
import math



def  UpperCamelCase					(							lowerCAmelCase__				,    lowerCAmelCase__ = 0				,    lowerCAmelCase__ = 0	):
					'''simple docstring'''
					lowercase					=		end or len(lowerCAmelCase__	)
					for i in range(lowerCAmelCase__				,    lowerCAmelCase__	):
										lowercase					=		i
										lowercase					=		array[i]
										while temp_index != start and temp_index_value < array[temp_index - 1]:
															lowercase					=		array[temp_index - 1]
															temp_index -= 1
										lowercase					=		temp_index_value
					return array



def  UpperCamelCase					(							lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__	):  # Max Heap
					'''simple docstring'''
					lowercase					=		index
					lowercase					=		2 * index + 1  # Left Node
					lowercase					=		2 * index + 2  # Right Node

					if left_index < heap_size and array[largest] < array[left_index]:
										lowercase					=		left_index

					if right_index < heap_size and array[largest] < array[right_index]:
										lowercase					=		right_index

					if largest != index:
										lowercase			,		lowercase					=		array[largest], array[index]
										heapify(lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__	)



def  UpperCamelCase					(							lowerCAmelCase__	):
					'''simple docstring'''
					lowercase					=		len(lowerCAmelCase__	)

					for i in range(n // 2				,    -1				,    -1	):
										heapify(lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__	)

					for i in range(n - 1				,    0				,    -1	):
										lowercase			,		lowercase					=		array[0], array[i]
										heapify(lowerCAmelCase__				,    0				,    lowerCAmelCase__	)

					return array



def  UpperCamelCase					(							lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__	):
					'''simple docstring'''
					if (array[first_index] > array[middle_index]) != (
					    array[first_index] > array[last_index]
					):
										return array[first_index]
					elif (array[middle_index] > array[first_index]) != (
					    array[middle_index] > array[last_index]
					):
										return array[middle_index]
					else:
										return array[last_index]



def  UpperCamelCase					(							lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__	):
					'''simple docstring'''
					lowercase					=		low
					lowercase					=		high
					while True:
										while array[i] < pivot:
															i += 1
										j -= 1
										while pivot < array[j]:
															j -= 1
										if i >= j:
															return i
										lowercase			,		lowercase					=		array[j], array[i]
										i += 1



def  UpperCamelCase					(							lowerCAmelCase__	):
					'''simple docstring'''
					if len(lowerCAmelCase__	) == 0:
										return array
					lowercase					=		2 * math.ceil(math.loga(len(lowerCAmelCase__	)	)	)
					lowercase					=		16
					return intro_sort(lowerCAmelCase__				,    0				,    len(lowerCAmelCase__	)				,    lowerCAmelCase__				,    lowerCAmelCase__	)



def  UpperCamelCase					(							lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__	):
					'''simple docstring'''
					while end - start > size_threshold:
										if max_depth == 0:
															return heap_sort(lowerCAmelCase__	)
										max_depth -= 1
										lowercase					=		median_of_a(lowerCAmelCase__				,    lowerCAmelCase__				,    start + ((end - start) // 2) + 1				,    end - 1	)
										lowercase					=		partition(lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__	)
										intro_sort(lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__	)
										lowercase					=		p
					return insertion_sort(lowerCAmelCase__				,    lowerCAmelCase__				,    lowerCAmelCase__	)


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							lowercase__	:Optional[int]										=					input("Enter numbers separated by a comma : ").strip()
							lowercase__	:List[str]										=					[float(item) for item in user_input.split(",")]
							print(sort(unsorted))








def  UpperCamelCase					(							lowerCAmelCase__ = 1000	):
					'''simple docstring'''
					lowercase					=		-1
					lowercase					=		0
					for a in range(1				,    n // 3	):
										# Solving the two equations a**2+b**2=c**2 and a+b+c=N eliminating c
										lowercase					=		(n * n - 2 * a * n) // (2 * n - 2 * a)
										lowercase					=		n - a - b
										if c * c == (a * a + b * b):
															lowercase					=		a * b * c
															if candidate >= product:
																				lowercase					=		candidate
					return product


if __name__ == "__main__":
							print(F'{solution() = }')




