



def A    (							__UpperCamelCase       )    ->   list[list[float]]:
			A__	  =     []
			for data in source_data:
						for i, el in enumerate(__UpperCamelCase       ):
									if len(__UpperCamelCase       ) < i + 1:
												data_lists.append([]       )
									data_lists[i].append(float(__UpperCamelCase       )       )
			return data_lists


def A    (							__UpperCamelCase			,						__UpperCamelCase       )    ->   list[list[float]]:
			A__	  =     []
			for dlist, weight in zip(__UpperCamelCase			,						__UpperCamelCase       ):
						A__	  =     min(__UpperCamelCase       )
						A__	  =     max(__UpperCamelCase       )

						A__	  =     []
						# for weight 0 score is 1 - actual score
						if weight == 0:
									for item in dlist:
												try:
															score.append(1 - ((item - mind) / (maxd - mind))       )
												except ZeroDivisionError:
															score.append(1       )

						elif weight == 1:
									for item in dlist:
												try:
															score.append((item - mind) / (maxd - mind)       )
												except ZeroDivisionError:
															score.append(0       )

        # weight not 0 or 1
						else:
									A__	  =     f'''Invalid weight of {weight:f} provided'''
									raise ValueError(__UpperCamelCase       )

						score_lists.append(__UpperCamelCase       )

			return score_lists


def A    (							__UpperCamelCase       )    ->   list[float]:
			A__	  =     [0 for i in range(len(score_lists[0]       )       )]

			for slist in score_lists:
						for j, ele in enumerate(__UpperCamelCase       ):
									A__	  =     final_scores[j] + ele

			return final_scores






def A    (							__UpperCamelCase			,						__UpperCamelCase       )    ->   list[list[float]]:
			A__	  =     get_data(__UpperCamelCase       )
			A__	  =     calculate_each_score(__UpperCamelCase			,						__UpperCamelCase       )
			A__	  =     generate_final_scores(__UpperCamelCase       )

			# append scores to source data
			for i, ele in enumerate(__UpperCamelCase       ):
						source_data[i].append(__UpperCamelCase       )

			return source_data









def A    (							__UpperCamelCase			,						__UpperCamelCase       )    ->   Optional[int]:
			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 A    (							__UpperCamelCase			,						__UpperCamelCase			,						__UpperCamelCase			,						__UpperCamelCase       )    ->   int:

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


if __name__ == "__main__":
							import sys
							SCREAMING_SNAKE_CASE__   			=   0
							if debug == 1:
														SCREAMING_SNAKE_CASE__   			=   [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''')
														SCREAMING_SNAKE_CASE__   			=   6_7

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




