



def 					__snake_case     (      _UpperCAmelCase       ,			_UpperCAmelCase    ):
    __a							=    0
    __a							=    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

        __a							=    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

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





def 					__snake_case     (      _UpperCAmelCase       ,			_UpperCAmelCase       ,			_UpperCAmelCase       ,			_UpperCAmelCase    ):

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

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


if __name__ == "__main__":
 import sys
 __snake_case						:Dict						=					0
 if debug == 1:
  __snake_case						: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''')
  __snake_case						:List[str]						=					67

 __snake_case						:Dict						=					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


__snake_case						:Tuple						=					{
    '''configuration_luke''': ['''LUKE_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''LukeConfig'''],
    '''tokenization_luke''': ['''LukeTokenizer'''],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 __snake_case						:Optional[int]						=					[
     '''LUKE_PRETRAINED_MODEL_ARCHIVE_LIST''',
     '''LukeForEntityClassification''',
     '''LukeForEntityPairClassification''',
     '''LukeForEntitySpanClassification''',
     '''LukeForMultipleChoice''',
     '''LukeForQuestionAnswering''',
     '''LukeForSequenceClassification''',
     '''LukeForTokenClassification''',
     '''LukeForMaskedLM''',
     '''LukeModel''',
     '''LukePreTrainedModel''',
 ]


if TYPE_CHECKING:
 from .configuration_luke import LUKE_PRETRAINED_CONFIG_ARCHIVE_MAP, LukeConfig
 from .tokenization_luke import LukeTokenizer

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_luke import (
      LUKE_PRETRAINED_MODEL_ARCHIVE_LIST,
      LukeForEntityClassification,
      LukeForEntityPairClassification,
      LukeForEntitySpanClassification,
      LukeForMaskedLM,
      LukeForMultipleChoice,
      LukeForQuestionAnswering,
      LukeForSequenceClassification,
      LukeForTokenClassification,
      LukeModel,
      LukePreTrainedModel,
  )

else:
 import sys

 __snake_case						:Dict						=					_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)





