Nr. 122 in my book - the first I got stuck with so far

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Nr. 122 in my book - the first I got stuck with so far

Postby yasmin » Sat Apr 08, 2006 3:15 pm

Hi,

..1…..9.8..9.7..2….6..4.5.3..8….4.1.9….7….6.3..2….5..6.7..9…….1..

this is one I posted in another thread in "advanced solving" but still don't manage it except for finding the two missing 6's in the right-hand column, which are obvious.

I'd really appreciate your clues in getting any further with it than the two said 6's.

thanks
Yasmin
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Postby kevinzhong2001 » Sat Apr 08, 2006 7:43 pm

It would be nice if you organize your puzzle a little bit. It's kind of easy to figure it out in 2D instead of 1D.
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Postby yasmin » Sat Apr 08, 2006 9:47 pm

Is this any better? I don't get how to get the perfect display. How do you get the columns to be the same width?
By the way, this puzzle is not from any pappcom book, it is from a cheap booklet I bought in Switzerland, not sure by whom.

Code: Select all
-------------
|..1|...|...|
|.8.|.9.|7..|
|2..|..6|..4|
|---+---+---
|.5.|3..|8..|
|..4|.1.|9..|
|7..|...|.6.|
|---+---+---
|3..|2..|..5|
|..6|.7.|.9.|
|...|...|1..|
-------------
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Postby lunababy_moonchild » Sat Apr 08, 2006 9:52 pm

Hi Yasmin and welcome to the Forum.

You seem to have pretty much got this sussed but check this post out for further information. New topics - How to ask for help [Updated: 01 February 2006]

Luna
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Postby emm » Sat Apr 08, 2006 10:09 pm

I remember this puzzle, Yasmin – you went off to have a baby. I hope all went well.:D

Here is the original thread in the advanced solvers forum - with contributions this is as far as it got.

Code: Select all
 *-----------------------------------------------------------*
 | 457   6     1     | 4578  2358  3578  | 235   358   9     |
 | 45    8     35    | 145   9     1235  | 7     1235  6     |
 | 2     79    359   | 1578  358   6     | 35    1358  4     |
 |-------------------+-------------------+-------------------|
 | 19    5     29    | 3     6     247   | 8     24    17    |
 | 6     23    4     | 578   1     2578  | 9     235   237   |
 | 8     13    7     | 9     25    45    | 245   6     13    |
 |-------------------+-------------------+-------------------|
 | 3     19    8     | 2     4     19    | 6     7     5     |
 | 15    124   6     | 158   7     1358  | 34    9     238   |
 | 79    2479  25    | 6     358   3589  | 1     234   238   |
 *-----------------------------------------------------------*
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Postby r.e.s. » Sun Apr 09, 2006 1:25 am

The puzzle yasmin posted above has 11 solutions, but the one emm just posted has only one. (One difference is r6c1.)
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Postby emm » Sun Apr 09, 2006 9:52 am

This is the original puzzle.
Code: Select all
-------------
|..1|...|..9|
|.8.|.9.|7..|
|2..|..6|..4|
|---+---+---
|.5.|3..|8..|
|..4|.1.|9..|
|..7|...|.6.|
|---+---+---
|3..|2..|..5|
|..6|.7.|.9.|
|...|...|1..|
-------------
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Postby yasmin » Sun Apr 09, 2006 1:47 pm

Hi guys, sorry but you're right, I somehow made a typing mistake despite proof-reading (it was late at night if that's any excuse...).

R6C1 is empty. R6C3 is 7 as in Emm's version. R1C9 is empty, the 9 in R1C9 is the obvious naked single to get filled-in right away.

So the original puzzle goes like this:
Code: Select all

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

[/code}
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Posts: 20
Joined: 24 February 2006

A possible solution

Postby Carcul » Mon Apr 10, 2006 7:50 am

1. Almost Locked Sets xz-rule:

A=r3c2/r3c3/r3c5/r3c7
B=r7c5/r7c7/r7c8
x=8
z=7

=> r7c2<>7.

2. [r1c7]-6-[r1c2]=6=[r5c2]-6-[r5c4]=6=[r9c4]-6-[r9c9]=6=[r7c7]-6-[r1c7], => r1c7<>6.

3. [r4c5]-4-[r4c8]-2-[r4c3]-9-[r7c3]-8-[r7c5]-4-[r4c5], => r4c5<>4.

4. [r7c5]-8-[r3c5]=8|9=[r3c3]-9-[r7c3]-8-[r7c5], => r7c5<>8.

5. [r9c1]=7=[r9c2]-7-[r3c2]-9-[r7c2]-1-[r2c1|r8c1]-4,5-[r9c1], => r9c1<>4,5.

6. [r8c1]=5=[r9c3]=2=[r4c3]-2-[r4c8]-4-[r9c8]=4=[r9c2]-4-[r8c1], => r8c1<>4.

7. [r7c2]-1-[r8c1]-5-[r1c1|r1c2|r2c1]-7-[r3c2]-9-[r7c2], => r8c2<>1; r6c2/r9c2<>9.

8. [r4c3]=2=[r9c3]-2-[r8c2]-4-[r9c2]=4=[r9c8]-4-[r4c8]-2-[r4c3], => r9c2/r4c5/r4c6/r4c9<>2.

9. [r1c6]-7-[r3c4]=7=[r3c2]-7-[r9c2]-4-[r9c8]=4=[r4c8]-4-[r4c6]-7-[r1c6], => r1c6<>7.

10. [r5c9]=7=[r5c6]-7-[r4c6]-4-[r4c8]-2-[r5c9], => r5c9<>2.

11. [r2c8]=2=[r2c6]-2-[r1c5]=2=[r6c5]-2-[r6c7|r6c9]=2=[r4c8|r5c8]-2-[r2c8], => r1c6/r6c2/r6c6/r9c8/r1c8<>2.

12. [r6c9]-2-[r9c9]=2=[r9c3]-2-[r4c3]=2=[r4c8]-2-[r6c9], => r6c9<>2.

13. [r3c4]=7=[r3c2]=9=[r7c2]=1=[r7c6]-1-[r5c4|r8c4]-5,8-[r3c4], => r3c4<>5,8.

14. [r5c4]=8=[r8c4]-8-[r8c9]-2-[r8c2]=2=[r5c2]-2-[r5c8]-5-[r5c4], => r5c4<>5.

15. [r9c1]=7=[r9c2]=4=[r9c8]-4-[r4c8]-2-[r2c8]=2=[r2c6]=1=[r7c6]=9=[r9c6]-9-[r9c1], => r9c1<>9 which solve the puzzle.

Carcul
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Postby yasmin » Tue Apr 18, 2006 8:09 pm

Thanks Carcul for taking the trouble to write me all the way you got to the solution, and sorry I didn't reply yet - I've got a cute little 1 month old baby to attend to ...
I'm not sure yet I can read all the signs correctly in this way of writing. I gather that <> mean "not"? and => obviously means therefore. Please write me what = and - mean and also |. Or else a link to where someone wrote all this out (legend for the signs) so I can follow your logic.

Thanks again
Yasmin
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Postby Carcul » Wed Apr 19, 2006 8:09 am

Hi Yasmin.

Regarding the notation used, please consult this post. If you have any doubt, post it here.
Good luck with your baby.

Regards, Carcul
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