def cond1(A: np.ndarray, alpha: np.array) -> List[np.array]:
"""
生成满足条件的 betas
:param A: 矩阵 n*n
:param alpha: 行向量 1*n
:return: 是否可以返回一个符合条件的beta，若存在则返回所有beta的list
"""
assert A.shape[0] == A.shape[1]
assert A.shape[0] == alpha.shape[0]
n = A.shape[0]
zero = np.zeros((1, n), dtype=bool)[0]
one = np.ones((1, n), dtype=bool)[0]
if alpha.__eq__(zero).all():
return allSubLists(one)
else:
id_rows = list()
for idx, value in enumerate(alpha):
if value:
id_rows.append(idx)
tmp = np.ones((1, n), dtype=bool)[0]
for i in id_rows:
tmp = tmp.__and__(A[i])
return allSubLists(tmp)
