



'''simple docstring'''





import numpy as np
from numpy import floataa
from numpy.typing import NDArray




def lowerCAmelCase  (__A  ,     __A):



     """simple docstring"""



     _a     =  np.shape(A_)

     _a     =  np.zeros((rows, 1)  ,     dtype=A_)
     for row in reversed(range(A_)):
          _a     =  0
          for col in range(row + 1  ,     A_):
               total += coefficients[row, col] * x[col]

          _a     =  (vector[row] - total) / coefficients[row, row]

     return x




def lowerCAmelCase  (__A  ,     __A):



     """simple docstring"""



     _a     =  np.shape(A_)
     if rows != columns:
          return np.array(()  ,     dtype=A_)

     # augmented matrix
     _a     =  np.concatenate((coefficients, vector)  ,     axis=1)
     _a     =  augmented_mat.astype('''float64''')

     # scale the matrix leaving it triangular
     for row in range(rows - 1):
          _a     =  augmented_mat[row, row]
          for col in range(row + 1  ,     A_):
               _a     =  augmented_mat[col, row] / pivot
               augmented_mat[col, :] -= factor * augmented_mat[row, :]

     _a     =  retroactive_resolution(
         augmented_mat[:, 0:columns]  ,     augmented_mat[:, columns : columns + 1])

     return x


if __name__ == "__main__":
  import doctest

  doctest.testmod()








'''simple docstring'''





import os
from string import ascii_letters

lowercase_			=  ascii_letters + " \t\n"




def lowerCAmelCase  ():



     """simple docstring"""



     _a     =  os.path.split(os.path.realpath(__A))
     _a     =  {}
     with open(path[0] + '''/dictionary.txt''') as dictionary_file:
          for word in dictionary_file.read().split('''\n'''):
               _a     =  None
     return english_words


lowercase_			=  load_dictionary()




def lowerCAmelCase  (__A):



     """simple docstring"""



     _a     =  message.upper()
     _a     =  remove_non_letters(__A)
     _a     =  message.split()
     _a     =  len([word for word in possible_words if word in ENGLISH_WORDS])
     return float(__A) / len(__A)




def lowerCAmelCase  (__A):



     """simple docstring"""



     return "".join(symbol for symbol in message if symbol in LETTERS_AND_SPACE)




def lowerCAmelCase  (__A  ,     __A = 20  ,     __A = 85):



     """simple docstring"""



     _a     =  get_english_count(__A) * 100 >= word_percentage
     _a     =  len(remove_non_letters(__A))
     _a     =  (float(__A) / len(__A)) * 100
     _a     =  message_letters_percentage >= letter_percentage
     return words_match and letters_match


if __name__ == "__main__":
  import doctest

  doctest.testmod()



