From =?UTF-8?Q?Micha=C5=82_Piechowski?=@21:1/5 to All on Tue Oct 3 01:09:15 2023
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?