






from __future__ import annotations






def        lowerCamelCase__   (					__lowerCamelCase    :  list[int | float]	):
  if len(__lowerCamelCase	) == 0:
    raise ValueError("""find_max() arg is an empty sequence"""	)
  __UpperCAmelCase							:			Tuple     =						nums[0]
  for x in nums:
    if x > max_num:
      __UpperCAmelCase							:			str     =						x
  return max_num


if __name__ == "__main__":
       import doctest

       doctest.testmod(verbose=True)










a	: List[str]      =				[[0, 1, 1], [0, 0, 1], [1, 0, 0]]
class 					a					:



      """simple docstring"""


      def __init__(   self      :    Union[str, Any]	,   __lowercase      :    List[str]      )							->   Optional[int]:
        __UpperCAmelCase							:			Dict     =						name
        __UpperCAmelCase							:			Optional[Any]     =						[]
        __UpperCAmelCase							:			List[Any]     =						[]
      def 			UpperCAmelCase   (   self      :    str	,   __lowercase      :    int      )							->   str:
        self.inbound.append(__lowercase      )
      def 			UpperCAmelCase   (   self      :    List[Any]	,   __lowercase      :    Optional[Any]      )							->   List[str]:
        self.outbound.append(__lowercase      )




      def __repr__(   self      :    Any      )							->   int:
        return f"""<node={self.name} inbound={self.inbound} outbound={self.outbound}>"""






def        lowerCamelCase__   (					__lowerCamelCase    :  Dict						,	__lowerCamelCase    :  str=3						,	__lowerCamelCase    :  int=0.8_5	):
  __UpperCAmelCase							:			Optional[int]     =						{}
  for node in nodes:
    __UpperCAmelCase							:			str     =						1

  __UpperCAmelCase							:			Union[str, Any]     =						{}
  for node in nodes:
    __UpperCAmelCase							:			Dict     =						len(node.outbound	)

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






def        lowerCamelCase__   (					):
  __UpperCAmelCase							:			Optional[Any]     =						list(input("""Enter Names of the Nodes: """	).split()	)

  __UpperCAmelCase							:			Dict     =						[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()


