

from __future__ import annotations



def 					lowerCAmelCase__							(	SCREAMING_SNAKE_CASE_:							Any	,       SCREAMING_SNAKE_CASE_:							Any	,       SCREAMING_SNAKE_CASE_:							int	,       SCREAMING_SNAKE_CASE_:							Union[str, Any]      )			->      str:  # noqa: E741




				'''simple docstring'''





				while r - l > 1:
								A__        =			(l + r) // 2
								if v[m] >= key:
												A__        =			m
								else:
												A__        =			m  # noqa: E741
				return r



def 					lowerCAmelCase__							(	SCREAMING_SNAKE_CASE_:							list[int]      )			->      Tuple:




				'''simple docstring'''





				if len(_lowerCamelCase      ) == 0:
								return 0

				A__        =			[0] * len(_lowerCamelCase      )
				A__        =			1

				A__        =			v[0]

				for i in range(1	,       len(_lowerCamelCase      )      ):
								if v[i] < tail[0]:
												A__        =			v[i]
								elif v[i] > tail[length - 1]:
												A__        =			v[i]
												length += 1
								else:
												A__        =			v[i]

				return length


if __name__ == "__main__":
	import doctest

	doctest.testmod()




def 					lowerCAmelCase__							(	SCREAMING_SNAKE_CASE_:							int      )			->      int:




				'''simple docstring'''





				if divisor % 5 == 0 or divisor % 2 == 0:
								return 0
				A__        =			1
				A__        =			1
				while repunit:
								A__        =			(1_0 * repunit + 1) % divisor
								repunit_index += 1
				return repunit_index



def 					lowerCAmelCase__							(	SCREAMING_SNAKE_CASE_:							int = 1_0_0_0_0_0_0      )			->      int:




				'''simple docstring'''





				A__        =			limit - 1
				if divisor % 2 == 0:
								divisor += 1
				while least_divisible_repunit(SCREAMING_SNAKE_CASE_      ) <= limit:
								divisor += 2
				return divisor


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

