

def        lowerCAmelCase(	SCREAMING_SNAKE_CASE_       )->		List[str]:



    """simple docstring"""






    UpperCamelCase_          =		[7_0_1, 3_0_1, 1_3_2, 5_7, 2_3, 1_0, 4, 1]
    for gap in gaps:
        for i in range(SCREAMING_SNAKE_CASE_       ,		len(SCREAMING_SNAKE_CASE_       )       ):
            UpperCamelCase_          =		collection[i]
            UpperCamelCase_          =		i
            while j >= gap and collection[j - gap] > insert_value:
                UpperCamelCase_          =		collection[j - gap]
                j -= gap
            if j != i:
                UpperCamelCase_          =		insert_value
    return collection


if __name__ == "__main__":
 from doctest import testmod

 testmod()
 SCREAMING_SNAKE_CASE						:str      =			input("""Enter numbers separated by a comma:\n""").strip()
 SCREAMING_SNAKE_CASE						:int      =			[int(item) for item in user_input.split(""",""")]
 print(shell_sort(unsorted))



def        lowerCAmelCase(	SCREAMING_SNAKE_CASE_       ,		SCREAMING_SNAKE_CASE_       )->		Tuple:



    """simple docstring"""






    if not root or root not in binary_tree_mirror_dictionary:
        return
    UpperCamelCase_   ,    UpperCamelCase_          =		binary_tree_mirror_dictionary[root][:2]
    UpperCamelCase_          =		[right_child, left_child]
    binary_tree_mirror_dict(SCREAMING_SNAKE_CASE_       ,		SCREAMING_SNAKE_CASE_       )
    binary_tree_mirror_dict(SCREAMING_SNAKE_CASE_       ,		SCREAMING_SNAKE_CASE_       )




def        lowerCAmelCase(	SCREAMING_SNAKE_CASE_       ,		SCREAMING_SNAKE_CASE_ = 1       )->		dict:



    """simple docstring"""






    if not binary_tree:
        raise ValueError("binary tree cannot be empty"       )
    if root not in binary_tree:
        UpperCamelCase_          =		f"root {root} is not present in the binary_tree"
        raise ValueError(SCREAMING_SNAKE_CASE_       )
    UpperCamelCase_          =		dict(SCREAMING_SNAKE_CASE_       )
    binary_tree_mirror_dict(SCREAMING_SNAKE_CASE_       ,		SCREAMING_SNAKE_CASE_       )
    return binary_tree_mirror_dictionary


if __name__ == "__main__":
 SCREAMING_SNAKE_CASE						:Dict      =			{1: [2, 3], 2: [4, 5], 3: [6, 7], 7: [8, 9]}
 print(F'''Binary tree: {binary_tree}''')
 SCREAMING_SNAKE_CASE						:str      =			binary_tree_mirror(binary_tree, 5)
 print(F'''Binary tree mirror: {binary_tree_mirror_dictionary}''')
