# A problem by Josh Rowley

Level pending

$$\sum_{i=1}^{2014} a_{i} = 100$$, where $$a_{k} \in \mathbb{R} , a_{k}$$ > $${0}$$ $$\forall k$$. What is the minimum value of $$\lfloor 10000 \sum_{i=1}^{2014} \dfrac{a_{i}^2}{i} \rfloor$$?

×