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 Four Weights (Posted on 2004-07-25)
You have 4 weights weighing 2,3,5 and 7 pounds. The problem is none of them are marked. What is the fewest number of weighings you need using a balance scale figure out which weights are which?

 See The Solution Submitted by Brian Smith Rating: 3.5000 (8 votes)

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 re: a computerized start | Comment 4 of 33 |
(In reply to a computerized start by Charlie)

With the useless lines deleted, it's:

`            a 2 2 2 2 2 2 3 3 3 3 3 3 5 5 5 5 5 5 7 7 7 7 7 7            b 3 3 5 5 7 7 2 2 5 5 7 7 2 2 3 3 7 7 2 2 3 3 5 5            c 5 7 3 7 3 5 5 7 2 7 2 5 3 7 2 7 2 3 3 5 2 5 2 3            d 7 5 7 3 5 3 7 5 7 2 5 2 7 3 7 2 3 2 5 3 5 2 3 2ab  v d       \ - - / / / \ - / / / / - / / / / / / / / / / / 18  4  2ab  v c       - \ / - / / - \ / / / / / - / / / / / / / / / / 18  4  2ab  v cd      \ \ \ \ / / \ \ \ \ / / \ \ \ \ / / / / / / / / 12  0 12ac  v d       - / \ / - / / / \ / - / / / - / / / / / / / / / 18  4  2a   v d       \ \ \ \ \ \ \ \ \ / \ / \ / \ / / / / / / / / / 12  0 12ad  v c       / - / \ / - / / / \ / - / / / - / / / / / / / / 18  4  2a   v c       \ \ \ \ \ \ \ \ / \ / \ / \ / \ / / / / / / / / 12  0 12a   v cd      \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ - - \ \ - - / /  2  4 18ac  v b       / / - / \ - / / - / \ / / / / / - / / / / / / / 18  4  2ac  v bd      \ / \ / \ \ \ / \ / \ \ \ / \ / \ \ / / / / / / 12  0 12ad  v b       / / / - - \ / / / - / \ / / / / / - / / / / / / 18  4  2a   v b       \ \ \ \ \ \ / / \ \ \ \ / / / / \ \ / / / / / / 12  0 12a   v bd      \ \ \ \ \ \ \ \ \ \ \ \ \ - \ - \ \ - / \ / \ -  2  4 18ad  v bc      / \ / \ \ \ / \ / \ \ \ / \ / \ \ \ / / / / / / 12  0 12a   v bc      \ \ \ \ \ \ \ \ \ \ \ \ - \ - \ \ \ / - / \ - \  2  4 18bc  v d       / / / / / / - / - / / / \ / \ / / / - / - / / / 18  4  2b   v d       \ \ \ / / / \ \ \ / / / \ \ \ / / / \ \ \ / / / 12  0 12bd  v c       / / / / / / / - / - / / / \ / \ / / / - / - / / 18  4  2b   v c       \ \ / \ / / \ \ / \ / / \ \ / \ / / \ \ / \ / / 12  0 12b   v cd      \ \ \ \ \ \ \ \ \ \ - - \ \ \ \ / / \ \ \ \ - -  2  4 18c   v d       \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / 12  0 12`

 Posted by Charlie on 2004-07-25 12:06:55

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