





def     lowerCamelCase__			(__lowerCamelCase,       __lowerCamelCase	):
     _SCREAMING_SNAKE_CASE       :	str						    =							0
     _SCREAMING_SNAKE_CASE       :	Optional[int]						    =							len(__lowerCamelCase	) - 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       :	List[Any]						    =							left + ((item - sorted_collection[left]) * (right - left)) // (
              sorted_collection[right] - sorted_collection[left]
          )

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

          _SCREAMING_SNAKE_CASE       :	Dict						    =							sorted_collection[point]
          if current_item == item:
               return point
          else:
               if point < left:
                    _SCREAMING_SNAKE_CASE       :	List[Any]						    =							left
                    _SCREAMING_SNAKE_CASE       :	Optional[int]						    =							point
               elif point > right:
                    _SCREAMING_SNAKE_CASE       :	List[Any]						    =							right
                    _SCREAMING_SNAKE_CASE       :	Optional[Any]						    =							point
               else:
                    if item < current_item:
                         _SCREAMING_SNAKE_CASE       :	Any						    =							point - 1
                    else:
                         _SCREAMING_SNAKE_CASE       :	str						    =							point + 1
     return None






def     lowerCamelCase__			(__lowerCamelCase,       __lowerCamelCase,       __lowerCamelCase,       __lowerCamelCase	):

     # 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       :	Tuple						    =							left + ((item - sorted_collection[left]) * (right - left)) // (
         sorted_collection[right] - sorted_collection[left]
     )

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

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






def     lowerCamelCase__			(__lowerCamelCase	):
     if collection != sorted(__lowerCamelCase	):
          raise ValueError("Collection must be ascending sorted"	)
     return True


if __name__ == "__main__":
       import sys
       UpperCamelCase__      =0
       if debug == 1:
              UpperCamelCase__      =[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')
              UpperCamelCase__      =67

       UpperCamelCase__      =interpolation_search(collection, target)
       if result is not None:
              print(f"{target} found at positions: {result}")
       else:
              print('Not found')






from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


UpperCamelCase__      ={
    'configuration_lilt': ['LILT_PRETRAINED_CONFIG_ARCHIVE_MAP', 'LiltConfig'],
}

try:
       if not is_torch_available():
              raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
       pass
else:
       UpperCamelCase__      =[
           'LILT_PRETRAINED_MODEL_ARCHIVE_LIST',
           'LiltForQuestionAnswering',
           'LiltForSequenceClassification',
           'LiltForTokenClassification',
           'LiltModel',
           'LiltPreTrainedModel',
       ]

if TYPE_CHECKING:
       from .configuration_lilt import LILT_PRETRAINED_CONFIG_ARCHIVE_MAP, LiltConfig

       try:
              if not is_torch_available():
                     raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
              pass
       else:
              from .modeling_lilt import (
                  LILT_PRETRAINED_MODEL_ARCHIVE_LIST,
                  LiltForQuestionAnswering,
                  LiltForSequenceClassification,
                  LiltForTokenClassification,
                  LiltModel,
                  LiltPreTrainedModel,
              )

else:
       import sys

       UpperCamelCase__      =_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)