题目描述

For any given positive integer $n$, two positive integers $A$ and $B$ are called Square Friends if by attaching $3$ digits to every one of the $n$ consecutive numbers starting from $A$, we can obtain the squares of the $n$ consecutive numbers starting from $B$.

For example, given $n = 3$, $A = 73$ and $B = 272$ are Square Friends since:

• $73984 = 272^2$
• $74529 = 273^2$