


from __future__ import annotations

snake_case_  :     Union[str, Any]							  =							'''Alexander Joslin'''







def   lowerCamelCase(				a__):

				if number <= 0:
								_SCREAMING_SNAKE_CASE     					=f"n must be greater than 0. Got n = {number}"
								raise ValueError(a__)

				_SCREAMING_SNAKE_CASE     					=[number + 1] * (number + 1)

				# starting position
				_SCREAMING_SNAKE_CASE     					=0
				for i in range(1		,a__):
								_SCREAMING_SNAKE_CASE     					=min(table[i + 1]		,table[i] + 1)
								# check if out of bounds
								if i * 2 <= number:
												_SCREAMING_SNAKE_CASE     					=min(table[i * 2]		,table[i] + 1)
								# check if out of bounds
								if i * 3 <= number:
												_SCREAMING_SNAKE_CASE     					=min(table[i * 3]		,table[i] + 1)
				return table[number]


if __name__ == "__main__":
							import doctest

							doctest.testmod()



import math







def   lowerCamelCase(				a__):
				_SCREAMING_SNAKE_CASE     					=math.log(2		,10) * number
				_SCREAMING_SNAKE_CASE     					=round((log_number - int(a__))		,15)

				return difference







def   lowerCamelCase(				a__ = 67_8910):
				_SCREAMING_SNAKE_CASE     					=90
				_SCREAMING_SNAKE_CASE     					=0

				_SCREAMING_SNAKE_CASE     					=math.log(1.23		,10)
				_SCREAMING_SNAKE_CASE     					=math.log(1.24		,10)
				_SCREAMING_SNAKE_CASE     					=0

				while position < number:
								_SCREAMING_SNAKE_CASE     					=log_difference(a__)

								if difference >= upper_limit:
												power_iterator += 93

								elif difference < lower_limit:
												power_iterator += 196

								else:
												_SCREAMING_SNAKE_CASE     					=power_iterator
												power_iterator += 196
												position += 1

				return previous_power


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							print(f"""{solution() = }""")