#include <bits/stdc++.h>
using namespace std;
using ll = long long;
template <class T> using vec = vector<T>;
template <class T> using vvec = vector<vec<T>>;
template <class T> using vvvec = vector<vvec<T>>;

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N,M,P;
    cin >> N >> M >> P;
    int S,T;
    cin >> S >> T;
    S--; T--;
    vvec<int> g(N);
    for(int i=0;i<M;i++){
        int a,b;
        cin >> a >> b;
        a--; b--;
        g[a].push_back(b);
        g[b].push_back(a);
    }
    int inf = 1e9+5;
    vvec<int> distS(N,vec<int>(2,inf)),distT(N,vec<int>(2,inf));
    
    auto bfs = [&](int s,vvec<int>& dist)->void{
        queue<pair<int,int>> Q;
        dist[s][0] = 0;
        Q.push({s,0});
        while(!Q.empty()){
            auto [cur,p] = Q.front(); Q.pop();
            for(auto& to:g[cur]){
                if(dist[to][p^1]==inf){
                    dist[to][p^1] = dist[cur][p]+1;
                    Q.push({to,p^1});
                }
            }
        }
    };

    bfs(S,distS);
    bfs(T,distT);

    vec<int> ans;
    for(int i=0;i<N;i++) for(int a=0;a<2;a++) for(int b=0;b<2;b++) if((a+b)%2==P%2){
        if(distS[i][a]+distT[i][b]<=P) ans.push_back(i);
    }
    if(ans.empty()){
        cout << -1 << "\n";
        return 0;
    }
    ans.erase(unique(ans.begin(),ans.end()),ans.end());
    cout << ans.size() << "\n";
    for(auto& x:ans) cout << x+1 << "\n";
}