FI-MO 2014 Problem 5

Determine the smallest number $n \in Z_+$ , which can be written as $n = \Sigma_{a\in A}a^2$ , where $A$ is a finite set of positive integers and $\Sigma_{a\in A}a= 2014$ . In other words: what is the smallest positive number which can be written as a sum of squares of different positive integers summing to $2014$ ?