mod = 1000000007 eps = 10**-9 def main(): import sys from collections import deque input = sys.stdin.buffer.readline N, M, P = map(int, input().split()) S, G = map(int, input().split()) adj = [[] for _ in range(N+1)] for _ in range(M): a, b = map(int, input().split()) adj[a].append(b) adj[b].append(a) def dist(v0): que = deque() que.append(v0) seen = [10**10] * (N+1) seen[v0] = 0 par = [0] * (N+1) child = [[] for _ in range(N+1)] seq = [] V = set() while que: v = que.popleft() seq.append(v) for u in adj[v]: if seen[u] == 10**10: seen[u] = seen[v] + 1 par[u] = v child[v].append(u) que.append(u) elif seen[u] == seen[v]: V.add(u) V.add(v) seq.reverse() add = [0] * (N+1) for v in V: add[v] = 1 que.append(v) while que: vv = que.popleft() for u in child[vv]: que.append(u) add[u] = 1 for v in seq: if add[v] == 0: val = 10**10 for u in child[v]: val = min(val, add[u] + 2) add[v] = val seq.reverse() for v in seq: for u in child[v]: add[u] = min(add[u], add[v]) return seen, add ds, adds = dist(S) dg, addg = dist(G) ans = [] for v in range(1, N+1): if ds[v] + dg[v] <= P: if (ds[v] + dg[v])%2 == P%2: ans.append(v) else: if ds[v] + dg[v] + min(adds[v], addg[v]) <= P: ans.append(v) if ans: print(len(ans)) for a in ans: print(a) else: print(-1) if __name__ == '__main__': main()