## Help with X-wings

Advanced methods and approaches for solving Sudoku puzzles

### Help with X-wings

I've read a LOT of X-wing explanations and haven't understood ANY of them. Could anyone please direct me to a CLEAR, UNAMBIGUOUS one? I guess I'd classify myself as a "high intermediate" but I need something written so ANYONE can understand it!

Thanks!
sususudoku

Posts: 4
Joined: 20 May 2006

Here is a picture of an X-Wing:

The red lines connect 2's that are strongly linked... they are the only possibilities for 2 in rows 4 and 8. The possible ways that those two can be in the solution are marked, one in red and the other in blue(2's written in blue cells). Both possibilities lead to the elimination of the Twos in the red boxes marked with a red X's.

This can be extended to more than 2 rows(or columns). Here is a Swordfish, which is the same concept only has more cells.

Swordfish:

In the picture above, the possibilities are again marked with read and blue 2's. and the 2's in the boxes marked with red X's can be eliminated.

Basically you find possible cells for a particular number in a row (or column )and you have to find the same possible cells(some can be filled with other numbers) in more rows(or columns) and then you eliminate what ever line up with those cells along the columns(or rows)-notice the switch here.

These concepts can be extended to 4 or more rows/columns and they call the squirmbags or squirmfishes or octopi or something... 'higher fishes'. I think there are example of x-cycles.

I hope that helps.
doduff

Posts: 32
Joined: 29 May 2006

### Re: Help with X-wings

sususudoku wrote:"..I've read a LOT of X-wing explanations and haven't understood ANY of them......but I need something written so ANYONE can understand it!..."

I've seen many explanations of the "X-wing" pattern but I found emm's following explanation was the easiest to understand:

"XWING : If there are only two candidates of a number in any 2 rows (or columns) and they are also in exactly the same 2 columns (or rows) then they form an Xwing and you can eliminate that candidate elsewhere in those columns (or rows)."

For further details of emm's related post just click on Here

Cec
Cec

Posts: 1039
Joined: 16 June 2005

I wrote this a while back: http://forum.enjoysudoku.com/viewtopic.php?t=3326

Havard
Havard

Posts: 377
Joined: 25 December 2005

Thank you all for responding. Problem finally solved!

Me
sususudoku

Posts: 4
Joined: 20 May 2006

### Help with X-wings

Havard wrote:I wrote this a while back: http://forum.enjoysudoku.com/viewtopic.php?t=3326