






def 			_SCREAMING_SNAKE_CASE						( __lowercase   :			int = 1_0_0_0_0_0_0    )						->      int:





    """simple docstring"""

    __A         =	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    )    )    )

    __A         =	[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() = }""")












def 			_SCREAMING_SNAKE_CASE						( __lowercase   :			str = "The quick brown fox jumps over the lazy dog"			,				)						->      bool:





    """simple docstring"""

    __A         =	set()

    # Replace all the whitespace in our sentence
    __A         =	input_str.replace(""" """			,				""""""    )
    for alpha in input_str:
        if "a" <= alpha.lower() <= "z":
            frequency.add(alpha.lower()    )
    return len(__lowercase    ) == 2_6



def 			_SCREAMING_SNAKE_CASE						( __lowercase   :			str = "The quick brown fox jumps over the lazy dog"			,				)						->      bool:





    """simple docstring"""

    __A         =	[False] * 2_6
    for char in input_str:
        if char.islower():
            __A         =	True
        elif char.isupper():
            __A         =	True
    return all(__lowercase    )



def 			_SCREAMING_SNAKE_CASE						( __lowercase   :			str = "The quick brown fox jumps over the lazy dog"			,				)						->      bool:





    """simple docstring"""

    return len({char for char in input_str.lower() if char.isalpha()}    ) == 2_6



def 			_SCREAMING_SNAKE_CASE						( )						->      None:





    """simple docstring"""

    from timeit import timeit

    __A         =	"""from __main__ import is_pangram, is_pangram_faster, is_pangram_fastest"""
    print(timeit("""is_pangram()"""			,				setup=__lowercase    )    )
    print(timeit("""is_pangram_faster()"""			,				setup=__lowercase    )    )
    print(timeit("""is_pangram_fastest()"""			,				setup=__lowercase    )    )
    # 5.348480500048026, 2.6477354579837993, 1.8470395830227062
    # 5.036091582966037, 2.644472333951853,  1.8869528750656173


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  benchmark()




