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Not quite so fiendish

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keith

Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

Posted: Sat Apr 07, 2012 5:43 pm Post subject: Not quite so fiendish

A Vanhegan.

Code:

Puzzle: vH5-373293f2.2.1.1
+-------+-------+-------+
| 8 . . | . . . | . 5 9 |
| 4 1 2 | . . 9 | 3 7 . |
| . 5 . | 3 . . | . 2 . |
+-------+-------+-------+
| . 4 . | 9 . 2 | 8 . . |
| . . . | . 1 . | . . . |
| . . 9 | 4 . 5 | . 1 . |
+-------+-------+-------+
| . 2 . | . . 3 | . 9 . |
| . 9 4 | 6 . . | 7 8 2 |
| 1 7 . | . . . | . . 3 |
+-------+-------+-------+

Keith

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sat Apr 07, 2012 6:26 pm Post subject:

I look forward to your solution!

keith

Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

Posted: Sat Apr 07, 2012 7:01 pm Post subject:

daj95376 wrote:

I look forward to your solution!

After basics:

Code:

+----------------+----------------+----------------+
| 8 36 367 | 1 2 467 | 46 5 9 |
| 4 1 2 | 5 B68 9 | 3 7 b68 |
| 9 5 67 | 3 4678 4678 | 146 2 1468 |
+----------------+----------------+----------------+
| 567 4 1 | 9 a367 2 | 8 36 567 |
| 2 3-68 35-6 | 78 1 A678 | 9 346 45-67 |
|c67 38 9 | 4 38 5 | 2 1 C67 |
+----------------+----------------+----------------+
| 56 2 568 | 78 478 3 | 1456 9 146 |
| 3 9 4 | 6 5 1 | 7 8 2 |
| 1 7 568 | 2 9 48 | 456 46 3 |
+----------------+----------------+----------------+

Coloring on 6: Ab and Ac are pincers on 6. (A tri-tower skyscraper!)

(Edit: For extra credit, identify the quad-tower that make one more not very useful elimination.)

Then, a Type 4 UR 16 takes out a couple of 6s, and an XY-wing 4-68 kills a couple more. Getting to here:

Code:

+-------------+-------------+-------------+
| 8 6 3 | 1 2 7 | 4 5 9 |
| 4 1 2 | 5 6-8 9 | 3 7 68 |
| 9 5 7 | 3 46+8 48 | 16 2 18 |
+-------------+-------------+-------------+
| 67 4 1 | 9 37 2 | 8 36 5 |
| 2 38 5 | 78 1 6 | 9 34 47 |
| 67 38 9 | 4 3-8 5 | 2 1 67 |
+-------------+-------------+-------------+
| 5 2 68 | 78 47+8 3 | 16 9 14 |
| 3 9 4 | 6 5 1 | 7 8 2 |
| 1 7 68 | 2 9 48 | 5 46 3 |
+-------------+-------------+-------------+

Bug+2: R37C5 are pincers on 8.

Not the tools I use every day! Wink

Keith

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sat Apr 07, 2012 10:10 pm Post subject:

keith wrote:

(Edit: For extra credit, identify the quad-tower that make one more not very useful elimination.)

Well, if I'm allowed to "remember" the eliminations in r5c23, then r4c1 becomes C and we have Ca in [r4] for r4c89<>6. Exposing a Naked Single, r4c8=3. Leaving a Swordfish and an XY-Wing to crack the puzzle.

keith

Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

Posted: Sat Apr 07, 2012 11:17 pm Post subject:

daj95376 wrote:

keith wrote:

(Edit: For extra credit, identify the quad-tower that make one more not very useful elimination.)

I was thinking of dD, so Ad are pincers on 6 in R1C6:

Code:

+----------------+----------------+----------------+
| 8 d36 367 | 1 2 4-67 | 46 5 9 |
| 4 1 2 | 5 B68 9 | 3 7 b68 |
| 9 5 67 | 3 4678 4678 | 146 2 1468 |
+----------------+----------------+----------------+
| 567 4 1 | 9 a367 2 | 8 36 567 |
| 2 D3-68 35-6 | 78 1 A678 | 9 346 45-67 |
|c67 38 9 | 4 38 5 | 2 1 C67 |
+----------------+----------------+----------------+
| 56 2 568 | 78 478 3 | 1456 9 146 |
| 3 9 4 | 6 5 1 | 7 8 2 |
| 1 7 568 | 2 9 48 | 456 46 3 |
+----------------+----------------+----------------+

Keith

keith

Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

Posted: Sat Apr 07, 2012 11:23 pm Post subject:

daj95376 wrote:

keith wrote:

(Edit: For extra credit, identify the quad-tower that make one more not very useful elimination.)

Danny,

I don't think this is correct. I don't think aC are pincers.

Keith

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sun Apr 08, 2012 1:29 am Post subject:

keith wrote:

Danny,

I don't think this is correct. I don't think aC are pincers.

You are correct!

I've been deep into playing with Exocet logic and just came up for air long enough to take a quick look at this grid. I messed up on tracking SIs and just used the color difference for my conclusion. Mea Culpa!!!

Regards, Danny

Marty R.

Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

Posted: Sun Apr 08, 2012 3:40 am Post subject:

Skyscraper (6), r26, with transport; r1c6<>6, with another transport; r5c2<>6 XY-Wing (486), pivot r9c6; r5c8<>6, plus transport; r3c6<>6 Five-cell XY-Chain from r9c6 to r5c4; r7c4<>8, played as an alternative to the UR

SudoQ

Joined: 02 Aug 2011
Posts: 127

Posted: Sun Apr 08, 2012 7:03 am Post subject:

A two step solution:

Code:

r2c5=6 -> r5c6=6 ->
r2c9=6 -> r6c1=6 -> r5c23<>6

|------------|--------------|--------------|
| 8 6 3 | 1 2 7 | 4 5 9 |
| 4 1 2 | 5 68 9 | 3 7 68 |
| 9 5 7 | 3 468 468 | 16 2 168 |
|------------|--------------|--------------|
| 67 4 1 | 9 367 2 | 8 36 5 |
| 2 38 5 | 78 1 68 | 9 346 467 |
| 67 38 9 | 4 38 5 | 2 1 67 |
|------------|--------------|--------------|
| 5 2 68 | 78 478 3 | 16 9 146 |
| 3 9 4 | 6 5 1 | 7 8 2 |
| 1 7 68 | 2 9 48 | 5 46 3 |
|------------|--------------|--------------|

r7c4=7 -> r5c4<>7 -> r5c9=7
r7c5=7 -> r7c9=4 -> r5c9<>4

It is also possible to show that

Code:

r9c8=4 -> r1<>7

/SudoQ

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