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Puzzle 11/05/21: ~ XY

dailysudoku.com Forum Index -> Puzzles by daj

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daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sat May 21, 2011 11:15 pm Post subject: Puzzle 11/05/21: ~ XY

Hint wrote:

search for URs first among advanced techniques! .

Code:

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

Play this puzzle online at the Daily Sudoku site

peterj

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

Posted: Sun May 22, 2011 10:58 am Post subject:

Two steps...

Quote:

xy-wing(36-4)r7c2 ; r7c1<>4
general remotepair(23) r7c1, r1c8 ; r7c8<>23

I looked at the hint...

Quote:

But I didn't spot anything much - except after the xy-wing there was an overlapping UR(34), UR(38) which made r8c9<>8.
I often miss these UR moves...

daj95376

Joined: 23 Aug 2008
Posts: 3854

Posted: Sun May 22, 2011 5:02 pm Post subject:

Peter's general Remote Pair definitely works better than my hint:

Code:

XY-Wing <36+4> => r7c1<>4 (step: 1)

<34> UR Type 6 => r3c8,r7c9<>3 (step: 2) grid below

2-String Kite r1c1 => r7c8<>3 (step: 3)

BUG+1 => r8c8= 2 (step: 4)
+---------------------------------------------------------------+
| 5 39 6 | 4 7 89 | 28 23 1 |
| 4 2 8 | 6 1 3 | 9 5 7 |
| 39 7 1 | 2 5 89 | 6 *34 *34+8 |
|--------------------+--------------------+---------------------|
| 8 4 3 | 7 9 6 | 5 1 2 |
| 6 1 7 | 5 2 4 | 3 8 9 |
| 29 59 25 | 8 3 1 | 4 7 6 |
|--------------------+--------------------+---------------------|
| 23 36 9 | 1 8 5 | 7 *34+26 *34 |
| 1 356 25 | 9 4 7 | 28 236 38 |
| 7 8 4 | 3 6 2 | 1 9 5 |
+---------------------------------------------------------------+
# 25 eliminations remain

Nice catch Peter!

peterj

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

Posted: Mon May 23, 2011 2:44 pm Post subject:

Just for the record, the MUG I found after the xy-wing for a two-step was ...

Code:

*------------------------------------------------------------*
| 5 39 6 | 4 7 89 | 28 23 1 |
| 4 2 8 | 6 1 3 | 9 5 7 |
| 39 7 1 | 2 5 89 | 6 *34 *34+8 |
|-------------------+-------------------+--------------------|
| 8 4 3 | 7 9 6 | 5 1 2 |
| 6 1 7 | 5 2 4 | 3 8 9 |
| 29 59 25 | 8 3 1 | 4 7 6 |
|-------------------+-------------------+--------------------|
| 23 *36 9 | 1 8 5 | 7 *346+2 *34 |
| 1 *36+5 25 | 9 4 7 | 28 *36+2 3-8 |
| 7 8 4 | 3 6 2 | 1 9 5 |
*------------------------------------------------------------*

I think the MUG is formed from a UR(34) and UR(36) overlapping at r7c8

Code:

MUG(346) ; r8c9<>8
(5)r8c2 - (5=2)r8c3 - (2=8)r8c7
||
(8)r3c9
||
(2)r78c8 - (2=8)r8c7

Marty R.

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

Posted: Tue May 24, 2011 4:59 am Post subject:

I took four steps. XY-Wing (364) Type 6 UR (34) Skyscraper (3) BUG+1

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