"""simple docstring"""







from __future__ import annotations


def   __lowerCAmelCase(		__UpperCAmelCase      ):






	"""simple docstring"""





	_lowercase			:     Optional[int]      					=				[0] * max_one

	for i in range(0  ,_lowercase      ):
		_lowercase			:     Optional[int]      					=				i

	for i in range(2  ,_lowercase      ):
		if totients[i] == i:
			for j in range(_lowercase  ,_lowercase  ,_lowercase      ):
				totients[j] -= totients[j] // i

	return totients


def   __lowerCAmelCase(		__UpperCAmelCase  ,__UpperCAmelCase      ):






	"""simple docstring"""





	return sorted(str(_lowercase      )      ) == sorted(str(_lowercase      )      )


def   __lowerCAmelCase(		__UpperCAmelCase = 10_000_000      ):






	"""simple docstring"""





	_lowercase			:     List[Any]      					=				1  # i
	_lowercase			:     Optional[int]      					=				0  # φ(i)
	_lowercase			:     Optional[Any]      					=				get_totients(max_n + 1      )

	for i in range(2  ,max_n + 1      ):
		_lowercase			:     Dict      					=				totients[i]

		if i * min_denominator < min_numerator * t and has_same_digits(_lowercase  ,_lowercase      ):
			_lowercase			:     Tuple      					=				i
			_lowercase			:     str      					=				t

	return min_numerator


if __name__ == "__main__":
						print(f"""{solution() = }""")










"""simple docstring"""




def 			a_							(				_lowercase  ):
						_UpperCamelCase     :   List[str]      =       []
						_UpperCamelCase     :   Union[str, Any]      =       1

						for i in range(len(_lowercase  )  ):
												if i + 1 < len(_lowercase  ) and text[i] == text[i + 1]:
																		count += 1
												else:
																		encoded.append((text[i], count)  )
																		_UpperCamelCase     :   int      =       1

						return encoded





def 			a_							(				_lowercase  ):
						return "".join(char * length for char, length in encoded  )


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

						testmod(name="""run_length_encode""", verbose=True)
						testmod(name="""run_length_decode""", verbose=True)



