





"""simple docstring"""
class 					_SCREAMING_SNAKE_CASE:




       def __init__(						self		,SCREAMING_SNAKE_CASE__ = ""		,SCREAMING_SNAKE_CASE__ = False							)			->      None:





             """simple docstring"""






             __SCREAMING_SNAKE_CASE   :dict[str, RadixNode]						=  {}

             # A node will be a leaf if the tree contains its word
             __SCREAMING_SNAKE_CASE   :int						=  is_leaf

             __SCREAMING_SNAKE_CASE   :Union[str, Any]						=  prefix




       def     _UpperCamelCase     (						self		,SCREAMING_SNAKE_CASE__							)			->      tuple[str, str, str]:





             """simple docstring"""






             __SCREAMING_SNAKE_CASE   :List[str]						=  0
             for q, w in zip(self.prefix		,SCREAMING_SNAKE_CASE__							):
                   if q != w:
                         break

                   x += 1

             return self.prefix[:x], self.prefix[x:], word[x:]




       def     _UpperCamelCase     (						self		,SCREAMING_SNAKE_CASE__							)			->      None:





             """simple docstring"""






             for word in words:
                   self.insert(SCREAMING_SNAKE_CASE__							)




       def     _UpperCamelCase     (						self		,SCREAMING_SNAKE_CASE__							)			->      None:





             """simple docstring"""






             if self.prefix == word:
                   __SCREAMING_SNAKE_CASE   :Optional[Any]						=  True

             # Case 2: The node has no edges that have a prefix to the word
             # Solution: We create an edge from the current node to a new one
             # containing the word
             elif word[0] not in self.nodes:
                   __SCREAMING_SNAKE_CASE   :Optional[Any]						=  RadixNode(prefix=SCREAMING_SNAKE_CASE__		,is_leaf=SCREAMING_SNAKE_CASE__							)

             else:
                   __SCREAMING_SNAKE_CASE   :List[Any]						=  self.nodes[word[0]]
                   __SCREAMING_SNAKE_CASE				,__SCREAMING_SNAKE_CASE				,__SCREAMING_SNAKE_CASE   :Optional[int]						=  incoming_node.match(
                       SCREAMING_SNAKE_CASE__							)

                   # Case 3: The node prefix is equal to the matching
                   # Solution: We insert remaining word on the next node
                   if remaining_prefix == "":
                         self.nodes[matching_string[0]].insert(SCREAMING_SNAKE_CASE__							)

                   # Case 4: The word is greater equal to the matching
                   # Solution: Create a node in between both nodes, change
                   # prefixes and add the new node for the remaining word
                   else:
                         __SCREAMING_SNAKE_CASE   :Optional[Any]						=  remaining_prefix

                         __SCREAMING_SNAKE_CASE   :Tuple						=  self.nodes[matching_string[0]]
                         __SCREAMING_SNAKE_CASE   :Optional[Any]						=  RadixNode(SCREAMING_SNAKE_CASE__		,SCREAMING_SNAKE_CASE__							)
                         __SCREAMING_SNAKE_CASE   :int						=  aux_node

                         if remaining_word == "":
                               __SCREAMING_SNAKE_CASE   :Dict						=  True
                         else:
                               self.nodes[matching_string[0]].insert(SCREAMING_SNAKE_CASE__							)




       def     _UpperCamelCase     (						self		,SCREAMING_SNAKE_CASE__							)			->      bool:





             """simple docstring"""






             __SCREAMING_SNAKE_CASE   :List[str]						=  self.nodes.get(word[0]		,SCREAMING_SNAKE_CASE__							)
             if not incoming_node:
                   return False
             else:
                   __SCREAMING_SNAKE_CASE				,__SCREAMING_SNAKE_CASE				,__SCREAMING_SNAKE_CASE   :str						=  incoming_node.match(
                       SCREAMING_SNAKE_CASE__							)
                   # If there is remaining prefix, the word can't be on the tree
                   if remaining_prefix != "":
                         return False
                   # This applies when the word and the prefix are equal
                   elif remaining_word == "":
                         return incoming_node.is_leaf
                   # We have word remaining so we check the next node
                   else:
                         return incoming_node.find(SCREAMING_SNAKE_CASE__							)




       def     _UpperCamelCase     (						self		,SCREAMING_SNAKE_CASE__							)			->      bool:





             """simple docstring"""






