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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Wed Nov 04, 2009 4:53 pm Post subject: Puzzle NR_081 |
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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: | +-----------------------+
| . . 6 | . 8 3 | 4 . 2 |
| . 1 3 | . . . | 9 . 8 |
| 8 4 5 | . 9 2 | . 3 . |
|-------+-------+-------|
| . . . | . . . | . 9 . |
| 7 . 8 | . 6 . | . . . |
| 4 . 1 | . . 7 | 8 . . |
|-------+-------+-------|
| 1 3 . | . . 4 | 6 . . |
| . . 9 | 6 . . | . 4 . |
| 6 8 . | . . . | . . . |
+-----------------------+
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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: Wed Nov 04, 2009 6:35 pm Post subject: |
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this is a path in which each step takes advantage of a ALS
| Code: | .---------------------.---------------------.---------------------.
| 9 7 6 | 15 8 3 | 4 15 2 |
| 2 1 3 | 457 457 6 | 9 57 8 |
| 8 4 5 | 17 9 2 | 17 3 6 |
:---------------------+---------------------+---------------------:
| 3 6 2 | 8 145 15 | 157 9 1457 |
| 7 59 8 | 3459 6 159 | 1235 12 1345 |
| 4 59 1 | 2359 235 7 | 8 6 35 |
:---------------------+---------------------+---------------------:
| 1 3 7 | 259 25 4 | 6 8 59 |
| 5 2 9 | 6 137 8 | 137 4 137 |
| 6 8 4 | 3579 1357 159 | 12357 127 13579 |
'---------------------'---------------------'---------------------' |
1...ALS[(3)r8c5 = (5)r4c7]r348c7 - (5=3)r6c9; r89c9 and r5c7 <> 3
2...ALS[(5)r67c5 = (3)r6c5]r67c5 - (3=4)r5c4 - (4)r2c4 = (4)r2c5; r2c5 <> 5
3...ALS[(1)r59c8 = (7)r9c8]r59c8 - (7)r9c45 = (7)r8c5 - (7=4)r2c5 - (4)r4c5 = (4-7)r4c9 = (7)r4c7 = (7=1)r3c7; r1c8 <> 1 |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Thu Nov 05, 2009 2:02 pm Post subject: |
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An interesting sequence of steps for me involving 3 xyz-wings. Each step opened up as a result of the prior step deletion(s).
kite on 7 with hinge in box 3,
xyz-wing 159 in r5c6,
xyz-wing 145 in r4c5,
xy-wing 23-5 with vertex in r6c5,
xyz-wing 239 in r6c4.
Also notice that the last four moves all centered in box 5.
Ted |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Thu Nov 05, 2009 2:25 pm Post subject: |
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| storm_norm wrote: | this is a path in which each step takes advantage of a ALS
1...ALS[(3)r8c5 = (5)r4c7]r348c7 - (5=3)r6c9; r89c9 and r5c7 <> 3
2...ALS[(5)r67c5 = (3)r6c5]r67c5 - (3=4)r5c4 - (4)r2c4 = (4)r2c5; r2c5 <> 5
3...ALS[(1)r59c8 = (7)r9c8]r59c8 - (7)r9c45 = (7)r8c5 - (7=4)r2c5 - (4)r4c5 = (4-7)r4c9 = (7)r4c7 = (7=1)r3c7; r1c8 <> 1 |
Norm, I love your solutions. I can only assume that you were motivated by the recent post by Asellus on ALS. I have also been trying to use them but have a (long) way to go to reach your level.
Ted  |
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