Inspired by Romain Bouchard

Algebra Level 3

Let a1,a2,...,ana_1,a_2,...,a_n be distinct positive integers such that a1+a2++an=2018.a_1+a_2+\cdots+a_n=2018.

Find the maximum value of a1×a2××an.a_1\times a_2\times \cdots \times a_n.

If this is equal to a!b\frac{a!}{b}, where aa and bb are distinct positive integers and a+ba+b is minimized, write your answer as ab2.\frac{ab}{2}.

×

Problem Loading...

Note Loading...

Set Loading...