





'''simple docstring'''






import math
def 							_lowerCamelCase(  UpperCamelCase__    : List[Any]    ,       UpperCamelCase__    : str = 0    ,       UpperCamelCase__    : Optional[Any] = 0		):
    A       :       Tuple							=						end or len(_lowerCamelCase		)
    for i in range(_lowerCamelCase    ,       _lowerCamelCase		):
        A       :       Optional[Any]							=						i
        A       :       List[Any]							=						array[i]
        while temp_index != start and temp_index_value < array[temp_index - 1]:
            A       :       List[Any]							=						array[temp_index - 1]
            temp_index -= 1
        A       :       Union[str, Any]							=						temp_index_value
    return array
def 							_lowerCamelCase(  UpperCamelCase__    : Optional[int]    ,       UpperCamelCase__    : int    ,       UpperCamelCase__    : Any		):  # Max Heap
    A       :       Optional[int]							=						index
    A       :       Optional[int]							=						2 * index + 1  # Left Node
    A       :       List[Any]							=						2 * index + 2  # Right Node

    if left_index < heap_size and array[largest] < array[left_index]:
        A       :       int							=						left_index

    if right_index < heap_size and array[largest] < array[right_index]:
        A       :       Tuple							=						right_index

    if largest != index:
        A       :       str							=						array[largest], array[index]
        heapify(_lowerCamelCase    ,       _lowerCamelCase    ,       _lowerCamelCase		)
def 							_lowerCamelCase(  UpperCamelCase__    : str		):
    A       :       int							=						len(_lowerCamelCase		)

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

    for i in range(n - 1    ,       0    ,       -1		):
        A       :       Optional[Any]							=						array[0], array[i]
        heapify(_lowerCamelCase    ,       0    ,       _lowerCamelCase		)

    return array
def 							_lowerCamelCase(  UpperCamelCase__    : List[str]    ,       UpperCamelCase__    : Any    ,       UpperCamelCase__    : int    ,       UpperCamelCase__    : Any		):
    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 							_lowerCamelCase(  UpperCamelCase__    : Union[str, Any]    ,       UpperCamelCase__    : List[Any]    ,       UpperCamelCase__    : Any    ,       UpperCamelCase__    : Dict		):
    A       :       Optional[int]							=						low
    A       :       Tuple							=						high
    while True:
        while array[i] < pivot:
            i += 1
        j -= 1
        while pivot < array[j]:
            j -= 1
        if i >= j:
            return i
        A       :       Any							=						array[j], array[i]
        i += 1
def 							_lowerCamelCase(  UpperCamelCase__    : Optional[Any]		):
    if len(_lowerCamelCase		) == 0:
        return array
    A       :       int							=						2 * math.ceil(math.loga(len(_lowerCamelCase		)		)		)
    A       :       Any							=						16
    return intro_sort(_lowerCamelCase    ,       0    ,       len(_lowerCamelCase		)    ,       _lowerCamelCase    ,       _lowerCamelCase		)
def 							_lowerCamelCase(  UpperCamelCase__    : int    ,       UpperCamelCase__    : Union[str, Any]    ,       UpperCamelCase__    : List[str]    ,       UpperCamelCase__    : int    ,       UpperCamelCase__    : Union[str, Any]		):
    while end - start > size_threshold:
        if max_depth == 0:
            return heap_sort(_lowerCamelCase		)
        max_depth -= 1
        A       :       List[str]							=						median_of_a(_lowerCamelCase    ,       _lowerCamelCase    ,       start + ((end - start) // 2) + 1    ,       end - 1		)
        A       :       Union[str, Any]							=						partition(_lowerCamelCase    ,       _lowerCamelCase    ,       _lowerCamelCase    ,       _lowerCamelCase		)
        intro_sort(_lowerCamelCase    ,       _lowerCamelCase    ,       _lowerCamelCase    ,       _lowerCamelCase    ,       _lowerCamelCase		)
        A       :       str							=						p
    return insertion_sort(_lowerCamelCase    ,       _lowerCamelCase    ,       _lowerCamelCase		)


if __name__ == "__main__":
     import doctest

     doctest.testmod()

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







'''simple docstring'''






from math import pi
def 							_lowerCamelCase(  UpperCamelCase__    : int    ,       UpperCamelCase__    : int		)		->  float:
    return 2 * pi * radius * (angle / 360)


if __name__ == "__main__":
     print(arc_length(90, 10))
