

def        __lowerCAmelCase    (       _UpperCamelCase		:  str		,							_UpperCamelCase		:  List[str]	)		->							Tuple:
 '''simple docstring'''


 SCREAMING_SNAKE_CASE								=			0
 SCREAMING_SNAKE_CASE								=			len(_UpperCamelCase	) - 1

 while left <= right:
  # avoid divided by 0 during interpolation
  if sorted_collection[left] == sorted_collection[right]:
   if sorted_collection[left] == item:
    return left
   else:
    return None

  SCREAMING_SNAKE_CASE								=			left + ((item - sorted_collection[left]) * (right - left)) // (
      sorted_collection[right] - sorted_collection[left]
  )

  # out of range check
  if point < 0 or point >= len(_UpperCamelCase	):
   return None

  SCREAMING_SNAKE_CASE								=			sorted_collection[point]
  if current_item == item:
   return point
  else:
   if point < left:
    SCREAMING_SNAKE_CASE								=			left
    SCREAMING_SNAKE_CASE								=			point
   elif point > right:
    SCREAMING_SNAKE_CASE								=			right
    SCREAMING_SNAKE_CASE								=			point
   else:
    if item < current_item:
     SCREAMING_SNAKE_CASE								=			point - 1
    else:
     SCREAMING_SNAKE_CASE								=			point + 1
 return None


def        __lowerCAmelCase    (       _UpperCamelCase		:  Any		,							_UpperCamelCase		:  Optional[int]		,							_UpperCamelCase		:  List[str]		,							_UpperCamelCase		:  Any	)		->							Dict:
 '''simple docstring'''


 if sorted_collection[left] == sorted_collection[right]:
  if sorted_collection[left] == item:
   return left
  else:
   return None

 SCREAMING_SNAKE_CASE								=			left + ((item - sorted_collection[left]) * (right - left)) // (
     sorted_collection[right] - sorted_collection[left]
 )

 # out of range check
 if point < 0 or point >= len(_UpperCamelCase	):
  return None

 if sorted_collection[point] == item:
  return point
 elif point < left:
  return interpolation_search_by_recursion(_UpperCamelCase		,							_UpperCamelCase		,							_UpperCamelCase		,							_UpperCamelCase	)
 elif point > right:
  return interpolation_search_by_recursion(_UpperCamelCase		,							_UpperCamelCase		,							_UpperCamelCase		,							_UpperCamelCase	)
 else:
  if sorted_collection[point] > item:
   return interpolation_search_by_recursion(
       _UpperCamelCase		,							_UpperCamelCase		,							_UpperCamelCase		,							point - 1	)
  else:
   return interpolation_search_by_recursion(
       _UpperCamelCase		,							_UpperCamelCase		,							point + 1		,							_UpperCamelCase	)


def        __lowerCAmelCase    (       _UpperCamelCase		:  Dict	)		->							int:
 '''simple docstring'''


 if collection != sorted(_UpperCamelCase	):
  raise ValueError('Collection must be ascending sorted'	)
 return True


if __name__ == "__main__":
      import sys
      a_    :						Optional[Any]    		=      0
      if debug == 1:
            a_    :						Dict    		=      [10, 30, 40, 45, 50, 66, 77, 93]
            try:
                  __assert_sorted(collection)
            except ValueError:
                  sys.exit("Sequence must be ascending sorted to apply interpolation search")
            a_    :						Optional[Any]    		=      67

      a_    :						Dict    		=      interpolation_search(collection, target)
      if result is not None:
            print(F"""{target} found at positions: {result}""")
      else:
            print("Not found")




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


try:
      if not (is_transformers_available() and is_torch_available()):
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      from ...utils.dummy_torch_and_transformers_objects import (
          ImageTextPipelineOutput,
          UniDiffuserPipeline,
      )
else:
      from .modeling_text_decoder import UniDiffuserTextDecoder
      from .modeling_uvit import UniDiffuserModel, UTransformeraDModel
      from .pipeline_unidiffuser import ImageTextPipelineOutput, UniDiffuserPipeline

