Keith has a new diabolical plan to take over the world! He'll get everyone drunk!
He needs to make large amounts of beer in order to do so. Luckily he has already captured large beer brewerys.
However, a problem arose. Due to his OCD, he can only make bottles of beer in numbers such that the numbers are both a perfect square and a summation (from 1 to n).
If he wants to make at least 358000000 bottles of beer PER PERSON (there are exactly 7 billion people), how many bottles should he make?
Ex: 1 is both a perfect square and a sum, so he could make a single bottle, but not 2 or 3.
