


"""simple docstring"""
import math

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







def 						_a				(      _SCREAMING_SNAKE_CASE = 3				)    ->				qiskit.result.counts.Counts:
							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)."""				)

							snake_case_           =		QuantumRegister(_SCREAMING_SNAKE_CASE				, """qr"""				)
							snake_case_           =		ClassicalRegister(_SCREAMING_SNAKE_CASE				, """cr"""				)

							snake_case_           =		QuantumCircuit(_SCREAMING_SNAKE_CASE				, _SCREAMING_SNAKE_CASE				)

							snake_case_           =		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
							snake_case_           =		Aer.get_backend("""qasm_simulator"""				)
							snake_case_           =		execute(_SCREAMING_SNAKE_CASE				, _SCREAMING_SNAKE_CASE				, shots=10_000				)

							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 functools import reduce

__SCREAMING_SNAKE_CASE							:    Tuple		=    (
    '73167176531330624919225119674426574742355349194934'
    '96983520312774506326239578318016984801869478851843'
    '85861560789112949495459501737958331952853208805511'
    '12540698747158523863050715693290963295227443043557'
    '66896648950445244523161731856403098711121722383113'
    '62229893423380308135336276614282806444486645238749'
    '30358907296290491560440772390713810515859307960866'
    '70172427121883998797908792274921901699720888093776'
    '65727333001053367881220235421809751254540594752243'
    '52584907711670556013604839586446706324415722155397'
    '53697817977846174064955149290862569321978468622482'
    '83972241375657056057490261407972968652414535100474'
    '82166370484403199890008895243450658541227588666881'
    '16427171479924442928230863465674813919123162824586'
    '17866458359124566529476545682848912883142607690042'
    '24219022671055626321111109370544217506941658960408'
    '07198403850962455444362981230987879927244284909188'
    '84580156166097919133875499200524063689912560717606'
    '05886116467109405077541002256983155200055935729725'
    '71636269561882670428252483600823257530420752963450'
)







def 						_a				(      _SCREAMING_SNAKE_CASE = N				)    ->				int:
							return max(
							    # mypy cannot properly interpret reduce
							    int(reduce(lambda _SCREAMING_SNAKE_CASE				, _SCREAMING_SNAKE_CASE				: str(int(_SCREAMING_SNAKE_CASE				) * int(_SCREAMING_SNAKE_CASE				)				)				, n[i : i + 13]				)				)
							    for i in range(len(_SCREAMING_SNAKE_CASE				) - 12				)				)


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



