Guessing in this Kakuro ?

For fans of Kakuro

Guessing in this Kakuro ?

Hello

My Kakuro solver and generator give me this grid :

I just want if it is possible yo solve this one without guessing and what are the techniques ?

Have a good day
philou

Posts: 7
Joined: 13 March 2007

You can start with naked single, naked pairs and obsolete candidates (for example the 9 in the bottom right corners allows only 2 combinations).
Pyrrhon

Posts: 240
Joined: 26 April 2006

OK, but can you can solve ALL the puzzle whithout guessing

Good night
philou

Posts: 7
Joined: 13 March 2007

I need one case distinction (or call it coloring) near to the end. But this is no problem because it is possible to make it in the head. (Only 2 case are to distinct). But with respect to the hard core rules usually used in the sudoku community it is trial and error. I guess in the battleship community it would't be a problem.
Pyrrhon

Posts: 240
Joined: 26 April 2006

This is a very straight forward kakuro puzzle. No guessing/trial-and-error/case-distinction/coloring is needed whatsoever. You can solve it with pure logical moves and nothing else.

If you need a hint, the trickiest step is:

r2c56+r3c356+r4c68=4+10+8=22
r23c5+r234c6=4+9=13
Therefore r3c3+r4c8=22-13=9

This should crack the grid right open.
udosuk

Posts: 2698
Joined: 17 July 2005

Hello

Thank you, but what is the name of this technic ?
How can i program this technic ?

Good evening
philou

Posts: 7
Joined: 13 March 2007

philou wrote:Thank you, but what is the name of this technic ?

I call it "row-column differences" but some like to call it "the overlapping technique". Whichever works for you.

You can find some more applications of this technique from the following 2 threads:

http://forum.enjoysudoku.com/viewtopic.php?t=4549
http://forum.enjoysudoku.com/viewtopic.php?t=5131

philou wrote:How can i program this technic ?

It could be quite tricky to program this, but should be possible. It's quite similar to the "innies/outies" techniques in Killer Sudoku. But instead of comparing the sums of a group of cages against a group of rows/columns/blocks you're comparing the sums of a group of rows against a group of columns.
udosuk

Posts: 2698
Joined: 17 July 2005