from __future__ import annotations




def    lowerCAmelCase_ (     __A = 4							)     ->				list[list[int]]:







      '''simple docstring'''


      UpperCAmelCase__								=  abs(__A							) or 4
      return [[1 + x + y * row_size for x in range(__A							)] for y in range(__A							)]




def    lowerCAmelCase_ (     __A							)     ->				list[list[int]]:







      '''simple docstring'''


      return reverse_row(transpose(__A							)							)
      # OR.. transpose(reverse_column(matrix))




def    lowerCAmelCase_ (     __A							)     ->				list[list[int]]:







      '''simple docstring'''


      return reverse_row(reverse_column(__A							)							)
      # OR.. reverse_column(reverse_row(matrix))




def    lowerCAmelCase_ (     __A							)     ->				list[list[int]]:







      '''simple docstring'''


      return reverse_column(transpose(__A							)							)
      # OR.. transpose(reverse_row(matrix))




def    lowerCAmelCase_ (     __A							)     ->				list[list[int]]:







      '''simple docstring'''


      UpperCAmelCase__								=  [list(__A							) for x in zip(*__A							)]
      return matrix




def    lowerCAmelCase_ (     __A							)     ->				list[list[int]]:







      '''simple docstring'''


      UpperCAmelCase__								=  matrix[::-1]
      return matrix




def    lowerCAmelCase_ (     __A							)     ->				list[list[int]]:







      '''simple docstring'''


      UpperCAmelCase__								=  [x[::-1] for x in matrix]
      return matrix




def    lowerCAmelCase_ (     __A							)     ->				None:







      '''simple docstring'''


      for i in matrix:
            print(*__A							)


if __name__ == "__main__":
      UpperCamelCase__											=					make_matrix()
      print('\norigin:\n')
      print_matrix(matrix)
      print('\nrotate 90 counterclockwise:\n')
      print_matrix(rotate_aa(matrix))

      UpperCamelCase__											=					make_matrix()
      print('\norigin:\n')
      print_matrix(matrix)
      print('\nrotate 180:\n')
      print_matrix(rotate_aaa(matrix))

      UpperCamelCase__											=					make_matrix()
      print('\norigin:\n')
      print_matrix(matrix)
      print('\nrotate 270 counterclockwise:\n')
      print_matrix(rotate_aaa(matrix))




import math
import random




def    lowerCAmelCase_ (     __A,  __A = False							)     ->				float:







      '''simple docstring'''


      if deriv:
            return value * (1 - value)
      return 1 / (1 + math.exp(-value							))


# Initial Value
UpperCamelCase__											=					0.0_2




def    lowerCAmelCase_ (     __A,  __A							)     ->				float:







      '''simple docstring'''


      UpperCAmelCase__								=  float(2 * (random.randint(1,  100							)) - 1							)

      for _ in range(__A							):
            # Forward propagation
            UpperCAmelCase__								=  sigmoid_function(INITIAL_VALUE * weight							)
            # How much did we miss?
            UpperCAmelCase__								=  (expected / 100) - layer_a
            # Error delta
            UpperCAmelCase__								=  layer_1_error * sigmoid_function(__A,  __A							)
            # Update weight
            weight += INITIAL_VALUE * layer_1_delta

      return layer_a * 100


if __name__ == "__main__":
      import doctest

      doctest.testmod()

      UpperCamelCase__											=					int(input('Expected value: '))
      UpperCamelCase__											=					int(input('Number of propagations: '))
      print(forward_propagation(expected, number_propagations))



