Cod sursa(job #495817)

Utilizator Cristy94Buleandra Cristian Cristy94 Data 26 octombrie 2010 21:45:43
Problema Ciclu Eulerian Scor 80
Compilator cpp Status done
Runda Arhiva educationala Marime 1.81 kb
#include <algorithm>
#include <fstream>
#include <vector>
#include <queue>

typedef unsigned int uint;

using namespace std;

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

int p = 1, u = 1, nr;


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)
{int i , v;
Q.push(1);
viz[1]=true;
	while(!Q.empty() ) {
		v = Q.front(); Q.pop();
		viz[v] = true;
		for(int s=0;s<a[v].size();s++)
			if ( !viz[a[v][s]] ) 
				Q.push(a[v][s]);
	}	
}

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] << ' ';
return 0;
}