#include <bits/stdc++.h>
using namespace std;

int N, M, P, S, G, u[100001], v[100001];
int kyo_s[100001][2], kyo_g[100001][2];
constexpr int inf = 1000000000;
set<pair<int, int>> st;
queue<pair<int, int>> q;
vector<int> edge[1000001];
vector<int> ans;
int main() {
    cin >> N >> M >> P;
    cin >> S >> G;
    assert(2 <= N && N <= 100000);
    assert(1 <= M && M <= min(N * (N - 1) / 2, 100000));
    assert(1 <= P && P <= 1000000000);
    assert(S != G);
    for (int i = 1; i <= M; i++) {
        cin >> u[i] >> v[i];
        assert(u[i] != v[i]);
        assert(st.count(pair<int, int>(u[i], v[i])) == 0);
        st.insert(pair<int, int>(u[i], v[i]));
        st.insert(pair<int, int>(v[i], u[i]));
        edge[u[i]].push_back(v[i]);
        edge[v[i]].push_back(u[i]);
    }
    for (int i = 1; i <= N; i++) {
        kyo_s[i][0] = inf;
        kyo_s[i][1] = inf;
        kyo_g[i][0] = inf;
        kyo_g[i][1] = inf;
    }
    kyo_s[S][0] = 0;
    q.push(make_pair(0, S));
    while (q.size()) {
        int cnt = q.front().first;
        int x = q.front().second;
        q.pop();
        if (kyo_s[x][cnt % 2] < cnt)
            continue;

        cnt++;

        for (auto &i : edge[x]) {
            if (kyo_s[i][cnt % 2] > cnt) {
                kyo_s[i][cnt % 2] = cnt;
                q.push(make_pair(cnt, i));
            }
        }
    }
    kyo_g[G][0] = 0;
    q.push(make_pair(0, G));
    while (q.size()) {
        int cnt = q.front().first;
        int x = q.front().second;
        q.pop();
        if (kyo_g[x][cnt % 2] < cnt)
            continue;

        cnt++;

        for (auto &i : edge[x]) {
            if (kyo_g[i][cnt % 2] > cnt) {
                kyo_g[i][cnt % 2] = cnt;
                q.push(make_pair(cnt, i));
            }
        }
    }
    for (int i = 1; i <= N; i++) {
        if (P % 2) {
            int odd = min(kyo_s[i][0] + kyo_g[i][1], kyo_s[i][1] + kyo_g[i][0]);
            if (odd <= P) {
                ans.push_back(i);
            }
        } else {
            int even = min(kyo_s[i][0] + kyo_g[i][0], kyo_s[i][1] + kyo_g[i][1]);
            if (even <= P) {
                ans.push_back(i);
            }
        }
    }
    if (ans.size() == 0) {
        cout << -1 << endl;
        return 0;
    }
    cout << ans.size() << endl;
    for (int i = 0; i < ans.size(); i++) {
        cout << ans[i] << endl;
    }
    return 0;
}