#include <iostream>

#include <queue>

#include <vector>

#include <math.h>

#include <lemon/invalid.h>

#include <lemon/list_graph.h>

#include <lemon/smart_graph.h>

#include <matching.h>

using namespace lemon;

using namespace std;

int main() {

  typedef UndirSmartGraph Graph;

  typedef Graph::Edge Edge;

  typedef Graph::UndirEdgeIt UndirEdgeIt;

  typedef Graph::IncEdgeIt IncEdgeIt;

  typedef Graph::NodeIt NodeIt;

  typedef Graph::Node Node;

  typedef Graph::OutEdgeIt OutEdgeIt;

  Graph G;

  // G.clear();

  std::vector<Graph::Node> nodes;

  for (int i=0; i<5; ++i)

      nodes.push_back(G.addNode());

  G.addEdge(nodes[0], nodes[0]);

  G.addEdge(nodes[0], nodes[1]);

  G.addEdge(nodes[0], nodes[2]);  

  G.addEdge(nodes[0], nodes[4]);

  G.addEdge(nodes[2], nodes[3]);

  G.addEdge(nodes[1], nodes[2]);

  G.addEdge(nodes[2], nodes[4]);

  for(UndirEdgeIt e(G); e!=INVALID; ++e) {

    std::cout<<G.id(e)<<" : "<<G.id(G.source(e))

	     <<" " <<G.id(G.target(e))<<std::endl;

  }

  std::cout <<"Nodes:"<<std::endl;

  for(NodeIt v(G); v!=INVALID; ++v) {

    std::cout<<G.id(v)<<std::endl;

  }

  cout << "Dev Out edges from node " << G.id(nodes[1])<<std::endl;

  Edge f;

  for(G.firstOut(f, nodes[1]); f!=INVALID; G.nextOut(f)) {

    cout<<"edge " << G.id(f) << " goes"

	     <<" from "<< G.id(G.source(f)) 

	     << " to " << G.id(G.target(f))<<std::endl;

  }

  cout << "Out edges from node " << G.id(nodes[1])<<std::endl;

  for( OutEdgeIt f(G,nodes[1]); f!=INVALID; ++f ) {

    cout<<"edge " << G.id(f) << " goes"

	     <<" from "<< G.id(G.source(f)) 

	     << " to " << G.id(G.target(f))<<std::endl;

  }

  std::cout<<"Edges of node " << G.id(nodes[1])<<std::endl;

  for( IncEdgeIt f(G,nodes[1]); f!=INVALID; ++f ) {

    cout<<"edge " << G.id(f) << " goes"

	     <<" from "<< G.id(G.source(f)) 

	     << " to " << G.id(G.target(f))<<std::endl;

  }

  //return 0;

  //ez a ket for ciklus meg lefut - bar hibas eleken iteral -, de a

  //matching.h-s mar segfaultol

  for( IncEdgeIt f(G,nodes[1]); f!=INVALID; ++f ) {

    std::cout<<"edge " << G.id(f)<< " goes to " << G.id(G.target(f))<<std::endl;

  }

  MaxMatching<Graph> max_matching(G);

  max_matching.runEdmonds(0);

  return 0;

}