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Krampus Edition - "XY Chain" #1

 
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Wed Dec 08, 2010 6:10 pm    Post subject: Krampus Edition - "XY Chain" #1 Reply with quote
Code:
 *-----------*
 |3..|...|.2.|
 |84.|3..|9.6|
 |...|6.2|..1|
 |---+---+---|
 |2.6|...|...|
 |..9|5.1|6..|
 |...|...|2.3|
 |---+---+---|
 |5..|8.4|...|
 |9.4|..7|.68|
 |.2.|...|..4|
 *-----------*
Code:
300000020840300906000602001206000000009501600000000203500804000904007068020000004

(c) Helmut Saueregger
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Thu Dec 09, 2010 5:19 am    Post subject: Reply with quote
Code:

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

Play this puzzle online at the Daily Sudoku site

XY-Wing (458), flightless with transport; r4c5<>8; additional transport; r1c5<>8.

XY-Loop; r3c7, r6c5<>4

XY-Chain; r3c8<>4
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Thu Dec 09, 2010 9:14 am    Post subject: Reply with quote
My initital investigation was around the URs in shute 2.
Code:
UR(47)r14c45
(89)r1c45 forms NP with (89)r1c6 = (4)r1c7 ; r3c8<>4
(8)r4c5 - (8=4)r3c5 ; r3c8<>4
(3)r4c5 - (3)r8c5=r8c7 - (3=5)r9c8 - (5=4)r6c8 ; r3c8<>4


Then I realised I was beeing stupid! (The clue was in the title)
Code:
xy-chain ; (4=8)r1c7 -(8=9)r1c6 - (9=3)r9c6 - (3=5)r9c8 - (5=4)r6c8 ; r3c8<>4, r4c7<>4
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