



'''simple docstring'''





import math




def        lowerCamelCase  (				_snake_case  :						int       ):





    '''simple docstring'''


    if 1 < number < 4:
        # 2 and 3 are primes
        return True
    elif number < 2 or number % 2 == 0 or number % 3 == 0:
        # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
        return False

    # All primes number are in format of 6k +/- 1
    for i in range(5     ,int(math.sqrt(_snake_case       ) + 1       )     ,6       ):
        if number % i == 0 or number % (i + 2) == 0:
            return False
    return True




def        lowerCamelCase  (				_snake_case  :						float = 0.1       ):





    '''simple docstring'''


    lowercase__		       =						3
    lowercase__		       =						3

    while primes / (2 * j - 1) >= ratio:
        for i in range(j * j + j + 1     ,(j + 2) * (j + 2)     ,j + 1       ):
            primes += is_prime(_snake_case       )
        j += 2
    return j


if __name__ == "__main__":
 import doctest

 doctest.testmod()









'''simple docstring'''





def        lowerCamelCase  (				_snake_case  :						list[int]     ,_snake_case  :						list[int]       ):





    '''simple docstring'''


    lowercase__		       =						len(_snake_case       )
    print("The following activities are selected:"       )

    # The first activity is always selected
    lowercase__		       =						0
    print(_snake_case     ,end=","       )

    # Consider rest of the activities
    for j in range(_snake_case       ):
        # If this activity has start time greater than
        # or equal to the finish time of previously
        # selected activity, then select it
        if start[j] >= finish[i]:
            print(_snake_case     ,end=","       )
            lowercase__		       =						j


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 SCREAMING_SNAKE_CASE__      					=     [1, 3, 0, 5, 8, 5]
 SCREAMING_SNAKE_CASE__      					=     [2, 4, 6, 7, 9, 9]
 print_max_activities(start, finish)




