






"""simple docstring"""





def   lowerCAmelCase_( SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE					)					->	float:
    """simple docstring"""

    _validate_point(SCREAMING_SNAKE_CASE_					)
    _validate_point(SCREAMING_SNAKE_CASE_					)
    if len(SCREAMING_SNAKE_CASE_					) != len(SCREAMING_SNAKE_CASE_					):
        raise ValueError('Both points must be in the same n-dimensional space'					)

    return float(sum(abs(a - b					) for a, b in zip(SCREAMING_SNAKE_CASE_ ,	SCREAMING_SNAKE_CASE_					)					)					)







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE					)					->	None:
    """simple docstring"""

    if point:
        if isinstance(SCREAMING_SNAKE_CASE_ ,	SCREAMING_SNAKE_CASE_					):
            for item in point:
                if not isinstance(SCREAMING_SNAKE_CASE_ ,	(int, float)					):
                    UpperCamelCase__         =    (
                        'Expected a list of numbers as input, found '
                        F'{type(SCREAMING_SNAKE_CASE_					).__name__}'
                    )
                    raise TypeError(SCREAMING_SNAKE_CASE_					)
        else:
            UpperCamelCase__         =    F'Expected a list of numbers as input, found {type(SCREAMING_SNAKE_CASE_					).__name__}'
            raise TypeError(SCREAMING_SNAKE_CASE_					)
    else:
        raise ValueError('Missing an input'					)







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE ,	SCREAMING_SNAKE_CASE					)					->	float:
    """simple docstring"""

    _validate_point(SCREAMING_SNAKE_CASE_					)
    _validate_point(SCREAMING_SNAKE_CASE_					)
    if len(SCREAMING_SNAKE_CASE_					) != len(SCREAMING_SNAKE_CASE_					):
        raise ValueError('Both points must be in the same n-dimensional space'					)

    return float(sum(abs(x - y					) for x, y in zip(SCREAMING_SNAKE_CASE_ ,	SCREAMING_SNAKE_CASE_					)					)					)


if __name__ == "__main__":
  import doctest

  doctest.testmod()












"""simple docstring"""





def   lowerCAmelCase_( SCREAMING_SNAKE_CASE = 50_00_00_00					)					->	int:
    """simple docstring"""

    UpperCamelCase__         =    set()
    UpperCamelCase__         =    int((limit - 24) ** (1 / 2)					)

    UpperCamelCase__         =    set(range(3 ,	prime_square_limit + 1 ,	2					)					)
    primes.add(2					)
    for p in range(3 ,	prime_square_limit + 1 ,	2					):
        if p not in primes:
            continue
        primes.difference_update(set(range(p * p ,	prime_square_limit + 1 ,	SCREAMING_SNAKE_CASE					)					)					)

    for primea in primes:
        UpperCamelCase__         =    primea * primea
        for primea in primes:
            UpperCamelCase__         =    primea * primea * primea
            if square + cube >= limit - 16:
                break
            for primea in primes:
                UpperCamelCase__         =    primea * primea * primea * primea
                UpperCamelCase__         =    square + cube + tetr
                if total >= limit:
                    break
                ret.add(SCREAMING_SNAKE_CASE					)

    return len(SCREAMING_SNAKE_CASE					)


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




