There is a queue of \(n\) truth tellers and liars.
The first person says, “more than half of us are liars".
The second person says, “more than a quarter of us are liars".
The third person says, “more than an eighth of us are liars".
...
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.