






'''simple docstring'''
import math

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





def 	_a(					UpperCamelCase__			:  int = 3							):




      '''simple docstring'''






      if isinstance(UpperCamelCase__,		UpperCamelCase__							):
            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(UpperCamelCase__							) != number_of_qubits:
            raise ValueError('''number of qubits must be exact integer.'''							)
      if number_of_qubits > 1_0:
            raise ValueError('''number of qubits too large to simulate(>10).'''							)

      SCREAMING_SNAKE_CASE__       :			Dict													=QuantumRegister(UpperCamelCase__,		'''qr'''							)
      SCREAMING_SNAKE_CASE__       :			Optional[Any]													=ClassicalRegister(UpperCamelCase__,		'''cr'''							)

      SCREAMING_SNAKE_CASE__       :			List[str]													=QuantumCircuit(UpperCamelCase__,		UpperCamelCase__							)

      SCREAMING_SNAKE_CASE__       :			Optional[int]													=number_of_qubits

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

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

      # measure all the qubits
      quantum_circuit.measure(UpperCamelCase__,		UpperCamelCase__							)
      # simulate with 10000 shots
      SCREAMING_SNAKE_CASE__       :			Tuple													=Aer.get_backend('''qasm_simulator'''							)
      SCREAMING_SNAKE_CASE__       :			Any													=execute(UpperCamelCase__,		UpperCamelCase__,		shots=1_0_0_0_0							)

      return job.result().get_counts(UpperCamelCase__							)


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







'''simple docstring'''
from __future__ import annotations





def 	_a(					UpperCamelCase__			:  List[str],		UpperCamelCase__			:  Union[str, Any],		UpperCamelCase__			:  int,		UpperCamelCase__			:  List[str]							):  # noqa: E741




      '''simple docstring'''






      while r - l > 1:
            SCREAMING_SNAKE_CASE__       :			List[str]													=(l + r) // 2
            if v[m] >= key:
                  SCREAMING_SNAKE_CASE__       :			Dict													=m
            else:
                  SCREAMING_SNAKE_CASE__       :			Any													=m  # noqa: E741
      return r





def 	_a(					UpperCamelCase__			:  list[int]							):




      '''simple docstring'''






      if len(UpperCamelCase__							) == 0:
            return 0

      SCREAMING_SNAKE_CASE__       :			List[Any]													=[0] * len(UpperCamelCase__							)
      SCREAMING_SNAKE_CASE__       :			Dict													=1

      SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=v[0]

      for i in range(1,		len(UpperCamelCase__							)							):
            if v[i] < tail[0]:
                  SCREAMING_SNAKE_CASE__       :			List[Any]													=v[i]
            elif v[i] > tail[length - 1]:
                  SCREAMING_SNAKE_CASE__       :			int													=v[i]
                  length += 1
            else:
                  SCREAMING_SNAKE_CASE__       :			Union[str, Any]													=v[i]

      return length


if __name__ == "__main__":
  import doctest

  doctest.testmod()