Just Move Them

Logic Level 3

There are 3 boxes AA, BB, and CC. Initially, box AA has 8 balls but BB and CC are empty. Chris wants box CC 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 ii balls on the ithi^{\text{th}} step.

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

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