




def 		_A(       UpperCamelCase__							:			str				,       UpperCamelCase__							:			Optional[int]				)    -> str:
							'''simple docstring'''


							__lowercase      =    0
							__lowercase      =    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

														__lowercase      =    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

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







def 		_A(       UpperCamelCase__							:			Dict				,       UpperCamelCase__							:			Union[str, Any]				,       UpperCamelCase__							:			Optional[int]				,       UpperCamelCase__							:			Optional[Any]				)    -> Dict:
							'''simple docstring'''


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

							__lowercase      =    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 		_A(       UpperCamelCase__							:			Any				)    -> Optional[int]:
							'''simple docstring'''


							if collection != sorted(UpperCamelCase__				):
														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 .glue import glue_convert_examples_to_features, glue_output_modes, glue_processors, glue_tasks_num_labels
from .squad import SquadExample, SquadFeatures, SquadVaProcessor, SquadVaProcessor, squad_convert_examples_to_features
from .utils import DataProcessor, InputExample, InputFeatures, SingleSentenceClassificationProcessor
from .xnli import xnli_output_modes, xnli_processors, xnli_tasks_num_labels






