


from __future__ import annotations

__UpperCamelCase     		=							'''#'''







class 							lowerCamelCase__						:






			"""simple docstring"""






			def __init__(				self  ):

						'''simple docstring'''


						UpperCamelCase__       =							{}




			def 					snake_case__					(				self   ,    snake_case  ):

						'''simple docstring'''


						UpperCamelCase__       =							self._trie
						for char in text:
									if char not in trie:
												UpperCamelCase__       =							{}
									UpperCamelCase__       =							trie[char]
						UpperCamelCase__       =							True




			def 					snake_case__					(				self   ,    snake_case  ):

						'''simple docstring'''


						UpperCamelCase__       =							self._trie
						for char in prefix:
									if char in trie:
												UpperCamelCase__       =							trie[char]
									else:
												return []
						return self._elements(lowercase__  )







			def 					snake_case__					(				self   ,    snake_case  ):

						'''simple docstring'''


						UpperCamelCase__       =							[]
						for c, v in d.items():
									UpperCamelCase__       =							[" "] if c == END else [(c + s) for s in self._elements(lowercase__  )]
									result.extend(lowercase__  )
						return tuple(lowercase__  )



__UpperCamelCase     		=							Trie()
__UpperCamelCase     		=							('''depart''', '''detergent''', '''daring''', '''dog''', '''deer''', '''deal''')
for word in words:
						trie.insert_word(word)
def 							UpperCamelCase_(					_A :Union[str, Any]	)->		Dict:
			UpperCamelCase__       =							trie.find_word(_A	)
			return tuple(string + word for word in suffixes	)
def 							UpperCamelCase_(					)->		Any:
			print(autocomplete_using_trie("de"	)	)


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()



from math import ceil, sqrt






def _lowerCamelCase  (		snake_case = 1_000_000  ):
							_lowerCAmelCase							=							0

							for outer_width in range(3     , (limit // 4) + 2  ):
														if outer_width**2 > limit:
																					_lowerCAmelCase							=							max(ceil(sqrt(outer_width**2 - limit  )  )     , 1  )
														else:
																					_lowerCAmelCase							=							1
														if (outer_width - hole_width_lower_bound) % 2:
																					hole_width_lower_bound += 1

														answer += (outer_width - hole_width_lower_bound - 2) // 2 + 1

							return answer


if __name__ == "__main__":
				print(f"""{solution() = }""")






