Cod sursa(job #3149831)

Utilizator daristyleBejan Darius-Ramon daristyle Data 12 septembrie 2023 22:10:47
Problema Ciclu Eulerian Scor 10
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.71 kb
#include <fstream>
#include <vector>
#include <stack>
#include <set>

using namespace std;

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

const int NODES_MAX = 1e5;
multiset<int> edge[NODES_MAX];
vector<int> cycle;
stack<int> recursionStack;
bool marked[NODES_MAX];

inline void addEdge(int u, int v){
	edge[u].insert(v);
	edge[v].insert(u);
}

inline bool hasNeighbours(const int& node){
	return !edge[node].empty();
}

inline int ChooseANeighbourAndErase(const int& node){
	int neighbour = *edge[node].begin();
	edge[node].erase(*edge[node].begin());
	edge[neighbour].erase(node);
	return neighbour;
}

void euler(int node){
	recursionStack.push(node);
	while(!recursionStack.empty()){
		node = recursionStack.top();

		if(hasNeighbours(node)){
			node = ChooseANeighbourAndErase(node);
			recursionStack.push(node);
		}else{
			cycle.push_back(node);
			recursionStack.pop();
		}
	}

	/*while(hasNeighbours(node)){
		int neighbour = ChooseANeighbourAndErase(node);
		euler(neighbour);
	}

	cycle.push_back(node);*/
}

int dfs(int node){
	int retval = 1;
	marked[node] = true;
	for(auto neighbour: edge[node])
		if(!marked[neighbour])
			retval += dfs(neighbour);

	return retval;
}

inline bool isConex(int nodes){
	return dfs(0) == nodes;
}

inline bool isEulerian(int nodes){
	int odds = 0;
	for(int node = 0; node < nodes; ++node)
		odds += edge[node].size() & 1;

	return !odds && isConex(nodes);
}

int main(){
	int nodes, edges, u, v;
	fin >> nodes >> edges;
	for(int i = 0; i < edges; ++i){
		fin >> u >> v;

		addEdge(u - 1, v - 1);
	}

	if(isEulerian(nodes)){

		euler(0);
		cycle.pop_back();

		for(auto x: cycle)
			fout << x + 1 << ' ';
		fout.put('\n');
	}else
		fout << "-1\n";

	fin.close();
	fout.close();
	return 0;
}