Cod sursa(job #2422855)

Utilizator cri25Berbecariu Crina cri25 Data 20 mai 2019 08:49:00
Problema Ciclu Eulerian Scor 80
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.33 kb
#include <fstream>
#include <vector>
#include <bitset>

using namespace std;

ifstream fin("ciclueuler.in");
ofstream fout("ciclueuler.out");

const int MaxN = 100001;
const int MaxE = 500001;

struct Edge{
    int a, b;
};

bitset<MaxE> v;
vector<vector<int>> G;
vector<Edge> E;
vector<int> ce;
int n, m;

void CitesteGraf();
void AfiseazaCiclu();
bool EsteEulerian();
inline void Df(int x);


int main()
{
    CitesteGraf();
    if(!EsteEulerian())
        fout << "-1";
    else
    {
        Df(1);
        AfiseazaCiclu();
    }
}

void CitesteGraf()
{
    fin >> n >> m;
    G = vector<vector<int>>(n + 1);
    E = vector<Edge> (m + 1);
    int a, b;
    for(int i = 1; i <= m; ++i)
    {
        fin >> a >> b;
        G[a].emplace_back(i);
        G[b].emplace_back(i);
        E[i] = {a, b};
    }
}

bool EsteEulerian()
{
    for(int x = 1; x <= n; ++x)
        if(G[x].size() % 2 == 1)
            return false;
    return true;
}

inline void Df(int x)
{
    for(const int& e : G[x])
    {
        if(v[e])
            continue;
        v[e] = 1;
        if(E[e].a == x)
            Df(E[e].b);
        else
            Df(E[e].a);
    }
    ce.emplace_back(x);
}

void AfiseazaCiclu()
{
    for(size_t i = 0; i < ce.size() - 1; ++i)
        fout << ce[i] << ' ';
}