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Cod sursa(job #579165)
#include <iostream>
#include <cstdio>
#include <cstring>
#include <queue>
#include <vector>
#include <stack>
using namespace std;
#define maxn 100010
int N, M;
int deg[maxn], viz[maxn];
vector<int> G[maxn], ciclu;
stack<int> stiva;
void BFS(int nod) {
queue<int> Q;
Q.push(nod); viz[nod] = 1;
while(!Q.empty()) {
int nod = Q.front(); Q.pop();
for(vector<int>::iterator it=G[nod].begin(); it!=G[nod].end(); it++) {
if(!viz[*it]) {
viz[*it] = 1;
Q.push(*it);
}
}
}
}
void sterge(int nod1, int nod2) {
vector<int>::iterator it;
for(it=G[nod1].begin(); it!=G[nod1].end(); it++) {
if((*it) == nod2) break;
}
G[nod1].erase(it);
}
int main() {
FILE *f1=fopen("ciclueuler.in", "r"), *f2=fopen("ciclueuler.out", "w");
int i, j, p, q;
fscanf(f1, "%d %d\n", &N, &M);
for(i=1; i<=M; i++) {
fscanf(f1, "%d %d\n", &p, &q);
G[p].push_back(q);
G[q].push_back(p);
deg[p] ++; deg[q] ++;
}
//verific daca e conex
int nrcc = 0;
for(i=1; i<=N; i++) {
if(!viz[i]) {
nrcc ++;
BFS(i);
}
}
if(nrcc > 1) {
fprintf(f2, "-1\n");
return 0;
}
//verific daca toate nodurile au grad par
for(i=1; i<=N; i++) {
if(deg[i] % 2 == 1) {
fprintf(f2, "-1\n");
return 0;
}
}
//acum pot face in pace ciclul
stiva.push(1);
while(stiva.size()) {
int nod = stiva.top();
if(!G[nod].size()) {
stiva.pop();
ciclu.push_back(nod);
}
else {
int nod1 = G[nod][0];
sterge(nod, nod1);
sterge(nod1, nod);
stiva.push(nod1);
}
}
for(i=1; i<ciclu.size(); i++) {
fprintf(f2, "%d ", ciclu[i]);
} fprintf(f2, "\n");
fclose(f1); fclose(f2);
return 0;
}