
'''simple docstring'''

def   A     (      UpperCamelCase_					:     List[str]						,	UpperCamelCase_					:     List[str]						,	UpperCamelCase_					:     Dict						,	UpperCamelCase_					:     Union[str, Any]      )					->       int:







			'''simple docstring'''



			if start == end:
						return start if lst[start] > item else start + 1
			if start > end:
						return start

			lowerCAmelCase__								=							(start + end) // 2
			if lst[mid] < item:
						return binary_search(UpperCamelCase_						,	UpperCamelCase_						,	mid + 1						,	UpperCamelCase_      )
			elif lst[mid] > item:
						return binary_search(UpperCamelCase_						,	UpperCamelCase_						,	UpperCamelCase_						,	mid - 1      )
			else:
						return mid







def   A     (      UpperCamelCase_					:     Dict      )					->       Optional[Any]:







			'''simple docstring'''



			lowerCAmelCase__								=							len(UpperCamelCase_      )

			for index in range(1						,	UpperCamelCase_      ):
						lowerCAmelCase__								=							lst[index]
						lowerCAmelCase__								=							binary_search(UpperCamelCase_						,	UpperCamelCase_						,	0						,	index - 1      )
						lowerCAmelCase__								=							lst[:pos] + [value] + lst[pos:index] + lst[index + 1 :]

			return lst







def   A     (      UpperCamelCase_					:     Optional[Any]						,	UpperCamelCase_					:     str      )					->       Optional[int]:







			'''simple docstring'''



			if not left:
						return right

			if not right:
						return left

			if left[0] < right[0]:
						return [left[0], *merge(left[1:]						,	UpperCamelCase_      )]

			return [right[0], *merge(UpperCamelCase_						,	right[1:]      )]







def   A     (      UpperCamelCase_					:     Optional[int]      )					->       Optional[Any]:







			'''simple docstring'''



			lowerCAmelCase__								=							len(UpperCamelCase_      )
			lowerCAmelCase__	,lowerCAmelCase__								=							[], []
			lowerCAmelCase__								=							[lst[0]]
			lowerCAmelCase__								=							[]
			lowerCAmelCase__								=							1
			while i < length:
						if lst[i] < lst[i - 1]:
									runs.append(UpperCamelCase_      )
									lowerCAmelCase__								=							[lst[i]]
						else:
									new_run.append(lst[i]      )
						i += 1
			runs.append(UpperCamelCase_      )

			for run in runs:
						sorted_runs.append(insertion_sort(UpperCamelCase_      )      )
			for run in sorted_runs:
						lowerCAmelCase__								=							merge(UpperCamelCase_						,	UpperCamelCase_      )

			return sorted_array







def   A     (      )					->       Tuple:







			'''simple docstring'''



			lowerCAmelCase__								=							[5, 9, 10, 3, -4, 5, 1_78, 92, 46, -18, 0, 7]
			lowerCAmelCase__								=							tim_sort(UpperCamelCase_      )
			print(UpperCamelCase_      )


if __name__ == "__main__":
		main()







'''simple docstring'''

from ..utils import DummyObject, requires_backends






class    A     (	metaclass=SCREAMING_SNAKE_CASE__    ):
	snake_case__      :Optional[Any]        =     ['torch', 'transformers', 'k_diffusion']





	def __init__(					self			:       Optional[Any]      ,							*__magic_name__			:       Optional[int]      ,							**__magic_name__			:       str							):


				"""simple docstring"""

				requires_backends(self      ,							["torch", "transformers", "k_diffusion"]							)





	@classmethod
	def 							__SCREAMING_SNAKE_CASE  (					cls			:       str      ,							*__magic_name__			:       Union[str, Any]      ,							**__magic_name__			:       int							):


				"""simple docstring"""

				requires_backends(cls      ,							["torch", "transformers", "k_diffusion"]							)







	@classmethod
	def 							__SCREAMING_SNAKE_CASE  (					cls			:       int      ,							*__magic_name__			:       Dict      ,							**__magic_name__			:       str							):


				"""simple docstring"""

				requires_backends(cls      ,							["torch", "transformers", "k_diffusion"]							)





