Beefy Boxes and Bandwidth Generously Provided by pair Networks
XP is just a number
 
PerlMonks  

Re: Re: Puzzle: need a more general algorithm

by Anonymous Monk
on Jul 08, 2002 at 23:28 UTC ( #180349=note: print w/ replies, xml ) Need Help??


in reply to Re: Puzzle: need a more general algorithm
in thread Puzzle: need a more general algorithm

Greediness does not work in general. What if your categories have sizes 15, 15, 10, 10, 15, 15? Your solution comes out with a suboptimal answer.


Comment on Re: Re: Puzzle: need a more general algorithm
Replies are listed 'Best First'.
Re(3): Puzzle: need a more general algorithm
by FoxtrotUniform (Prior) on Jul 08, 2002 at 23:42 UTC
      Greediness does not work in general. What if your categories have sizes 15, 15, 10, 10, 15, 15? Your solution comes out with a suboptimal answer.

    That's what backtracking's for. :-)

    Actually, that brings up an interesting question: Ovid, are there any bounds on how optimal the answer has to be? Exactly optimal (sucky if this problem turns out to be NP-Hard)? Within a constant factor of optimal (like, max length no more than 1.5x larger than optimal)?

    --
    The hell with paco, vote for Erudil!
    :wq

Log In?
Username:
Password:

What's my password?
Create A New User
Node Status?
node history
Node Type: note [id://180349]
help
Chatterbox?
and the web crawler heard nothing...

How do I use this? | Other CB clients
Other Users?
Others surveying the Monastery: (4)
As of 2015-07-28 01:44 GMT
Sections?
Information?
Find Nodes?
Leftovers?
    Voting Booth?

    The top three priorities of my open tasks are (in descending order of likelihood to be worked on) ...









    Results (251 votes), past polls