





'''simple docstring'''






def    UpperCamelCase__      (		lowerCAmelCase = 1_00_00_00  ):





      """simple docstring"""


      _lowerCAmelCase							     =							set(range(3							,	_lowercase							,	2  )  )
      primes.add(2  )
      for p in range(3							,	_lowercase							,	2  ):
            if p not in primes:
                  continue
            primes.difference_update(set(range(p * p							,	_lowercase							,	_lowercase  )  )  )

      _lowerCAmelCase							     =							[float(_lowercase  ) for n in range(limit + 1  )]

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

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


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













"""simple docstring"""




def       _SCREAMING_SNAKE_CASE		(	_lowercase						:    list					) ->int:






	'''simple docstring'''






	if not grid or not grid[0]:
		raise TypeError("The grid does not contain the appropriate information"					)

	for cell_n in range(1    ,       len(grid[0]					)					):
		grid[0][cell_n] += grid[0][cell_n - 1]
	a      :		Union[str, Any]	=				grid[0]

	for row_n in range(1    ,       len(_lowercase					)					):
		a      :		Optional[Any]	=				grid[row_n]
		a      :		Tuple	=				fill_row(_lowercase    ,       _lowercase					)
		a      :		List[Any]	=				grid[row_n]

	return grid[-1][-1]






def       _SCREAMING_SNAKE_CASE		(	_lowercase						:    list    ,       _lowercase						:    list					) ->list:






	'''simple docstring'''






	current_row[0] += row_above[0]
	for cell_n in range(1    ,       len(_lowercase					)					):
		current_row[cell_n] += min(current_row[cell_n - 1]    ,       row_above[cell_n]					)

	return current_row


if __name__ == "__main__":
		import doctest

		doctest.testmod()


