
DFS1(1);
for(int i = 1; i < N; i++)
out << V[i].first << " " << V[i].second << '\n';
return 0;
}