*five digit*positive base ten integer with P > Q and P*Q = N, such that:

- P and Q together contain each of the digits from 0 to 9
*exactly once*, and: - N contains each of the digits from 0 to 9
*exactly once*, and: - N
^{2}contains each of the digits from 0 to 9*exactly twice*. Neither N nor N^{2}can contain any leading zero.