Cod sursa(job #495667)

Utilizator iconiKMircea Chirea iconiK Data 26 octombrie 2010 14:31:43
Problema Ciclu Eulerian Scor 50
Compilator cpp Status done
Runda Arhiva educationala Marime 1.86 kb
#include <algorithm>
#include <fstream>
#include <vector>

typedef unsigned int uint;

using namespace std;

int gr[100001];
int c[100001];
int ce[500002];
vector<int> a[100001];
int viz[10001];

int p = 1, u = 1, nr;

void ciclu(int x);
void inser();
void df(int k);

int main()
{
	ifstream in("ciclueuler.in");
	ofstream out("ciclueuler.out");
	
	int N, M;
	in >> N >> M;

	for (int i = 1; i <= M; i++)
	{
		int x, y;
		in >> x >> y;
		
		a[x].push_back(y);
		a[y].push_back(x);
		
		gr[x]++;
		gr[y]++;
	}
	
	df(1);
	
	for (int i = 1; i <= N; i++)
		if (gr[i] % 2 || (viz[i] == 0 && gr[i] != 0))
		{
			out << -1;
			return 0;
		}
	
	ce[1] = 1;
	
	while (p <= u)
	{
		if (gr[ce[p]] > 0)
		{
			ciclu(ce[p]);
			inser();
			
			u += nr - 1;
		}
		else
			p++;
	}
	
	for (int i = 1; i <= u-1; i++)
		out << ce[i] << ' ';
}

void ciclu(int x)
{
	nr = 1;
	c[1] = x;
	
	bool ok = true;
	
	do
	{
		for (int i = 0; (size_t) i < a[x].size() && ok; i++)
		{
			if (a[x][i] !=c[1])
			{
				nr++;
				c[nr] = a[x][i];
				
				gr[a[x][i]]--;
				gr[x]--;
				
				int z = a[x][i];
				
				vector<int>::iterator j = find(a[z].begin(), a[z].end(), x);
				a[z].erase(j);
				
				a[x].erase(a[x].begin());
				
				x = z;
				
				break;
			}
			else if(a[x][i]==c[1])
			{
				ok = false;
			    gr[c[1]]--;
				gr[x]--;
				c[++nr] = c[1];
				
				int z = a[x][i];
				
				vector<int>::iterator j = find(a[z].begin(), a[z].end(), x);
				a[z].erase(j);
				
				a[x].erase(a[x].begin());
			}
		}
	} while (ok);
}

void inser()
{
	for (int i = u; i >= p + 1; i--)
		ce[i + nr -1] = ce[i];
	
	for (int i = 2; i <= nr; i++)
		ce[p + i - 1] = c[i];
}

void df(int k)
{
	viz[k] = 1;
	
	for (int i = 0; (size_t)i < a[k].size(); i++)
		if (viz[a[k][i]] == 0)
			df(a[k][i]);
}