#include <iostream>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <queue>
#include <set>
#include <map>

using namespace std;
typedef long long ll;
typedef pair<int, int> P;

const ll INF = 1e15;
vector<int> G[100000];

ll dist_t[100000][2];
ll dist_s[100000][2];

int N, M;
ll K;
int s, t;

void dijkstra(int s, ll d[][2]){
    priority_queue<P, vector<P>, greater<P>> que;
    for(int i = 0; i < N; i++){
        d[i][0] = INF; d[i][1] = INF;
    }
    d[s][0] = 0;
    que.push(P(0, s));
    while(!que.empty()){
        P p = que.top();que.pop();
        int v = p.second;
        int dist = p.first;
        if(d[v][dist%2] < dist) continue;
        for(int i = 0; i < G[v].size(); i++){
            int to = G[v][i];
            if(d[v][dist%2] + 1 < d[to][(dist+1)%2]){
                d[to][(dist+1)%2] = d[v][dist%2] + 1;
                que.push(P(d[to][(dist+1)%2], to));
            }
        }
    }
}



int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << setprecision(10) << fixed;
    cin >> N >> M >> K;
    cin >> s >> t; s--; t--;
    for(int i = 0; i < M; i++){
        int u, v; cin >> u >> v; u--; v--;
        G[u].push_back(v);
        G[v].push_back(u);
    }
    dijkstra(s, dist_s);
    dijkstra(t, dist_t);
    vector<int> ans;
    for(int i = 0; i < N; i++){
        if(K%2 == 1){
            if(dist_s[i][1]+dist_t[i][0] <= K) {
                ans.push_back(i);
                continue;
            }
            if(dist_s[i][0]+dist_t[i][1] <= K) {
                ans.push_back(i);
                continue;
            }
        }else{
            if(dist_s[i][0]+dist_t[i][0] <= K) {
                ans.push_back(i);
                continue;
            }
            if(dist_s[i][1]+dist_t[i][1] <= K) {
                ans.push_back(i);
                continue;
            }
        }
    }
    if(ans.size() == 0){
        cout << -1 << endl;
        return 0;
    }
    cout << ans.size() << endl;
    for(int i : ans) cout << i+1 << endl;
}