



'''simple docstring'''




from __future__ import annotations



def      a      (			lowerCamelCase__						,				lowerCamelCase__						,				lowerCamelCase__						,				lowerCamelCase__   ):  # noqa: E741
			'''simple docstring'''





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



def      a      (			lowerCamelCase__   ):
			'''simple docstring'''





			if len(lowerCamelCase__   ) == 0:
						return 0

			A_     :						Tuple     =					[0] * len(lowerCamelCase__   )
			A_     :						Any     =					1

			A_     :						Dict     =					v[0]

			for i in range(1						,				len(lowerCamelCase__   )   ):
						if v[i] < tail[0]:
									A_     :						List[Any]     =					v[i]
						elif v[i] > tail[length - 1]:
									A_     :						Any     =					v[i]
									length += 1
						else:
									A_     :						Tuple     =					v[i]

			return length


if __name__ == "__main__":
						import doctest

						doctest.testmod()




'''simple docstring'''




from maths.is_square_free import is_square_free
from maths.prime_factors import prime_factors



def      a      (			lowerCamelCase__   ):
			'''simple docstring'''





			A_     :						List[Any]     =					prime_factors(lowerCamelCase__   )
			if is_square_free(lowerCamelCase__   ):
						return -1 if len(lowerCamelCase__   ) % 2 else 1
			return 0


if __name__ == "__main__":
						import doctest

						doctest.testmod()