Question 11
Let $a_1,a_2,\ldots,a_{2018}$ be increasing positive integers satisfying
$$a_1+a_2+\cdots+a_{2018}=2018^{2018}.$$
What is the remainder when $a_1^3+a_2^3+\cdots+a_{2018}^3$ is divided by $6$?
$$a_1+a_2+\cdots+a_{2018}=2018^{2018}.$$
What is the remainder when $a_1^3+a_2^3+\cdots+a_{2018}^3$ is divided by $6$?