



"""simple docstring"""
from math import pow



def        lowerCAmelCase_						(							SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__, )			->      tuple[int, int]:
		if current_sum == needed_sum:
				# If the sum of the powers is equal to needed_sum, then we have a solution.
				solutions_count += 1
				return current_sum, solutions_count

		a_     :      str 						=     int(pow(SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)	)
		if current_sum + i_to_n <= needed_sum:
				# If the sum of the powers is less than needed_sum, then continue adding powers.
				current_sum += i_to_n
				a_						,				a_     :      List[Any] 						=     backtrack(
				    SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__, current_number + 1, SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)
				current_sum -= i_to_n
		if i_to_n < needed_sum:
				# If the power of i is less than needed_sum, then try with the next power.
				a_						,				a_     :      str 						=     backtrack(
				    SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__, current_number + 1, SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)
		return current_sum, solutions_count



def        lowerCAmelCase_						(							SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__	)			->      int:
		if not (1 <= needed_sum <= 1_000 and 2 <= power <= 10):
				raise ValueError(
				    "Invalid input\n"
				    "needed_sum must be between 1 and 1000, power between 2 and 10."	)

		return backtrack(SCREAMING_SNAKE_CASE__, SCREAMING_SNAKE_CASE__, 1, 0, 0	)[1]  # Return the solutions_count


if __name__ == "__main__":
					import doctest

					doctest.testmod()




"""simple docstring"""
SCREAMING_SNAKE_CASE_				= 0  # The first color of the flag.
SCREAMING_SNAKE_CASE_				= 1  # The second color of the flag.
SCREAMING_SNAKE_CASE_				= 2  # The third color of the flag.
SCREAMING_SNAKE_CASE_				= (red, white, blue)



def        lowerCAmelCase_						(							SCREAMING_SNAKE_CASE__	)			->      list:
		if not sequence:
				return []
		if len(SCREAMING_SNAKE_CASE__	) == 1:
				return list(SCREAMING_SNAKE_CASE__	)
		a_     :      Dict 						=     0
		a_     :      List[Any] 						=     len(SCREAMING_SNAKE_CASE__	) - 1
		a_     :      str 						=     0
		while mid <= high:
				if sequence[mid] == colors[0]:
						a_						,				a_     :      int 						=     sequence[mid], sequence[low]
						low += 1
						mid += 1
				elif sequence[mid] == colors[1]:
						mid += 1
				elif sequence[mid] == colors[2]:
						a_						,				a_     :      List[Any] 						=     sequence[high], sequence[mid]
						high -= 1
				else:
						a_     :      Dict 						=     F"""The elements inside the sequence must contains only {colors} values"""
						raise ValueError(SCREAMING_SNAKE_CASE__	)
		return sequence


if __name__ == "__main__":
					import doctest

					doctest.testmod()

					SCREAMING_SNAKE_CASE_				= input("""Enter numbers separated by commas:\n""").strip()
					SCREAMING_SNAKE_CASE_				= [int(item.strip()) for item in user_input.split(""",""")]
					print(F"""{dutch_national_flag_sort(unsorted)}""")