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Toughie!

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wapati

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

Posted: Mon Sep 21, 2009 11:22 pm Post subject: Toughie!

This doesn't want to get easy for me and my final step is funny, in that because of remote pairs there are many paths, some pretty long!

Code:

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

tlanglet

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

Posted: Tue Sep 22, 2009 1:21 am Post subject:

Basics:

Code:

*-----------------------------------------------------------*
| 7 8 1236 | 256 9 25 | 45 135 345 |
| 5 9 4 | 8 1 3 | 2 7 6 |
| 126 16 1236 | 2456 7 245 | 9 135 8 |
|-------------------+-------------------+-------------------|
| 129 4 129 | 3 8 125 | 15 6 7 |
| 126 3 5 | 1247 46 1247 | 14 8 9 |
| 8 7 16 | 145 456 9 | 3 2 45 |
|-------------------+-------------------+-------------------|
| 19 2 7 | 145 345 8 | 6 359 35 |
| 3 5 8 | 9 2 6 | 7 4 1 |
| 4 16 169 | 157 35 157 | 8 359 2 |
*-----------------------------------------------------------*

w-wing 16 in r3c2 & r6c3 and strong link on 6 in row9,
ER1 with hinge in box8 and strong link in row6,
xyz-wing 456 in r6c5 to delete 4 in r6c4,
xy-wing -145 with vertex 45 in r6c9,
xy-wing 12-5 with vertex 12 in r4c6 to delete 5 from r13c4 plus transporting the pincer at r1c6 to r7c9 via r1c9 makes additional deletion,
xyz-wing 157 in r9c4 completes the puzzle.

Ted

Marty R.

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

Posted: Tue Sep 22, 2009 3:51 am Post subject:

Quote:

I had Ted's first four moves plus a second ER on 1. My 5th move was an XY-Wing on 691, after which I hit a brick wall and had to Medusa my way home. Unfortunately, I missed the 125 XY-Wing and 157 XYZ-Wing.

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Tue Sep 22, 2009 10:12 am Post subject:

Code:

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

Code:

XYZ-Wing [r6c5]/[r5c5]+[r6c9] <> 4 r6c4

XY-Wing [r6c9]/[r5c7]+[r6c4] <> 1 r5c46

r67c4 Skyscraper <> 1 r45c1,r9c3

XY-Wing [r4c6]/[r1c6]+[r6c4] <> 5 r13c4

XYZ-Wing [r9c4]/[r6c4]+[r9c6] <> 1 r7c4

c1b5 Empty Rectangle <> 2 r3c6

Code:

I need a chain at this point
+-----------------------------------------------------+
| 7 8 236 | 26 9 25 | 4 1 35 |
| 5 9 4 | 8 1 3 | 2 7 6 |
| 26 1 236 | 246 7 45 | 9 35 8 |
|-----------------+-----------------+-----------------|
| 9 4 12 | 3 8 12 | 5 6 7 |
| 26 3 5 | 247 46 247 | 1 8 9 |
| 8 7 16 | 15 56 9 | 3 2 4 |
|-----------------+-----------------+-----------------|
| 1 2 7 | 45 345 8 | 6 9 35 |
| 3 5 8 | 9 2 6 | 7 4 1 |
| 4 6 9 | 17 35 17 | 8 35 2 |
+-----------------------------------------------------+
# 31 eliminations remain

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