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Puzzle 10/06/10: (B) BBDB as VH+

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Jun 10, 2010 11:37 am    Post subject: Puzzle 10/06/10: (B) BBDB as VH+ Reply with quote

Code:
 +-----------------------+
 | 9 . . | . . . | 2 . . |
 | . 5 3 | . 4 . | 6 . 7 |
 | . 6 . | 9 . . | 3 4 . |
 |-------+-------+-------|
 | . . 7 | 4 . . | . 3 6 |
 | . 9 . | . 7 . | . . 4 |
 | . . . | . . 9 | . . . |
 |-------+-------+-------|
 | 6 7 8 | . . . | 4 . . |
 | . . 2 | 6 . . | . 8 9 |
 | . 4 . | 2 8 . | . 6 . |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site

Code:
 after basics
 +--------------------------------------------------------------+
 |  9     8     4     |  7     36    36    |  2     15    15    |
 |  2     5     3     |  18    4     18    |  6     9     7     |
 |  7     6     1     |  9     25    25    |  3     4     8     |
 |--------------------+--------------------+--------------------|
 |  18    12    7     |  4     125   1258  |  9     3     6     |
 |  138   9     56    |  138   7     1268  |  158   125   4     |
 |  4     123   56    |  138   126   9     |  158   7     125   |
 |--------------------+--------------------+--------------------|
 |  6     7     8     |  5     9     13    |  4     12    123   |
 |  5     13    2     |  6     13    4     |  7     8     9     |
 |  13    4     9     |  2     8     7     |  15    6     135   |
 +--------------------------------------------------------------+
 # 48 eliminations remain
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Thu Jun 10, 2010 5:10 pm    Post subject: Reply with quote

Two steps - with only a very short xy-chain!
Quote:
type 4 UR(25); r4c56<>2
xy-chain (2=6)r5c6-(6=3)r1c6-(3=1)r7c6-(1=2)r7c8; r5c8<>2
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Thu Jun 10, 2010 5:51 pm    Post subject: Reply with quote

This is not a VH+ step, but who can resist a big DP!
6-cell DP15 r159c789 forces r5c7=8, r5c8=2, or r9c9=3 to prevent the deadly pattern.
Code:
(8)r5c7 - ANP(18=3)r45c1 -  (3=1)r9c1
(2)r5c8 - (2=1)r7c8 - r9c79 = (1)r9c1
(3)r9c9 -                   (3=1)r9c1

Thus r9c1=1 to complete the puzzle.

However, I am still redoing the puzzle following Danny's guideline of VH+ techniques only and will post my solution later.

Ted
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jun 10, 2010 6:06 pm    Post subject: Reply with quote

One ugly non VH step:

Making use of the strong links on 6s 3s & 2s to create a nasty chain

(12-6)r6c5=r1c5-(6=3)r1c6-r7c6=(3-2)r7c9=r6c9-r5c8=(2-6)r5c6=(6)r6c5 ;

so r6c5=6

If time allows I too will try again...have to look at Ted's extravaganza first !
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Thu Jun 10, 2010 6:21 pm    Post subject: Reply with quote

I found this a very difficult puzzle using VH+ steps only.

Quote:
Type 3 UR25 r34c45: r4c2<>1
skyscraper 1 r8c25; r4c1, r6c4<>1
Kraken x-wing 1 r17c89 with Kraken fin (1)r7c6 - r8c5 = r8c2 - r6c2 = (1)r5c1: r5c8<>1
xy-wing 12-5; r6c7<>5
BUG+1 forces r7c9=1

Ted
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Thu Jun 10, 2010 8:30 pm    Post subject: Reply with quote

Ah! So now I understand the 'BBDB as VH+' designation! I'll have a go too.

Personally I don't think a simple (non-pair, no-almost, not too long) xy-chain is an "advanced" move - but I am happy to stick with the rules. And to be fair Danny does all the work!
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Thu Jun 10, 2010 8:57 pm    Post subject: Reply with quote

My VH+solution is same as Ted's - but only seemed to need a Finned X-Wing not the Kraken variety...

Quote:
type 4 UR(25); r4c56<>2
skyscraper(1); r4c1<>1
finned x-wing(1) r59c17 fin r6c7; r5c8<>1
xy-wing(125) r7c8; r6c7<>5
BUG+1; r7c9=1
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Thu Jun 10, 2010 9:24 pm    Post subject: Reply with quote

tlanglet wrote:
This is not a VH+ step, but who can resist a big DP!
6-cell DP15 r159c789 forces r5c7=8, r5c8=2, or r9c9=3 to prevent the deadly pattern.
Code:
(8)r5c7 - ANP(18=3)r45c1 -  (3=1)r9c1
(2)r5c8 - (2=1)r7c8 - r9c79 = (1)r9c1
(3)r9c9 -                   (3=1)r9c1

Thus r9c1=1 to complete the puzzle.

I can't resist 'em either, esp if they solve the puzzle!

