from collections import deque
import sys
input = sys.stdin.buffer.readline
sys.setrecursionlimit(10 ** 7)
inf = 10**18

N, M, P = map(int, input().split())
S, G = map(int, input().split())
S -= 1
G -= 1
edge = [[] for _ in range(2 * N)]  # [e,e,e,e, .., o,o,o,]
for _ in range(M):
    a, b = map(int, input().split())
    a -= 1
    b -= 1
    edge[a].append(b + N)
    edge[b].append(a + N)
    edge[a + N].append(b)
    edge[b + N].append(a)


def BFS(start):
    dist = [inf] * (2 * N)
    dist[start] = 0
    que = deque([start])
    while que:
        s = que.popleft()
        ds = dist[s]
        for t in edge[s]:
            if dist[t] > ds + 1:
                dist[t] = ds + 1
                que.append(t)
    return dist


stoi = BFS(S)
gtoi = BFS(G)
cnt = 0
node = []
if P % 2 == 0:
    for i in range(N):
        if stoi[i] + gtoi[i] <= P:
            cnt += 1
            node.append(i + 1)
        elif stoi[i+N] + gtoi[i+N] <= P:
            cnt += 1
            node.append(i + 1)
else:
    for i in range(N):
        if stoi[i] + gtoi[i+N] <= P:
            cnt += 1
            node.append(i + 1)
        elif stoi[i+N] + gtoi[i] <= P:
            cnt += 1
            node.append(i + 1)

if not cnt:
    print(-1)
else:
    print(cnt)
    print(*node, sep="\n")