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Set Q Puzzle 98

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Wed Mar 11, 2009 4:23 pm    Post subject: Set Q Puzzle 98 Reply with quote
Last puzzle of this set.

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

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Wed Mar 11, 2009 10:44 pm    Post subject: Reply with quote
Code:
.------------------.------------------.------------------.
| 3     69   *1679 | 5     67    4    | 8    *19    2    |
| 25    8     569  | 3     26    1    | 7    *59    4    |
| 257   1257  4    | 9     27    8    | 6     135  3-5   |
:------------------+------------------+------------------:
| 1     3     2    | 6     4     9    | 5     7     8    |
| 4     57    57   | 8     1     3    | 2     6     9    |
| 8     69    69   | 7     5     2    | 34    34    1    |
:------------------+------------------+------------------:
| 9     15    8    | 2     3     7    | 14    45    6    |
| 257   1257 *157  | 4     9     6    |*13    8    *35   |
| 6     4     3    | 1     8     5    | 9     2     7    |
'------------------'------------------'------------------'

when I see the conjugate 1's in column 3, I notice how they connect the {1,9} cell in r1c8 and the {1,3} cell in r8c7 like a w-wing (by the way, this is what I and Asellus meant by mixed w-wing).
then my eyes are drawn to how candidate 5 shares a cell with each of those candidates close by
as in the case of the {3,5} cell in r8c9 and the {5,9} cell in r2c8

so if either the 9 or the 3 is true in the two ends of the mixed w-wing,
then this makes the 5's true in r2c8 and r8c9 and eliminates the 5 in r3c9.

this puts a whole in the puzzle which is left with a BUG and places 2 in r3c1.
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Wed Mar 11, 2009 11:17 pm    Post subject: Reply with quote
storm_norm wrote:
Code:
.------------------.------------------.------------------.
| 3     69   *1679 | 5     67    4    | 8    *19    2    |
| 25    8     569  | 3     26    1    | 7    *59    4    |
| 257   1257  4    | 9     27    8    | 6     135  3-5   |
:------------------+------------------+------------------:
| 1     3     2    | 6     4     9    | 5     7     8    |
| 4     57    57   | 8     1     3    | 2     6     9    |
| 8     69    69   | 7     5     2    | 34    34    1    |
:------------------+------------------+------------------:
| 9     15    8    | 2     3     7    | 14    45    6    |
| 257   1257 *157  | 4     9     6    |*13    8    *35   |
| 6     4     3    | 1     8     5    | 9     2     7    |
'------------------'------------------'------------------'

when I see the conjugate 1's in column 3, I notice how they connect the {1,9} cell in r1c8 and the {1,3} cell in r8c7 like a w-wing (by the way, this is what I and Asellus meant by mixed w-wing).
then my eyes are drawn to how candidate 5 shares a cell with each of those candidates close by
as in the case of the {3,5} cell in r8c9 and the {5,9} cell in r2c8

so if either the 9 or the 3 is true in the two ends of the mixed w-wing,
then this makes the 5's true in r2c8 and r8c9 and eliminates the 5 in r3c9.

this puts a whole in the puzzle which is left with a BUG and places 2 in r3c1.

What have you got against eliminating 5 in r7c8 as well? Smile

Seriously, I lose track of the forest for the trees when manually searching for relationships in a PM. I'm envious of your success!!!
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Wed Mar 11, 2009 11:20 pm    Post subject: Reply with quote
that is 5 something I missed, good call
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sun Mar 15, 2009 11:55 pm    Post subject: Reply with quote
My two step solution starts with a xy<145> with pivot <45> at r7c8 and pseudo-cell <15> in r12c8. Transport the <1> in r1c8 to r8c3 via r1c3 to delete <1> from r7c2 and r8c7. Then a xy-wing<127> completes the task.

Ted Smile
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