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Puzzle 10/07/17: BBDB Advanced

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat Jul 17, 2010 5:24 am    Post subject: Puzzle 10/07/17: BBDB Advanced Reply with quote

Code:
 +-----------------------+
 | . 7 . | . . 5 | . 6 8 |
 | 8 4 9 | . . . | . 5 1 |
 | . 6 5 | 1 4 8 | 7 . 2 |
 |-------+-------+-------|
 | . . 6 | . 5 . | . . . |
 | . . 7 | 2 8 . | . 1 4 |
 | 4 . 2 | . . . | 5 . . |
 |-------+-------+-------|
 | . . 8 | . . 1 | . . . |
 | 7 1 . | . 2 . | . . . |
 | 6 2 4 | . 9 . | . . 5 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site

Code:
 after basics
 +--------------------------------------------------------------+
 |  2     7     1     |  9     3     5     |  4     6     8     |
 |  8     4     9     |  67    67    2     |  3     5     1     |
 |  3     6     5     |  1     4     8     |  7     9     2     |
 |--------------------+--------------------+--------------------|
 |  1     389   6     |  347   5     3479  |  289   2378  379   |
 |  59    359   7     |  2     8     369   |  69    1     4     |
 |  4     389   2     |  367   1     3679  |  5     378   3679  |
 |--------------------+--------------------+--------------------|
 |  59    59    8     |  3467  67    1     |  26    2347  367   |
 |  7     1     3     |  5     2     46    |  689   48    69    |
 |  6     2     4     |  8     9     37    |  1     37    5     |
 +--------------------------------------------------------------+
 # 53 eliminations remain
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Sat Jul 17, 2010 8:01 pm    Post subject: Reply with quote

Pour commencer.....cinque étapes....toutes différentes

Quote:
1. UR[67] r7c4<>67
2.Finned X-Wing on 6s; r7c7<>6
3.XYZ Wing <367> vertex at r7c9; r7c8<>7
4.Colouring on 7s; r6c4<>7
5. XY-Wing <346> r56c6<>6


Last edited by Mogulmeister on Sat Jul 17, 2010 9:53 pm; edited 1 time in total
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tlanglet



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

PostPosted: Sat Jul 17, 2010 9:37 pm    Post subject: Reply with quote

I thought I had all afternoon, so I just grabbed the first thing that came along. It was 10 steps of assorted stuff which I did not recheck for typos since I was just advised that I did not have all afternoon free.

Type 1 UR (59r57c12; rrc2<>59, which opens us a

6-cell ADP (789)r46c298; outside box implications are r4c7=8, r4c7=9 or r5c7=9
(8)r4c7; r4c8<>8
(9)r4c7-(9=8)r4c2; r4c8<>8
(9)r5c7-(9=6)r5c6-(6=4)r8c6-(4=8)r8c8; r4c8<>8

ANP(89=2)r4c27-(2=6)r7c7-(6=9)r5c7; r4c9<>9

ANP(67=3)r7c59-(3=7)r9c8; r7c8<>7

Type 1 UR (67)r27c45; r7c4<>67

AXY-wing34-7 vertex (34)r7c4, pincers (47)r4c4 & (37)r9c6 with fin (3)r4c4
If xy-wing is true: r4c6<>7
If fin is true: (3)r4c4-(3=7)r4c9; r4c6<>7

xyz-wing (367)r7c9; r7c8<>7

xyz-wing (378)r6c8
(3)r6c8-(3=7)r4c9; r4c8<>7
(7)r6c8; r4c8<>7
(8)r6c8-(8=4)r8c8-(4=6)r8c6-(6=7)r7c5-r9c6=(7)r9c8; r4c8<>7

ANP(67=3)r7c59-(3=7)r9c8-r9c6=(7-6)r7c5=(6)r8c6-r5c6=(6)r5c7; r7c7<>6

Extended potential xy-wing vertex: (8=7)r6c8-(7=3)r4c9-(3=4)r4c6-r8c6=(4-8)r8c8=(8)r8c7; r4c7<>8

Ted
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Sat Jul 17, 2010 9:51 pm    Post subject: Reply with quote

Awesome ! I've only got half way through and will continue tomorrow...
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Marty R.



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

PostPosted: Sun Jul 18, 2010 1:08 am    Post subject: Reply with quote

Type 1 UR (59)
Finned X-Wing (6)
Type 1 UR (67)
XYZ-Wing (367)
M-Wing (37)
XY-Chain
XY-Wing (467)
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peterj



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

PostPosted: Sun Jul 18, 2010 11:25 am    Post subject: Reply with quote

First time through my moves were almost identical to mm - I think I did the ER(6) before the UR move. Otherwise the same.

Ted, that's a great a la carte menu of moves...!

In the interests of making Sunday morning more complicated before retiring for a well earned lunch here's a truly ugly 2+ steps solution..

Almost xy-chain with a fin that causes a contradiction...

Code:
xy-chain fin (7)r6c8
r6c8<>7: (3=7)r9c6 - (7=6)r7c5 - (6=4)r8c6 - (4=8)r8c8 - (8=3)r6c8; r9c8<>3

r6c8=7 : (7)r6c8 - (7=3)r9c8 - (3)r9c6*=(3-4)r7c4=(4-7)r4c4=*(7)r6c4 - (7)r6c8

* r9c6<>3=7 creates (7)r4c4=r6c4 by eliminating (7) in r46c6

So that's really two steps. a forcing chain and an xy-chain - though I found it when exploring the xy-chain. (I admit a significant T&E mindset at this point!! Sometimes 'what if' is fun too...)

Still need the type 1 UR(67) r7c4=4 later....
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Jul 18, 2010 12:04 pm    Post subject: Reply with quote

Peter: While examining your first step, ...

Code:
                         (4)r4c6 - (4=6)r8c6 - (6=7)r7c5
(7)r6c46 = hp(47)r4c46 |                                 | - r9c6 = (7)r9c8; r6c8<>7
                         (7)r4c6 .......................

... which exposes your XY-Chain.

(I realllllly need to get to bed and get some sleep!!!)
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