


def      lowerCAmelCase	(						lowerCAmelCase_	)->	list:
				lowerCAmelCase_	: Optional[Any]      			=			len(SCREAMING_SNAKE_CASE_	)

				# Set the gap value to be decreased by a factor of 1.3
				# after each iteration
				lowerCAmelCase_	: Tuple      			=			1.3

				# Continue sorting until the gap is 1
				while gap > 1:
								# Decrease the gap value
								lowerCAmelCase_	: Tuple      			=			int(gap / shrink	)

								# Sort the elements using insertion sort
								for i in range(SCREAMING_SNAKE_CASE_	,				len(SCREAMING_SNAKE_CASE_	)	):
												lowerCAmelCase_	: int      			=			collection[i]
												lowerCAmelCase_	: Union[str, Any]      			=			i
												while j >= gap and collection[j - gap] > temp:
																lowerCAmelCase_	: str      			=			collection[j - gap]
																j -= gap
												lowerCAmelCase_	: List[Any]      			=			temp

				return collection


if __name__ == "__main__":
						import doctest

						doctest.testmod()



from __future__ import annotations



def      lowerCAmelCase	(						lowerCAmelCase_	,				lowerCAmelCase_	,				lowerCAmelCase_	)->	int | float:
				if len(lowerCAmelCase_	) == 0:
								raise ValueError('''find_min() arg is an empty sequence'''	)
				if (
				    left >= len(lowerCAmelCase_	)
				    or left < -len(lowerCAmelCase_	)
				    or right >= len(lowerCAmelCase_	)
				    or right < -len(lowerCAmelCase_	)
				):
								raise IndexError('''list index out of range'''	)
				if left == right:
								return nums[left]
				lowerCAmelCase_	: Any      			=			(left + right) >> 1  # the middle
				lowerCAmelCase_	: Tuple      			=			find_min(lowerCAmelCase_	,				lowerCAmelCase_	,				lowerCAmelCase_	)  # find min in range[left, mid]
				lowerCAmelCase_	: Any      			=			find_min(lowerCAmelCase_	,				mid + 1	,				lowerCAmelCase_	)  # find min in range[mid + 1, right]

				return left_min if left_min <= right_min else right_min


if __name__ == "__main__":
						import doctest

						doctest.testmod(verbose=True)