
import qiskit
from qiskit.providers import Backend







def 				A__    (  lowerCamelCase   ,			lowerCamelCase  )     ->		tuple[qiskit.QuantumCircuit, str, str]:
				UpperCamelCase_,      UpperCamelCase_:							Tuple		=  bin(lowerCamelCase  )[2:], bin(lowerCamelCase  )[2:]  # Remove leading '0b'

				# Ensure that both strings are of the same length
				if len(lowerCamelCase  ) > len(lowerCamelCase  ):
								UpperCamelCase_:							Tuple		=  y.zfill(len(lowerCamelCase  )  )
				else:
								UpperCamelCase_:							Union[str, Any]		=  x.zfill(len(lowerCamelCase  )  )

				# We need (3 * number of bits in the larger number)+1 qBits
				# The second parameter is the number of classical registers, to measure the result
				UpperCamelCase_:							Union[str, Any]		=  qiskit.QuantumCircuit((len(lowerCamelCase  ) * 3) + 1   ,			len(lowerCamelCase  ) + 1  )

				# We are essentially "not-ing" the bits that are 1
				# Reversed because it's easier to perform ops on more significant bits
				for i in range(len(lowerCamelCase  )  ):
								if x[::-1][i] == "1":
												circuit.x(lowerCamelCase  )
				for j in range(len(lowerCamelCase  )  ):
								if y[::-1][j] == "1":
												circuit.x(len(lowerCamelCase  ) + j  )

				return circuit, x, y







def 				A__    (  lowerCamelCase   ,			lowerCamelCase   ,			lowerCamelCase   ,			lowerCamelCase   ,			lowerCamelCase   ,			)     ->		Any:
				circuit.ccx(lowerCamelCase   ,			lowerCamelCase   ,			lowerCamelCase  )
				circuit.cx(lowerCamelCase   ,			lowerCamelCase  )
				circuit.ccx(lowerCamelCase   ,			lowerCamelCase   ,			lowerCamelCase  )
				circuit.cx(lowerCamelCase   ,			lowerCamelCase  )
				circuit.cx(lowerCamelCase   ,			lowerCamelCase  )







def 				A__    (  lowerCamelCase   ,			lowerCamelCase   ,			lowerCamelCase = qiskit.Aer.get_backend("""aer_simulator"""  )   ,			)     ->		int:

				if vala < 0 or vala < 0:
								raise ValueError("""Both Integers must be positive!"""  )

				# Store the Integers
				UpperCamelCase_,      UpperCamelCase_,      UpperCamelCase_:							Dict		=  store_two_classics(lowerCamelCase   ,			lowerCamelCase  )
				for i in range(len(lowerCamelCase  )  ):
								full_adder(lowerCamelCase   ,			lowerCamelCase   ,			len(lowerCamelCase  ) + i   ,			len(lowerCamelCase  ) + len(lowerCamelCase  ) + i   ,			len(lowerCamelCase  ) + len(lowerCamelCase  ) + i + 1  )
								circuit.barrier()  # Optional, just for aesthetics

				# Measure the resultant qBits
				for i in range(len(lowerCamelCase  ) + 1  ):
								circuit.measure([(len(lowerCamelCase  ) * 2) + i]   ,			[i]  )

				UpperCamelCase_:							Dict		=  qiskit.execute(lowerCamelCase   ,			lowerCamelCase   ,			shots=1  ).result()

				# The result is in binary. Convert it back to int
				return int(list(res.get_counts()  )[0]   ,			2  )


if __name__ == "__main__":
							import doctest

							doctest.testmod()












'''simple docstring'''


def 		snake_case_    (UpperCamelCase       :  List[str] ,						UpperCamelCase       :  List[Any] ,						UpperCamelCase       :  Union[str, Any]      ):





							'''simple docstring'''


							_a	     =				index
							_a	     =				2 * index + 1
							_a	     =				2 * index + 2
							if left_index < heap_size and unsorted[left_index] > unsorted[largest]:
														_a	     =				left_index

							if right_index < heap_size and unsorted[right_index] > unsorted[largest]:
														_a	     =				right_index

							if largest != index:
														_a     ,							_a	     =				unsorted[index], unsorted[largest]
														heapify(UpperCamelCase ,						UpperCamelCase ,						UpperCamelCase      )
def 		snake_case_    (UpperCamelCase       :  Union[str, Any]      ):





							'''simple docstring'''


							_a	     =				len(UpperCamelCase      )
							for i in range(n // 2 - 1 ,						-1 ,						-1      ):
														heapify(UpperCamelCase ,						UpperCamelCase ,						UpperCamelCase      )
							for i in range(n - 1 ,						0 ,						-1      ):
														_a     ,							_a	     =				unsorted[i], unsorted[0]
														heapify(UpperCamelCase ,						0 ,						UpperCamelCase      )
							return unsorted


if __name__ == "__main__":
				_snake_case      :      int   							=		input('Enter numbers separated by a comma:\n').strip()
				_snake_case      :      Optional[Any]   							=		[int(item) for item in user_input.split(',')]
				print(heap_sort(unsorted))

