## Is there another way?

All about puzzles in newspapers, magazines, and books

### Is there another way?

Hallo!

We have a problem how to move forward.
We have reduced the presented sudoku in Sydsvenska Dagbladet (Samuraj level) 19/8 to the following:

8,X,4,7,3,1,9,X,2
X,X,1,X,5,X, 3,X,X
X,X,X,6,X,9 X,1,8

4,X,X,1,7,3,2,X,6
X,X,X,X,6,X,X,X,X
7,X,X,2,9,4,1,X,5

X,X,X,9,X,7,X,X,X
X,X,X,X,8,X,6,X,X
2,X,7,3,X,6,8,X,9

From this position is the possibilities reduced to the following alternatives for each cell

8,(5/6),4,7,3,1,9,(5/6),2
(6/9),(2/6/7/9),1,(4/8),5,(2/8), 3,(4/6/7),(4/7)
(3/5),(2/3/5/7),(2/5),6,(2/4),9 (4/5/7),1,8

4,(5/8),(5/8/9),1,7,3,2,(8/9),6
(1/3),(1/2/3),(2/9),(5/8),6,(5/8),(4/7),(3/4/7/9),(3/4/7)
7,(3/6/8),(6/8),2,9,4,1,(3/8),5

(1/5/6),(1/4/5/6/8),(5/6/8),9,(1/2/4),7,(4/5),(2/3),(1/3)
(1/9),(1/4/9),3,(4/5),8,(2/5),6,(2/7),(1/7)
2,(1/4/5),7,3,(1/4),6,8,(4/5),9

We can’t find any way to reduce the alternatives anymore but have solved to soduko by testing the two chains that appears if you make a choice in r5,c4 where we have (5/8).
A 5 in this position gives a logical chain of reduction to the correct solution and an 8 will give a logical chain to an error.

This way to solve the soduko is an pragmatic way out of a situation but could anyone see any way to reduce other alternatives in any cell to get a more controlled way to solution.

Christer and Annika – Malmoe Sweden
Christer

Posts: 4
Joined: 20 August 2005

This puzzle as it stands has multiple solutions. I think you can place a 5 in box 4 via an exremely complicated logical operation, but there's not much point, since you'll always have to make a guess anyway, as the puzzle is invalid.

Since it comes from a newspaper, it's worth checking, though, that you typed it in correctly. (And it would be nice if someone else tried it, to check that I typed it in to the solver I used correctly.
PaulIQ164

Posts: 533
Joined: 16 July 2005

Paul

Typo in r8c3; 3 is missing. Simple x-wing on 5s.
Jeff

Posts: 708
Joined: 01 August 2005

Right then!
PaulIQ164

Posts: 533
Joined: 16 July 2005

Provided the information on the missing 3 is correct (Sydsvenskan only displays today's Sudoku so I couldn't check), you should look carefully at digit 5 in columns 1 and 7.

(If you haven't already been helped by Jeff's statement - there were so many eliminations on 5's that it took a while to spot which one he meant).

Really nice to see that there are now some difficult sudokus also in our country!
Anette

Posts: 55
Joined: 09 June 2005

### Sorry about the 3 in r8,c3!

We missed the 3 r8,c3 in the typing.

As I understand should the X-wing on 5's eliminate the 2 in r3,c3 and we have to continue from here..

Thank´s for your attention ...you saved our weekend.

Christer and Annika
Christer

Posts: 4
Joined: 20 August 2005

What I got from the X-wing was a placement of 2 in R3C3 and 5 i R4C3.

After that it was quite easy.

But it sure took a lot of eliminations of 5's to get there........
Anette

Posts: 55
Joined: 09 June 2005