code: 
  
  
  from functools import lru_cache
  
  
  
  
  
  
  @lru_cache
  def   __lowerCamelCase	(       lowerCamelCase__		:	int			):
  
  
  
  
  
  			'''simple docstring'''
  
  
  
  
  			if not isinstance(lowerCamelCase__     ,       lowerCamelCase__			):
  						raise TypeError("""k must be an integer."""			)
  			if k < 0:
  						raise ValueError("""k integer must be greater or equal to zero."""			)
  			if k == 0:
  						return 0
  			elif k == 1:
  						return 1
  			else:
  						return fibonacci(k - 1			) + fibonacci(k - 2			)
  
  
  
  
  
  
  def   __lowerCamelCase	(       lowerCamelCase__		:	list     ,       lowerCamelCase__		:	int			):
  
  
  
  
  
  			'''simple docstring'''
  
  
  
  
  			lowerCamelCase								=     len(lowerCamelCase__			)
  			# Find m such that F_m >= n where F_i is the i_th fibonacci number.
  			lowerCamelCase								=     0
  			while True:
  						if fibonacci(lowerCamelCase__			) >= len_list:
  									lowerCamelCase								=     i
  									break
  						i += 1
  			lowerCamelCase								=     0
  			while fibb_k > 0:
  						lowerCamelCase								=     min(
  						    offset + fibonacci(fibb_k - 1			)     ,       len_list - 1			)  # Prevent out of range
  						lowerCamelCase								=     arr[index_k]
  						if item_k_1 == val:
  									return index_k
  						elif val < item_k_1:
  									fibb_k -= 1
  						elif val > item_k_1:
  									offset += fibonacci(fibb_k - 1			)
  									fibb_k -= 2
  			else:
  						return -1
  
  
  if __name__ == "__main__":
  		import doctest
  
  		doctest.testmod()
  
  
style_context: 
  
  
  import math
  
  import qiskit
  from qiskit import Aer, ClassicalRegister, QuantumCircuit, QuantumRegister, execute
  
  
  
  
  
  
  def   __lowerCamelCase	(       lowerCamelCase__		:	int = 1     ,       lowerCamelCase__		:	int = 1			):
  
  
  
  
  
  			'''simple docstring'''
  
  
  
  
  			if isinstance(lowerCamelCase__     ,       lowerCamelCase__			) or isinstance(lowerCamelCase__     ,       lowerCamelCase__			):
  						raise TypeError("""inputs must be integers."""			)
  			if (bit_a < 0) or (bit_a < 0):
  						raise ValueError("""inputs must be positive."""			)
  			if (math.floor(lowerCamelCase__			) != bit_a) or (math.floor(lowerCamelCase__			) != bit_a):
  						raise ValueError("""inputs must be exact integers."""			)
  			if (bit_a > 1) or (bit_a > 1):
  						raise ValueError("""inputs must be less or equal to 1."""			)
  
  			# build registers
  			lowerCamelCase								=     QuantumRegister(2     ,       """qr"""			)
  			lowerCamelCase								=     ClassicalRegister(2     ,       """cr"""			)
  
  			lowerCamelCase								=     QuantumCircuit(lowerCamelCase__     ,       lowerCamelCase__			)
  
  			# entanglement the qubits
  			quantum_circuit.h(1			)
  			quantum_circuit.cx(1     ,       0			)
  
  			# send the information
  			lowerCamelCase								=     str(lowerCamelCase__			) + str(lowerCamelCase__			)
  
  			if c_information == "11":
  						quantum_circuit.x(1			)
  						quantum_circuit.z(1			)
  			elif c_information == "10":
  						quantum_circuit.z(1			)
  			elif c_information == "01":
  						quantum_circuit.x(1			)
  			else:
  						quantum_circuit.i(1			)
  
  			# unentangled the circuit
  			quantum_circuit.cx(1     ,       0			)
  			quantum_circuit.h(1			)
  
  			# measure the circuit
  			quantum_circuit.measure(lowerCamelCase__     ,       lowerCamelCase__			)
  
  			lowerCamelCase								=     Aer.get_backend("""aer_simulator"""			)
  			lowerCamelCase								=     execute(lowerCamelCase__     ,       lowerCamelCase__     ,       shots=1000			)
  
  			return job.result().get_counts(lowerCamelCase__			)
  
  
  if __name__ == "__main__":
  		print(f"""Counts for classical state send: {superdense_coding(1,1)}""")
  
  