#include <bits/stdc++.h>

using namespace std;

#define REP(i,n) for(int i=0; i<(int)(n); i++)
const int INF = 1e9;

int n, m, p;
int s, g;
vector<int> edges[100000];

vector<vector<int> > calc(int v) {
  vector<vector<int> > dist(n, vector<int>(2, INF));
  queue<pair<int, int> > q;
  q.emplace(v, 0);
  dist[v][0] = 0;
  while (!q.empty()) {
    int u, parity;
    tie(u, parity) = q.front();
    q.pop();
    for (int w: edges[u]) {
      if (dist[w][!parity] == INF) {
        dist[w][!parity] = dist[u][parity] + 1;
        q.emplace(w, !parity);
      }
    }
  }
  return dist;
}


int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  
  cin >> n >> m >> p;
  cin >> s >> g;
  --s, --g;
  REP (i, m) {
    int u, v;
    cin >> u >> v;
    --u, --v;
    edges[u].push_back(v);
    edges[v].push_back(u);
  }

  auto d1 = calc(s), d2 = calc(g);
  vector<int> ret;

  REP (k, n) {
    bool ck = false;
    REP (i, 2) REP (j, 2) {
      int d = d1[k][i] + d2[k][j];
      if (d <= p && (p - d) % 2 == 0)
        ck = true;
    }
    if (ck)
      ret.push_back(k);
  }

  if (ret.empty())
    cout << -1 << endl;
  else {
    cout << ret.size() << endl;
    for (auto k: ret)
      cout << (k + 1) << endl;
  }
  
  return 0;
}