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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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 Posted: Thu Nov 27, 2008 12:39 am Post subject: A different BUG |
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The end of today's Brain Bashers Super Hard has an interesting twist. I have not seen it before.
| Code: | Puzzle: BB112708sh
+-------+-------+-------+
| . . . | . 1 . | . . . |
| . . 9 | 2 . 4 | 8 . . |
| . 8 . | 7 3 6 | . 4 . |
+-------+-------+-------+
| . 4 7 | . . . | 5 1 . |
| 6 . 8 | . . . | 4 . 3 |
| . 3 1 | . . . | 6 8 . |
+-------+-------+-------+
| . 7 . | 3 9 8 | . 5 . |
| . . 3 | 5 . 1 | 7 . . |
| . . . | . 7 . | . . . |
+-------+-------+-------+ |
Even better, it has a pair which is both a W-wing and a complementary pair in an M-wing!
Keith |
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arkietech
Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
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| Posted: Thu Nov 27, 2008 12:55 am Post subject: |
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I just needed an x-wing to get to the BUG.
I eagerly await to see your wings.  |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Thu Nov 27, 2008 1:02 am Post subject: |
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I get to the interesting "not BUG" situation with two x-wings. then w-wing.
edit... upon further review, I maybe wrong about this not being a BUG, but I am not sure of the rules and what eliminations it makes.
Last edited by storm_norm on Thu Nov 27, 2008 2:15 am; 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: Thu Nov 27, 2008 1:35 am Post subject: |
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| I didn't notice what you noticed. I used an X-Wing and a W-Wing, the latter probably being part of the interesting twist. |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Thu Nov 27, 2008 2:17 am Post subject: |
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After basics and two X-wings, I get here:
| Code: | +----------------+----------------+----------------+
| 7 26 4 | 8 1 9 | 3 26 5 |
| 3 16 9 | 2 5 4 | 8 67 17 |
| 15 8 25 | 7 3 6 | 29 4 19 |
+----------------+----------------+----------------+
| 29 4 7 | 6 8 3 | 5 1 29 |
| 6 59 8 | 1 2 57 | 4 79 3 |
| 25 3 1 | 9 4 57 | 6 8 27 |
+----------------+----------------+----------------+
| 14 7 26 | 3 9 8 | 12 5 46 |
| 48 29 3 | 5 6 1 | 7 29 48 |
| 1589 15 56 | 4 7 2 | 19 3 68 |
+----------------+----------------+----------------+ |
This is a BUG+1, except the +1 cell has four candidates, which I have never seen before. To kill the BUG, R9C1 is <15>, which makes a pair in R9, which solves the puzzle.
Also, the <15> cells in R39 are a W-wing =5 in C3, and a complementary pair both =1 via R2C2.
W-wing: One, or both, are <1>; Complementary pair: They are both the same. Ergo, they are both <1>.
Or, you can complete the M-wing =5 in R3C13, to take out <5> in R9C3.
Nice ending!
Keith |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Thu Nov 27, 2008 3:15 am Post subject: |
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I took a couple of extra steps to get to the BUG condition, but completed the puzzle.
Of note, I saw a similar BUG several months ago and solved it and I meant to post a question to verify that I had resolved the situation correctly, but I got distracted (which is a problem with getting older and drinking to much wine) and forgot to do so. Anyway this puzzle verified I made the correct move.
Ted |
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