


"""simple docstring"""




def        lowercase							(		lowerCAmelCase__ :     Any    ,					lowerCAmelCase__ :     Union[str, Any]			) ->      List[str]:
		__a           =			0
		__a           =			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

				__a           =			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

				__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        lowercase							(		lowerCAmelCase__ :     Any    ,					lowerCAmelCase__ :     Optional[Any]    ,					lowerCAmelCase__ :     Optional[Any]    ,					lowerCAmelCase__ :     Union[str, Any]			) ->      List[str]:

		# 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(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        lowercase							(		lowerCAmelCase__ :     int			) ->      List[str]:
		if collection != sorted(lowerCAmelCase__			):
				raise ValueError('''Collection must be ascending sorted'''			)
		return True


if __name__ == "__main__":
				import sys
				lowercase_			     =  0
				if debug == 1:
								lowercase_			     =  [1_0, 3_0, 4_0, 4_5, 5_0, 6_6, 7_7, 9_3]
								try:
												__assert_sorted(collection)
								except ValueError:
												sys.exit("Sequence must be ascending sorted to apply interpolation search")
								lowercase_			     =  6_7

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










"""simple docstring"""




from dataclasses import dataclass, field
from typing import TYPE_CHECKING, Any, ClassVar, Dict, List, Optional, Union

import pyarrow as pa


if TYPE_CHECKING:
				from .features import FeatureType
@dataclass
class 					__lowerCAmelCase					:


		'''simple docstring'''



		__UpperCAmelCase		:			List[str]
		__UpperCAmelCase		:			Optional[str]										=				None
		# Automatically constructed
		__UpperCAmelCase		:			ClassVar[str]										=				"dict"
		__UpperCAmelCase		:			ClassVar[Any]										=				None
		__UpperCAmelCase		:			str										=				field(default='Translation'     ,			init=__SCREAMING_SNAKE_CASE     ,			repr=__SCREAMING_SNAKE_CASE       )

		def __call__(  self      ):
				return pa.struct({lang: pa.string() for lang in sorted(self.languages      )}      )





		def 			__UpperCAmelCase       (  self      ):
				from .features import Value

				return {k: Value('''string'''      ) for k in sorted(self.languages      )}







@dataclass
class 					__lowerCAmelCase					:


		'''simple docstring'''



		__UpperCAmelCase		:			Optional[List]										=				None
		__UpperCAmelCase		:			Optional[int]										=				None
		__UpperCAmelCase		:			Optional[str]										=				None
		# Automatically constructed
		__UpperCAmelCase		:			ClassVar[str]										=				"dict"
		__UpperCAmelCase		:			ClassVar[Any]										=				None
		__UpperCAmelCase		:			str										=				field(default='TranslationVariableLanguages'     ,			init=__SCREAMING_SNAKE_CASE     ,			repr=__SCREAMING_SNAKE_CASE       )

		def 			__UpperCAmelCase       (  self      ):
				__a           =			sorted(set(self.languages      )      ) if self.languages else None
				__a           =			len(self.languages      ) if self.languages else None

		def __call__(  self      ):
				return pa.struct({'''language''': pa.list_(pa.string()      ), '''translation''': pa.list_(pa.string()      )}      )

		def 			__UpperCAmelCase       (  self							, _a      ):
				__a           =			set(self.languages      )
				if self.languages and set(_a      ) - lang_set:
						raise ValueError(
						    f'''Some languages in example ({', '.join(sorted(set(_a      ) - lang_set      )      )}) are not in valid set ({', '.join(_a      )}).'''      )

				# Convert dictionary into tuples, splitting out cases where there are
				# multiple translations for a single language.
				__a           =			[]
				for lang, text in translation_dict.items():
						if isinstance(_a							, _a      ):
								translation_tuples.append((lang, text)      )
						else:
								translation_tuples.extend([(lang, el) for el in text]      )

        # Ensure translations are in ascending order by language code.
				__a      ,     __a           =			zip(*sorted(_a      )      )

				return {"language": languages, "translation": translations}





		def 			__UpperCAmelCase       (  self      ):
				from .features import Sequence, Value

				return {
				    "language": Sequence(Value('''string'''      )      ),
				    "translation": Sequence(Value('''string'''      )      ),
				}






