

'''simple docstring'''






def 						_A	(       A__ ):






 """simple docstring"""



 __lowercase				    =					0
 __lowercase				    =					len(A__ )

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

 return num_inversions


def 						_A	(       A__ ):






 """simple docstring"""



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

 __lowercase    ,      __lowercase				    =					count_inversions_recursive(A__ )
 __lowercase    ,      __lowercase				    =					count_inversions_recursive(A__ )
 __lowercase    ,      __lowercase				    =					_count_cross_inversions(A__	,							A__ )

 __lowercase				    =					inversion_p + inversions_q + cross_inversions
 return c, num_inversions


def 						_A	(       A__	,							A__ ):






 """simple docstring"""



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

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

 return r, num_inversion


def 						_A	(       ):






 """simple docstring"""



 __lowercase				    =					[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)

 __lowercase				    =					count_inversions_bf(A__ )
 __lowercase    ,      __lowercase				    =					count_inversions_recursive(A__ )

 assert num_inversions_bf == num_inversions_recursive == 8

 print('''number of inversions = '''	,							A__ )

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

 arr_a.sort()
 __lowercase				    =					count_inversions_bf(A__ )
 __lowercase    ,      __lowercase				    =					count_inversions_recursive(A__ )

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

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

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


if __name__ == "__main__":
 main()








'''simple docstring'''

from PIL import Image

def     __magic_name__							(				__UpperCAmelCase				,						__UpperCAmelCase   )    ->       Image:

   '''simple docstring'''







   __SCREAMING_SNAKE_CASE   				=							(259 * (level + 255)) / (255 * (259 - level))

   def contrast(__UpperCAmelCase   ) -> int:
      return int(128 + factor * (c - 128)   )

   return img.point(__UpperCAmelCase   )


if __name__ == "__main__":
    # Load image
    with Image.open("image_data/lena.jpg") as img:
        # Change contrast to 170
        a   	=    change_contrast(img, 170)
        cont_img.save("image_data/lena_high_contrast.png", format="png")





