





"""simple docstring"""




import math

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





def 	a_    (							_lowercase = 3       ):
						if isinstance(_lowercase	,						_lowercase       ):
												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(_lowercase       ) != 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      : Dict         =   QuantumRegister(_lowercase	,						'''qr'''       )
						_UpperCamelCase      : Tuple         =   ClassicalRegister(_lowercase	,						'''cr'''       )

						_UpperCamelCase      : Union[str, Any]         =   QuantumCircuit(_lowercase	,						_lowercase       )

						_UpperCamelCase      : Union[str, Any]         =   number_of_qubits

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

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

						# measure all the qubits
						quantum_circuit.measure(_lowercase	,						_lowercase       )
						# simulate with 10000 shots
						_UpperCamelCase      : Optional[int]         =   Aer.get_backend('''qasm_simulator'''       )
						_UpperCamelCase      : Optional[Any]         =   execute(_lowercase	,						_lowercase	,						shots=1_0000       )

						return job.result().get_counts(_lowercase       )


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










"""simple docstring"""




from __future__ import annotations

import math





def 	a_    (							_lowercase	,						_lowercase	,						_lowercase	,						_lowercase	,						_lowercase       ):

						if depth < 0:
												raise ValueError('''Depth cannot be less than 0'''       )

						if len(_lowercase       ) == 0:
												raise ValueError('''Scores cannot be empty'''       )

						if depth == height:
												return scores[node_index]

						if is_max:
												return max(
												    minimax(depth + 1	,						node_index * 2	,						_lowercase	,						_lowercase	,						_lowercase       )	,						minimax(depth + 1	,						node_index * 2 + 1	,						_lowercase	,						_lowercase	,						_lowercase       )	,						)

						return min(
						    minimax(depth + 1	,						node_index * 2	,						_lowercase	,						_lowercase	,						_lowercase       )	,						minimax(depth + 1	,						node_index * 2 + 1	,						_lowercase	,						_lowercase	,						_lowercase       )	,						)





def 	a_    (							):
						_UpperCamelCase      : Dict         =   [90, 23, 6, 33, 21, 65, 123, 3_4423]
						_UpperCamelCase      : int         =   math.log(len(_lowercase       )	,						2       )
						print('''Optimal value : '''	,						end=''''''       )
						print(minimax(0	,						0	,						_lowercase	,						_lowercase	,						_lowercase       )       )


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()



