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# Ken Ken

### #1

Posted 11 September 2013 - 06:44 PM

I've gotten hooked on Ken Ken. It's like Sudoku with extra constraints.

Numbers 1-9 must occur in every row and column.

Clusters of numbers must also obey rules.

Within a cluster,

- 15
**+**means they must sum to 15. e.g. 6 and 9. - 5
**-**means the (two) numbers must differ by 5. e.g. 3 and 8. - 72
**x**means their product must be 72, e.g. 2 4 9. - 4
**/**means the (two) numbers must have 4 as a quotient. e.g. 2 and 8.

Clusters for + and **x** can have any number of members.

For **-** and **/** there obviously can be only two members in a cluster.

I find the "expert" 9x9 puzzles can provide 30-60 minutes of fun.

Here's one for you:

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

### #2

Posted 11 September 2013 - 08:48 PM

### #3

Posted 12 September 2013 - 11:13 AM

Please clarify right bottom corner

### #4

Posted 12 September 2013 - 10:25 PM

Please clarify right bottom corner

Three numbers that add to 15.

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

### #5

Posted 13 September 2013 - 01:49 PM

### #6

Posted 13 September 2013 - 05:01 PM

### #7

Posted 13 September 2013 - 09:24 PM

Spoiler for huh??!!84 also is 2x6x7

### #8

Posted 14 September 2013 - 11:16 AM

Spoiler for huh??!!

In your diagram, I would insert 6 above 2. Cells (5,5) and (5,6) respectively.

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

### #9

Posted 14 September 2013 - 11:23 AM

Spoiler for Another Logical Contradiction?

What you have found is that the 5's in columns 7 and 8 go, one each, in the 3- and the 280x clusters.

Possibly in cells (7,1) and (8,5). If not, then in cells (8,1) and (7,4) or (7,5).

And you have found that the 7's in columns 5 and 6 go, one each, in the 21x and the 84x clusters.

Possibly in cells (6,1) and (5,7). If not, then in cells (5,1) and (6,6) or (6,7).

You're making progress.

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

### #10

Posted 14 September 2013 - 11:55 AM

. I had a brain fart there and gave up ! Now I will go back and try to continue

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