Problem of Buddies

Two sequences of integers of length $n$ are referred as buddies if they have at least one buddy common between them. The pair of positive integers $(a,b)$ are referred to be buddies if the sum of proper divisors of $a$ equals $b$ and vice-versa, that is the sum of proper divisors of $b$ also equals $a$. Given two sequences, find whether they are buddies are not. ###Input: - The first line of