#pragma GCC target("avx2,avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<long long, long long>;
#define rep(i, n) for(int i = 0; i < (n); ++i)
#define all(x) (x).begin(),(x).end()
constexpr char ln = '\n';
constexpr long long MOD = 1000000007;
//constexpr long long MOD = 998244353;
template<class T1, class T2> inline bool chmax(T1 &a, T2 b) {if (a < b) {a = b; return true;} return false;}
template<class T1, class T2> inline bool chmin(T1 &a, T2 b) {if (a > b) {a = b; return true;} return false;}
inline int topbit(int x) {return x == 0 ? -1 : 31-__builtin_clz(x);}
inline int topbit(long long x) {return x == 0 ? -1 : 63-__builtin_clzll(x);}
inline int botbit(int x) {return x == 0 ? 32 : __builtin_ctz(x);}
inline int botbit(long long x) {return x == 0 ? 64 : __builtin_ctzll(x);}
inline int popcount(int x) {return __builtin_popcount(x);}
inline int popcount(long long x) {return __builtin_popcountll(x);}
void print() {cout << "\n";}
template<class T, class... Args>
void print(const T &x, const Args &... args) {
    cout << x << " ";
    print(args...);
}
///////////////////////////////////////////////////////////////////////////////////////////////////////////////

vector<int> bfs(const vector<vector<int>> &G, int s) {
    vector<int> ret(G.size(),MOD);
    ret[s] = 0;
    queue<int> que;
    que.emplace(s);
    while (!que.empty()) {
        int v = que.front(); que.pop();
        for (auto nv : G[v]) {
            if (ret[nv] != MOD) continue;
            ret[nv] = ret[v] + 1;
            que.emplace(nv);
        }
    }

    return ret;
}

int main() {
    ios::sync_with_stdio(false); cin.tie(nullptr);   
    int N,M,P; cin >> N >> M >> P;
    int s,g; cin >> s >> g;
    --s; --g;
    vector<vector<int>> G(N*2);
    rep(i,M) {
        int u,v; cin >> u >> v;
        --u; --v;
        G[u].emplace_back(v+N);
        G[v+N].emplace_back(u);
        G[v].emplace_back(u+N);
        G[u+N].emplace_back(v);
    }

    auto dist_s = bfs(G,s);
    if (P&1) g += N;
    if (dist_s[g] > P) {
        cout << -1 << ln;
        return 0;
    }

    auto dist_g = bfs(G,g);
    vector<int> ans;
    rep(i,N) {
        if (dist_s[i]+dist_g[i]<=P or dist_s[i+N]+dist_g[i+N]<=P) ans.emplace_back(i+1);
    }

    cout << ans.size() << ln;
    for (auto i : ans) cout << i << ln;
}