#include <bits/stdc++.h>
using namespace std;
int INF = 100000000;
int main(){
  int N, M, P;
  cin >> N >> M >> P;
  int S, G;
  cin >> S >> G;
  S--;
  G--;
  vector<vector<int>> E(N);
  for (int i = 0; i < M; i++){
    int u, v;
    cin >> u >> v;
    u--;
    v--;
    E[u].push_back(v);
    E[v].push_back(u);
  }
  vector<vector<int>> E2(N * 2);
  for (int i = 0; i < N; i++){
    for (int j : E[i]){
      E2[i * 2].push_back(j * 2 + 1);
      E2[i * 2 + 1].push_back(j * 2);
    }
  }
  vector<int> d1(N * 2, INF);
  d1[S * 2] = 0;
  queue<int> Q1;
  Q1.push(S * 2);
  while (!Q1.empty()){
    int v = Q1.front();
    Q1.pop();
    for (int w : E2[v]){
      if (d1[w] == INF){
        d1[w] = d1[v] + 1;
        Q1.push(w);
      }
    }
  }
  vector<int> d2(N * 2, INF);
  d2[G * 2] = 0;
  queue<int> Q2;
  Q2.push(G * 2);
  while (!Q2.empty()){
    int v = Q2.front();
    Q2.pop();
    for (int w : E2[v]){
      if (d2[w] == INF){
        d2[w] = d2[v] + 1;
        Q2.push(w);
      }
    }
  }
  if (d1[G * 2 + P % 2] > P){
    cout << -1 << endl;
  } else {
    vector<int> ans;
    for (int i = 0; i < N; i++){
      if (P % 2 == 0){
        if (min(d1[i * 2] + d2[i * 2], d1[i * 2 + 1] + d2[i * 2 + 1]) <= P){
          ans.push_back(i);
        }
      }
      if (P % 2 == 1){
        if (min(d1[i * 2 + 1] + d2[i * 2], d1[i * 2] + d2[i * 2 + 1]) <= P){
          ans.push_back(i);
        }
      }
    }
    int K = ans.size();
    cout << K << endl;
    for (int i = 0; i < K; i++){
      cout << ans[i] + 1 << endl;
    }
  }
}