Still, I don't understand the "ANP" part.
Code:
 +--------------------------------------------------------------+
 |  9     8     4     |  7     36    36    |  2     15    15    |
 |  2     5     3     |  18    4     18    |  6     9     7     |
 |  7     6     1     |  9     25    25    |  3     4     8     |
 |--------------------+--------------------+--------------------|
 |  18    12    7     |  4     125   1258  |  9     3     6     |
 |  138   9     56    |  138   7     1268  |  158   125   4     |
 |  4     123   56    |  138   126   9     |  158   7     125   |
 |--------------------+--------------------+--------------------|
 |  6     7     8     |  5     9     13    |  4     12    123   |
 |  5     13    2     |  6     13    4     |  7     8     9     |
 |  13    4     9     |  2     8     7     |  15    6     135   |
 +--------------------------------------------------------------+ 

All I can see is (8)r5c7-(8=13)r59c1, which doesn't lead to (1)r9c1.

How does the ANP thing work here? Maybe my problem is I don't see ANPs, but ALSs.

Edit typo


Last edited by Luke451 on Fri Jun 11, 2010 2:08 pm; edited 1 time in total
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Jun 10, 2010 10:17 pm    Post subject: Reply with quote

Luke451 wrote:
tlanglet wrote:
This is not a VH+ step, but who can resist a big DP!
6-cell DP15 r159c789 forces r5c7=8, r5c8=2, or r9c9=3 to prevent the deadly pattern.
Code:
(8)r5c7 - ANP(18=3)r45c1 -  (3=1)r9c1
(2)r5c8 - (2=1)r7c8 - r9c79 = (1)r9c1
(3)r9c9 -                   (3=1)r9c1

Thus r9c1=1 to complete the puzzle.

I can't resist 'em either, esp if they solve the puzzle!

Still, I don't understand the "ANP" part.

I believe the use of the ANP() is incorrect. All r5c7=8 does is the elimination r5c1<>8. This still leaves r4c1=8 and r5c1=1 as possible, thus countering the ANP() claim.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Thu Jun 10, 2010 10:41 pm    Post subject: Reply with quote

I (thought?) I saw this ANP(18=3)r45c1 move on Eureka but never fully understood it; my thinking was the same as Danny's comment. This is the first time I used it, hoping more "informed" folks would speak up if it was incorrect. Thanks Luke and Danny.

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Jun 10, 2010 10:56 pm    Post subject: Reply with quote

This puzzle should be rated: BBDB as Advanced !!!

BTW: How about?

(8)r5c7 - r6c7 = (8)r6c4 - ANP(18=3)r25c4 - (3=18)r45c1 - (1)r9c1 ___ Wrong!!!


Last edited by daj95376 on Fri Jun 11, 2010 2:30 pm; edited 1 time in total
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Thu Jun 10, 2010 11:34 pm    Post subject: Reply with quote

daj95376 wrote:

(8)r5c7 - r6c7 = (8)r6c4 - ANP(18=3)r25c4 - (3=18)r45c1 - (1)r9c1


Danny, I was just going to look into an alternate step for r5c7=8 since I posted an invalid step previously. Your solution is beautiful!

Ted
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ronk



Joined: 07 May 2006
Posts: 398

PostPosted: Fri Jun 11, 2010 1:43 am    Post subject: Reply with quote

daj95376 wrote:
BTW: How about?

(8)r5c7 - r6c7 = (8)r6c4 - ANP(18=3)r25c4 - (3=18)r45c1 - (1)r9c1

How does an AIC with weak inferences on both ends work?

BTW: No ANP, but how about ...

(3)r7c9 - (3)r7c6 = (3-6)r1c6 = (6-2)r5c6 = (2)r5c8 - (2)r7c8 = (2)r7c9 --> r7c9<>3

BTW2: My "AN[PTQ]" in an earlier post was meant to be taken as a joke. Sad
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Jun 11, 2010 2:03 am    Post subject: Reply with quote

ronk wrote:
daj95376 wrote:
BTW: How about?

(8)r5c7 - r6c7 = (8)r6c4 - ANP(18=3)r25c4 - (3=18)r45c1 - (1)r9c1

How does an AIC with weak inferences on both ends work?

Ted's post was based on a DP where one of three conditions must be true. He then searched for a common elimination for all three conditions being true. Unfortunately, he had a mistake in the condition r5c7=8. I provided a replacement chain/stream that contained the desired common elimination.

Yes, your chain does a nice job of cracking the puzzle!
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Fri Jun 11, 2010 2:12 pm    Post subject: Reply with quote

daj95376 wrote:
This puzzle should be rated: BBDB as Advanced !!!

BTW: How about?

(8)r5c7 - r6c7 = (8)r6c4 - ANP(18=3)r25c4 - (3=18)r45c1 - (1)r9c1

Isn't Ted trying to prove r9c1=(1)?
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Jun 11, 2010 2:29 pm    Post subject: Reply with quote

Luke451 wrote:
Isn't Ted trying to prove r9c1=(1)?

Embarassed _ Embarassed _ Embarassed _ Embarassed _ Embarassed _ Embarassed _

Thanks Luke!!! Another instance where my eyes crossed!!!

So, that chain/stream is still unfulfilled.
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Marty R.



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

PostPosted: Sat Jun 12, 2010 5:05 am    Post subject: Reply with quote

UR (25) with 18 pseudo cell sets r4c2=2
XYZ-Wing (158)
M-Wing (18), slightly convoluted
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