






"""simple docstring"""

import math

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






def _lowerCAmelCase	(  __lowerCamelCase:int = 3   ):

						'''simple docstring'''






						if isinstance(__lowerCamelCase ,						__lowerCamelCase   ):
												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(__lowerCamelCase   ) != 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)."   )

						__magic_name__            =     QuantumRegister(__lowerCamelCase ,						"qr"   )
						__magic_name__            =     ClassicalRegister(__lowerCamelCase ,						"cr"   )

						__magic_name__            =     QuantumCircuit(__lowerCamelCase ,						__lowerCamelCase   )

						__magic_name__            =     number_of_qubits

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

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

						# measure all the qubits
						quantum_circuit.measure(__lowerCamelCase ,						__lowerCamelCase   )
						# simulate with 10000 shots
						__magic_name__            =     Aer.get_backend("qasm_simulator"   )
						__magic_name__            =     execute(__lowerCamelCase ,						__lowerCamelCase ,						shots=1_0_0_0_0   )

						return job.result().get_counts(__lowerCamelCase   )


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











"""simple docstring"""

from __future__ import annotations

lowercase    			=       []






def _lowerCAmelCase	(  __lowerCamelCase:list[list[int]] ,						__lowerCamelCase:int ,						__lowerCamelCase:int   ):

						'''simple docstring'''






						for i in range(len(__lowerCamelCase   )   ):
												if board[row][i] == 1:
																		return False
						for i in range(len(__lowerCamelCase   )   ):
												if board[i][column] == 1:
																		return False
						for i, j in zip(range(__lowerCamelCase ,						-1 ,						-1   ) ,						range(__lowerCamelCase ,						-1 ,						-1   )   ):
												if board[i][j] == 1:
																		return False
						for i, j in zip(range(__lowerCamelCase ,						-1 ,						-1   ) ,						range(__lowerCamelCase ,						len(__lowerCamelCase   )   )   ):
												if board[i][j] == 1:
																		return False
						return True






def _lowerCAmelCase	(  __lowerCamelCase:list[list[int]] ,						__lowerCamelCase:int   ):

						'''simple docstring'''






						if row >= len(__lowerCamelCase   ):
												solution.append(__lowerCamelCase   )
												printboard(__lowerCamelCase   )
												print()
												return True
						for i in range(len(__lowerCamelCase   )   ):
												if is_safe(__lowerCamelCase ,						__lowerCamelCase ,						__lowerCamelCase   ):
																		__magic_name__            =     1
																		solve(__lowerCamelCase ,						row + 1   )
																		__magic_name__            =     0
						return False






def _lowerCAmelCase	(  __lowerCamelCase:list[list[int]]   ):

						'''simple docstring'''






						for i in range(len(__lowerCamelCase   )   ):
												for j in range(len(__lowerCamelCase   )   ):
																		if board[i][j] == 1:
																								print("Q" ,						end=" "   )
																		else:
																								print("." ,						end=" "   )
												print()


# n=int(input("The no. of queens"))
lowercase    			=       8
lowercase    			=       [[0 for i in range(n)] for j in range(n)]
solve(board, 0)


print('''The total no. of solutions are :''', len(solution))



