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daj95376
Joined: 23 Aug 2008
Posts: 3854
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 Posted: Tue Nov 01, 2011 6:27 pm Post subject: UR+SL: Mike Barker's UR+3C/2SL |
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My previous posts (obviously) used 1x SL for one UR value. There are other UR patterns that use 1x SL, but I'm not going to post them because I feel they are too complicated (for me) to ever spot. This is the first post using 2x SLs for one UR value.
===== ===== ===== ===== Mike Barker's UR+3C/2SL
| Code: | 2x SL in [c3] and [r2] for 1x value (aka Hidden Unique Rectangle)
+--------------+
| . . . |
| 12X . 1Y-2 |< SL on <1>
| . . . |
+--------------+
| . . . |
| 12 . 12Z |
| . . . |
+--------------+
^ SL on <1>
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Puzzle from Mike Barker's "zoo" collection:
| Code: | ..2.9......46.7....9...43..7.8.....9.4..2.8...5..3.1.....5.......6..89.........37
+-----------------------------------------------------+
| 5 6 2 | 1 9 3 | 7 4 8 |
| 3 1 4 | 6 8 7 | 5 9 2 |
| 8 9 7 | 2 5 4 | 3 16 16 |
|-----------------+-----------------+-----------------|
| 7 3 8 | 4 1 5 | 26 26 9 |
| 6 4 1 | 7 2 9 | 8 5 3 |
| 2 5 9 | 8 3 6 | 1 7 4 |
|-----------------+-----------------+-----------------|
| 9 27 3 | 5 *46+7 12 | *46+2 8 16 | < SL on <4>
| 14 27 6 | 3 47 8 | 9 12 5 |
| 14 8 5 | 9 *46 12 | *46+2 3 7 |
+-----------------------------------------------------+
# 20 eliminations remain ^ SL on <4>
r79c57 <46> UR via s-link <> 6 r7c7
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Ironically, even though the puzzle is practically solved, this elimination does not crack the puzzle. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Tue Nov 01, 2011 11:03 pm Post subject: |
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I was all prepared to post this pattern separately, but RonK was kind enough to inform me that it was essentially equivalent to the above pattern because the implied X-Wing pattern would force an SL in [c3] if it didn't already exist. Ron was also kind enough to provide me with an example puzzle.
===== ===== ===== ===== Mike Barker's UR+3E/2SL
| Code: | 2x SL in [r2] and [r5] for 1x value (essentially equivalent to UR+3C/2SL)
+--------------+
| . . . |
| 12X . 1Y-2 |< SL on <1>
| . . . |
+--------------+
| . . . |
| 12 . 12Z |< SL on <1>
| . . . |
+--------------+
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Puzzle from Ron's collection: (Ron's analysis included)
| Code: | .6..2...3...........3...4.5...8..7.2.1...4...8..23..9..4...3.5.78......19...8.2..
*-----------------------------------------------------------------------------*
| 45 6 789 | 14579 2 15789 | 189 178 3 |
| 45 279 789 | 3 145679 156789 | 1689 12678 6789 |
| 1 279 3 | 679 679 6789 | 4 2678 5 |
|-------------------------+-------------------------+-------------------------|
| 36 59 469 | 8 1569 1569 | 7 1346 2 |
|*236 1 *2679 | 5679 5679 4 | 3568 368 68 |< SL on <2>
| 8 57 467 | 2 3 1567 | 156 9 46 |
|-------------------------+-------------------------+-------------------------|
|*26 4 *126 | 1679 1679 3 | 689 5 6789 |< SL on <2>
| 7 8 56 | 4569 4569 2 | 369 346 1 |
| 9 3 156 | 14567 8 1567 | 2 467 467 |
*-----------------------------------------------------------------------------*
____________________________________________________________________________________________
UR(26)r57c13 with SLs on <2> in r5 & r7 (or c1 & c3) for r5c3<>6
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