


"""simple docstring"""




def        lowercase     (SCREAMING_SNAKE_CASE_						:							str					,     SCREAMING_SNAKE_CASE_						:							str    )  ->		Optional[int]:
						assert x is not None
						assert y is not None

						SCREAMING_SNAKE_CASE						=   len(__lowerCamelCase    )
						SCREAMING_SNAKE_CASE						=   len(__lowerCamelCase    )

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

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

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

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

												if l[i][j] == l[i - 1][j - 1] + match:
																		if match == 1:
																								SCREAMING_SNAKE_CASE						=   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__":
	__UpperCamelCase		= '''AGGTAB'''
	__UpperCamelCase		= '''GXTXAYB'''
	__UpperCamelCase		= 4
	__UpperCamelCase		= '''GTAB'''

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

	doctest.testmod()




__lowerCamelCase				=			{
    0: """0""",
    1: """1""",
    2: """2""",
    3: """3""",
    4: """4""",
    5: """5""",
    6: """6""",
    7: """7""",
    8: """8""",
    9: """9""",
    10: """a""",
    11: """b""",
    12: """c""",
    13: """d""",
    14: """e""",
    15: """f""",
}


def      UpperCamelCase   (       __lowerCamelCase	:					float       ):
       assert type(__lowerCamelCase       ) in (int, float) and decimal == int(__lowerCamelCase       )
       snake_case			:  str     							= int(__lowerCamelCase       )
       snake_case			:  str     							= ""
       snake_case			:  str     							= False
       if decimal < 0:
              snake_case			:  Optional[Any]     							= True
              decimal *= -1
       while decimal > 0:
              snake_case							,   snake_case			:  Union[str, Any]     							= divmod(__lowerCamelCase							,   16       )
              snake_case			:  Tuple     							= values[remainder] + hexadecimal
       snake_case			:  Tuple     							= "0x" + hexadecimal
       if negative:
              snake_case			:  Any     							= "-" + hexadecimal
       return hexadecimal


if __name__ == "__main__":
   import doctest

   doctest.testmod()





