class Dijkstra():
    class Edge():
        def __init__(self, _to, _cost):
            self.to = _to
            self.cost = _cost

    def __init__(self, V):
        self.G = [[] for i in range(V)]
        self._E = 0
        self._V = V

    @property
    def E(self):
        return self._E

    @property
    def V(self):
        return self._V

    def add(self, _from, _to, _cost):
        self.G[_from].append(self.Edge(_to, _cost))
        self._E += 1

    def shortest_path(self, s):
        import heapq
        que = []
        d = [10**15] * self.V
        d[s] = 0
        heapq.heappush(que, (0, s))

        while len(que) != 0:
            cost, v = heapq.heappop(que)
            if d[v] < cost: continue

            for i in range(len(self.G[v])):
                e = self.G[v][i]
                if d[e.to] > d[v] + e.cost:
                    d[e.to] = d[v] + e.cost
                    heapq.heappush(que, (d[e.to], e.to))
        return d

import sys

input=sys.stdin.readline

N,M,P=map(int,input().split())
S,G=map(int,input().split())
S-=1;G-=1

graph=Dijkstra(2*N)
for _ in range(M):
    u,v=map(int,input().split())
    u-=1;v-=1
    graph.add(2*u,2*v+1,1)
    graph.add(2*u+1,2*v,1)
    graph.add(2*v,2*u+1,1)
    graph.add(2*v+1,2*u,1)

start=graph.shortest_path(2*S)
goal=graph.shortest_path(2*G)

res=[]
for i in range(N):
    if P%2:
        d1=start[2*i]
        d2=goal[2*i+1]
        d3=start[2*i+1]
        d4=goal[2*i]
        if d1+d2<=P or d3+d4<=P:
            res.append(i)
    else:
        d1=start[2*i]
        d2=goal[2*i+1]
        d3=start[2*i+1]
        d4=goal[2*i]
        if d1+d4<=P or d2+d4<=P:
            res.append(i)

res.sort()

if res:
    print(len(res))
    for v in res:
        print(v+1)
else:
    print(-1)