Determine all possible triplet(s) (P, Q, N), where each of P and Q is a 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:
• N² contains each of the digits from 0 to 9 exactly twice. Neither N nor N² can contain any leading zero.