

'''simple docstring'''

class 					lowerCAmelCase       :







       def __init__(							self     :	Tuple ):







            """simple docstring"""







            __lowercase     						=[0, 1]







       def      snake_case				(							self     :	Union[str, Any]  , __lowercase     :	str ):







            """simple docstring"""







            if (difference := index - (len(self.sequence ) - 2)) >= 1:
                 for _ in range(snake_case__ ):
                      self.sequence.append(self.sequence[-1] + self.sequence[-2] )
            return self.sequence[:index]






def 			__UpperCamelCase							(		):






     '''simple docstring'''





     print(
         'Fibonacci Series Using Dynamic Programming\n',   'Enter the index of the Fibonacci number you want to calculate ',   'in the prompt below. (To exit enter exit or Ctrl-C)\n',   sep='',   )
     __lowercase     						=Fibonacci()

     while True:
          __lowercase     						=input('>> '	)
          if prompt in {"exit", "quit"}:
               break

          try:
               __lowercase     						=int(_lowerCAmelCase	)
          except ValueError:
               print('Enter a number or \'exit\''	)
               continue

          print(fibonacci.get(_lowerCAmelCase	)	)


if __name__ == "__main__":
       main()




'''simple docstring'''

from __future__ import annotations

def 			__UpperCamelCase							(		lowercase__  :					list[int]	):






     '''simple docstring'''





     if not list_of_ints:
          return []

     if min(lowercase__	) < 0:
          raise ValueError('All numbers must be positive'	)

     __lowercase     						=max(len(bin(lowercase__	)[2:]	) for x in list_of_ints	)
     return _msd_radix_sort(lowercase__,   lowercase__	)

def 			__UpperCamelCase							(		lowercase__  :					list[int],   lowercase__  :					int	):






     '''simple docstring'''





     if bit_position == 0 or len(lowercase__	) in [0, 1]:
          return list_of_ints

     __lowercase     						=[]
     __lowercase     						=[]
     # Split numbers based on bit at bit_position from the right
     for number in list_of_ints:
          if (number >> (bit_position - 1)) & 1:
               # number has a one at bit bit_position
               ones.append(lowercase__	)
          else:
               # number has a zero at bit bit_position
               zeros.append(lowercase__	)

    # recursively split both lists further
     __lowercase     						=_msd_radix_sort(lowercase__,   bit_position - 1	)
     __lowercase     						=_msd_radix_sort(lowercase__,   bit_position - 1	)

     # recombine lists
     __lowercase     						=zeros
     res.extend(lowercase__	)

     return res

def 			__UpperCamelCase							(		lowercase__  :					list[int]	):






     '''simple docstring'''





     __lowercase     						=len(lowercase__	)
     if not list_of_ints or length == 1:
          return

     if min(lowercase__	) < 0:
          raise ValueError('All numbers must be positive'	)

     __lowercase     						=max(len(bin(lowercase__	)[2:]	) for x in list_of_ints	)
     _msd_radix_sort_inplace(lowercase__,   lowercase__,   0,   lowercase__	)

def 			__UpperCamelCase							(		lowercase__  :					list[int],   lowercase__  :					int,   lowercase__  :					int,   lowercase__  :					int	):






     '''simple docstring'''





     if bit_position == 0 or end_index - begin_index <= 1:
          return

     bit_position -= 1

     __lowercase     						=begin_index
     __lowercase     						=end_index - 1
     while i <= j:
          __lowercase     						=False
          if not (list_of_ints[i] >> bit_position) & 1:
               # found zero at the beginning
               i += 1
               __lowercase     						=True
          if (list_of_ints[j] >> bit_position) & 1:
               # found one at the end
               j -= 1
               __lowercase     						=True

          if changed:
               continue

          __lowercase						,       __lowercase     						=list_of_ints[j], list_of_ints[i]
          j -= 1
          if j != i:
               i += 1

     _msd_radix_sort_inplace(lowercase__,   lowercase__,   lowercase__,   lowercase__	)
     _msd_radix_sort_inplace(lowercase__,   lowercase__,   lowercase__,   lowercase__	)


if __name__ == "__main__":
       import doctest

       doctest.testmod()


