




"""simple docstring"""
def 						UpperCAmelCase				(			A__:    list[list]     )  ->     list[list]:
			__lowerCamelCase					:	List[Any]	       =				current_set.copy()
			for row_index, row in enumerate(A__     ):
						__lowerCamelCase					:	Dict	       =				row[0]
						for column_index, column in enumerate(A__     ):
									if magnitude == 0:
												__lowerCamelCase					:	Optional[int]	       =				column
												continue
									__lowerCamelCase					:	int	       =				column / magnitude
    # Subtract to cancel term
			__lowerCamelCase					:	str	       =				current_set[0]
			__lowerCamelCase					:	List[Any]	       =				[first_row]
			__lowerCamelCase					:	int	       =				current_set[1::]
			for row in current_set:
						__lowerCamelCase					:	Dict	       =				[]
						# If first term is 0, it is already in form we want, so we preserve it
						if row[0] == 0:
									final_set.append(A__     )
									continue
						for column_index in range(len(A__     )     ):
									temp_row.append(first_row[column_index] - row[column_index]     )
						final_set.append(A__     )
			# Create next recursion iteration set
			if len(final_set[0]     ) != 3:
						__lowerCamelCase					:	str	       =				final_set[0]
						__lowerCamelCase					:	Union[str, Any]	       =				[]
						__lowerCamelCase					:	int	       =				[]
						for row in final_set[1::]:
									current_first_column.append(row[0]     )
									next_iteration.append(row[1::]     )
						__lowerCamelCase					:	List[str]	       =				simplify(A__     )
						for i in range(len(A__     )     ):
									resultant[i].insert(0							,				current_first_column[i]     )
						resultant.insert(0							,				A__     )
						__lowerCamelCase					:	str	       =				resultant
			return final_set





def 						UpperCAmelCase				(			A__:    list[list]     )  ->     list:
			if len(A__     ) == 0:
						raise IndexError('solve_simultaneous() requires n lists of length n+1'     )
			__lowerCamelCase					:	int	       =				len(A__     ) + 1
			if any(len(A__     ) != _length for item in equations     ):
						raise IndexError('solve_simultaneous() requires n lists of length n+1'     )
			for row in equations:
						if any(not isinstance(A__							,				(int, float)     ) for column in row     ):
									raise ValueError('solve_simultaneous() requires lists of integers'     )
			if len(A__     ) == 1:
						return [equations[0][-1] / equations[0][0]]
			__lowerCamelCase					:	Union[str, Any]	       =				equations.copy()
			if any(0 in row for row in data_set     ):
						__lowerCamelCase					:	Any	       =				data_set.copy()
						__lowerCamelCase					:	str	       =				[]
						for row_index, row in enumerate(A__     ):
									if 0 not in row:
												__lowerCamelCase					:	Optional[Any]	       =				data_set.pop(A__     )
												break
						if not full_row:
									raise ValueError('solve_simultaneous() requires at least 1 full equation'     )
						data_set.insert(0							,				A__     )
			__lowerCamelCase					:	List[Any]	       =				data_set.copy()
			__lowerCamelCase					:	Dict	       =				simplify(A__     )
			__lowerCamelCase					:	Any	       =				simplified[::-1]
			__lowerCamelCase					:	list	       =				[]
			for row in simplified:
						__lowerCamelCase					:	List[Any]	       =				row[-1]
						if not solutions:
									if row[-2] == 0:
												solutions.append(0     )
												continue
									solutions.append(current_solution / row[-2]     )
									continue
						__lowerCamelCase					:	str	       =				row.copy()[: len(A__     ) - 1 :]
						while temp_row[0] == 0:
									temp_row.pop(0     )
						if len(A__     ) == 0:
									solutions.append(0     )
									continue
						__lowerCamelCase					:	int	       =				temp_row[1::]
						__lowerCamelCase					:	int	       =				temp_row[::-1]
						for column_index, column in enumerate(A__     ):
									current_solution -= column * solutions[column_index]
						solutions.append(A__     )
			__lowerCamelCase					:	List[Any]	       =				[]
			for item in solutions:
						final.append(float(round(A__							,				5     )     )     )
			return final[::-1]


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					a_				:    int										=     [
					    [2, 1, 1, 1, 1, 4],
					    [1, 2, 1, 1, 1, 5],
					    [1, 1, 2, 1, 1, 6],
					    [1, 1, 1, 2, 1, 7],
					    [1, 1, 1, 1, 2, 8],
					]
					print(solve_simultaneous(eq))
					print(solve_simultaneous([[4, 2]]))









"""simple docstring"""
def 						UpperCAmelCase				(			A__:    Dict     )  ->     Optional[int]:
			stooge(A__							,				0							,				len(A__     ) - 1     )
			return arr





def 						UpperCAmelCase				(			A__:    Dict							,				A__:    List[str]							,				A__:    Optional[int]     )  ->     Any:
			if i >= h:
						return

			# If first element is smaller than the last then swap them
			if arr[i] > arr[h]:
						__lowerCamelCase       ,      __lowerCamelCase					:	Dict	       =				arr[h], arr[i]

			# If there are more than 2 elements in the array
			if h - i + 1 > 2:
						__lowerCamelCase					:	str	       =				(int)((h - i + 1) / 3     )

						# Recursively sort first 2/3 elements
						stooge(A__							,				A__							,				(h - t)     )

						# Recursively sort last 2/3 elements
						stooge(A__							,				i + t							,				(A__)     )

						# Recursively sort first 2/3 elements
						stooge(A__							,				A__							,				(h - t)     )


if __name__ == "__main__":
					a_				:    Tuple										=     input('''Enter numbers separated by a comma:\n''').strip()
					a_				:    Optional[Any]										=     [int(item) for item in user_input.split(''',''')]
					print(stooge_sort(unsorted))



