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Menneske SH(21) #4363776

 
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Thu Oct 22, 2009 1:13 am    Post subject: Menneske SH(21) #4363776 Reply with quote
This is another Menneske that I found hard to get started, but then the next couple of moves were also hard........

I did find an unusual xyz-wing and an unusual w-wing strong link
Code:

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

Play this puzzle online at the Daily Sudoku

Code after basics:
Code:


 *-----------------------------------------------------------------------------*
 | 4       359     38      | 15689   689     7       | 689     1689    2       |
 | 189     6       7       | 1589    2       89      | 4       3       1589    |
 | 189     59      2       | 145689  4689    3       | 6789    16789   1589    |
 |-------------------------+-------------------------+-------------------------|
 | 7       1       9       | 68      3       2       | 68      5       4       |
 | 68      4       5       | 7       689     1       | 3       2       89      |
 | 3       2       68      | 4689    5       4689    | 1       689     7       |
 |-------------------------+-------------------------+-------------------------|
 | 69      79      46      | 3       148     5       | 2       1789    189     |
 | 2       8       1       | 69      7       69      | 5       4       3       |
 | 5       379     34      | 2       148     48      | 789     1789    6       |
 *-----------------------------------------------------------------------------*

Quote:
xy-wing 46-9 with vertex 46 in r7c3. pincer 69 in r7c1 and extended pincer 49: (4-6)r7c3 = (6)r6c3 - (6=8)r5c1 - (8=9)r5c9; r7c9<>9,

xy-wing 48-9 with vertex 48 in r9c6, pincer 89 in r2c6 and extended pincer 49: (4)r9c6 - (4=3)r9c3 - (3=8)r1c3 - (8)r6c3 = (8)r5c1 - (8=9)r5c9; r2c9<>9,

xyz-wing 689 in r5c5 with extended external pincer
... If r5c5=6, then r4c4=8; r6c46<>8,
... if r5c5=8 then r6c46<>8,
... if r5c5=9 then r5c9=8, then r4c7<>8, then r4c4=8; r6c46<>8. Thus r6c46<>8

w-wing 89 in r2c6 & r5c9 and extended strong link 9 in box5
... if r5c5=9 thenr5c9=8,
... if r6c6=9 then r2c6=8,
... if r6c4=9 then r8c4<>9, then r8c6=9, then r2c6=8
so the w-wing directly eliminates the 8 in r2c9. Now, transport 8 in r5c9 to r4c4 via r4c7 to delete 8 in r123c4.

After cleanup a w-wing 89 in r1c7 & r6c8 with strong link 8 in col3 deletes 9 in r13c8. Transport 9 in r6c8 to r3c9 via r5c9 to delete 9 in r3c7. Another transport 9 r6c8 to r5c5 via r5c9 to delete 9 in r1c5.

x-wing 9 in r35c59 deletes 9 in r3c124 to complete the puzzle.


The two unusual moves made this a fun puzzle, but other solutions are probably more direct.

Ted
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Thu Oct 22, 2009 6:31 pm    Post subject: Reply with quote
ted,
doing what you did to extend some named techniques was about as direct as can be expected for this puzzle. very nice.
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Fri Oct 23, 2009 12:00 am    Post subject: Reply with quote
This is a network, but it cracks the puzzle after basics.

Code:
                          --------------
                        /                \
 (8=6)r6c3 - r5c1 = r5c5 - r4c4 = r4c7 - (6=89)r1c57 - (8)r1c3 = (8)r6c3
 +--------------------------------------------------------------------------------+
 |  4       359     38      |  15689   689     7       |  689     1689    2       |
 |  189     6       7       |  1589    2       89      |  4       3       1589    |
 |  189     59      2       |  145689  4689    3       |  6789    16789   1589    |
 |--------------------------+--------------------------+--------------------------|
 |  7       1       9       |  68      3       2       |  68      5       4       |
 |  68      4       5       |  7       689     1       |  3       2       89      |
 |  3       2       68      |  4689    5       4689    |  1       689     7       |
 |--------------------------+--------------------------+--------------------------|
 |  69      79      46      |  3       148     5       |  2       1789    18      |
 |  2       8       1       |  69      7       69      |  5       4       3       |
 |  5       379     34      |  2       148     48      |  789     1789    6       |
 +--------------------------------------------------------------------------------+
 # 81 eliminations remain
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Fri Oct 23, 2009 2:17 pm    Post subject: Reply with quote
Very, very nice solution Danny.

Ted
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