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12 March 2009 @ 08:27 am
3/12/09 - Stacked Boxes  
6x6 KenKen*



*This puzzle uses my rule adaptation where multi-cell subtraction and multi-cell division is performed by identifying a largest element x1 and then successively applying that operation, starting from the largest number, like this: x1 - x2 - x3 - x4 = 1 for 1- in 4 cells. I will continue to explore - and / over the next couple days to learn what KenKen can gain from these operations and I will no longer try to cleanly use regular KenKen rules as I have in the last six days. For my original discussion on the "problem" of these two operations, go here.
 
 
( 4 comments — Post a new comment )
cyrebjr[info]cyrebjr on March 12th, 2009 07:23 pm (UTC)
First! (I think?)
Walkthrough ("contains" gives full contents in unknown order):

In C6, 5- contains 16 and 1- includes 5. Since 1- cannot have 45 and one other, 36x has 4 and is 343, while 1- is 252.

Next, the 1- in R6C34 contains 34 and leaves 16 for 2/, so R5C1=3. Meanwhile, R1 contains 12 and 56 in some order. Since 6-5-1=0, the left 1- instead contains 12 with the third number being 4. This means 3- contains 25, and R16C1 can be disambiguated.

12..34
4....3
......
......
3....2
61..25

Now, the 6 in R5 is in 1- and not 20x, and its other digits cannot be 23, so this 1- contains 146, with R5C3=1. This pins R5C2=6, R4C5=1, R3C6=1, and R4C6=1, with R4C2=4.

12..34
4....3
.....1
.4..16
361..2
61..25

Here, the rest of the boxes can be completed easily, in this order: 10+, 12+, 3-, 20x, 1-(R1), 15+, 1-(R6).

125634
452163
236451
543216
361542
614325

By the way, I'm posting a KenKen on my LJ. You can find it and many other puzzles under the "puzzles" tag.
cyrebjr: Numbers[info]cyrebjr on March 13th, 2009 03:13 am (UTC)
Re: First! (I think?)
cyrebjr[info]cyrebjr on March 13th, 2009 03:19 am (UTC)
Re: First! (I think?)
Actually, it's "puzzle," not "puzzles."
lunchboy[info]lunchboy on March 13th, 2009 10:25 pm (UTC)
Cool. I enjoyed the outside-in solving path.