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No Rating: Puzzle #46 (from new set)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sat Sep 13, 2008 4:55 am    Post subject: No Rating: Puzzle #46 (from new set) Reply with quote

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: 3182
Location: near Detroit, Michigan, USA

PostPosted: Sat Sep 13, 2008 1:06 pm    Post subject: Reply with quote

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: 5175
Location: Rochester, NY, USA

PostPosted: Sat Sep 13, 2008 9:20 pm    Post subject: Reply with quote

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: 2461
Location: Northern California Foothills

PostPosted: Sat Sep 13, 2008 9:56 pm    Post subject: Reply with quote

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: 5175
Location: Rochester, NY, USA

PostPosted: Sun Sep 14, 2008 12:30 am    Post subject: Reply with quote

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: 3855

PostPosted: Sun Sep 14, 2008 1:23 am    Post subject: Reply with quote

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: 3182
Location: near Detroit, Michigan, USA

PostPosted: Sun Sep 14, 2008 1:33 am    Post subject: Reply with quote

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

PostPosted: Mon Sep 15, 2008 8:20 am    Post subject: Reply with quote

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

PostPosted: Mon Sep 15, 2008 4:24 pm    Post subject: Reply with quote

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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