From: m.z.piechowski@gmail.com   
      
   Hi,   
      
   I've been checking this problem recently and friend pointed me to your   
   solution. I've verified that indeed that set of 163 "tickets" is enough, so I   
   send my respect for your achievement. Anyway, I have a question because in   
   this thread the word "improved"   
    appears many times but word "optimal" was not mentioned even once. During my   
   tries I've came to the point where my set had size less than 400 but it was   
   not a problem (just a bit CPU intensive task) to make it smaller since in   
   multiple tickets I could    
   replace some numbers with "0" and still such set would cover all cases. I've   
   used my algorithm on your 163 record and there is not even a one number that   
   could be removed from any of those tickets, so in my eyes this is optimal   
   solution which can't be    
   improved further. Am I missing something?   
      
   BR,   
   Michal   
      
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