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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Thu Apr 28, 2011 9:22 pm Post subject: Puzzle 11/04/28: ~ (late) 4-cell XY-Chain |
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| Code: | +-----------------------+
| 9 . 6 | . 8 5 | 7 2 . |
| . . . | . . . | . . . |
| 4 . . | . . 2 | 8 . . |
|-------+-------+-------|
| . . . | 1 4 7 | 2 9 . |
| 5 . . | 9 . . | . . . |
| 7 . 9 | 6 . 3 | . 8 . |
|-------+-------+-------|
| 8 . 7 | 5 . . | 6 . . |
| 3 . . | 8 . 6 | . 7 . |
| . . . | . . . | . . . |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Fri Apr 29, 2011 5:57 pm Post subject: |
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Note: This is the last "Moderate" puzzle containing a 4-cell XY-Chain in my solver's solution. I've deleted the others from my puzzles remaining to be posted.
Regards, Danny |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Sat Apr 30, 2011 5:00 am Post subject: |
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No early or late four-cell chains for me.
M-Wing
XY-Loop
XYZ-Wing
Medusa |
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peterj
Joined: 26 Mar 2010
Posts: 974
Location: London, UK
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| Posted: Sat Apr 30, 2011 8:28 am Post subject: |
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I couldn't find one either! This was my path...
| Quote: | w-wing(14) (4=1)r6c9 - r1c9=r3c8 - (1=4)r7c8 ; r8c9<>4
xy-chain (1=3)r1c9 - (3=1)r1c2 - (1=4)r5c2 - (4=5)r8c2 - (5=4)r8c7 - (4=1)r7c8 ; r3c8<>1, r8c9<>1 |
I also tried playing the xyz-wing(49-1) but I still couldn't find a 4-cell xy-chain! So maybe they are not easy after all. |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Sat Apr 30, 2011 2:27 pm Post subject: |
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I found a one step AUR but not the "brass ring".
AUR(14)r68c79 external sis: r7c8=1,r8c2=4; r7c8=1
(4)r8c2-(4=1)r5c2-r13c2=r3c3-r3c8=(1)r7c8;
Ted |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Sat Apr 30, 2011 2:55 pm Post subject: |
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I guess it takes the righ combination of earlier steps to reach the 4-cell XY-Chain.
| Code: | <35+1> XYZ-Wing r3c3/r1c2+r3c8 <> 1 r3c2
<49+1> XYZ-Wing r8c9/r7c8+r8c5 <> 1 r8c7
c67 X-Wing <> 9 r2c59
r38 X-Wing <> 9 r2c59
r24c23 <38> UR Type 4.2243 <> 3 r2c23
r23c24 <37> UR Type 4.2243 <> 3 r23c2
+-----------------------------------------------------+
| 9 13 6 | 4 8 5 | 7 2 13 |
| 2 578 58 | 37 16 19 | 49 45 36 |
| 4 57 13 | 37 69 2 | 8 15 69 |
|-----------------+-----------------+-----------------|
| 6 38 38 | 1 4 7 | 2 9 5 |
| 5 14 14 | 9 2 8 | 3 6 7 |
| 7 2 9 | 6 5 3 | 1 8 4 |
|-----------------+-----------------+-----------------|
| 8 9 7 | 5 3 14 | 6 14 2 |
| 3 45 2 | 8 19 6 | 45 7 19 |
| 1 6 45 | 2 7 49 | 459 3 8 |
+-----------------------------------------------------+
# 31 eliminations remain
(5=8)r2c3 - (8=3)r4c3 - (3=1)r3c3 - (1=5)r3c8 => r2c8,r3c2<>5
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Of course, the BUG+2 => r2c3<>5 would probably be easier. |
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