Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



Re: "Logic puzzle" logic
Posted:
Dec 1, 1999 12:52 PM


This post not CC'd by email On Wed, 01 Dec 1999 08:13:32 +1300, Quentin Grady <quentin@inhb.co.nz> wrote:
>G'day G'day Folks, > > Every so often I attempt "Logic puzzles"
At a certain point the clues that lead to simply filling in the grid seem to be exhausted. At this stage the usual approach is to consider the remaining possibilities and to show that one of them has an inconsistency. What I am wondering is, "Are the clues necessary once this stage is reached? Or has a point been reached where internal consistency demands discarding all other solutions and ending up with a unique solution?"
So here is a typical grid (best viewed in fixed pitch font)
F N P 200 250 300 C M G B ? ? ? 0 ? ? ? ? 0 L 0 ? ? 1 0 0 ? ? ? V ? ? 0 0 ? ? ? ? ?
C ? ? 0 0 ? ?
M 0 0 1 0 ? ?
G ? ? 0 1 0 0
200 ? ? ?
250 ? ? ?
300 ? ? 0
Is it soluble by Boolean algebra or matrix methods?
Thanks,
PS I'll put the clues in a follow up post just in case I've left out a clue that would have brought the puzzle to the point where internal consistency alone would solve it.



