from collections import defaultdict, deque

n, m, p = map(int, input().split())
s, g = map(int, input().split())
s -= 1
g -= 1
G = defaultdict(list)
for _ in range(m):
    u, v = map(int, input().split())
    u -= 1
    v -= 1
    G[u].append(v)
    G[v].append(u)

INF = 10**18
D_s = [INF for _ in range(n)]
D_s[s] = 0
Que = deque([s])
while Que:
    cp = Que.popleft()
    cc = D_s[cp]
    nc = cc + 1
    for np in G[cp]:
        if nc >= D_s[np]:
            continue
        D_s[np] = nc
        Que.append(np)
D_g = [INF for _ in range(n)]
D_g[g] = 0
Que = deque([g])
while Que:
    cp = Que.popleft()
    cc = D_g[cp]
    nc = cc + 1
    for np in G[cp]:
        if nc >= D_g[np]:
            continue
        D_g[np] = nc
        Que.append(np)
ans = []
for i in range(n):
    res = D_s[i] + D_g[i]
    dif = p - res
    if dif >= 0 and dif % 2 == 0:
        ans.append(i + 1)
if len(ans) == 0:
    print(-1)
else:
    print(len(ans))
    print(*ans, sep='\n')