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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Fri Oct 16, 2009 2:32 am Post subject: Puzzle NR_069 |
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| Code: | NR puzzles can be solved using these techniques:
Basics: Naked/Hidden Single, Naked Pair/Triple, Locked Candidates 1/2
Basics+: Naked Quad, Hidden Pair/Triple/Quad
VH: BUG+1, UR Type 1, X-Wing, XY-Wing
VH+: 2-String Kite, Empty Rectangle, Remote Pair, Skyscraper,
XYZ-Wing, finned X-Wing, UR Type 2/4
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| Code: | +-----------------------+
| . . . | 9 6 . | . 4 2 |
| . . . | . . 3 | 1 5 . |
| . . . | 4 5 . | . . . |
|-------+-------+-------|
| 1 . 9 | . . 6 | 4 . 5 |
| 3 . 4 | . 9 . | . 6 . |
| . 6 . | 2 . . | . . . |
|-------+-------+-------|
| . 1 . | 6 . . | . . 8 |
| 4 5 . | . 8 . | . 3 . |
| 6 . . | 5 . . | 2 . . |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Fri Oct 16, 2009 5:24 pm Post subject: |
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not to give too much away, but this puzzle is solved with 5 VH steps, I think.
BUT.
here is another route.
this is after basics...
| Code: | .---------------------.---------------------.---------------------.
| 578 37 1357 | 9 6 178 | 378 4 2 |
| 789 4 67 | 78 2 3 | 1 5 679 |
| 2789 379 12367 | 4 5 178 | 36789 789 3679 |
:---------------------+---------------------+---------------------:
| 1 8 9 | 3 7 6 | 4 2 5 |
| 3 2 4 | 18 9 5 | 78 6 17 |
| 57 6 57 | 2 14 48 | 389 189 139 |
:---------------------+---------------------+---------------------:
| 279 1 237 | 6 34 2479 | 5 79 8 |
| 4 5 27 | 17 8 279 | 679 3 1679 |
| 6 379 8 | 5 13 79 | 2 179 4 |
'---------------------'---------------------'---------------------' |
(7=3)r1c2 - (3)r9c1 = (3)r9c5 - (3=4)r7c5 - (4=1)r6c5 - (1=8)r5c4 - (8=7)r2c4
r1c6, r2c13 are all not 7
ALS[(9)r7c1 = (3)r7c3]r78c13 - (3)r7c5 = (3-1)r9c5 = (1)r6c5 - (1=8)r5c4 - (8=7)r2c4 - (7=9)r2c9
r2c1 is not 9
bunch of singles
naked pair
intersection in there.
xy-wing finishes.
removes 9 from r8c9 |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Fri Oct 16, 2009 6:39 pm Post subject: |
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| storm_norm wrote: | not to give too much away, but this puzzle is solved with 5 VH steps, I think.
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Two VH+ steps, but there are three VH steps (and another VH+ step) that I know also exist. |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Fri Oct 16, 2009 8:41 pm Post subject: |
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Best I could do was an nice loop and xy-wing
| Code: | *--------------------------------------------------------------------*
| 578 37 1357 | 9 6 178 | 378 4 2 |
| 789 4 67 | 78 2 3 | 1 5 679 |
| 2789 379 12367 | 4 5 178 | 36789 789 3679 |
|----------------------+----------------------+----------------------|
| 1 8 9 | 3 7 6 | 4 2 5 |
| 3 2 4 | 18 9 5 | 78 6 17 |
| 57 6 57 | 2 14 48 | 389 189 139 |
|----------------------+----------------------+----------------------|
| 279 1 237 | 6 34 2479 | 5 79 8 |
| 4 5 27 | 17 8 279 | 679 3 1679 |
| 6 379 8 | 5 13 79 | 2 179 4 |
*--------------------------------------------------------------------*
(7=8)r2c-(8)r5c4=(8-4)r6c6=(4-2)r7c6=(2)r8c6-(2=7)r8c3 => r2c3,r8c4<>7
*--------------------------------------------------*
| 57 37 157 | 9 6 18 | 38 4 2 |
| 8 4 6 | 7 2 3 | 1 5 9 |
| 29 39 12 | 4 5 18 | 368 78 67 |
|----------------+----------------+----------------|
| 1 8 9 | 3 7 6 | 4 2 5 |
| 3 2 4 | 8 9 5 | 7 6 1 |
| 57 6 57 | 2 1 4 | 89 89 3 |
|----------------+----------------+----------------|
|*29 1 3 | 6 4 279 | 5 *79 8 |
| 4 5 *27 | 1 8 279 | 69 3 6-7 |
| 6 79 8 | 5 3 79 | 2 1 4 |
*--------------------------------------------------*
xy-wing 297 |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Sat Oct 17, 2009 5:02 am Post subject: |
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| I used an XY(187), W (79) and XYZ (279). |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Tue Oct 20, 2009 4:32 pm Post subject: |
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I initially spotted a xyz-wing 279 while looking for something else. This opened a xy-wing 23-7 with vertex 23 in r7c3, pincer 27 in r8c3 and an extended pincer on 7 ending in cell r2c4 to complete the puzzle.
Ted |
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