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Puzzle 11/04/04: ~ Difficult

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Apr 04, 2011 8:25 pm    Post subject: Puzzle 11/04/04: ~ Difficult Reply with quote

Code:
 +-----------------------+
 | 1 . . | 9 . . | . 8 2 |
 | . 8 . | 7 . . | . . . |
 | . . 2 | . . . | . 6 7 |
 |-------+-------+-------|
 | 8 1 . | 4 . . | 2 . . |
 | . . . | . 9 . | 6 . . |
 | . . . | . . 2 | . 3 . |
 |-------+-------+-------|
 | . . . | 8 1 . | . 7 6 |
 | 6 . 8 | . . 7 | 9 . . |
 | 3 . 1 | . . . | 8 . 4 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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peterj



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

PostPosted: Tue Apr 05, 2011 8:23 am    Post subject: Reply with quote

Two non-fancy(!) moves..
Quote:
type1 UR(59) ; r2c9<>59=3
m-wing(63) ; (6=3)r4c6 - r1c6=(3-6)r1c2=r2c3 ; r4c2<>6
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Apr 05, 2011 3:11 pm    Post subject: Reply with quote

peterj wrote:
Two non-fancy(!) moves..

Yes, I forgot to cross-check some of the puzzles (in this puzzle file) for "Wing" moves. _ Embarassed _
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Marty R.



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

PostPosted: Wed Apr 06, 2011 12:42 am    Post subject: Reply with quote

Three non-fancy moves.

Coloring; r2c6<>3
Type 1 UR (59)
X-Wing; r1c6, r6c3<>6
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tlanglet



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

PostPosted: Thu Apr 07, 2011 3:04 pm    Post subject: Reply with quote

One non-fancy and one "kinda" fancy AURs ..........

Type 1 UR(59)r24c89; r2c9<>59=3

AUR(56)r69c45 external sis r5c46=5, r4c6=6; r4c6=6
AUR(56)[(6)r4c6=(5)r5c46]-(5=3)r5c3-(3=6)r4c3-r2c3=(6-3)r1c2=r1c6-(3=6)r4c6;

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Apr 07, 2011 6:45 pm    Post subject: Reply with quote

Ted,

I understand that the AUR is what caught your attention and started your analysis. What bothers me is that the part in green exists w/o the AUR.

AUR(56)[(6)r4c6=(5)r5c46]-(5=3)r5c3-(3=6)r4c3-r2c3=(6-3)r1c2=r1c6-(3=6)r4c6

In fact, all you need is:

(6)r2c3=(6-3)r1c2=r1c6-(3=6)r4c6; r4c3<>6
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tlanglet



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

PostPosted: Fri Apr 08, 2011 2:40 pm    Post subject: Reply with quote

Danny,

As I have done in the past, I posted the actual sequence of steps that I initially found. In reviewing the pattern, I noticed other possibilities and also considered the recent post by Ronk regarding solutions that set a value rather than make a deletion, but again I choose to post my initial result since it reflects the logic used.

Ted.
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peterj



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

PostPosted: Fri Apr 08, 2011 2:55 pm    Post subject: Reply with quote

Ted, some like to optimise some don't - I get as much fun trying to make my solution more 'optimal' as I do originally solving it. I don't obsess over it for most puzzles (though I do for some of the weekly published ones) and I often set myself a bar on what types of move I am going to explore for a particular puzzle. Each to his own!
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