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Free Press Mar 18, 2010 (Thursday)

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Fri Mar 19, 2010 2:13 am    Post subject: Free Press Mar 18, 2010 (Thursday) Reply with quote

A very good very hard. (I enjoyed the basics.)
Code:
Puzzle: DS031810
+-------+-------+-------+
| . . 9 | . 7 . | . . . |
| . 2 . | 5 . 1 | . . . |
| 5 . . | . . 9 | . . 8 |
+-------+-------+-------+
| 3 1 . | . . . | . 8 . |
| . . . | . 8 . | 9 . . |
| . 5 . | . . . | . 3 6 |
+-------+-------+-------+
| 1 . . | . . . | . . 2 |
| . . . | 2 . 3 | . 7 . |
| . . 3 | . 1 . | 6 . . |
+-------+-------+-------+

Keith


Last edited by keith on Fri Mar 19, 2010 4:35 pm; edited 1 time in total
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Marty R.



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

PostPosted: Fri Mar 19, 2010 4:44 am    Post subject: Reply with quote

Definitely lots of basics, after which I used three steps.

Quote:
Type 4 UR (78)
Type 1 UR (56)
BUG+1
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tlanglet



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

PostPosted: Fri Mar 19, 2010 4:51 am    Post subject: Reply with quote

Yes, I also found the basics interesting for this puzzle.

My three steps to solve the puzzle were:

Quote:
UR 78 in r79c24. Looking at the outside constraints, no 7 exist in r79 but r79c6=8. Thus a 8 in required in r79c6 which deletes the 8 in r1c6,
Type 1 UR 56 in r78c35 sets r7c5=9,
BUG+1 forces r3c5=6.

Ted
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Fri Mar 19, 2010 6:50 am    Post subject: Reply with quote

Very good puzzle. I like it when the basics provide some challenge.

I found an xyz-wing 36-236-26 box 2 / row 3 that did it. Cannot remember if I used any other advanced moves but I don't think so.
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Fri Mar 19, 2010 8:09 am    Post subject: Reply with quote

What is it?
Code:

 *--------------------------------------------------------------------*
 | 6      34     9      | 48     7      248    | 1      25     35     |
 | 8      2      7      | 5     *36     1      | 4      69     39     |
 | 5     *34     1      |*46     26-3   9      | 7      26     8      |
 |----------------------+----------------------+----------------------|
 | 3      1      4      | 69     269    26     | 5      8      7      |
 | 7      6      2      | 3      8      5      | 9      1      4      |
 | 9      5      8      | 1      4      7      | 2      3      6      |
 |----------------------+----------------------+----------------------|
 | 1      78     56     | 46789  569    468    | 3      49     2      |
 | 4      9      56     | 2      56     3      | 8      7      1      |
 | 2      78     3      | 4789   1      48     | 6      459    59     |
 *--------------------------------------------------------------------*
is it an xy-346?
It removes the 3 from r3c5 to solve the puzzle.
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tlanglet



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

PostPosted: Fri Mar 19, 2010 1:26 pm    Post subject: Reply with quote

nataraj wrote:
Very good puzzle. I like it when the basics provide some challenge.

I found an xyz-wing 36-236-26 box 2 / row 3 that did it. Cannot remember if I used any other advanced moves but I don't think so.


Nataraj,

I noticed the URs immediately after basics and never looked at any other conditions. Your xyz-wing was a good find.

The xyz-wing could also be viewed as a finned xy-wing as I noted in a post here in the Solving Techniques thread of this forum. The finned xy-wing provided additional deletions (which were not needed in this case to complete the puzzle).

Ted
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cgordon



Joined: 04 May 2007
Posts: 769
Location: ontario, canada

PostPosted: Fri Mar 19, 2010 1:26 pm    Post subject: Reply with quote

Same as Marty two URs and a Bug+1. Probably the easiest to spot.

It's not really relevant but there were so many initial <4>s (I counted 48). I wonder what the maximum number of a single digit could be - probably 72. And why am I worried?
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Fri Mar 19, 2010 2:35 pm    Post subject: Reply with quote

I used that same XY-wing as Ted.

cgordon wrote:
It's not really relevant but there were so many initial <4>s (I counted 4Cool. I wonder what the maximum number of a single digit could be - probably 72. And why am I worried?


There are 81 cells, and the minimum number of clues is 17. Note that one digit may be missing in the initial clues, so I suppose the answer is 81 - 17 = 64.

Keith
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