



class 						UpperCAmelCase_					:







							def __init__(     self):

														'''simple docstring'''

														_lowerCAmelCase  :							List[str]				     =					{}  # Mapping from char to TrieNode
														_lowerCAmelCase  :							List[Any]				     =					False







							def      snake_case__   (     self,    __a):

														'''simple docstring'''

														for word in words:
																					self.insert(UpperCamelCase__)







							def      snake_case__   (     self,    __a):

														'''simple docstring'''

														_lowerCAmelCase  :							Tuple				     =					self
														for char in word:
																					if char not in curr.nodes:
																												_lowerCAmelCase  :							Any				     =					TrieNode()
																					_lowerCAmelCase  :							Optional[int]				     =					curr.nodes[char]
														_lowerCAmelCase  :							Tuple				     =					True







							def      snake_case__   (     self,    __a):

														'''simple docstring'''

														_lowerCAmelCase  :							str				     =					self
														for char in word:
																					if char not in curr.nodes:
																												return False
																					_lowerCAmelCase  :							Union[str, Any]				     =					curr.nodes[char]
														return curr.is_leaf







							def      snake_case__   (     self,    __a):

														'''simple docstring'''

														def _delete(__a,    __a,    __a) -> bool:
																					if index == len(UpperCamelCase__):
																												# If word does not exist
																												if not curr.is_leaf:
																																			return False
																												_lowerCAmelCase  :							Tuple				     =					False
																												return len(curr.nodes) == 0
																					_lowerCAmelCase  :							Optional[Any]				     =					word[index]
																					_lowerCAmelCase  :							Tuple				     =					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  :							Tuple				     =					_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        A       (      _lowerCamelCase       ,				_lowerCamelCase						):





							'''simple docstring'''




							if node.is_leaf:
														print(A_       ,				end=" "						)

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






def        A       (      ):





							'''simple docstring'''




							_lowerCAmelCase  :							Union[str, Any]				     =					"banana bananas bandana band apple all beast".split()
							_lowerCAmelCase  :							Optional[int]				     =					TrieNode()
							root.insert_many(A_						)
							# print_words(root, "")
							assert all(root.find(A_						) 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        A       (      _lowerCamelCase       ,				_lowerCamelCase						):





							'''simple docstring'''




							print(str(A_						)       ,				"works!" if passes else "doesn't work :("						)






def        A       (      ):





							'''simple docstring'''




							assert test_trie()






def        A       (      ):





							'''simple docstring'''




							print_results("Testing trie functionality"       ,				test_trie()						)


if __name__ == "__main__":
						main()





def        A       (      _lowerCamelCase       ,				_lowerCamelCase       ,				_lowerCamelCase						):





							'''simple docstring'''




							def count_of_possible_combinations(_lowerCamelCase						) -> int:
														if target < 0:
																					return 0
														if target == 0:
																					return 1
														return sum(count_of_possible_combinations(target - item						) for item in array						)

							return count_of_possible_combinations(_lowerCamelCase						)






def        A       (      _lowerCamelCase       ,				_lowerCamelCase       ,				_lowerCamelCase						):





							'''simple docstring'''




							def count_of_possible_combinations_with_dp_array(
							    _lowerCamelCase       ,				_lowerCamelCase						) -> int:
														if target < 0:
																					return 0
														if target == 0:
																					return 1
														if dp_array[target] != -1:
																					return dp_array[target]
														_lowerCAmelCase  :							Optional[int]				     =					sum(
														    count_of_possible_combinations_with_dp_array(target - item       ,				_lowerCamelCase						)
														    for item in array						)
														_lowerCAmelCase  :							Any				     =					answer
														return answer

							_lowerCAmelCase  :							List[Any]				     =					[-1] * (target + 1)
							return count_of_possible_combinations_with_dp_array(_lowerCamelCase       ,				_lowerCamelCase						)






def        A       (      _lowerCamelCase       ,				_lowerCamelCase       ,				_lowerCamelCase						):





							'''simple docstring'''




							_lowerCAmelCase  :							List[Any]				     =					[0] * (target + 1)
							_lowerCAmelCase  :							List[str]				     =					1

							for i in range(1       ,				target + 1						):
														for j in range(_lowerCamelCase						):
																					if i - array[j] >= 0:
																												dp_array[i] += dp_array[i - array[j]]

							return dp_array[target]


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						_snake_case	=						3
						_snake_case	=						5
						_snake_case	=						[1, 2, 5]
						print(combination_sum_iv(n, array, target))
