






'''simple docstring'''

def    lowercase__			(				__UpperCamelCase   )->			Optional[Any]:
      # if the collection is empty, returns empty
      if collection == []:
            return []

      # get some information about the collection
      UpperCamelCase      = len(__UpperCamelCase   )
      UpperCamelCase      = max(__UpperCamelCase   )
      UpperCamelCase      = min(__UpperCamelCase   )

      # create the counting array
      UpperCamelCase      = coll_max + 1 - coll_min
      UpperCamelCase      = [0] * counting_arr_length

      # count how much a number appears in the collection
      for number in collection:
            counting_arr[number - coll_min] += 1

      # sum each position with it's predecessors. now, counting_arr[i] tells
      # us how many elements <= i has in the collection
      for i in range(1		,						__UpperCamelCase   ):
            UpperCamelCase      = counting_arr[i] + counting_arr[i - 1]

      # create the output collection
      UpperCamelCase      = [0] * coll_len

      # place the elements in the output, respecting the original order (stable
      # sort) from end to begin, updating counting_arr
      for i in reversed(range(0		,						__UpperCamelCase   )   ):
            UpperCamelCase      = collection[i]
            counting_arr[collection[i] - coll_min] -= 1

      return ordered







def    lowercase__			(				__UpperCamelCase   )->			Optional[Any]:
      return "".join([chr(__UpperCamelCase   ) for i in counting_sort([ord(__UpperCamelCase   ) for c in string]   )]   )


if __name__ == "__main__":
 # Test string sort
 assert counting_sort_string('thisisthestring') == "eghhiiinrsssttt"

 SCREAMING_SNAKE_CASE__     =       input('Enter numbers separated by a comma:\n').strip()
 SCREAMING_SNAKE_CASE__     =       [int(item) for item in user_input.split(',')]
 print(counting_sort(unsorted))








'''simple docstring'''

from maths.is_square_free import is_square_free
from maths.prime_factors import prime_factors







def    lowercase__			(				__UpperCamelCase   )->			int:
      UpperCamelCase      = prime_factors(__UpperCamelCase   )
      if is_square_free(__UpperCamelCase   ):
            return -1 if len(__UpperCamelCase   ) % 2 else 1
      return 0


if __name__ == "__main__":
     import doctest

     doctest.testmod()
