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ronk
Joined: 07 May 2006
Posts: 398
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 Posted: Tue Dec 21, 2010 4:47 pm Post subject: |
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| daj95376 wrote: | | ronk wrote: | | My point is that a BUG-Lite usually has two solutions, but no solution is also a possibility. |
I was unaware that a BUG/BUG-Lite/DP could have zero solutions. |
Until peterj's example above, I wasn't aware of it either, but I think it's the reasonable way to look at this.
The example fits the construction rules of a BUG-Lite:
(1) all cells of the BUG-Lite+0 pattern are bivalues, and
(2) each digit within the BUG-Lite+0 cells occurs exactly twice within its respective row and column and box.
For a puzzle with a unique solution, whether the BUG-Lite+0 has two solutions or no solution matters not. Two solutions is not acceptable ... and no solution is not acceptable.
| daj95376 wrote: | | Since neither of these scenarios is acceptable, there must be another candidate in one of these 14 cells that is true -- i.e., Peter's original scenario. |
Exactly. |
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