Two Eliminations Using Single-Digit Technique ?

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Two Eliminations Using Single-Digit Technique ?

Postby daj95376 » Sun Nov 19, 2006 10:45 pm

In the puzzle below, there are two eliminations in <6> that I can obtain through two sdICs. Is there a way to eliminate them in the same operation using just the single-digit <6>? In particular, is there a fish that performs both eliminations?

Code: Select all
..42.78...7..4..5.3..5.9..41.....9...9.....6...5.....85..8.3..9.3..7..8...84.17..

# [r3c7]-6-[r8c7] | [r3c7]=6=[r3c5]-6-[r79c5]=6=[r8c46]-6-[r8c7]
# [r4c3]-6-[r4c5] | [r4c3]=6=[r8c3]-6-[r8c46]=6=[r79c5]-6-[r4c5]
 *--------------------------------------------------------------------*
 | 6      5      4      | 2      13     7      | 8      9      13     |
 | 289    7      129    | 136    4      68     | 1236   5      1236   |
 | 3      128    12     | 5      168    9      | 126    7      4      |
 |----------------------+----------------------+----------------------|
 | 1      2468   236    | 367    2358-6 2456   | 9      234    2357   |
 | 2478   9      23     | 137    123    2458   | 12345  6      12357  |
 | 247    246    5      | 13679  12369  246    | 1234   1234   8      |
 |----------------------+----------------------+----------------------|
 | 5      1246   7      | 8      26     3      | 1246   124    9      |
 | 249    3      1269   | 69     7      256    | 1245-6 8      1256   |
 | 29     26     8      | 4      2569   1      | 7      23     2356   |
 *--------------------------------------------------------------------*
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Postby RW » Sun Nov 19, 2006 11:01 pm

Don't know about fishes, but the same empty rectangle in box 8 causes both eliminations using two different strong links.

RW
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Postby daj95376 » Mon Nov 20, 2006 2:45 am

Thanks RW. I'm in the process of updating my solver and don't have Empty Rectangles in the current solver. On top of that, I've read about ERs but can't spot them at all.

===== ===== ===== =====

At the risk of having more egg on my face, I'll ask about the following puzzle. My solver didn't find anything easy about it. Did it miss something other than a Naked Single, complex eliminations on <46>, and chains?

Code: Select all
 *-----------*
 |3..|8.7|2.1|
 |.9.|.4.|...|
 |..7|..5|..8|
 |---+---+---|
 |7..|...|...|
 |21.|...|.37|
 |...|...|..9|
 |---+---+---|
 |5..|3..|8..|
 |...|.6.|.1.|
 |9.1|5.2|..3|
 *-----------* # I believe this is my first puzzle with a hole in the center
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