




"""simple docstring"""



from __future__ import annotations

from typing import Any







def     _SCREAMING_SNAKE_CASE  (				*lowercase_		)		->						list[list[int]]:
 if all(_check_not_integer(lowercase_		) for m in matrix_s		):
  for i in matrix_s[1:]:
   _verify_matrix_sizes(matrix_s[0]     ,					lowercase_		)
  return [[sum(lowercase_		) for t in zip(*lowercase_		)] for m in zip(*lowercase_		)]
 raise TypeError("Expected a matrix, got int/list instead"		)







def     _SCREAMING_SNAKE_CASE  (				lowercase_     ,					lowercase_		)		->						list[list[int]]:
 if (
     _check_not_integer(lowercase_		)
     and _check_not_integer(lowercase_		)
     and _verify_matrix_sizes(lowercase_     ,					lowercase_		)
 ):
  return [[i - j for i, j in zip(*lowercase_		)] for m in zip(lowercase_     ,					lowercase_		)]
 raise TypeError("Expected a matrix, got int/list instead"		)







def     _SCREAMING_SNAKE_CASE  (				lowercase_     ,					lowercase_		)		->						list[list[float]]:
 return [[x * n for x in row] for row in matrix]







def     _SCREAMING_SNAKE_CASE  (				lowercase_     ,					lowercase_		)		->						list[list[int]]:
 if _check_not_integer(lowercase_		) and _check_not_integer(lowercase_		):
  A__, A__			=							_verify_matrix_sizes(lowercase_     ,					lowercase_		)

 if cols[0] != rows[1]:
  A__			=							(
      "Cannot multiply matrix of dimensions "
      f"""({rows[0]},{cols[0]}) and ({rows[1]},{cols[1]})"""
  )
  raise ValueError(lowercase_		)
 return [
     [sum(m * n for m, n in zip(lowercase_     ,					lowercase_		)		) for j in zip(*lowercase_		)] for i in matrix_a
 ]







def     _SCREAMING_SNAKE_CASE  (				lowercase_		)		->						list[list[int]]:
 A__			=							int(lowercase_		)
 return [[int(row == column		) for column in range(lowercase_		)] for row in range(lowercase_		)]







def     _SCREAMING_SNAKE_CASE  (				lowercase_     ,					lowercase_ = True		)		->						list[list[int]] | map[list[int]]:
 if _check_not_integer(lowercase_		):
  if return_map:
   return map(lowercase_     ,					zip(*lowercase_		)		)
  else:
   return list(map(lowercase_     ,					zip(*lowercase_		)		)		)
 raise TypeError("Expected a matrix, got int/list instead"		)







def     _SCREAMING_SNAKE_CASE  (				lowercase_     ,					lowercase_     ,					lowercase_		)		->						list[list[int]]:
 A__			=							matrix[:row] + matrix[row + 1 :]
 return [row[:column] + row[column + 1 :] for row in minor]







def     _SCREAMING_SNAKE_CASE  (				lowercase_		)		->						Any:
 if len(lowercase_		) == 1:
  return matrix[0][0]

 return sum(
     x * determinant(minor(lowercase_     ,					0     ,					lowercase_		)		) * (-1) ** i
     for i, x in enumerate(matrix[0]		)		)







def     _SCREAMING_SNAKE_CASE  (				lowercase_		)		->						list[list[float]] | None:
 A__			=							determinant(lowercase_		)
 if det == 0:
  return None

 A__			=							[
     [determinant(minor(lowercase_     ,					lowercase_     ,					lowercase_		)		) for j in range(len(lowercase_		)		)]
     for i in range(len(lowercase_		)		)
 ]

 A__			=							[
     [x * (-1) ** (row + col) for col, x in enumerate(matrix_minor[row]		)]
     for row in range(len(lowercase_		)		)
 ]
 A__			=							list(transpose(lowercase_		)		)
 return scalar_multiply(lowercase_     ,					1 / det		)







def     _SCREAMING_SNAKE_CASE  (				lowercase_		)		->						bool:
 return not isinstance(lowercase_     ,					lowercase_		) and not isinstance(matrix[0]     ,					lowercase_		)







def     _SCREAMING_SNAKE_CASE  (				lowercase_		)		->						tuple[int, int]:
 return len(lowercase_		), len(matrix[0]		)







def     _SCREAMING_SNAKE_CASE  (				lowercase_     ,					lowercase_		)		->						tuple[tuple[int, int], tuple[int, int]]:
 A__			=							_shape(lowercase_		) + _shape(lowercase_		)
 if shape[0] != shape[3] or shape[1] != shape[2]:
  A__			=							(
      "operands could not be broadcast together with shape "
      f"""({shape[0], shape[1]}), ({shape[2], shape[3]})"""
  )
  raise ValueError(lowercase_		)
 return (shape[0], shape[2]), (shape[1], shape[3])







def     _SCREAMING_SNAKE_CASE  (				)		->						None:
 A__			=							[[12, 10], [3, 9]]
 A__			=							[[3, 4], [7, 4]]
 A__			=							[[11, 12, 13, 14], [21, 22, 23, 24], [31, 32, 33, 34], [41, 42, 43, 44]]
 A__			=							[[3, 0, 2], [2, 0, -2], [0, 1, 1]]
 print(f"""Add Operation, {add(lowercase_     ,					lowercase_		) = } \n"""		)
 print(
     f"""Multiply Operation, {multiply(lowercase_     ,					lowercase_		) = } \n"""     ,					)
 print(f"""Identity: {identity(5		)}\n"""		)
 print(f"""Minor of {matrix_c} = {minor(lowercase_     ,					1     ,					2		)} \n"""		)
 print(f"""Determinant of {matrix_b} = {determinant(lowercase_		)} \n"""		)
 print(f"""Inverse of {matrix_d} = {inverse(lowercase_		)}\n"""		)


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      main()











"""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)}')





