



from __future__ import annotations






def        a( A			:       Any					,	A			:       int			)						->			Optional[int]:
					"""simple docstring"""





					a   	=  0
					a   	=  len(A			) - 1
					while left <= right:
										a   	=  (left + right) // 2
										if left == right:
															if sorted_list[middle] < item:
																				a   	=  middle + 1
															break
										elif sorted_list[middle] < item:
															a   	=  middle + 1
										else:
															a   	=  middle - 1
					sorted_list.insert(A					,	A			)
					return sorted_list






def        a( A			:       Tuple					,	A			:       str			)						->			int:
					"""simple docstring"""





					a   	=  []
					while left and right:
										if left[0][0] < right[0][0]:
															result.append(left.pop(0			)			)
										else:
															result.append(right.pop(0			)			)
					return result + left + right






def        a( A			:       List[Any]			)						->			Dict:
					"""simple docstring"""





					a   	=  len(A			)
					if length <= 1:
										return list_ad
					a   	=  length // 2
					return merge(sortlist_ad(list_ad[:middle]			)					,	sortlist_ad(list_ad[middle:]			)			)






def        a( A			:       list[int]			)						->			list[int]:
					"""simple docstring"""





					if len(A			) <= 1:
										return collection
					a   	=  []
					a   	=  False
					for i in range(0					,	len(A			)					,	2			):
										if i == len(A			) - 1:
															a   	=  True
										else:
															if collection[i] < collection[i + 1]:
																				two_paired_list.append([collection[i], collection[i + 1]]			)
															else:
																				two_paired_list.append([collection[i + 1], collection[i]]			)
					a   	=  sortlist_ad(A			)
					a   	=  [i[0] for i in sorted_list_ad]
					result.append(sorted_list_ad[-1][1]			)
					if has_last_odd_item:
										a   	=  collection[-1]
										a   	=  binary_search_insertion(A					,	A			)
					a   	=  False
					for i in range(len(A			) - 1			):
										if result[i] == collection[-1] and has_last_odd_item:
															a   	=  True
										a   	=  sorted_list_ad[i][1]
										# If last_odd_item is inserted before the item's index,
										# you should forward index one more.
										if is_last_odd_item_inserted_before_this_index:
															a   	=  result[: i + 2] + binary_search_insertion(result[i + 2 :]					,	A			)
										else:
															a   	=  result[: i + 1] + binary_search_insertion(result[i + 1 :]					,	A			)

					return result


if __name__ == "__main__":
				_lowercase:					Tuple      =						input("Enter numbers separated by a comma:\n").strip()
				_lowercase:					str      =						[int(item) for item in user_input.split(",")]
				print(merge_insertion_sort(unsorted))





_lowercase:					Optional[Any]      =						[[0, 1, 1], [0, 0, 1], [1, 0, 0]]



class       _lowercase				:





	"""simple docstring"""




	def __init__(self						,			lowerCamelCase_						):
						"""simple docstring"""

						a   	=  name
						a   	=  []
						a   	=  []




	def 	UpperCamelCase_			(self						,			lowerCamelCase_						):
						"""simple docstring"""

						self.inbound.append(lowerCamelCase_						)




	def 	UpperCamelCase_			(self						,			lowerCamelCase_						):
						"""simple docstring"""

						self.outbound.append(lowerCamelCase_						)




	def __repr__(self						):
						"""simple docstring"""

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






def        a( A			:       Optional[Any]					,	A			:       Optional[int]=3					,	A			:       str=0.85			)						->			Optional[Any]:
					"""simple docstring"""





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

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

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






def        a( )						->			List[Any]:
					"""simple docstring"""





					a   	=  list(input("Enter Names of the Nodes: "			).split()			)

					a   	=  [Node(A			) for name in names]

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

					print("======= Nodes ======="			)
					for node in nodes:
										print(A			)

					page_rank(A			)


if __name__ == "__main__":
				main()
