




from __future__ import annotations



def 							_A       (						lowerCAmelCase_					: list[int]       ,    lowerCAmelCase_					: int       ,    lowerCAmelCase_					: int       ,    lowerCAmelCase_					: int      ):
     """simple docstring"""

     if (direction == 1 and array[indexa] > array[indexa]) or (
         direction == 0 and array[indexa] < array[indexa]
     ):
          lowerCAmelCase__     ,		lowerCAmelCase__          =			array[indexa], array[indexa]



def 							_A       (						lowerCAmelCase_					: list[int]       ,    lowerCAmelCase_					: int       ,    lowerCAmelCase_					: int       ,    lowerCAmelCase_					: int      ):
     """simple docstring"""

     if length > 1:
          lowerCAmelCase__          =			int(length / 2      )
          for i in range(lowerCAmelCase_       ,    low + middle      ):
               comp_and_swap(lowerCAmelCase_       ,    lowerCAmelCase_       ,    i + middle       ,    lowerCAmelCase_      )
          bitonic_merge(lowerCAmelCase_       ,    lowerCAmelCase_       ,    lowerCAmelCase_       ,    lowerCAmelCase_      )
          bitonic_merge(lowerCAmelCase_       ,    low + middle       ,    lowerCAmelCase_       ,    lowerCAmelCase_      )



def 							_A       (						lowerCAmelCase_					: list[int]       ,    lowerCAmelCase_					: int       ,    lowerCAmelCase_					: int       ,    lowerCAmelCase_					: int      ):
     """simple docstring"""

     if length > 1:
          lowerCAmelCase__          =			int(length / 2      )
          bitonic_sort(lowerCAmelCase_       ,    lowerCAmelCase_       ,    lowerCAmelCase_       ,    1      )
          bitonic_sort(lowerCAmelCase_       ,    low + middle       ,    lowerCAmelCase_       ,    0      )
          bitonic_merge(lowerCAmelCase_       ,    lowerCAmelCase_       ,    lowerCAmelCase_       ,    lowerCAmelCase_      )


if __name__ == "__main__":
     UpperCamelCase								=					input('Enter numbers separated by a comma:\n').strip()
     UpperCamelCase								=					[int(item.strip()) for item in user_input.split(',')]

     bitonic_sort(unsorted, 0, len(unsorted), 1)
     print('\nSorted array in ascending order is: ', end='')
     print(*unsorted, sep=', ')

     bitonic_merge(unsorted, 0, len(unsorted), 0)
     print('Sorted array in descending order is: ', end='')
     print(*unsorted, sep=', ')






import random



def 							_A       (						lowerCAmelCase_					: list       ,    lowerCAmelCase_					: List[str]      ):
     """simple docstring"""

     lowerCAmelCase__     ,		lowerCAmelCase__     ,		lowerCAmelCase__          =			[], [], []
     for element in data:
          if element < pivot:
               less.append(lowerCAmelCase_      )
          elif element > pivot:
               greater.append(lowerCAmelCase_      )
          else:
               equal.append(lowerCAmelCase_      )
     return less, equal, greater






def 							_A       (						lowerCAmelCase_					: list       ,    lowerCAmelCase_					: int      ):
     """simple docstring"""

     if index >= len(lowerCAmelCase_      ) or index < 0:
          return None

     lowerCAmelCase__          =			items[random.randint(0       ,    len(lowerCAmelCase_      ) - 1      )]
     lowerCAmelCase__          =			0
     lowerCAmelCase__     ,		lowerCAmelCase__     ,		lowerCAmelCase__          =			_partition(lowerCAmelCase_       ,    lowerCAmelCase_      )
     lowerCAmelCase__          =			len(lowerCAmelCase_      )
     lowerCAmelCase__          =			len(lowerCAmelCase_      )

     # index is the pivot
     if m <= index < m + count:
          return pivot
     # must be in smaller
     elif m > index:
          return quick_select(lowerCAmelCase_       ,    lowerCAmelCase_      )
     # must be in larger
     else:
          return quick_select(lowerCAmelCase_       ,    index - (m + count)      )
