




def 				__SCREAMING_SNAKE_CASE    (     snake_case_      ,       snake_case_      ,       snake_case_      ,       snake_case_		):

						'''simple docstring'''


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

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


def 				__SCREAMING_SNAKE_CASE    (     snake_case_		):

						'''simple docstring'''


						_UpperCAmelCase						=	len(snake_case_		)

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

						return lst


def 				__SCREAMING_SNAKE_CASE    (     snake_case_      ,       snake_case_		):

						'''simple docstring'''


						if not left:
												return right

						if not right:
												return left

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

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


def 				__SCREAMING_SNAKE_CASE    (     snake_case_		):

						'''simple docstring'''


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

						for run in runs:
												sorted_runs.append(insertion_sort(snake_case_		)		)
						for run in sorted_runs:
												_UpperCAmelCase						=	merge(snake_case_      ,       snake_case_		)

						return sorted_array


def 				__SCREAMING_SNAKE_CASE    (     ):

						'''simple docstring'''


						_UpperCAmelCase						=	[5, 9, 10, 3, -4, 5, 178, 92, 46, -18, 0, 7]
						_UpperCAmelCase						=	tim_sort(snake_case_		)
						print(snake_case_		)


if __name__ == "__main__":
				main()







'''simple docstring'''


from __future__ import annotations







def     SCREAMING_SNAKE_CASE(	UpperCamelCase ,UpperCamelCase ,UpperCamelCase ,UpperCamelCase	)     ->     int:

	# Base Case
	if counter == 0 or capacity == 0:
		return 0

	# If weight of the nth item is more than Knapsack of capacity,
	#   then this item cannot be included in the optimal solution,
	# else return the maximum of two cases:
	#   (1) nth item included
	#   (2) not included
	if weights[counter - 1] > capacity:
		return knapsack(UpperCamelCase ,UpperCamelCase ,UpperCamelCase ,counter - 1	)
	else:
		UpperCAmelCase_		:   int													=       capacity - weights[counter - 1]
		UpperCAmelCase_		:   Optional[int]													=       values[counter - 1] + knapsack(
		    UpperCamelCase ,UpperCamelCase ,UpperCamelCase ,counter - 1	)
		UpperCAmelCase_		:   Any													=       knapsack(UpperCamelCase ,UpperCamelCase ,UpperCamelCase ,counter - 1	)
		return max(UpperCamelCase ,UpperCamelCase	)


if __name__ == "__main__":
						import doctest

						doctest.testmod()






