Kata

Problem

There are n apples that need to be divided into four piles. We need two mysterious number x and y. Let The number of first pile equals to x+y, the number of second pile equals to x-y, the number of third pile equals to x*y, the number of fourth pile equals to x/y. We need to calculate how many apples are there in each pile.

Of course, there won't be so many unknowns. We know the total number of apples(n) and the second mysterious number(y).

For example: there are 48 apples need to divided into four piles. y=3. that is, 1st pile should be x+3, 2nd pile should be x-3, 3rd pile should be x*3, 4th pile should be x/3. Do you know how much x is? x should be 9, because:

(9 + 3) + (9 - 3) + (9 * 3) + (9 / 3) = 12 + 6 + 27 + 3 = 48

So, 48 apples should be divided into 12, 6, 27, 3.

Task

Implement a function that accepts two argument, n and y, and returns the number of apples in each pile as described above. Each resulting number should be a positive integer. If there's no way to divide the apples, return an empty array/empty value (refer to the function declaration and test cases in your language of choice to see which option is relevant for you).

Examples

n = 48
y = 3
result = [12, 6, 27, 3]

n = 100
y = 4
result = [20, 12, 64, 4]

n = 24
y = 4
result = []  (no way to divide the apples)

n = 25
y = 4
result = []  ([8,0,16,1] is not a correct answer since you can't have empty piles)