
"""simple docstring"""

import math

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






def 							A		(       snake_case   :Optional[Any] = 3	)   ->			qiskit.result.counts.Counts:



 if isinstance(snake_case       ,      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(snake_case	) != 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).'	)

 __UpperCamelCase       						= QuantumRegister(snake_case       ,      'qr'	)
 __UpperCamelCase       						= ClassicalRegister(snake_case       ,      'cr'	)

 __UpperCamelCase       						= QuantumCircuit(snake_case       ,      snake_case	)

 __UpperCamelCase       						= number_of_qubits

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

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

 # measure all the qubits
 quantum_circuit.measure(snake_case       ,      snake_case	)
 # simulate with 10000 shots
 __UpperCamelCase       						= Aer.get_backend('qasm_simulator'	)
 __UpperCamelCase       						= execute(snake_case       ,      snake_case       ,      shots=1_0_0_0_0	)

 return job.result().get_counts(snake_case	)


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





"""simple docstring"""

def 							A		(       snake_case   :int	)   ->			bool:
 return str(snake_case	) == str(snake_case	)[::-1]






def 							A		(       snake_case   :int	)   ->			int:
 return int(snake_case	) + int(str(snake_case	)[::-1]	)






def 							A		(       snake_case   :int = 1_0_0_0_0	)   ->			int:
 __UpperCamelCase       						= []
 for num in range(1       ,      snake_case	):
  __UpperCamelCase       						= 0
  __UpperCamelCase       						= num
  while iterations < 5_0:
   __UpperCamelCase       						= sum_reverse(snake_case	)
   iterations += 1
   if is_palindrome(snake_case	):
    break
  else:
   lychrel_nums.append(snake_case	)
 return len(snake_case	)


if __name__ == "__main__":
      print(f'''{solution() = }''')



