




"""simple docstring"""


class _lowerCamelCase    :






   def __init__(		self       :		List[str]   )			->						None:

         """simple docstring"""
         lowerCAmelCase__      :			dict[str, TrieNode]   =	{}  # Mapping from char to TrieNode
         lowerCAmelCase__      :			int   =	False






   def 	_lowerCAmelCase   (		self       :		Tuple   ,     UpperCamelCase       :		list[str]   )			->						None:

         """simple docstring"""
         for word in words:
               self.insert(UpperCamelCase   )






   def 	_lowerCAmelCase   (		self       :		Any   ,     UpperCamelCase       :		str   )			->						None:

         """simple docstring"""
         lowerCAmelCase__      :			Tuple   =	self
         for char in word:
               if char not in curr.nodes:
                     lowerCAmelCase__      :			Dict   =	TrieNode()
               lowerCAmelCase__      :			Any   =	curr.nodes[char]
         lowerCAmelCase__      :			Any   =	True






   def 	_lowerCAmelCase   (		self       :		Optional[int]   ,     UpperCamelCase       :		str   )			->						bool:

         """simple docstring"""
         lowerCAmelCase__      :			Optional[int]   =	self
         for char in word:
               if char not in curr.nodes:
                     return False
               lowerCAmelCase__      :			Tuple   =	curr.nodes[char]
         return curr.is_leaf






   def 	_lowerCAmelCase   (		self       :		Dict   ,     UpperCamelCase       :		str   )			->						None:

         """simple docstring"""

         def _delete(UpperCamelCase       :		TrieNode   ,     UpperCamelCase       :		str   ,     UpperCamelCase       :		int   ) -> bool:
               if index == len(UpperCamelCase   ):
                     # If word does not exist
                     if not curr.is_leaf:
                           return False
                     lowerCAmelCase__      :			Union[str, Any]   =	False
                     return len(curr.nodes   ) == 0
               lowerCAmelCase__      :			str   =	word[index]
               lowerCAmelCase__      :			Optional[int]   =	curr.nodes.get(UpperCamelCase   )
               # If char not in current trie node
               if not char_node:
                     return False
               # Flag to check if node can be deleted
               lowerCAmelCase__      :			Optional[int]   =	_delete(UpperCamelCase   ,     UpperCamelCase   ,     index + 1   )
               if delete_curr:
                     del curr.nodes[char]
                     return len(curr.nodes   ) == 0
               return delete_curr

         _delete(self   ,     UpperCamelCase   ,     0   )






def 	lowercase_				(			__UpperCAmelCase    ,		__UpperCAmelCase				)						->    None:
      if node.is_leaf:
            print(__UpperCAmelCase    ,		end=""" """				)

      for key, value in node.nodes.items():
            print_words(__UpperCAmelCase    ,		word + key				)



def 	lowercase_				(			)						->    bool:
      lowerCAmelCase__      :			List[Any]   =	"""banana bananas bandana band apple all beast""".split()
      lowerCAmelCase__      :			int   =	TrieNode()
      root.insert_many(__UpperCAmelCase				)
      # print_words(root, "")
      assert all(root.find(__UpperCAmelCase				) for word in words				)
      assert root.find("""banana"""				)
      assert not root.find("""bandanas"""				)
      assert not root.find("""apps"""				)
      assert root.find("""apple"""				)
      assert root.find("""all"""				)
      root.delete("""all"""				)
      assert not root.find("""all"""				)
      root.delete("""banana"""				)
      assert not root.find("""banana"""				)
      assert root.find("""bananas"""				)
      return True



def 	lowercase_				(			__UpperCAmelCase    ,		__UpperCAmelCase				)						->    None:
      print(str(__UpperCAmelCase				)    ,		"""works!""" if passes else """doesn't work :("""				)



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



def 	lowercase_				(			)						->    None:
      print_results("""Testing trie functionality"""    ,		test_trie()				)


if __name__ == "__main__":
  main()











"""simple docstring"""


def 	lowercase_				(			__UpperCAmelCase    ,		__UpperCAmelCase				)						->    str:
      return "\n".join(
          f"""{number} * {i} = {number * i}""" for i in range(1    ,		number_of_terms + 1				)				)


if __name__ == "__main__":
  print(multiplication_table(number=5, number_of_terms=1_0))





