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Puzzle 11/01/29

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat Jan 29, 2011 7:47 pm    Post subject: Puzzle 11/01/29 Reply with quote

I hope You like Basics along with your advanced steps!

BTW: I (manually) found an unusual (for me) UR in place of my solver's last step.

Code:
 +-----------------------+
 | 3 . . | 4 . . | 9 7 6 |
 | . . . | . . 9 | . 1 3 |
 | . . 2 | . . . | . 8 . |
 |-------+-------+-------|
 | 4 . . | 2 . 6 | . 9 . |
 | . . . | . 8 . | . . . |
 | . 2 . | 9 . . | . . 1 |
 |-------+-------+-------|
 | 7 . . | . . . | 8 . . |
 | 2 4 9 | 6 . . | . 5 7 |
 | 8 3 . | . . 7 | . 4 . |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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Marty R.



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

PostPosted: Sun Jan 30, 2011 12:10 am    Post subject: Reply with quote

Quote:
Type 1 UR (29)
X-Wing (3)
Type 1 UR (45)
XY-Wing (671) + transport
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peterj



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

PostPosted: Sun Jan 30, 2011 11:13 am    Post subject: Reply with quote

After "fun" basics and steered by Danny's comments...
Code:
 *---------------------------------------------------------------------*
 | 3      8      15     | 4      125    125    | 9       7      6      |
 | 56     67     4      | 8      567    9      | 2       1      3      |
 | 19     679    2      | 137    1367   13     |*45      8     *45     |
 |----------------------+----------------------+-----------------------|
 | 4      (15)  *37     | 2      357-1  6      |*37+5    9      8      |
 | 19     69    *37     | 137    8      1345   |*3457+6  2     *45     |
 | 56     2      8      | 9      3457   345    | 34567   36     1      |
 |----------------------+----------------------+-----------------------|
 | 7      15     156    | 135    249    24     | 8       36     29     |
 | 2      4      9      | 6      (1)3   8      | (1)3    5      7      |
 | 8      3      156    | 15     29     7      | (16)    4      29     |
 *---------------------------------------------------------------------*
The two overlapping UR(37) and UR(45) form a MUG+2 which can be avoided by (5)r4c7, (6)r5c7 - they ko (1)r4c5 cracking the puzzle in one step!
Code:
(1=5)r4c2 - MUG(3457)[(5)r4c7=(6)r5c7] - (6=1)r9c7 - r8c7=r8c5 ; r4c5<>1
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keith



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

PostPosted: Sun Jan 30, 2011 3:47 pm    Post subject: Reply with quote

After basics:
Code:
+-------------------+-------------------+-------------------+
| 3     8     15    | 4     125   125   | 9     7     6     |
| 56    67    4     | 8     567   9     | 2     1     3     |
| 19    679   2     | 137   1367  13    | 45    8     45    |
+-------------------+-------------------+-------------------+
| 4     15d   37    | 2    -1357  6     | 357   9     8     |
| 19    69    37    | 137   8     1345  | 34567 2     45    |
| 56c   2     8     | 9     3457  345   | 34567 36b   1     |
+-------------------+-------------------+-------------------+
| 7     15    156   | 135   249   24    | 8     36    29    |
| 2     4     9     | 6     13a   8     | 13    5     7     |
| 8     3     156   | 15    29    7     | 16    4     29    |
+-------------------+-------------------+-------------------+
a and b are a pseudocell 16, from coloring on 3. cd complete the XY-wing, taking out 1 in R4C5.

Keith
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Marty R.



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

PostPosted: Sun Jan 30, 2011 4:48 pm    Post subject: Reply with quote

I don't understand the pseudo cell as part of an XY-Wing, but I can easily see an XY-Chain running between a and d.
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peterj



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

PostPosted: Sun Jan 30, 2011 5:04 pm    Post subject: Reply with quote

I support the use of "pseudocell" in a pretty "broad" interpretation Smile
But here this is one strong link (1=6) created from either 3 SL (using the (3)SL in b9) or 4 SL (using the xy-chain fragment). Bit of a stretch Question Exclamation
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keith



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

PostPosted: Sun Jan 30, 2011 5:52 pm    Post subject: Reply with quote

I started with the pairs 13 in R8 and 36 in C8. (Actually, I was looking for kites / skyscrapers.)

a and b are pincers on 3. Because of the strong link 13 - 36 on 3 in B9, only one of ab is 3. Either a is 1 or b is 6.

Fits my definition of a pseudocell.

Keith
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Jan 30, 2011 7:36 pm    Post subject: Reply with quote

Keith,

I must admit that I didn't pay much attention to "from coloring on 3" in your explanation. I now see that was a mistake!
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keith



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

PostPosted: Sun Jan 30, 2011 7:51 pm    Post subject: Reply with quote

Quote:
"from coloring on 3"


Well, I was being careful not to call it a kite or skyscraper.

If the pattern were a kite or skyscraper (no strong link on 3 in B9), then the pseudocell does not exist. Even though a and b are still pincers on 3. (There is a possibility that both a and b are 3.)

Keith
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