






from __future__ import annotations

import bisect





def 		__UpperCAmelCase     (	a_				,	a_				,	a_ = 0				,	a_ = -1):
							if hi < 0:
														snake_case_           =				len(a_)

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

							return lo





def 		__UpperCAmelCase     (	a_				,	a_				,	a_ = 0				,	a_ = -1):
							if hi < 0:
														snake_case_           =				len(a_)

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

							return lo





def 		__UpperCAmelCase     (	a_				,	a_				,	a_ = 0				,	a_ = -1):
							sorted_collection.insert(bisect_left(a_				,	a_				,	a_				,	a_)				,	a_)





def 		__UpperCAmelCase     (	a_				,	a_				,	a_ = 0				,	a_ = -1):
							sorted_collection.insert(bisect_right(a_				,	a_				,	a_				,	a_)				,	a_)





def 		__UpperCAmelCase     (	a_				,	a_):
							snake_case_           =				0
							snake_case_           =				len(a_) - 1

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





def 		__UpperCAmelCase     (	a_				,	a_):
							snake_case_           =				bisect.bisect_left(a_				,	a_)
							if index != len(a_) and sorted_collection[index] == item:
														return index
							return None





def 		__UpperCAmelCase     (	a_				,	a_				,	a_				,	a_):
							if right < left:
														return None

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

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


if __name__ == "__main__":
	lowercase    				=   input("Enter numbers separated by comma:\n").strip()
	lowercase    				=   sorted(int(item) for item in user_input.split(","))
	lowercase    				=   int(input("Enter a single number to be found in the list:\n"))
	lowercase    				=   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 numpy as np





def 		__UpperCAmelCase     (	a_):
							return 1 / (1 + np.exp(-vector))


if __name__ == "__main__":
	import doctest

	doctest.testmod()





