



'''simple docstring'''




class 						_UpperCamelCase  :


			'''simple docstring'''

			def __init__(							self     : str							,     lowerCAmelCase__     : str = ""							,     lowerCAmelCase__     : bool = False						):





					"""simple docstring"""






					__SCREAMING_SNAKE_CASE       :		dict[str, RadixNode]           =		{}

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

					__SCREAMING_SNAKE_CASE       :		Any           =		prefix

			def UpperCamelCase__					(							self     : str							,     lowerCAmelCase__     : str						):





					"""simple docstring"""






					__SCREAMING_SNAKE_CASE       :		Optional[Any]           =		0
					for q, w in zip(self.prefix							,     lowerCAmelCase__						):
							if q != w:
									break

							x += 1

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

			def UpperCamelCase__					(							self     : int							,     lowerCAmelCase__     : list[str]						):





					"""simple docstring"""






					for word in words:
							self.insert(lowerCAmelCase__						)

			def UpperCamelCase__					(							self     : Union[str, Any]							,     lowerCAmelCase__     : str						):





					"""simple docstring"""






					if self.prefix == word:
							__SCREAMING_SNAKE_CASE       :		List[str]           =		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       :		Union[str, Any]           =		RadixNode(prefix=lowerCAmelCase__							,     is_leaf=lowerCAmelCase__						)

					else:
							__SCREAMING_SNAKE_CASE       :		str           =		self.nodes[word[0]]
							__SCREAMING_SNAKE_CASE       ,						__SCREAMING_SNAKE_CASE       ,						__SCREAMING_SNAKE_CASE       :		Union[str, Any]           =		incoming_node.match(
							    lowerCAmelCase__						)

							# 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(lowerCAmelCase__						)

							# 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       :		Dict           =		remaining_prefix

									__SCREAMING_SNAKE_CASE       :		int           =		self.nodes[matching_string[0]]
									__SCREAMING_SNAKE_CASE       :		List[str]           =		RadixNode(lowerCAmelCase__							,     lowerCAmelCase__						)
									__SCREAMING_SNAKE_CASE       :		List[str]           =		aux_node

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

			def UpperCamelCase__					(							self     : Union[str, Any]							,     lowerCAmelCase__     : str						):





					"""simple docstring"""






					__SCREAMING_SNAKE_CASE       :		Any           =		self.nodes.get(word[0]							,     lowerCAmelCase__						)
					if not incoming_node:
							return False
					else:
							__SCREAMING_SNAKE_CASE       ,						__SCREAMING_SNAKE_CASE       ,						__SCREAMING_SNAKE_CASE       :		int           =		incoming_node.match(
							    lowerCAmelCase__						)
							# 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(lowerCAmelCase__						)

			def UpperCamelCase__					(							self     : int							,     lowerCAmelCase__     : str						):





					"""simple docstring"""






					__SCREAMING_SNAKE_CASE       :		Dict           =		self.nodes.get(word[0]							,     lowerCAmelCase__						)
					if not incoming_node:
							return False
					else:
							__SCREAMING_SNAKE_CASE       ,						__SCREAMING_SNAKE_CASE       ,						__SCREAMING_SNAKE_CASE       :		List[str]           =		incoming_node.match(
							    lowerCAmelCase__						)
							# 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(lowerCAmelCase__						)
							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       :		Optional[Any]           =		list(self.nodes.values()						)[0]
															__SCREAMING_SNAKE_CASE       :		int           =		merging_node.is_leaf
															self.prefix += merging_node.prefix
															__SCREAMING_SNAKE_CASE       :		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       :		Tuple           =		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       :		int           =		merging_node.nodes

											return True



			def UpperCamelCase__					(							self     : Dict							,     lowerCAmelCase__     : int = 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 				lowerCAmelCase_   (	):
		__SCREAMING_SNAKE_CASE       :		Any           =		"""banana bananas bandana band apple all beast""".split()
		__SCREAMING_SNAKE_CASE       :		Dict           =		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_   (	):
		assert test_trie()


def 				lowerCAmelCase_   (	):
		__SCREAMING_SNAKE_CASE       :		List[str]           =		RadixNode()
		__SCREAMING_SNAKE_CASE       :		Optional[Any]           =		"""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()




