Xs and Os (in the corner) ...

Otis

Elite Member
Joined
Apr 22, 2015
Messages
4,414
... to pass the time.

Complete the grid with Xs and Os such that no four consecutive Xs or Os appear horizontally, vertically, or diagonally.
 

Attachments

  • XandO.jpg
    XandO.jpg
    33.2 KB · Views: 1
... To pass the time.

Complete the grid with xs and os such that no four consecutive xs or os appear horizontally, vertically, or diagonally.


\(\displaystyle o \ \ o \ \ \ o \ \ x \ \ x \ \ x \ \ o\)
\(\displaystyle x \ \ o \ \ x \ \ o \ \ \ o \ \ o \ \ x \)
\(\displaystyle o \ \ x \ \ x \ \ o \ \ x \ \ x \ \ o\)
\(\displaystyle o \ \ x \ \ o \ \ \ x \ \ o \ \ o \ \ o \)
\(\displaystyle x \ \ x \ \ x \ \ o \ \ x \ \ o \ \ x\)
\(\displaystyle o \ \ \ o \ \ o \ \ x \ \ o \ \ o \ \ x \)
\(\displaystyle o \ \ x \ \ x \ \ x \ \ o \ \ x \ \ x\)
 
Last edited:
"Diagonally" from corner to corner only?

No. (If that were true, then the puzzle statement would need to specify something like "... or within either diagonal running from corner to corner".)

As worded, the solution cannot contain any four-consecutive-symbols arranged diagonally anywhere within the grid.

Are you in the corner? :smile:
 
\(\displaystyle o \ \ o \ \ \ o \ \ x \ \ x \ \ x \ \ o\)
\(\displaystyle x \ \ o \ \ x \ \ o \ \ \ o \ \ o \ \ x \)
\(\displaystyle o \ \ x \ \ x \ \ o \ \ x \ \ x \ \ o\)
\(\displaystyle o \ \ x \ \ o \ \ \ x \ \ o \ \ o \ \ o \)
\(\displaystyle x \ \ x \ \ x \ \ o \ \ x \ \ o \ \ x\)
\(\displaystyle o \ \ \ o \ \ o \ \ x \ \ o \ \ o \ \ x \)
\(\displaystyle o \ \ x \ \ x \ \ x \ \ o \ \ x \ \ x\)

That is the solution (unique). Good job!
 
Top