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Comments on Puzzle #5327: with no purpose
By mishele (michalaizi)

peek at solution       solve puzzle
  quality:   difficulty:   solvability: moderate lookahead  

Puzzle Description:

just like the name of the puzzle

#1: Adam Nielson (monkeyboy) on Mar 11, 2009 [SPOILER]

I used edge logic on the green, and was easily able to solve it.
#2: Web Paint-By-Number Robot (webpbn) on Mar 11, 2009
Found to require some guessing by jan.
#3: Twillis (twillis) on Mar 12, 2009
I also ended up guessing on the green, but I may have just been too tired to make edge logic work.
#4: Petra Lassen (Stjarna) on Mar 12, 2009
I used edge logic too... but I guessed where to start to count - and I guessed right.
#5: Jan Wolter (jan) on Mar 12, 2009
I was unable to find any way to solve this with edge logic. I'd be interested in what edge you found that worked.
#6: Adam Nielson (monkeyboy) on Mar 12, 2009 [HINT]
I started with the 1 in the 8th column, placing it in the top left corner and went down (I think).

Maybe that is more trial and error, I don't know. I don't really want to debate the semantics and terminology of edge logic vs. guessing, vs trial and error. I am probably wrong about calling what I did edge logic, then.
#7: Petra Lassen (stjarna) on Mar 12, 2009 [SPOILER]
I went the other way, but that's basically the same. Maybe it's smile logic?
#8: Jane Doe (telly) on Mar 13, 2009
I did what Petra did and got it...but like Adam said, it might just be guessing, or whatever.

I found this puzzle to fit it's title well...no purpose in doing it.
#9: Gator (Gator) on Jul 30, 2009 [HINT]
If you try to fill in R9C13, this would cause R5C10 and R7C10 to be filled in, which makes column 10 invalid. So R9C13 is a dot. Next consider the 3 clue in row 5. If you try to place it in columns 8 - 10, the rest of columns 8 and 10 will be dotted, causing the 3 clue in row 7 and the 2 clue in row 9 to fill in what is left which makes column 12 invalid. So R5C8 is a dot. The remainder will solve normally.
#10: Jan Wolter (jan) on Jul 30, 2009 [HINT]
Hmmm... at this point we are solving just the green, so it's essentially a 6x6 puzzle. In your "next consider the 3 clue" step, you looked at row 10, columns 8 and 10, row 7 and 9, and then found a contradiction in column 12. That's an awful lot of look-ahead, involving half the rows and half the columns of the puzzle. I guess you can do it in you head, but only because the puzzle is so tiny.

I think that goes a bit beyond the limit of what I'd call logical solving and drifts into trial and error search. It's a fuzzy line, but I'm going to let the "some guessing" ruling stand on this one.

Ingenious though.
#11: Gator (Gator) on Jul 30, 2009 [HINT]
I agree as you have to look one more step ahead than I would consider valid for contradiction logic. The size just makes it easier to do in your head. It was fun to work out this contradiction. :)
#12: Kristen Vognild (kristen) on Jul 6, 2014
Perhaps this could be reclassified as Deep Lookahead?
#13: Web Paint-By-Number Robot (webpbn) on Jul 30, 2014
Found to be solvable with deep lookahead by gator.
#14: Gator (gator) on Jul 30, 2014
Agreed.
#15: RB (rb2013) on Apr 27, 2020 [HINT]
Solution for the green part:
Check out Gator's puzzle 'Some call them skeleton' and ripkoops's puzzle 'Buckley' for some similar interesting logical reasoning.

Here, look at the sole 1 clue in C10 and the 3s in R5 and R7. One of the 3s have to go in C8-10, otherwise R5C10 and R7C10 (the contradiction ressembles to the one in #9) both have to be black, invalidating C10. It means that either R5C12 or R7C12 has to be filled, so the only 1 clue in C12 cannot be put in other rows. So R4,6,8-9 in C12 are dots.

The same logic can be applied to the 1 clue in R6 and the 3s in C8 and C10, so either R8C9 or R8C11 has to be black -> R8 C8,10,12-13 are dots (R8C12 is has already been dotted). LL gets an extra dot in R9C13.

Now consider the case when R9C10 is filled. Because of there's only an 1 clue in C10, R5C10 and R7C10 are dots. These imply that R5C13 and R7C13 have to be black (because of the 3 clues), which contradicts the condition in C13. Therefore, R9C10 is also a dot. LL solves the puzzle easily from this point.

These reasonings require 2 steps of lookahead, which may be appropriate for a moderate lookahead solution.
#16: Web Paint-By-Number Robot (webpbn) on Sep 23, 2020
Found to be solvable with moderate lookahead by gator.
#17: Gator (gator) on Sep 23, 2020 [HINT]
I agree that we would consider this more moderate lookahead. Looking at it again, it is clearly 2 moves ahead.

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