// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
#define int ll
#define double ld
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define rep1(i,n) for (int i = 1; i <= (int)(n); i++)
#define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i,n) for (int i = (int)(n); i >= 1; i--)
#define loop(i,a,B) for (int i = a; i B; i++)
#define loopR(i,a,B) for (int i = a; i B; i--)
#define all(x) (x).begin(), (x).end()
#define allR(x) (x).rbegin(), (x).rend()
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fst first
#define snd second
template <class Int> auto constexpr inf = numeric_limits<Int>::max()/2-1;
auto constexpr INF32 = inf<int32_t>;
auto constexpr INF64 = inf<int64_t>;
auto constexpr INF   = inf<int>;
#ifdef LOCAL
#include "debug.hpp"
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#endif
template <class T> using pque_max = priority_queue<T>;
template <class T> using pque_min = priority_queue<T, vector<T>, greater<T> >;
template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type>
ostream& operator<<(ostream& os, T const& v) { bool f = true; for (auto const& x : v) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = typename T::iterator, class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &v) { for (auto& x : v) is >> x; return is; }
template <class T, class S> ostream& operator<<(ostream& os, pair<T,S> const& p) { return os << "(" << p.first << ", " << p.second << ")"; }
template <class T, class S> istream& operator>>(istream& is, pair<T,S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
    constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
    template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint {
    template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); }
};
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
    using type = vector<typename vec_impl<T,d-1>::type>;
    template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T,d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T,0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T,d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T,d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > y) { x = y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < y) { x = y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b,e,typename iterator_traits<It>::value_type{}); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) {
    return lower_bound(v.begin(), v.end(), x)-v.begin();
}
template <class C, class T> int ubd(C const& v, T const& x) {
    return upper_bound(v.begin(), v.end(), x)-v.begin();
}
const int dx[] = { 1,0,-1,0 };
const int dy[] = { 0,1,0,-1 };
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
template <class Int> struct Random {
    mt19937_64 mt{random_device{}()};
    //mt19937_64 mt{(unsigned)time(0)};
    Int a,b; // [a,b]
    Random(Int a, Int b) : a(a), b(b) {}
    Int operator()() { return uniform_int_distribution<Int>(a,b)(mt); }
};
template <class Int> Int rand(Int a, Int b) { // [a,b]
    static mt19937_64 mt{random_device{}()};
    return uniform_int_distribution<Int>(a,b)(mt);
}
// <<<
// >>> union find
struct UnionFind {
    int n, sz; // id : 0...n-1
    vector<int> par;

    UnionFind(int n = 0) : n(n), sz(n), par(n,-1) { }
    int root(int x) {
        assert(0 <= x); assert(x < n);
        return par[x] < 0 ? x : par[x] = root(par[x]);
    }
    bool unite(int x, int y) {
        x = root(x), y = root(y);
        if (x == y) return false;
        sz--;
        if (par[x] < par[y]) swap(x,y);
        par[y] += par[x];
        par[x] = y;
        return true;
    }
    bool same(int x, int y) { return root(x) == root(y); }
    int size(int x) { return -par[root(x)]; }
    int size() const { return sz; }
    struct groups_t {
        vector<vector<int> > grp;
        vector<pair<int,int> > id;
    };
    groups_t groups() {
        vector<vector<int> > g(n);
        rep (i,n) if (par[i] < 0) g[i].reserve(-par[i]);
        rep (i,n) g[root(i)].push_back(i);
        vector<vector<int> > grp; grp.reserve(size());
        rep (i,n) if (g[i].size()) grp.emplace_back(move(g[i]));
        vector<pair<int,int> > id(n);
        rep (i,grp.size()) rep (j,grp[i].size()) {
            id[grp[i][j]] = make_pair(i,j);
        }
        return { grp, id };
    }
};
// <<<
// >>> bfs
constexpr int dst(int v) { return v; }
template <class E, class = decltype(E().to)>
constexpr int dst(E const& e) { return e.to; }

template <class E>
vector<int> bfs(vector<vector<E>> const& g, int s, int inf) {
    vector<int> d(g.size(),inf);
    queue<int> q;
    d[s] = 0;
    q.push(s);
    while (q.size()) {
        int x = q.front(); q.pop();
        for (auto const& e : g[x]) {
            const int y = dst(e);
            if (chmin(d[y], d[x]+1)) q.push(y);
        }
    }
    return d;
}
// <<<

int32_t main() {
    int n,m,p; cin >> n >> m >> p;
    int s,t; cin >> s >> t; --s,--t;
    vector<vector<int>> g(2*n);
    auto id = [&](int pa, int x) { return x*2+pa; };
    UnionFind uf(n);
    rep (i,m) {
        int x,y; cin >> x >> y; --x,--y;
        rep (pa,2) {
            g[id(pa,x)].eb(id(pa^1,y));
            g[id(pa,y)].eb(id(pa^1,x));
        }
        uf.unite(x,y);
    }

    if (not uf.same(s,t)) quit(-1);

    auto ds = bfs(g,id(0,s),INF);
    auto dt = bfs(g,id(0,t),INF);

    if (ds[id(p&1,t)] > p) quit(-1);

    vector<int> ok(n);
    rep (x,n) {
        rep (i,2) rep (j,2) if ((i^j) == (p&1)) {
            if (ds[id(i,x)] + dt[id(j,x)] <= p) {
                ok[x] = 1;
            }
        }
    }

    int k = count(all(ok),1);
    cout << k << endl;
    rep (x,n) if (ok[x]) cout << x+1 << "\n";

}