


class 	UpperCAmelCase_					:

   '''simple docstring'''




   def __init__(		self						,				__A = ""						,				__A = False ):






     """simple docstring"""





     lowerCamelCase :					dict[str, RadixNode]    =				{}

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

     lowerCamelCase :					Any    =				prefix






   def _snake_case    (		self						,				__A ):






     """simple docstring"""





     lowerCamelCase :					int    =				0
     for q, w in zip(self.prefix						,				__A ):
       if q != w:
         break

       x += 1

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






   def _snake_case    (		self						,				__A ):






     """simple docstring"""





     for word in words:
       self.insert(__A )






   def _snake_case    (		self						,				__A ):






     """simple docstring"""





     if self.prefix == word:
       lowerCamelCase :					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:
       lowerCamelCase :					Any    =				RadixNode(prefix=__A						,				is_leaf=__A )

     else:
       lowerCamelCase :					List[Any]    =				self.nodes[word[0]]
       lowerCamelCase    ,	lowerCamelCase    ,	lowerCamelCase :					str    =				incoming_node.match(
           __A )

       # 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(__A )

       # 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:
         lowerCamelCase :					Union[str, Any]    =				remaining_prefix

         lowerCamelCase :					str    =				self.nodes[matching_string[0]]
         lowerCamelCase :					str    =				RadixNode(__A						,				__A )
         lowerCamelCase :					List[Any]    =				aux_node

         if remaining_word == "":
           lowerCamelCase :					Tuple    =				True
         else:
           self.nodes[matching_string[0]].insert(__A )






   def _snake_case    (		self						,				__A ):






     """simple docstring"""





     lowerCamelCase :					str    =				self.nodes.get(word[0]						,				__A )
     if not incoming_node:
       return False
     else:
       lowerCamelCase    ,	lowerCamelCase    ,	lowerCamelCase :					str    =				incoming_node.match(
           __A )
       # 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(__A )






   def _snake_case    (		self						,				__A ):






     """simple docstring"""





     lowerCamelCase :					List[str]    =				self.nodes.get(word[0]						,				__A )
     if not incoming_node:
       return False
     else:
       lowerCamelCase    ,	lowerCamelCase    ,	lowerCamelCase :					List[Any]    =				incoming_node.match(
           __A )
       # 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(__A )
       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:
               lowerCamelCase :					str    =				list(self.nodes.values() )[0]
               lowerCamelCase :					Optional[Any]    =				merging_node.is_leaf
               self.prefix += merging_node.prefix
               lowerCamelCase :					Tuple    =				merging_node.nodes
                    # If there is more than 1 edge, we just mark it as non-leaf
           elif len(incoming_node.nodes ) > 1:
             lowerCamelCase :					Optional[Any]    =				False
           # If there is 1 edge, we merge it with its child
           else:
             lowerCamelCase :					List[Any]    =				list(incoming_node.nodes.values() )[0]
             lowerCamelCase :					List[str]    =				merging_node.is_leaf
             incoming_node.prefix += merging_node.prefix
             lowerCamelCase :					List[str]    =				merging_node.nodes

           return True






   def _snake_case    (		self						,				__A = 0 ):






     """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 		lowercase_(  ):


  '''simple docstring'''

  lowerCamelCase :					Optional[Any]    =				"banana bananas bandana band apple all beast".split()
  lowerCamelCase :					List[Any]    =				RadixNode()
  root.insert_many(SCREAMING_SNAKE_CASE_	)

  assert all(root.find(SCREAMING_SNAKE_CASE_	) 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 		lowercase_(  ):


  '''simple docstring'''

  assert test_trie()






def 		lowercase_(  ):


  '''simple docstring'''

  lowerCamelCase :					Optional[int]    =				RadixNode()
  lowerCamelCase :					Union[str, Any]    =				"banana bananas bandanas bandana band apple all beast".split()
  root.insert_many(SCREAMING_SNAKE_CASE_	)

  print("Words:"      ,						SCREAMING_SNAKE_CASE_	)
  print("Tree:"	)
  root.print_tree()


if __name__ == "__main__":
   main()







def 		lowercase_(  SCREAMING_SNAKE_CASE_	):


  '''simple docstring'''

  for i in range(len(SCREAMING_SNAKE_CASE_	) - 1      ,						0      ,						-1	):
    lowerCamelCase :					Tuple    =				False

    for j in range(SCREAMING_SNAKE_CASE_      ,						0      ,						-1	):
      if unsorted[j] < unsorted[j - 1]:
        lowerCamelCase    ,	lowerCamelCase :					int    =				unsorted[j - 1], unsorted[j]
        lowerCamelCase :					Optional[int]    =				True

    for j in range(SCREAMING_SNAKE_CASE_	):
      if unsorted[j] > unsorted[j + 1]:
        lowerCamelCase    ,	lowerCamelCase :					Union[str, Any]    =				unsorted[j + 1], unsorted[j]
        lowerCamelCase :					Optional[Any]    =				True

    if not swapped:
      break
  return unsorted


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   _snake_case             =     input('''Enter numbers separated by a comma:\n''').strip()
   _snake_case             =     [int(item) for item in user_input.split(''',''')]
   print(f'''{cocktail_shaker_sort(unsorted) = }''')



