ILL 1988 Problem 5

Let $k$ be a positive integer and $M_k$ the set of all the integers that are between $2 \cdot k^2 + k$ and $2 \cdot k^2 + 3 \cdot k,$ both included. Is it possible to partition $M_k$ into 2 subsets $A$ and $B$ such that

$$\sum_{x \in A} x^2 = \sum_{x \in B} x^2.$$