code: 
  
  
  '''simple docstring'''
  
  lowerCAmelCase   :Optional[int]								=    [[0, 1, 1], [0, 0, 1], [1, 0, 0]]
  class _lowerCamelCase :
  
  
  
  		'''simple docstring'''
  
  
  
  
  
  
  
  		def __init__(      self	:		Any						,  _A	:		List[Any]    )						->				Union[str, Any]:
  			__magic_name__ :					Union[str, Any]  			=  name
  			__magic_name__ :					Dict  			=  []
  			__magic_name__ :					Any  			=  []
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		Tuple						,  _A	:		Optional[Any]    )						->				Dict:
  			self.inbound.append(_A    )
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		Dict						,  _A	:		Optional[int]    )						->				Optional[Any]:
  			self.outbound.append(_A    )
  
  
  
  
  
  
  
  		def __repr__(      self	:		List[Any]    )						->				Tuple:
  			return F'<node={self.name} inbound={self.inbound} outbound={self.outbound}>'
  
  
  
  
  
  
  
  def lowerCamelCase    (    lowerCAmelCase       :			str	,	lowerCAmelCase       :			Any=3	,	lowerCAmelCase       :			List[str]=0.85	):
  
  
  
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  
  	__magic_name__ :					Any  			=  {}
  	for node in nodes:
  		__magic_name__ :					int  			=  1
  
  	__magic_name__ :					str  			=  {}
  	for node in nodes:
  		__magic_name__ :					List[str]  			=  len(node.outbound	)
  
  	for i in range(lowerCAmelCase	):
  		print(f'======= Iteration {i + 1} ======='	)
  		for _, node in enumerate(lowerCAmelCase	):
  			__magic_name__ :					Tuple  			=  (1 - d) + d * sum(
  			    ranks[ib] / outbounds[ib] for ib in node.inbound	)
  		print(lowerCAmelCase	)
  
  
  
  
  
  def lowerCamelCase    (    ):
  
  
  
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  
  	__magic_name__ :					Union[str, Any]  			=  list(input('Enter Names of the Nodes: '	).split()	)
  
  	__magic_name__ :					Optional[Any]  			=  [Node(lowerCAmelCase	) for name in names]
  
  	for ri, row in enumerate(lowerCAmelCase	):
  		for ci, col in enumerate(lowerCAmelCase	):
  			if col == 1:
  				nodes[ci].add_inbound(names[ri]	)
  				nodes[ri].add_outbound(names[ci]	)
  
  	print('======= Nodes ======='	)
  	for node in nodes:
  		print(lowerCAmelCase	)
  
  	page_rank(lowerCAmelCase	)
  
  
  if __name__ == "__main__":
  							main()
style_context: 
  
  
  '''simple docstring'''
  
  from __future__ import annotations
  
  
  
  
  
  def lowerCamelCase    (    lowerCAmelCase       :			list[int | float]	,	lowerCAmelCase       :			int	,	lowerCAmelCase       :			int	):
  
  
  
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  
  	if len(lowerCAmelCase	) == 0:
  		raise ValueError('find_min() arg is an empty sequence'	)
  	if (
  	    left >= len(lowerCAmelCase	)
  	    or left < -len(lowerCAmelCase	)
  	    or right >= len(lowerCAmelCase	)
  	    or right < -len(lowerCAmelCase	)
  	):
  		raise IndexError('list index out of range'	)
  	if left == right:
  		return nums[left]
  	__magic_name__ :					Tuple  			=  (left + right) >> 1  # the middle
  	__magic_name__ :					str  			=  find_min(lowerCAmelCase	,	lowerCAmelCase	,	lowerCAmelCase	)  # find min in range[left, mid]
  	__magic_name__ :					Optional[Any]  			=  find_min(lowerCAmelCase	,	mid + 1	,	lowerCAmelCase	)  # find min in range[mid + 1, right]
  
  	return left_min if left_min <= right_min else right_min
  
  
  if __name__ == "__main__":
  							import doctest
  
  							doctest.testmod(verbose=True)