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 cant 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.
Please
.;-)
Christer and Annika Malmoe Sweden