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ravel
Joined: 21 Apr 2006 Posts: 536
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Posted: Mon Nov 03, 2008 2:04 pm Post subject: Susume's jellyfish trick |
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In the thread A Pure Jellyfish Collection on the Players forum susume noticed (some posts down), that in puzzles, where 16 numbers are given in a 4x4 jellyfish pattern, it can be easy to find a jellyfish without pencilmarks.
Since the pattern of the current game (0058) of the Patterns Game has this property, you can find new examples there, e.g.
Code: | +-------+-------+-------+
| . . 5 | . . . | 8 . . |
| . 1 . | 4 . 5 | . 6 . |
| 7 . . | . . . | . . 1 |
+-------+-------+-------+
| . 5 . | 9 . 6 | . 2 . |
| . . . | . . . | . . . |
| . 6 . | 1 . 2 | . 4 . |
+-------+-------+-------+
| 4 . . | . . . | . . 9 |
| . 2 . | 6 . 9 | . 1 . |
| . . 1 | . . . | 3 . . |
+-------+-------+-------+ Tarek |
There are givens in r2468c2468, but 378 is missing there.
With the 3 in r9c7 for these columns 2468 only rows 1357 remain, which can have a 3. So there must be a jellyfish (or something simpler) there for number 3. (The same holds for rows 2468, where 3 is restricted to columns 1359, giving the same eliminations)
Similar for 7 and 8.
This means, that the cells marked x cannot have 378.
Code: | +-------+-------+-------+
| x . 5 | . x . | 8 . x |
| . 1 . | 4 . 5 | . 6 . |
| 7 . x | . x . | x . 1 |
+-------+-------+-------+
| x 5 x | 9 x 6 | x 2 x |
| . . . | . . . | . . . |
| x 6 x | 1 x 2 | x 4 x |
+-------+-------+-------+
| 4 . x | . x . | x . 9 |
| . 2 . | 6 . 9 | . 1 . |
| x . 1 | . x . | 3 . x |
+-------+-------+-------+ |
Then in r7c3 6 remains as a naked single and the puzzle is solved.
In the same way this puzzle can be solved (here the jellyfish leave a naked pair):
Code: | +-------+-------+-------+
| . . 1 | . . . | 2 . . |
| . 3 . | 4 . 5 | . 6 . |
| 6 . . | . . . | . . 4 |
+-------+-------+-------+
| . 5 . | 6 . 2 | . 7 . |
| . . . | . . . | . . . |
| . 2 . | 7 . 3 | . 4 . |
+-------+-------+-------+
| 8 . . | . . . | . . 9 |
| . 6 . | 2 . 7 | . 3 . |
| . . 3 | . . . | 6 . . |
+-------+-------+-------+ JPF |
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