             __SCREAMING_SNAKE_CASE   :Any						=  self.nodes.get(word[0]		,SCREAMING_SNAKE_CASE__							)
             if not incoming_node:
                   return False
             else:
                   __SCREAMING_SNAKE_CASE				,__SCREAMING_SNAKE_CASE				,__SCREAMING_SNAKE_CASE   :int						=  incoming_node.match(
                       SCREAMING_SNAKE_CASE__							)
                   # If there is remaining prefix, the word can't be on the tree
                   if remaining_prefix != "":
                         return False
                   # We have word remaining so we check the next node
                   elif remaining_word != "":
                         return incoming_node.delete(SCREAMING_SNAKE_CASE__							)
                   else:
                         # If it is not a leaf, we don't have to delete
                         if not incoming_node.is_leaf:
                               return False
                         else:
                               # We delete the nodes if no edges go from it
                               if len(incoming_node.nodes							) == 0:
                                     del self.nodes[word[0]]
                                     # We merge the current node with its only child
                                     if len(self.nodes							) == 1 and not self.is_leaf:
                                           __SCREAMING_SNAKE_CASE   :List[str]						=  list(self.nodes.values()							)[0]
                                           __SCREAMING_SNAKE_CASE   :Tuple						=  merging_node.is_leaf
                                           self.prefix += merging_node.prefix
                                           __SCREAMING_SNAKE_CASE   :Union[str, Any]						=  merging_node.nodes
                    # If there is more than 1 edge, we just mark it as non-leaf
                               elif len(incoming_node.nodes							) > 1:
                                     __SCREAMING_SNAKE_CASE   :List[Any]						=  False
                               # If there is 1 edge, we merge it with its child
                               else:
                                     __SCREAMING_SNAKE_CASE   :Optional[int]						=  list(incoming_node.nodes.values()							)[0]
                                     __SCREAMING_SNAKE_CASE   :List[Any]						=  merging_node.is_leaf
                                     incoming_node.prefix += merging_node.prefix
                                     __SCREAMING_SNAKE_CASE   :Any						=  merging_node.nodes

                               return True




       def     _UpperCamelCase     (						self		,SCREAMING_SNAKE_CASE__ = 0							)			->      None:





             """simple docstring"""






             if self.prefix != "":
                   print('''-''' * height		,self.prefix		,'''  (leaf)''' if self.is_leaf else ''''''							)

             for value in self.nodes.values():
                   value.print_tree(height + 1							)




def      __lowerCamelCase   (							)			->      bool:
      __SCREAMING_SNAKE_CASE   :str						=  '''banana bananas bandana band apple all beast'''.split()
      __SCREAMING_SNAKE_CASE   :Dict						=  RadixNode()
      root.insert_many(a_							)

      assert all(root.find(a_							) for word in words							)
      assert not root.find('''bandanas'''							)
      assert not root.find('''apps'''							)
      root.delete('''all'''							)
      assert not root.find('''all'''							)
      root.delete('''banana'''							)
      assert not root.find('''banana'''							)
      assert root.find('''bananas'''							)

      return True



def      __lowerCamelCase   (							)			->      None:
      assert test_trie()



def      __lowerCamelCase   (							)			->      None:
      __SCREAMING_SNAKE_CASE   :Tuple						=  RadixNode()
      __SCREAMING_SNAKE_CASE   :Optional[Any]						=  '''banana bananas bandanas bandana band apple all beast'''.split()
      root.insert_many(a_							)

      print('''Words:''' ,   a_							)
      print('''Tree:'''							)
      root.print_tree()


if __name__ == "__main__":
  main()






"""simple docstring"""
def      __lowerCamelCase   (							a_     :		list							)			->      list:

      if len(a_							) < 2:
            return collection

      def circle_sort_util(a_     :		list ,   a_     :		int ,   a_     :		int							) -> bool:
            __SCREAMING_SNAKE_CASE   :int						=  False

            if low == high:
                  return swapped

            __SCREAMING_SNAKE_CASE   :int						=  low
            __SCREAMING_SNAKE_CASE   :Tuple						=  high

            while left < right:
                  if collection[left] > collection[right]:
                        __SCREAMING_SNAKE_CASE				,__SCREAMING_SNAKE_CASE   :str						=  (
                            collection[right],
                            collection[left],
                        )
                        __SCREAMING_SNAKE_CASE   :Optional[int]						=  True

                  left += 1
                  right -= 1

            if left == right and collection[left] > collection[right + 1]:
                  __SCREAMING_SNAKE_CASE				,__SCREAMING_SNAKE_CASE   :Tuple						=  (
                      collection[right + 1],
                      collection[left],
                  )

                  __SCREAMING_SNAKE_CASE   :Tuple						=  True

            __SCREAMING_SNAKE_CASE   :int						=  low + int((high - low) / 2							)
            __SCREAMING_SNAKE_CASE   :int						=  circle_sort_util(a_ ,   a_ ,   a_							)
            __SCREAMING_SNAKE_CASE   :Union[str, Any]						=  circle_sort_util(a_ ,   mid + 1 ,   a_							)

            return swapped or left_swap or right_swap

      __SCREAMING_SNAKE_CASE   :Optional[Any]						=  True

      while is_not_sorted is True:
            __SCREAMING_SNAKE_CASE   :Tuple						=  circle_sort_util(a_ ,   0 ,   len(a_							) - 1							)

      return collection


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