#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 998244353;
const ll INF = mod * mod;
typedef pair<int, int>P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;
typedef double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acosl(-1.0);

ll mod_pow(ll x, ll n, ll m) {
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
struct modint {
	ll n;
	modint() :n(0) { ; }
	modint(ll m) :n(m) {
		if (n >= mod)n %= mod;
		else if (n < 0)n = (n % mod + mod) % mod;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }

const int max_n = 1 << 2;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}

ul gcd(ul a, ul b) {
	if (a < b)swap(a, b);
	while (b) {
		ul r = a % b; a = b; b = r;
	}
	return a;
}

int dist[2][1 << 17][2];
void solve() {
	int n, m, p; cin >> n >> m >> p;
	int s, g; cin >> s >> g; s--; g--;
	vector<vector<int>> G(n);
	rep(i, m) {
		int a, b; cin >> a >> b; a--; b--;
		G[a].push_back(b);
		G[b].push_back(a);
	}
	rep(i, 2)rep(j, n)rep(k, 2)dist[i][j][k] = mod;
	dist[0][s][0] = 0;
	queue<P> q; q.push({ s,0 });
	while (!q.empty()) {
		P p = q.front(); q.pop();
		int v = p.first, id = p.second;
		for (int to : G[v]) {
			if (dist[0][to][id ^ 1] > dist[0][v][id] + 1) {
				dist[0][to][id ^ 1] = dist[0][v][id] + 1;
				q.push({ to,id ^ 1 });
			}
		}
	}
	dist[1][g][0] = 0;
	q.push({ g,0 });
	while (!q.empty()) {
		P p = q.front(); q.pop();
		int v = p.first, id = p.second;
		for (int to : G[v]) {
			if (dist[1][to][id ^ 1] > dist[1][v][id] + 1) {
				dist[1][to][id ^ 1] = dist[1][v][id] + 1;
				q.push({ to,id ^ 1 });
			}
		}
	}
	vector<int> ans;
	rep(i, n) {
		bool valid = false;
		rep(j, 2)rep(k, 2) {
			int vl = dist[0][i][j];
			int vr = dist[1][i][k];
			if (vl == mod || vr == mod)continue;
			if (vl + vr <= p) {
				if ((vl + vr + p) % 2 == 0) {
					valid = true;
				}
			}
		}
		if (valid)ans.push_back(i);
	}
	if (ans.size() == 0) {
		cout << -1 << "\n";
	}
	else {
		cout << ans.size() << "\n";
		rep(i, ans.size())cout << ans[i] + 1 << "\n";
	}
}

signed main() {
    ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(10);
	//init_f();
	//expr();
	//int t; cin >> t; rep(i, t)
	//while (cin >> n >> m>>s1>>s2>>t, n)
	solve();
	return 0;
}