


def   _lowercase(					__a				:						str    ,     __a				:						str     ):
							assert x is not None
							assert y is not None

							a__      =len(__a     )
							a__      =len(__a     )

							# declaring the array for storing the dp values
							a__      =[[0] * (n + 1) for _ in range(m + 1     )]  # noqa: E741

							for i in range(1    ,     m + 1     ):
														for j in range(1    ,     n + 1     ):
																					a__      =1 if x[i - 1] == y[j - 1] else 0

																					a__      =max(l[i - 1][j]    ,     l[i][j - 1]    ,     l[i - 1][j - 1] + match     )

							a__      =''
							a__    ,     a__      =m, n
							while i > 0 and j > 0:
														a__      =1 if x[i - 1] == y[j - 1] else 0

														if l[i][j] == l[i - 1][j - 1] + match:
																					if match == 1:
																												a__      =x[i - 1] + seq
																					i -= 1
																					j -= 1
														elif l[i][j] == l[i - 1][j]:
																					i -= 1
														else:
																					j -= 1

							return l[m][n], seq


if __name__ == "__main__":
	_lowerCAmelCase:						List[Any]   				=       'AGGTAB'
	_lowerCAmelCase:						Optional[int]   				=       'GXTXAYB'
	_lowerCAmelCase:						Optional[int]   				=       4
	_lowerCAmelCase:						List[Any]   				=       'GTAB'

	_lowerCAmelCase				,						_lowerCAmelCase:						Tuple   				=       longest_common_subsequence(a, b)
	print('len =', ln, ', sub-sequence =', subseq)
	import doctest

	doctest.testmod()





from __future__ import annotations

_lowerCAmelCase:						str   				=       '#'




class       lowercase_					:





				def __init__(				self)  -> None:
											a__      ={}





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> None:
											a__      =self._trie
											for char in text:
																		if char not in trie:
																									a__      ={}
																		a__      =trie[char]
											a__      =True





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> tuple | list:
											a__      =self._trie
											for char in prefix:
																		if char in trie:
																									a__      =trie[char]
																		else:
																									return []
											return self._elements(lowercase_)





				def 						__UpperCamelCase    (				self       ,  lowercase_)  -> tuple:
											a__      =[]
											for c, v in d.items():
																		a__      =[' '] if c == END else [(c + s) for s in self._elements(lowercase_)]
																		result.extend(lowercase_)
											return tuple(lowercase_)







_lowerCAmelCase:						Optional[int]   				=       Trie()
_lowerCAmelCase:						List[str]   				=       ('depart', 'detergent', 'daring', 'dog', 'deer', 'deal')
for word in words:
	trie.insert_word(word)






def   _lowercase(					__a				:						str     ):
							a__      =trie.find_word(__a     )
							return tuple(string + word for word in suffixes     )






def   _lowercase(					):
							print(autocomplete_using_trie('de'     )     )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()

