

def       __lowerCamelCase			(				UpperCamelCase__   ):







       '''simple docstring'''






       snake_case_           =					0
       snake_case_           =					len(snake_case__   )

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

       return num_inversions





def       __lowerCamelCase			(				UpperCamelCase__   ):







       '''simple docstring'''






       if len(snake_case__   ) <= 1:
              return arr, 0
       snake_case_           =					len(snake_case__   ) // 2
       snake_case_           =					arr[0:mid]
       snake_case_           =					arr[mid:]

       snake_case_       ,					snake_case_           =					count_inversions_recursive(snake_case__   )
       snake_case_       ,					snake_case_           =					count_inversions_recursive(snake_case__   )
       snake_case_       ,					snake_case_           =					_count_cross_inversions(snake_case__     ,							snake_case__   )

       snake_case_           =					inversion_p + inversions_q + cross_inversions
       return c, num_inversions





def       __lowerCamelCase			(				UpperCamelCase__     ,							UpperCamelCase__   ):







       '''simple docstring'''






       snake_case_           =					[]
       snake_case_           =					snake_case_           =					snake_case_           =					0
       while i < len(snake_case__   ) and j < len(snake_case__   ):
              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(snake_case__   ) - i
                     r.append(q[j]   )
                     j += 1
              else:
                     r.append(p[i]   )
                     i += 1

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

       return r, num_inversion





def       __lowerCamelCase			(				):







       '''simple docstring'''






       snake_case_           =					[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)

       snake_case_           =					count_inversions_bf(snake_case__   )
       snake_case_       ,					snake_case_           =					count_inversions_recursive(snake_case__   )

       assert num_inversions_bf == num_inversions_recursive == 8

       print('number of inversions = '     ,							snake_case__   )

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

       arr_a.sort()
       snake_case_           =					count_inversions_bf(snake_case__   )
       snake_case_       ,					snake_case_           =					count_inversions_recursive(snake_case__   )

       assert num_inversions_bf == num_inversions_recursive == 0
       print('number of inversions = '     ,							snake_case__   )

       # an empty list should also have zero inversions
       snake_case_           =					[]
       snake_case_           =					count_inversions_bf(snake_case__   )
       snake_case_       ,					snake_case_           =					count_inversions_recursive(snake_case__   )

       assert num_inversions_bf == num_inversions_recursive == 0
       print('number of inversions = '     ,							snake_case__   )


if __name__ == "__main__":
     main()







# NOTE: This file is deprecated and will be removed in a future version.
# It only exists so that temporarely `from diffusers.pipelines import DiffusionPipeline` works
from ...utils import deprecate
from ..controlnet.multicontrolnet import MultiControlNetModel  # noqa: F401
from ..controlnet.pipeline_controlnet import StableDiffusionControlNetPipeline  # noqa: F401


deprecate(
    """stable diffusion controlnet""",
    """0.22.0""",
    """Importing `StableDiffusionControlNetPipeline` or `MultiControlNetModel` from diffusers.pipelines.stable_diffusion.pipeline_stable_diffusion_controlnet is deprecated. Please import `from diffusers import StableDiffusionControlNetPipeline` instead.""",
    standard_warn=False,
    stacklevel=3,
)




