





import random
import sys

lowerCAmelCase_        =			"""ABCDEFGHIJKLMNOPQRSTUVWXYZ"""


def 			lowerCamelCase_		(					)->						None:
  _snake_case      : List[str]														=		input('Enter message: ' )
  _snake_case      : Optional[Any]														=		'LFWOAYUISVKMNXPBDCRJTQEGHZ'
  _snake_case      : str														=		input('Encrypt/Decrypt [e/d]: ' )

  check_valid_key(lowerCAmelCase )

  if resp.lower().startswith('e' ):
    _snake_case      : List[Any]														=		'encrypt'
    _snake_case      : Dict														=		encrypt_message(lowerCAmelCase			,							lowerCAmelCase )
  elif resp.lower().startswith('d' ):
    _snake_case      : Union[str, Any]														=		'decrypt'
    _snake_case      : Union[str, Any]														=		decrypt_message(lowerCAmelCase			,							lowerCAmelCase )

  print(F"""\n{mode.title()}ion: \n{translated}""" )


def 			lowerCamelCase_		(					lowerCAmelCase:		str )->						None:
  _snake_case      : Optional[Any]														=		list(lowerCAmelCase )
  _snake_case      : Tuple														=		list(lowerCAmelCase )
  key_list.sort()
  letters_list.sort()

  if key_list != letters_list:
    sys.exit('Error in the key or symbol set.' )


def 			lowerCamelCase_		(					lowerCAmelCase:		str			,							lowerCAmelCase:		str )->						str:
  return translate_message(lowerCAmelCase			,							lowerCAmelCase			,							'encrypt' )


def 			lowerCamelCase_		(					lowerCAmelCase:		str			,							lowerCAmelCase:		str )->						str:
  return translate_message(lowerCAmelCase			,							lowerCAmelCase			,							'decrypt' )


def 			lowerCamelCase_		(					lowerCAmelCase:		str			,							lowerCAmelCase:		str			,							lowerCAmelCase:		str )->						str:
  _snake_case      : Tuple														=		''
  _snake_case      : Optional[Any]														=		LETTERS
  _snake_case      : Tuple														=		key

  if mode == "decrypt":
    _snake_case							,    _snake_case      : Dict														=		chars_b, chars_a

  for symbol in message:
    if symbol.upper() in chars_a:
      _snake_case      : int														=		chars_a.find(symbol.upper() )
      if symbol.isupper():
        translated += chars_b[sym_index].upper()
      else:
        translated += chars_b[sym_index].lower()
    else:
      translated += symbol

  return translated


def 			lowerCamelCase_		(					)->						str:
  _snake_case      : Optional[int]														=		list(lowerCAmelCase )
  random.shuffle(lowerCAmelCase )
  return "".join(lowerCAmelCase )


if __name__ == "__main__":
      main()








import math as m







def   lowerCamelCase(      a__		,a__		,a__=0.001):
				return (f(a + h) - f(a - h)) / (2 * h)







def   lowerCamelCase(      a__		,a__=0		,a__=100		,a__=0.0001		,a__=1e-6		,a__=False):
				_SCREAMING_SNAKE_CASE	     =xa  # set the initial guess
				_SCREAMING_SNAKE_CASE	     =[a]
				_SCREAMING_SNAKE_CASE	     =abs(f(a__))
				_SCREAMING_SNAKE_CASE	     =lambda a__: calc_derivative(a__		,a__		,h=a__)  # noqa: E731  Derivative of f(x)
				for _ in range(a__):
								if fa(a__) == 0:
												raise ValueError('''No converging solution found''')
								_SCREAMING_SNAKE_CASE	     =a - f(a__) / fa(a__)  # Calculate the next estimate
								if logsteps:
												steps.append(a__)
								if error < maxerror:
												break
				else:
								raise ValueError('''Iteration limit reached, no converging solution found''')
				if logsteps:
								# If logstep is true, then log intermediate steps
								return a, error, steps
				return a, error


if __name__ == "__main__":
							from matplotlib import pyplot as plt

							snake_case_  :	Tuple							  =							lambda x: m.tanh(x) ** 2 - m.exp(3 * x)  # noqa: E731
							snake_case_  , snake_case_  , snake_case_  :	str							  =							newton_raphson(
							    f, xa=10, maxiter=10_00, step=1e-6, logsteps=True
							)
							plt.plot([abs(f(x)) for x in steps])
							plt.xlabel('''step''')
							plt.ylabel('''error''')
							plt.show()
							print(f"""solution = {{{solution:f}}}, error = {{{error:f}}}""")