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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Mon Jul 25, 2011 3:47 pm Post subject: Puzzle 11/07/25: A XY |
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A tight-knit solution when restricted to XY steps.
| Code: | +-----------------------+
| . 3 . | 5 7 6 | . 9 . |
| 5 4 . | . . . | . 6 . |
| . . 9 | . . . | . 7 . |
|-------+-------+-------|
| 8 . . | 2 . 9 | . 3 . |
| 3 . . | . 6 7 | 9 8 . |
| 4 . . | 8 5 . | 7 2 . |
|-------+-------+-------|
| . . . | . 2 4 | 8 . . |
| 1 2 4 | 7 9 8 | . . 3 |
| . . . | . . . | . 4 7 |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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Luke451
Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California
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| Posted: Mon Jul 25, 2011 4:43 pm Post subject: |
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How about just XY-"ish?"
| Quote: | | aur(12)r23c69[(8=5)r23c9]-r5c9=(5-1)r5c2=(1-8)r3c2=(8)r1c3 =>r1c9<>8 |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Wed Jul 27, 2011 1:11 am Post subject: |
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Four steps for me.
Type 4 UR (12); r23c9<>1
Type 4 UR (16); r4c39<>1
Potential DP boxes 23, 38-12-13-28; common outcome; r23c6=12
M-Wing (15); r4c3, r5c9<>5 |
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tlanglet
Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
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| Posted: Wed Jul 27, 2011 1:30 pm Post subject: |
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Danny, I worked on a "A tight-knit solution when restricted to XY steps' type solution but had no luck. However, I did find the same one-stepper as posted by Luke but with a different POV.
(1)r46c3=(1-5)r5c2=r5c9-aur(12)r23c69[(5)r3c9=(8)r23c9]-r1c9=(8-1)r1c3; r1c3<>1
Ted |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Wed Jul 27, 2011 3:12 pm Post subject: |
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| tlanglet wrote: | I worked on a "tight-knit solution" when restricted to XY steps' type solution but had no luck.
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A 5-cell XY-Chain is present after basics. However, it doesn't proceed very far without the finned X-Wing. Together, they perform enough eliminations in r3c9 to expose the game-winning XY-Wing.
| Code: | after basics
+--------------------------------------------------------------+
| 2 3 18 | 5 7 6 | 14 9 148 |
| 5 4 7 | 9 38 12 | 13 6 128 |
| 6 18 9 | 34 348 12 | 135 7 1258 |
|--------------------+--------------------+--------------------|
| 8 7 156 | 2 14 9 | 145 3 1456 |
| 3 15 2 | 14 6 7 | 9 8 145 |
| 4 9 16 | 8 5 3 | 7 2 16 |
|--------------------+--------------------+--------------------|
| 7 56 35 | 36 2 4 | 8 1 9 |
| 1 2 4 | 7 9 8 | 6 5 3 |
| 9 68 38 | 136 13 5 | 2 4 7 |
+--------------------------------------------------------------+
# 41 eliminations remain
r16\c39 finned X-Wing <> 1 r23c9
XY-Chain: (8=3)r2c5 (=1)r2c7 (=2)r2c6 (=1)r3c6 (=8)r3c2 => r3c5<>8
<18+5> XY-Wing r3c2/r3c9+r5c2 <> 5 r5c9
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Note: a UR Type 4 is present ... but extraneous. |
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