Cod sursa(job #2815583)

Utilizator LordNecrateBiowCuciureanu Dragos-Adrian LordNecrateBiow Data 9 decembrie 2021 21:10:20
Problema Ciclu Eulerian Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 4.8 kb
#include <iostream>
#include <fstream>
#include <algorithm>
#include <math.h>
#include <vector>
#include <queue>
#include <stack>

using namespace std;

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


class Graph
{
public:
	struct Edge
	{
		int _nrOrd, _startingNode, _destinationNode;

		Edge(int nrOrd, int startingNode, int destinationNode) 
		{
			_nrOrd = nrOrd;
			_startingNode = startingNode; 
			_destinationNode = destinationNode;
		}

	};

private:
	bool _oriented;
	bool _weighted;
	bool _capacity;

	int _nrNodes;
	int _nrEdges;

	vector < vector <Edge> > _neighborList;

	//gets an Euler cycle if there is one
	void EulerCycle(vector<bool>& visitedEdges, vector<int>& solution, int& edgeCounter, int sourceNode);

public:
	Graph(int nrNodes = 0, int nrEdges = 0, bool oriented = false, bool weighted = false, bool capacity = false);
	~Graph() {}

#pragma region Setters&Getters
	void setOrientation(bool orientation)
	{
		_oriented = orientation;
	}
	void setNrNodes(int nrNodes)
	{
		_nrNodes = nrNodes;
	}
	void setNrEdges(int nrEdges)
	{
		_nrEdges = nrEdges;
	}

	bool getOrientation()
	{
		return _oriented;
	}
	int getNrNodes()
	{
		return _nrNodes;
	}
	int getNrEdges()
	{
		return _nrEdges;
	}
#pragma endregion

	//reads and builds the graph
	void buildNeighborList(istream& input);
	//returns a vector of all the edges
	vector<Edge> getEdges();
	//adds an edge to the graph
	void addEdge(Edge newEdge);

	//Function Wrappers

	//returns the Euler cycle, if there is one
	vector<int> buildEulerCycle();
};

Graph::Graph(int nrNodes, int nrEdges, bool oriented, bool weighted, bool capacity)
{
	_nrNodes = nrNodes;
	_nrEdges = nrEdges;

	_oriented = oriented;
	_weighted = weighted;
	_capacity = capacity;

	vector <Edge> emptyVector;

	for (int i = 0; i < nrNodes; i++)
	{
		_neighborList.push_back(emptyVector);
	}
}

void Graph::EulerCycle(vector<bool>& visitedEdges, vector<int>& solution, int& edgeCounter, int sourceNode)
{
	while(_neighborList[sourceNode].empty() == false)
	{
		Edge edge = _neighborList[sourceNode].back();

		int destinationNode = edge._destinationNode;
		int edgeNrOrd = edge._nrOrd;

		_neighborList[sourceNode].pop_back();

		if (visitedEdges[edgeNrOrd] == false)
		{
			visitedEdges[edgeNrOrd] = true;

			EulerCycle(visitedEdges, solution, edgeCounter, destinationNode);
		}
	}

	solution.push_back(sourceNode);
	edgeCounter++;
}




void Graph::buildNeighborList(istream& input)
{
	int node1, node2, distance, capacity;

	for (int i = 0; i < _nrEdges; i++)
	{
		input >> node1 >> node2;

		node1--;
		node2--;

		if (_weighted == true)
		{
			fin >> distance;
		}
		else
		{
			distance = 0;
		}

		if (_capacity == true)
		{
			fin >> capacity;
		}
		else
		{
			capacity = 0;
		}

		Edge newEdge(i, node1, node2);

		_neighborList[node1].push_back(newEdge);

		if (_oriented == false)
		{
			Edge newEdge(i, node2, node1);

			_neighborList[node2].push_back(newEdge);
		}
	}
}

vector<Graph::Edge> Graph::getEdges() 
{
	vector<Edge> edges;

	if (_oriented == true) 
	{
		for (int node = 0; node < _nrNodes; node++)
		{
			for (auto &edge : _neighborList[node])
			{
				edges.push_back(edge);
			}
		}
	}
	else 
	{
		vector<bool> visited(_nrNodes, false);

		for (int node = 0; node < _nrNodes; node++) 
		{
			for (auto &edge : _neighborList[node]) 
			{
				if (visited[edge._destinationNode] == false) 
				{
					edges.push_back(edge);
				}
			}

			visited[node] = true;
		}
	}

	return edges;
}

void Graph::addEdge(Edge newEdge) 
{
	_neighborList[newEdge._startingNode].push_back(newEdge);

	if (_oriented == false) 
	{
		//Edge newEdge2(newEdge._destinationNode, newEdge._startingNode, newEdge._distance, newEdge._capacity);

		//_neighborList[newEdge._destinationNode].push_back(newEdge2);
	}

	_nrEdges++;
}

vector<int> Graph::buildEulerCycle()
{
	vector<bool> visitedEdges(_nrEdges, false);
	vector<int> solution;
	int edgeCounter = 0;

	for (int i = 0; i < _nrNodes; i++)
	{
		if (_neighborList[i].size() % 2 == 1)
		{
			solution.push_back(-1);
			return solution;
		}
	}

	EulerCycle(visitedEdges, solution, edgeCounter, 0);

	if (edgeCounter != _nrEdges + 1)
	{
		solution[0] = -1;
		return solution;
	}
	else
	{
		return solution;
	}
}




int main()
{
	vector<int> solution;
	int nrNodes, nrEdges;
	
	fin >> nrNodes >> nrEdges;
	
	Graph graph(nrNodes, nrEdges, false, false, false);
	
	graph.buildNeighborList(fin);

	solution = graph.buildEulerCycle();

	if (solution[0] != -1)
	{
		for (int i = 0; i < solution.size() - 1; i++)
		{
			fout << solution[i] + 1 << " ";
		}
	}
	else
	{
		fout << -1;
	}

	fin.close();
	fout.close();

	return 0;
}