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"Times" super fiendish #1981 June 26,2008

 
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Sun Aug 10, 2008 8:36 am    Post subject: "Times" super fiendish #1981 June 26,2008 Reply with quote

Code:

+-----------+-----------+-----------+
|  3  1  .  |  5  .  .  |  .  7  .  |
|  .  .  7  |  .  .  .  |  .  3  .  |
|  .  4  .  |  .  .  8  |  5  .  .  |
+-----------+-----------+-----------+
|  .  9  2  |  .  5  1  |  .  .  .  |
|  .  .  .  |  .  2  .  |  .  .  .  |
|  .  .  .  |  9  3  .  |  8  2  .  |
+-----------+-----------+-----------+
|  .  .  1  |  7  .  .  |  .  8  .  |
|  .  6  .  |  .  .  .  |  2  .  .  |
|  .  2  .  |  .  .  5  |  .  1  7  |
+-----------+-----------+-----------+


play online

All sorts of skyscraper, kites, even swordfish ....

And also another example of a w-wing plus complementary/equivalent pair:

Code:

+--------------------------+--------------------------+--------------------------+
| 3       1       8        | 5       46      469      | 469     7       2        |
| 69*     5       7        | 2       1       469      | 469     3       8        |
| 2       4       69c      | 3       7       8        | 5       69*     1        |
+--------------------------+--------------------------+--------------------------+
| 46w     9       2        | 8       5       1        | 7       46w     3        |
| 456     8       3        | 46      2       7        | 1       4569    4569     |
| 1       7       456      | 9       3       46       | 8       2       456      |
+--------------------------+--------------------------+--------------------------+
| 459     3       1        | 7       49      2        | 69      8       4569     |
| 7       6       459      | 1       8       3        | 2       459     459      |
| 8       2       49       | 46      469     5        | 3       1       7        |
+--------------------------+--------------------------+--------------------------+


69 in r2c1 is connected to 69 in r3c8 in 2 ways:
1) 69 in r3c3 (marked c) means r2c1 and r3c8 will always have the same solution
2) the strong link (6) in row 4 (marked w) means at least one of r2c1 and r3c8 are 9

1 and 2 together solve both r2c1 and r3c8 as "9"

This effect was first mentioned here by keith a few weeks ago (thread: "A day for easy puzzles?")

BTW, the pattern in those 5 cells can also be seen as a skyscraper in rows 3 and 4. The same elimination is made, but the logic is different.
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