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Mmm... nuggets. (Posted on 2002-10-10) Difficulty: 3 of 5
At a certain nation-wide fast food chain, you can get chicken nuggets in boxes of 6, 9, and 20. What is the maximum number of nuggets you could ask for such that no combination of the 3 sizes will give you exactly what you wanted?

See The Solution Submitted by Happy    
Rating: 4.0000 (5 votes)

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re(2): transformations | Comment 4 of 6 |
(In reply to re: transformations by Happy)

the transformations are the algebraic proof that all numbers above 48 are reachable with
6,9 and 20.

eg S-1,N+1 -> +3

means that removing one six pack and adding one
9 pack has a net effect of +3 nuggets. covering all transformations +1 to +5 like this implies all numbers are reachable.

47 is just the first number under 48. i just couldnt be bother do the hard work of checking
down from 48..
  Posted by Cheradenine on 2002-10-10 07:17:48

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