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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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 Posted: Mon Oct 04, 2010 3:19 am Post subject: 10-03-10... a patterns game puzzle |
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the was posted by m.b.matcalf over in the patterns game thread in the new sudoku players forum.
its only rated a 5.2 SE
but tell that to the solvers.
100020003040000050006000700000502000800000001000604000007000400050000060200030008
| Code: |
+-------+-------+-------+
| 1 . . | . 2 . | . . 3 |
| . 4 . | . . . | . 5 . |
| . . 6 | . . . | 7 . . |
+-------+-------+-------+
| . . . | 5 . 2 | . . . |
| 8 . . | . . . | . . 1 |
| . . . | 6 . 4 | . . . |
+-------+-------+-------+
| . . 7 | . . . | 4 . . |
| . 5 . | . . . | . 6 . |
| 2 . . | . 3 . | . . 8 |
+-------+-------+-------+
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Mon Oct 04, 2010 2:05 pm Post subject: |
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Great puzzle!. It has been some time since I used so many basic steps, but so few bivalue cells limited my steps to single digit patterns.
| Quote: | Coloring or x-chain 4: r5c3=r5c8-r1c8=r1c4-r89c4=r8c5-r8c13=r9c3; r48c3<>4
Coloring or x-chain 4: r9c4=r9c3-r5c3=r5c8-r1c8=r1c4; r38c4<>4
Coloring or x-chain 4: r1c8=r1c4-r9c4=r9c3-r5c3=r5c8; r34c8<>4
Swordfish (5)r159c367; r6c3,r37c6,r6c7<>5
Swordfish (6)r159c267; r47c2,r27c6,r24c7<>6
HP (46)r4c19; r4c19<>13789
HP (56)r19c6; r19c6<>13789
HP (56)r7c5|r9c6; r7c5|r9c6<>124789
xy-wing 2-46 vertex (26)r5c2; r4c9,r5c3<>4
Coloring or x-chain 9: r1c8=r1c3-r2c1=r8c1-r9c2=r9c8; r67c8<>9
xy-wing -189 vertex (89)r1c8; r3c8,r8c7<>1 |
Ted |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Mon Oct 04, 2010 4:33 pm Post subject: |
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Interesting puzzle. All I could do was go down every row and column, finding skyscrapers that eliminated nothing, but that could be extended to make one elimination. My 9th one caused r5c7<>5, which was the move that opened things up.
After that, a simple skyscraper (9) and XY-Wing (139) finished things off.
I'm not sure what Ted's "HP" moves are, unless they're Hidden Pairs. But if they are, I thought they were considered basic and, thus, not usually listed among techniques used. |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Mon Oct 04, 2010 5:15 pm Post subject: |
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| Marty R. wrote: | | I'm not sure what Ted's "HP" moves are, unless they're Hidden Pairs. But if they are, I thought they were considered basic and, thus, not usually listed among techniques used. |
Marty, I agree that hidden pairs (HPs) are a basic step, but I seemed to be stuck when I found the first HP and then I found two more which seemed to open things nicely, so I choose to include them in my post. I assume other paths exist that do not benefit from the HPs. Some of my other steps may also be unnecessary.
Ted |
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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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| Posted: Mon Oct 04, 2010 6:00 pm Post subject: |
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I was hoping that Gurths Symetrical Placement technique might work here  - but sadly the candidates didn't match up. Maybe another time...
So I was focussed on the 79 in the middle... two wings with ALS strong links in stead of bivalues...
| Quote: | m-wing(64) with als ; ANT(479)r258c5:[(6)r2c5=(4)r8c5] - r8c1=(4-6)r4c1=r7c1 ; r7c5<>6
w-wing(19) with als ; ANP(89)r1c8|r2c7:[(1)r2c7=(9)r1c8|r2c7] - r2c9=r7c9 - (9=1)r9c8 ; r3c8<>1, r8c7<>1 |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Tue Oct 05, 2010 12:04 pm Post subject: |
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Peter, two very nice moves.....
Ted |
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