Problem C

Jellybean Surprise

Ru has \(100\) jellybeans that she is placing in small boxes for a party game. She has decided that each box must contain at least one jellybean and no two boxes can contain the same number of jellybeans. As well, no box can go inside any other box.

Determine the maximum number of boxes Ru can use for her jellybeans.

**Theme:** Algebra, Number Sense