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Subject: 
Re: How to maximize 90-piece bags?
Newsgroups: 
lugnet.off-topic.geek
Date: 
Wed, 8 Nov 2000 00:12:47 GMT
Viewed: 
1641 times
  
In lugnet.lego.direct, Todd Lehman writes:
  369 Black => 5 bags of 90 Black
  369 DGray => 5 bags of 90 DGray
  369 MGray => 5 bags of 90 MGray
  369 LGray => 5 bags of 90 LGray
  460 White => 6 bags of 90 White

I believe this is an optimal solution (proof left as an exercise to the
reader) with sufficient padding to ensure a total of 26 bags of 90 elements,
for a total of 2340 elements, whether the threshold is 88->90 or 89->91 or
90->92.  This gives approximately 10% padding on each color in the worst case
scenario of 90->92.

Sounds like they've set themselves up to give a pretty good bargain since a
best case (for TLC) would be only 22 bags, so being able to get 26 bags is
getting an extra 18.2% (or a 15% discount). Of course they may budget the thing
for 25 bags (and may actually always give you at least 25 bags), in which case
we'll get an extra 4%.

Frank



Message has 1 Reply:
  Re: How to maximize 90-piece bags?
 
(...) thing (...) Of course a smart mosaic generator could pretty easily make sure you only ever get 25 bags. In your "optimal" example, assuming that they do go for perfect use of the 90 plates in a bag, the program only has to recolor 9 or 10 (...) (24 years ago, 8-Nov-00, to lugnet.off-topic.geek)

Message is in Reply To:
  How to maximize 90-piece bags?
 
(...) Hmm. I bet they're *really* 90-count bags and the extras are for if you go over 88, not 90. That is, I'll speculate that if you need 87 or 88, you get one bag. But if you need 89, 90, 91, 92, or any number up to 176, you get two bags. (Just a (...) (24 years ago, 7-Nov-00, to lugnet.lego.direct, lugnet.off-topic.geek)

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