




def 				lowerCAmelCase_	(     snake_case_     ):

      if not isinstance(snake_case_,snake_case_     ):
            raise TypeError("""only integers accepted as input"""     )
      else:
            _A							:     int			=						str(abs(snake_case_     )     )
            _A							:     Dict			=						[list(snake_case_     ) for char in range(len(snake_case_     )     )]
            for index in range(len(snake_case_     )     ):
                  num_transpositions[index].pop(snake_case_     )
            return max(
                int("""""".join(list(snake_case_     )     )     ) for transposition in num_transpositions     )


if __name__ == "__main__":
  __import__("doctest").testmod()



def     _a					(						lowerCamelCase = 100_0000							):
 lowerCamelCase		:	Any							=      set(range(3,	lowerCamelCase,	2							)							)
 primes.add(2							)
 for p in range(3,	lowerCamelCase,	2							):
  if p not in primes:
   continue
  primes.difference_update(set(range(p * p,	lowerCamelCase,	lowerCamelCase							)							)							)

 lowerCamelCase		:	Any							=      [float(lowerCamelCase							) for n in range(limit + 1							)]

 for p in primes:
  for n in range(lowerCamelCase,	limit + 1,	lowerCamelCase							):
   phi[n] *= 1 - 1 / p

 return int(sum(phi[2:]							)							)


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




