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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Sun Oct 26, 2008 6:24 pm Post subject: No XY/XYZ-Wings: Set A Puzzle 1 |
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I've only had moderate success generating puzzles for the forum. It seemed that every time I went beyond XY/XYZ-Wings then the puzzles weren't suitable. Then, a recent discussion about how an XY-Wing was too easy to solve a puzzle resulted in other techniques being used to find the solution.
I went back and generated a number of puzzles that could be solved using XY/XYZ-Wings. Then I checked them hoping to find some that could/might be solved with other techniques. See what you think about this puzzle!
BTW: no cheating and substituting 3-cell XY-Chains for XY-Wings 
| Code: | +-----------------------+
| . . . | . . 2 | . . . |
| . . . | 9 . . | 4 5 8 |
| . . . | 4 . . | . . . |
|-------+-------+-------|
| . 9 4 | 6 3 . | . 8 . |
| . . . | 5 4 . | . 3 . |
| 5 . . | . . 8 | . . 4 |
|-------+-------+-------|
| . 3 . | . . . | 2 6 . |
| . 6 . | 2 5 . | 7 4 . |
| . 5 . | . . 6 | . . . |
+-----------------------+
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nataraj
Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
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| Posted: Sun Oct 26, 2008 7:06 pm Post subject: |
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A puzzle that can be solved without xy-wing. Just my cup of tea!
After basics, kite (7) row 6 and col 6: r2c2<>6
Then ... (you guessed, right?)
| Code: |
+--------------------------+--------------------------+--------------------------+
| 13689 4 5 | 138 168 2 | 39 7 16 |
| 12367 12 167 | 9 167 137# | 4 5 8 |
| 136789 178 16789 | 4 1678 5 | 39 2 16 |
+--------------------------+--------------------------+--------------------------+
| 127 9 4 | 6 3 17* | 5 8 27 |
| 2678 278 678 | 5 4 9 | 1 3 27 |
| 5 17 3 | 1-7 2 8 | 6 9 4 |
+--------------------------+--------------------------+--------------------------+
| 179 3 179 | 18 189 4 | 2 6 5 |
| 189 6 189 | 2 5 13# | 7 4 39 |
| 4 5 2 | 37* 79 6 | 8 1 39 |
+--------------------------+--------------------------+--------------------------+
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Using the strong link (3) in col 6, r9c4 and r4c6 work together:
if r9c4=3 then r2c6=3 then r4c6=7 and 7 in r6c4 is toast!
...singles after that.
Nice one!! |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Sun Oct 26, 2008 7:41 pm Post subject: |
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| Quote: | | BTW: no cheating and substituting 3-cell XY-Chains for XY-Wings |
We meet at dawn! I will slap you with my extended wing!
Keith |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Sun Oct 26, 2008 8:56 pm Post subject: |
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| nataraj: Now try to solve it without using the XY-Wing cells. |
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Sun Oct 26, 2008 11:15 pm Post subject: |
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Two steps:
[1] Using the 16 UR in r13c59:
(8)r1c4|r7c2 - UR[(8)r13c5=(7)r3c5] - (7)r2c6=(7)r4c6 - (7=1)r6c4 - (1=8)r7c4 - (8)r1c4|r7c2; r1c4|r7c2<>8
This opens up a...
[2] 13 W-Wing, c46: r2c6|r9c4<>3 |
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