



class       _SCREAMING_SNAKE_CASE	:





     def __init__(       self :							Dict     ,  UpperCamelCase :							str = ""     ,  UpperCamelCase :							bool = False				)->None:
      # Mapping from the first character of the prefix of the node
      __SCREAMING_SNAKE_CASE       :    dict[str, RadixNode]       =	{}

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

      __SCREAMING_SNAKE_CASE       :    Any       =	prefix





     def 	__snake_case    (       self :							List[str]     ,  UpperCamelCase :							str				)->tuple[str, str, str]:
      __SCREAMING_SNAKE_CASE       :    str       =	0
      for q, w in zip(self.prefix     ,  UpperCamelCase				):
       if q != w:
        break

       x += 1

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





     def 	__snake_case    (       self :							Dict     ,  UpperCamelCase :							list[str]				)->None:
      for word in words:
       self.insert(UpperCamelCase				)





     def 	__snake_case    (       self :							Any     ,  UpperCamelCase :							str				)->None:
      # Case 1: If the word is the prefix of the node
      # Solution: We set the current node as leaf
      if self.prefix == word:
       __SCREAMING_SNAKE_CASE       :    Tuple       =	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       :    List[Any]       =	RadixNode(prefix=UpperCamelCase     ,  is_leaf=UpperCamelCase				)

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

       # 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(UpperCamelCase				)

       # 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       :    str       =	remaining_prefix

        __SCREAMING_SNAKE_CASE       :    List[str]       =	self.nodes[matching_string[0]]
        __SCREAMING_SNAKE_CASE       :    Tuple       =	RadixNode(UpperCamelCase     ,  UpperCamelCase				)
        __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	aux_node

        if remaining_word == "":
         __SCREAMING_SNAKE_CASE       :    Optional[Any]       =	True
        else:
         self.nodes[matching_string[0]].insert(UpperCamelCase				)





     def 	__snake_case    (       self :							List[str]     ,  UpperCamelCase :							str				)->bool:
      __SCREAMING_SNAKE_CASE       :    Any       =	self.nodes.get(word[0]     ,  UpperCamelCase				)
      if not incoming_node:
       return False
      else:
       __SCREAMING_SNAKE_CASE,		__SCREAMING_SNAKE_CASE,		__SCREAMING_SNAKE_CASE       :    Optional[int]       =	incoming_node.match(
           UpperCamelCase				)
       # 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(UpperCamelCase				)





     def 	__snake_case    (       self :							Union[str, Any]     ,  UpperCamelCase :							str				)->bool:
      __SCREAMING_SNAKE_CASE       :    int       =	self.nodes.get(word[0]     ,  UpperCamelCase				)
      if not incoming_node:
       return False
      else:
       __SCREAMING_SNAKE_CASE,		__SCREAMING_SNAKE_CASE,		__SCREAMING_SNAKE_CASE       :    int       =	incoming_node.match(
           UpperCamelCase				)
       # 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(UpperCamelCase				)
       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       :    Dict       =	list(self.nodes.values()				)[0]
           __SCREAMING_SNAKE_CASE       :    Optional[Any]       =	merging_node.is_leaf
           self.prefix += merging_node.prefix
           __SCREAMING_SNAKE_CASE       :    List[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       :    Dict       =	list(incoming_node.nodes.values()				)[0]
          __SCREAMING_SNAKE_CASE       :    str       =	merging_node.is_leaf
          incoming_node.prefix += merging_node.prefix
          __SCREAMING_SNAKE_CASE       :    Dict       =	merging_node.nodes

         return True






     def 	__snake_case    (       self :							List[str]     ,  UpperCamelCase :							int = 0				)->None:
      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						(				):



 """simple docstring"""





 __SCREAMING_SNAKE_CASE       :    Any       =	"banana bananas bandana band apple all beast".split()
 __SCREAMING_SNAKE_CASE       :    List[str]       =	RadixNode()
 root.insert_many(__lowerCamelCase     )

 assert all(root.find(__lowerCamelCase     ) 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						(				):



