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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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 Posted: Wed Nov 21, 2007 6:12 am Post subject: NOV 21 VH |
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basics get you to the grid below, minus the clutter.
I love the finns in this one. there are three at the same time.
the @ is a finned x-wing on 2, removing 2 from r7c2,3
the # is a finned on x-wing on 7, removing 7 from r5c6
the % is a finned x-wing on 8, removing 8 from r4c4
| Code: | ------------------------------------------------------------------------------|
| 3689% 1 3689 | 238 5 238% | 7 4 69 |
| 29@ 4 5 | 6 7 1 | 8 29@ 3 |
| 7 26 38 | 4 38 9 | 16 5 126 |
------------------------------------------------------------------------------|
| 689% 3 689 | 17-8# 4 78#% | 2 179# 5 |
| 5 279 289 | 12378 6 238-7% | 134 179 1479 |
| 1 27 4 | 237 9 5 | 36 8 76 |
------------------------------------------------------------------------------|
| 2369@ 69-2 1369-2 | 5 23 347# | 14 127@# 8 |
| 4 5 12 | 78 28 6 | 9 3 127 |
| 23@ 8 7 | 9 1 34 | 5 6 24 |
------------------------------------------------------------------------------| |
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Johan
Joined: 25 Jun 2007
Posts: 206
Location: Bornem Belgium
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| Posted: Wed Nov 21, 2007 8:13 am Post subject: |
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There are also two ER's for digit <2> present in the grid.
1. ER <2> in Box 9 eliminates <2> in R7C2
2. ER <2> in Box 1 eliminates <2> in R3C9
Or using the strong link on <2> in R9, which pins <2> in R2C8, that
solves the puzzle in one step. |
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andras
Joined: 31 Oct 2007
Posts: 56
Location: Mid Wales
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| Posted: Wed Nov 21, 2007 9:35 am Post subject: |
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Hmmm - two xy-wings did it for me. 
John |
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Wed Nov 21, 2007 3:57 pm Post subject: |
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Actually I couldn't read Norm's grid - except for the singles - but I got more of those after the basics. But definitely can't see Johan's two ERs. Johan, you mention one Box for each ER - but you need 4 boxes for an ER - I just don't see any configurations on 2's that would provide any ERs. I've been wrong before though.
Did get 2 x-wings - as did Andras - but am struggling to finish off. This seems to be a hard one.
Last edited by cgordon on Wed Nov 21, 2007 6:49 pm; edited 1 time in total |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Wed Nov 21, 2007 4:03 pm Post subject: |
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| One XY-Wing pivoted in r9c6 did it for me. |
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Johan
Joined: 25 Jun 2007
Posts: 206
Location: Bornem Belgium
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| Posted: Wed Nov 21, 2007 6:17 pm Post subject: |
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| Quote: | | But definitely can't see Johan's two ERs. Johan, you mention one Box for each ER - but you need 4 boxes for an ER - I just don't see any configurations on 2's that would provide any ERs. I've been wrong before though. |
cg,
This is the ER in Box 9 for digit <2>, only using the <2>'s relevant for the ER.
* = strong link on <2> in R3
| Code: |
+-------+-------+-------+
| . . . | . . . | . . . |
| . . . | . . . | . . . |
| . *2. | . . . | . . *2|
+-------+-------+-------+
| . . . | . . . | . . . |
| . . . | . . . | . . . |
| . . . | . . . | . . . |
+-------+-------+-------+
| . -2 .| . . | . 2 . |
| . . . | . . . |er er 2|
| . . . | . . . |er er 2|
+-------+-------+-------+
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ER <2> in Box 1
* = strong link on <2> in R9
| Code: |
+-------+-------+-------+
| .er er| . . . | . . . |
|2 er er|.. . . | . . . |
| . 2 . | . . . | . . -2|
+-------+-------+-------+
| . . . | . . . | . . . |
| . . . | . . . | . . . |
| . . . | . . . | . . . |
+-------+-------+-------+
| . . | . . . | . . |
| . . . | . . . | . . |
|*2 . . | . . . | . . *2|
+-------+-------+-------+
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Wed Nov 21, 2007 6:48 pm Post subject: |
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Johan: After my basic eliminations I still had a pile of candidate 2's. My understanding of the ER technique is that the hinge and target must be opposite a row or column containing ONLY two candidates - in your case R3 and R9. Maybe you got further than me with your basic elininations. Or are we talking about the same application of an ER?
| Code: |
+-------+-------+-------+
| 2 . 2 | 2 . 2 | . . 2 |
| 2 . . | . . . | . 2 . |
| . 2 2 | . 2 . | . . 2 |
+-------+-------+-------+
| . . . | . . . | . . . |
| . 2 2 | 2 . 2 | . . . |
| . 2 . | 2 . . | . . . |
+-------+-------+-------+
| 2 2 2 | . 2 2 | . 2 . |
| . . 2 | 2 2 . | . . 2 |
| 2 . . | . . 2 | . . 2 |
+-------+-------+-------+
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Johan
Joined: 25 Jun 2007
Posts: 206
Location: Bornem Belgium
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| Posted: Wed Nov 21, 2007 7:18 pm Post subject: |
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| Quote: | | Maybe you got further than me with your basic elininations. |
cg,
This is my grid after basics :
| Code: |
+----------------+---------------+--------------+
| 3689 1 3689 | 238 5 238 | 7 4 69 |
| 29 4 5 | 6 7 1 | 8 29 3 |
| 7 26 38 | 4 38 9 | 16 5 126 |
+----------------+---------------+--------------+
| 689 3 689 | 178 4 78 | 2 179 5 |
| 5 279 289 | 12378 6 2378 | 134 179 1479 |
| 1 27 4 | 237 9 5 | 36 8 67 |
+----------------+---------------+--------------+
| 2369 269 12369 | 5 23 347 | 14 127 8 |
| 4 5 12 | 78 28 6 | 9 3 127 |
| 23 8 7 | 9 1 34 | 5 6 24 |
+----------------+---------------+--------------+
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duffy
Joined: 13 Sep 2007
Posts: 26
Location: Toronto Canada
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| Posted: Wed Nov 21, 2007 8:48 pm Post subject: |
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Lots of interesting observations based on the two grids shown (by storm_norm and Johan), which are the same. 
Marty probably found that the solution fell out easily after the 2 in r7c8 was eliminated by the xy-wing he spotted. I did not see that wing for myself, but used even a different step from those already noted: I removed the same 2 based on the skyscraper on 2's in r2 and r9. And a hint for cgordon: cut back on the 2's (to get to Johan's grid) by noting the naked triple / hidden pair that are shown in r3. 
Don D. |
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Wed Nov 21, 2007 8:55 pm Post subject: |
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Johan: I missed some basic <2> elimininations in Box 1 - but I probably still wouldn't have spotted the upside-down, turned-about L shaped hinge in Box 9. Well done!
As for the other one, I can't get rid of my 2 in R9C6. |
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duffy
Joined: 13 Sep 2007
Posts: 26
Location: Toronto Canada
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| Posted: Wed Nov 21, 2007 9:34 pm Post subject: |
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Hi cgordon,
My hint above leads to all '2' candidates in c5, being in box8: that will clear out the one you are interested in. 
Don. |
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DennyOR
Joined: 12 Sep 2007
Posts: 33
Location: Portland, Oregon
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| Posted: Fri Nov 23, 2007 6:08 am Post subject: |
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| From Johan's position, the XY chain 24-41-16-62 did it for me. |
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