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Puzzle 10/06/28: "almost" VH with a twist

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Jun 28, 2010 9:04 pm    Post subject: Puzzle 10/06/28: "almost" VH with a twist Reply with quote

Code:
 +-----------------------+
 | 2 . . | 8 . . | . 5 . |
 | . 7 . | . 3 . | . . . |
 | . . 8 | 5 . . | 3 . . |
 |-------+-------+-------|
 | 8 . 9 | 7 . 5 | . . 6 |
 | . 6 . | . . . | 5 . 1 |
 | . . . | 6 . 3 | 7 . . |
 |-------+-------+-------|
 | . . 2 | . 5 8 | 9 7 3 |
 | 7 . . | . . . | 6 . . |
 | . . . | 2 6 . | 1 . . |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site

twist wrote:
overlapping URs form "combined" logic ___ peterj should love it.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Jun 29, 2010 6:00 am    Post subject: Reply with quote

This puzzle is more difficult that the title implies. More like Advanced!!!
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Tue Jun 29, 2010 8:02 am    Post subject: Reply with quote

Nice one Danny!
Three steps including the twist (unless there is another one!)
Quote:
UR(58) UR(48) overlap; r9c9=5, r6c8=9 (you can play it in two moves with the UR(48) for example as an "Avoidable rectangle" with three corners placed.)
x-wing(1) r26c3<>1, r3c6<>1
xy-wing(46-1) r3c6; r2c8<>1
I spent a bit of time trying to find some BUG-Lite logic in the trail of 14s - but failed. An extraneous x-chain on 4 was alll that came from it - for me at any rate.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Tue Jun 29, 2010 1:11 pm    Post subject: Reply with quote

Danny, your title for this puzzle encouraged me to look for interesting or unusual things. It was fun..........

I essentially did the same process as Peter and also used the UR that was not a VH step, but I assumed that was the "twist".

The only thing I found with all the 14s was a Remote Pair that did not shorten the number of steps (and was not a VH step). I also pursued the two overlapping AUR16 in r12c36 & r23c68, but was only able to get a wimpy r2c6<>1 result which was not useful.

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Jun 29, 2010 3:05 pm    Post subject: Reply with quote

The overlapping URs was the twist that I saw. I have two more puzzles like this that I'll drop into the mix every now and then.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Tue Jun 29, 2010 3:59 pm    Post subject: Reply with quote

I guess I didn't notice overlapping URs.

Type 1 UR (58)
Remote Pairs (14)
Potential 45 DP in boxes 14; either way of killing it solves box 3 the same way.
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