#include <bits/stdc++.h>
using namespace std;
#define modulo 998244353
#define mod(mod_x) ((((long long)mod_x+modulo))%modulo)
#define Inf 1000000005

vector<int> get(vector<vector<int>> E,int s){
	vector<int> ret(E.size(),Inf);
	ret[s] = 0;
	queue<int> Q;
	Q.push(s);
	while(Q.size()!=0){
		int u = Q.front();
		Q.pop();
		
		for(int i=0;i<E[u].size();i++){
			int v = E[u][i];
			if(ret[v]!=Inf)continue;
			ret[v] = ret[u]+1;
			Q.push(v);
		}
	}
	return ret;
}

int main(){
	
	int N,M,P,S,G;
	cin>>N>>M>>P>>S>>G;
	S--;G--;
	
	vector<vector<int>> E(2*N,vector<int>());
	
	for(int i=0;i<M;i++){
		int u,v;
		scanf("%d %d",&u,&v);
		u--;v--;
		
		E[2*u].push_back(2*v+1);
		E[2*u+1].push_back(2*v);
		E[2*v].push_back(2*u+1);
		E[2*v+1].push_back(2*u);
	}
	
	vector<int> d0 = get(E,S*2),d1 = get(E,G*2);
	
	vector<int> ans;
	
	for(int i=0;i<N;i++){
		int m = Inf;
		if(P%2==0){
			m = min(d0[i*2]+d1[i*2],d0[i*2+1]+d1[i*2+1]);
		}
		else{
			m = min(d0[i*2]+d1[i*2+1],d0[i*2+1]+d1[i*2]);
		}
		if(m<=P){
			ans.push_back(i);
		}
	}
	
	if(ans.size()==0)cout<<-1<<endl;
	else{
		cout<<ans.size()<<endl;
		for(int i=0;i<ans.size();i++)cout<<ans[i]+1<<endl;
	}
	
	return 0;
}