'''simple docstring'''




import string

# frequency taken from https://en.wikipedia.org/wiki/Letter_frequency
UpperCamelCase__       :	List[Any]    = {
    '''E''': 1_2.7_0,
    '''T''': 9.0_6,
    '''A''': 8.1_7,
    '''O''': 7.5_1,
    '''I''': 6.9_7,
    '''N''': 6.7_5,
    '''S''': 6.3_3,
    '''H''': 6.0_9,
    '''R''': 5.9_9,
    '''D''': 4.2_5,
    '''L''': 4.0_3,
    '''C''': 2.7_8,
    '''U''': 2.7_6,
    '''M''': 2.4_1,
    '''W''': 2.3_6,
    '''F''': 2.2_3,
    '''G''': 2.0_2,
    '''Y''': 1.9_7,
    '''P''': 1.9_3,
    '''B''': 1.2_9,
    '''V''': 0.9_8,
    '''K''': 0.7_7,
    '''J''': 0.1_5,
    '''X''': 0.1_5,
    '''Q''': 0.1_0,
    '''Z''': 0.0_7,
}
UpperCamelCase__       :	Optional[Any]    = '''ETAOINSHRDLCUMWFGYPBVKJXQZ'''
UpperCamelCase__       :	Dict    = '''ABCDEFGHIJKLMNOPQRSTUVWXYZ'''


def 				lowerCAmelCase_   (	_lowerCamelCase:   str					):
		__SCREAMING_SNAKE_CASE       :		int           =		{letter: 0 for letter in string.ascii_uppercase}
		for letter in message.upper():
				if letter in LETTERS:
						letter_count[letter] += 1

		return letter_count


def 				lowerCAmelCase_   (	_lowerCamelCase:   tuple					):
		return x[0]


def 				lowerCAmelCase_   (	_lowerCamelCase:   str					):
		__SCREAMING_SNAKE_CASE       :		Dict           =		get_letter_count(_lowerCamelCase					)
		__SCREAMING_SNAKE_CASE       :		dict[int, list[str]]           =		{
		    freq: [] for letter, freq in letter_to_freq.items()
		}
		for letter in LETTERS:
				freq_to_letter[letter_to_freq[letter]].append(_lowerCamelCase					)

		__SCREAMING_SNAKE_CASE       :		dict[int, str]           =		{}

		for freq in freq_to_letter:
				freq_to_letter[freq].sort(key=ETAOIN.find       ,      reverse=_lowerCamelCase					)
				__SCREAMING_SNAKE_CASE       :		Tuple           =		"""""".join(freq_to_letter[freq]					)

		__SCREAMING_SNAKE_CASE       :		str           =		list(freq_to_letter_str.items()					)
		freq_pairs.sort(key=_lowerCamelCase       ,      reverse=_lowerCamelCase					)

		__SCREAMING_SNAKE_CASE       :		list[str]           =		[freq_pair[1] for freq_pair in freq_pairs]

		return "".join(_lowerCamelCase					)


def 				lowerCAmelCase_   (	_lowerCamelCase:   str					):
		__SCREAMING_SNAKE_CASE       :		List[Any]           =		get_frequency_order(_lowerCamelCase					)
		__SCREAMING_SNAKE_CASE       :		Union[str, Any]           =		0
		for common_letter in ETAOIN[:6]:
				if common_letter in freq_order[:6]:
						match_score += 1

		for uncommon_letter in ETAOIN[-6:]:
				if uncommon_letter in freq_order[-6:]:
						match_score += 1

		return match_score


if __name__ == "__main__":
						import doctest

						doctest.testmod()