

def 			A_      (    _UpperCAmelCase    ):
						SCREAMING_SNAKE_CASE_: Union[str, Any]  		=       0
						SCREAMING_SNAKE_CASE_: Any  		=       len(_UpperCAmelCase    )

						for i in range(n - 1    ):
												for j in range(i + 1				,	_UpperCAmelCase    ):
																		if arr[i] > arr[j]:
																								num_inversions += 1

						return num_inversions







def 			A_      (    _UpperCAmelCase    ):
						if len(_UpperCAmelCase    ) <= 1:
												return arr, 0
						SCREAMING_SNAKE_CASE_: str  		=       len(_UpperCAmelCase    ) // 2
						SCREAMING_SNAKE_CASE_: List[str]  		=       arr[0:mid]
						SCREAMING_SNAKE_CASE_: Dict  		=       arr[mid:]

						SCREAMING_SNAKE_CASE_		,    SCREAMING_SNAKE_CASE_: Tuple  		=       count_inversions_recursive(_UpperCAmelCase    )
						SCREAMING_SNAKE_CASE_		,    SCREAMING_SNAKE_CASE_: Any  		=       count_inversions_recursive(_UpperCAmelCase    )
						SCREAMING_SNAKE_CASE_		,    SCREAMING_SNAKE_CASE_: List[Any]  		=       _count_cross_inversions(_UpperCAmelCase				,	_UpperCAmelCase    )

						SCREAMING_SNAKE_CASE_: List[str]  		=       inversion_p + inversions_q + cross_inversions
						return c, num_inversions







def 			A_      (    _UpperCAmelCase				,	_UpperCAmelCase    ):
						SCREAMING_SNAKE_CASE_: Dict  		=       []
						SCREAMING_SNAKE_CASE_: List[Any]  		=       0
						while i < len(_UpperCAmelCase    ) and j < len(_UpperCAmelCase    ):
												if p[i] > q[j]:
																		# if P[1] > Q[j], then P[k] > Q[k] for all  i < k <= len(P)
																		# These are all inversions. The claim emerges from the
																		# property that P is sorted.
																		num_inversion += len(_UpperCAmelCase    ) - i
																		r.append(q[j]    )
																		j += 1
												else:
																		r.append(p[i]    )
																		i += 1

						if i < len(_UpperCAmelCase    ):
												r.extend(p[i:]    )
						else:
												r.extend(q[j:]    )

						return r, num_inversion







def 			A_      (    ):
						SCREAMING_SNAKE_CASE_: Union[str, Any]  		=       [10, 2, 1, 5, 5, 2, 11]

						# this arr has 8 inversions:
						# (10, 2), (10, 1), (10, 5), (10, 5), (10, 2), (2, 1), (5, 2), (5, 2)

						SCREAMING_SNAKE_CASE_: Optional[int]  		=       count_inversions_bf(_UpperCAmelCase    )
						SCREAMING_SNAKE_CASE_		,    SCREAMING_SNAKE_CASE_: List[Any]  		=       count_inversions_recursive(_UpperCAmelCase    )

						assert num_inversions_bf == num_inversions_recursive == 8

						print("number of inversions = "				,	_UpperCAmelCase    )

						# testing an array with zero inversion (a sorted arr_1)

						arr_a.sort()
						SCREAMING_SNAKE_CASE_: str  		=       count_inversions_bf(_UpperCAmelCase    )
						SCREAMING_SNAKE_CASE_		,    SCREAMING_SNAKE_CASE_: Optional[Any]  		=       count_inversions_recursive(_UpperCAmelCase    )

						assert num_inversions_bf == num_inversions_recursive == 0
						print("number of inversions = "				,	_UpperCAmelCase    )

						# an empty list should also have zero inversions
						SCREAMING_SNAKE_CASE_: List[Any]  		=       []
						SCREAMING_SNAKE_CASE_: Union[str, Any]  		=       count_inversions_bf(_UpperCAmelCase    )
						SCREAMING_SNAKE_CASE_		,    SCREAMING_SNAKE_CASE_: Union[str, Any]  		=       count_inversions_recursive(_UpperCAmelCase    )

						assert num_inversions_bf == num_inversions_recursive == 0
						print("number of inversions = "				,	_UpperCAmelCase    )


if __name__ == "__main__":
						main()









from ...utils import (
    OptionalDependencyNotAvailable,
    is_torch_available,
    is_transformers_available,
    is_transformers_version,
)


try:
						if not (is_transformers_available() and is_torch_available() and is_transformers_version(""">=""", """4.25.0""")):
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						from ...utils.dummy_torch_and_transformers_objects import UnCLIPImageVariationPipeline, UnCLIPPipeline
else:
						from .pipeline_unclip import UnCLIPPipeline
						from .pipeline_unclip_image_variation import UnCLIPImageVariationPipeline
						from .text_proj import UnCLIPTextProjModel






