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 Post subject: KiMo 2008
PostPosted: Sun May 18, 2008 1:15 pm 
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Grand Master
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Joined: Wed Apr 30, 2008 9:45 pm
Posts: 693
Location: Saudi Arabia
KiMo 35 X

For those who have not tried these before it is a Killer Modulo (10). The numbers in the cages are the last digit of the cage sum. So the 1 in r1c456 means the cage is 11(3) or 21(3).
Note it is also X, so no repeats on the main diagonals.

This is reasonably hard.


Image

Extra cage added given Afmob's dual solution comment.


Last edited by HATMAN on Sun May 18, 2008 5:28 pm, edited 1 time in total.

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 Post subject: Re: KiMo 2008
PostPosted: Sun May 18, 2008 4:22 pm 
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Grand Master
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Joined: Mon Apr 21, 2008 9:44 am
Posts: 310
Location: MV, Germany
I don't know if I made a mistake but I got two solutions:

Code:
.----.----.----.----.----.----.----.----.----.
| 5  | 9  | 7  | 1  | 8  | 2  | 34 | 34 | 6  |
:----+----+----'----+----+----'----+----+----:
| 4  | 2  | 6    3  | 5  | 9    1  | 7  | 8  |
:----+----+----.----+----'----.----+----+----:
| 3  | 1  | 8  | 6  | 4    7  | 5  | 2  | 9  |
:----+----+----+----+----.----+----+----+----:
| 8  | 5  | 9  | 4  | 7  | 3  | 6  | 1  | 2  |
|    :----:    :----+----+----+----+----+----:
| 7  | 6  | 2  | 8  | 1  | 5  | 49 | 49 | 3  |
|    :----+----+----+----+----+----+----+----:
| 1  | 4  | 3  | 9  | 2  | 6  | 7  | 8  | 5  |
:----+----+----+----+----+----+----+----+----:
| 69 | 7  | 4  | 2  | 36 | 8  | 39 | 5  | 1  |
:----+----+----+----+----+----+----+----+----:
| 69 | 8  | 5  | 7  | 36 | 1  | 2  | 39 | 4  |
:----+----+----+----+----+----+----+----+----:
| 2  | 3  | 1  | 5  | 9  | 4  | 8  | 6  | 7  |
'----'----'----'----'----'----'----'----'----'


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 Post subject: Re: KiMo 2008
PostPosted: Sun May 18, 2008 5:32 pm 
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Grand Master
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Joined: Wed Apr 30, 2008 9:45 pm
Posts: 693
Location: Saudi Arabia
Afmob

You are correct - I made this with a full set of cages (posted on DJApe's site) and stripped out those I did not use. Somehow I took out one too many.

How did you find it for difficulty - I find them hard to judge?

Maurice


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 Post subject: Re: KiMo 2008
PostPosted: Sun May 18, 2008 6:55 pm 
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Joined: Mon Apr 21, 2008 9:44 am
Posts: 310
Location: MV, Germany
This puzzle was hard alright but solvable without T & E. The hard parts were the start where you had to think about possible cage combos and candiate eliminations that follow from that and afterwards using modulo 10 on the Innies of the Nonets to get their size right.


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