
"""simple docstring"""





import math

import numpy as np
import qiskit
from qiskit import Aer, ClassicalRegister, QuantumCircuit, QuantumRegister, execute



def 				lowerCamelCase__		(      __snake_case = 3     )							->		qiskit.result.counts.Counts:


     """simple docstring"""





     if isinstance(SCREAMING_SNAKE_CASE_,					SCREAMING_SNAKE_CASE_     ):
          raise TypeError('''number of qubits must be a integer.'''     )
     if number_of_qubits <= 0:
          raise ValueError('''number of qubits must be > 0.'''     )
     if math.floor(SCREAMING_SNAKE_CASE_     ) != number_of_qubits:
          raise ValueError('''number of qubits must be exact integer.'''     )
     if number_of_qubits > 10:
          raise ValueError('''number of qubits too large to simulate(>10).'''     )

     _UpperCamelCase										=  QuantumRegister(SCREAMING_SNAKE_CASE_,					'''qr'''     )
     _UpperCamelCase										=  ClassicalRegister(SCREAMING_SNAKE_CASE_,					'''cr'''     )

     _UpperCamelCase										=  QuantumCircuit(SCREAMING_SNAKE_CASE_,					SCREAMING_SNAKE_CASE_     )

     _UpperCamelCase										=  number_of_qubits

     for i in range(SCREAMING_SNAKE_CASE_     ):
          quantum_circuit.h(number_of_qubits - i - 1     )
          counter -= 1
          for j in range(SCREAMING_SNAKE_CASE_     ):
               quantum_circuit.cp(np.pi / 2 ** (counter - j),					SCREAMING_SNAKE_CASE_,					SCREAMING_SNAKE_CASE_     )

     for k in range(number_of_qubits // 2     ):
          quantum_circuit.swap(SCREAMING_SNAKE_CASE_,					number_of_qubits - k - 1     )

     # measure all the qubits
     quantum_circuit.measure(SCREAMING_SNAKE_CASE_,					SCREAMING_SNAKE_CASE_     )
     # simulate with 10000 shots
     _UpperCamelCase										=  Aer.get_backend('''qasm_simulator'''     )
     _UpperCamelCase										=  execute(SCREAMING_SNAKE_CASE_,					SCREAMING_SNAKE_CASE_,					shots=1_00_00     )

     return job.result().get_counts(SCREAMING_SNAKE_CASE_     )


if __name__ == "__main__":
    print(
        F"""Total count for quantum fourier transform state is: \
    {quantum_fourier_transform(3)}"""
    )








"""simple docstring"""





from __future__ import annotations



def 				lowerCamelCase__		(      __snake_case,					__snake_case     )							->		Optional[int]:


					"""simple docstring"""





					if len(__snake_case     ) <= 1 or n <= 1:
										return

					insert_next(__snake_case,					n - 1     )
					rec_insertion_sort(__snake_case,					n - 1     )



def 				lowerCamelCase__		(      __snake_case,					__snake_case     )							->		Dict:


					"""simple docstring"""





					if index >= len(__snake_case     ) or collection[index - 1] <= collection[index]:
										return

					# Swaps adjacent elements since they are not in ascending order
					_UpperCamelCase			,  _UpperCamelCase										=  (
					    collection[index],
					    collection[index - 1],
					)

					insert_next(__snake_case,					index + 1     )


if __name__ == "__main__":
				_a														=		input("""Enter integers separated by spaces: """)
				_a														=		[int(num) for num in numbers.split()]
				rec_insertion_sort(number_list, len(number_list))
				print(number_list)






