/**
 *    author:  otera    
**/
#include<iostream>
#include<string> 
#include<cstdio>
#include<cstring>
#include<vector>
#include<cmath>
#include<algorithm> 
#include<functional>
#include<iomanip>
#include<queue>
#include<deque>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<complex>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
using namespace std;

//#define int long long
typedef long long ll;
typedef unsigned long long ul;
typedef unsigned int ui;
typedef long double ld;
const int inf=1e9+7;
const ll INF=1LL<<60 ;
const ll mod=1e9+7 ;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
typedef complex<ld> Point;
const ld eps = 1e-8;
const ld pi = acos(-1.0);
typedef pair<int, int> P;
typedef pair<ld, ld> LDP;
typedef pair<ll, ll> LP;
#define fr first
#define sc second
#define all(c) c.begin(),c.end()
#define pb push_back
#define debug(x)  cerr << #x << " = " << (x) << endl;
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

int n, m, p;
vector<vector<int>> g;
int s, t;

void solve() {
	cin >> n >> m >> p;
    g.assign(n, vector<int>());
    cin >> s >> t; -- s, -- t;
    rep(i, m) {
        int u, v; cin >> u >> v;
        -- u, -- v;
        g[u].pb(v);
        g[v].pb(u);
    }
    vector<int> e_d(n, inf), o_d(n, inf);
    e_d[s] = 0;
    queue<int> que;
    que.push(s);
    while(!que.empty()) {
        int v = que.front(); que.pop();
        for(int nv: g[v]) {
            if(chmin(e_d[nv], o_d[v] + 1)) {
                que.push(nv);
            }
            if(chmin(o_d[nv], e_d[v] + 1)) {
                que.push(nv);
            }
        }
    }
    //
    vector<int> e_d2(n, inf), o_d2(n, inf);
    e_d2[t] = 0;
    que.push(t);
    while(!que.empty()) {
        int v = que.front(); que.pop();
        for(int nv: g[v]) {
            if(chmin(e_d2[nv], o_d2[v] + 1)) {
                que.push(nv);
            }
            if(chmin(o_d2[nv], e_d2[v] + 1)) {
                que.push(nv);
            }
        }
    }
    vector<int> ans;
    rep(i, n) {
        if(p % 2 == 0) {
            if(e_d[i] + e_d2[i] <= p || o_d[i] + o_d2[i] <= p) {
                ans.pb(i);
            }
        } else {
            if(e_d[i] + o_d2[i] <= p || o_d[i] + e_d2[i] <= p) {
                ans.pb(i);
            }
        }
    }
    if(ans.empty()) {
        cout << -1 << endl;
        return;
    }
    cout << (int)ans.size() << endl;
    for(int x: ans) {
        cout << x + 1 << endl;
    }
}

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(10);
	//int t; cin >> t; rep(i, t)solve();
	solve();
    return 0;
}