American Way June 15 2007

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American Way June 15 2007

Postby richardm » Sat Jun 30, 2007 10:47 pm

Here's one from the AA in-flight mag I did on the way back from Chicago. Managed it without PM, had some nice devices. I'd be interested to hear whether others make lighter work of this than I did.
Code: Select all
4.. ... 3.5
12. 5.8 ..9
.7. ... .1.

.8. 2.5 .3.
... ... ...
.6. 7.4 .2.

.4. ... .6.
9.. 4.6 .73
6.7 ... ..1


Richard
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Re: American Way June 15 2007

Postby re'born » Sun Jul 01, 2007 8:49 am

richardm wrote:Here's one from the AA in-flight mag I did on the way back from Chicago. Managed it without PM, had some nice devices. I'd be interested to hear whether others make lighter work of this than I did.
Code: Select all
4.. ... 3.5
12. 5.8 ..9
.7. ... .1.

.8. 2.5 .3.
... ... ...
.6. 7.4 .2.

.4. ... .6.
9.. 4.6 .73
6.7 ... ..1

Richard


Singles take us to
Code: Select all
 *--------------------------------------------------------------------*
 | 4      9      6      | 1      27     27     | 3      8      5      |
 | 1      2      3      | 5      6      8      | 7      4      9      |
 | 58     7      58     | 39     4      39     | 2      1      6      |
 |----------------------+----------------------+----------------------|
 | 7      8      19     | 2      19     5      | 6      3      4      |
 | 2      135    4      | 6      8      139    | 159    59     7      |
 | 35     6      159    | 7      139    4      | 159    2      8      |
 |----------------------+----------------------+----------------------|
 | 358    4      158    | 39     13579  1379   | 59     6      2      |
 | 9      15     2      | 4      15     6      | 8      7      3      |
 | 6      35     7      | 8      2359   239    | 4      59     1      |
 *--------------------------------------------------------------------*

where a skyscraper eliminates 1 from r7c3, which gives us r7c1=3 (else we would have a deadly pattern in r37c13<58>). The puzzles now resolves with singles.
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Postby underquark » Sun Jul 01, 2007 6:24 pm

Some pretty colours on 3 and 1 solve it. I like colours, mind you.
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re: American Way June 15 2007

Postby Pat » Sun Jul 08, 2007 1:20 pm

AA in-flight mag wrote:
Code: Select all
 4 . . | . . . | 3 . 5
 1 2 . | 5 . 8 | . . 9
 . 7 . | . . . | . 1 .
-------+-------+------
 . 8 . | 2 . 5 | . 3 .
 . . . | . . . | . . .
 . 6 . | 7 . 4 | . 2 .
-------+-------+------
 . 4 . | . . . | . 6 .
 9 . . | 4 . 6 | . 7 3
 6 . 7 | . . . | . . 1




re'born wrote:a skyscraper eliminates 1 from r7c3, which gives us r7c1=3
(else we would have a deadly pattern in r37c13<58>)

    without assuming Uniqueness-Of-Answer,
    i'd need two Turbot Fish
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Postby daj95376 » Sun Jul 08, 2007 3:08 pm

This puzzle has one of my favorite contradictory patterns: one-verses-multiple. However, fish and colors almost always end up replacing it. In this case, re'born did it with a skyscraper.

Either cell [r8c2]=1 or else the three cells [r5c2],[r7c3],[r8c5] contain <1>. However, [r5c2]=1 removes <1> from [r5c6], and [r8c5]=1 removes <1> from [r46c5]. This leaves [b5] void of <1> and forces [r8c2]=1.
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