



def        a( A			:       list[int]			)						->			tuple[int, int]:
					"""simple docstring"""





					if len(A			) == 1:
										return a[0], a[0]
					else:
										# split A into half.
										a   	=  a[: len(A			) // 2]
										a   	=  a[len(A			) // 2 :]

										# 2 sub problems, 1/2 of original size.
										a	,							a   	=  max_difference(A			)
										a	,							a   	=  max_difference(A			)

										# get min of first and max of second
										# linear time
										a   	=  min(A			)
										a   	=  max(A			)

										# 3 cases, either (small1, big1),
										# (min_first, max_second), (small2, big2)
										# constant comparisons
										if biga - smalla > max_second - min_first and biga - smalla > biga - smalla:
															return smalla, biga
										elif biga - smalla > max_second - min_first:
															return smalla, biga
										else:
															return min_first, max_second


if __name__ == "__main__":
				import doctest

				doctest.testmod()





_lowercase:					Optional[Any]      =						[[0, 1, 1], [0, 0, 1], [1, 0, 0]]



class       _lowercase				:





	"""simple docstring"""




	def __init__(self						,			lowerCamelCase_						):
						"""simple docstring"""

						a   	=  name
						a   	=  []
						a   	=  []




	def 	UpperCamelCase_			(self						,			lowerCamelCase_						):
						"""simple docstring"""

						self.inbound.append(lowerCamelCase_						)




	def 	UpperCamelCase_			(self						,			lowerCamelCase_						):
						"""simple docstring"""

						self.outbound.append(lowerCamelCase_						)




	def __repr__(self						):
						"""simple docstring"""

						return F'''<node={self.name} inbound={self.inbound} outbound={self.outbound}>'''






def        a( A			:       Optional[Any]					,	A			:       Optional[int]=3					,	A			:       str=0.85			)						->			Optional[Any]:
					"""simple docstring"""





					a   	=  {}
					for node in nodes:
										a   	=  1

					a   	=  {}
					for node in nodes:
										a   	=  len(node.outbound			)

					for i in range(A			):
										print(f'''======= Iteration {i + 1} ======='''			)
										for _, node in enumerate(A			):
															a   	=  (1 - d) + d * sum(
															    ranks[ib] / outbounds[ib] for ib in node.inbound			)
										print(A			)






def        a( )						->			List[Any]:
					"""simple docstring"""





					a   	=  list(input("Enter Names of the Nodes: "			).split()			)

					a   	=  [Node(A			) for name in names]

					for ri, row in enumerate(A			):
										for ci, col in enumerate(A			):
															if col == 1:
																				nodes[ci].add_inbound(names[ri]			)
																				nodes[ri].add_outbound(names[ci]			)

					print("======= Nodes ======="			)
					for node in nodes:
										print(A			)

					page_rank(A			)


if __name__ == "__main__":
				main()
