


"""simple docstring"""






import math
from decimal import Decimal, getcontext



def 			A__		(					_UpperCAmelCase    :      int = 4_00_00_00	)							->	int:

	'''simple docstring'''


	try:
		snake_case__  :						Optional[Any]		=      int(_UpperCAmelCase	)
	except (TypeError, ValueError):
		raise TypeError("Parameter n must be int or castable to int."	)
	if n <= 0:
		raise ValueError("Parameter n must be greater than or equal to one."	)
	snake_case__  :						List[str]		=      1_00
	snake_case__  :						Tuple		=      (Decimal(5	) ** Decimal(0.5	) + 1) / Decimal(2	)

	snake_case__  :						str		=      (math.floor(math.log(n * (phi + 2)				,    _UpperCAmelCase	) - 1	) // 3) * 3 + 2
	snake_case__  :						List[str]		=      Decimal(round(phi ** Decimal(index + 1	)	)	) / (phi + 2)
	snake_case__  :						List[Any]		=      num // 2
	return int(_UpperCAmelCase	)


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









"""simple docstring"""






def 			A__		(					_UpperCAmelCase    :      str	)							->	list:

	'''simple docstring'''


	snake_case__  :						Any		=      []
	snake_case__  :						List[Any]		=      1

	for i in range(len(_UpperCAmelCase	)	):
		if i + 1 < len(_UpperCAmelCase	) and text[i] == text[i + 1]:
			count += 1
		else:
			encoded.append((text[i], count)	)
			snake_case__  :						Dict		=      1

	return encoded



def 			A__		(					_UpperCAmelCase    :      list	)							->	str:

	'''simple docstring'''


	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)





