#include <bits/stdc++.h>
using namespace std;
using Graph = vector<vector<int>>;

int d[2][101010];
int d2[2][101010];

void dfs(Graph &g, int c, int v){
	for (int i : g[v]){
		if (d[(c + 1) % 2][i] > c + 1){
			d[(c + 1) % 2][i] = c + 1;
			dfs(g, c + 1, i);
		}
	}
}

void dfs2(Graph &g, int c, int v){
	for (int i : g[v]){
		if (d2[(c + 1) % 2][i] > c + 1){
			d2[(c + 1) % 2][i] = c + 1;
			dfs2(g, c + 1, i);
		}
	}
}

int main() {
	int n, m, p;
	cin >> n >> m >> p;
	int S, G;
	cin >> S >> G;
	S--;
	G--;
	Graph g(n);
	for (int i = 0; i < m; i++){
		int u, v;
		cin >> u >> v;
		u--;
		v--;
		g[u].push_back(v);
		g[v].push_back(u);
	}
	for (int i = 0; i < 2; i++){
		for (int j = 0; j < n; j++){
			d[i][j] = 1 << 30;
			d2[i][j] = 1 << 30;
		}
	}
	d[0][S] = 0;
	dfs(g, 0, S);
	d2[0][G] = 0;
	dfs2(g, 0, G);
	set<int> ans;
	for (int i = 0; i < n; i++){
		for (int j = 0; j < 2; j++){
			for (int k = 0; k < 2; k++){
				if (d[j][i] == (1 << 30) or d2[k][i] == (1 << 30)){
					continue;
				}
				int c = p - d[j][i] - d2[k][i];
				if (c >= 0 and c % 2 == 0){
					ans.insert(i);
				}
			}
		}
	}
	if (ans.empty()){
		cout << -1 << endl;
		return 0;
	}
	cout << ans.size() << endl;
	for (int i : ans){
		cout << i + 1 << endl;
	}
}