
from __future__ import annotations

import bisect


def 				A	( lowercase   ,	lowercase   ,	lowercase = 0   ,	lowercase = -1			)       ->  int:
		'''simple docstring'''

		if hi < 0:
				UpperCamelCase          =					len(lowercase			)

		while lo < hi:
				UpperCamelCase          =					lo + (hi - lo) // 2
				if sorted_collection[mid] < item:
						UpperCamelCase          =					mid + 1
				else:
						UpperCamelCase          =					mid

		return lo


def 				A	( lowercase   ,	lowercase   ,	lowercase = 0   ,	lowercase = -1			)       ->  int:
		'''simple docstring'''

		if hi < 0:
				UpperCamelCase          =					len(lowercase			)

		while lo < hi:
				UpperCamelCase          =					lo + (hi - lo) // 2
				if sorted_collection[mid] <= item:
						UpperCamelCase          =					mid + 1
				else:
						UpperCamelCase          =					mid

		return lo


def 				A	( lowercase   ,	lowercase   ,	lowercase = 0   ,	lowercase = -1			)       ->  None:
		'''simple docstring'''

		sorted_collection.insert(bisect_left(lowercase   ,	lowercase   ,	lowercase   ,	lowercase			)   ,	lowercase			)


def 				A	( lowercase   ,	lowercase   ,	lowercase = 0   ,	lowercase = -1			)       ->  None:
		'''simple docstring'''

		sorted_collection.insert(bisect_right(lowercase   ,	lowercase   ,	lowercase   ,	lowercase			)   ,	lowercase			)


def 				A	( lowercase   ,	lowercase			)       ->  int | None:
		'''simple docstring'''

		UpperCamelCase          =					0
		UpperCamelCase          =					len(lowercase			) - 1

		while left <= right:
				UpperCamelCase          =					left + (right - left) // 2
				UpperCamelCase          =					sorted_collection[midpoint]
				if current_item == item:
						return midpoint
				elif item < current_item:
						UpperCamelCase          =					midpoint - 1
				else:
						UpperCamelCase          =					midpoint + 1
		return None


def 				A	( lowercase   ,	lowercase			)       ->  int | None:
		'''simple docstring'''

		UpperCamelCase          =					bisect.bisect_left(lowercase   ,	lowercase			)
		if index != len(lowercase			) and sorted_collection[index] == item:
				return index
		return None


def 				A	( lowercase   ,	lowercase   ,	lowercase   ,	lowercase			)       ->  int | None:
		'''simple docstring'''

		if right < left:
				return None

		UpperCamelCase          =					left + (right - left) // 2

		if sorted_collection[midpoint] == item:
				return midpoint
		elif sorted_collection[midpoint] > item:
				return binary_search_by_recursion(lowercase   ,	lowercase   ,	lowercase   ,	midpoint - 1			)
		else:
				return binary_search_by_recursion(lowercase   ,	lowercase   ,	midpoint + 1   ,	lowercase			)


if __name__ == "__main__":
					_UpperCAmelCase :			List[str]              =	input("Enter numbers separated by comma:\n").strip()
					_UpperCAmelCase :			Dict              =	sorted(int(item) for item in user_input.split(","))
					_UpperCAmelCase :			Optional[Any]              =	int(input("Enter a single number to be found in the list:\n"))
					_UpperCAmelCase :			Optional[int]              =	binary_search(collection, target)
					if result is None:
										print(F'''{target} was not found in {collection}.''')
					else:
										print(F'''{target} was found at position {result} in {collection}.''')


import logging
import os

from .state import PartialState


class     lowercase (		logging.LoggerAdapter       ):



		@staticmethod
		def __UpperCamelCase			(			A_	)  -> Optional[Any]:
				"""simple docstring"""
				UpperCamelCase          =					PartialState()
				return not main_process_only or (main_process_only and state.is_main_process)



		def __UpperCamelCase			(			self    ,				A_    ,				A_    ,				*A_    ,				**A_	)  -> Union[str, Any]:
				"""simple docstring"""
				if PartialState._shared_state == {}:
						raise RuntimeError(
						    'You must initialize the accelerate state by calling either `PartialState()` or `Accelerator()` before using the logging utility.'	)
				UpperCamelCase          =					kwargs.pop('main_process_only'    ,				A_	)
				UpperCamelCase          =					kwargs.pop('in_order'    ,				A_	)

				if self.isEnabledFor(A_	):
						if self._should_log(A_	):
								UpperCamelCase     ,  UpperCamelCase          =					self.process(A_    ,				A_	)
								self.logger.log(A_    ,				A_    ,				*A_    ,				**A_	)

						elif in_order:
								UpperCamelCase          =					PartialState()
								for i in range(state.num_processes	):
										if i == state.process_index:
												UpperCamelCase     ,  UpperCamelCase          =					self.process(A_    ,				A_	)
												self.logger.log(A_    ,				A_    ,				*A_    ,				**A_	)
										state.wait_for_everyone()






def 				A	( lowercase   ,	lowercase = None			)       ->  Dict:
		'''simple docstring'''

		if log_level is None:
				UpperCamelCase          =					os.environ.get('ACCELERATE_LOG_LEVEL'   ,	lowercase			)
		UpperCamelCase          =					logging.getLogger(lowercase			)
		if log_level is not None:
				logger.setLevel(log_level.upper()			)
				logger.root.setLevel(log_level.upper()			)
		return MultiProcessAdapter(lowercase   ,	{}			)
