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Set XY_03 Puzzle 035

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Aug 16, 2009 1:20 am    Post subject: Set XY_03 Puzzle 035 Reply with quote

After basics, my solver found two steps. I was able to find a workaround to prevent the second step from being an XY-Chain.

Code:
 +-----------------------+
 | 3 . 6 | 7 . . | . 5 . |
 | . 2 7 | . 1 6 | . . 3 |
 | 5 1 4 | 3 . . | . . 7 |
 |-------+-------+-------|
 | 4 . 1 | 6 . . | . 7 . |
 | . 7 . | . 9 . | . . . |
 | . 6 . | . . 7 | . . . |
 |-------+-------+-------|
 | . . . | . . . | . . 1 |
 | 6 . . | 2 . . | . . . |
 | . 8 9 | . . . | 2 . 6 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun Aug 16, 2009 3:34 am    Post subject: Reply with quote

Code:
.------------------.------------------.------------------.
| 3     9     6    | 7     248   248  | 1     5     28   |
| 8     2     7    | 5     1     6    | 49    49    3    |
| 5     1     4    | 3     28    9    | 68    26    7    |
:------------------+------------------+------------------:
| 4     35    1    | 6     235   23   | 89    7     89   |
| 2     7     358  | 18    9     34   | 3456  16    45   |
| 9     6     358  | 18    345   7    | 345   12    245  |
:------------------+------------------+------------------:
| 7     345   2    | 9     6     38   | 45    48    1    |
| 6     345   35   | 2     38    1    | 7     489   459  |
| 1     8     9    | 4     7     5    | 2     3     6    |
'------------------'------------------'------------------'

(8=9)r4c9 - (9)r4c7 = (9)r2c7 - (9=4)r2c8 - (4=8)r7c8 - (8)r7c6 = (8)r1c6; r1c1 <> 8

leaves a BUG+1 grid and places 3 in r8c2


Last edited by storm_norm on Tue Aug 18, 2009 5:55 am; edited 1 time in total
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tlanglet



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

PostPosted: Sun Aug 16, 2009 7:05 pm    Post subject: Reply with quote

Starting from Norm's grid, a finned x-wing on 3 in r47c26 brings you to:
Code:

 *--------------------------------------------------*
 | 3    9    6    | 7    4    28   | 1    5    28   |
 | 8    2    7    | 5    1    6    | 49   49   3    |
 | 5    1    4    | 3    28   9    | 68   26   7    |
 |----------------+----------------+----------------|
 | 4    35   1    | 6    235  23   | 89   7    89   |
 | 2    7    38   | 18   9    4    | 36   16   5    |
 | 9    6    358  | 18   35   7    | 34   12   24   |
 |----------------+----------------+----------------|
 | 7    34   2    | 9    6    38   | 5    48   1    |
 | 6    345  35   | 2    38   1    | 7    489  49   |
 | 1    8    9    | 4    7    5    | 2    3    6    |
 *--------------------------------------------------*

At this point, there is a BUG+4 condition that solves the puzzle.
r4c5=3, or
r6c3=3, or
r8c2=3, or
r8c8=4.

All four conditions imply r8c5=8.

Ted
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arkietech



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

PostPosted: Sun Aug 16, 2009 9:38 pm    Post subject: Reply with quote

I don't see r8c5=8 with r6c3=3? Can you help?
Code:
 *--------------------------------------------------*
 | 3    9    6    | 7    4    28   | 1    5    28   |
 | 8    2    7    | 5    1    6    | 49   49   3    |
 | 5    1    4    | 3    28   9    | 68   26   7    |
 |----------------+----------------+----------------|
 | 4    35   1    | 6    235  23   | 89   7    89   |
 | 2    7    38   | 18   9    4    | 36   16   5    |
 | 9    6    358  | 18   35   7    | 34   12   24   |
 |----------------+----------------+----------------|
 | 7    34   2    | 9    6    38   | 5    48   1    |
 | 6    345  35   | 2    38   1    | 7    489  49   |
 | 1    8    9    | 4    7    5    | 2    3    6    |
 *--------------------------------------------------*
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tlanglet



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

PostPosted: Mon Aug 17, 2009 12:00 am    Post subject: Reply with quote

arkietech wrote:
I don't see r8c5=8 with r6c3=3? Can you help?
Code:
 *--------------------------------------------------*
 | 3    9    6    | 7    4    28   | 1    5    28   |
 | 8    2    7    | 5    1    6    | 49   49   3    |
 | 5    1    4    | 3    28   9    | 68   26   7    |
 |----------------+----------------+----------------|
 | 4    35   1    | 6    235  23   | 89   7    89   |
 | 2    7    38   | 18   9    4    | 36   16   5    |
 | 9    6    358  | 18   35   7    | 34   12   24   |
 |----------------+----------------+----------------|
 | 7    34   2    | 9    6    38   | 5    48   1    |
 | 6    345  35   | 2    38   1    | 7    489  49   |
 | 1    8    9    | 4    7    5    | 2    3    6    |
 *--------------------------------------------------*

Dan, I did not initially see the the connection, but then "Jackpot"

(3)r6c3 - (3=4)r6c7 - (4)r6c9 = (4)r8c9 - (4=8)r7c8 - (8=3)r7c6 - (3=8)r8c5

Ted
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arkietech



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

PostPosted: Mon Aug 17, 2009 12:20 am    Post subject: Reply with quote

tlanglet wrote:
(3)r6c3 - (3=4)r6c7 - (4)r6c9 = (4)r8c9 - (4=8)r7c8 - (8=3)r7c6 - (3=8)r8c5

Works for me. Thanks Very Happy
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Aug 17, 2009 4:57 am    Post subject: Reply with quote

Finned X-Wing and BUG+4 were my results as well. Slightly different take on ...

