





'''simple docstring'''




def 	UpperCAmelCase_							(					__lowercase							:      int			,     __lowercase							:      Optional[int]       )		->       str:


     '''simple docstring'''



     _UpperCAmelCase     							=   0
     _UpperCAmelCase     							=   len(__lowercase       ) - 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

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

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

          _UpperCAmelCase     							=   sorted_collection[point]
          if current_item == item:
               return point
          else:
               if point < left:
                    _UpperCAmelCase     							=   left
                    _UpperCAmelCase     							=   point
               elif point > right:
                    _UpperCAmelCase     							=   right
                    _UpperCAmelCase     							=   point
               else:
                    if item < current_item:
                         _UpperCAmelCase     							=   point - 1
                    else:
                         _UpperCAmelCase     							=   point + 1
     return None
def 	UpperCAmelCase_							(					__lowercase							:      Any			,     __lowercase							:      List[Any]			,     __lowercase							:      Dict			,     __lowercase							:      List[str]       )		->       Union[str, Any]:


     '''simple docstring'''



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

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

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

     if sorted_collection[point] == item:
          return point
     elif point < left:
          return interpolation_search_by_recursion(__lowercase			,     __lowercase			,     __lowercase			,     __lowercase       )
     elif point > right:
          return interpolation_search_by_recursion(__lowercase			,     __lowercase			,     __lowercase			,     __lowercase       )
     else:
          if sorted_collection[point] > item:
               return interpolation_search_by_recursion(
                   __lowercase			,     __lowercase			,     __lowercase			,     point - 1       )
          else:
               return interpolation_search_by_recursion(
                   __lowercase			,     __lowercase			,     point + 1			,     __lowercase       )
def 	UpperCAmelCase_							(					__lowercase							:      int       )		->       Tuple:


     '''simple docstring'''



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


if __name__ == "__main__":
  import sys
  __SCREAMING_SNAKE_CASE     :Optional[int]       =				0
  if debug == 1:
    __SCREAMING_SNAKE_CASE     :Union[str, Any]       =				[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''')
    __SCREAMING_SNAKE_CASE     :int       =				67

  __SCREAMING_SNAKE_CASE     :Union[str, Any]       =				interpolation_search(collection, target)
  if result is not None:
    print(F"{target} found at positions: {result}")
  else:
    print('''Not found''')






'''simple docstring'''







from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


lowercase    :							List[str]      =					{
    "configuration_pix2struct": [
        "PIX2STRUCT_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "Pix2StructConfig",
        "Pix2StructTextConfig",
        "Pix2StructVisionConfig",
    ],
    "processing_pix2struct": ["Pix2StructProcessor"],
}

try:
					if not is_vision_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					lowercase    :							Optional[int]      =					["Pix2StructImageProcessor"]


try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					lowercase    :							Tuple      =					[
					    "PIX2STRUCT_PRETRAINED_MODEL_ARCHIVE_LIST",
					    "Pix2StructPreTrainedModel",
					    "Pix2StructForConditionalGeneration",
					    "Pix2StructVisionModel",
					    "Pix2StructTextModel",
					]

if TYPE_CHECKING:
					from .configuration_pixastruct import (
					    PIX2STRUCT_PRETRAINED_CONFIG_ARCHIVE_MAP,
					    PixaStructConfig,
					    PixaStructTextConfig,
					    PixaStructVisionConfig,
					)
					from .processing_pixastruct import PixaStructProcessor

					try:
										if not is_vision_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .image_processing_pixastruct import PixaStructImageProcessor

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_pixastruct import (
										    PIX2STRUCT_PRETRAINED_MODEL_ARCHIVE_LIST,
										    PixaStructForConditionalGeneration,
										    PixaStructPreTrainedModel,
										    PixaStructTextModel,
										    PixaStructVisionModel,
										)

else:
					import sys

					lowercase    :							List[str]      =					_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)

