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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Sat Sep 13, 2008 4:55 am Post subject: No Rating: Puzzle #46 (from new set) |
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Well, it seems that alternate paths easily reduce my puzzles. Here's the last one.
| Code: | +-----------------------+
| . . . | . . . | . . 4 |
| . 4 . | 2 5 . | 8 7 1 |
| . . . | . . . | 3 . . |
|-------+-------+-------|
| . 8 . | . 2 . | 7 4 3 |
| . 5 . | 8 3 . | 6 . . |
| . . . | . . . | . . 8 |
|-------+-------+-------|
| . 6 7 | 3 4 . | . . . |
| . 3 . | 1 . . | . . 5 |
| 8 1 . | 6 . 5 | . 3 . |
+-----------------------+ # DAJ 46
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Sat Sep 13, 2008 1:06 pm Post subject: |
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Wow! Nice puzzle.
I'm going to try it again without the three UR's and a Bug+1.
Keith |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Sat Sep 13, 2008 9:20 pm Post subject: |
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| I just couldn't find the key to this one. After three URs, an X-, XY- and XYZ-Wing, I was still stuck. I used my Medusa crutch and it quickly trapped a candidate which finished it off. |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Sat Sep 13, 2008 9:56 pm Post subject: |
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| Marty R. wrote: | | I just couldn't find the key to this one. After three URs, an X-, XY- and XYZ-Wing, I was still stuck. I used my Medusa crutch and it quickly trapped a candidate which finished it off. |
Marty, I almost had your exact sequence but was able to achieve a BUG+1 situation to complete the puzzle. More specifically, I had a
Type 1 UR <24>
Type 3 UR <59>; x-wing <5>
Type 3 UR <78>; x-wing <8>
x-wing <9>
color on <9>; deleted r6c7
xy-wiing <679>; pivot r6c2
xyz-wing <369>; pivot r2c1
BUG+1; r6c6=7
Also, I recall a naked quad somewhere in the sequence.
I would not anticipate the single additional deletion by coloring to have been required but ...........
Ted |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Sun Sep 14, 2008 12:30 am Post subject: |
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| tlanglet wrote: | | Marty R. wrote: | | I just couldn't find the key to this one. After three URs, an X-, XY- and XYZ-Wing, I was still stuck. I used my Medusa crutch and it quickly trapped a candidate which finished it off. |
Marty, I almost had your exact sequence but was able to achieve a BUG+1 situation to complete the puzzle. More specifically, I had a
Type 1 UR <24>
Type 3 UR <59>; x-wing <5>
Type 3 UR <78>; x-wing <8>
x-wing <9>
color on <9>; deleted r6c7
xy-wiing <679>; pivot r6c2
xyz-wing <369>; pivot r2c1
BUG+1; r6c6=7
Also, I recall a naked quad somewhere in the sequence.
I would not anticipate the single additional deletion by coloring to have been required but ...........
Ted |
Ted, the 59 and 78 URs were Type 4 on my grid. I didn't do the coloring and my XY-Wing was on 794. I suppose it's possible I had a BUG and missed it, but I'm not doing it again. The first time I was near the end when I spotted a duplicate number in a house and had to erase everything and start over, something that happens too often and brings out some choice words. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Sun Sep 14, 2008 1:23 am Post subject: |
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| Code: | c7b9 Naked Pair <> 24 [r1c7]
r1 Naked Quad <> 2579 [r1c1356]
c1b1 Locked Candidate 1 <> 1 [r456c1]
c247 Swordfish (332) <> 9 [r1c8],[r3c168],[r6c1368] + concurrent
r248 Swordfish (332) <> 9 [r3c16],[r5c136],[r6c136]
c6b5 Locked Candidate 1 <> 1 [r13c6]
r6 Naked Quad <> 4679 [r6c13]
r5 b4 Locked Candidate 1 <> 4 [r5c6]
r4 b4 Locked Candidate 1 <> 6 [r4c6]
UR Type 1 [r89c37] <> 24 [r8c3]
XYZ-Wing [r2c1]/[r2c3]+[r4c1] <> 6 [r1c1]
r2 b1 Locked Candidate 1 <> 6 [r2c6]
c1 Hidden Pair = 69 [r24c1]
BUG+1 = 7 [r6c6]
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Sun Sep 14, 2008 1:33 am Post subject: |
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After basic basics: | Code: | +----------------------+----------------------+----------------------+
| 123679 279 58 | 79 1678 136789 | 59 259 4 |
| 369 4 369 | 2 5 369 | 8 7 1 |
| 1279 279 58 | 479 178 14789 | 3 259 6 |
+----------------------+----------------------+----------------------+
| 69 8 169 | 5 2 169 | 7 4 3 |
| 479 5 149 | 8 3 1479 | 6 19 2 |
| 234679 279 123469 | 479 167 14679 | 59 159 8 |
+----------------------+----------------------+----------------------+
| 5 6 7 | 3 4 2 | 1 8 9 |
| 249 3 249 | 1 78 78 | 24 6 5 |
| 8 1 24 | 6 9 5 | 24 3 7 |
+----------------------+----------------------+----------------------+ |
There is a quad in R1. If you go that route, there is then a swordfish on <9> in R248. Eventually, to here: | Code: | +-------------+-------------+-------------+
| 136 2 8 | 7 16 36 | 9 5 4 |
| 369 4 369 | 2 5 369 | 8 7 1 |
| 17 79 5 | 49 18 48 | 3 2 6 |
+-------------+-------------+-------------+
| 69 8 169 | 5 2 19 | 7 4 3 |
| 47 5 14 | 8 3 17 | 6 9 2 |
| 23 79 23 | 49 67 467 | 5 1 8 |
+-------------+-------------+-------------+
| 5 6 7 | 3 4 2 | 1 8 9 |
| 249 3 249 | 1 78 78 | 24 6 5 |
| 8 1 24 | 6 9 5 | 24 3 7 |
+-------------+-------------+-------------+ |
There are many chains, or a <24> Type 1 UR, leading to an XYZ-wing, and this BUG+1: | Code: | +-------------+-------------+-------------+
| 13 2 8 | 7 16 36 | 9 5 4 |
| 69 4 36 | 2 5 39 | 8 7 1 |
| 17 79 5 | 49 18 48 | 3 2 6 |
+-------------+-------------+-------------+
| 69 8 16 | 5 2 19 | 7 4 3 |
| 47 5 14 | 8 3 17 | 6 9 2 |
| 23 79 23 | 49 67 467 | 5 1 8 |
+-------------+-------------+-------------+
| 5 6 7 | 3 4 2 | 1 8 9 |
| 24 3 9 | 1 78 78 | 24 6 5 |
| 8 1 24 | 6 9 5 | 24 3 7 |
+-------------+-------------+-------------+ |
Keith |
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Mon Sep 15, 2008 8:20 am Post subject: |
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| If you apply the 24 UR first, then there is a 9 X-Wing (rather than the Swordfish). After that, the puzzle can be solved with one more step: The 178 XY-Wing in r3 and c5 with the <7> r3c1 transported to r6c2 eliminates <7> from r6c5. |
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Mon Sep 15, 2008 4:24 pm Post subject: |
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| It didn't work for me. I found the easy <24> UR - then the quad in R1 - a powerful x-wing on <9> - then a series of xy-wings <479> <679> <479> again - then an xyz <369>. I must have eradicated the UR's and other solutions cos they're not there - I swear. |
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