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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