When I looked at my fitness tracker this moring, it showed I had taken $$1991$$ steps today.  This is a palindromic number (which means it is the same read forwards as read backwards).  How many~\textbf{more~}steps do I need to take before my fitness tracker shows another palindromic number?  ~\uline{~~~~~~~~~~}~ 
Overseas Competition->Knowledge Point->Combinatorics->Combinatorics Involving Extreme Values->Extreme Value in Enumeration Problems