Code:
 BUG+4
 [r4c5,r6c3,r8c2]=3                                      => [r4c2]=5
 [r8c8]=4 [r8c9]<>4 [r6c9]=4 [r6c7]=3 [r6c5]=5 [r6c3]<>5 => [r4c2]=5
 +-----------------------------------------------------+
 |  3    9    6    |  7    4    28   |  1    5    28   |
 |  8    2    7    |  5    1    6    |  49   49   3    |
 |  5    1    4    |  3    28   9    |  68   26   7    |
 |-----------------+-----------------+-----------------|
 |  4    35   1    |  6    25+3 23   |  89   7    89   |
 |  2    7    38   |  18   9    4    |  36   16   5    |
 |  9    6    58+3 |  18   35   7    |  34   12   24   |
 |-----------------+-----------------+-----------------|
 |  7    34   2    |  9    6    38   |  5    48   1    |
 |  6    45+3 35   |  2    38   1    |  7    89+4 49   |
 |  1    8    9    |  4    7    5    |  2    3    6    |
 +-----------------------------------------------------+
 # 34 eliminations remain
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Marty R.



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

PostPosted: Wed Aug 19, 2009 12:47 am    Post subject: Reply with quote

Quote:
Starting from Norm's grid, a finned x-wing on 3 in r47c26 brings you to:


Code:
*--------------------------------------------------*
 | 3    9    6    | 7    4    28   | 1    5    28   |
 | 8    2    7    | 5    1    6    | 49   49   3    |
 | 5    1    4    | 3    28   9    | 68   26   7    |
 |----------------+----------------+----------------|
 | 4    35   1    | 6    235  23   | 89   7    89   |
 | 2    7    38   | 18   9    4    | 36   16   5    |
 | 9    6    358  | 18   35   7    | 34   12   24   |
 |----------------+----------------+----------------|
 | 7    34   2    | 9    6    38   | 5    48   1    |
 | 6    345  35   | 2    38   1    | 7    489  49   |
 | 1    8    9    | 4    7    5    | 2    3    6    |
 *--------------------------------------------------*


An XY-Chain, as in the thing that Danny did a workaround to avoid, says that r7c2 or r8c9 must be=4, finishing the puzzle.
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strmckr



Joined: 18 Aug 2009
Posts: 64

PostPosted: Thu Aug 20, 2009 6:28 am    Post subject: Reply with quote

or how about after the finned xwing brings it to here:

Code:
.-------------.-------------.-------------.
| 3  9    6   | 7   4    8-2 | 1   5   28@|
| 8  2    7   | 5   1    6  | 49  49   3  |
| 5  1    4   | 3   28   9  | 68  26   7  |
:-------------+-------------+-------------:
| 4  35   1   | 6   235  23@| 89  7    89@|
| 2  7    38  | 18  9    4  | 36  16   5  |
| 9  6    358 | 18  35   7  | 34  12   24 |
:-------------+-------------+-------------:
| 7  34   2   | 9   6    38@| 5   48@  1  |
| 6  345  35  | 2   38   1  | 7   489  49@|
| 1  8    9   | 4   7    5  | 2   3    6  |
'-------------'-------------'-------------'


use:

Death Blossom: [r7c8], -4- r148c9 {2489}, -8- r47c6 {238} => r1c6<>2 {leaves all singles}

i guess it can be viewed as an xy chain as well Sad
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Aug 20, 2009 11:31 am    Post subject: Reply with quote

strmckr wrote:
Death Blossom: [r7c8], -4- r148c9 {2489}, -8- r47c6 {238} => r1c6<>2 {leaves all singles}

i guess it can be viewed as an xy chain as well Sad

Hello Chris and welcome to the forum.

Most of the users here are manual solvers and it's unlikely that more than a few would ever use Death Blossom in a solution.

For me, the challenge is to find puzzles/solutions that are solvable/understandable by most.

Regards, Danny

BTW: I "look it up"
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strmckr



Joined: 18 Aug 2009
Posts: 64

PostPosted: Thu Aug 20, 2009 12:43 pm    Post subject: Reply with quote

I'm a manual solver as well Smile

I usually use complex moves that few people know about...
as Im sure aware of from other sites...

{and i cant write chains correctly ever solvers help with that...}

for me a Death blossom was the simplest approach. {note: mike baker from players form created and named this years back}

2 almost locked sets.. intersection being the elimination.
or xy chain from the marked cells.....

but your correct few would ever use it Sad
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wapati



Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.

PostPosted: Thu Aug 20, 2009 3:42 pm    Post subject: Reply with quote

strmckr wrote:
for me a Death blossom was the simplest approach.


I looked at the referenced page and believe there is a typo.
Quote:
Reversing direction will help illuminate the Death Blossom idea since we start with green “stem” cell. G8 with {3/5} must be able to see at least two ALSs which contain all its candidates. It is important that the 3 in G9 can see all of the 3’s in the yellow

That should read "G9 with {3/5}", should it not? Shocked
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strmckr



Joined: 18 Aug 2009
Posts: 64

PostPosted: Thu Aug 20, 2009 8:25 pm    Post subject: Reply with quote

definitely a typo nice catch wapiti...

i'll leave a message for Stuart Andrews to correct it. (scanraid.com)
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