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AU Tough September 1, 2012

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arkietech

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

Posted: Sun Sep 02, 2012 8:00 am Post subject: AU Tough September 1, 2012

Code:

*-----------*
|4..|...|...|
|...|..3|.86|
|...|..5|13.|
|---+---+---|
|82.|7..|...|
|6..|.2.|..3|
|...|..9|.58|
|---+---+---|
|.14|9..|...|
|96.|1..|...|
|...|...|..7|
*-----------*

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SudoQ

Joined: 02 Aug 2011
Posts: 127

Posted: Sun Sep 02, 2012 2:30 pm Post subject:

r9c4=r4c5 (r789c6<>35) /SudoQ

arkietech

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

Posted: Sun Sep 02, 2012 6:04 pm Post subject:

Code:

*-----------------------------------------------------------------------------*
| 4 35789 135689 | 68 16789 1678 | 57 27 29 |
| 15 579 159 | 2 1479 3 | 457 8 6 |
| 2 789 689 | 468 46789 5 | 1 3 49 |
|-------------------------+-------------------------+-------------------------|
| 8 2 35 | 7 b35 4 | 6 9 1 |
| 6 59 159 | 58 2 18 | 47 47 3 |
| 137 4 137 | 36 136 9 | 2 5 8 |
|-------------------------+-------------------------+-------------------------|
| 357 1 4 | 9 a3578 c278 | 38 6 25 |
| 9 6 23578 | 1 a3578 c278 | 38 24 245 |
| 35 358 2358 | 3456-8 46-358 6-28 | 9 1 7 |
*-----------------------------------------------------------------------------*
Sue de Coq
{3578}r78c5,{35}r4c5,{278}r78c6 => -358r9c5, -28r9c456; stte

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Marty R.

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

Posted: Mon Sep 03, 2012 3:30 pm Post subject:

I struggled with a W-Wing, two M-Wings and two uses of the 68 DP in boxes 12.

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Mon Sep 03, 2012 4:53 pm Post subject:

Code:

after basics: cells r4c5, r5c4, and r6c4 dominate several solutions
+--------------------------------------------------------------------------------+
| 4 35789 135689 | 68 16789 1678 | 57 27 29 |
| 15 579 159 | 2 1479 3 | 457 8 6 |
| 2 789 689 | 468 46789 5 | 1 3 49 |
|--------------------------+--------------------------+--------------------------|
| 8 2 35 | 7 35 4 | 6 9 1 |
| 6 59 159 | 58 2 18 | 47 47 3 |
| 137 4 137 | 36 136 9 | 2 5 8 |
|--------------------------+--------------------------+--------------------------|
| 357 1 4 | 9 3578 278 | 38 6 25 |
| 9 6 23578 | 1 3578 278 | 38 24 245 |
| 35 358 2358 | 34568 34568 268 | 9 1 7 |
+--------------------------------------------------------------------------------+
# 95 eliminations remain

XY-Loop (6=8)r1c4 - (8=5)r5c4 - (5=3)r4c5 - (3=6)r6c4 - loop => r39c4<>68, r6c5<>3

M-Ring C (3=5)r4c5 - r5c4 = (5-3)r9c4 = (3)r6c4 - loop => r9c4<>468, r6c5<>3

S-Wing (3)r9c4 = r6c4 - (3=5)r4c5 - r5c4 = (5)r9c4 => r9c4<>468, r6c5<>3

tlanglet

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

Posted: Tue Sep 04, 2012 12:09 pm Post subject:

arkietech wrote:

Code:

Play/Print this puzzle online

Great move............ Cool

Ted

tlanglet

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

Posted: Tue Sep 04, 2012 12:11 pm Post subject:

SudoQ wrote:

r9c4=r4c5 (r789c6<>35)

/SudoQ

I do not understand this step.

Ted

SudoQ

Joined: 02 Aug 2011
Posts: 127

Posted: Tue Sep 04, 2012 2:52 pm Post subject:

tlanglet wrote:

I do not understand this step.

I think that it is an M-Ring, similar to the one daj showed.

Code:

|--------------------|--------------------|--------------|
| 4 35789 135689 | 68 16789 1678 | 57 27 29 |
| 15 579 159 | 2 1479 3 | 457 8 6 |
| 2 789 689 | 468 46789 5 | 1 3 49 |
|--------------------|--------------------|--------------|
| 8 2 35 | 7 (35) 4 | 6 9 1 |
| 6 59 159 | 58 2 18 | 47 47 3 |
| 137 4 137 | 36 136 9 | 2 5 8 |
|--------------------|--------------------|--------------|
| 357 1 4 | 9 78 /35 278 | 38 6 25 |
| 9 6 23578 | 1 78 /35 278 | 38 24 245 |
| 35 358 2358 | 35-468 468/35 268 | 9 1 7 |
|--------------------|--------------------|--------------|

if r4c5=5 then r9c4=5
if r4c5=3 then r9c4=3
(r9c4=r4c5)
=> r9c4<>468

/SudoQ

tlanglet

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

Posted: Tue Sep 04, 2012 6:05 pm Post subject:

SudoQ wrote:

tlanglet wrote:

I do not understand this step.

I think that it is an M-Ring, similar to the one daj showed.

Code:

if r4c5=5 then r9c4=5
if r4c5=3 then r9c4=3
(r9c4=r4c5)
=> r9c4<>468

/SudoQ

I saw that r9c4<>468 in your original post but did not understand nor agree with the original deletions that r789c6<>35.

That was a nice spot.

Ted

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