Problem 42824. Number construction I

Given a positive integer, n, return a, b, c and d, such that

1. n = a*sqrt(b)+c*sqrt(d)

2. a, b, c and d are all positive integers greater than 1

If a solution does not exist, set all four output variables to zero.

Example 1:

n = 41

a = 5

b = 16

c = 7

d = 9

Example 2:

n = 6

a = 0

b = 0

c = 0

d = 0