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"some guesswork involved"

 
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Auburnmom



Joined: 13 Mar 2008
Posts: 25
Location: Auburn, AL

PostPosted: Fri Apr 10, 2009 7:15 pm    Post subject: "some guesswork involved" Reply with quote

Our newspaper stated with a puzzle "Saturday's puzzle cannot be solved exclusively by logic, some guesswork, or trial and error, is involved"

Is this true?

Our solution so far:

2 7 14 8 9 6 3 14 5
5 8 6 14 2 3 7 14 9
14 9 3 5 7 14 6 2 8
7 345 458 2 368 489 1 69 34
1489 143 2 14 136 5 8 69 7
148 14 7 9 18 2 5 3 6
3 15 158 6 4 18 9 7 2
6 2 9 3 5 7 4 8 1
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Fri Apr 10, 2009 7:24 pm    Post subject: Reply with quote

Auburnmom,
hi,
not sure if you are aware but your puzzle contains only 8 rows.
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Auburnmom



Joined: 13 Mar 2008
Posts: 25
Location: Auburn, AL

PostPosted: Fri Apr 10, 2009 7:30 pm    Post subject: Reply with quote

MY BAD!

Our newspaper stated with a puzzle "Saturday's puzzle cannot be solved exclusively by logic, some guesswork, or trial and error, is involved"

Is this true?

Our solution so far:

2 7 14 8 9 6 3 14 5
5 8 6 14 2 3 7 14 9
14 9 3 5 7 14 6 2 8
7 345 458 2 368 489 1 69 34
1489 6 148 7 138 1489 2 5 34
149 134 2 14 136 5 8 69 7
148 14 7 9 18 2 5 3 6
3 15 158 6 4 18 9 7 2
6 2 9 3 5 7 4 8 1
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Fri Apr 10, 2009 8:05 pm    Post subject: Reply with quote

No guesswork or trial and error is required. Here is one solution path, and I'm sure there are others.

First, a 14 Remote Naked Pair:
Code:
+-----------------+---------------+-----------+
| 2     7   B14   | 8   9    6    | 3 C14  5  |
| 5     8    6    |E14  2    3    | 7 D14  9  |
|A14    9    3    | 5   7    14   | 6  2   8  |
+-----------------+---------------+-----------+
| 7     345  458  | 2   368  489  | 1  69  34 |
| 1489  6    148  | 7   138  1489 | 2  5   34 |
|#9-14  134  2    |F14  136  5    | 8  69  7  |
+-----------------+---------------+-----------+
| 148   14   7    | 9   18   2    | 5  3   6  |
| 3     15   158  | 6   4    18   | 9  7   2  |
| 6     2    9    | 3   5    7    | 4  8   1  |
+-----------------+---------------+-----------+

The six 14 cells link up in order, A through F, as marked. A and F are the RNP that eliminate <1> and <4> from r6c1, marked #.

After simplification, there is an X-Wing on 8. But, I'll skip that and instead use a Turbot Fish (or simple coloring) on 1:
Code:
+---------------+-------------+-----------+
| 2    7    14  | 8   9    6  | 3  14  5  |
| 5    8    6   | 14  2    3  | 7  14  9  |
|A14   9    3   | 5   7   B14 | 6  2   8  |
+---------------+-------------+-----------+
| 7    345  458 | 2   6    48 | 1  9   34 |
| 148  6    148 | 7   138  9  | 2  5   34 |
| 9    134  2   | 14  13   5  | 8  6   7  |
+---------------+-------------+-----------+
|#48-1 14   7   | 9  D18   2  | 5  3   6  |
| 3    15   158 | 6   4   C18 | 9  7   2  |
| 6    2    9   | 3   5    7  | 4  8   1  |
+---------------+-------------+-----------+

The <1>s marked A through D link up, with A and D as pincers to eliminate <1> from r7c1, marked #.

Some more simplification leads to an XY-Wing that solves the puzzle:
Code:
+---------------+--------------+-----------+
| 2    7    14  | 8    9    6  | 3  14  5  |
| 5    8    6   | 14   2    3  | 7  14  9  |
| 14   9    3   | 5    7    14 | 6  2   8  |
+---------------+--------------+-----------+
| 7    345  458 | 2    6    48 | 1  9   34 |
| 148  6    148 | 7    38   9  | 2  5   34 |
| 9   v34   2   | 14  p13   5  | 8  6   7  |
+---------------+--------------+-----------+
| 48  p14   7   | 9   #8-1  2  | 5  3   6  |
| 3    15   158 | 6    4    18 | 9  7   2  |
| 6    2    9   | 3    5    7  | 4  8   1  |
+---------------+--------------+-----------+

The pivot is marked v and the pincers p. <1> is eliminated from r7c5, marked #.
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Fri Apr 10, 2009 8:09 pm    Post subject: Reply with quote

Code:
.------------------.------------------.------------------.
| 2     7     14   | 8     9     6    | 3     14    5    |
| 5     8     6    | 14    2     3    | 7     14    9    |
| 14    9     3    | 5     7     14   | 6     2     8    |
:------------------+------------------+------------------:
| 7     345   458  | 2     368   489  | 1     69    34   |
| 1489  6     148  | 7     138   1489 | 2     5     34   |
| 149   134   2    | 14    136   5    | 8     69    7    |
:------------------+------------------+------------------:
| 148   14    7    | 9     18    2    | 5     3     6    |
| 3     15    158  | 6     4     18   | 9     7     2    |
| 6     2     9    | 3     5     7    | 4     8     1    |
'------------------'------------------'------------------'


Auburnmom,
very nice puzzle! I know of at least a couple other solvers on this site who will love this puzzle with all the available moves. AND combine that with the fact that I don't see a VH move which solves it in one.
But unlike what the newspaper has said, this puzzle is definitely solved with logic.
there is no guess work needed.
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Auburnmom



Joined: 13 Mar 2008
Posts: 25
Location: Auburn, AL

PostPosted: Fri Apr 10, 2009 9:00 pm    Post subject: Reply with quote

Thank you so much. We haven't mastered RNP and Turbot Fish. I have just gotten where I can find most xy wings.

We can do all hards and then really have to work on the VH. These Saturday puzzles in our paper are very challenging so we will have to keep at it.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Fri Apr 10, 2009 10:37 pm    Post subject: Reply with quote

Auburnmom,

What is the newspaper, and does the puzzle have any copyright or other indication of its source?

Also, how do you post a question about Saturday's puzzle on Friday?

EDIT: Aha! This is last Saturday's DB puzzle, which Earl routinely posts. Look here:

http://www.dailysudoku.com/sudoku/forums/viewtopic.php?t=3422

Keith Smile
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