
"""simple docstring"""


def 						lowerCamelCase__      (				UpperCAmelCase_ = 1_00_00_00					)->				int:







       """simple docstring"""
       UpperCamelCase       			=		set(range(3		,   _UpperCamelCase		,   2					)					)
       primes.add(2					)
       for p in range(3		,   _UpperCamelCase		,   2					):
              if p not in primes:
                     continue
              primes.difference_update(set(range(p * p		,   _UpperCamelCase		,   _UpperCamelCase					)					)					)

       UpperCamelCase       			=		[float(_UpperCamelCase					) for n in range(limit + 1					)]

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

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


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








from graphs.minimum_spanning_tree_kruskal import kruskal


def 							__lowerCAmelCase     (							)		->				Optional[Any]:
 '''simple docstring'''


 SCREAMING_SNAKE_CASE		    =      9
 SCREAMING_SNAKE_CASE		    =      [
     [0, 1, 4],
     [0, 7, 8],
     [1, 2, 8],
     [7, 8, 7],
     [7, 6, 1],
     [2, 8, 2],
     [8, 6, 6],
     [2, 3, 7],
     [2, 5, 4],
     [6, 5, 2],
     [3, 5, 14],
     [3, 4, 9],
     [5, 4, 10],
     [1, 7, 11],
 ]

 SCREAMING_SNAKE_CASE		    =      kruskal(_UpperCamelCase		,				_UpperCamelCase						)

 SCREAMING_SNAKE_CASE		    =      [
     [7, 6, 1],
     [2, 8, 2],
     [6, 5, 2],
     [0, 1, 4],
     [2, 5, 4],
     [2, 3, 7],
     [0, 7, 8],
     [3, 4, 9],
 ]

 assert sorted(_UpperCamelCase						) == sorted(_UpperCamelCase						)