 """simple docstring"""





 assert test_trie()






def 	_lowerCAmelCase						(				):



 """simple docstring"""





 __SCREAMING_SNAKE_CASE       :    Any       =	RadixNode()
 __SCREAMING_SNAKE_CASE       :    List[str]       =	"banana bananas bandanas bandana band apple all beast".split()
 root.insert_many(__lowerCamelCase     )

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


if __name__ == "__main__":
      main()











from collections.abc import Generator
from math import sin






def 	_lowerCAmelCase						(				__lowerCamelCase   :     bytes     ):



 """simple docstring"""





 if len(__lowerCamelCase     ) != 32:
  raise ValueError("Input must be of length 32"     )

 __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	b""
 for i in [3, 2, 1, 0]:
  little_endian += string_aa[8 * i : 8 * i + 8]
 return little_endian






def 	_lowerCAmelCase						(				__lowerCamelCase   :     int     ):



 """simple docstring"""





 if i < 0:
  raise ValueError("Input must be non-negative"     )

 __SCREAMING_SNAKE_CASE       :    Any       =	format(__lowerCamelCase		,	"08x"     )[-8:]
 __SCREAMING_SNAKE_CASE       :    Optional[Any]       =	b""
 for i in [3, 2, 1, 0]:
  little_endian_hex += hex_rep[2 * i : 2 * i + 2].encode("utf-8"     )
 return little_endian_hex






def 	_lowerCAmelCase						(				__lowerCamelCase   :     bytes     ):



 """simple docstring"""





 __SCREAMING_SNAKE_CASE       :    Any       =	b""
 for char in message:
  bit_string += format(__lowerCamelCase		,	"08b"     ).encode("utf-8"     )
 __SCREAMING_SNAKE_CASE       :    List[str]       =	format(len(__lowerCamelCase     )		,	"064b"     ).encode("utf-8"     )

 # Pad bit_string to a multiple of 512 chars
 bit_string += b"1"
 while len(__lowerCamelCase     ) % 512 != 448:
  bit_string += b"0"
 bit_string += to_little_endian(start_len[32:]     ) + to_little_endian(start_len[:32]     )

 return bit_string






def 	_lowerCAmelCase						(				__lowerCamelCase   :     bytes     ):



 """simple docstring"""





 if len(__lowerCamelCase     ) % 512 != 0:
  raise ValueError("Input must have length that's a multiple of 512"     )

 for pos in range(0		,	len(__lowerCamelCase     )		,	512     ):
  __SCREAMING_SNAKE_CASE       :    int       =	bit_string[pos : pos + 512]
  __SCREAMING_SNAKE_CASE       :    Tuple       =	[]
  for i in range(0		,	512		,	32     ):
   block_words.append(int(to_little_endian(block[i : i + 32]     )		,	2     )     )
  yield block_words






def 	_lowerCAmelCase						(				__lowerCamelCase   :     int     ):



 """simple docstring"""





 if i < 0:
  raise ValueError("Input must be non-negative"     )

 __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	format(__lowerCamelCase		,	"032b"     )
 __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	""
 for c in i_str:
  new_str += "1" if c == "0" else "0"
 return int(__lowerCamelCase		,	2     )






def 	_lowerCAmelCase						(				__lowerCamelCase   :     int		,	__lowerCamelCase   :     int     ):



 """simple docstring"""





 return (a + b) % 2**32






def 	_lowerCAmelCase						(				__lowerCamelCase   :     int		,	__lowerCamelCase   :     int     ):



 """simple docstring"""





 if i < 0:
  raise ValueError("Input must be non-negative"     )
 if shift < 0:
  raise ValueError("Shift must be non-negative"     )
 return ((i << shift) ^ (i >> (32 - shift))) % 2**32






def 	_lowerCAmelCase						(				__lowerCamelCase   :     bytes     ):



 """simple docstring"""





 __SCREAMING_SNAKE_CASE       :    Tuple       =	preprocess(__lowerCamelCase     )

 __SCREAMING_SNAKE_CASE       :    List[Any]       =	[int(2**32 * abs(sin(i + 1     )     )     ) for i in range(64     )]

