


'''simple docstring'''





from __future__ import annotations

import math
import random






def 	UpperCAmelCase__(							_SCREAMING_SNAKE_CASE				:   int,_SCREAMING_SNAKE_CASE				:   int,_SCREAMING_SNAKE_CASE				:   int   ):






			"""simple docstring"""




			__A=  d * e - 1
			__A=  0
			__A=  0
			while p == 0:
						__A=  random.randint(2,n - 1   )
						__A=  k
						while True:
									if t % 2 == 0:
												__A=  t // 2
												__A=  (g**t) % n
												__A=  math.gcd(x - 1,_SCREAMING_SNAKE_CASE   )
												if x > 1 and y > 1:
															__A=  y
															__A=  n // y
															break  # find the correct factors
									else:
												break  # t is not divisible by 2, break and choose another g
			return sorted([p, q]   )


if __name__ == "__main__":
		import doctest

		doctest.testmod()







'''simple docstring'''





UpperCAmelCase__      =							[[0, 1, 1], [0, 0, 1], [1, 0, 0]]
class 	a__				:





			'''simple docstring'''

			def __init__(     self       : Any ,						lowerCAmelCase_       : Optional[int]  )			->		Tuple:
						__A=  name
						__A=  []
						__A=  []
			def 				lowerCAmelCase    (     self       : Any ,						lowerCAmelCase_       : Dict  )			->		Any:
						self.inbound.append(lowerCAmelCase_  )
			def 				lowerCAmelCase    (     self       : str ,						lowerCAmelCase_       : Any  )			->		List[Any]:
						self.outbound.append(lowerCAmelCase_  )

			def __repr__(     self       : int  )			->		Union[str, Any]:
						return F"""<node={self.name} inbound={self.inbound} outbound={self.outbound}>"""






def 	UpperCAmelCase__(							_SCREAMING_SNAKE_CASE				:   Any,_SCREAMING_SNAKE_CASE				:   Optional[int]=3,_SCREAMING_SNAKE_CASE				:   Dict=0.85   ):






			"""simple docstring"""




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

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

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






def 	UpperCAmelCase__(							):






			"""simple docstring"""




			__A=  list(input('Enter Names of the Nodes: '   ).split()   )

			__A=  [Node(_SCREAMING_SNAKE_CASE   ) for name in names]

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

			print('======= Nodes ======='   )
			for node in nodes:
						print(_SCREAMING_SNAKE_CASE   )

			page_rank(_SCREAMING_SNAKE_CASE   )


if __name__ == "__main__":
					main()



