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Puzzle 10/04/10 ___ Chain

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat Apr 10, 2010 10:54 am    Post subject: Puzzle 10/04/10 ___ Chain Reply with quote

For those who like a chain after basics ... plus non-chain step(s).

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

Play this puzzle online at the Daily Sudoku site
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tlanglet



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

PostPosted: Sun Apr 11, 2010 1:02 pm    Post subject: Reply with quote

Danny, I worked on this puzzle twice and never found an easy solution; it was a BBDBer for me. I used a x-wing, xy-wing, xyz-wing, skyscraper and more immediately after basics and then some simple chains followed by some messy chains. I will try it again in the future.

Ted
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peterj



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

PostPosted: Sun Apr 11, 2010 1:38 pm    Post subject: Reply with quote

I have had three goes at it now with similar results! Confused

After an x-wing and a skyscraper I have assorted chains - a W-wing on 21 or xy-chain, some useful strong links on 2 and a veritable converyor belt of 6s. I can delete a couple of 2s but nothing get's me very far. I think there's an xyz-wing in box8 also.

Going to give it one more go when the sun stops shining!
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Apr 11, 2010 1:51 pm    Post subject: Reply with quote

The "Chain" puzzles are meant to be extremely difficult compared to finding productive chains in my everyday puzzles. Even after you find the chain in this puzzle, more steps follow.

Four of the eight most productive chains start from one cell.

Starting Cell wrote:
r9c5
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Sun Apr 11, 2010 3:45 pm    Post subject: Reply with quote

Good one Danny!
Code:
 *--------------------------------------------------------------------*
 | 7      8      4      | 16     5      3      | 12     9      126    |
 | 3      9      16     | 8      7      2      | 5      16     4      |
 | 126    12     5      | 4      169    19     | 7      3      8      |
 |----------------------+----------------------+----------------------|
 | 124    7      8      | 3      12     5      | 6      124    9      |
 | 12569  125    1269   | 7      4      89     | 3      1258   125    |
 | 45     3      129    | 12     89     6      | 128    45     7      |
 |----------------------+----------------------+----------------------|
 | 125    6      3      | 9      128    18     | 4      7      125    |
 | 8      125    7      | 126    3      4      | 9      1256   1256   |
 | 129    4      129    | 5      126    7      | 128    1268   3      |
 *--------------------------------------------------------------------*
(1=9)r3c6-(9=8)r5c6-r5c8=(8-6)r9c8=r9c5-r3c5=r3c1-(6=1)r2c3; r3c12<>1
skyscraper 5
x-wing 2
remote pair 12 r4c8<>1
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peterj



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

PostPosted: Sun Apr 11, 2010 5:22 pm    Post subject: Reply with quote

Easy (?) when you are told where to look!!
A total of three steps - the chain and two more "chainy" moves

Quote:
(6)r9c5=(6-8)r9c8=r5c8-(8=9)r5c6-(9=1)r3c6-(1=6)r1c4; r3c5<>6, r8c4<>6
Colour wrap(5); r5c28<>5, r7c1<>5, r8c8<>5
xy-chain: (2=4)r4c1-(4=1)r4c8-(1=2)r8c8-(2=1)r8c4-(1=2)r6c4; r4c5<>2


I clearly need more "chain" puzzles to practise on! Thanks Dan
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Apr 11, 2010 6:35 pm    Post subject: Reply with quote

arkietech wrote:
(1=9)r3c6-(9=8)r5c6-r5c8=(8-6)r9c8=r9c5-r3c5=r3c1-(6=1)r2c3; r3c12<>1

Congratulations Dan on finding a productive chain w/o using my hint.
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Marty R.



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

PostPosted: Mon Apr 12, 2010 12:18 am    Post subject: Reply with quote

I used coloring (5), XYZ (128), X-Wing (6) and W-Wing (12) after which I hit the brick wall. Had to use my Medusa crutch to put me out of my misery.
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Mon Apr 12, 2010 8:19 am    Post subject: Reply with quote

Not as elegant as Dan's chain which acted as pincers on 1s. Mine acts to show a contradiction:


1.There is a contradiction if you put a 6 in r9c8

(6-8)r9c8=(8)r5c8-(8=9)r5c6-r3c6=(9-6)r3c5=(6)r9c5 so r9c8 <> 6

2 (Colouring) Kite on 5s

3 (Colouring) Skyscraper on 1s

Done
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