





'''simple docstring'''

from __future__ import annotations

import math
from collections.abc import Callable







def    a__							(							lowercase   :	Callable[[int | float], int | float],   lowercase   :	int | float,   lowercase   :	int | float,   lowercase   :	int = 100,   )						->						float:





     """simple docstring"""

     _UpperCamelCase							       =			x_start
     _UpperCamelCase							       =			fnc(lowercase )
     _UpperCamelCase							       =			0.0

     for _ in range(lowercase ):
          # Approximates curve as a sequence of linear lines and sums their length
          _UpperCamelCase							       =			(x_end - x_start) / steps + xa
          _UpperCamelCase							       =			fnc(lowercase )
          length += math.hypot(xa - xa,   fxa - fxa )

          # Increment step
          _UpperCamelCase							       =			xa
          _UpperCamelCase							       =			fxa

     return length


if __name__ == "__main__":







   def    a__							(							lowercase   :	Union[str, Any] )						->						int:





        """simple docstring"""

        return math.sin(10 * x )

   print('f(x) = sin(10 * x)')
   print('The length of the curve from x = -10 to x = 10 is:')
   lowercase__		:     List[Any]			=							10
   while i <= 10_00_00:
      print(F"""With {i} steps: {line_length(f, -10, 10, i)}""")
      i *= 10










"""simple docstring"""




import math






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list       ,			_lowercase		:       int = 0       ,			_lowercase		:       int = 0   )					->list:






	'''simple docstring'''






	a :						Optional[Any]      =							end or len(_lowercase   )
	for i in range(_lowercase       ,			_lowercase   ):
		a :						List[str]      =							i
		a :						Any      =							array[i]
		while temp_index != start and temp_index_value < array[temp_index - 1]:
			a :						Optional[Any]      =							array[temp_index - 1]
			temp_index -= 1
		a :						Any      =							temp_index_value
	return array






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list       ,			_lowercase		:       int       ,			_lowercase		:       int   )					->None:  # Max Heap






	'''simple docstring'''






	a :						Tuple      =							index
	a :						List[Any]      =							2 * index + 1  # Left Node
	a :						Dict      =							2 * index + 2  # Right Node

	if left_index < heap_size and array[largest] < array[left_index]:
		a :						Dict      =							left_index

	if right_index < heap_size and array[largest] < array[right_index]:
		a :						int      =							right_index

	if largest != index:
		a,			a :						List[Any]      =							array[largest], array[index]
		heapify(_lowercase       ,			_lowercase       ,			_lowercase   )






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list   )					->list:






	'''simple docstring'''






	a :						int      =							len(_lowercase   )

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

	for i in range(n - 1       ,			0       ,			-1   ):
		a,			a :						str      =							array[0], array[i]
		heapify(_lowercase       ,			0       ,			_lowercase   )

	return array






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list       ,			_lowercase		:       int       ,			_lowercase		:       int       ,			_lowercase		:       int   )					->int:






	'''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  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list       ,			_lowercase		:       int       ,			_lowercase		:       int       ,			_lowercase		:       int   )					->int:






	'''simple docstring'''






	a :						List[Any]      =							low
	a :						int      =							high
	while True:
		while array[i] < pivot:
			i += 1
		j -= 1
		while pivot < array[j]:
			j -= 1
		if i >= j:
			return i
		a,			a :						Union[str, Any]      =							array[j], array[i]
		i += 1






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list   )					->list:






	'''simple docstring'''






	if len(_lowercase   ) == 0:
		return array
	a :						Tuple      =							2 * math.ceil(math.loga(len(_lowercase   )   )   )
	a :						List[str]      =							16
	return intro_sort(_lowercase       ,			0       ,			len(_lowercase   )       ,			_lowercase       ,			_lowercase   )






def  _SCREAMING_SNAKE_CASE						(      _lowercase		:       list       ,			_lowercase		:       int       ,			_lowercase		:       int       ,			_lowercase		:       int       ,			_lowercase		:       int   )					->list:






	'''simple docstring'''






	while end - start > size_threshold:
		if max_depth == 0:
			return heap_sort(_lowercase   )
		max_depth -= 1
		a :						List[str]      =							median_of_a(_lowercase       ,			_lowercase       ,			start + ((end - start) // 2) + 1       ,			end - 1   )
		a :						Tuple      =							partition(_lowercase       ,			_lowercase       ,			_lowercase       ,			_lowercase   )
		intro_sort(_lowercase       ,			_lowercase       ,			_lowercase       ,			_lowercase       ,			_lowercase   )
		a :						Union[str, Any]      =							p
	return insertion_sort(_lowercase       ,			_lowercase       ,			_lowercase   )


if __name__ == "__main__":
		import doctest

		doctest.testmod()

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


