Kata

Given a certain number, how many multiples of three could you obtain with its digits?

Suposse that you have the number 362. The numbers that can be generated from it are:

362 ----> 3, 6, 2, 36, 63, 62, 26, 32, 23, 236, 263, 326, 362, 623, 632 

But only 3, 6, 36, 63 are multiple of three.

We need a function that can receive a number and may output in the following order:

• the amount of multiples

• the maximum multiple

Let's see a case the number has a the digit 0 and repeated digits:

6063 ----> 0, 3, 6, 30, 36, 60, 63, 66, 306, 360, 366, 603, 606, 630, 636, 660, 663, 3066, 3606, 3660, 6036, 6063, 6306, 6360, 6603, 6630

In this case the multiples of three will be all except 0

6063 ----> 3, 6, 30, 36, 60, 63, 66, 306, 360, 366, 603, 606, 630, 636, 660, 663, 3066, 3606, 3660, 6036, 6063, 6306, 6360, 6603, 6630

So the expected result given the above cases:

Given 362, should return [4, 63]
(amount of multiples = 4, maximum multiple = 63)

Given 6063, should return [25, 6630]
(amount of multiples = 25, maximum multiple = 6630)

The function will receive only positive integers (num > 0), and you don't have to worry for validating the entries.

Features of the random tests:

Number of test = 100
1000 ≤ num ≤ 100000000

Enjoy it!!