The Chips are Down



There are three stacks of casino chips.  The first has 21 chips, the second 99, and the third has 45.

You can do two things with the stacks. 

  1. Take a stack and put it on top of another stack.
  2. Take a stack and divide it evenly into two stacks.

Is there a sequence of moves that would allow you to have 165 stacks of one chip each?


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