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Puzzle NR 09/11/26 (B)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Thu Nov 26, 2009 3:28 pm    Post subject: Puzzle NR 09/11/26 (B) Reply with quote
Should be fun ... honestly.

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

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Fri Nov 27, 2009 3:24 am    Post subject: Reply with quote
Code:
.---------------------.---------------------.---------------------.
| 8      1      3     | 7      26     26    | 459    459    45    |
| 259    6      259   | 59     34     34    | 1      8      7     |
| 7      59     4     | 8      1      59    | 6      3      2     |
:---------------------+---------------------+---------------------:
| 4      58     6     | 1      358    7     | 35     2      9     |
| 1      25     7     | 25     9      36    | 8      46     346   |
| 3      2589   59    | 4      2568   2568  | 7      1      56    |
:---------------------+---------------------+---------------------:
| 2569   3      8     | 259    7      2459  | 2459   4569   1     |
| 259    7      259   | 6      2458   1     | 23459  459    3458  |
| 2569   4      1     | 3      258    2589  | 259    7      568   |
'---------------------'---------------------'---------------------'

xy-wing 456 removes 4 from r5c9 and r1c8.

then this UR strong inference.

Code:
+--------------------+--------------------+------------------+
| 8      1     3     | 7     26    26     | 459    59    45  |
| 5(29)  6     5(29) | 5(9)  34    34     | 1      8     7   |
| 7      59    4     | 8     1     5-9    | 6      3     2   |
+--------------------+--------------------+------------------+
| 4      58    6     | 1     358   7      | 35     2     9   |
| 1      25    7     | 25    9     36     | 8      4     36  |
| 3      2589  59    | 4     2568  2568   | 7      1     56  |
+--------------------+--------------------+------------------+
| 59     3     8     | 25-9  7     2459   | 2459   6     1   |
| 5(29)  7     5(29) | 6     48    1      | 34     5(9)  348 |
| 6      4     1     | 3     258   258(9) | 25(9)  7     58  |
+--------------------+--------------------+------------------+

the UR29 in r28c13, the only other UR candidates in rows 2 and 8 are the 9's in r9c7 and r2c4. therefore these two 9's can't both be false or the UR is forced to exist in the UR cells.

UR29[(9)r2c4 = (9)r9c7] - (9)r9c7 = (9)r9c6; r3c6 <> 9
after some singles
[deleted by daj] a type 1 UR and you can remove 2 and 5 from r8c1.

[Edit by daj: corrected specifics on second UR.]
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Sat Nov 28, 2009 5:39 am    Post subject: Reply with quote
XY-Wing (564)
ER (5)
Type 1 UR (25)
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Thu Dec 03, 2009 1:58 am    Post subject: Reply with quote
I believe that I had the most fun with this puzzle because I had the most moves; four!

I also started with the xy-wing -456, which resulted in the following code.
Code:
*-----------------------------------------------------------*
 | 8     1     3     | 7    @26   @26    | 459   59    45    |
 | 259   6     259   | 59    34    34    | 1     8     7     |
 | 7     59    4     | 8     1     59    | 6     3     2     |
 |-------------------+-------------------+-------------------|
 | 4     58    6     | 1     358   7     | 35    2     9     |
 | 1     25    7     | 25    9     36    | 8     4     36    |
 | 3    *2589  59    | 4    @2568 @2568  | 7     1    5*6    |
 |-------------------+-------------------+-------------------|
 | 59    3     8     | 259   7     2459  | 2459  6     1     |
 | 259   7     259   | 6     48    1     | 34    59    348   |
 | 6     4     1     | 3     258   2589  | 259   7     58    |
 *-----------------------------------------------------------*

Like Norm, I found a UR inference but it was on the UR 26 in r16c56. To prevent the DP, either r6c2=2 or r6c9=6. Thus,
(5=2)r5c2 - UR26[(2)r6c2 = (6)r6c9] - (6=3)r5c9 - (3=5)r4c7; r4c2<>5. This was a fun move but totally useless Exclamation

Then a xy-wing 25-9 with vertex in r5c2, pincer 59 in r6c3 and pincer 29 a pseudocell in r25c4 plus a pincer transport, and finally a
Type 1 UR 25 in r28c13 to complete the puzzle.

Ted Very Happy
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