
"""simple docstring"""




from __future__ import annotations

from bisect import bisect_left
from functools import total_ordering
from heapq import merge


@total_ordering
class 			__magic_name__       (       SCREAMING_SNAKE_CASE__ ):
       def __lt__(     self ,				A_       )     ->	int:





         """simple docstring"""




         return self[-1] < other[-1]



       def __eq__(     self ,				A_       )     ->	Any:





         """simple docstring"""




         return self[-1] == other[-1]




def  _lowerCAmelCase		(		_UpperCamelCase						):






  """simple docstring"""



  _lowercase:			list[Stack]       =     []
  # sort into stacks
  for element in collection:
    _lowercase:			List[str]       =     Stack([element]						)
    _lowercase:			int       =     bisect_left(_UpperCamelCase ,				_UpperCamelCase						)
    if i != len(_UpperCamelCase						):
      stacks[i].append(_UpperCamelCase						)
    else:
      stacks.append(_UpperCamelCase						)

    # use a heap-based merge to merge stack efficiently
  _lowercase:			Tuple       =     merge(*(reversed(_UpperCamelCase						) for stack in stacks)						)
  return collection


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


"""simple docstring"""




import qiskit




def  _lowerCAmelCase		(		_UpperCamelCase ,				_UpperCamelCase						):






  """simple docstring"""



  _lowercase:			Dict       =     qiskit.Aer.get_backend('''aer_simulator'''						)

  # Create a Quantum Circuit acting on the q register
  _lowercase:			str       =     qiskit.QuantumCircuit(_UpperCamelCase ,				_UpperCamelCase						)

  # Apply X (NOT) Gate to Qubits 0 & 1
  circuit.x(0						)
  circuit.x(1						)

  # Map the quantum measurement to the classical bits
  circuit.measure([0, 1] ,				[0, 1]						)

  # Execute the circuit on the qasm simulator
  _lowercase:			Tuple       =     qiskit.execute(_UpperCamelCase ,				_UpperCamelCase ,				shots=1_000						)

  # Return the histogram data of the results of the experiment.
  return job.result().get_counts(_UpperCamelCase						)


if __name__ == "__main__":
  A__   :					Optional[int]							=   single_qubit_measure(2, 2)
  print(f"""Total count for various states are: {counts}""")
