



'''simple docstring'''





import functools
from math import sqrt
from time import time
def 		_a   (  lowerCamelCase_					,						*lowerCamelCase_					,						**lowerCamelCase_							):
   snake_case   :							List[str]						  =time()
   snake_case   :							str						  =func(*lowerCamelCase_					,						**lowerCamelCase_							)
   snake_case   :							Dict						  =time()
   if int(end - start							) > 0:
      print(F'''{func.__name__} runtime: {(end - start):0.4f} s'''							)
   else:
      print(F'''{func.__name__} runtime: {(end - start) * 10_00:0.4f} ms'''							)
   return output
def 		_a   (  lowerCamelCase_							):
   if n < 0:
      raise Exception('''n is negative'''							)
   if n == 0:
      return [0]
   snake_case   :							List[str]						  =[0, 1]
   for _ in range(n - 1							):
      fib.append(fib[-1] + fib[-2]							)
   return fib
def 		_a   (  lowerCamelCase_							):

   def fib_recursive_term(lowerCamelCase_							) -> int:
      if i < 0:
         raise Exception('''n is negative'''							)
      if i < 2:
         return i
      return fib_recursive_term(i - 1							) + fib_recursive_term(i - 2							)

   if n < 0:
      raise Exception('''n is negative'''							)
   return [fib_recursive_term(lowerCamelCase_							) for i in range(n + 1							)]
def 		_a   (  lowerCamelCase_							):

   @functools.cache
   def fib_recursive_term(lowerCamelCase_							) -> int:
      if i < 0:
         raise Exception('''n is negative'''							)
      if i < 2:
         return i
      return fib_recursive_term(i - 1							) + fib_recursive_term(i - 2							)

   if n < 0:
      raise Exception('''n is negative'''							)
   return [fib_recursive_term(lowerCamelCase_							) for i in range(n + 1							)]
def 		_a   (  lowerCamelCase_							):
   if n < 0:
      raise Exception('''n is negative'''							)
   # Cache must be outside recursuive function
   # other it will reset every time it calls itself.
   snake_case   :							dict[int, int]						  ={0: 0, 1: 1, 2: 1}  # Prefilled cache

   def rec_fn_memoized(lowerCamelCase_							) -> int:
      if num in cache:
         return cache[num]

      snake_case   :							int						  =rec_fn_memoized(num - 1							) + rec_fn_memoized(num - 2							)
      snake_case   :							List[str]						  =value
      return value

   return [rec_fn_memoized(lowerCamelCase_							) for i in range(n + 1							)]
def 		_a   (  lowerCamelCase_							):
   if n < 0:
      raise Exception('''n is negative'''							)
   if n >= 14_75:
      raise Exception('''n is too large'''							)
   snake_case   :							Optional[int]						  =sqrt(5							)
   snake_case   :							List[Any]						  =(1 + sqrt_a) / 2
   return [round(phi**i / sqrt_a							) for i in range(n + 1							)]


if __name__ == "__main__":
      A			:   int			=      30
      time_func(fib_iterative, num)
      time_func(fib_recursive, num)  # Around 3s runtime
      time_func(fib_recursive_cached, num)  # Around 0ms runtime
      time_func(fib_memoization, num)
      time_func(fib_binet, num)










'''simple docstring'''





from __future__ import annotations

import random
import string





class 							lowerCAmelCase_		:





    def __init__(    self    :    Union[str, Any],    _snake_case    :    str | None = None     ):



       '''simple docstring'''







       snake_case   :							Optional[int]						  =passcode or self.__passcode_creator()
       snake_case   :							List[str]						  =self.__make_key_list()
       snake_case   :							Dict						  =self.__make_shift_key()





    def __str__(    self    :    List[Any]     ):



       '''simple docstring'''







       return "".join(self.__passcode     )





    def 					__snake_case       (    self    :    int,    _snake_case    :    list[int]     ):



       '''simple docstring'''







       for i in range(1,    len(_snake_case     ),    2     ):
          iterlist[i] *= -1
       return iterlist





    def 					__snake_case       (    self    :    Optional[int]     ):



       '''simple docstring'''







       snake_case   :							int						  =string.ascii_letters + string.digits
       snake_case   :							Union[str, Any]						  =[random.choice(_snake_case     ) for _ in range(random.randint(10,    20     )     )]
       return password





    def 					__snake_case       (    self    :    Optional[int]     ):



       '''simple docstring'''







       snake_case   :							Dict						  =(
           string.ascii_letters + string.digits + string.punctuation + ''' \t\n'''
       )

       snake_case   :							Any						  =[]

       # creates points known as breakpoints to break the key_list_options at those
       # points and pivot each substring
       snake_case   :							Optional[int]						  =sorted(set(self.__passcode     )     )
       snake_case   :							list[str]						  =[]

       # algorithm for creating a new shuffled list, keys_l, out of key_list_options
       for i in key_list_options:
          temp_list.extend(_snake_case     )

          # checking breakpoints at which to pivot temporary sublist and add it into
          # keys_l
          if i in breakpoints or i == key_list_options[-1]:
             keys_l.extend(temp_list[::-1]     )
             temp_list.clear()

        # returning a shuffled keys_l to prevent brute force guessing of shift key
       return keys_l





    def 					__snake_case       (    self    :    Union[str, Any]     ):



       '''simple docstring'''







       snake_case   :							str						  =sum(self.__neg_pos([ord(_snake_case     ) for x in self.__passcode]     )     )
       return num if num > 0 else len(self.__passcode     )





    def 					__snake_case       (    self    :    Optional[int],    _snake_case    :    str     ):



       '''simple docstring'''







       snake_case   :							List[Any]						  =''''''

       # decoding shift like Caesar cipher algorithm implementing negative shift or
       # reverse shift or left shift
       for i in encoded_message:
          snake_case   :							Optional[int]						  =self.__key_list.index(_snake_case     )
          decoded_message += self.__key_list[
              (position - self.__shift_key) % -len(self.__key_list     )
          ]

       return decoded_message






    def 					__snake_case       (    self    :    Union[str, Any],    _snake_case    :    str     ):



       '''simple docstring'''







       snake_case   :							int						  =''''''

       # encoding shift like Caesar cipher algorithm implementing positive shift or
       # forward shift or right shift
       for i in plaintext:
          snake_case   :							int						  =self.__key_list.index(_snake_case     )
          encoded_message += self.__key_list[
              (position + self.__shift_key) % len(self.__key_list     )
          ]

       return encoded_message




def 		_a   (  lowerCamelCase_ = "Hello, this is a modified Caesar cipher"							):
   snake_case   :							List[Any]						  =ShuffledShiftCipher()
   return cipa.decrypt(cipa.encrypt(lowerCamelCase_							)							)


if __name__ == "__main__":
      import doctest

      doctest.testmod()