 # Starting states
 __SCREAMING_SNAKE_CASE       :    Tuple       =	0X67452301
 __SCREAMING_SNAKE_CASE       :    Optional[Any]       =	0Xefcdab89
 __SCREAMING_SNAKE_CASE       :    Optional[int]       =	0X98badcfe
 __SCREAMING_SNAKE_CASE       :    Optional[Any]       =	0X10325476

 __SCREAMING_SNAKE_CASE       :    List[Any]       =	[
     7,
     12,
     17,
     22,
     7,
     12,
     17,
     22,
     7,
     12,
     17,
     22,
     7,
     12,
     17,
     22,
     5,
     9,
     14,
     20,
     5,
     9,
     14,
     20,
     5,
     9,
     14,
     20,
     5,
     9,
     14,
     20,
     4,
     11,
     16,
     23,
     4,
     11,
     16,
     23,
     4,
     11,
     16,
     23,
     4,
     11,
     16,
     23,
     6,
     10,
     15,
     21,
     6,
     10,
     15,
     21,
     6,
     10,
     15,
     21,
     6,
     10,
     15,
     21,
 ]

 # Process bit string in chunks, each with 16 32-char words
 for block_words in get_block_words(__lowerCamelCase     ):
  __SCREAMING_SNAKE_CASE       :    Any       =	aa
  __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	ba
  __SCREAMING_SNAKE_CASE       :    str       =	ca
  __SCREAMING_SNAKE_CASE       :    Dict       =	da

  # Hash current chunk
  for i in range(64     ):
   if i <= 15:
    # f = (b & c) | (not_32(b) & d)     # Alternate definition for f
    __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	d ^ (b & (c ^ d))
    __SCREAMING_SNAKE_CASE       :    Optional[Any]       =	i
   elif i <= 31:
    # f = (d & b) | (not_32(d) & c)     # Alternate definition for f
    __SCREAMING_SNAKE_CASE       :    int       =	c ^ (d & (b ^ c))
    __SCREAMING_SNAKE_CASE       :    int       =	(5 * i + 1) % 16
   elif i <= 47:
    __SCREAMING_SNAKE_CASE       :    List[str]       =	b ^ c ^ d
    __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	(3 * i + 5) % 16
   else:
    __SCREAMING_SNAKE_CASE       :    Any       =	c ^ (b | not_aa(__lowerCamelCase     ))
    __SCREAMING_SNAKE_CASE       :    str       =	(7 * i) % 16
   __SCREAMING_SNAKE_CASE       :    List[str]       =	(f + a + added_consts[i] + block_words[g]) % 2**32
   __SCREAMING_SNAKE_CASE       :    Dict       =	d
   __SCREAMING_SNAKE_CASE       :    str       =	c
   __SCREAMING_SNAKE_CASE       :    Tuple       =	b
   __SCREAMING_SNAKE_CASE       :    Optional[int]       =	sum_aa(__lowerCamelCase		,	left_rotate_aa(__lowerCamelCase		,	shift_amounts[i]     )     )

  # Add hashed chunk to running total
  __SCREAMING_SNAKE_CASE       :    Dict       =	sum_aa(__lowerCamelCase		,	__lowerCamelCase     )
  __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	sum_aa(__lowerCamelCase		,	__lowerCamelCase     )
  __SCREAMING_SNAKE_CASE       :    Union[str, Any]       =	sum_aa(__lowerCamelCase		,	__lowerCamelCase     )
  __SCREAMING_SNAKE_CASE       :    str       =	sum_aa(__lowerCamelCase		,	__lowerCamelCase     )

 __SCREAMING_SNAKE_CASE       :    List[str]       =	reformat_hex(__lowerCamelCase     ) + reformat_hex(__lowerCamelCase     ) + reformat_hex(__lowerCamelCase     ) + reformat_hex(__lowerCamelCase     )
 return digest


if __name__ == "__main__":
      import doctest

      doctest.testmod()






