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There is a queue of \(n\) truth tellers and liars.

  1. The first person says, “more than half of us are liars".

  2. The second person says, “more than a quarter of us are liars".

  3. The third person says, “more than an eighth of us are liars".

  4. ...

  5. The \(n\)th person says, “more than \(\frac{1}{2^n}\) of us are liars".

Describe what the number of truth-tellers and liars could be, as well as their placement in the queue. Note that the solutions are not fixed numbers.