





_lowerCamelCase					:				Tuple  							=					[[0, 1, 1], [0, 0, 1], [1, 0, 0]]


class 						lowerCamelCase   :







							"""simple docstring"""




							def __init__(					self	:     int, _UpperCAmelCase	:     int						)      -> str:





														"""simple docstring"""
														SCREAMING_SNAKE_CASE__   :			str      =						name
														SCREAMING_SNAKE_CASE__   :			Dict      =						[]
														SCREAMING_SNAKE_CASE__   :			Tuple      =						[]






							def 					A_	(					self	:     Optional[int], _UpperCAmelCase	:     Optional[int]						)      -> Tuple:





														"""simple docstring"""
														self.inbound.append(snake_case__						)






							def 					A_	(					self	:     Optional[Any], _UpperCAmelCase	:     List[Any]						)      -> Union[str, Any]:





														"""simple docstring"""
														self.outbound.append(snake_case__						)






							def __repr__(					self	:     Tuple						)      -> Optional[Any]:





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




def _a					(  SCREAMING_SNAKE_CASE__			:  Optional[int] ,      SCREAMING_SNAKE_CASE__			:  Tuple=3 ,      SCREAMING_SNAKE_CASE__			:  Dict=0.8_5   )       ->				int:

							'''simple docstring'''






							SCREAMING_SNAKE_CASE__   :			List[str]      =						{}
							for node in nodes:
														SCREAMING_SNAKE_CASE__   :			List[Any]      =						1

							SCREAMING_SNAKE_CASE__   :			Tuple      =						{}
							for node in nodes:
														SCREAMING_SNAKE_CASE__   :			List[Any]      =						len(node.outbound   )

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




def _a					(  )       ->				Union[str, Any]:

							'''simple docstring'''






							SCREAMING_SNAKE_CASE__   :			List[Any]      =						list(input("Enter Names of the Nodes: "   ).split()   )

							SCREAMING_SNAKE_CASE__   :			Any      =						[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()














"""simple docstring"""



def      SCREAMING_SNAKE_CASE__    (   snake_case    :      list       , snake_case    :      int       , snake_case    :      int							)->						None:






     '''simple docstring'''



     if right <= left:
          return
     UpperCAmelCase__		:  str				=				left
     UpperCAmelCase__		:  List[str]				=				right
     UpperCAmelCase__		:  List[Any]				=				sorting[left]
     while i <= b:
          if sorting[i] < pivot:
               UpperCAmelCase__				,							UpperCAmelCase__		:  List[str]				=				sorting[i], sorting[a]
               a += 1
               i += 1
          elif sorting[i] > pivot:
               UpperCAmelCase__				,							UpperCAmelCase__		:  Optional[int]				=				sorting[i], sorting[b]
               b -= 1
          else:
               i += 1
     quick_sort_apartition(snake_case       , snake_case       , a - 1							)
     quick_sort_apartition(snake_case       , b + 1       , snake_case							)


def      SCREAMING_SNAKE_CASE__    (   snake_case    :      list       , snake_case    :      int       , snake_case    :      int							)->						None:






     '''simple docstring'''



     if left < right:
          UpperCAmelCase__		:  int				=				lomuto_partition(snake_case       , snake_case       , snake_case							)
          quick_sort_lomuto_partition(snake_case       , snake_case       , pivot_index - 1							)
          quick_sort_lomuto_partition(snake_case       , pivot_index + 1       , snake_case							)


def      SCREAMING_SNAKE_CASE__    (   snake_case    :      list       , snake_case    :      int       , snake_case    :      int							)->						int:






     '''simple docstring'''



     UpperCAmelCase__		:  Union[str, Any]				=				sorting[right]
     UpperCAmelCase__		:  Optional[Any]				=				left
     for i in range(snake_case       , snake_case							):
          if sorting[i] < pivot:
               UpperCAmelCase__				,							UpperCAmelCase__		:  List[Any]				=				sorting[i], sorting[store_index]
               store_index += 1
     UpperCAmelCase__				,							UpperCAmelCase__		:  List[Any]				=				sorting[store_index], sorting[right]
     return store_index


def      SCREAMING_SNAKE_CASE__    (   snake_case    :      list							)->						list:






     '''simple docstring'''



     if len(snake_case							) <= 1:
          return sorting
     return (
         three_way_radix_quicksort([i for i in sorting if i < sorting[0]]							)
         + [i for i in sorting if i == sorting[0]]
         + three_way_radix_quicksort([i for i in sorting if i > sorting[0]]							)
     )


if __name__ == "__main__":
 import doctest

 doctest.testmod(verbose=True)

 _lowerCAmelCase     :     Optional[int]            =	input("""Enter numbers separated by a comma:\n""").strip()
 _lowerCAmelCase     :     str            =	[int(item) for item in user_input.split(""",""")]
 quick_sort_apartition(unsorted, 0, len(unsorted) - 1)
 print(unsorted)


