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Set XY_01 Puzzle 14

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sun Mar 22, 2009 5:35 pm Post subject: Set XY_01 Puzzle 14

Code:

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

Play this puzzle online at the Daily Sudoku site

Code:

c6 Naked Pair <> 39 [r35c6]

c16 X-Wing <> 7 [r3c35],[r5c3]
r16 X-Wing <> 7 [r3c35],[r5c3]

c5 Naked Triple <> 359 [r126c5]
r6 Naked Pair <> 17 [r6c24]

XY-Wing [r2c1]/[r2c6]+[r3c3] <> 9 [r2c2],[r3c45]

Empty Rectangle c6b4 <> 3 [r2c2]

Empty Rectangle c5b1 <> 5 [r4c2]

r2 Naked Pair <> 18 [r2c4]

XYZ-Wing [r1c2]/[r1c4]+[r2c2] <> 1 [r1c3]

c2b1 Locked Candidate 1 <> 1 [r5c2]

W-Wing: 3/9 in r4c6,r9c4 connected by 9 in r2c46 => r6c4<>3
+--------------------------------------------------------------+
| 2 158 78 | 15 178 6 | 4 9 3 |
| 34 18 6 | 349 18 39 | 5 2 7 |
| 3457 359 49 | 2345 35 27 | 6 1 8 |
|--------------------+--------------------+--------------------|
| 345 389 489 | 6 359 39 | 2 7 1 |
| 57 259 19 | 1259 4 27 | 8 3 6 |
| 6 23 17 | 23 17 8 | 9 5 4 |
|--------------------+--------------------+--------------------|
| 1 6 5 | 7 2 4 | 3 8 9 |
| 9 7 3 | 8 6 5 | 1 4 2 |
| 8 4 2 | 39 39 1 | 7 6 5 |
+--------------------------------------------------------------+
# 46 eliminations remain

Last edited by daj95376 on Sat Apr 11, 2009 1:06 am; edited 1 time in total

wapati

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

Posted: Mon Mar 23, 2009 12:04 am Post subject:

I managed this with finned-x-wings and xy wings. The oddest part I found was a wxyz-wing, which I suspect is an als as well. Fun puzzle!

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Mon Mar 23, 2009 2:34 am Post subject:

wapati wrote:

I managed this with finned-x-wings and xy wings.
The oddest part I found was a wxyz-wing, which I suspect is an als as well.

Fun puzzle!

wapati: Would you please do me a favor and post your solution. I can't duplicate it. Thanks!

wapati

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

Posted: Mon Mar 23, 2009 5:08 am Post subject:

There are two x-wings on 7s here, pick one. Smile

Code:

.---------------------.---------------------.---------------------.
| 2 158 178 | 15 1578 6 | 4 9 3 |
| 34 1389 6 | 1349 1389 39 | 5 2 7 |
|#3457 359 49-7 | 23459 359-7 #27 | 6 1 8 |
:---------------------+---------------------+---------------------:
| 345 3589 489 | 6 359 39 | 2 7 1 |
|#57 1259 19-7 | 1259 4 #27 | 8 3 6 |
| 6 123 17 | 123 137 8 | 9 5 4 |
:---------------------+---------------------+---------------------:
| 1 6 5 | 7 2 4 | 3 8 9 |
| 9 7 3 | 8 6 5 | 1 4 2 |
| 8 4 2 | 39 39 1 | 7 6 5 |
'---------------------'---------------------'---------------------'

xy-wing to set up the wxyz-wing.

Code:

.---------------------.---------------------.---------------------.
| 2 158 178 | 15 178 6 | 4 9 3 |
|#34 138-9 6 | 1349 18 #39 | 5 2 7 |
| 3457 359 #49 | 2345-9 35-9 27 | 6 1 8 |
:---------------------+---------------------+---------------------:
| 345 3589 489 | 6 359 39 | 2 7 1 |
| 57 1259 19 | 1259 4 27 | 8 3 6 |
| 6 23 17 | 23 17 8 | 9 5 4 |
:---------------------+---------------------+---------------------:
| 1 6 5 | 7 2 4 | 3 8 9 |
| 9 7 3 | 8 6 5 | 1 4 2 |
| 8 4 2 | 39 39 1 | 7 6 5 |
'---------------------'---------------------'---------------------'

I'm pretty sure that this is an ALS and a chain as well as a WXYZ-wing,
call it as you see it.

Code:

.-------------------.------------------.------------------.
| 2 158 178 | 15 178 6 | 4 9 3 |
|#34 138 6 | 1349 18 39 | 5 2 7 |
| 457-3 #359 #49 | 2345 #35 27 | 6 1 8 |
:-------------------+------------------+------------------:
| 345 3589 489 | 6 359 39 | 2 7 1 |
| 57 1259 19 | 1259 4 27 | 8 3 6 |
| 6 23 17 | 23 17 8 | 9 5 4 |
:-------------------+------------------+------------------:
| 1 6 5 | 7 2 4 | 3 8 9 |
| 9 7 3 | 8 6 5 | 1 4 2 |
| 8 4 2 | 39 39 1 | 7 6 5 |
'-------------------'------------------'------------------'

Then there is an x-wing on 3s and an xy-wing to finish.
First time through I did un-needed finned x-wing on 3s and 5s and 2 xyz-wings,
I think, also.

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Tue Mar 24, 2009 7:37 am Post subject:

Code:

.---------------------.---------------------.---------------------.
| 2 158 178 | 15 1578 6 | 4 9 3 |
| 34 1389 6 | 1349 1389 39 | 5 2 7 |
| 3457 359 479 | 23459 3579 27 | 6 1 8 |
:---------------------+---------------------+---------------------:
| 345 3589 489 | 6 359 39 | 2 7 1 |
| 57 1259 179 | 1259 4 27 | 8 3 6 |
| 6 123 17 | 123 137 8 | 9 5 4 |
:---------------------+---------------------+---------------------:
| 1 6 5 | 7 2 4 | 3 8 9 |
| 9 7 3 | 8 6 5 | 1 4 2 |
| 8 4 2 | 39 39 1 | 7 6 5 |
'---------------------'---------------------'---------------------'

how about this for a first move?
(2)r6c4 = (2-3)r6c2 = (3)r4c12 - (3)r4c6 = (3)r2c6 - (3=4)r2c1 - (4)r2c4 = (4)r3c4; r3c4 <> 2
and this for a second move
(4=3)r4c1 - (3)r4c6 = (3)r2c6 - (3=9)r3c5 - (9=4)r3c3; r4c3 <> 4
Smile

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Tue Mar 24, 2009 10:19 am Post subject:

storm_norm wrote:

how about this for a first move?
(2)r6c4 = (2-3)r6c2 = (3)r4c12 - (3)r4c6 = (3)r2c6 - (3=4)r2c1 - (4)r2c4 = (4)r3c4; r3c4 <> 2

You must have had fun tracking down that this (grouped) elimination!!!

storm_norm

Joined: 18 Oct 2007
Posts: 1741

Posted: Tue Mar 24, 2009 5:42 pm Post subject:

quite fun

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