



'''simple docstring'''


def 			UpperCAmelCase_							(		lowercase__							):


     '''simple docstring'''







     a_									=[]
     a_									=1

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

     return encoded






def 			UpperCAmelCase_							(		lowercase__							):


     '''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)




import math
from decimal import Decimal, getcontext
def 					lowerCAmelCase__     (    SCREAMING_SNAKE_CASE_ = 4_000_000	)							->						int:

			try:
						lowerCAmelCase__ : str   =						int(SCREAMING_SNAKE_CASE_	)
			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.'	)
			lowerCAmelCase__ : Union[str, Any]   =						100
			lowerCAmelCase__ : List[Any]   =						(Decimal(5	) ** Decimal(0.5	) + 1) / Decimal(2	)

			lowerCAmelCase__ : Tuple   =						(math.floor(math.log(n * (phi + 2)			,				SCREAMING_SNAKE_CASE_	) - 1	) // 3) * 3 + 2
			lowerCAmelCase__ : Optional[int]   =						Decimal(round(phi ** Decimal(index + 1	)	)	) / (phi + 2)
			lowerCAmelCase__ : Tuple   =						num // 2
			return int(SCREAMING_SNAKE_CASE_	)


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