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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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 Posted: Sun Nov 23, 2008 6:43 pm Post subject: Incredible |
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Today's Brain Basher Super Hard is incredible. | Code: | Puzzle: BB112308sh
+-------+-------+-------+
| . 4 . | 1 . 3 | . 9 . |
| 1 . . | . . . | . . 6 |
| . . 5 | . 4 . | 7 . . |
+-------+-------+-------+
| 3 . . | 4 . 6 | . . 9 |
| . . 6 | . . . | 5 . . |
| 2 . . | 5 . 7 | . . 1 |
+-------+-------+-------+
| . . 9 | . 7 . | 6 . . |
| 5 . . | . . . | . . 7 |
| . 2 . | 3 . 9 | . 4 . |
+-------+-------+-------+ |
It can be done by this site's "Very Hard" methods. I doubt that anything more sophisticated is going to be of much help.
Keith |
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Sun Nov 23, 2008 8:03 pm Post subject: |
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| I knocked that off very quickly with just a couple of x-wings. |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Sun Nov 23, 2008 9:49 pm Post subject: |
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| cgordon wrote: | | I knocked that off very quickly with just a couple of x-wings. |
Really? 
I did it first purely with pencil & paper. The X-wings started to show before I was done with the basics.
It took me at least six X-wings, plus an XY-wing with coloring.
I have since looked at it some more: I can solve this with five X-wings and one XY-wing. Can anyone do better?
By the way, I do not recall ever seeing a puzzle with this many X-wings. When I looked at the pattern of initial values, I thought "X-wing". But, I did not expect this many!
Keith |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Sun Nov 23, 2008 11:14 pm Post subject: |
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Using my typical scattershot approach, I made 8 moves, only one of which was an X-Wing, which is logical since I don't look for them until other methods have been exhausted.
One X-Wing
Two W-Wings
One M-Wing
One XYZ-Wing
One kite
Two XY-Wings, both with pincer transport |
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Sun Nov 23, 2008 11:33 pm Post subject: |
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| You seem to be implying I got lucky when I did my quick knock off. I'll give it another go. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Mon Nov 24, 2008 1:40 am Post subject: |
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After basics, this puzzle has seven X-Wings present. However, six of them are really three pair of complementary X-Wings. If you find the lone X-Wing first, then you can proceed without ever encountering the other six. However, you will probably encounter another X-Wing later.
| Code: | r58 X-Wing <> 2 [r37c4]
c68 X-Wing <> 5 [r2c5],[r7c9]
r19 X-Wing <> 5 [r2c5],[r7c9]
c24 X-Wing <> 6 [r3c1]
r19 X-Wing <> 6 [r3c1]
c14 X-Wing <> 9 [r3c2]
r26 X-Wing <> 9 [r3c2]
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Beyond basics, I think 3x X-Wings -- (2), (5), and (6) above -- and an XY-Wing will solve the puzzle.
[Edit: Darn, I wish that I could learn to count!]
Last edited by daj95376 on Mon Nov 24, 2008 7:32 am; edited 1 time in total |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Mon Nov 24, 2008 5:03 am Post subject: |
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After basics: | Code: | +----------------+----------------+----------------+
| 678 4 278 | 1 2568 3 | 28 9 258 |
| 1 389 238 | 7 2589 258 | 4 35 6 |
| 689 3689 5 | 2689 4 28 | 7 1 238 |
+----------------+----------------+----------------+
| 3 5 1 | 4 28 6 | 28 7 9 |
| 89 7 6 | 289 3 1 | 5 28 4 |
| 2 89 4 | 5 89 7 | 3 6 1 |
+----------------+----------------+----------------+
| 4 1 9 | 28 7 258 | 6 35 2358 |
| 5 368 38 | 268 1 4 | 9 28 7 |
| 678 2 78 | 3 568 9 | 1 4 58 |
+----------------+----------------+----------------+ |
(I had already used X-wings to simplify <1> and <7>.)
There are X-wings on:
<2> in R58; revealing
<2> in R37;
<5> in R19;
<6> in R19;
<9> in r26.
None of these are complementary. If you make all these eliminations, after further basics, you get here:
| Code: | +-------------+-------------+-------------+
| 67 4 27 | 1 56 3 | 28 9 58 |
| 1 389 238 | 7 29 58 | 4 35 6 |
| 89 368 5 | 69 4 28 | 7 1 23 |
+-------------+-------------+-------------+
| 3 5 1 | 4 28 6 | 28 7 9 |
| 89 7 6 | 29 3 1 | 5 28 4 |
| 2 89 4 | 5 89 7 | 3 6 1 |
+-------------+-------------+-------------+
| 4 1 9 | 8 7 25 | 6 35 23 |
| 5 368 38 | 26 1 4 | 9 28 7 |
| 67 2 78 | 3 56 9 | 1 4 58 |
+-------------+-------------+-------------+ |
An XY-wing <289> solves it.
If you follow Nataraj' suggestion, to diagram first the numbers with the most solved, you will leave <2> and <8> for last.
If you can solve this with two X-wings and an XY-wing, meet me here, at King's Brewery. The lager's on me!
Keith |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Mon Nov 24, 2008 7:34 am Post subject: |
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| I corrected my post. |
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cgordon
Joined: 04 May 2007
Posts: 769
Location: ontario, canada
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| Posted: Mon Nov 24, 2008 12:47 pm Post subject: |
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| Quote: | | If you can solve this with two X-wings and an XY-wing, meet me here, at King's Brewery. The lager's on me! |
If you are into Pubs and Pub Crawls, I sincerely hope you have gone to England. If not, I recommend a month or two in London - then try the villages (my favourite is Histon, nr. Cambridge where my father lived). Just don't bother coming up here - north of the border. |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Mon Nov 24, 2008 2:32 pm Post subject: |
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I originally solved the puzzle yesterday before it was posted and had a total of seven steps, including five x-wings. Today, after finding this tread, the best I could achieve was the five x-wings plus a xy-wing289.
Ted |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Mon Nov 24, 2008 8:18 pm Post subject: |
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| Code: | .------------------.------------------.------------------.
| 678 4 278 | 1 2568 3 | 28 9 258 |
| 1 389 238 | 7 2589 258 | 4 35 6 |
| 689 3689 5 | 2689 4 28 | 7 1 238 |
:------------------+------------------+------------------:
| 3 5 1 | 4 28 6 | 28 7 9 |
| 89 7 6 | 289 3 1 | 5 28 4 |
| 2 89 4 | 5 89 7 | 3 6 1 |
:------------------+------------------+------------------:
| 4 1 9 | 28 7 258 | 6 35 2358 |
| 5 368 38 | 268 1 4 | 9 28 7 |
| 678 2 78 | 3 568 9 | 1 4 58 |
'------------------'------------------'------------------' |
two chains attack r8c2 solving the puzzle.
small chain
xy-chain: (8=9)r6c2 - (9=8)r5c1 - (8=2)r5c8 - (2=8)r8c8; r8c2 <> 8
big chain
(3)r8c3 = (3)r2c3 - (3)r2c8 = (3-5)r7c8 = (5)r79c9 - (5)r1c9 = (5-6)r1c5 = (6)r9c5 - (6)r9c1 = (6)r8c3; r8c3 <> 3
both are present after basics. |
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