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Comments on Puzzle #11857: Whose hat is this?
By Brian Bellis (mootpoint)

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

Puzzle Description:

It's elemetary.

#1: Giovanna Stäger (JMC) on Jan 22, 2011

Sherlock Holmes?
#2: Jota (jota) on Jan 22, 2011
I believe this solves with 'looking ahead" at the top of the hat.
#3: bugaboo (bugaboo) on Jan 22, 2011
it must be holmes hat due to the pipe and the title but the har itself looks like a fur trappers hat or something
haha
not sure how to solve the rest of the hat logically
#4: Tom O'Connell (sensei69) on Jan 23, 2011
i agree with Jota
#5: MrsThing (MrsThing) on Jan 23, 2011 [HINT] [SPOILER]
The pipe and partial hat told me it was Sherlock's hat. It seemed logical that the brim would point down facing the smoking pipe. I tried that bottom right pixel of the hat and it worked fine. :o)
#6: Joe (infrapinklizzard) on Jan 23, 2011 [HINT] [SPOILER]
After finishing the pipe and smoke, and getting a 4|8|4 "UFO" in the upper left, I don't see any way forward short of assuming symmetry. Each look-ahead I tried was able to continue far beyond a few steps.
#7: JoDeen Mozena (ozymoe) on Jan 23, 2011
I agree with Joe...
#8: Gator (Gator) on Jan 24, 2011
I agree with JoDeen...
#9: Gator (Gator) on Jan 25, 2011 [HINT]
I found a rather complicated 2 move look-ahead. What are your thoughts on this?

Imagine in column 9 that R3C9-R5C9 are all dots. This forces R7C9-R9C9 to be black, and it makes R3C10-R5C12 dots (9 cells total). For the second look-ahead, R7C10-R9C10 and R8C11 are black. This makes row 8 invalid, so at least one cell in R3C9-R5C9 is black. Knowing this, we can mark R5C9 as black and R9C9 as a dot.

We can use the same logic with column 4 to make R5C4 black and R9C4 a dot.

If you keep looking at columns 4 and 9 in this fashion, you will be able to make R4C4 and R4C9 black and R8C4 and R8C9 dots. The rest will solve with logic.

It technically fits the 2 move look-ahead criteria, but we usually do not make things dots to try to find contradictions. So I found this one more difficult than a typical 2 move look-ahead. Thoughts?
#10: bugaboo (bugaboo) on Jan 25, 2011
i did something similar but i felt it was guessing
however you are the authority on this issue so if you feel that it counts as logical then i am with you
#11: Tom O'Connell (sensei69) on Jan 25, 2011
i believe its guessing, but your the man Gator
#12: Jota (jota) on Jan 25, 2011
That's what I did Gator, our brains should be able to do some looking ahead ...
#13: Brian Bellis (mootpoint) on Jan 25, 2011 [SPOILER]
Surely Sherlock puzzles should use some assumptions.

Say that three times fast.

That, that, that.
#14: Web Paint-By-Number Robot (webpbn) on Jan 25, 2011
Found to be logically solvable by Gator.
#15: Gator (Gator) on Jan 25, 2011
OK, I'm off the fence now. Great puzzle Brian.
#16: Al LaPointe (kancamagus) on Mar 20, 2011 [HINT] [SPOILER]
I'm glad there was not a "?" on this puzzle, or I would not have attempted it. I found it tough but solvable on the hat. I was able to whittle it away without guessing, and it was quite fun. Well done!
#17: Brian Bellis (mootpoint) on Mar 20, 2011
Oh yes, this was one of my tougher hat puzzles. I'm glad you liked it.
#18: Ashton Bancroft (taggianto) on Jun 6, 2013
It's a death frisbee!
#19: Joe (infrapinklizzard) on Jun 6, 2013 [HINT]
Strictly following Gator's instructions leaves a gap. R8c11 cannot be blackened until you also make r11c3 or c4 a dot. These are definitely dots due to the 4 & 6 in those rows, but it adds yet another bit of lookahead.

I feel comfortable re-rating this as deep-lookahead - a category we didn't have at the time this was first rated.
#20: Web Paint-By-Number Robot (webpbn) on Jun 6, 2013
Found to be solvable with deep lookahead by infrapinklizzard.
#21: Gator (gator) on Jun 12, 2013 [HINT]
Joe - I thought this "and it makes R3C10-R5C12 dots (9 cells total)" covered that.

And I agree this should be deep lookahead.
#22: Joe (infrapinklizzard) on Jun 13, 2013
Sorry, Gator. I guess I missed that.
#23: Norma Dee (norm0908) on Jun 28, 2013
With all that, how did this puzzle get rated easy?
#24: Brian Bellis (mootpoint) on Jun 28, 2013 [SPOILER]
I was wondering the same thing. This puzzle is definitely not elemeNtary.
#25: Ailsa Hebert (bazette3) on Jun 13, 2018
Great solve! I found it wasn't a deep lookahead.

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