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Today's puzzle (Saturday, 2nd September 2006)
Jankonyex
Kwon-Tom Obsessive
Puzzles: 5680
Best Total: 9m 35s
Posted - 2006.09.02 01:00:08
In a square-23-32 pattern:

in general, 2s cannot at corner situations, so there should have 1 line go to ?,
also it's sym. , so:


It's useful in counting, this is an example:


Jankonyex
Kwon-Tom Obsessive
Puzzles: 5680
Best Total: 9m 35s
Posted - 2006.09.02 01:39:09
also other little patterns:

foilman
Kwon-Tom Admin
Puzzles: 3614
Best Total: 24m 6s
Posted - 2006.09.02 10:19:20
Nice patterns! I hadn't thought the first one through before, but now that you've posted it it's fairly obvious. I think I'll try today's puzzle again and see if I can improve on my time now...
Naivoj
Kwon-Tom Addict
Puzzles: 314
Best Total: 33m 50s
Posted - 2006.09.02 23:22:22
In the second part of your example I do not understand how you are deducting the 4 horizontal lines at the very top. Why they can not also be 4x? I suppose it has to do with the counting you were referring to,
PuzzleLover
Kwon-Tom Obsessive
Puzzles: 1033
Best Total: 38m 17s
Posted - 2006.09.02 23:43:52
Quote:
Originally Posted by naivoj
In the second part of your example I do not understand how you are deducting the 4 horizontal lines at the very top. Why they can not also be 4x? I suppose it has to do with the counting you were referring to,
It didn't jump out at me either.  Three diagonal 2's with x's cause three endpoints to enter the upper right corner region.  You need an even number, and the 4th can only enter along the top row.

The x below r4c6 seems pretty subtle to me, but I figured it out.  If others are too stumped by it, yell.

I was also slow seeing why the top line must keep extending left instead of turning down at r1c4.  I first thought the x below r4c6 was needed to force this, but I see now they can be deduced together.

Very nice patterns!
Last edited by PuzzleLover - 2006.09.02 23:48:18
Envelope
Kwon-Tom Addict
Puzzles: 307
Best Total: 33m 49s
Posted - 2006.09.03 02:58:06
Another pattern that I haven't seen on the forum is this:


From that, you can derive 2 x's and a line.

It isn't specific to this puzzle, but it helps in general to look around the borders for these combinations.
procrastinator
Kwon-Tom Obsessive
Puzzles: 1083
Best Total: 12m 56s
Posted - 2006.09.03 03:08:29
Quote:
Originally Posted by envelope
Another pattern that I haven't seen on the forum is...

That was in drnull's big list of basic patterns in the Logical Thinking thread. Notice you don't need a border to make it work, just a single x.
Envelope
Kwon-Tom Addict
Puzzles: 307
Best Total: 33m 49s
Posted - 2006.09.04 05:06:54
Ahh, That's probably why I overlooked it...

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