#include <bits/stdc++.h>
using namespace std;

#define REP(i,n) for(ll i=0;i<(ll)n;i++)
#define dump(x)  cerr << #x << " = " << (x) << endl;
#define spa << " " <<
#define fi first
#define se second
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()

using ld = long double;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<long, long>;
using pdd = pair<ld, ld>;

template<typename T> struct V : vector<T> { using vector<T>::vector; };
V() -> V<ll>;
V(size_t) -> V<ll>;
template<typename T> V(size_t, T) -> V<T>;
template<typename T> vector<T> make_vec(size_t n, T a) { return vector<T>(n, a); }
template<typename... Ts> auto make_vec(size_t n, Ts... ts) { return vector<decltype(make_vec(ts...))>(n, make_vec(ts...)); }
template<class S, class T> ostream& operator << (ostream& os, const pair<S, T> v){os << "(" << v.first << ", " << v.second << ")"; return os;}
template<typename T> ostream& operator<<(ostream &os, const vector<T> &v) { for (auto &e : v) os << e << ' '; return os; }
template<class T> ostream& operator<<(ostream& os, const vector<vector<T>> &v){ for(auto &e : v){os << e << "\n";} return os;}
struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;

template<class T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; }
void fail() { cout << -1 << '\n'; exit(0); }
inline int popcount(const int x) { return __builtin_popcount(x); }
inline int popcount(const ll x) { return __builtin_popcountll(x); }
template<typename T> void debug(vector<vector<T>>&v,ll h,ll w){for(ll i=0;i<h;i++)
{cerr<<v[i][0];for(ll j=1;j<w;j++)cerr spa v[i][j];cerr<<endl;}};
template<typename T> void debug(vector<T>&v,ll n){if(n!=0)cerr<<v[0];
for(ll i=1;i<n;i++)cerr spa v[i];
cerr<<endl;};

const ll INF = (1ll<<62);
// const ld EPS   = 1e-10;
// const ld PI    = acos(-1.0);
const ll mod = (int)1e9 + 7;
//const ll mod = 998244353;

using Graph = V<V<ll>>;

vector<int> graph_bfs(Graph &G, ll s){
    // sは始点のリスト
    const int N = G.size();
    vector<int> dist(N, -1);
    queue<int> qu;

    // initialization
    qu.push(s);
    dist[s] = 0;

    while(!qu.empty()){
        int now = qu.front();qu.pop();
        for(auto next: G[now]){
            if(dist[next] != -1) continue;
            dist[next] = dist[now] + 1;
            qu.push(next);
        }
    }

    return dist;
}

int main(){

    ll N, M, P, S, G;
    cin >> N >> M >> P >> S >> G;
    S--, G--;
    Graph H(2*N);

    REP(i, M){
        ll u, v;
        cin >> u >> v;
        u--, v--;
        H[u].push_back(v+N);
        H[v].push_back(u+N);
        H[u+N].push_back(v);
        H[v+N].push_back(u);
    }

    auto distS = graph_bfs(H, S);
    auto distG = graph_bfs(H, G);

    V<ll> res;
    REP(i, N){
        bool ok = false;
        REP(j, 2){
            REP(k, 2){
                ll d1 = distS[i+j*N];
                ll d2 = distG[i+k*N];
                if(d1==-1 or d2==-1) continue;
                if(d1+d2<=P and (P-d1-d2)%2==0) ok = true;
            }
        }
        if(ok) res.push_back(i);
    }

    if((int)res.size() == 0){
        cout << -1 << endl;
    }else{
        cout << res.size() << endl;
        for(auto x: res) cout << x+1 << endl;
    }

    return 0;
}