



_lowerCamelCase         =	[[0, 1, 1], [0, 0, 1], [1, 0, 0]]

class    _SCREAMING_SNAKE_CASE						:





     def __init__(							self			:				List[str]  ,	UpperCamelCase			:				List[str]					)->Dict:
      __SCREAMING_SNAKE_CASE							:     List[str]							=						name
      __SCREAMING_SNAKE_CASE							:     Union[str, Any]							=						[]
      __SCREAMING_SNAKE_CASE							:     str							=						[]





     def 						__snake_case     (							self			:				str  ,	UpperCamelCase			:				Dict					)->List[Any]:
      self.inbound.append(UpperCamelCase					)





     def 						__snake_case     (							self			:				int  ,	UpperCamelCase			:				int					)->Any:
      self.outbound.append(UpperCamelCase					)






     def __repr__(							self			:				str					)->Dict:
      return F"""<node={self.name} inbound={self.inbound} outbound={self.outbound}>"""






def 						_lowerCAmelCase    (					__lowerCamelCase :  List[str]		,						__lowerCamelCase :  Dict=3		,						__lowerCamelCase :  int=0.85  ):



 """simple docstring"""





 __SCREAMING_SNAKE_CASE							:     Union[str, Any]							=						{}
 for node in nodes:
  __SCREAMING_SNAKE_CASE							:     List[Any]							=						1

 __SCREAMING_SNAKE_CASE							:     Optional[Any]							=						{}
 for node in nodes:
  __SCREAMING_SNAKE_CASE							:     str							=						len(node.outbound  )

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






def 						_lowerCAmelCase    (					):



 """simple docstring"""





 __SCREAMING_SNAKE_CASE							:     Union[str, Any]							=						list(input("Enter Names of the Nodes: "  ).split()  )

 __SCREAMING_SNAKE_CASE							:     int							=						[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()








"""simple docstring"""




from itertools import permutations

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_ = 5     ):
					if gon_side < 3 or gon_side > 5:
										raise ValueError('gon_side must be in the range [3, 5]'     )

					# Since it's 16, we know 10 is on the outer ring
					# Put the big numbers at the end so that they are never the first number
					SCREAMING_SNAKE_CASE           =      list(range(gon_side + 1,	0,	-1     )     )
					SCREAMING_SNAKE_CASE           =      list(range(gon_side + 2,	gon_side * 2 + 1     )     )

					for perm in permutations(small_numbers + big_numbers     ):
										SCREAMING_SNAKE_CASE           =      generate_gon_ring(SCREAMING_SNAKE_CASE_,	list(SCREAMING_SNAKE_CASE_     )     )
										if is_magic_gon(SCREAMING_SNAKE_CASE_     ):
															return int(''.join(str(SCREAMING_SNAKE_CASE_     ) for n in numbers     )     )

					SCREAMING_SNAKE_CASE           =      f'''Magic {gon_side}-gon ring is impossible'''
					raise ValueError(SCREAMING_SNAKE_CASE_     )

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_,	SCREAMING_SNAKE_CASE_     ):
					SCREAMING_SNAKE_CASE           =      [0] * (gon_side * 3)
					SCREAMING_SNAKE_CASE           =      perm[0:3]
					perm.append(perm[1]     )

					SCREAMING_SNAKE_CASE           =      1 if gon_side < 5 else 2

					for i in range(1,	len(SCREAMING_SNAKE_CASE_     ) // 3 + magic_number     ):
										SCREAMING_SNAKE_CASE           =      perm[2 * i + 1]
										SCREAMING_SNAKE_CASE           =      result[3 * i - 1]
										SCREAMING_SNAKE_CASE           =      perm[2 * i + 2]

					return result

def     UpperCamelCase_    (						SCREAMING_SNAKE_CASE_     ):
					if len(SCREAMING_SNAKE_CASE_     ) % 3 != 0:
										raise ValueError('a gon ring should have a length that is a multiple of 3'     )

					if min(numbers[::3]     ) != numbers[0]:
										return False

					SCREAMING_SNAKE_CASE           =      sum(numbers[:3]     )

					return all(sum(numbers[i : i + 3]     ) == total for i in range(3,	len(SCREAMING_SNAKE_CASE_     ),	3     )     )


if __name__ == "__main__":
	print(solution())
