
'''simple docstring'''





def 							snake_case				(		UpperCAmelCase   ,	UpperCAmelCase   ,	UpperCAmelCase						)->      None:







      """simple docstring"""
      if right <= left:
            return
      __A													=      __A													=      left
      __A													=      right
      __A													=      sorting[left]
      while i <= b:
            if sorting[i] < pivot:
                  __A						,   __A													=      sorting[i], sorting[a]
                  a += 1
                  i += 1
            elif sorting[i] > pivot:
                  __A						,   __A													=      sorting[i], sorting[b]
                  b -= 1
            else:
                  i += 1
      quick_sort_apartition(UpperCAmelCase   ,	UpperCAmelCase   ,	a - 1						)
      quick_sort_apartition(UpperCAmelCase   ,	b + 1   ,	UpperCAmelCase						)





def 							snake_case				(		UpperCAmelCase   ,	UpperCAmelCase   ,	UpperCAmelCase						)->      None:







      """simple docstring"""
      if left < right:
            __A													=      lomuto_partition(UpperCAmelCase   ,	UpperCAmelCase   ,	UpperCAmelCase						)
            quick_sort_lomuto_partition(UpperCAmelCase   ,	UpperCAmelCase   ,	pivot_index - 1						)
            quick_sort_lomuto_partition(UpperCAmelCase   ,	pivot_index + 1   ,	UpperCAmelCase						)





def 							snake_case				(		UpperCAmelCase   ,	UpperCAmelCase   ,	UpperCAmelCase						)->      int:







      """simple docstring"""
      __A													=      sorting[right]
      __A													=      left
      for i in range(UpperCAmelCase   ,	UpperCAmelCase						):
            if sorting[i] < pivot:
                  __A						,   __A													=      sorting[i], sorting[store_index]
                  store_index += 1
      __A						,   __A													=      sorting[store_index], sorting[right]
      return store_index





def 							snake_case				(		UpperCAmelCase						)->      list:







      """simple docstring"""
      if len(UpperCAmelCase						) <= 1:
            return sorting
      return (
          three_way_radix_quicksort([i for i in sorting if i < sorting[0]]						)
          + [i for i in sorting if i == sorting[0]]
          + three_way_radix_quicksort([i for i in sorting if i > sorting[0]]						)
      )


if __name__ == "__main__":
 import doctest

 doctest.testmod(verbose=True)

 a__		: Any  							=							input("Enter numbers separated by a comma:\n").strip()
 a__		: Any  							=							[int(item) for item in user_input.split(",")]
 quick_sort_apartition(unsorted, 0, len(unsorted) - 1)
 print(unsorted)












class 			_lowerCamelCase    :

      """simple docstring"""

      def __init__(  self       :			Optional[Any]			,							snake_case       :			int					):
          __UpperCamelCase			=    data
          __UpperCamelCase			=    42
          __UpperCamelCase			=    42







def        __SCREAMING_SNAKE_CASE (	lowercase_   )							->						None:

    """simple docstring"""


    __UpperCamelCase			=    0
    __UpperCamelCase			=    x




def        __SCREAMING_SNAKE_CASE (	lowercase_       ,  lowercase_   )							->						None:

    """simple docstring"""


    __UpperCamelCase		,   __UpperCamelCase			=    find_set(lowercase_   ), find_set(lowercase_   )
    if x == y:
        return

    elif x.rank > y.rank:
        __UpperCamelCase			=    x
    else:
        __UpperCamelCase			=    y
        if x.rank == y.rank:
            y.rank += 1




def        __SCREAMING_SNAKE_CASE (	lowercase_   )							->						Node:

    """simple docstring"""


    if x != x.parent:
        __UpperCamelCase			=    find_set(x.parent   )
    return x.parent




def        __SCREAMING_SNAKE_CASE (	lowercase_   )							->						set:

    """simple docstring"""


    __UpperCamelCase			=    ({0, 1, 2}, {3, 4, 5})
    for s in sets:
        if node.data in s:
            return s
    __UpperCamelCase			=    F"{node.data} is not in {sets}"
    raise ValueError(lowercase_   )




def        __SCREAMING_SNAKE_CASE (	)							->						None:

    """simple docstring"""


    __UpperCamelCase			=    [Node(lowercase_   ) for i in range(6   )]
    for v in vertex:
        make_set(lowercase_   )

    union_set(vertex[0]       ,  vertex[1]   )
    union_set(vertex[1]       ,  vertex[2]   )
    union_set(vertex[3]       ,  vertex[4]   )
    union_set(vertex[3]       ,  vertex[5]   )

    for nodea in vertex:
        for nodea in vertex:
            if find_python_set(lowercase_   ).isdisjoint(find_python_set(lowercase_   )   ):
                assert find_set(lowercase_   ) != find_set(lowercase_   )
            else:
                assert find_set(lowercase_   ) == find_set(lowercase_   )


if __name__ == "__main__":
 test_disjoint_set()






