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", and so on, until 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.