Need help!

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Need help!

Postby stephenbuffalo » Sat Jul 15, 2006 2:27 pm

Please, what's the next number and what's the logic behind it?
I'm coming across this type of problem a lot and can't figure out a way to solve it, besides quessing.


*-----------------------*
| 1 6 4| 2 5 7/ 8 3 9|
| 3 8 2| 4 9 6| 5 1 7|
| 9 7 5| . . 8| 4 6 2|
|-------+-------+-------|
| 2 4 1| 6 . 9| 7 5 . |
| 5 9 7| . . 2| 6 4 . |
| 6 3 8| 5 7 4 | 2 9 1|
|-------+-------+-------|
| 8 2 3| 9 6 5| 1 7 4|
| 7 1 6| 8 4 3| 9 2 5|
| 4 5 9| 7 2 1| 3 8 6|
*-----------------------*
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Postby MCC » Sat Jul 15, 2006 2:41 pm

Looks like you've got an Unique Rectangle here, for information on UR's click here.

It'll show you why r5c5 must be an 8.


MCC
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Re: Need help!

Postby fermat » Sat Jul 15, 2006 2:51 pm

stephenbuffalo wrote:Please, what's the next number and what's the logic behind it?
I'm coming across this type of problem a lot and can't figure out a way to solve it, besides quessing.


This puzzle has 3 solutions and is thus not a valid sudoku.
R5C5 could be 1, 3 or 8 and the puzzle can then be completed.

The apparent pattern is a unique rectangle but you have 2 patterns working on the one square.
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help

Postby stephenbuffalo » Sat Jul 15, 2006 3:08 pm

I got the puzzle from Su Doku for Dummies.
Should be ok
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Not sure

Postby stephenbuffalo » Sat Jul 15, 2006 3:12 pm

MCC wrote:Looks like you've got an Unique Rectangle here, for information on UR's click here.

It'll show you why r5c5 must be an 8.


MCC


It looks like I can have 2 UR's with different results

UR 1: r3c4, r3c5, r5c4,r5c5 with r5c5 =8
UR 2: r4c5, r4c9, r5c5,r5c9 with r5c5=1

can you explain?
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Re: Need help!

Postby stephenbuffalo » Sat Jul 15, 2006 3:24 pm

fermat wrote:
stephenbuffalo wrote:Please, what's the next number and what's the logic behind it?
I'm coming across this type of problem a lot and can't figure out a way to solve it, besides quessing.


This puzzle has 3 solutions and is thus not a valid sudoku.
R5C5 could be 1, 3 or 8 and the puzzle can then be completed.

The apparent pattern is a unique rectangle but you have 2 patterns working on the one square.


OOPs,
r6c3 isn't an 8: r5c3 is and 8

looks like I'm the Dummie
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Postby TKiel » Sat Jul 15, 2006 5:25 pm

Can you post the original puzzle?

Tracy
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Postby stephenbuffalo » Sun Jul 16, 2006 1:18 pm

TKiel wrote:Can you post the original puzzle?

Tracy


Here's the right version. I had a number in the wrong plane in the beginning. Have fun.

* * 4/2 5 */8 * 9/
3 * 2/4 * */* * 7
* 7 */* * */* * */
2 * 1/* * 9/* * */
* * 8/* * */6 * * /
* * */5 * * /2 * 1/
* * */* * */* 7 */
7 * * /* * 3/9 * 5/
4 * 9/* 2 1/3 * */
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Postby Carcul » Sun Jul 16, 2006 1:46 pm

StephenBuffalo wrote:Here's the right version.


In that case, here is a solution:

[r2c8]=1=[r2c5]-1-[r3c5]=1|8=[r4c5]-8-[r4c9]=8=[r9c9]=6=[r9c8]-
-6-[r2c8], => r2c8<>6 and that solve the puzzle.

The notation is explained here.

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