# Just Move Them

Logic Level 3

There are 3 boxes $A$, $B$, and $C$. Initially, box $A$ has 8 balls but $B$ and $C$ are empty. Chris wants box $C$ to have as many balls as possible. He can do so by moving some balls from a box to another with the constraint that he can only move exactly $i$ balls on the $i^{\text{th}}$ step.

What is the maximum possible number of balls box $C$ can have?

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