## Not sure if these are Remote Pairs

Post the puzzle or solving technique that's causing you trouble and someone will help

### Not sure if these are Remote Pairs

Hello, I'm a newbe to this forum and to sudoku and to posting in general.

My concern is that I encountered what could be Rremote Pairs of 1 and 6 in R9C35 and R8C58. The puzzle is from Andoku. When opened with Hoduku it reported an invalid puzzle. Sadman solved it placing a 3 in R7C8. My confusion is that it appears to consider R7C3 as part of the pairs, even if that cell has a 5 in it. I am also confused because I thought that remote pairs hat to be an even number. Sadmans solution appears to consider 5 Remote Pairs.

Any suggstion?
Audres
remote pairs.png (63.68 KiB) Viewed 512 times
Audres

Posts: 2
Joined: 17 April 2014

### Re: Not sure if these are Remote Pairs

That is certainly a valid puzzle.

There isn't anything useful you can do with the Remote Pair you mention, at least using the simpler definition of remote pairs. However I have seen a more complex definition that incorporates ideas from unique rectangles. Using that more complex version there is an elimination that can be made. Using the Unique Rectangle type 4 principal combined with the four cells you mentioned, since R7C38 must contain 6, it can't contain 1. This pattern works with six cells, R9C35, R8C58, and R7C38.

JasonLion
2017 Supporter

Posts: 640
Joined: 25 October 2007
Location: Silver Spring, MD, USA

### Re: Not sure if these are Remote Pairs

Makes sense. Very helpful, thanks a lot.
Audres

Posts: 2
Joined: 17 April 2014

### Re: Not sure if these are Remote Pairs

Hi Audres,

Your diagram shows that 8 can only go in Column 1 of Row 2, so you can immediately solve that cell.

Also in Row 9 there is a naked pair 16 in Columns 3 and 5, so you can remove the 1 from r9c1.

After that there is an XWing in 1's in Columns 1 and 9, Rows 3 and 7, which removes the 1 's from r7c3 and r7c8.

Finally there is a W Wing (23) in r1c9 and r2c2 linked by a pair of 2's in Column 3, which removes the 3's from r1c1 and r2c8.

Thereafter the puzzle solves by a cascade of singles.

Leren
Leren

Posts: 3319
Joined: 03 June 2012

### Re: Not sure if these are Remote Pairs

At bottom, you got them 1 or 6's across bottom row, well that means the bottom left 1, 3 or 7, you can erase the 1, because there will be a 1 or 6 in the other two. That doesn't add anything, but it narrows that down.
RyanStorm

Posts: 32
Joined: 04 May 2014