




"""simple docstring"""



from __future__ import annotations







def     _SCREAMING_SNAKE_CASE  (				lowercase_     ,					lowercase_		)		->						str:
 A__			=							0
 A__			=							len(lowercase_		) - 1
 while left <= right:
  A__			=							(left + right) // 2
  if left == right:
   if sorted_list[middle] < item:
    A__			=							middle + 1
   break
  elif sorted_list[middle] < item:
   A__			=							middle + 1
  else:
   A__			=							middle - 1
 sorted_list.insert(lowercase_     ,					lowercase_		)
 return sorted_list







def     _SCREAMING_SNAKE_CASE  (				lowercase_     ,					lowercase_		)		->						int:
 A__			=							[]
 while left and right:
  if left[0][0] < right[0][0]:
   result.append(left.pop(0		)		)
  else:
   result.append(right.pop(0		)		)
 return result + left + right







def     _SCREAMING_SNAKE_CASE  (				lowercase_		)		->						Union[str, Any]:
 A__			=							len(lowercase_		)
 if length <= 1:
  return list_ad
 A__			=							length // 2
 return merge(sortlist_ad(list_ad[:middle]		)     ,					sortlist_ad(list_ad[middle:]		)		)







def     _SCREAMING_SNAKE_CASE  (				lowercase_		)		->						list[int]:

 if len(lowercase_		) <= 1:
  return collection
 A__			=							[]
 A__			=							False
 for i in range(0     ,					len(lowercase_		)     ,					2		):
  if i == len(lowercase_		) - 1:
   A__			=							True
  else:
   if collection[i] < collection[i + 1]:
    two_paired_list.append([collection[i], collection[i + 1]]		)
   else:
    two_paired_list.append([collection[i + 1], collection[i]]		)
 A__			=							sortlist_ad(lowercase_		)
 A__			=							[i[0] for i in sorted_list_ad]
 result.append(sorted_list_ad[-1][1]		)
 if has_last_odd_item:
  A__			=							collection[-1]
  A__			=							binary_search_insertion(lowercase_     ,					lowercase_		)
 A__			=							False
 for i in range(len(lowercase_		) - 1		):
  if result[i] == collection[-1] and has_last_odd_item:
   A__			=							True
  A__			=							sorted_list_ad[i][1]
  # If last_odd_item is inserted before the item's index,
  # you should forward index one more.
  if is_last_odd_item_inserted_before_this_index:
   A__			=							result[: i + 2] + binary_search_insertion(result[i + 2 :]     ,					lowercase_		)
  else:
   A__			=							result[: i + 1] + binary_search_insertion(result[i + 1 :]     ,					lowercase_		)

 return result


if __name__ == "__main__":
      SCREAMING_SNAKE_CASE							=			input("Enter numbers separated by a comma:\n").strip()
      SCREAMING_SNAKE_CASE							=			[int(item) for item in user_input.split(",")]
      print(merge_insertion_sort(unsorted))











"""simple docstring"""



import numpy as np
import qiskit







def     _SCREAMING_SNAKE_CASE  (				lowercase_     ,					lowercase_		)		->						qiskit.QuantumCircuit:
 A__			=							qiskit.QuantumCircuit(num_qubits + 1		)

 # First, let's deal with the case in which oracle is balanced
 if case == "balanced":
  # First generate a random number that tells us which CNOTs to
  # wrap in X-gates:
  A__			=							np.random.randint(1     ,					2**num_qubits		)
  # Next, format 'b' as a binary string of length 'n', padded with zeros:
  A__			=							format(lowercase_     ,					f"""0{num_qubits}b"""		)
  # Next, we place the first X-gates. Each digit in our binary string
  # corresponds to a qubit, if the digit is 0, we do nothing, if it's 1
  # we apply an X-gate to that qubit:
  for index, bit in enumerate(lowercase_		):
   if bit == "1":
    oracle_qc.x(lowercase_		)
        # Do the controlled-NOT gates for each qubit, using the output qubit
        # as the target:
  for index in range(lowercase_		):
   oracle_qc.cx(lowercase_     ,					lowercase_		)
  # Next, place the final X-gates
  for index, bit in enumerate(lowercase_		):
   if bit == "1":
    oracle_qc.x(lowercase_		)

    # Case in which oracle is constant
 if case == "constant":
  # First decide what the fixed output of the oracle will be
  # (either always 0 or always 1)
  A__			=							np.random.randint(2		)
  if output == 1:
   oracle_qc.x(lowercase_		)

 A__			=							oracle_qc.to_gate()
 A__			=							"Oracle"  # To show when we display the circuit
 return oracle_gate







def     _SCREAMING_SNAKE_CASE  (				lowercase_     ,					lowercase_		)		->						qiskit.QuantumCircuit:
 A__			=							qiskit.QuantumCircuit(num_qubits + 1     ,					lowercase_		)
 # Set up the output qubit:
 dj_circuit.x(lowercase_		)
 dj_circuit.h(lowercase_		)
 # And set up the input register:
 for qubit in range(lowercase_		):
  dj_circuit.h(lowercase_		)
 # Let's append the oracle gate to our circuit:
 dj_circuit.append(lowercase_     ,					range(num_qubits + 1		)		)
 # Finally, perform the H-gates again and measure:
 for qubit in range(lowercase_		):
  dj_circuit.h(lowercase_		)

 for i in range(lowercase_		):
  dj_circuit.measure(lowercase_     ,					lowercase_		)

 return dj_circuit







def     _SCREAMING_SNAKE_CASE  (				lowercase_     ,					lowercase_		)		->						qiskit.result.counts.Counts:
 A__			=							qiskit.Aer.get_backend("aer_simulator"		)

 A__			=							dj_oracle(lowercase_     ,					lowercase_		)
 A__			=							dj_algorithm(lowercase_     ,					lowercase_		)

 # Execute the circuit on the simulator
 A__			=							qiskit.execute(lowercase_     ,					lowercase_     ,					shots=10_00		)

 # Return the histogram data of the results of the experiment.
 return job.result().get_counts(lowercase_		)


if __name__ == "__main__":
      print(f'Deutsch Jozsa - Constant Oracle: {deutsch_jozsa("constant", 3)}')
      print(f'Deutsch Jozsa - Balanced Oracle: {deutsch_jozsa("balanced", 3)}')





