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keith



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

PostPosted: Sat Jul 05, 2008 8:52 pm    Post subject: Recommended Reply with quote

Today's Super Hard from Brain Bashers:
Code:
Puzzle: BB050708sh
+-------+-------+-------+
| 3 9 . | 1 . 2 | . 8 6 |
| 2 . . | . . . | . . 7 |
| . . 6 | . . . | 2 . . |
+-------+-------+-------+
| 7 . . | 5 6 8 | . . 3 |
| . . . | 3 . 4 | . . . |
| 1 . . | 9 2 7 | . . 8 |
+-------+-------+-------+
| . . 1 | . . . | 7 . . |
| 4 . . | . . . | . . 9 |
| 9 6 . | 4 . 3 | . 2 1 |
+-------+-------+-------+
Keith
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tlanglet



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

PostPosted: Sat Jul 05, 2008 9:59 pm    Post subject: Reply with quote

I normally do the Super Hard puzzle from BrainBashers every day but I do not kept notes, and today was no exception. I do remember it was a very long solution path with some x-wings on <5> & <7>, a finned x-wing (or two), some XYZ-wings, a Type 1 UR, and probably an xy-wing. I was considering doing it again to look for a more direct solution, but ......... Wink

Ted
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keith



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

PostPosted: Sat Jul 05, 2008 10:54 pm    Post subject: Reply with quote

Ted,

I did not see other than the long and winding road on this one. Except, the two X-wings to start are very obvious.

Keith
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tlanglet



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

PostPosted: Sat Jul 05, 2008 11:23 pm    Post subject: Reply with quote

keith wrote:
Ted,

I did not see other than the long and winding road on this one. Except, the two X-wings to start are very obvious.

Keith


Yes, I do remember that two different x-wings patterns existed on <7> initially, and both made identical deletions. That was interesting ......

Ted
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keith



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

PostPosted: Sat Jul 05, 2008 11:48 pm    Post subject: Reply with quote

The initial grid has X-wings on both <5> and <7> ...

Keith
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun Jul 06, 2008 6:52 am    Post subject: Reply with quote

hmm, wonder if brainbashers is starting to realize that slightly harder puzzles generate more buzz.
this puzzle is impressive with the number of stops and starts it contains. kind of wonder how many VHs to date had this many steps, without going beyond x,xy,xyz-wing.

I foresee more brainbashers in this section of the forum.

oh and just for kicks, the x-wing on 5 can also be seen as a xy-loop... it does the exact same eliminations but the pattern is at least there.
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ravel



Joined: 21 Apr 2006
Posts: 536

PostPosted: Sun Jul 06, 2008 11:35 am    Post subject: Reply with quote

Nice puzzle.

The x-wing for 5 eliminates 7 5's, the UR 56 two more, followed by an xy-wing 456 to get rid of the 10th 5.
Code:
 *-----------------------------------------------------------*
 | 3     9     457   | 1     47    2     | 45    8     6     |
 | 2     18    48    | 6     348   5     | 13    9     7     |
 | 58   #17-8  6     |#78    34-78 9     | 2     13    45    |
 |-------------------+-------------------+-------------------|
 | 7     2     9     | 5     6     8     | 14    14    3     |
 | 6     58    58    | 3     1     4     | 9     7     2     |
 | 1     4     3     | 9     2     7     | 6     5     8     |
 |-------------------+-------------------+-------------------|
 | 58    38    1     | 2     9     6     | 7     34    45    |
 | 4    #357   2     |#78    5-78  1     | 38    6     9     |
 | 9     6     57    | 4     578   3     | 58    2     1     |
 *-----------------------------------------------------------*

Here i noticed that the x-wing for 7 also eliminates the 8 in r3c2 from the UR 78, though the 8 in r8c2 is already missing from the locked candidates in row 7.
It does not help much, but makes the xyz-wing 178 an xy-wing.
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cathyv



Joined: 25 Apr 2008
Posts: 7
Location: Danbury, CT

PostPosted: Sun Jul 06, 2008 2:17 pm    Post subject: Help on 56 UR Reply with quote

I got this far, and can see where the 56 UR would be but can't see how it works - did I miss an elimination somewhere? Thanks.


Code:

+---------------+-----------+-------------+
| 3  9     457  | 1   47  2 | 45   8   6  |
| 2  148   48   | 6   348 5 | 139  139 7  |
| 58 178   6    | 78  348 9 | 2    13  45 |
+---------------+-----------+-------------+
| 7  24    249  | 5   6   8 | 149  149 3  |
| 6  58    589  | 3   1   4 | 59   7   2  |
| 1  345   34   | 9   2   7 | 456  456 8  |
+---------------+-----------+-------------+
| 58 238   1    | 28  9   6 | 7    34  45 |
| 4  23578 2358 | 278 58  1 | 3568 356 9  |
| 9  6     578  | 4   578 3 | 58   2   1  |
+---------------+-----------+-------------+

Play this puzzle online at the Daily Sudoku site
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keith



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

PostPosted: Sun Jul 06, 2008 3:44 pm    Post subject: Re: Help on 56 UR Reply with quote

cathyv wrote:
I got this far, and can see where the 56 UR would be but can't see how it works - did I miss an elimination somewhere? Thanks.

You have to find the hidden pair in C8 to reveal the UR.

Keith
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Marty R.



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

PostPosted: Sun Jul 06, 2008 3:52 pm    Post subject: Re: Help on 56 UR Reply with quote

keith wrote:
cathyv wrote:
I got this far, and can see where the 56 UR would be but can't see how it works - did I miss an elimination somewhere? Thanks.

You have to find the hidden pair in C8 to reveal the UR.

Keith

Cathy,

If you have trouble with hidden pairs, like I do, try looking for the complementary naked quad instead.
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cathyv



Joined: 25 Apr 2008
Posts: 7
Location: Danbury, CT

PostPosted: Sun Jul 06, 2008 6:03 pm    Post subject: Reply with quote

So easy when someone else points it out....so hard before coffee. Thanks.
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cgordon



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

PostPosted: Sun Jul 06, 2008 8:16 pm    Post subject: Reply with quote

What a most excellent sudoku !

I used two x-wings on 7.
At least two more on 5.
An ER on 5.
Another on 8
A skyscraper on 8.
And finally… an xyz wing - that was probably there all the time.

R5C5 was easy though.
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Marty R.



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

PostPosted: Sun Jul 06, 2008 8:53 pm    Post subject: Reply with quote

I used a couple of X-Wings, two XY-Wings, broke up a DP, had one ER and a W-Wing on 58. Then coloring one of the pincers finished it off.
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