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Exercise 18

The following function returns a list of the remainders of dividing the numbers in numbers by 3:

def remainders_3(numbers):
    return [number % 3 for number in numbers]

Use this function to determine which of the following lists contains at least one number that is not evenly divisible by 3 (that is, the remainder is not 0):

numbers_1 = [0, 1, 2, 3, 4, 5, 6]
numbers_2 = [1, 2, 4, 5]
numbers_3 = [0, 3, 6]
numbers_4 = []

Note: when working with integers, a value of 0 is "falsy"; all other integers are "truthy".

Solution

print(any(remainders_3(numbers_1)))     # True
print(any(remainders_3(numbers_2)))     # True
print(any(remainders_3(numbers_3)))     # False
print(any(remainders_3(numbers_4)))     # False

remainders_3 returns a list of integers between 0 and 2, inclusive. A value of 0 means the corresponding number is divisible by 3, while a value of 1 or 2 means the number is not divisible by 3. Since 0 is falsy and 1 and 2 are truthy, we can use any to determine whether any of the numbers are non-zero.

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