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| gsf
| | Joined: 18 Aug 2005 | | Posts: 411 | | : | | Location: NJ USA |
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 Posted: Mon Feb 13, 2006 2:26 am Post subject: |
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| eclark wrote: | | So whats the opposite? Whats the highest cascading singles before hitting a stopping place. This seems a bit harder to count. |
3 posts back -- 64
if "solution" is counted as a "stopping place" and 17 is the minimum number of clues |
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| Ruud
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 | | Joined: 17 Sep 2005 | | Posts: 708 | | : | | Location: Netherlands |
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| Posted: Mon Feb 13, 2006 2:26 am Post subject: |
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I've seen this pattern in a number of "almost there" posts on various forums. It solves in 3 ways:
1. Your X-xycle.
2. Remote pairs R8C2-R5C9 eliminate 1 in R5C2.
3. BUG allows immediate placement of 1 in R9C2. It was a similar sudoku that lead to the discovery of BUGs.
Ruud.
_________________
Meet me at sudocue.net |
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| JPF
| | Joined: 05 Dec 2005 | | Posts: 29 | | : | | Location: Paris |
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| Posted: Fri Mar 03, 2006 10:19 pm Post subject: |
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a bit late on this thread…
This final grid, with 21 holes, has 1 or 0 solution, whatever the x are.
| Code: |
. x x|x x x|. x x
x x x|. x .|x . x
x . x|x x .|x x x
-----+-----+-----
x . x|x . x|x x x
. x x|x . x|. x x
x x x|. x x|x x .
-----+-----+-----
x . .|x x x|. x x
x x .|x x x|x x .
x x x|. x x|x . x
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One path to get the solution (if any) :
r9c4 - r9c8 - r2c8 - r1c7 - r1c1 - r5c1 - r4c2 - r4c5 - r5c5 - r5c7 - r7c7 - r8c9 - r8c3 - r7c3 - r7c2 - r3c2 - r3c6 - r2c6 - r2c4 - r6c4 - r6c9
I have tried a lot of grids.
Impossible to do better than 21 ; why ?
Thanks in advance.
JPF |
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